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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
MOTOROLA MICROPROCESSOR & MEMORY TECHNOLOGY GROUP
M68000 Hi-Performance Microprocessor Division
M68060 Software Package
Production Release P1.00 -- October 10, 1994
M68060 Software Package Copyright © 1993, 1994 Motorola Inc. All rights reserved.
THE SOFTWARE is provided on an "AS IS" basis and without warranty.
To the maximum extent permitted by applicable law,
MOTOROLA DISCLAIMS ALL WARRANTIES WHETHER EXPRESS OR IMPLIED,
INCLUDING IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE
and any warranty against infringement with regard to the SOFTWARE
(INCLUDING ANY MODIFIED VERSIONS THEREOF) and any accompanying written materials.
To the maximum extent permitted by applicable law,
IN NO EVENT SHALL MOTOROLA BE LIABLE FOR ANY DAMAGES WHATSOEVER
(INCLUDING WITHOUT LIMITATION, DAMAGES FOR LOSS OF BUSINESS PROFITS,
BUSINESS INTERRUPTION, LOSS OF BUSINESS INFORMATION, OR OTHER PECUNIARY LOSS)
ARISING OF THE USE OR INABILITY TO USE THE SOFTWARE.
Motorola assumes no responsibility for the maintenance and support of the SOFTWARE.
You are hereby granted a copyright license to use, modify, and distribute the SOFTWARE
so long as this entire notice is retained without alteration in any modified and/or
redistributed versions, and that such modified versions are clearly identified as such.
No licenses are granted by implication, estoppel or otherwise under any patents
or trademarks of Motorola, Inc.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#
# freal.s:
# This file is appended to the top of the 060FPSP package
# and contains the entry points into the package. The user, in
# effect, branches to one of the branch table entries located
# after _060FPSP_TABLE.
# Also, subroutine stubs exist in this file (_fpsp_done for
# example) that are referenced by the FPSP package itself in order
# to call a given routine. The stub routine actually performs the
# callout. The FPSP code does a "bsr" to the stub routine. This
# extra layer of hierarchy adds a slight performance penalty but
# it makes the FPSP code easier to read and more mainatinable.
#
set _off_bsun, 0x00
set _off_snan, 0x04
set _off_operr, 0x08
set _off_ovfl, 0x0c
set _off_unfl, 0x10
set _off_dz, 0x14
set _off_inex, 0x18
set _off_fline, 0x1c
set _off_fpu_dis, 0x20
set _off_trap, 0x24
set _off_trace, 0x28
set _off_access, 0x2c
set _off_done, 0x30
set _off_imr, 0x40
set _off_dmr, 0x44
set _off_dmw, 0x48
set _off_irw, 0x4c
set _off_irl, 0x50
set _off_drb, 0x54
set _off_drw, 0x58
set _off_drl, 0x5c
set _off_dwb, 0x60
set _off_dww, 0x64
set _off_dwl, 0x68
_060FPSP_TABLE:
###############################################################
# Here's the table of ENTRY POINTS for those linking the package.
bra.l _fpsp_snan
short 0x0000
bra.l _fpsp_operr
short 0x0000
bra.l _fpsp_ovfl
short 0x0000
bra.l _fpsp_unfl
short 0x0000
bra.l _fpsp_dz
short 0x0000
bra.l _fpsp_inex
short 0x0000
bra.l _fpsp_fline
short 0x0000
bra.l _fpsp_unsupp
short 0x0000
bra.l _fpsp_effadd
short 0x0000
space 56
###############################################################
global _fpsp_done
_fpsp_done:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_done,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _real_ovfl
_real_ovfl:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_ovfl,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _real_unfl
_real_unfl:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_unfl,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _real_inex
_real_inex:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_inex,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _real_bsun
_real_bsun:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_bsun,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _real_operr
_real_operr:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_operr,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _real_snan
_real_snan:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_snan,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _real_dz
_real_dz:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_dz,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _real_fline
_real_fline:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_fline,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _real_fpu_disabled
_real_fpu_disabled:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_fpu_dis,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _real_trap
_real_trap:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_trap,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _real_trace
_real_trace:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_trace,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _real_access
_real_access:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_access,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
#######################################
global _imem_read
_imem_read:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_imr,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _dmem_read
_dmem_read:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_dmr,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _dmem_write
_dmem_write:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_dmw,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _imem_read_word
_imem_read_word:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_irw,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _imem_read_long
_imem_read_long:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_irl,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _dmem_read_byte
_dmem_read_byte:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_drb,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _dmem_read_word
_dmem_read_word:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_drw,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _dmem_read_long
_dmem_read_long:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_drl,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _dmem_write_byte
_dmem_write_byte:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_dwb,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _dmem_write_word
_dmem_write_word:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_dww,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
global _dmem_write_long
_dmem_write_long:
mov.l %d0,-(%sp)
mov.l (_060FPSP_TABLE-0x80+_off_dwl,%pc),%d0
pea.l (_060FPSP_TABLE-0x80,%pc,%d0)
mov.l 0x4(%sp),%d0
rtd &0x4
#
# This file contains a set of define statements for constants
# in order to promote readability within the corecode itself.
#
set LOCAL_SIZE, 192 # stack frame size(bytes)
set LV, -LOCAL_SIZE # stack offset
set EXC_SR, 0x4 # stack status register
set EXC_PC, 0x6 # stack pc
set EXC_VOFF, 0xa # stacked vector offset
set EXC_EA, 0xc # stacked <ea>
set EXC_FP, 0x0 # frame pointer
set EXC_AREGS, -68 # offset of all address regs
set EXC_DREGS, -100 # offset of all data regs
set EXC_FPREGS, -36 # offset of all fp regs
set EXC_A7, EXC_AREGS+(7*4) # offset of saved a7
set OLD_A7, EXC_AREGS+(6*4) # extra copy of saved a7
set EXC_A6, EXC_AREGS+(6*4) # offset of saved a6
set EXC_A5, EXC_AREGS+(5*4)
set EXC_A4, EXC_AREGS+(4*4)
set EXC_A3, EXC_AREGS+(3*4)
set EXC_A2, EXC_AREGS+(2*4)
set EXC_A1, EXC_AREGS+(1*4)
set EXC_A0, EXC_AREGS+(0*4)
set EXC_D7, EXC_DREGS+(7*4)
set EXC_D6, EXC_DREGS+(6*4)
set EXC_D5, EXC_DREGS+(5*4)
set EXC_D4, EXC_DREGS+(4*4)
set EXC_D3, EXC_DREGS+(3*4)
set EXC_D2, EXC_DREGS+(2*4)
set EXC_D1, EXC_DREGS+(1*4)
set EXC_D0, EXC_DREGS+(0*4)
set EXC_FP0, EXC_FPREGS+(0*12) # offset of saved fp0
set EXC_FP1, EXC_FPREGS+(1*12) # offset of saved fp1
set EXC_FP2, EXC_FPREGS+(2*12) # offset of saved fp2 (not used)
set FP_SCR1, LV+80 # fp scratch 1
set FP_SCR1_EX, FP_SCR1+0
set FP_SCR1_SGN, FP_SCR1+2
set FP_SCR1_HI, FP_SCR1+4
set FP_SCR1_LO, FP_SCR1+8
set FP_SCR0, LV+68 # fp scratch 0
set FP_SCR0_EX, FP_SCR0+0
set FP_SCR0_SGN, FP_SCR0+2
set FP_SCR0_HI, FP_SCR0+4
set FP_SCR0_LO, FP_SCR0+8
set FP_DST, LV+56 # fp destination operand
set FP_DST_EX, FP_DST+0
set FP_DST_SGN, FP_DST+2
set FP_DST_HI, FP_DST+4
set FP_DST_LO, FP_DST+8
set FP_SRC, LV+44 # fp source operand
set FP_SRC_EX, FP_SRC+0
set FP_SRC_SGN, FP_SRC+2
set FP_SRC_HI, FP_SRC+4
set FP_SRC_LO, FP_SRC+8
set USER_FPIAR, LV+40 # FP instr address register
set USER_FPSR, LV+36 # FP status register
set FPSR_CC, USER_FPSR+0 # FPSR condition codes
set FPSR_QBYTE, USER_FPSR+1 # FPSR qoutient byte
set FPSR_EXCEPT, USER_FPSR+2 # FPSR exception status byte
set FPSR_AEXCEPT, USER_FPSR+3 # FPSR accrued exception byte
set USER_FPCR, LV+32 # FP control register
set FPCR_ENABLE, USER_FPCR+2 # FPCR exception enable
set FPCR_MODE, USER_FPCR+3 # FPCR rounding mode control
set L_SCR3, LV+28 # integer scratch 3
set L_SCR2, LV+24 # integer scratch 2
set L_SCR1, LV+20 # integer scratch 1
set STORE_FLG, LV+19 # flag: operand store (ie. not fcmp/ftst)
set EXC_TEMP2, LV+24 # temporary space
set EXC_TEMP, LV+16 # temporary space
set DTAG, LV+15 # destination operand type
set STAG, LV+14 # source operand type
set SPCOND_FLG, LV+10 # flag: special case (see below)
set EXC_CC, LV+8 # saved condition codes
set EXC_EXTWPTR, LV+4 # saved current PC (active)
set EXC_EXTWORD, LV+2 # saved extension word
set EXC_CMDREG, LV+2 # saved extension word
set EXC_OPWORD, LV+0 # saved operation word
################################
# Helpful macros
set FTEMP, 0 # offsets within an
set FTEMP_EX, 0 # extended precision
set FTEMP_SGN, 2 # value saved in memory.
set FTEMP_HI, 4
set FTEMP_LO, 8
set FTEMP_GRS, 12
set LOCAL, 0 # offsets within an
set LOCAL_EX, 0 # extended precision
set LOCAL_SGN, 2 # value saved in memory.
set LOCAL_HI, 4
set LOCAL_LO, 8
set LOCAL_GRS, 12
set DST, 0 # offsets within an
set DST_EX, 0 # extended precision
set DST_HI, 4 # value saved in memory.
set DST_LO, 8
set SRC, 0 # offsets within an
set SRC_EX, 0 # extended precision
set SRC_HI, 4 # value saved in memory.
set SRC_LO, 8
set SGL_LO, 0x3f81 # min sgl prec exponent
set SGL_HI, 0x407e # max sgl prec exponent
set DBL_LO, 0x3c01 # min dbl prec exponent
set DBL_HI, 0x43fe # max dbl prec exponent
set EXT_LO, 0x0 # min ext prec exponent
set EXT_HI, 0x7ffe # max ext prec exponent
set EXT_BIAS, 0x3fff # extended precision bias
set SGL_BIAS, 0x007f # single precision bias
set DBL_BIAS, 0x03ff # double precision bias
set NORM, 0x00 # operand type for STAG/DTAG
set ZERO, 0x01 # operand type for STAG/DTAG
set INF, 0x02 # operand type for STAG/DTAG
set QNAN, 0x03 # operand type for STAG/DTAG
set DENORM, 0x04 # operand type for STAG/DTAG
set SNAN, 0x05 # operand type for STAG/DTAG
set UNNORM, 0x06 # operand type for STAG/DTAG
##################
# FPSR/FPCR bits #
##################
set neg_bit, 0x3 # negative result
set z_bit, 0x2 # zero result
set inf_bit, 0x1 # infinite result
set nan_bit, 0x0 # NAN result
set q_sn_bit, 0x7 # sign bit of quotient byte
set bsun_bit, 7 # branch on unordered
set snan_bit, 6 # signalling NAN
set operr_bit, 5 # operand error
set ovfl_bit, 4 # overflow
set unfl_bit, 3 # underflow
set dz_bit, 2 # divide by zero
set inex2_bit, 1 # inexact result 2
set inex1_bit, 0 # inexact result 1
set aiop_bit, 7 # accrued inexact operation bit
set aovfl_bit, 6 # accrued overflow bit
set aunfl_bit, 5 # accrued underflow bit
set adz_bit, 4 # accrued dz bit
set ainex_bit, 3 # accrued inexact bit
#############################
# FPSR individual bit masks #
#############################
set neg_mask, 0x08000000 # negative bit mask (lw)
set inf_mask, 0x02000000 # infinity bit mask (lw)
set z_mask, 0x04000000 # zero bit mask (lw)
set nan_mask, 0x01000000 # nan bit mask (lw)
set neg_bmask, 0x08 # negative bit mask (byte)
set inf_bmask, 0x02 # infinity bit mask (byte)
set z_bmask, 0x04 # zero bit mask (byte)
set nan_bmask, 0x01 # nan bit mask (byte)
set bsun_mask, 0x00008000 # bsun exception mask
set snan_mask, 0x00004000 # snan exception mask
set operr_mask, 0x00002000 # operr exception mask
set ovfl_mask, 0x00001000 # overflow exception mask
set unfl_mask, 0x00000800 # underflow exception mask
set dz_mask, 0x00000400 # dz exception mask
set inex2_mask, 0x00000200 # inex2 exception mask
set inex1_mask, 0x00000100 # inex1 exception mask
set aiop_mask, 0x00000080 # accrued illegal operation
set aovfl_mask, 0x00000040 # accrued overflow
set aunfl_mask, 0x00000020 # accrued underflow
set adz_mask, 0x00000010 # accrued divide by zero
set ainex_mask, 0x00000008 # accrued inexact
######################################
# FPSR combinations used in the FPSP #
######################################
set dzinf_mask, inf_mask+dz_mask+adz_mask
set opnan_mask, nan_mask+operr_mask+aiop_mask
set nzi_mask, 0x01ffffff #clears N, Z, and I
set unfinx_mask, unfl_mask+inex2_mask+aunfl_mask+ainex_mask
set unf2inx_mask, unfl_mask+inex2_mask+ainex_mask
set ovfinx_mask, ovfl_mask+inex2_mask+aovfl_mask+ainex_mask
set inx1a_mask, inex1_mask+ainex_mask
set inx2a_mask, inex2_mask+ainex_mask
set snaniop_mask, nan_mask+snan_mask+aiop_mask
set snaniop2_mask, snan_mask+aiop_mask
set naniop_mask, nan_mask+aiop_mask
set neginf_mask, neg_mask+inf_mask
set infaiop_mask, inf_mask+aiop_mask
set negz_mask, neg_mask+z_mask
set opaop_mask, operr_mask+aiop_mask
set unfl_inx_mask, unfl_mask+aunfl_mask+ainex_mask
set ovfl_inx_mask, ovfl_mask+aovfl_mask+ainex_mask
#########
# misc. #
#########
set rnd_stky_bit, 29 # stky bit pos in longword
set sign_bit, 0x7 # sign bit
set signan_bit, 0x6 # signalling nan bit
set sgl_thresh, 0x3f81 # minimum sgl exponent
set dbl_thresh, 0x3c01 # minimum dbl exponent
set x_mode, 0x0 # extended precision
set s_mode, 0x4 # single precision
set d_mode, 0x8 # double precision
set rn_mode, 0x0 # round-to-nearest
set rz_mode, 0x1 # round-to-zero
set rm_mode, 0x2 # round-tp-minus-infinity
set rp_mode, 0x3 # round-to-plus-infinity
set mantissalen, 64 # length of mantissa in bits
set BYTE, 1 # len(byte) == 1 byte
set WORD, 2 # len(word) == 2 bytes
set LONG, 4 # len(longword) == 2 bytes
set BSUN_VEC, 0xc0 # bsun vector offset
set INEX_VEC, 0xc4 # inexact vector offset
set DZ_VEC, 0xc8 # dz vector offset
set UNFL_VEC, 0xcc # unfl vector offset
set OPERR_VEC, 0xd0 # operr vector offset
set OVFL_VEC, 0xd4 # ovfl vector offset
set SNAN_VEC, 0xd8 # snan vector offset
###########################
# SPecial CONDition FLaGs #
###########################
set ftrapcc_flg, 0x01 # flag bit: ftrapcc exception
set fbsun_flg, 0x02 # flag bit: bsun exception
set mia7_flg, 0x04 # flag bit: (a7)+ <ea>
set mda7_flg, 0x08 # flag bit: -(a7) <ea>
set fmovm_flg, 0x40 # flag bit: fmovm instruction
set immed_flg, 0x80 # flag bit: &<data> <ea>
set ftrapcc_bit, 0x0
set fbsun_bit, 0x1
set mia7_bit, 0x2
set mda7_bit, 0x3
set immed_bit, 0x7
##################################
# TRANSCENDENTAL "LAST-OP" FLAGS #
##################################
set FMUL_OP, 0x0 # fmul instr performed last
set FDIV_OP, 0x1 # fdiv performed last
set FADD_OP, 0x2 # fadd performed last
set FMOV_OP, 0x3 # fmov performed last
#############
# CONSTANTS #
#############
T1: long 0x40C62D38,0xD3D64634 # 16381 LOG2 LEAD
T2: long 0x3D6F90AE,0xB1E75CC7 # 16381 LOG2 TRAIL
PI: long 0x40000000,0xC90FDAA2,0x2168C235,0x00000000
PIBY2: long 0x3FFF0000,0xC90FDAA2,0x2168C235,0x00000000
TWOBYPI:
long 0x3FE45F30,0x6DC9C883
#########################################################################
# XDEF **************************************************************** #
# _fpsp_ovfl(): 060FPSP entry point for FP Overflow exception. #
# #
# This handler should be the first code executed upon taking the #
# FP Overflow exception in an operating system. #
# #
# XREF **************************************************************** #
# _imem_read_long() - read instruction longword #
# fix_skewed_ops() - adjust src operand in fsave frame #
# set_tag_x() - determine optype of src/dst operands #
# store_fpreg() - store opclass 0 or 2 result to FP regfile #
# unnorm_fix() - change UNNORM operands to NORM or ZERO #
# load_fpn2() - load dst operand from FP regfile #
# fout() - emulate an opclass 3 instruction #
# tbl_unsupp - add of table of emulation routines for opclass 0,2 #
# _fpsp_done() - "callout" for 060FPSP exit (all work done!) #
# _real_ovfl() - "callout" for Overflow exception enabled code #
# _real_inex() - "callout" for Inexact exception enabled code #
# _real_trace() - "callout" for Trace exception code #
# #
# INPUT *************************************************************** #
# - The system stack contains the FP Ovfl exception stack frame #
# - The fsave frame contains the source operand #
# #
# OUTPUT ************************************************************** #
# Overflow Exception enabled: #
# - The system stack is unchanged #
# - The fsave frame contains the adjusted src op for opclass 0,2 #
# Overflow Exception disabled: #
# - The system stack is unchanged #
# - The "exception present" flag in the fsave frame is cleared #
# #
# ALGORITHM *********************************************************** #
# On the 060, if an FP overflow is present as the result of any #
# instruction, the 060 will take an overflow exception whether the #
# exception is enabled or disabled in the FPCR. For the disabled case, #
# This handler emulates the instruction to determine what the correct #
# default result should be for the operation. This default result is #
# then stored in either the FP regfile, data regfile, or memory. #
# Finally, the handler exits through the "callout" _fpsp_done() #
# denoting that no exceptional conditions exist within the machine. #
# If the exception is enabled, then this handler must create the #
# exceptional operand and plave it in the fsave state frame, and store #
# the default result (only if the instruction is opclass 3). For #
# exceptions enabled, this handler must exit through the "callout" #
# _real_ovfl() so that the operating system enabled overflow handler #
# can handle this case. #
# Two other conditions exist. First, if overflow was disabled #
# but the inexact exception was enabled, this handler must exit #
# through the "callout" _real_inex() regardless of whether the result #
# was inexact. #
# Also, in the case of an opclass three instruction where #
# overflow was disabled and the trace exception was enabled, this #
# handler must exit through the "callout" _real_trace(). #
# #
#########################################################################
global _fpsp_ovfl
_fpsp_ovfl:
#$# sub.l &24,%sp # make room for src/dst
link.w %a6,&-LOCAL_SIZE # init stack frame
fsave FP_SRC(%a6) # grab the "busy" frame
movm.l &0x0303,EXC_DREGS(%a6) # save d0-d1/a0-a1
fmovm.l %fpcr,%fpsr,%fpiar,USER_FPCR(%a6) # save ctrl regs
fmovm.x &0xc0,EXC_FPREGS(%a6) # save fp0-fp1 on stack
# the FPIAR holds the "current PC" of the faulting instruction
mov.l USER_FPIAR(%a6),EXC_EXTWPTR(%a6)
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch the instruction words
mov.l %d0,EXC_OPWORD(%a6)
##############################################################################
btst &0x5,EXC_CMDREG(%a6) # is instr an fmove out?
bne.w fovfl_out
lea FP_SRC(%a6),%a0 # pass: ptr to src op
bsr.l fix_skewed_ops # fix src op
# since, I believe, only NORMs and DENORMs can come through here,
# maybe we can avoid the subroutine call.
lea FP_SRC(%a6),%a0 # pass: ptr to src op
bsr.l set_tag_x # tag the operand type
mov.b %d0,STAG(%a6) # maybe NORM,DENORM
# bit five of the fp extension word separates the monadic and dyadic operations
# that can pass through fpsp_ovfl(). remember that fcmp, ftst, and fsincos
# will never take this exception.
btst &0x5,1+EXC_CMDREG(%a6) # is operation monadic or dyadic?
beq.b fovfl_extract # monadic
bfextu EXC_CMDREG(%a6){&6:&3},%d0 # dyadic; load dst reg
bsr.l load_fpn2 # load dst into FP_DST
lea FP_DST(%a6),%a0 # pass: ptr to dst op
bsr.l set_tag_x # tag the operand type
cmpi.b %d0,&UNNORM # is operand an UNNORM?
bne.b fovfl_op2_done # no
bsr.l unnorm_fix # yes; convert to NORM,DENORM,or ZERO
fovfl_op2_done:
mov.b %d0,DTAG(%a6) # save dst optype tag
fovfl_extract:
#$# mov.l FP_SRC_EX(%a6),TRAP_SRCOP_EX(%a6)
#$# mov.l FP_SRC_HI(%a6),TRAP_SRCOP_HI(%a6)
#$# mov.l FP_SRC_LO(%a6),TRAP_SRCOP_LO(%a6)
#$# mov.l FP_DST_EX(%a6),TRAP_DSTOP_EX(%a6)
#$# mov.l FP_DST_HI(%a6),TRAP_DSTOP_HI(%a6)
#$# mov.l FP_DST_LO(%a6),TRAP_DSTOP_LO(%a6)
clr.l %d0
mov.b FPCR_MODE(%a6),%d0 # pass rnd prec/mode
mov.b 1+EXC_CMDREG(%a6),%d1
andi.w &0x007f,%d1 # extract extension
andi.l &0x00ff01ff,USER_FPSR(%a6) # zero all but accured field
fmov.l &0x0,%fpcr # zero current control regs
fmov.l &0x0,%fpsr
lea FP_SRC(%a6),%a0
lea FP_DST(%a6),%a1
# maybe we can make these entry points ONLY the OVFL entry points of each routine.
mov.l (tbl_unsupp.l,%pc,%d1.w*4),%d1 # fetch routine addr
jsr (tbl_unsupp.l,%pc,%d1.l*1)
# the operation has been emulated. the result is in fp0.
# the EXOP, if an exception occurred, is in fp1.
# we must save the default result regardless of whether
# traps are enabled or disabled.
bfextu EXC_CMDREG(%a6){&6:&3},%d0
bsr.l store_fpreg
# the exceptional possibilities we have left ourselves with are ONLY overflow
# and inexact. and, the inexact is such that overflow occurred and was disabled
# but inexact was enabled.
btst &ovfl_bit,FPCR_ENABLE(%a6)
bne.b fovfl_ovfl_on
btst &inex2_bit,FPCR_ENABLE(%a6)
bne.b fovfl_inex_on
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
#$# add.l &24,%sp
bra.l _fpsp_done
# overflow is enabled AND overflow, of course, occurred. so, we have the EXOP
# in fp1. now, simply jump to _real_ovfl()!
fovfl_ovfl_on:
fmovm.x &0x40,FP_SRC(%a6) # save EXOP (fp1) to stack
mov.w &0xe005,2+FP_SRC(%a6) # save exc status
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6) # do this after fmovm,other f<op>s!
unlk %a6
bra.l _real_ovfl
# overflow occurred but is disabled. meanwhile, inexact is enabled. Therefore,
# we must jump to real_inex().
fovfl_inex_on:
fmovm.x &0x40,FP_SRC(%a6) # save EXOP (fp1) to stack
mov.b &0xc4,1+EXC_VOFF(%a6) # vector offset = 0xc4
mov.w &0xe001,2+FP_SRC(%a6) # save exc status
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6) # do this after fmovm,other f<op>s!
unlk %a6
bra.l _real_inex
########################################################################
fovfl_out:
#$# mov.l FP_SRC_EX(%a6),TRAP_SRCOP_EX(%a6)
#$# mov.l FP_SRC_HI(%a6),TRAP_SRCOP_HI(%a6)
#$# mov.l FP_SRC_LO(%a6),TRAP_SRCOP_LO(%a6)
# the src operand is definitely a NORM(!), so tag it as such
mov.b &NORM,STAG(%a6) # set src optype tag
clr.l %d0
mov.b FPCR_MODE(%a6),%d0 # pass rnd prec/mode
and.l &0xffff00ff,USER_FPSR(%a6) # zero all but accured field
fmov.l &0x0,%fpcr # zero current control regs
fmov.l &0x0,%fpsr
lea FP_SRC(%a6),%a0 # pass ptr to src operand
bsr.l fout
btst &ovfl_bit,FPCR_ENABLE(%a6)
bne.w fovfl_ovfl_on
btst &inex2_bit,FPCR_ENABLE(%a6)
bne.w fovfl_inex_on
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
#$# add.l &24,%sp
btst &0x7,(%sp) # is trace on?
beq.l _fpsp_done # no
fmov.l %fpiar,0x8(%sp) # "Current PC" is in FPIAR
mov.w &0x2024,0x6(%sp) # stk fmt = 0x2; voff = 0x024
bra.l _real_trace
#########################################################################
# XDEF **************************************************************** #
# _fpsp_unfl(): 060FPSP entry point for FP Underflow exception. #
# #
# This handler should be the first code executed upon taking the #
# FP Underflow exception in an operating system. #
# #
# XREF **************************************************************** #
# _imem_read_long() - read instruction longword #
# fix_skewed_ops() - adjust src operand in fsave frame #
# set_tag_x() - determine optype of src/dst operands #
# store_fpreg() - store opclass 0 or 2 result to FP regfile #
# unnorm_fix() - change UNNORM operands to NORM or ZERO #
# load_fpn2() - load dst operand from FP regfile #
# fout() - emulate an opclass 3 instruction #
# tbl_unsupp - add of table of emulation routines for opclass 0,2 #
# _fpsp_done() - "callout" for 060FPSP exit (all work done!) #
# _real_ovfl() - "callout" for Overflow exception enabled code #
# _real_inex() - "callout" for Inexact exception enabled code #
# _real_trace() - "callout" for Trace exception code #
# #
# INPUT *************************************************************** #
# - The system stack contains the FP Unfl exception stack frame #
# - The fsave frame contains the source operand #
# #
# OUTPUT ************************************************************** #
# Underflow Exception enabled: #
# - The system stack is unchanged #
# - The fsave frame contains the adjusted src op for opclass 0,2 #
# Underflow Exception disabled: #
# - The system stack is unchanged #
# - The "exception present" flag in the fsave frame is cleared #
# #
# ALGORITHM *********************************************************** #
# On the 060, if an FP underflow is present as the result of any #
# instruction, the 060 will take an underflow exception whether the #
# exception is enabled or disabled in the FPCR. For the disabled case, #
# This handler emulates the instruction to determine what the correct #
# default result should be for the operation. This default result is #
# then stored in either the FP regfile, data regfile, or memory. #
# Finally, the handler exits through the "callout" _fpsp_done() #
# denoting that no exceptional conditions exist within the machine. #
# If the exception is enabled, then this handler must create the #
# exceptional operand and plave it in the fsave state frame, and store #
# the default result (only if the instruction is opclass 3). For #
# exceptions enabled, this handler must exit through the "callout" #
# _real_unfl() so that the operating system enabled overflow handler #
# can handle this case. #
# Two other conditions exist. First, if underflow was disabled #
# but the inexact exception was enabled and the result was inexact, #
# this handler must exit through the "callout" _real_inex(). #
# was inexact. #
# Also, in the case of an opclass three instruction where #
# underflow was disabled and the trace exception was enabled, this #
# handler must exit through the "callout" _real_trace(). #
# #
#########################################################################
global _fpsp_unfl
_fpsp_unfl:
#$# sub.l &24,%sp # make room for src/dst
link.w %a6,&-LOCAL_SIZE # init stack frame
fsave FP_SRC(%a6) # grab the "busy" frame
movm.l &0x0303,EXC_DREGS(%a6) # save d0-d1/a0-a1
fmovm.l %fpcr,%fpsr,%fpiar,USER_FPCR(%a6) # save ctrl regs
fmovm.x &0xc0,EXC_FPREGS(%a6) # save fp0-fp1 on stack
# the FPIAR holds the "current PC" of the faulting instruction
mov.l USER_FPIAR(%a6),EXC_EXTWPTR(%a6)
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch the instruction words
mov.l %d0,EXC_OPWORD(%a6)
##############################################################################
btst &0x5,EXC_CMDREG(%a6) # is instr an fmove out?
bne.w funfl_out
lea FP_SRC(%a6),%a0 # pass: ptr to src op
bsr.l fix_skewed_ops # fix src op
lea FP_SRC(%a6),%a0 # pass: ptr to src op
bsr.l set_tag_x # tag the operand type
mov.b %d0,STAG(%a6) # maybe NORM,DENORM
# bit five of the fp ext word separates the monadic and dyadic operations
# that can pass through fpsp_unfl(). remember that fcmp, and ftst
# will never take this exception.
btst &0x5,1+EXC_CMDREG(%a6) # is op monadic or dyadic?
beq.b funfl_extract # monadic
# now, what's left that's not dyadic is fsincos. we can distinguish it
# from all dyadics by the '0110xxx pattern
btst &0x4,1+EXC_CMDREG(%a6) # is op an fsincos?
bne.b funfl_extract # yes
bfextu EXC_CMDREG(%a6){&6:&3},%d0 # dyadic; load dst reg
bsr.l load_fpn2 # load dst into FP_DST
lea FP_DST(%a6),%a0 # pass: ptr to dst op
bsr.l set_tag_x # tag the operand type
cmpi.b %d0,&UNNORM # is operand an UNNORM?
bne.b funfl_op2_done # no
bsr.l unnorm_fix # yes; convert to NORM,DENORM,or ZERO
funfl_op2_done:
mov.b %d0,DTAG(%a6) # save dst optype tag
funfl_extract:
#$# mov.l FP_SRC_EX(%a6),TRAP_SRCOP_EX(%a6)
#$# mov.l FP_SRC_HI(%a6),TRAP_SRCOP_HI(%a6)
#$# mov.l FP_SRC_LO(%a6),TRAP_SRCOP_LO(%a6)
#$# mov.l FP_DST_EX(%a6),TRAP_DSTOP_EX(%a6)
#$# mov.l FP_DST_HI(%a6),TRAP_DSTOP_HI(%a6)
#$# mov.l FP_DST_LO(%a6),TRAP_DSTOP_LO(%a6)
clr.l %d0
mov.b FPCR_MODE(%a6),%d0 # pass rnd prec/mode
mov.b 1+EXC_CMDREG(%a6),%d1
andi.w &0x007f,%d1 # extract extension
andi.l &0x00ff01ff,USER_FPSR(%a6)
fmov.l &0x0,%fpcr # zero current control regs
fmov.l &0x0,%fpsr
lea FP_SRC(%a6),%a0
lea FP_DST(%a6),%a1
# maybe we can make these entry points ONLY the OVFL entry points of each routine.
mov.l (tbl_unsupp.l,%pc,%d1.w*4),%d1 # fetch routine addr
jsr (tbl_unsupp.l,%pc,%d1.l*1)
bfextu EXC_CMDREG(%a6){&6:&3},%d0
bsr.l store_fpreg
# The `060 FPU multiplier hardware is such that if the result of a
# multiply operation is the smallest possible normalized number
# (0x00000000_80000000_00000000), then the machine will take an
# underflow exception. Since this is incorrect, we need to check
# if our emulation, after re-doing the operation, decided that
# no underflow was called for. We do these checks only in
# funfl_{unfl,inex}_on() because w/ both exceptions disabled, this
# special case will simply exit gracefully with the correct result.
# the exceptional possibilities we have left ourselves with are ONLY overflow
# and inexact. and, the inexact is such that overflow occurred and was disabled
# but inexact was enabled.
btst &unfl_bit,FPCR_ENABLE(%a6)
bne.b funfl_unfl_on
funfl_chkinex:
btst &inex2_bit,FPCR_ENABLE(%a6)
bne.b funfl_inex_on
funfl_exit:
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
#$# add.l &24,%sp
bra.l _fpsp_done
# overflow is enabled AND overflow, of course, occurred. so, we have the EXOP
# in fp1 (don't forget to save fp0). what to do now?
# well, we simply have to get to go to _real_unfl()!
funfl_unfl_on:
# The `060 FPU multiplier hardware is such that if the result of a
# multiply operation is the smallest possible normalized number
# (0x00000000_80000000_00000000), then the machine will take an
# underflow exception. Since this is incorrect, we check here to see
# if our emulation, after re-doing the operation, decided that
# no underflow was called for.
btst &unfl_bit,FPSR_EXCEPT(%a6)
beq.w funfl_chkinex
funfl_unfl_on2:
fmovm.x &0x40,FP_SRC(%a6) # save EXOP (fp1) to stack
mov.w &0xe003,2+FP_SRC(%a6) # save exc status
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6) # do this after fmovm,other f<op>s!
unlk %a6
bra.l _real_unfl
# underflow occurred but is disabled. meanwhile, inexact is enabled. Therefore,
# we must jump to real_inex().
funfl_inex_on:
# The `060 FPU multiplier hardware is such that if the result of a
# multiply operation is the smallest possible normalized number
# (0x00000000_80000000_00000000), then the machine will take an
# underflow exception.
# But, whether bogus or not, if inexact is enabled AND it occurred,
# then we have to branch to real_inex.
btst &inex2_bit,FPSR_EXCEPT(%a6)
beq.w funfl_exit
funfl_inex_on2:
fmovm.x &0x40,FP_SRC(%a6) # save EXOP to stack
mov.b &0xc4,1+EXC_VOFF(%a6) # vector offset = 0xc4
mov.w &0xe001,2+FP_SRC(%a6) # save exc status
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6) # do this after fmovm,other f<op>s!
unlk %a6
bra.l _real_inex
#######################################################################
funfl_out:
#$# mov.l FP_SRC_EX(%a6),TRAP_SRCOP_EX(%a6)
#$# mov.l FP_SRC_HI(%a6),TRAP_SRCOP_HI(%a6)
#$# mov.l FP_SRC_LO(%a6),TRAP_SRCOP_LO(%a6)
# the src operand is definitely a NORM(!), so tag it as such
mov.b &NORM,STAG(%a6) # set src optype tag
clr.l %d0
mov.b FPCR_MODE(%a6),%d0 # pass rnd prec/mode
and.l &0xffff00ff,USER_FPSR(%a6) # zero all but accured field
fmov.l &0x0,%fpcr # zero current control regs
fmov.l &0x0,%fpsr
lea FP_SRC(%a6),%a0 # pass ptr to src operand
bsr.l fout
btst &unfl_bit,FPCR_ENABLE(%a6)
bne.w funfl_unfl_on2
btst &inex2_bit,FPCR_ENABLE(%a6)
bne.w funfl_inex_on2
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
#$# add.l &24,%sp
btst &0x7,(%sp) # is trace on?
beq.l _fpsp_done # no
fmov.l %fpiar,0x8(%sp) # "Current PC" is in FPIAR
mov.w &0x2024,0x6(%sp) # stk fmt = 0x2; voff = 0x024
bra.l _real_trace
#########################################################################
# XDEF **************************************************************** #
# _fpsp_unsupp(): 060FPSP entry point for FP "Unimplemented #
# Data Type" exception. #
# #
# This handler should be the first code executed upon taking the #
# FP Unimplemented Data Type exception in an operating system. #
# #
# XREF **************************************************************** #
# _imem_read_{word,long}() - read instruction word/longword #
# fix_skewed_ops() - adjust src operand in fsave frame #
# set_tag_x() - determine optype of src/dst operands #
# store_fpreg() - store opclass 0 or 2 result to FP regfile #
# unnorm_fix() - change UNNORM operands to NORM or ZERO #
# load_fpn2() - load dst operand from FP regfile #
# load_fpn1() - load src operand from FP regfile #
# fout() - emulate an opclass 3 instruction #
# tbl_unsupp - add of table of emulation routines for opclass 0,2 #
# _real_inex() - "callout" to operating system inexact handler #
# _fpsp_done() - "callout" for exit; work all done #
# _real_trace() - "callout" for Trace enabled exception #
# funimp_skew() - adjust fsave src ops to "incorrect" value #
# _real_snan() - "callout" for SNAN exception #
# _real_operr() - "callout" for OPERR exception #
# _real_ovfl() - "callout" for OVFL exception #
# _real_unfl() - "callout" for UNFL exception #
# get_packed() - fetch packed operand from memory #
# #
# INPUT *************************************************************** #
# - The system stack contains the "Unimp Data Type" stk frame #
# - The fsave frame contains the ssrc op (for UNNORM/DENORM) #
# #
# OUTPUT ************************************************************** #
# If Inexact exception (opclass 3): #
# - The system stack is changed to an Inexact exception stk frame #
# If SNAN exception (opclass 3): #
# - The system stack is changed to an SNAN exception stk frame #
# If OPERR exception (opclass 3): #
# - The system stack is changed to an OPERR exception stk frame #
# If OVFL exception (opclass 3): #
# - The system stack is changed to an OVFL exception stk frame #
# If UNFL exception (opclass 3): #
# - The system stack is changed to an UNFL exception stack frame #
# If Trace exception enabled: #
# - The system stack is changed to a Trace exception stack frame #
# Else: (normal case) #
# - Correct result has been stored as appropriate #
# #
# ALGORITHM *********************************************************** #
# Two main instruction types can enter here: (1) DENORM or UNNORM #
# unimplemented data types. These can be either opclass 0,2 or 3 #
# instructions, and (2) PACKED unimplemented data format instructions #
# also of opclasses 0,2, or 3. #
# For UNNORM/DENORM opclass 0 and 2, the handler fetches the src #
# operand from the fsave state frame and the dst operand (if dyadic) #
# from the FP register file. The instruction is then emulated by #
# choosing an emulation routine from a table of routines indexed by #
# instruction type. Once the instruction has been emulated and result #
# saved, then we check to see if any enabled exceptions resulted from #
# instruction emulation. If none, then we exit through the "callout" #
# _fpsp_done(). If there is an enabled FP exception, then we insert #
# this exception into the FPU in the fsave state frame and then exit #
# through _fpsp_done(). #
# PACKED opclass 0 and 2 is similar in how the instruction is #
# emulated and exceptions handled. The differences occur in how the #
# handler loads the packed op (by calling get_packed() routine) and #
# by the fact that a Trace exception could be pending for PACKED ops. #
# If a Trace exception is pending, then the current exception stack #
# frame is changed to a Trace exception stack frame and an exit is #
# made through _real_trace(). #
# For UNNORM/DENORM opclass 3, the actual move out to memory is #
# performed by calling the routine fout(). If no exception should occur #
# as the result of emulation, then an exit either occurs through #
# _fpsp_done() or through _real_trace() if a Trace exception is pending #
# (a Trace stack frame must be created here, too). If an FP exception #
# should occur, then we must create an exception stack frame of that #
# type and jump to either _real_snan(), _real_operr(), _real_inex(), #
# _real_unfl(), or _real_ovfl() as appropriate. PACKED opclass 3 #
# emulation is performed in a similar manner. #
# #
#########################################################################
#
# (1) DENORM and UNNORM (unimplemented) data types:
#
# post-instruction
# *****************
# * EA *
# pre-instruction * *
# ***************** *****************
# * 0x0 * 0x0dc * * 0x3 * 0x0dc *
# ***************** *****************
# * Next * * Next *
# * PC * * PC *
# ***************** *****************
# * SR * * SR *
# ***************** *****************
#
# (2) PACKED format (unsupported) opclasses two and three:
# *****************
# * EA *
# * *
# *****************
# * 0x2 * 0x0dc *
# *****************
# * Next *
# * PC *
# *****************
# * SR *
# *****************
#
global _fpsp_unsupp
_fpsp_unsupp:
link.w %a6,&-LOCAL_SIZE # init stack frame
fsave FP_SRC(%a6) # save fp state
movm.l &0x0303,EXC_DREGS(%a6) # save d0-d1/a0-a1
fmovm.l %fpcr,%fpsr,%fpiar,USER_FPCR(%a6) # save ctrl regs
fmovm.x &0xc0,EXC_FPREGS(%a6) # save fp0-fp1 on stack
btst &0x5,EXC_SR(%a6) # user or supervisor mode?
bne.b fu_s
fu_u:
mov.l %usp,%a0 # fetch user stack pointer
mov.l %a0,EXC_A7(%a6) # save on stack
bra.b fu_cont
# if the exception is an opclass zero or two unimplemented data type
# exception, then the a7' calculated here is wrong since it doesn't
# stack an ea. however, we don't need an a7' for this case anyways.
fu_s:
lea 0x4+EXC_EA(%a6),%a0 # load old a7'
mov.l %a0,EXC_A7(%a6) # save on stack
fu_cont:
# the FPIAR holds the "current PC" of the faulting instruction
# the FPIAR should be set correctly for ALL exceptions passing through
# this point.
mov.l USER_FPIAR(%a6),EXC_EXTWPTR(%a6)
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch the instruction words
mov.l %d0,EXC_OPWORD(%a6) # store OPWORD and EXTWORD
############################
clr.b SPCOND_FLG(%a6) # clear special condition flag
# Separate opclass three (fpn-to-mem) ops since they have a different
# stack frame and protocol.
btst &0x5,EXC_CMDREG(%a6) # is it an fmove out?
bne.w fu_out # yes
# Separate packed opclass two instructions.
bfextu EXC_CMDREG(%a6){&0:&6},%d0
cmpi.b %d0,&0x13
beq.w fu_in_pack
# I'm not sure at this point what FPSR bits are valid for this instruction.
# so, since the emulation routines re-create them anyways, zero exception field
andi.l &0x00ff00ff,USER_FPSR(%a6) # zero exception field
fmov.l &0x0,%fpcr # zero current control regs
fmov.l &0x0,%fpsr
# Opclass two w/ memory-to-fpn operation will have an incorrect extended
# precision format if the src format was single or double and the
# source data type was an INF, NAN, DENORM, or UNNORM
lea FP_SRC(%a6),%a0 # pass ptr to input
bsr.l fix_skewed_ops
# we don't know whether the src operand or the dst operand (or both) is the
# UNNORM or DENORM. call the function that tags the operand type. if the
# input is an UNNORM, then convert it to a NORM, DENORM, or ZERO.
lea FP_SRC(%a6),%a0 # pass: ptr to src op
bsr.l set_tag_x # tag the operand type
cmpi.b %d0,&UNNORM # is operand an UNNORM?
bne.b fu_op2 # no
bsr.l unnorm_fix # yes; convert to NORM,DENORM,or ZERO
fu_op2:
mov.b %d0,STAG(%a6) # save src optype tag
bfextu EXC_CMDREG(%a6){&6:&3},%d0 # dyadic; load dst reg
# bit five of the fp extension word separates the monadic and dyadic operations
# at this point
btst &0x5,1+EXC_CMDREG(%a6) # is operation monadic or dyadic?
beq.b fu_extract # monadic
cmpi.b 1+EXC_CMDREG(%a6),&0x3a # is operation an ftst?
beq.b fu_extract # yes, so it's monadic, too
bsr.l load_fpn2 # load dst into FP_DST
lea FP_DST(%a6),%a0 # pass: ptr to dst op
bsr.l set_tag_x # tag the operand type
cmpi.b %d0,&UNNORM # is operand an UNNORM?
bne.b fu_op2_done # no
bsr.l unnorm_fix # yes; convert to NORM,DENORM,or ZERO
fu_op2_done:
mov.b %d0,DTAG(%a6) # save dst optype tag
fu_extract:
clr.l %d0
mov.b FPCR_MODE(%a6),%d0 # fetch rnd mode/prec
bfextu 1+EXC_CMDREG(%a6){&1:&7},%d1 # extract extension
lea FP_SRC(%a6),%a0
lea FP_DST(%a6),%a1
mov.l (tbl_unsupp.l,%pc,%d1.l*4),%d1 # fetch routine addr
jsr (tbl_unsupp.l,%pc,%d1.l*1)
#
# Exceptions in order of precedence:
# BSUN : none
# SNAN : all dyadic ops
# OPERR : fsqrt(-NORM)
# OVFL : all except ftst,fcmp
# UNFL : all except ftst,fcmp
# DZ : fdiv
# INEX2 : all except ftst,fcmp
# INEX1 : none (packed doesn't go through here)
#
# we determine the highest priority exception(if any) set by the
# emulation routine that has also been enabled by the user.
mov.b FPCR_ENABLE(%a6),%d0 # fetch exceptions set
bne.b fu_in_ena # some are enabled
fu_in_cont:
# fcmp and ftst do not store any result.
mov.b 1+EXC_CMDREG(%a6),%d0 # fetch extension
andi.b &0x38,%d0 # extract bits 3-5
cmpi.b %d0,&0x38 # is instr fcmp or ftst?
beq.b fu_in_exit # yes
bfextu EXC_CMDREG(%a6){&6:&3},%d0 # dyadic; load dst reg
bsr.l store_fpreg # store the result
fu_in_exit:
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
bra.l _fpsp_done
fu_in_ena:
and.b FPSR_EXCEPT(%a6),%d0 # keep only ones enabled
bfffo %d0{&24:&8},%d0 # find highest priority exception
bne.b fu_in_exc # there is at least one set
#
# No exceptions occurred that were also enabled. Now:
#
# if (OVFL && ovfl_disabled && inexact_enabled) {
# branch to _real_inex() (even if the result was exact!);
# } else {
# save the result in the proper fp reg (unless the op is fcmp or ftst);
# return;
# }
#
btst &ovfl_bit,FPSR_EXCEPT(%a6) # was overflow set?
beq.b fu_in_cont # no
fu_in_ovflchk:
btst &inex2_bit,FPCR_ENABLE(%a6) # was inexact enabled?
beq.b fu_in_cont # no
bra.w fu_in_exc_ovfl # go insert overflow frame
#
# An exception occurred and that exception was enabled:
#
# shift enabled exception field into lo byte of d0;
# if (((INEX2 || INEX1) && inex_enabled && OVFL && ovfl_disabled) ||
# ((INEX2 || INEX1) && inex_enabled && UNFL && unfl_disabled)) {
# /*
# * this is the case where we must call _real_inex() now or else
# * there will be no other way to pass it the exceptional operand
# */
# call _real_inex();
# } else {
# restore exc state (SNAN||OPERR||OVFL||UNFL||DZ||INEX) into the FPU;
# }
#
fu_in_exc:
subi.l &24,%d0 # fix offset to be 0-8
cmpi.b %d0,&0x6 # is exception INEX? (6)
bne.b fu_in_exc_exit # no
# the enabled exception was inexact
btst &unfl_bit,FPSR_EXCEPT(%a6) # did disabled underflow occur?
bne.w fu_in_exc_unfl # yes
btst &ovfl_bit,FPSR_EXCEPT(%a6) # did disabled overflow occur?
bne.w fu_in_exc_ovfl # yes
# here, we insert the correct fsave status value into the fsave frame for the
# corresponding exception. the operand in the fsave frame should be the original
# src operand.
fu_in_exc_exit:
mov.l %d0,-(%sp) # save d0
bsr.l funimp_skew # skew sgl or dbl inputs
mov.l (%sp)+,%d0 # restore d0
mov.w (tbl_except.b,%pc,%d0.w*2),2+FP_SRC(%a6) # create exc status
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6) # restore src op
unlk %a6
bra.l _fpsp_done
tbl_except:
short 0xe000,0xe006,0xe004,0xe005
short 0xe003,0xe002,0xe001,0xe001
fu_in_exc_unfl:
mov.w &0x4,%d0
bra.b fu_in_exc_exit
fu_in_exc_ovfl:
mov.w &0x03,%d0
bra.b fu_in_exc_exit
# If the input operand to this operation was opclass two and a single
# or double precision denorm, inf, or nan, the operand needs to be
# "corrected" in order to have the proper equivalent extended precision
# number.
global fix_skewed_ops
fix_skewed_ops:
bfextu EXC_CMDREG(%a6){&0:&6},%d0 # extract opclass,src fmt
cmpi.b %d0,&0x11 # is class = 2 & fmt = sgl?
beq.b fso_sgl # yes
cmpi.b %d0,&0x15 # is class = 2 & fmt = dbl?
beq.b fso_dbl # yes
rts # no
fso_sgl:
mov.w LOCAL_EX(%a0),%d0 # fetch src exponent
andi.w &0x7fff,%d0 # strip sign
cmpi.w %d0,&0x3f80 # is |exp| == $3f80?
beq.b fso_sgl_dnrm_zero # yes
cmpi.w %d0,&0x407f # no; is |exp| == $407f?
beq.b fso_infnan # yes
rts # no
fso_sgl_dnrm_zero:
andi.l &0x7fffffff,LOCAL_HI(%a0) # clear j-bit
beq.b fso_zero # it's a skewed zero
fso_sgl_dnrm:
# here, we count on norm not to alter a0...
bsr.l norm # normalize mantissa
neg.w %d0 # -shft amt
addi.w &0x3f81,%d0 # adjust new exponent
andi.w &0x8000,LOCAL_EX(%a0) # clear old exponent
or.w %d0,LOCAL_EX(%a0) # insert new exponent
rts
fso_zero:
andi.w &0x8000,LOCAL_EX(%a0) # clear bogus exponent
rts
fso_infnan:
andi.b &0x7f,LOCAL_HI(%a0) # clear j-bit
ori.w &0x7fff,LOCAL_EX(%a0) # make exponent = $7fff
rts
fso_dbl:
mov.w LOCAL_EX(%a0),%d0 # fetch src exponent
andi.w &0x7fff,%d0 # strip sign
cmpi.w %d0,&0x3c00 # is |exp| == $3c00?
beq.b fso_dbl_dnrm_zero # yes
cmpi.w %d0,&0x43ff # no; is |exp| == $43ff?
beq.b fso_infnan # yes
rts # no
fso_dbl_dnrm_zero:
andi.l &0x7fffffff,LOCAL_HI(%a0) # clear j-bit
bne.b fso_dbl_dnrm # it's a skewed denorm
tst.l LOCAL_LO(%a0) # is it a zero?
beq.b fso_zero # yes
fso_dbl_dnrm:
# here, we count on norm not to alter a0...
bsr.l norm # normalize mantissa
neg.w %d0 # -shft amt
addi.w &0x3c01,%d0 # adjust new exponent
andi.w &0x8000,LOCAL_EX(%a0) # clear old exponent
or.w %d0,LOCAL_EX(%a0) # insert new exponent
rts
#################################################################
# fmove out took an unimplemented data type exception.
# the src operand is in FP_SRC. Call _fout() to write out the result and
# to determine which exceptions, if any, to take.
fu_out:
# Separate packed move outs from the UNNORM and DENORM move outs.
bfextu EXC_CMDREG(%a6){&3:&3},%d0
cmpi.b %d0,&0x3
beq.w fu_out_pack
cmpi.b %d0,&0x7
beq.w fu_out_pack
# I'm not sure at this point what FPSR bits are valid for this instruction.
# so, since the emulation routines re-create them anyways, zero exception field.
# fmove out doesn't affect ccodes.
and.l &0xffff00ff,USER_FPSR(%a6) # zero exception field
fmov.l &0x0,%fpcr # zero current control regs
fmov.l &0x0,%fpsr
# the src can ONLY be a DENORM or an UNNORM! so, don't make any big subroutine
# call here. just figure out what it is...
mov.w FP_SRC_EX(%a6),%d0 # get exponent
andi.w &0x7fff,%d0 # strip sign
beq.b fu_out_denorm # it's a DENORM
lea FP_SRC(%a6),%a0
bsr.l unnorm_fix # yes; fix it
mov.b %d0,STAG(%a6)
bra.b fu_out_cont
fu_out_denorm:
mov.b &DENORM,STAG(%a6)
fu_out_cont:
clr.l %d0
mov.b FPCR_MODE(%a6),%d0 # fetch rnd mode/prec
lea FP_SRC(%a6),%a0 # pass ptr to src operand
mov.l (%a6),EXC_A6(%a6) # in case a6 changes
bsr.l fout # call fmove out routine
# Exceptions in order of precedence:
# BSUN : none
# SNAN : none
# OPERR : fmove.{b,w,l} out of large UNNORM
# OVFL : fmove.{s,d}
# UNFL : fmove.{s,d,x}
# DZ : none
# INEX2 : all
# INEX1 : none (packed doesn't travel through here)
# determine the highest priority exception(if any) set by the
# emulation routine that has also been enabled by the user.
mov.b FPCR_ENABLE(%a6),%d0 # fetch exceptions enabled
bne.w fu_out_ena # some are enabled
fu_out_done:
mov.l EXC_A6(%a6),(%a6) # in case a6 changed
# on extended precision opclass three instructions using pre-decrement or
# post-increment addressing mode, the address register is not updated. is the
# address register was the stack pointer used from user mode, then let's update
# it here. if it was used from supervisor mode, then we have to handle this
# as a special case.
btst &0x5,EXC_SR(%a6)
bne.b fu_out_done_s
mov.l EXC_A7(%a6),%a0 # restore a7
mov.l %a0,%usp
fu_out_done_cont:
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
btst &0x7,(%sp) # is trace on?
bne.b fu_out_trace # yes
bra.l _fpsp_done
# is the ea mode pre-decrement of the stack pointer from supervisor mode?
# ("fmov.x fpm,-(a7)") if so,
fu_out_done_s:
cmpi.b SPCOND_FLG(%a6),&mda7_flg
bne.b fu_out_done_cont
# the extended precision result is still in fp0. but, we need to save it
# somewhere on the stack until we can copy it to its final resting place.
# here, we're counting on the top of the stack to be the old place-holders
# for fp0/fp1 which have already been restored. that way, we can write
# over those destinations with the shifted stack frame.
fmovm.x &0x80,FP_SRC(%a6) # put answer on stack
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
mov.l (%a6),%a6 # restore frame pointer
mov.l LOCAL_SIZE+EXC_SR(%sp),LOCAL_SIZE+EXC_SR-0xc(%sp)
mov.l LOCAL_SIZE+2+EXC_PC(%sp),LOCAL_SIZE+2+EXC_PC-0xc(%sp)
# now, copy the result to the proper place on the stack
mov.l LOCAL_SIZE+FP_SRC_EX(%sp),LOCAL_SIZE+EXC_SR+0x0(%sp)
mov.l LOCAL_SIZE+FP_SRC_HI(%sp),LOCAL_SIZE+EXC_SR+0x4(%sp)
mov.l LOCAL_SIZE+FP_SRC_LO(%sp),LOCAL_SIZE+EXC_SR+0x8(%sp)
add.l &LOCAL_SIZE-0x8,%sp
btst &0x7,(%sp)
bne.b fu_out_trace
bra.l _fpsp_done
fu_out_ena:
and.b FPSR_EXCEPT(%a6),%d0 # keep only ones enabled
bfffo %d0{&24:&8},%d0 # find highest priority exception
bne.b fu_out_exc # there is at least one set
# no exceptions were set.
# if a disabled overflow occurred and inexact was enabled but the result
# was exact, then a branch to _real_inex() is made.
btst &ovfl_bit,FPSR_EXCEPT(%a6) # was overflow set?
beq.w fu_out_done # no
fu_out_ovflchk:
btst &inex2_bit,FPCR_ENABLE(%a6) # was inexact enabled?
beq.w fu_out_done # no
bra.w fu_inex # yes
#
# The fp move out that took the "Unimplemented Data Type" exception was
# being traced. Since the stack frames are similar, get the "current" PC
# from FPIAR and put it in the trace stack frame then jump to _real_trace().
#
# UNSUPP FRAME TRACE FRAME
# ***************** *****************
# * EA * * Current *
# * * * PC *
# ***************** *****************
# * 0x3 * 0x0dc * * 0x2 * 0x024 *
# ***************** *****************
# * Next * * Next *
# * PC * * PC *
# ***************** *****************
# * SR * * SR *
# ***************** *****************
#
fu_out_trace:
mov.w &0x2024,0x6(%sp)
fmov.l %fpiar,0x8(%sp)
bra.l _real_trace
# an exception occurred and that exception was enabled.
fu_out_exc:
subi.l &24,%d0 # fix offset to be 0-8
# we don't mess with the existing fsave frame. just re-insert it and
# jump to the "_real_{}()" handler...
mov.w (tbl_fu_out.b,%pc,%d0.w*2),%d0
jmp (tbl_fu_out.b,%pc,%d0.w*1)
swbeg &0x8
tbl_fu_out:
short tbl_fu_out - tbl_fu_out # BSUN can't happen
short tbl_fu_out - tbl_fu_out # SNAN can't happen
short fu_operr - tbl_fu_out # OPERR
short fu_ovfl - tbl_fu_out # OVFL
short fu_unfl - tbl_fu_out # UNFL
short tbl_fu_out - tbl_fu_out # DZ can't happen
short fu_inex - tbl_fu_out # INEX2
short tbl_fu_out - tbl_fu_out # INEX1 won't make it here
# for snan,operr,ovfl,unfl, src op is still in FP_SRC so just
# frestore it.
fu_snan:
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
mov.w &0x30d8,EXC_VOFF(%a6) # vector offset = 0xd8
mov.w &0xe006,2+FP_SRC(%a6)
frestore FP_SRC(%a6)
unlk %a6
bra.l _real_snan
fu_operr:
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
mov.w &0x30d0,EXC_VOFF(%a6) # vector offset = 0xd0
mov.w &0xe004,2+FP_SRC(%a6)
frestore FP_SRC(%a6)
unlk %a6
bra.l _real_operr
fu_ovfl:
fmovm.x &0x40,FP_SRC(%a6) # save EXOP to the stack
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
mov.w &0x30d4,EXC_VOFF(%a6) # vector offset = 0xd4
mov.w &0xe005,2+FP_SRC(%a6)
frestore FP_SRC(%a6) # restore EXOP
unlk %a6
bra.l _real_ovfl
# underflow can happen for extended precision. extended precision opclass
# three instruction exceptions don't update the stack pointer. so, if the
# exception occurred from user mode, then simply update a7 and exit normally.
# if the exception occurred from supervisor mode, check if
fu_unfl:
mov.l EXC_A6(%a6),(%a6) # restore a6
btst &0x5,EXC_SR(%a6)
bne.w fu_unfl_s
mov.l EXC_A7(%a6),%a0 # restore a7 whether we need
mov.l %a0,%usp # to or not...
fu_unfl_cont:
fmovm.x &0x40,FP_SRC(%a6) # save EXOP to the stack
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
mov.w &0x30cc,EXC_VOFF(%a6) # vector offset = 0xcc
mov.w &0xe003,2+FP_SRC(%a6)
frestore FP_SRC(%a6) # restore EXOP
unlk %a6
bra.l _real_unfl
fu_unfl_s:
cmpi.b SPCOND_FLG(%a6),&mda7_flg # was the <ea> mode -(sp)?
bne.b fu_unfl_cont
# the extended precision result is still in fp0. but, we need to save it
# somewhere on the stack until we can copy it to its final resting place
# (where the exc frame is currently). make sure it's not at the top of the
# frame or it will get overwritten when the exc stack frame is shifted "down".
fmovm.x &0x80,FP_SRC(%a6) # put answer on stack
fmovm.x &0x40,FP_DST(%a6) # put EXOP on stack
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
mov.w &0x30cc,EXC_VOFF(%a6) # vector offset = 0xcc
mov.w &0xe003,2+FP_DST(%a6)
frestore FP_DST(%a6) # restore EXOP
mov.l (%a6),%a6 # restore frame pointer
mov.l LOCAL_SIZE+EXC_SR(%sp),LOCAL_SIZE+EXC_SR-0xc(%sp)
mov.l LOCAL_SIZE+2+EXC_PC(%sp),LOCAL_SIZE+2+EXC_PC-0xc(%sp)
mov.l LOCAL_SIZE+EXC_EA(%sp),LOCAL_SIZE+EXC_EA-0xc(%sp)
# now, copy the result to the proper place on the stack
mov.l LOCAL_SIZE+FP_SRC_EX(%sp),LOCAL_SIZE+EXC_SR+0x0(%sp)
mov.l LOCAL_SIZE+FP_SRC_HI(%sp),LOCAL_SIZE+EXC_SR+0x4(%sp)
mov.l LOCAL_SIZE+FP_SRC_LO(%sp),LOCAL_SIZE+EXC_SR+0x8(%sp)
add.l &LOCAL_SIZE-0x8,%sp
bra.l _real_unfl
# fmove in and out enter here.
fu_inex:
fmovm.x &0x40,FP_SRC(%a6) # save EXOP to the stack
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
mov.w &0x30c4,EXC_VOFF(%a6) # vector offset = 0xc4
mov.w &0xe001,2+FP_SRC(%a6)
frestore FP_SRC(%a6) # restore EXOP
unlk %a6
bra.l _real_inex
#########################################################################
#########################################################################
fu_in_pack:
# I'm not sure at this point what FPSR bits are valid for this instruction.
# so, since the emulation routines re-create them anyways, zero exception field
andi.l &0x0ff00ff,USER_FPSR(%a6) # zero exception field
fmov.l &0x0,%fpcr # zero current control regs
fmov.l &0x0,%fpsr
bsr.l get_packed # fetch packed src operand
lea FP_SRC(%a6),%a0 # pass ptr to src
bsr.l set_tag_x # set src optype tag
mov.b %d0,STAG(%a6) # save src optype tag
bfextu EXC_CMDREG(%a6){&6:&3},%d0 # dyadic; load dst reg
# bit five of the fp extension word separates the monadic and dyadic operations
# at this point
btst &0x5,1+EXC_CMDREG(%a6) # is operation monadic or dyadic?
beq.b fu_extract_p # monadic
cmpi.b 1+EXC_CMDREG(%a6),&0x3a # is operation an ftst?
beq.b fu_extract_p # yes, so it's monadic, too
bsr.l load_fpn2 # load dst into FP_DST
lea FP_DST(%a6),%a0 # pass: ptr to dst op
bsr.l set_tag_x # tag the operand type
cmpi.b %d0,&UNNORM # is operand an UNNORM?
bne.b fu_op2_done_p # no
bsr.l unnorm_fix # yes; convert to NORM,DENORM,or ZERO
fu_op2_done_p:
mov.b %d0,DTAG(%a6) # save dst optype tag
fu_extract_p:
clr.l %d0
mov.b FPCR_MODE(%a6),%d0 # fetch rnd mode/prec
bfextu 1+EXC_CMDREG(%a6){&1:&7},%d1 # extract extension
lea FP_SRC(%a6),%a0
lea FP_DST(%a6),%a1
mov.l (tbl_unsupp.l,%pc,%d1.l*4),%d1 # fetch routine addr
jsr (tbl_unsupp.l,%pc,%d1.l*1)
#
# Exceptions in order of precedence:
# BSUN : none
# SNAN : all dyadic ops
# OPERR : fsqrt(-NORM)
# OVFL : all except ftst,fcmp
# UNFL : all except ftst,fcmp
# DZ : fdiv
# INEX2 : all except ftst,fcmp
# INEX1 : all
#
# we determine the highest priority exception(if any) set by the
# emulation routine that has also been enabled by the user.
mov.b FPCR_ENABLE(%a6),%d0 # fetch exceptions enabled
bne.w fu_in_ena_p # some are enabled
fu_in_cont_p:
# fcmp and ftst do not store any result.
mov.b 1+EXC_CMDREG(%a6),%d0 # fetch extension
andi.b &0x38,%d0 # extract bits 3-5
cmpi.b %d0,&0x38 # is instr fcmp or ftst?
beq.b fu_in_exit_p # yes
bfextu EXC_CMDREG(%a6){&6:&3},%d0 # dyadic; load dst reg
bsr.l store_fpreg # store the result
fu_in_exit_p:
btst &0x5,EXC_SR(%a6) # user or supervisor?
bne.w fu_in_exit_s_p # supervisor
mov.l EXC_A7(%a6),%a0 # update user a7
mov.l %a0,%usp
fu_in_exit_cont_p:
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6 # unravel stack frame
btst &0x7,(%sp) # is trace on?
bne.w fu_trace_p # yes
bra.l _fpsp_done # exit to os
# the exception occurred in supervisor mode. check to see if the
# addressing mode was (a7)+. if so, we'll need to shift the
# stack frame "up".
fu_in_exit_s_p:
btst &mia7_bit,SPCOND_FLG(%a6) # was ea mode (a7)+
beq.b fu_in_exit_cont_p # no
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6 # unravel stack frame
# shift the stack frame "up". we don't really care about the <ea> field.
mov.l 0x4(%sp),0x10(%sp)
mov.l 0x0(%sp),0xc(%sp)
add.l &0xc,%sp
btst &0x7,(%sp) # is trace on?
bne.w fu_trace_p # yes
bra.l _fpsp_done # exit to os
fu_in_ena_p:
and.b FPSR_EXCEPT(%a6),%d0 # keep only ones enabled & set
bfffo %d0{&24:&8},%d0 # find highest priority exception
bne.b fu_in_exc_p # at least one was set
#
# No exceptions occurred that were also enabled. Now:
#
# if (OVFL && ovfl_disabled && inexact_enabled) {
# branch to _real_inex() (even if the result was exact!);
# } else {
# save the result in the proper fp reg (unless the op is fcmp or ftst);
# return;
# }
#
btst &ovfl_bit,FPSR_EXCEPT(%a6) # was overflow set?
beq.w fu_in_cont_p # no
fu_in_ovflchk_p:
btst &inex2_bit,FPCR_ENABLE(%a6) # was inexact enabled?
beq.w fu_in_cont_p # no
bra.w fu_in_exc_ovfl_p # do _real_inex() now
#
# An exception occurred and that exception was enabled:
#
# shift enabled exception field into lo byte of d0;
# if (((INEX2 || INEX1) && inex_enabled && OVFL && ovfl_disabled) ||
# ((INEX2 || INEX1) && inex_enabled && UNFL && unfl_disabled)) {
# /*
# * this is the case where we must call _real_inex() now or else
# * there will be no other way to pass it the exceptional operand
# */
# call _real_inex();
# } else {
# restore exc state (SNAN||OPERR||OVFL||UNFL||DZ||INEX) into the FPU;
# }
#
fu_in_exc_p:
subi.l &24,%d0 # fix offset to be 0-8
cmpi.b %d0,&0x6 # is exception INEX? (6 or 7)
blt.b fu_in_exc_exit_p # no
# the enabled exception was inexact
btst &unfl_bit,FPSR_EXCEPT(%a6) # did disabled underflow occur?
bne.w fu_in_exc_unfl_p # yes
btst &ovfl_bit,FPSR_EXCEPT(%a6) # did disabled overflow occur?
bne.w fu_in_exc_ovfl_p # yes
# here, we insert the correct fsave status value into the fsave frame for the
# corresponding exception. the operand in the fsave frame should be the original
# src operand.
# as a reminder for future predicted pain and agony, we are passing in fsave the
# "non-skewed" operand for cases of sgl and dbl src INFs,NANs, and DENORMs.
# this is INCORRECT for enabled SNAN which would give to the user the skewed SNAN!!!
fu_in_exc_exit_p:
btst &0x5,EXC_SR(%a6) # user or supervisor?
bne.w fu_in_exc_exit_s_p # supervisor
mov.l EXC_A7(%a6),%a0 # update user a7
mov.l %a0,%usp
fu_in_exc_exit_cont_p:
mov.w (tbl_except_p.b,%pc,%d0.w*2),2+FP_SRC(%a6)
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6) # restore src op
unlk %a6
btst &0x7,(%sp) # is trace enabled?
bne.w fu_trace_p # yes
bra.l _fpsp_done
tbl_except_p:
short 0xe000,0xe006,0xe004,0xe005
short 0xe003,0xe002,0xe001,0xe001
fu_in_exc_ovfl_p:
mov.w &0x3,%d0
bra.w fu_in_exc_exit_p
fu_in_exc_unfl_p:
mov.w &0x4,%d0
bra.w fu_in_exc_exit_p
fu_in_exc_exit_s_p:
btst &mia7_bit,SPCOND_FLG(%a6)
beq.b fu_in_exc_exit_cont_p
mov.w (tbl_except_p.b,%pc,%d0.w*2),2+FP_SRC(%a6)
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6) # restore src op
unlk %a6 # unravel stack frame
# shift stack frame "up". who cares about <ea> field.
mov.l 0x4(%sp),0x10(%sp)
mov.l 0x0(%sp),0xc(%sp)
add.l &0xc,%sp
btst &0x7,(%sp) # is trace on?
bne.b fu_trace_p # yes
bra.l _fpsp_done # exit to os
#
# The opclass two PACKED instruction that took an "Unimplemented Data Type"
# exception was being traced. Make the "current" PC the FPIAR and put it in the
# trace stack frame then jump to _real_trace().
#
# UNSUPP FRAME TRACE FRAME
# ***************** *****************
# * EA * * Current *
# * * * PC *
# ***************** *****************
# * 0x2 * 0x0dc * * 0x2 * 0x024 *
# ***************** *****************
# * Next * * Next *
# * PC * * PC *
# ***************** *****************
# * SR * * SR *
# ***************** *****************
fu_trace_p:
mov.w &0x2024,0x6(%sp)
fmov.l %fpiar,0x8(%sp)
bra.l _real_trace
#########################################################
#########################################################
fu_out_pack:
# I'm not sure at this point what FPSR bits are valid for this instruction.
# so, since the emulation routines re-create them anyways, zero exception field.
# fmove out doesn't affect ccodes.
and.l &0xffff00ff,USER_FPSR(%a6) # zero exception field
fmov.l &0x0,%fpcr # zero current control regs
fmov.l &0x0,%fpsr
bfextu EXC_CMDREG(%a6){&6:&3},%d0
bsr.l load_fpn1
# unlike other opclass 3, unimplemented data type exceptions, packed must be
# able to detect all operand types.
lea FP_SRC(%a6),%a0
bsr.l set_tag_x # tag the operand type
cmpi.b %d0,&UNNORM # is operand an UNNORM?
bne.b fu_op2_p # no
bsr.l unnorm_fix # yes; convert to NORM,DENORM,or ZERO
fu_op2_p:
mov.b %d0,STAG(%a6) # save src optype tag
clr.l %d0
mov.b FPCR_MODE(%a6),%d0 # fetch rnd mode/prec
lea FP_SRC(%a6),%a0 # pass ptr to src operand
mov.l (%a6),EXC_A6(%a6) # in case a6 changes
bsr.l fout # call fmove out routine
# Exceptions in order of precedence:
# BSUN : no
# SNAN : yes
# OPERR : if ((k_factor > +17) || (dec. exp exceeds 3 digits))
# OVFL : no
# UNFL : no
# DZ : no
# INEX2 : yes
# INEX1 : no
# determine the highest priority exception(if any) set by the
# emulation routine that has also been enabled by the user.
mov.b FPCR_ENABLE(%a6),%d0 # fetch exceptions enabled
bne.w fu_out_ena_p # some are enabled
fu_out_exit_p:
mov.l EXC_A6(%a6),(%a6) # restore a6
btst &0x5,EXC_SR(%a6) # user or supervisor?
bne.b fu_out_exit_s_p # supervisor
mov.l EXC_A7(%a6),%a0 # update user a7
mov.l %a0,%usp
fu_out_exit_cont_p:
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6 # unravel stack frame
btst &0x7,(%sp) # is trace on?
bne.w fu_trace_p # yes
bra.l _fpsp_done # exit to os
# the exception occurred in supervisor mode. check to see if the
# addressing mode was -(a7). if so, we'll need to shift the
# stack frame "down".
fu_out_exit_s_p:
btst &mda7_bit,SPCOND_FLG(%a6) # was ea mode -(a7)
beq.b fu_out_exit_cont_p # no
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
mov.l (%a6),%a6 # restore frame pointer
mov.l LOCAL_SIZE+EXC_SR(%sp),LOCAL_SIZE+EXC_SR-0xc(%sp)
mov.l LOCAL_SIZE+2+EXC_PC(%sp),LOCAL_SIZE+2+EXC_PC-0xc(%sp)
# now, copy the result to the proper place on the stack
mov.l LOCAL_SIZE+FP_DST_EX(%sp),LOCAL_SIZE+EXC_SR+0x0(%sp)
mov.l LOCAL_SIZE+FP_DST_HI(%sp),LOCAL_SIZE+EXC_SR+0x4(%sp)
mov.l LOCAL_SIZE+FP_DST_LO(%sp),LOCAL_SIZE+EXC_SR+0x8(%sp)
add.l &LOCAL_SIZE-0x8,%sp
btst &0x7,(%sp)
bne.w fu_trace_p
bra.l _fpsp_done
fu_out_ena_p:
and.b FPSR_EXCEPT(%a6),%d0 # keep only ones enabled
bfffo %d0{&24:&8},%d0 # find highest priority exception
beq.w fu_out_exit_p
mov.l EXC_A6(%a6),(%a6) # restore a6
# an exception occurred and that exception was enabled.
# the only exception possible on packed move out are INEX, OPERR, and SNAN.
fu_out_exc_p:
cmpi.b %d0,&0x1a
bgt.w fu_inex_p2
beq.w fu_operr_p
fu_snan_p:
btst &0x5,EXC_SR(%a6)
bne.b fu_snan_s_p
mov.l EXC_A7(%a6),%a0
mov.l %a0,%usp
bra.w fu_snan
fu_snan_s_p:
cmpi.b SPCOND_FLG(%a6),&mda7_flg
bne.w fu_snan
# the instruction was "fmove.p fpn,-(a7)" from supervisor mode.
# the strategy is to move the exception frame "down" 12 bytes. then, we
# can store the default result where the exception frame was.
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
mov.w &0x30d8,EXC_VOFF(%a6) # vector offset = 0xd0
mov.w &0xe006,2+FP_SRC(%a6) # set fsave status
frestore FP_SRC(%a6) # restore src operand
mov.l (%a6),%a6 # restore frame pointer
mov.l LOCAL_SIZE+EXC_SR(%sp),LOCAL_SIZE+EXC_SR-0xc(%sp)
mov.l LOCAL_SIZE+2+EXC_PC(%sp),LOCAL_SIZE+2+EXC_PC-0xc(%sp)
mov.l LOCAL_SIZE+EXC_EA(%sp),LOCAL_SIZE+EXC_EA-0xc(%sp)
# now, we copy the default result to its proper location
mov.l LOCAL_SIZE+FP_DST_EX(%sp),LOCAL_SIZE+0x4(%sp)
mov.l LOCAL_SIZE+FP_DST_HI(%sp),LOCAL_SIZE+0x8(%sp)
mov.l LOCAL_SIZE+FP_DST_LO(%sp),LOCAL_SIZE+0xc(%sp)
add.l &LOCAL_SIZE-0x8,%sp
bra.l _real_snan
fu_operr_p:
btst &0x5,EXC_SR(%a6)
bne.w fu_operr_p_s
mov.l EXC_A7(%a6),%a0
mov.l %a0,%usp
bra.w fu_operr
fu_operr_p_s:
cmpi.b SPCOND_FLG(%a6),&mda7_flg
bne.w fu_operr
# the instruction was "fmove.p fpn,-(a7)" from supervisor mode.
# the strategy is to move the exception frame "down" 12 bytes. then, we
# can store the default result where the exception frame was.
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
mov.w &0x30d0,EXC_VOFF(%a6) # vector offset = 0xd0
mov.w &0xe004,2+FP_SRC(%a6) # set fsave status
frestore FP_SRC(%a6) # restore src operand
mov.l (%a6),%a6 # restore frame pointer
mov.l LOCAL_SIZE+EXC_SR(%sp),LOCAL_SIZE+EXC_SR-0xc(%sp)
mov.l LOCAL_SIZE+2+EXC_PC(%sp),LOCAL_SIZE+2+EXC_PC-0xc(%sp)
mov.l LOCAL_SIZE+EXC_EA(%sp),LOCAL_SIZE+EXC_EA-0xc(%sp)
# now, we copy the default result to its proper location
mov.l LOCAL_SIZE+FP_DST_EX(%sp),LOCAL_SIZE+0x4(%sp)
mov.l LOCAL_SIZE+FP_DST_HI(%sp),LOCAL_SIZE+0x8(%sp)
mov.l LOCAL_SIZE+FP_DST_LO(%sp),LOCAL_SIZE+0xc(%sp)
add.l &LOCAL_SIZE-0x8,%sp
bra.l _real_operr
fu_inex_p2:
btst &0x5,EXC_SR(%a6)
bne.w fu_inex_s_p2
mov.l EXC_A7(%a6),%a0
mov.l %a0,%usp
bra.w fu_inex
fu_inex_s_p2:
cmpi.b SPCOND_FLG(%a6),&mda7_flg
bne.w fu_inex
# the instruction was "fmove.p fpn,-(a7)" from supervisor mode.
# the strategy is to move the exception frame "down" 12 bytes. then, we
# can store the default result where the exception frame was.
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0/fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
mov.w &0x30c4,EXC_VOFF(%a6) # vector offset = 0xc4
mov.w &0xe001,2+FP_SRC(%a6) # set fsave status
frestore FP_SRC(%a6) # restore src operand
mov.l (%a6),%a6 # restore frame pointer
mov.l LOCAL_SIZE+EXC_SR(%sp),LOCAL_SIZE+EXC_SR-0xc(%sp)
mov.l LOCAL_SIZE+2+EXC_PC(%sp),LOCAL_SIZE+2+EXC_PC-0xc(%sp)
mov.l LOCAL_SIZE+EXC_EA(%sp),LOCAL_SIZE+EXC_EA-0xc(%sp)
# now, we copy the default result to its proper location
mov.l LOCAL_SIZE+FP_DST_EX(%sp),LOCAL_SIZE+0x4(%sp)
mov.l LOCAL_SIZE+FP_DST_HI(%sp),LOCAL_SIZE+0x8(%sp)
mov.l LOCAL_SIZE+FP_DST_LO(%sp),LOCAL_SIZE+0xc(%sp)
add.l &LOCAL_SIZE-0x8,%sp
bra.l _real_inex
#########################################################################
#
# if we're stuffing a source operand back into an fsave frame then we
# have to make sure that for single or double source operands that the
# format stuffed is as weird as the hardware usually makes it.
#
global funimp_skew
funimp_skew:
bfextu EXC_EXTWORD(%a6){&3:&3},%d0 # extract src specifier
cmpi.b %d0,&0x1 # was src sgl?
beq.b funimp_skew_sgl # yes
cmpi.b %d0,&0x5 # was src dbl?
beq.b funimp_skew_dbl # yes
rts
funimp_skew_sgl:
mov.w FP_SRC_EX(%a6),%d0 # fetch DENORM exponent
andi.w &0x7fff,%d0 # strip sign
beq.b funimp_skew_sgl_not
cmpi.w %d0,&0x3f80
bgt.b funimp_skew_sgl_not
neg.w %d0 # make exponent negative
addi.w &0x3f81,%d0 # find amt to shift
mov.l FP_SRC_HI(%a6),%d1 # fetch DENORM hi(man)
lsr.l %d0,%d1 # shift it
bset &31,%d1 # set j-bit
mov.l %d1,FP_SRC_HI(%a6) # insert new hi(man)
andi.w &0x8000,FP_SRC_EX(%a6) # clear old exponent
ori.w &0x3f80,FP_SRC_EX(%a6) # insert new "skewed" exponent
funimp_skew_sgl_not:
rts
funimp_skew_dbl:
mov.w FP_SRC_EX(%a6),%d0 # fetch DENORM exponent
andi.w &0x7fff,%d0 # strip sign
beq.b funimp_skew_dbl_not
cmpi.w %d0,&0x3c00
bgt.b funimp_skew_dbl_not
tst.b FP_SRC_EX(%a6) # make "internal format"
smi.b 0x2+FP_SRC(%a6)
mov.w %d0,FP_SRC_EX(%a6) # insert exponent with cleared sign
clr.l %d0 # clear g,r,s
lea FP_SRC(%a6),%a0 # pass ptr to src op
mov.w &0x3c01,%d1 # pass denorm threshold
bsr.l dnrm_lp # denorm it
mov.w &0x3c00,%d0 # new exponent
tst.b 0x2+FP_SRC(%a6) # is sign set?
beq.b fss_dbl_denorm_done # no
bset &15,%d0 # set sign
fss_dbl_denorm_done:
bset &0x7,FP_SRC_HI(%a6) # set j-bit
mov.w %d0,FP_SRC_EX(%a6) # insert new exponent
funimp_skew_dbl_not:
rts
#########################################################################
global _mem_write2
_mem_write2:
btst &0x5,EXC_SR(%a6)
beq.l _dmem_write
mov.l 0x0(%a0),FP_DST_EX(%a6)
mov.l 0x4(%a0),FP_DST_HI(%a6)
mov.l 0x8(%a0),FP_DST_LO(%a6)
clr.l %d1
rts
#########################################################################
# XDEF **************************************************************** #
# _fpsp_effadd(): 060FPSP entry point for FP "Unimplemented #
# effective address" exception. #
# #
# This handler should be the first code executed upon taking the #
# FP Unimplemented Effective Address exception in an operating #
# system. #
# #
# XREF **************************************************************** #
# _imem_read_long() - read instruction longword #
# fix_skewed_ops() - adjust src operand in fsave frame #
# set_tag_x() - determine optype of src/dst operands #
# store_fpreg() - store opclass 0 or 2 result to FP regfile #
# unnorm_fix() - change UNNORM operands to NORM or ZERO #
# load_fpn2() - load dst operand from FP regfile #
# tbl_unsupp - add of table of emulation routines for opclass 0,2 #
# decbin() - convert packed data to FP binary data #
# _real_fpu_disabled() - "callout" for "FPU disabled" exception #
# _real_access() - "callout" for access error exception #
# _mem_read() - read extended immediate operand from memory #
# _fpsp_done() - "callout" for exit; work all done #
# _real_trace() - "callout" for Trace enabled exception #
# fmovm_dynamic() - emulate dynamic fmovm instruction #
# fmovm_ctrl() - emulate fmovm control instruction #
# #
# INPUT *************************************************************** #
# - The system stack contains the "Unimplemented <ea>" stk frame #
# #
# OUTPUT ************************************************************** #
# If access error: #
# - The system stack is changed to an access error stack frame #
# If FPU disabled: #
# - The system stack is changed to an FPU disabled stack frame #
# If Trace exception enabled: #
# - The system stack is changed to a Trace exception stack frame #
# Else: (normal case) #
# - None (correct result has been stored as appropriate) #
# #
# ALGORITHM *********************************************************** #
# This exception handles 3 types of operations: #
# (1) FP Instructions using extended precision or packed immediate #
# addressing mode. #
# (2) The "fmovm.x" instruction w/ dynamic register specification. #
# (3) The "fmovm.l" instruction w/ 2 or 3 control registers. #
# #
# For immediate data operations, the data is read in w/ a #
# _mem_read() "callout", converted to FP binary (if packed), and used #
# as the source operand to the instruction specified by the instruction #
# word. If no FP exception should be reported ads a result of the #
# emulation, then the result is stored to the destination register and #
# the handler exits through _fpsp_done(). If an enabled exc has been #
# signalled as a result of emulation, then an fsave state frame #
# corresponding to the FP exception type must be entered into the 060 #
# FPU before exiting. In either the enabled or disabled cases, we #
# must also check if a Trace exception is pending, in which case, we #
# must create a Trace exception stack frame from the current exception #
# stack frame. If no Trace is pending, we simply exit through #
# _fpsp_done(). #
# For "fmovm.x", call the routine fmovm_dynamic() which will #
# decode and emulate the instruction. No FP exceptions can be pending #
# as a result of this operation emulation. A Trace exception can be #
# pending, though, which means the current stack frame must be changed #
# to a Trace stack frame and an exit made through _real_trace(). #
# For the case of "fmovm.x Dn,-(a7)", where the offending instruction #
# was executed from supervisor mode, this handler must store the FP #
# register file values to the system stack by itself since #
# fmovm_dynamic() can't handle this. A normal exit is made through #
# fpsp_done(). #
# For "fmovm.l", fmovm_ctrl() is used to emulate the instruction. #
# Again, a Trace exception may be pending and an exit made through #
# _real_trace(). Else, a normal exit is made through _fpsp_done(). #
# #
# Before any of the above is attempted, it must be checked to #
# see if the FPU is disabled. Since the "Unimp <ea>" exception is taken #
# before the "FPU disabled" exception, but the "FPU disabled" exception #
# has higher priority, we check the disabled bit in the PCR. If set, #
# then we must create an 8 word "FPU disabled" exception stack frame #
# from the current 4 word exception stack frame. This includes #
# reproducing the effective address of the instruction to put on the #
# new stack frame. #
# #
# In the process of all emulation work, if a _mem_read() #
# "callout" returns a failing result indicating an access error, then #
# we must create an access error stack frame from the current stack #
# frame. This information includes a faulting address and a fault- #
# status-longword. These are created within this handler. #
# #
#########################################################################
global _fpsp_effadd
_fpsp_effadd:
# This exception type takes priority over the "Line F Emulator"
# exception. Therefore, the FPU could be disabled when entering here.
# So, we must check to see if it's disabled and handle that case separately.
mov.l %d0,-(%sp) # save d0
movc %pcr,%d0 # load proc cr
btst &0x1,%d0 # is FPU disabled?
bne.w iea_disabled # yes
mov.l (%sp)+,%d0 # restore d0
link %a6,&-LOCAL_SIZE # init stack frame
movm.l &0x0303,EXC_DREGS(%a6) # save d0-d1/a0-a1
fmovm.l %fpcr,%fpsr,%fpiar,USER_FPCR(%a6) # save ctrl regs
fmovm.x &0xc0,EXC_FPREGS(%a6) # save fp0-fp1 on stack
# PC of instruction that took the exception is the PC in the frame
mov.l EXC_PC(%a6),EXC_EXTWPTR(%a6)
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch the instruction words
mov.l %d0,EXC_OPWORD(%a6) # store OPWORD and EXTWORD
#########################################################################
tst.w %d0 # is operation fmovem?
bmi.w iea_fmovm # yes
#
# here, we will have:
# fabs fdabs fsabs facos fmod
# fadd fdadd fsadd fasin frem
# fcmp fatan fscale
# fdiv fddiv fsdiv fatanh fsin
# fint fcos fsincos
# fintrz fcosh fsinh
# fmove fdmove fsmove fetox ftan
# fmul fdmul fsmul fetoxm1 ftanh
# fneg fdneg fsneg fgetexp ftentox
# fsgldiv fgetman ftwotox
# fsglmul flog10
# fsqrt flog2
# fsub fdsub fssub flogn
# ftst flognp1
# which can all use f<op>.{x,p}
# so, now it's immediate data extended precision AND PACKED FORMAT!
#
iea_op:
andi.l &0x00ff00ff,USER_FPSR(%a6)
btst &0xa,%d0 # is src fmt x or p?
bne.b iea_op_pack # packed
mov.l EXC_EXTWPTR(%a6),%a0 # pass: ptr to #<data>
lea FP_SRC(%a6),%a1 # pass: ptr to super addr
mov.l &0xc,%d0 # pass: 12 bytes
bsr.l _imem_read # read extended immediate
tst.l %d1 # did ifetch fail?
bne.w iea_iacc # yes
bra.b iea_op_setsrc
iea_op_pack:
mov.l EXC_EXTWPTR(%a6),%a0 # pass: ptr to #<data>
lea FP_SRC(%a6),%a1 # pass: ptr to super dst
mov.l &0xc,%d0 # pass: 12 bytes
bsr.l _imem_read # read packed operand
tst.l %d1 # did ifetch fail?
bne.w iea_iacc # yes
# The packed operand is an INF or a NAN if the exponent field is all ones.
bfextu FP_SRC(%a6){&1:&15},%d0 # get exp
cmpi.w %d0,&0x7fff # INF or NAN?
beq.b iea_op_setsrc # operand is an INF or NAN
# The packed operand is a zero if the mantissa is all zero, else it's
# a normal packed op.
mov.b 3+FP_SRC(%a6),%d0 # get byte 4
andi.b &0x0f,%d0 # clear all but last nybble
bne.b iea_op_gp_not_spec # not a zero
tst.l FP_SRC_HI(%a6) # is lw 2 zero?
bne.b iea_op_gp_not_spec # not a zero
tst.l FP_SRC_LO(%a6) # is lw 3 zero?
beq.b iea_op_setsrc # operand is a ZERO
iea_op_gp_not_spec:
lea FP_SRC(%a6),%a0 # pass: ptr to packed op
bsr.l decbin # convert to extended
fmovm.x &0x80,FP_SRC(%a6) # make this the srcop
iea_op_setsrc:
addi.l &0xc,EXC_EXTWPTR(%a6) # update extension word pointer
# FP_SRC now holds the src operand.
lea FP_SRC(%a6),%a0 # pass: ptr to src op
bsr.l set_tag_x # tag the operand type
mov.b %d0,STAG(%a6) # could be ANYTHING!!!
cmpi.b %d0,&UNNORM # is operand an UNNORM?
bne.b iea_op_getdst # no
bsr.l unnorm_fix # yes; convert to NORM/DENORM/ZERO
mov.b %d0,STAG(%a6) # set new optype tag
iea_op_getdst:
clr.b STORE_FLG(%a6) # clear "store result" boolean
btst &0x5,1+EXC_CMDREG(%a6) # is operation monadic or dyadic?
beq.b iea_op_extract # monadic
btst &0x4,1+EXC_CMDREG(%a6) # is operation fsincos,ftst,fcmp?
bne.b iea_op_spec # yes
iea_op_loaddst:
bfextu EXC_CMDREG(%a6){&6:&3},%d0 # fetch dst regno
bsr.l load_fpn2 # load dst operand
lea FP_DST(%a6),%a0 # pass: ptr to dst op
bsr.l set_tag_x # tag the operand type
mov.b %d0,DTAG(%a6) # could be ANYTHING!!!
cmpi.b %d0,&UNNORM # is operand an UNNORM?
bne.b iea_op_extract # no
bsr.l unnorm_fix # yes; convert to NORM/DENORM/ZERO
mov.b %d0,DTAG(%a6) # set new optype tag
bra.b iea_op_extract
# the operation is fsincos, ftst, or fcmp. only fcmp is dyadic
iea_op_spec:
btst &0x3,1+EXC_CMDREG(%a6) # is operation fsincos?
beq.b iea_op_extract # yes
# now, we're left with ftst and fcmp. so, first let's tag them so that they don't
# store a result. then, only fcmp will branch back and pick up a dst operand.
st STORE_FLG(%a6) # don't store a final result
btst &0x1,1+EXC_CMDREG(%a6) # is operation fcmp?
beq.b iea_op_loaddst # yes
iea_op_extract:
clr.l %d0
mov.b FPCR_MODE(%a6),%d0 # pass: rnd mode,prec
mov.b 1+EXC_CMDREG(%a6),%d1
andi.w &0x007f,%d1 # extract extension
fmov.l &0x0,%fpcr
fmov.l &0x0,%fpsr
lea FP_SRC(%a6),%a0
lea FP_DST(%a6),%a1
mov.l (tbl_unsupp.l,%pc,%d1.w*4),%d1 # fetch routine addr
jsr (tbl_unsupp.l,%pc,%d1.l*1)
#
# Exceptions in order of precedence:
# BSUN : none
# SNAN : all operations
# OPERR : all reg-reg or mem-reg operations that can normally operr
# OVFL : same as OPERR
# UNFL : same as OPERR
# DZ : same as OPERR
# INEX2 : same as OPERR
# INEX1 : all packed immediate operations
#
# we determine the highest priority exception(if any) set by the
# emulation routine that has also been enabled by the user.
mov.b FPCR_ENABLE(%a6),%d0 # fetch exceptions enabled
bne.b iea_op_ena # some are enabled
# now, we save the result, unless, of course, the operation was ftst or fcmp.
# these don't save results.
iea_op_save:
tst.b STORE_FLG(%a6) # does this op store a result?
bne.b iea_op_exit1 # exit with no frestore
iea_op_store:
bfextu EXC_CMDREG(%a6){&6:&3},%d0 # fetch dst regno
bsr.l store_fpreg # store the result
iea_op_exit1:
mov.l EXC_PC(%a6),USER_FPIAR(%a6) # set FPIAR to "Current PC"
mov.l EXC_EXTWPTR(%a6),EXC_PC(%a6) # set "Next PC" in exc frame
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6 # unravel the frame
btst &0x7,(%sp) # is trace on?
bne.w iea_op_trace # yes
bra.l _fpsp_done # exit to os
iea_op_ena:
and.b FPSR_EXCEPT(%a6),%d0 # keep only ones enable and set
bfffo %d0{&24:&8},%d0 # find highest priority exception
bne.b iea_op_exc # at least one was set
# no exception occurred. now, did a disabled, exact overflow occur with inexact
# enabled? if so, then we have to stuff an overflow frame into the FPU.
btst &ovfl_bit,FPSR_EXCEPT(%a6) # did overflow occur?
beq.b iea_op_save
iea_op_ovfl:
btst &inex2_bit,FPCR_ENABLE(%a6) # is inexact enabled?
beq.b iea_op_store # no
bra.b iea_op_exc_ovfl # yes
# an enabled exception occurred. we have to insert the exception type back into
# the machine.
iea_op_exc:
subi.l &24,%d0 # fix offset to be 0-8
cmpi.b %d0,&0x6 # is exception INEX?
bne.b iea_op_exc_force # no
# the enabled exception was inexact. so, if it occurs with an overflow
# or underflow that was disabled, then we have to force an overflow or
# underflow frame.
btst &ovfl_bit,FPSR_EXCEPT(%a6) # did overflow occur?
bne.b iea_op_exc_ovfl # yes
btst &unfl_bit,FPSR_EXCEPT(%a6) # did underflow occur?
bne.b iea_op_exc_unfl # yes
iea_op_exc_force:
mov.w (tbl_iea_except.b,%pc,%d0.w*2),2+FP_SRC(%a6)
bra.b iea_op_exit2 # exit with frestore
tbl_iea_except:
short 0xe002, 0xe006, 0xe004, 0xe005
short 0xe003, 0xe002, 0xe001, 0xe001
iea_op_exc_ovfl:
mov.w &0xe005,2+FP_SRC(%a6)
bra.b iea_op_exit2
iea_op_exc_unfl:
mov.w &0xe003,2+FP_SRC(%a6)
iea_op_exit2:
mov.l EXC_PC(%a6),USER_FPIAR(%a6) # set FPIAR to "Current PC"
mov.l EXC_EXTWPTR(%a6),EXC_PC(%a6) # set "Next PC" in exc frame
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6) # restore exceptional state
unlk %a6 # unravel the frame
btst &0x7,(%sp) # is trace on?
bne.b iea_op_trace # yes
bra.l _fpsp_done # exit to os
#
# The opclass two instruction that took an "Unimplemented Effective Address"
# exception was being traced. Make the "current" PC the FPIAR and put it in
# the trace stack frame then jump to _real_trace().
#
# UNIMP EA FRAME TRACE FRAME
# ***************** *****************
# * 0x0 * 0x0f0 * * Current *
# ***************** * PC *
# * Current * *****************
# * PC * * 0x2 * 0x024 *
# ***************** *****************
# * SR * * Next *
# ***************** * PC *
# *****************
# * SR *
# *****************
iea_op_trace:
mov.l (%sp),-(%sp) # shift stack frame "down"
mov.w 0x8(%sp),0x4(%sp)
mov.w &0x2024,0x6(%sp) # stk fmt = 0x2; voff = 0x024
fmov.l %fpiar,0x8(%sp) # "Current PC" is in FPIAR
bra.l _real_trace
#########################################################################
iea_fmovm:
btst &14,%d0 # ctrl or data reg
beq.w iea_fmovm_ctrl
iea_fmovm_data:
btst &0x5,EXC_SR(%a6) # user or supervisor mode
bne.b iea_fmovm_data_s
iea_fmovm_data_u:
mov.l %usp,%a0
mov.l %a0,EXC_A7(%a6) # store current a7
bsr.l fmovm_dynamic # do dynamic fmovm
mov.l EXC_A7(%a6),%a0 # load possibly new a7
mov.l %a0,%usp # update usp
bra.w iea_fmovm_exit
iea_fmovm_data_s:
clr.b SPCOND_FLG(%a6)
lea 0x2+EXC_VOFF(%a6),%a0
mov.l %a0,EXC_A7(%a6)
bsr.l fmovm_dynamic # do dynamic fmovm
cmpi.b SPCOND_FLG(%a6),&mda7_flg
beq.w iea_fmovm_data_predec
cmpi.b SPCOND_FLG(%a6),&mia7_flg
bne.w iea_fmovm_exit
# right now, d0 = the size.
# the data has been fetched from the supervisor stack, but we have not
# incremented the stack pointer by the appropriate number of bytes.
# do it here.
iea_fmovm_data_postinc:
btst &0x7,EXC_SR(%a6)
bne.b iea_fmovm_data_pi_trace
mov.w EXC_SR(%a6),(EXC_SR,%a6,%d0)
mov.l EXC_EXTWPTR(%a6),(EXC_PC,%a6,%d0)
mov.w &0x00f0,(EXC_VOFF,%a6,%d0)
lea (EXC_SR,%a6,%d0),%a0
mov.l %a0,EXC_SR(%a6)
fmovm.x EXC_FP0(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
mov.l (%sp)+,%sp
bra.l _fpsp_done
iea_fmovm_data_pi_trace:
mov.w EXC_SR(%a6),(EXC_SR-0x4,%a6,%d0)
mov.l EXC_EXTWPTR(%a6),(EXC_PC-0x4,%a6,%d0)
mov.w &0x2024,(EXC_VOFF-0x4,%a6,%d0)
mov.l EXC_PC(%a6),(EXC_VOFF+0x2-0x4,%a6,%d0)
lea (EXC_SR-0x4,%a6,%d0),%a0
mov.l %a0,EXC_SR(%a6)
fmovm.x EXC_FP0(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
mov.l (%sp)+,%sp
bra.l _real_trace
# right now, d1 = size and d0 = the strg.
iea_fmovm_data_predec:
mov.b %d1,EXC_VOFF(%a6) # store strg
mov.b %d0,0x1+EXC_VOFF(%a6) # store size
fmovm.x EXC_FP0(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
mov.l (%a6),-(%sp) # make a copy of a6
mov.l %d0,-(%sp) # save d0
mov.l %d1,-(%sp) # save d1
mov.l EXC_EXTWPTR(%a6),-(%sp) # make a copy of Next PC
clr.l %d0
mov.b 0x1+EXC_VOFF(%a6),%d0 # fetch size
neg.l %d0 # get negative of size
btst &0x7,EXC_SR(%a6) # is trace enabled?
beq.b iea_fmovm_data_p2
mov.w EXC_SR(%a6),(EXC_SR-0x4,%a6,%d0)
mov.l EXC_PC(%a6),(EXC_VOFF-0x2,%a6,%d0)
mov.l (%sp)+,(EXC_PC-0x4,%a6,%d0)
mov.w &0x2024,(EXC_VOFF-0x4,%a6,%d0)
pea (%a6,%d0) # create final sp
bra.b iea_fmovm_data_p3
iea_fmovm_data_p2:
mov.w EXC_SR(%a6),(EXC_SR,%a6,%d0)
mov.l (%sp)+,(EXC_PC,%a6,%d0)
mov.w &0x00f0,(EXC_VOFF,%a6,%d0)
pea (0x4,%a6,%d0) # create final sp
iea_fmovm_data_p3:
clr.l %d1
mov.b EXC_VOFF(%a6),%d1 # fetch strg
tst.b %d1
bpl.b fm_1
fmovm.x &0x80,(0x4+0x8,%a6,%d0)
addi.l &0xc,%d0
fm_1:
lsl.b &0x1,%d1
bpl.b fm_2
fmovm.x &0x40,(0x4+0x8,%a6,%d0)
addi.l &0xc,%d0
fm_2:
lsl.b &0x1,%d1
bpl.b fm_3
fmovm.x &0x20,(0x4+0x8,%a6,%d0)
addi.l &0xc,%d0
fm_3:
lsl.b &0x1,%d1
bpl.b fm_4
fmovm.x &0x10,(0x4+0x8,%a6,%d0)
addi.l &0xc,%d0
fm_4:
lsl.b &0x1,%d1
bpl.b fm_5
fmovm.x &0x08,(0x4+0x8,%a6,%d0)
addi.l &0xc,%d0
fm_5:
lsl.b &0x1,%d1
bpl.b fm_6
fmovm.x &0x04,(0x4+0x8,%a6,%d0)
addi.l &0xc,%d0
fm_6:
lsl.b &0x1,%d1
bpl.b fm_7
fmovm.x &0x02,(0x4+0x8,%a6,%d0)
addi.l &0xc,%d0
fm_7:
lsl.b &0x1,%d1
bpl.b fm_end
fmovm.x &0x01,(0x4+0x8,%a6,%d0)
fm_end:
mov.l 0x4(%sp),%d1
mov.l 0x8(%sp),%d0
mov.l 0xc(%sp),%a6
mov.l (%sp)+,%sp
btst &0x7,(%sp) # is trace enabled?
beq.l _fpsp_done
bra.l _real_trace
#########################################################################
iea_fmovm_ctrl:
bsr.l fmovm_ctrl # load ctrl regs
iea_fmovm_exit:
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
btst &0x7,EXC_SR(%a6) # is trace on?
bne.b iea_fmovm_trace # yes
mov.l EXC_EXTWPTR(%a6),EXC_PC(%a6) # set Next PC
unlk %a6 # unravel the frame
bra.l _fpsp_done # exit to os
#
# The control reg instruction that took an "Unimplemented Effective Address"
# exception was being traced. The "Current PC" for the trace frame is the
# PC stacked for Unimp EA. The "Next PC" is in EXC_EXTWPTR.
# After fixing the stack frame, jump to _real_trace().
#
# UNIMP EA FRAME TRACE FRAME
# ***************** *****************
# * 0x0 * 0x0f0 * * Current *
# ***************** * PC *
# * Current * *****************
# * PC * * 0x2 * 0x024 *
# ***************** *****************
# * SR * * Next *
# ***************** * PC *
# *****************
# * SR *
# *****************
# this ain't a pretty solution, but it works:
# -restore a6 (not with unlk)
# -shift stack frame down over where old a6 used to be
# -add LOCAL_SIZE to stack pointer
iea_fmovm_trace:
mov.l (%a6),%a6 # restore frame pointer
mov.w EXC_SR+LOCAL_SIZE(%sp),0x0+LOCAL_SIZE(%sp)
mov.l EXC_PC+LOCAL_SIZE(%sp),0x8+LOCAL_SIZE(%sp)
mov.l EXC_EXTWPTR+LOCAL_SIZE(%sp),0x2+LOCAL_SIZE(%sp)
mov.w &0x2024,0x6+LOCAL_SIZE(%sp) # stk fmt = 0x2; voff = 0x024
add.l &LOCAL_SIZE,%sp # clear stack frame
bra.l _real_trace
#########################################################################
# The FPU is disabled and so we should really have taken the "Line
# F Emulator" exception. So, here we create an 8-word stack frame
# from our 4-word stack frame. This means we must calculate the length
# the faulting instruction to get the "next PC". This is trivial for
# immediate operands but requires some extra work for fmovm dynamic
# which can use most addressing modes.
iea_disabled:
mov.l (%sp)+,%d0 # restore d0
link %a6,&-LOCAL_SIZE # init stack frame
movm.l &0x0303,EXC_DREGS(%a6) # save d0-d1/a0-a1
# PC of instruction that took the exception is the PC in the frame
mov.l EXC_PC(%a6),EXC_EXTWPTR(%a6)
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch the instruction words
mov.l %d0,EXC_OPWORD(%a6) # store OPWORD and EXTWORD
tst.w %d0 # is instr fmovm?
bmi.b iea_dis_fmovm # yes
# instruction is using an extended precision immediate operand. Therefore,
# the total instruction length is 16 bytes.
iea_dis_immed:
mov.l &0x10,%d0 # 16 bytes of instruction
bra.b iea_dis_cont
iea_dis_fmovm:
btst &0xe,%d0 # is instr fmovm ctrl
bne.b iea_dis_fmovm_data # no
# the instruction is a fmovm.l with 2 or 3 registers.
bfextu %d0{&19:&3},%d1
mov.l &0xc,%d0
cmpi.b %d1,&0x7 # move all regs?
bne.b iea_dis_cont
addq.l &0x4,%d0
bra.b iea_dis_cont
# the instruction is an fmovm.x dynamic which can use many addressing
# modes and thus can have several different total instruction lengths.
# call fmovm_calc_ea which will go through the ea calc process and,
# as a by-product, will tell us how long the instruction is.
iea_dis_fmovm_data:
clr.l %d0
bsr.l fmovm_calc_ea
mov.l EXC_EXTWPTR(%a6),%d0
sub.l EXC_PC(%a6),%d0
iea_dis_cont:
mov.w %d0,EXC_VOFF(%a6) # store stack shift value
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
# here, we actually create the 8-word frame from the 4-word frame,
# with the "next PC" as additional info.
# the <ea> field is let as undefined.
subq.l &0x8,%sp # make room for new stack
mov.l %d0,-(%sp) # save d0
mov.w 0xc(%sp),0x4(%sp) # move SR
mov.l 0xe(%sp),0x6(%sp) # move Current PC
clr.l %d0
mov.w 0x12(%sp),%d0
mov.l 0x6(%sp),0x10(%sp) # move Current PC
add.l %d0,0x6(%sp) # make Next PC
mov.w &0x402c,0xa(%sp) # insert offset,frame format
mov.l (%sp)+,%d0 # restore d0
bra.l _real_fpu_disabled
##########
iea_iacc:
movc %pcr,%d0
btst &0x1,%d0
bne.b iea_iacc_cont
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1 on stack
iea_iacc_cont:
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
subq.w &0x8,%sp # make stack frame bigger
mov.l 0x8(%sp),(%sp) # store SR,hi(PC)
mov.w 0xc(%sp),0x4(%sp) # store lo(PC)
mov.w &0x4008,0x6(%sp) # store voff
mov.l 0x2(%sp),0x8(%sp) # store ea
mov.l &0x09428001,0xc(%sp) # store fslw
iea_acc_done:
btst &0x5,(%sp) # user or supervisor mode?
beq.b iea_acc_done2 # user
bset &0x2,0xd(%sp) # set supervisor TM bit
iea_acc_done2:
bra.l _real_access
iea_dacc:
lea -LOCAL_SIZE(%a6),%sp
movc %pcr,%d1
btst &0x1,%d1
bne.b iea_dacc_cont
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1 on stack
fmovm.l LOCAL_SIZE+USER_FPCR(%sp),%fpcr,%fpsr,%fpiar # restore ctrl regs
iea_dacc_cont:
mov.l (%a6),%a6
mov.l 0x4+LOCAL_SIZE(%sp),-0x8+0x4+LOCAL_SIZE(%sp)
mov.w 0x8+LOCAL_SIZE(%sp),-0x8+0x8+LOCAL_SIZE(%sp)
mov.w &0x4008,-0x8+0xa+LOCAL_SIZE(%sp)
mov.l %a0,-0x8+0xc+LOCAL_SIZE(%sp)
mov.w %d0,-0x8+0x10+LOCAL_SIZE(%sp)
mov.w &0x0001,-0x8+0x12+LOCAL_SIZE(%sp)
movm.l LOCAL_SIZE+EXC_DREGS(%sp),&0x0303 # restore d0-d1/a0-a1
add.w &LOCAL_SIZE-0x4,%sp
bra.b iea_acc_done
#########################################################################
# XDEF **************************************************************** #
# _fpsp_operr(): 060FPSP entry point for FP Operr exception. #
# #
# This handler should be the first code executed upon taking the #
# FP Operand Error exception in an operating system. #
# #
# XREF **************************************************************** #
# _imem_read_long() - read instruction longword #
# fix_skewed_ops() - adjust src operand in fsave frame #
# _real_operr() - "callout" to operating system operr handler #
# _dmem_write_{byte,word,long}() - store data to mem (opclass 3) #
# store_dreg_{b,w,l}() - store data to data regfile (opclass 3) #
# facc_out_{b,w,l}() - store to memory took access error (opcl 3) #
# #
# INPUT *************************************************************** #
# - The system stack contains the FP Operr exception frame #
# - The fsave frame contains the source operand #
# #
# OUTPUT ************************************************************** #
# No access error: #
# - The system stack is unchanged #
# - The fsave frame contains the adjusted src op for opclass 0,2 #
# #
# ALGORITHM *********************************************************** #
# In a system where the FP Operr exception is enabled, the goal #
# is to get to the handler specified at _real_operr(). But, on the 060, #
# for opclass zero and two instruction taking this exception, the #
# input operand in the fsave frame may be incorrect for some cases #
# and needs to be corrected. This handler calls fix_skewed_ops() to #
# do just this and then exits through _real_operr(). #
# For opclass 3 instructions, the 060 doesn't store the default #
# operr result out to memory or data register file as it should. #
# This code must emulate the move out before finally exiting through #
# _real_inex(). The move out, if to memory, is performed using #
# _mem_write() "callout" routines that may return a failing result. #
# In this special case, the handler must exit through facc_out() #
# which creates an access error stack frame from the current operr #
# stack frame. #
# #
#########################################################################
global _fpsp_operr
_fpsp_operr:
link.w %a6,&-LOCAL_SIZE # init stack frame
fsave FP_SRC(%a6) # grab the "busy" frame
movm.l &0x0303,EXC_DREGS(%a6) # save d0-d1/a0-a1
fmovm.l %fpcr,%fpsr,%fpiar,USER_FPCR(%a6) # save ctrl regs
fmovm.x &0xc0,EXC_FPREGS(%a6) # save fp0-fp1 on stack
# the FPIAR holds the "current PC" of the faulting instruction
mov.l USER_FPIAR(%a6),EXC_EXTWPTR(%a6)
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch the instruction words
mov.l %d0,EXC_OPWORD(%a6)
##############################################################################
btst &13,%d0 # is instr an fmove out?
bne.b foperr_out # fmove out
# here, we simply see if the operand in the fsave frame needs to be "unskewed".
# this would be the case for opclass two operations with a source infinity or
# denorm operand in the sgl or dbl format. NANs also become skewed, but can't
# cause an operr so we don't need to check for them here.
lea FP_SRC(%a6),%a0 # pass: ptr to src op
bsr.l fix_skewed_ops # fix src op
foperr_exit:
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6)
unlk %a6
bra.l _real_operr
########################################################################
#
# the hardware does not save the default result to memory on enabled
# operand error exceptions. we do this here before passing control to
# the user operand error handler.
#
# byte, word, and long destination format operations can pass
# through here. we simply need to test the sign of the src
# operand and save the appropriate minimum or maximum integer value
# to the effective address as pointed to by the stacked effective address.
#
# although packed opclass three operations can take operand error
# exceptions, they won't pass through here since they are caught
# first by the unsupported data format exception handler. that handler
# sends them directly to _real_operr() if necessary.
#
foperr_out:
mov.w FP_SRC_EX(%a6),%d1 # fetch exponent
andi.w &0x7fff,%d1
cmpi.w %d1,&0x7fff
bne.b foperr_out_not_qnan
# the operand is either an infinity or a QNAN.
tst.l FP_SRC_LO(%a6)
bne.b foperr_out_qnan
mov.l FP_SRC_HI(%a6),%d1
andi.l &0x7fffffff,%d1
beq.b foperr_out_not_qnan
foperr_out_qnan:
mov.l FP_SRC_HI(%a6),L_SCR1(%a6)
bra.b foperr_out_jmp
foperr_out_not_qnan:
mov.l &0x7fffffff,%d1
tst.b FP_SRC_EX(%a6)
bpl.b foperr_out_not_qnan2
addq.l &0x1,%d1
foperr_out_not_qnan2:
mov.l %d1,L_SCR1(%a6)
foperr_out_jmp:
bfextu %d0{&19:&3},%d0 # extract dst format field
mov.b 1+EXC_OPWORD(%a6),%d1 # extract <ea> mode,reg
mov.w (tbl_operr.b,%pc,%d0.w*2),%a0
jmp (tbl_operr.b,%pc,%a0)
tbl_operr:
short foperr_out_l - tbl_operr # long word integer
short tbl_operr - tbl_operr # sgl prec shouldn't happen
short tbl_operr - tbl_operr # ext prec shouldn't happen
short foperr_exit - tbl_operr # packed won't enter here
short foperr_out_w - tbl_operr # word integer
short tbl_operr - tbl_operr # dbl prec shouldn't happen
short foperr_out_b - tbl_operr # byte integer
short tbl_operr - tbl_operr # packed won't enter here
foperr_out_b:
mov.b L_SCR1(%a6),%d0 # load positive default result
cmpi.b %d1,&0x7 # is <ea> mode a data reg?
ble.b foperr_out_b_save_dn # yes
mov.l EXC_EA(%a6),%a0 # pass: <ea> of default result
bsr.l _dmem_write_byte # write the default result
tst.l %d1 # did dstore fail?
bne.l facc_out_b # yes
bra.w foperr_exit
foperr_out_b_save_dn:
andi.w &0x0007,%d1
bsr.l store_dreg_b # store result to regfile
bra.w foperr_exit
foperr_out_w:
mov.w L_SCR1(%a6),%d0 # load positive default result
cmpi.b %d1,&0x7 # is <ea> mode a data reg?
ble.b foperr_out_w_save_dn # yes
mov.l EXC_EA(%a6),%a0 # pass: <ea> of default result
bsr.l _dmem_write_word # write the default result
tst.l %d1 # did dstore fail?
bne.l facc_out_w # yes
bra.w foperr_exit
foperr_out_w_save_dn:
andi.w &0x0007,%d1
bsr.l store_dreg_w # store result to regfile
bra.w foperr_exit
foperr_out_l:
mov.l L_SCR1(%a6),%d0 # load positive default result
cmpi.b %d1,&0x7 # is <ea> mode a data reg?
ble.b foperr_out_l_save_dn # yes
mov.l EXC_EA(%a6),%a0 # pass: <ea> of default result
bsr.l _dmem_write_long # write the default result
tst.l %d1 # did dstore fail?
bne.l facc_out_l # yes
bra.w foperr_exit
foperr_out_l_save_dn:
andi.w &0x0007,%d1
bsr.l store_dreg_l # store result to regfile
bra.w foperr_exit
#########################################################################
# XDEF **************************************************************** #
# _fpsp_snan(): 060FPSP entry point for FP SNAN exception. #
# #
# This handler should be the first code executed upon taking the #
# FP Signalling NAN exception in an operating system. #
# #
# XREF **************************************************************** #
# _imem_read_long() - read instruction longword #
# fix_skewed_ops() - adjust src operand in fsave frame #
# _real_snan() - "callout" to operating system SNAN handler #
# _dmem_write_{byte,word,long}() - store data to mem (opclass 3) #
# store_dreg_{b,w,l}() - store data to data regfile (opclass 3) #
# facc_out_{b,w,l,d,x}() - store to mem took acc error (opcl 3) #
# _calc_ea_fout() - fix An if <ea> is -() or ()+; also get <ea> #
# #
# INPUT *************************************************************** #
# - The system stack contains the FP SNAN exception frame #
# - The fsave frame contains the source operand #
# #
# OUTPUT ************************************************************** #
# No access error: #
# - The system stack is unchanged #
# - The fsave frame contains the adjusted src op for opclass 0,2 #
# #
# ALGORITHM *********************************************************** #
# In a system where the FP SNAN exception is enabled, the goal #
# is to get to the handler specified at _real_snan(). But, on the 060, #
# for opclass zero and two instructions taking this exception, the #
# input operand in the fsave frame may be incorrect for some cases #
# and needs to be corrected. This handler calls fix_skewed_ops() to #
# do just this and then exits through _real_snan(). #
# For opclass 3 instructions, the 060 doesn't store the default #
# SNAN result out to memory or data register file as it should. #
# This code must emulate the move out before finally exiting through #
# _real_snan(). The move out, if to memory, is performed using #
# _mem_write() "callout" routines that may return a failing result. #
# In this special case, the handler must exit through facc_out() #
# which creates an access error stack frame from the current SNAN #
# stack frame. #
# For the case of an extended precision opclass 3 instruction, #
# if the effective addressing mode was -() or ()+, then the address #
# register must get updated by calling _calc_ea_fout(). If the <ea> #
# was -(a7) from supervisor mode, then the exception frame currently #
# on the system stack must be carefully moved "down" to make room #
# for the operand being moved. #
# #
#########################################################################
global _fpsp_snan
_fpsp_snan:
link.w %a6,&-LOCAL_SIZE # init stack frame
fsave FP_SRC(%a6) # grab the "busy" frame
movm.l &0x0303,EXC_DREGS(%a6) # save d0-d1/a0-a1
fmovm.l %fpcr,%fpsr,%fpiar,USER_FPCR(%a6) # save ctrl regs
fmovm.x &0xc0,EXC_FPREGS(%a6) # save fp0-fp1 on stack
# the FPIAR holds the "current PC" of the faulting instruction
mov.l USER_FPIAR(%a6),EXC_EXTWPTR(%a6)
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch the instruction words
mov.l %d0,EXC_OPWORD(%a6)
##############################################################################
btst &13,%d0 # is instr an fmove out?
bne.w fsnan_out # fmove out
# here, we simply see if the operand in the fsave frame needs to be "unskewed".
# this would be the case for opclass two operations with a source infinity or
# denorm operand in the sgl or dbl format. NANs also become skewed and must be
# fixed here.
lea FP_SRC(%a6),%a0 # pass: ptr to src op
bsr.l fix_skewed_ops # fix src op
fsnan_exit:
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6)
unlk %a6
bra.l _real_snan
########################################################################
#
# the hardware does not save the default result to memory on enabled
# snan exceptions. we do this here before passing control to
# the user snan handler.
#
# byte, word, long, and packed destination format operations can pass
# through here. since packed format operations already were handled by
# fpsp_unsupp(), then we need to do nothing else for them here.
# for byte, word, and long, we simply need to test the sign of the src
# operand and save the appropriate minimum or maximum integer value
# to the effective address as pointed to by the stacked effective address.
#
fsnan_out:
bfextu %d0{&19:&3},%d0 # extract dst format field
mov.b 1+EXC_OPWORD(%a6),%d1 # extract <ea> mode,reg
mov.w (tbl_snan.b,%pc,%d0.w*2),%a0
jmp (tbl_snan.b,%pc,%a0)
tbl_snan:
short fsnan_out_l - tbl_snan # long word integer
short fsnan_out_s - tbl_snan # sgl prec shouldn't happen
short fsnan_out_x - tbl_snan # ext prec shouldn't happen
short tbl_snan - tbl_snan # packed needs no help
short fsnan_out_w - tbl_snan # word integer
short fsnan_out_d - tbl_snan # dbl prec shouldn't happen
short fsnan_out_b - tbl_snan # byte integer
short tbl_snan - tbl_snan # packed needs no help
fsnan_out_b:
mov.b FP_SRC_HI(%a6),%d0 # load upper byte of SNAN
bset &6,%d0 # set SNAN bit
cmpi.b %d1,&0x7 # is <ea> mode a data reg?
ble.b fsnan_out_b_dn # yes
mov.l EXC_EA(%a6),%a0 # pass: <ea> of default result
bsr.l _dmem_write_byte # write the default result
tst.l %d1 # did dstore fail?
bne.l facc_out_b # yes
bra.w fsnan_exit
fsnan_out_b_dn:
andi.w &0x0007,%d1
bsr.l store_dreg_b # store result to regfile
bra.w fsnan_exit
fsnan_out_w:
mov.w FP_SRC_HI(%a6),%d0 # load upper word of SNAN
bset &14,%d0 # set SNAN bit
cmpi.b %d1,&0x7 # is <ea> mode a data reg?
ble.b fsnan_out_w_dn # yes
mov.l EXC_EA(%a6),%a0 # pass: <ea> of default result
bsr.l _dmem_write_word # write the default result
tst.l %d1 # did dstore fail?
bne.l facc_out_w # yes
bra.w fsnan_exit
fsnan_out_w_dn:
andi.w &0x0007,%d1
bsr.l store_dreg_w # store result to regfile
bra.w fsnan_exit
fsnan_out_l:
mov.l FP_SRC_HI(%a6),%d0 # load upper longword of SNAN
bset &30,%d0 # set SNAN bit
cmpi.b %d1,&0x7 # is <ea> mode a data reg?
ble.b fsnan_out_l_dn # yes
mov.l EXC_EA(%a6),%a0 # pass: <ea> of default result
bsr.l _dmem_write_long # write the default result
tst.l %d1 # did dstore fail?
bne.l facc_out_l # yes
bra.w fsnan_exit
fsnan_out_l_dn:
andi.w &0x0007,%d1
bsr.l store_dreg_l # store result to regfile
bra.w fsnan_exit
fsnan_out_s:
cmpi.b %d1,&0x7 # is <ea> mode a data reg?
ble.b fsnan_out_d_dn # yes
mov.l FP_SRC_EX(%a6),%d0 # fetch SNAN sign
andi.l &0x80000000,%d0 # keep sign
ori.l &0x7fc00000,%d0 # insert new exponent,SNAN bit
mov.l FP_SRC_HI(%a6),%d1 # load mantissa
lsr.l &0x8,%d1 # shift mantissa for sgl
or.l %d1,%d0 # create sgl SNAN
mov.l EXC_EA(%a6),%a0 # pass: <ea> of default result
bsr.l _dmem_write_long # write the default result
tst.l %d1 # did dstore fail?
bne.l facc_out_l # yes
bra.w fsnan_exit
fsnan_out_d_dn:
mov.l FP_SRC_EX(%a6),%d0 # fetch SNAN sign
andi.l &0x80000000,%d0 # keep sign
ori.l &0x7fc00000,%d0 # insert new exponent,SNAN bit
mov.l %d1,-(%sp)
mov.l FP_SRC_HI(%a6),%d1 # load mantissa
lsr.l &0x8,%d1 # shift mantissa for sgl
or.l %d1,%d0 # create sgl SNAN
mov.l (%sp)+,%d1
andi.w &0x0007,%d1
bsr.l store_dreg_l # store result to regfile
bra.w fsnan_exit
fsnan_out_d:
mov.l FP_SRC_EX(%a6),%d0 # fetch SNAN sign
andi.l &0x80000000,%d0 # keep sign
ori.l &0x7ff80000,%d0 # insert new exponent,SNAN bit
mov.l FP_SRC_HI(%a6),%d1 # load hi mantissa
mov.l %d0,FP_SCR0_EX(%a6) # store to temp space
mov.l &11,%d0 # load shift amt
lsr.l %d0,%d1
or.l %d1,FP_SCR0_EX(%a6) # create dbl hi
mov.l FP_SRC_HI(%a6),%d1 # load hi mantissa
andi.l &0x000007ff,%d1
ror.l %d0,%d1
mov.l %d1,FP_SCR0_HI(%a6) # store to temp space
mov.l FP_SRC_LO(%a6),%d1 # load lo mantissa
lsr.l %d0,%d1
or.l %d1,FP_SCR0_HI(%a6) # create dbl lo
lea FP_SCR0(%a6),%a0 # pass: ptr to operand
mov.l EXC_EA(%a6),%a1 # pass: dst addr
movq.l &0x8,%d0 # pass: size of 8 bytes
bsr.l _dmem_write # write the default result
tst.l %d1 # did dstore fail?
bne.l facc_out_d # yes
bra.w fsnan_exit
# for extended precision, if the addressing mode is pre-decrement or
# post-increment, then the address register did not get updated.
# in addition, for pre-decrement, the stacked <ea> is incorrect.
fsnan_out_x:
clr.b SPCOND_FLG(%a6) # clear special case flag
mov.w FP_SRC_EX(%a6),FP_SCR0_EX(%a6)
clr.w 2+FP_SCR0(%a6)
mov.l FP_SRC_HI(%a6),%d0
bset &30,%d0
mov.l %d0,FP_SCR0_HI(%a6)
mov.l FP_SRC_LO(%a6),FP_SCR0_LO(%a6)
btst &0x5,EXC_SR(%a6) # supervisor mode exception?
bne.b fsnan_out_x_s # yes
mov.l %usp,%a0 # fetch user stack pointer
mov.l %a0,EXC_A7(%a6) # save on stack for calc_ea()
mov.l (%a6),EXC_A6(%a6)
bsr.l _calc_ea_fout # find the correct ea,update An
mov.l %a0,%a1
mov.l %a0,EXC_EA(%a6) # stack correct <ea>
mov.l EXC_A7(%a6),%a0
mov.l %a0,%usp # restore user stack pointer
mov.l EXC_A6(%a6),(%a6)
fsnan_out_x_save:
lea FP_SCR0(%a6),%a0 # pass: ptr to operand
movq.l &0xc,%d0 # pass: size of extended
bsr.l _dmem_write # write the default result
tst.l %d1 # did dstore fail?
bne.l facc_out_x # yes
bra.w fsnan_exit
fsnan_out_x_s:
mov.l (%a6),EXC_A6(%a6)
bsr.l _calc_ea_fout # find the correct ea,update An
mov.l %a0,%a1
mov.l %a0,EXC_EA(%a6) # stack correct <ea>
mov.l EXC_A6(%a6),(%a6)
cmpi.b SPCOND_FLG(%a6),&mda7_flg # is <ea> mode -(a7)?
bne.b fsnan_out_x_save # no
# the operation was "fmove.x SNAN,-(a7)" from supervisor mode.
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6)
mov.l EXC_A6(%a6),%a6 # restore frame pointer
mov.l LOCAL_SIZE+EXC_SR(%sp),LOCAL_SIZE+EXC_SR-0xc(%sp)
mov.l LOCAL_SIZE+EXC_PC+0x2(%sp),LOCAL_SIZE+EXC_PC+0x2-0xc(%sp)
mov.l LOCAL_SIZE+EXC_EA(%sp),LOCAL_SIZE+EXC_EA-0xc(%sp)
mov.l LOCAL_SIZE+FP_SCR0_EX(%sp),LOCAL_SIZE+EXC_SR(%sp)
mov.l LOCAL_SIZE+FP_SCR0_HI(%sp),LOCAL_SIZE+EXC_PC+0x2(%sp)
mov.l LOCAL_SIZE+FP_SCR0_LO(%sp),LOCAL_SIZE+EXC_EA(%sp)
add.l &LOCAL_SIZE-0x8,%sp
bra.l _real_snan
#########################################################################
# XDEF **************************************************************** #
# _fpsp_inex(): 060FPSP entry point for FP Inexact exception. #
# #
# This handler should be the first code executed upon taking the #
# FP Inexact exception in an operating system. #
# #
# XREF **************************************************************** #
# _imem_read_long() - read instruction longword #
# fix_skewed_ops() - adjust src operand in fsave frame #
# set_tag_x() - determine optype of src/dst operands #
# store_fpreg() - store opclass 0 or 2 result to FP regfile #
# unnorm_fix() - change UNNORM operands to NORM or ZERO #
# load_fpn2() - load dst operand from FP regfile #
# smovcr() - emulate an "fmovcr" instruction #
# fout() - emulate an opclass 3 instruction #
# tbl_unsupp - add of table of emulation routines for opclass 0,2 #
# _real_inex() - "callout" to operating system inexact handler #
# #
# INPUT *************************************************************** #
# - The system stack contains the FP Inexact exception frame #
# - The fsave frame contains the source operand #
# #
# OUTPUT ************************************************************** #
# - The system stack is unchanged #
# - The fsave frame contains the adjusted src op for opclass 0,2 #
# #
# ALGORITHM *********************************************************** #
# In a system where the FP Inexact exception is enabled, the goal #
# is to get to the handler specified at _real_inex(). But, on the 060, #
# for opclass zero and two instruction taking this exception, the #
# hardware doesn't store the correct result to the destination FP #
# register as did the '040 and '881/2. This handler must emulate the #
# instruction in order to get this value and then store it to the #
# correct register before calling _real_inex(). #
# For opclass 3 instructions, the 060 doesn't store the default #
# inexact result out to memory or data register file as it should. #
# This code must emulate the move out by calling fout() before finally #
# exiting through _real_inex(). #
# #
#########################################################################
global _fpsp_inex
_fpsp_inex:
link.w %a6,&-LOCAL_SIZE # init stack frame
fsave FP_SRC(%a6) # grab the "busy" frame
movm.l &0x0303,EXC_DREGS(%a6) # save d0-d1/a0-a1
fmovm.l %fpcr,%fpsr,%fpiar,USER_FPCR(%a6) # save ctrl regs
fmovm.x &0xc0,EXC_FPREGS(%a6) # save fp0-fp1 on stack
# the FPIAR holds the "current PC" of the faulting instruction
mov.l USER_FPIAR(%a6),EXC_EXTWPTR(%a6)
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch the instruction words
mov.l %d0,EXC_OPWORD(%a6)
##############################################################################
btst &13,%d0 # is instr an fmove out?
bne.w finex_out # fmove out
# the hardware, for "fabs" and "fneg" w/ a long source format, puts the
# longword integer directly into the upper longword of the mantissa along
# w/ an exponent value of 0x401e. we convert this to extended precision here.
bfextu %d0{&19:&3},%d0 # fetch instr size
bne.b finex_cont # instr size is not long
cmpi.w FP_SRC_EX(%a6),&0x401e # is exponent 0x401e?
bne.b finex_cont # no
fmov.l &0x0,%fpcr
fmov.l FP_SRC_HI(%a6),%fp0 # load integer src
fmov.x %fp0,FP_SRC(%a6) # store integer as extended precision
mov.w &0xe001,0x2+FP_SRC(%a6)
finex_cont:
lea FP_SRC(%a6),%a0 # pass: ptr to src op
bsr.l fix_skewed_ops # fix src op
# Here, we zero the ccode and exception byte field since we're going to
# emulate the whole instruction. Notice, though, that we don't kill the
# INEX1 bit. This is because a packed op has long since been converted
# to extended before arriving here. Therefore, we need to retain the
# INEX1 bit from when the operand was first converted.
andi.l &0x00ff01ff,USER_FPSR(%a6) # zero all but accured field
fmov.l &0x0,%fpcr # zero current control regs
fmov.l &0x0,%fpsr
bfextu EXC_EXTWORD(%a6){&0:&6},%d1 # extract upper 6 of cmdreg
cmpi.b %d1,&0x17 # is op an fmovecr?
beq.w finex_fmovcr # yes
lea FP_SRC(%a6),%a0 # pass: ptr to src op
bsr.l set_tag_x # tag the operand type
mov.b %d0,STAG(%a6) # maybe NORM,DENORM
# bits four and five of the fp extension word separate the monadic and dyadic
# operations that can pass through fpsp_inex(). remember that fcmp and ftst
# will never take this exception, but fsincos will.
btst &0x5,1+EXC_CMDREG(%a6) # is operation monadic or dyadic?
beq.b finex_extract # monadic
btst &0x4,1+EXC_CMDREG(%a6) # is operation an fsincos?
bne.b finex_extract # yes
bfextu EXC_CMDREG(%a6){&6:&3},%d0 # dyadic; load dst reg
bsr.l load_fpn2 # load dst into FP_DST
lea FP_DST(%a6),%a0 # pass: ptr to dst op
bsr.l set_tag_x # tag the operand type
cmpi.b %d0,&UNNORM # is operand an UNNORM?
bne.b finex_op2_done # no
bsr.l unnorm_fix # yes; convert to NORM,DENORM,or ZERO
finex_op2_done:
mov.b %d0,DTAG(%a6) # save dst optype tag
finex_extract:
clr.l %d0
mov.b FPCR_MODE(%a6),%d0 # pass rnd prec/mode
mov.b 1+EXC_CMDREG(%a6),%d1
andi.w &0x007f,%d1 # extract extension
lea FP_SRC(%a6),%a0
lea FP_DST(%a6),%a1
mov.l (tbl_unsupp.l,%pc,%d1.w*4),%d1 # fetch routine addr
jsr (tbl_unsupp.l,%pc,%d1.l*1)
# the operation has been emulated. the result is in fp0.
finex_save:
bfextu EXC_CMDREG(%a6){&6:&3},%d0
bsr.l store_fpreg
finex_exit:
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6)
unlk %a6
bra.l _real_inex
finex_fmovcr:
clr.l %d0
mov.b FPCR_MODE(%a6),%d0 # pass rnd prec,mode
mov.b 1+EXC_CMDREG(%a6),%d1
andi.l &0x0000007f,%d1 # pass rom offset
bsr.l smovcr
bra.b finex_save
########################################################################
#
# the hardware does not save the default result to memory on enabled
# inexact exceptions. we do this here before passing control to
# the user inexact handler.
#
# byte, word, and long destination format operations can pass
# through here. so can double and single precision.
# although packed opclass three operations can take inexact
# exceptions, they won't pass through here since they are caught
# first by the unsupported data format exception handler. that handler
# sends them directly to _real_inex() if necessary.
#
finex_out:
mov.b &NORM,STAG(%a6) # src is a NORM
clr.l %d0
mov.b FPCR_MODE(%a6),%d0 # pass rnd prec,mode
andi.l &0xffff00ff,USER_FPSR(%a6) # zero exception field
lea FP_SRC(%a6),%a0 # pass ptr to src operand
bsr.l fout # store the default result
bra.b finex_exit
#########################################################################
# XDEF **************************************************************** #
# _fpsp_dz(): 060FPSP entry point for FP DZ exception. #
# #
# This handler should be the first code executed upon taking #
# the FP DZ exception in an operating system. #
# #
# XREF **************************************************************** #
# _imem_read_long() - read instruction longword from memory #
# fix_skewed_ops() - adjust fsave operand #
# _real_dz() - "callout" exit point from FP DZ handler #
# #
# INPUT *************************************************************** #
# - The system stack contains the FP DZ exception stack. #
# - The fsave frame contains the source operand. #
# #
# OUTPUT ************************************************************** #
# - The system stack contains the FP DZ exception stack. #
# - The fsave frame contains the adjusted source operand. #
# #
# ALGORITHM *********************************************************** #
# In a system where the DZ exception is enabled, the goal is to #
# get to the handler specified at _real_dz(). But, on the 060, when the #
# exception is taken, the input operand in the fsave state frame may #
# be incorrect for some cases and need to be adjusted. So, this package #
# adjusts the operand using fix_skewed_ops() and then branches to #
# _real_dz(). #
# #
#########################################################################
global _fpsp_dz
_fpsp_dz:
link.w %a6,&-LOCAL_SIZE # init stack frame
fsave FP_SRC(%a6) # grab the "busy" frame
movm.l &0x0303,EXC_DREGS(%a6) # save d0-d1/a0-a1
fmovm.l %fpcr,%fpsr,%fpiar,USER_FPCR(%a6) # save ctrl regs
fmovm.x &0xc0,EXC_FPREGS(%a6) # save fp0-fp1 on stack
# the FPIAR holds the "current PC" of the faulting instruction
mov.l USER_FPIAR(%a6),EXC_EXTWPTR(%a6)
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch the instruction words
mov.l %d0,EXC_OPWORD(%a6)
##############################################################################
# here, we simply see if the operand in the fsave frame needs to be "unskewed".
# this would be the case for opclass two operations with a source zero
# in the sgl or dbl format.
lea FP_SRC(%a6),%a0 # pass: ptr to src op
bsr.l fix_skewed_ops # fix src op
fdz_exit:
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6)
unlk %a6
bra.l _real_dz
#########################################################################
# XDEF **************************************************************** #
# _fpsp_fline(): 060FPSP entry point for "Line F emulator" exc. #
# #
# This handler should be the first code executed upon taking the #
# "Line F Emulator" exception in an operating system. #
# #
# XREF **************************************************************** #
# _fpsp_unimp() - handle "FP Unimplemented" exceptions #
# _real_fpu_disabled() - handle "FPU disabled" exceptions #
# _real_fline() - handle "FLINE" exceptions #
# _imem_read_long() - read instruction longword #
# #
# INPUT *************************************************************** #
# - The system stack contains a "Line F Emulator" exception #
# stack frame. #
# #
# OUTPUT ************************************************************** #
# - The system stack is unchanged #
# #
# ALGORITHM *********************************************************** #
# When a "Line F Emulator" exception occurs, there are 3 possible #
# exception types, denoted by the exception stack frame format number: #
# (1) FPU unimplemented instruction (6 word stack frame) #
# (2) FPU disabled (8 word stack frame) #
# (3) Line F (4 word stack frame) #
# #
# This module determines which and forks the flow off to the #
# appropriate "callout" (for "disabled" and "Line F") or to the #
# correct emulation code (for "FPU unimplemented"). #
# This code also must check for "fmovecr" instructions w/ a #
# non-zero <ea> field. These may get flagged as "Line F" but should #
# really be flagged as "FPU Unimplemented". (This is a "feature" on #
# the '060. #
# #
#########################################################################
global _fpsp_fline
_fpsp_fline:
# check to see if this exception is a "FP Unimplemented Instruction"
# exception. if so, branch directly to that handler's entry point.
cmpi.w 0x6(%sp),&0x202c
beq.l _fpsp_unimp
# check to see if the FPU is disabled. if so, jump to the OS entry
# point for that condition.
cmpi.w 0x6(%sp),&0x402c
beq.l _real_fpu_disabled
# the exception was an "F-Line Illegal" exception. we check to see
# if the F-Line instruction is an "fmovecr" w/ a non-zero <ea>. if
# so, convert the F-Line exception stack frame to an FP Unimplemented
# Instruction exception stack frame else branch to the OS entry
# point for the F-Line exception handler.
link.w %a6,&-LOCAL_SIZE # init stack frame
movm.l &0x0303,EXC_DREGS(%a6) # save d0-d1/a0-a1
mov.l EXC_PC(%a6),EXC_EXTWPTR(%a6)
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch instruction words
bfextu %d0{&0:&10},%d1 # is it an fmovecr?
cmpi.w %d1,&0x03c8
bne.b fline_fline # no
bfextu %d0{&16:&6},%d1 # is it an fmovecr?
cmpi.b %d1,&0x17
bne.b fline_fline # no
# it's an fmovecr w/ a non-zero <ea> that has entered through
# the F-Line Illegal exception.
# so, we need to convert the F-Line exception stack frame into an
# FP Unimplemented Instruction stack frame and jump to that entry
# point.
#
# but, if the FPU is disabled, then we need to jump to the FPU disabled
# entry point.
movc %pcr,%d0
btst &0x1,%d0
beq.b fline_fmovcr
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
sub.l &0x8,%sp # make room for "Next PC", <ea>
mov.w 0x8(%sp),(%sp)
mov.l 0xa(%sp),0x2(%sp) # move "Current PC"
mov.w &0x402c,0x6(%sp)
mov.l 0x2(%sp),0xc(%sp)
addq.l &0x4,0x2(%sp) # set "Next PC"
bra.l _real_fpu_disabled
fline_fmovcr:
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
fmov.l 0x2(%sp),%fpiar # set current PC
addq.l &0x4,0x2(%sp) # set Next PC
mov.l (%sp),-(%sp)
mov.l 0x8(%sp),0x4(%sp)
mov.b &0x20,0x6(%sp)
bra.l _fpsp_unimp
fline_fline:
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
bra.l _real_fline
#########################################################################
# XDEF **************************************************************** #
# _fpsp_unimp(): 060FPSP entry point for FP "Unimplemented #
# Instruction" exception. #
# #
# This handler should be the first code executed upon taking the #
# FP Unimplemented Instruction exception in an operating system. #
# #
# XREF **************************************************************** #
# _imem_read_{word,long}() - read instruction word/longword #
# load_fop() - load src/dst ops from memory and/or FP regfile #
# store_fpreg() - store opclass 0 or 2 result to FP regfile #
# tbl_trans - addr of table of emulation routines for trnscndls #
# _real_access() - "callout" for access error exception #
# _fpsp_done() - "callout" for exit; work all done #
# _real_trace() - "callout" for Trace enabled exception #
# smovcr() - emulate "fmovecr" instruction #
# funimp_skew() - adjust fsave src ops to "incorrect" value #
# _ftrapcc() - emulate an "ftrapcc" instruction #
# _fdbcc() - emulate an "fdbcc" instruction #
# _fscc() - emulate an "fscc" instruction #
# _real_trap() - "callout" for Trap exception #
# _real_bsun() - "callout" for enabled Bsun exception #
# #
# INPUT *************************************************************** #
# - The system stack contains the "Unimplemented Instr" stk frame #
# #
# OUTPUT ************************************************************** #
# If access error: #
# - The system stack is changed to an access error stack frame #
# If Trace exception enabled: #
# - The system stack is changed to a Trace exception stack frame #
# Else: (normal case) #
# - Correct result has been stored as appropriate #
# #
# ALGORITHM *********************************************************** #
# There are two main cases of instructions that may enter here to #
# be emulated: (1) the FPgen instructions, most of which were also #
# unimplemented on the 040, and (2) "ftrapcc", "fscc", and "fdbcc". #
# For the first set, this handler calls the routine load_fop() #
# to load the source and destination (for dyadic) operands to be used #
# for instruction emulation. The correct emulation routine is then #
# chosen by decoding the instruction type and indexing into an #
# emulation subroutine index table. After emulation returns, this #
# handler checks to see if an exception should occur as a result of the #
# FP instruction emulation. If so, then an FP exception of the correct #
# type is inserted into the FPU state frame using the "frestore" #
# instruction before exiting through _fpsp_done(). In either the #
# exceptional or non-exceptional cases, we must check to see if the #
# Trace exception is enabled. If so, then we must create a Trace #
# exception frame from the current exception frame and exit through #
# _real_trace(). #
# For "fdbcc", "ftrapcc", and "fscc", the emulation subroutines #
# _fdbcc(), _ftrapcc(), and _fscc() respectively are used. All three #
# may flag that a BSUN exception should be taken. If so, then the #
# current exception stack frame is converted into a BSUN exception #
# stack frame and an exit is made through _real_bsun(). If the #
# instruction was "ftrapcc" and a Trap exception should result, a Trap #
# exception stack frame is created from the current frame and an exit #
# is made through _real_trap(). If a Trace exception is pending, then #
# a Trace exception frame is created from the current frame and a jump #
# is made to _real_trace(). Finally, if none of these conditions exist, #
# then the handler exits though the callout _fpsp_done(). #
# #
# In any of the above scenarios, if a _mem_read() or _mem_write() #
# "callout" returns a failing value, then an access error stack frame #
# is created from the current stack frame and an exit is made through #
# _real_access(). #
# #
#########################################################################
#
# FP UNIMPLEMENTED INSTRUCTION STACK FRAME:
#
# *****************
# * * => <ea> of fp unimp instr.
# - EA -
# * *
# *****************
# * 0x2 * 0x02c * => frame format and vector offset(vector #11)
# *****************
# * *
# - Next PC - => PC of instr to execute after exc handling
# * *
# *****************
# * SR * => SR at the time the exception was taken
# *****************
#
# Note: the !NULL bit does not get set in the fsave frame when the
# machine encounters an fp unimp exception. Therefore, it must be set
# before leaving this handler.
#
global _fpsp_unimp
_fpsp_unimp:
link.w %a6,&-LOCAL_SIZE # init stack frame
movm.l &0x0303,EXC_DREGS(%a6) # save d0-d1/a0-a1
fmovm.l %fpcr,%fpsr,%fpiar,USER_FPCR(%a6) # save ctrl regs
fmovm.x &0xc0,EXC_FPREGS(%a6) # save fp0-fp1
btst &0x5,EXC_SR(%a6) # user mode exception?
bne.b funimp_s # no; supervisor mode
# save the value of the user stack pointer onto the stack frame
funimp_u:
mov.l %usp,%a0 # fetch user stack pointer
mov.l %a0,EXC_A7(%a6) # store in stack frame
bra.b funimp_cont
# store the value of the supervisor stack pointer BEFORE the exc occurred.
# old_sp is address just above stacked effective address.
funimp_s:
lea 4+EXC_EA(%a6),%a0 # load old a7'
mov.l %a0,EXC_A7(%a6) # store a7'
mov.l %a0,OLD_A7(%a6) # make a copy
funimp_cont:
# the FPIAR holds the "current PC" of the faulting instruction.
mov.l USER_FPIAR(%a6),EXC_EXTWPTR(%a6)
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch the instruction words
mov.l %d0,EXC_OPWORD(%a6)
############################################################################
fmov.l &0x0,%fpcr # clear FPCR
fmov.l &0x0,%fpsr # clear FPSR
clr.b SPCOND_FLG(%a6) # clear "special case" flag
# Divide the fp instructions into 8 types based on the TYPE field in
# bits 6-8 of the opword(classes 6,7 are undefined).
# (for the '060, only two types can take this exception)
# bftst %d0{&7:&3} # test TYPE
btst &22,%d0 # type 0 or 1 ?
bne.w funimp_misc # type 1
#########################################
# TYPE == 0: General instructions #
#########################################
funimp_gen:
clr.b STORE_FLG(%a6) # clear "store result" flag
# clear the ccode byte and exception status byte
andi.l &0x00ff00ff,USER_FPSR(%a6)
bfextu %d0{&16:&6},%d1 # extract upper 6 of cmdreg
cmpi.b %d1,&0x17 # is op an fmovecr?
beq.w funimp_fmovcr # yes
funimp_gen_op:
bsr.l _load_fop # load
clr.l %d0
mov.b FPCR_MODE(%a6),%d0 # fetch rnd mode
mov.b 1+EXC_CMDREG(%a6),%d1
andi.w &0x003f,%d1 # extract extension bits
lsl.w &0x3,%d1 # shift right 3 bits
or.b STAG(%a6),%d1 # insert src optag bits
lea FP_DST(%a6),%a1 # pass dst ptr in a1
lea FP_SRC(%a6),%a0 # pass src ptr in a0
mov.w (tbl_trans.w,%pc,%d1.w*2),%d1
jsr (tbl_trans.w,%pc,%d1.w*1) # emulate
funimp_fsave:
mov.b FPCR_ENABLE(%a6),%d0 # fetch exceptions enabled
bne.w funimp_ena # some are enabled
funimp_store:
bfextu EXC_CMDREG(%a6){&6:&3},%d0 # fetch Dn
bsr.l store_fpreg # store result to fp regfile
funimp_gen_exit:
fmovm.x EXC_FP0(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
funimp_gen_exit_cmp:
cmpi.b SPCOND_FLG(%a6),&mia7_flg # was the ea mode (sp)+ ?
beq.b funimp_gen_exit_a7 # yes
cmpi.b SPCOND_FLG(%a6),&mda7_flg # was the ea mode -(sp) ?
beq.b funimp_gen_exit_a7 # yes
funimp_gen_exit_cont:
unlk %a6
funimp_gen_exit_cont2:
btst &0x7,(%sp) # is trace on?
beq.l _fpsp_done # no
# this catches a problem with the case where an exception will be re-inserted
# into the machine. the frestore has already been executed...so, the fmov.l
# alone of the control register would trigger an unwanted exception.
# until I feel like fixing this, we'll sidestep the exception.
fsave -(%sp)
fmov.l %fpiar,0x14(%sp) # "Current PC" is in FPIAR
frestore (%sp)+
mov.w &0x2024,0x6(%sp) # stk fmt = 0x2; voff = 0x24
bra.l _real_trace
funimp_gen_exit_a7:
btst &0x5,EXC_SR(%a6) # supervisor or user mode?
bne.b funimp_gen_exit_a7_s # supervisor
mov.l %a0,-(%sp)
mov.l EXC_A7(%a6),%a0
mov.l %a0,%usp
mov.l (%sp)+,%a0
bra.b funimp_gen_exit_cont
# if the instruction was executed from supervisor mode and the addressing
# mode was (a7)+, then the stack frame for the rte must be shifted "up"
# "n" bytes where "n" is the size of the src operand type.
# f<op>.{b,w,l,s,d,x,p}
funimp_gen_exit_a7_s:
mov.l %d0,-(%sp) # save d0
mov.l EXC_A7(%a6),%d0 # load new a7'
sub.l OLD_A7(%a6),%d0 # subtract old a7'
mov.l 0x2+EXC_PC(%a6),(0x2+EXC_PC,%a6,%d0) # shift stack frame
mov.l EXC_SR(%a6),(EXC_SR,%a6,%d0) # shift stack frame
mov.w %d0,EXC_SR(%a6) # store incr number
mov.l (%sp)+,%d0 # restore d0
unlk %a6
add.w (%sp),%sp # stack frame shifted
bra.b funimp_gen_exit_cont2
######################
# fmovecr.x #ccc,fpn #
######################
funimp_fmovcr:
clr.l %d0
mov.b FPCR_MODE(%a6),%d0
mov.b 1+EXC_CMDREG(%a6),%d1
andi.l &0x0000007f,%d1 # pass rom offset in d1
bsr.l smovcr
bra.w funimp_fsave
#########################################################################
#
# the user has enabled some exceptions. we figure not to see this too
# often so that's why it gets lower priority.
#
funimp_ena:
# was an exception set that was also enabled?
and.b FPSR_EXCEPT(%a6),%d0 # keep only ones enabled and set
bfffo %d0{&24:&8},%d0 # find highest priority exception
bne.b funimp_exc # at least one was set
# no exception that was enabled was set BUT if we got an exact overflow
# and overflow wasn't enabled but inexact was (yech!) then this is
# an inexact exception; otherwise, return to normal non-exception flow.
btst &ovfl_bit,FPSR_EXCEPT(%a6) # did overflow occur?
beq.w funimp_store # no; return to normal flow
# the overflow w/ exact result happened but was inexact set in the FPCR?
funimp_ovfl:
btst &inex2_bit,FPCR_ENABLE(%a6) # is inexact enabled?
beq.w funimp_store # no; return to normal flow
bra.b funimp_exc_ovfl # yes
# some exception happened that was actually enabled.
# we'll insert this new exception into the FPU and then return.
funimp_exc:
subi.l &24,%d0 # fix offset to be 0-8
cmpi.b %d0,&0x6 # is exception INEX?
bne.b funimp_exc_force # no
# the enabled exception was inexact. so, if it occurs with an overflow
# or underflow that was disabled, then we have to force an overflow or
# underflow frame. the eventual overflow or underflow handler will see that
# it's actually an inexact and act appropriately. this is the only easy
# way to have the EXOP available for the enabled inexact handler when
# a disabled overflow or underflow has also happened.
btst &ovfl_bit,FPSR_EXCEPT(%a6) # did overflow occur?
bne.b funimp_exc_ovfl # yes
btst &unfl_bit,FPSR_EXCEPT(%a6) # did underflow occur?
bne.b funimp_exc_unfl # yes
# force the fsave exception status bits to signal an exception of the
# appropriate type. don't forget to "skew" the source operand in case we
# "unskewed" the one the hardware initially gave us.
funimp_exc_force:
mov.l %d0,-(%sp) # save d0
bsr.l funimp_skew # check for special case
mov.l (%sp)+,%d0 # restore d0
mov.w (tbl_funimp_except.b,%pc,%d0.w*2),2+FP_SRC(%a6)
bra.b funimp_gen_exit2 # exit with frestore
tbl_funimp_except:
short 0xe002, 0xe006, 0xe004, 0xe005
short 0xe003, 0xe002, 0xe001, 0xe001
# insert an overflow frame
funimp_exc_ovfl:
bsr.l funimp_skew # check for special case
mov.w &0xe005,2+FP_SRC(%a6)
bra.b funimp_gen_exit2
# insert an underflow frame
funimp_exc_unfl:
bsr.l funimp_skew # check for special case
mov.w &0xe003,2+FP_SRC(%a6)
# this is the general exit point for an enabled exception that will be
# restored into the machine for the instruction just emulated.
funimp_gen_exit2:
fmovm.x EXC_FP0(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6) # insert exceptional status
bra.w funimp_gen_exit_cmp
############################################################################
#
# TYPE == 1: FDB<cc>, FS<cc>, FTRAP<cc>
#
# These instructions were implemented on the '881/2 and '040 in hardware but
# are emulated in software on the '060.
#
funimp_misc:
bfextu %d0{&10:&3},%d1 # extract mode field
cmpi.b %d1,&0x1 # is it an fdb<cc>?
beq.w funimp_fdbcc # yes
cmpi.b %d1,&0x7 # is it an fs<cc>?
bne.w funimp_fscc # yes
bfextu %d0{&13:&3},%d1
cmpi.b %d1,&0x2 # is it an fs<cc>?
blt.w funimp_fscc # yes
#########################
# ftrap<cc> #
# ftrap<cc>.w #<data> #
# ftrap<cc>.l #<data> #
#########################
funimp_ftrapcc:
bsr.l _ftrapcc # FTRAP<cc>()
cmpi.b SPCOND_FLG(%a6),&fbsun_flg # is enabled bsun occurring?
beq.w funimp_bsun # yes
cmpi.b SPCOND_FLG(%a6),&ftrapcc_flg # should a trap occur?
bne.w funimp_done # no
# FP UNIMP FRAME TRAP FRAME
# ***************** *****************
# ** <EA> ** ** Current PC **
# ***************** *****************
# * 0x2 * 0x02c * * 0x2 * 0x01c *
# ***************** *****************
# ** Next PC ** ** Next PC **
# ***************** *****************
# * SR * * SR *
# ***************** *****************
# (6 words) (6 words)
#
# the ftrapcc instruction should take a trap. so, here we must create a
# trap stack frame from an unimplemented fp instruction stack frame and
# jump to the user supplied entry point for the trap exception
funimp_ftrapcc_tp:
mov.l USER_FPIAR(%a6),EXC_EA(%a6) # Address = Current PC
mov.w &0x201c,EXC_VOFF(%a6) # Vector Offset = 0x01c
fmovm.x EXC_FP0(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
bra.l _real_trap
#########################
# fdb<cc> Dn,<label> #
#########################
funimp_fdbcc:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word # read displacement
tst.l %d1 # did ifetch fail?
bne.w funimp_iacc # yes
ext.l %d0 # sign extend displacement
bsr.l _fdbcc # FDB<cc>()
cmpi.b SPCOND_FLG(%a6),&fbsun_flg # is enabled bsun occurring?
beq.w funimp_bsun
bra.w funimp_done # branch to finish
#################
# fs<cc>.b <ea> #
#################
funimp_fscc:
bsr.l _fscc # FS<cc>()
# I am assuming here that an "fs<cc>.b -(An)" or "fs<cc>.b (An)+" instruction
# does not need to update "An" before taking a bsun exception.
cmpi.b SPCOND_FLG(%a6),&fbsun_flg # is enabled bsun occurring?
beq.w funimp_bsun
btst &0x5,EXC_SR(%a6) # yes; is it a user mode exception?
bne.b funimp_fscc_s # no
funimp_fscc_u:
mov.l EXC_A7(%a6),%a0 # yes; set new USP
mov.l %a0,%usp
bra.w funimp_done # branch to finish
# remember, I'm assuming that post-increment is bogus...(it IS!!!)
# so, the least significant WORD of the stacked effective address got
# overwritten by the "fs<cc> -(An)". We must shift the stack frame "down"
# so that the rte will work correctly without destroying the result.
# even though the operation size is byte, the stack ptr is decr by 2.
#
# remember, also, this instruction may be traced.
funimp_fscc_s:
cmpi.b SPCOND_FLG(%a6),&mda7_flg # was a7 modified?
bne.w funimp_done # no
fmovm.x EXC_FP0(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
btst &0x7,(%sp) # is trace enabled?
bne.b funimp_fscc_s_trace # yes
subq.l &0x2,%sp
mov.l 0x2(%sp),(%sp) # shift SR,hi(PC) "down"
mov.l 0x6(%sp),0x4(%sp) # shift lo(PC),voff "down"
bra.l _fpsp_done
funimp_fscc_s_trace:
subq.l &0x2,%sp
mov.l 0x2(%sp),(%sp) # shift SR,hi(PC) "down"
mov.w 0x6(%sp),0x4(%sp) # shift lo(PC)
mov.w &0x2024,0x6(%sp) # fmt/voff = $2024
fmov.l %fpiar,0x8(%sp) # insert "current PC"
bra.l _real_trace
#
# The ftrap<cc>, fs<cc>, or fdb<cc> is to take an enabled bsun. we must convert
# the fp unimplemented instruction exception stack frame into a bsun stack frame,
# restore a bsun exception into the machine, and branch to the user
# supplied bsun hook.
#
# FP UNIMP FRAME BSUN FRAME
# ***************** *****************
# ** <EA> ** * 0x0 * 0x0c0 *
# ***************** *****************
# * 0x2 * 0x02c * ** Current PC **
# ***************** *****************
# ** Next PC ** * SR *
# ***************** *****************
# * SR * (4 words)
# *****************
# (6 words)
#
funimp_bsun:
mov.w &0x00c0,2+EXC_EA(%a6) # Fmt = 0x0; Vector Offset = 0x0c0
mov.l USER_FPIAR(%a6),EXC_VOFF(%a6) # PC = Current PC
mov.w EXC_SR(%a6),2+EXC_PC(%a6) # shift SR "up"
mov.w &0xe000,2+FP_SRC(%a6) # bsun exception enabled
fmovm.x EXC_FP0(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
frestore FP_SRC(%a6) # restore bsun exception
unlk %a6
addq.l &0x4,%sp # erase sludge
bra.l _real_bsun # branch to user bsun hook
#
# all ftrapcc/fscc/fdbcc processing has been completed. unwind the stack frame
# and return.
#
# as usual, we have to check for trace mode being on here. since instructions
# modifying the supervisor stack frame don't pass through here, this is a
# relatively easy task.
#
funimp_done:
fmovm.x EXC_FP0(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
btst &0x7,(%sp) # is trace enabled?
bne.b funimp_trace # yes
bra.l _fpsp_done
# FP UNIMP FRAME TRACE FRAME
# ***************** *****************
# ** <EA> ** ** Current PC **
# ***************** *****************
# * 0x2 * 0x02c * * 0x2 * 0x024 *
# ***************** *****************
# ** Next PC ** ** Next PC **
# ***************** *****************
# * SR * * SR *
# ***************** *****************
# (6 words) (6 words)
#
# the fscc instruction should take a trace trap. so, here we must create a
# trace stack frame from an unimplemented fp instruction stack frame and
# jump to the user supplied entry point for the trace exception
funimp_trace:
fmov.l %fpiar,0x8(%sp) # current PC is in fpiar
mov.b &0x24,0x7(%sp) # vector offset = 0x024
bra.l _real_trace
################################################################
global tbl_trans
swbeg &0x1c0
tbl_trans:
short tbl_trans - tbl_trans # $00-0 fmovecr all
short tbl_trans - tbl_trans # $00-1 fmovecr all
short tbl_trans - tbl_trans # $00-2 fmovecr all
short tbl_trans - tbl_trans # $00-3 fmovecr all
short tbl_trans - tbl_trans # $00-4 fmovecr all
short tbl_trans - tbl_trans # $00-5 fmovecr all
short tbl_trans - tbl_trans # $00-6 fmovecr all
short tbl_trans - tbl_trans # $00-7 fmovecr all
short tbl_trans - tbl_trans # $01-0 fint norm
short tbl_trans - tbl_trans # $01-1 fint zero
short tbl_trans - tbl_trans # $01-2 fint inf
short tbl_trans - tbl_trans # $01-3 fint qnan
short tbl_trans - tbl_trans # $01-5 fint denorm
short tbl_trans - tbl_trans # $01-4 fint snan
short tbl_trans - tbl_trans # $01-6 fint unnorm
short tbl_trans - tbl_trans # $01-7 ERROR
short ssinh - tbl_trans # $02-0 fsinh norm
short src_zero - tbl_trans # $02-1 fsinh zero
short src_inf - tbl_trans # $02-2 fsinh inf
short src_qnan - tbl_trans # $02-3 fsinh qnan
short ssinhd - tbl_trans # $02-5 fsinh denorm
short src_snan - tbl_trans # $02-4 fsinh snan
short tbl_trans - tbl_trans # $02-6 fsinh unnorm
short tbl_trans - tbl_trans # $02-7 ERROR
short tbl_trans - tbl_trans # $03-0 fintrz norm
short tbl_trans - tbl_trans # $03-1 fintrz zero
short tbl_trans - tbl_trans # $03-2 fintrz inf
short tbl_trans - tbl_trans # $03-3 fintrz qnan
short tbl_trans - tbl_trans # $03-5 fintrz denorm
short tbl_trans - tbl_trans # $03-4 fintrz snan
short tbl_trans - tbl_trans # $03-6 fintrz unnorm
short tbl_trans - tbl_trans # $03-7 ERROR
short tbl_trans - tbl_trans # $04-0 fsqrt norm
short tbl_trans - tbl_trans # $04-1 fsqrt zero
short tbl_trans - tbl_trans # $04-2 fsqrt inf
short tbl_trans - tbl_trans # $04-3 fsqrt qnan
short tbl_trans - tbl_trans # $04-5 fsqrt denorm
short tbl_trans - tbl_trans # $04-4 fsqrt snan
short tbl_trans - tbl_trans # $04-6 fsqrt unnorm
short tbl_trans - tbl_trans # $04-7 ERROR
short tbl_trans - tbl_trans # $05-0 ERROR
short tbl_trans - tbl_trans # $05-1 ERROR
short tbl_trans - tbl_trans # $05-2 ERROR
short tbl_trans - tbl_trans # $05-3 ERROR
short tbl_trans - tbl_trans # $05-4 ERROR
short tbl_trans - tbl_trans # $05-5 ERROR
short tbl_trans - tbl_trans # $05-6 ERROR
short tbl_trans - tbl_trans # $05-7 ERROR
short slognp1 - tbl_trans # $06-0 flognp1 norm
short src_zero - tbl_trans # $06-1 flognp1 zero
short sopr_inf - tbl_trans # $06-2 flognp1 inf
short src_qnan - tbl_trans # $06-3 flognp1 qnan
short slognp1d - tbl_trans # $06-5 flognp1 denorm
short src_snan - tbl_trans # $06-4 flognp1 snan
short tbl_trans - tbl_trans # $06-6 flognp1 unnorm
short tbl_trans - tbl_trans # $06-7 ERROR
short tbl_trans - tbl_trans # $07-0 ERROR
short tbl_trans - tbl_trans # $07-1 ERROR
short tbl_trans - tbl_trans # $07-2 ERROR
short tbl_trans - tbl_trans # $07-3 ERROR
short tbl_trans - tbl_trans # $07-4 ERROR
short tbl_trans - tbl_trans # $07-5 ERROR
short tbl_trans - tbl_trans # $07-6 ERROR
short tbl_trans - tbl_trans # $07-7 ERROR
short setoxm1 - tbl_trans # $08-0 fetoxm1 norm
short src_zero - tbl_trans # $08-1 fetoxm1 zero
short setoxm1i - tbl_trans # $08-2 fetoxm1 inf
short src_qnan - tbl_trans # $08-3 fetoxm1 qnan
short setoxm1d - tbl_trans # $08-5 fetoxm1 denorm
short src_snan - tbl_trans # $08-4 fetoxm1 snan
short tbl_trans - tbl_trans # $08-6 fetoxm1 unnorm
short tbl_trans - tbl_trans # $08-7 ERROR
short stanh - tbl_trans # $09-0 ftanh norm
short src_zero - tbl_trans # $09-1 ftanh zero
short src_one - tbl_trans # $09-2 ftanh inf
short src_qnan - tbl_trans # $09-3 ftanh qnan
short stanhd - tbl_trans # $09-5 ftanh denorm
short src_snan - tbl_trans # $09-4 ftanh snan
short tbl_trans - tbl_trans # $09-6 ftanh unnorm
short tbl_trans - tbl_trans # $09-7 ERROR
short satan - tbl_trans # $0a-0 fatan norm
short src_zero - tbl_trans # $0a-1 fatan zero
short spi_2 - tbl_trans # $0a-2 fatan inf
short src_qnan - tbl_trans # $0a-3 fatan qnan
short satand - tbl_trans # $0a-5 fatan denorm
short src_snan - tbl_trans # $0a-4 fatan snan
short tbl_trans - tbl_trans # $0a-6 fatan unnorm
short tbl_trans - tbl_trans # $0a-7 ERROR
short tbl_trans - tbl_trans # $0b-0 ERROR
short tbl_trans - tbl_trans # $0b-1 ERROR
short tbl_trans - tbl_trans # $0b-2 ERROR
short tbl_trans - tbl_trans # $0b-3 ERROR
short tbl_trans - tbl_trans # $0b-4 ERROR
short tbl_trans - tbl_trans # $0b-5 ERROR
short tbl_trans - tbl_trans # $0b-6 ERROR
short tbl_trans - tbl_trans # $0b-7 ERROR
short sasin - tbl_trans # $0c-0 fasin norm
short src_zero - tbl_trans # $0c-1 fasin zero
short t_operr - tbl_trans # $0c-2 fasin inf
short src_qnan - tbl_trans # $0c-3 fasin qnan
short sasind - tbl_trans # $0c-5 fasin denorm
short src_snan - tbl_trans # $0c-4 fasin snan
short tbl_trans - tbl_trans # $0c-6 fasin unnorm
short tbl_trans - tbl_trans # $0c-7 ERROR
short satanh - tbl_trans # $0d-0 fatanh norm
short src_zero - tbl_trans # $0d-1 fatanh zero
short t_operr - tbl_trans # $0d-2 fatanh inf
short src_qnan - tbl_trans # $0d-3 fatanh qnan
short satanhd - tbl_trans # $0d-5 fatanh denorm
short src_snan - tbl_trans # $0d-4 fatanh snan
short tbl_trans - tbl_trans # $0d-6 fatanh unnorm
short tbl_trans - tbl_trans # $0d-7 ERROR
short ssin - tbl_trans # $0e-0 fsin norm
short src_zero - tbl_trans # $0e-1 fsin zero
short t_operr - tbl_trans # $0e-2 fsin inf
short src_qnan - tbl_trans # $0e-3 fsin qnan
short ssind - tbl_trans # $0e-5 fsin denorm
short src_snan - tbl_trans # $0e-4 fsin snan
short tbl_trans - tbl_trans # $0e-6 fsin unnorm
short tbl_trans - tbl_trans # $0e-7 ERROR
short stan - tbl_trans # $0f-0 ftan norm
short src_zero - tbl_trans # $0f-1 ftan zero
short t_operr - tbl_trans # $0f-2 ftan inf
short src_qnan - tbl_trans # $0f-3 ftan qnan
short stand - tbl_trans # $0f-5 ftan denorm
short src_snan - tbl_trans # $0f-4 ftan snan
short tbl_trans - tbl_trans # $0f-6 ftan unnorm
short tbl_trans - tbl_trans # $0f-7 ERROR
short setox - tbl_trans # $10-0 fetox norm
short ld_pone - tbl_trans # $10-1 fetox zero
short szr_inf - tbl_trans # $10-2 fetox inf
short src_qnan - tbl_trans # $10-3 fetox qnan
short setoxd - tbl_trans # $10-5 fetox denorm
short src_snan - tbl_trans # $10-4 fetox snan
short tbl_trans - tbl_trans # $10-6 fetox unnorm
short tbl_trans - tbl_trans # $10-7 ERROR
short stwotox - tbl_trans # $11-0 ftwotox norm
short ld_pone - tbl_trans # $11-1 ftwotox zero
short szr_inf - tbl_trans # $11-2 ftwotox inf
short src_qnan - tbl_trans # $11-3 ftwotox qnan
short stwotoxd - tbl_trans # $11-5 ftwotox denorm
short src_snan - tbl_trans # $11-4 ftwotox snan
short tbl_trans - tbl_trans # $11-6 ftwotox unnorm
short tbl_trans - tbl_trans # $11-7 ERROR
short stentox - tbl_trans # $12-0 ftentox norm
short ld_pone - tbl_trans # $12-1 ftentox zero
short szr_inf - tbl_trans # $12-2 ftentox inf
short src_qnan - tbl_trans # $12-3 ftentox qnan
short stentoxd - tbl_trans # $12-5 ftentox denorm
short src_snan - tbl_trans # $12-4 ftentox snan
short tbl_trans - tbl_trans # $12-6 ftentox unnorm
short tbl_trans - tbl_trans # $12-7 ERROR
short tbl_trans - tbl_trans # $13-0 ERROR
short tbl_trans - tbl_trans # $13-1 ERROR
short tbl_trans - tbl_trans # $13-2 ERROR
short tbl_trans - tbl_trans # $13-3 ERROR
short tbl_trans - tbl_trans # $13-4 ERROR
short tbl_trans - tbl_trans # $13-5 ERROR
short tbl_trans - tbl_trans # $13-6 ERROR
short tbl_trans - tbl_trans # $13-7 ERROR
short slogn - tbl_trans # $14-0 flogn norm
short t_dz2 - tbl_trans # $14-1 flogn zero
short sopr_inf - tbl_trans # $14-2 flogn inf
short src_qnan - tbl_trans # $14-3 flogn qnan
short slognd - tbl_trans # $14-5 flogn denorm
short src_snan - tbl_trans # $14-4 flogn snan
short tbl_trans - tbl_trans # $14-6 flogn unnorm
short tbl_trans - tbl_trans # $14-7 ERROR
short slog10 - tbl_trans # $15-0 flog10 norm
short t_dz2 - tbl_trans # $15-1 flog10 zero
short sopr_inf - tbl_trans # $15-2 flog10 inf
short src_qnan - tbl_trans # $15-3 flog10 qnan
short slog10d - tbl_trans # $15-5 flog10 denorm
short src_snan - tbl_trans # $15-4 flog10 snan
short tbl_trans - tbl_trans # $15-6 flog10 unnorm
short tbl_trans - tbl_trans # $15-7 ERROR
short slog2 - tbl_trans # $16-0 flog2 norm
short t_dz2 - tbl_trans # $16-1 flog2 zero
short sopr_inf - tbl_trans # $16-2 flog2 inf
short src_qnan - tbl_trans # $16-3 flog2 qnan
short slog2d - tbl_trans # $16-5 flog2 denorm
short src_snan - tbl_trans # $16-4 flog2 snan
short tbl_trans - tbl_trans # $16-6 flog2 unnorm
short tbl_trans - tbl_trans # $16-7 ERROR
short tbl_trans - tbl_trans # $17-0 ERROR
short tbl_trans - tbl_trans # $17-1 ERROR
short tbl_trans - tbl_trans # $17-2 ERROR
short tbl_trans - tbl_trans # $17-3 ERROR
short tbl_trans - tbl_trans # $17-4 ERROR
short tbl_trans - tbl_trans # $17-5 ERROR
short tbl_trans - tbl_trans # $17-6 ERROR
short tbl_trans - tbl_trans # $17-7 ERROR
short tbl_trans - tbl_trans # $18-0 fabs norm
short tbl_trans - tbl_trans # $18-1 fabs zero
short tbl_trans - tbl_trans # $18-2 fabs inf
short tbl_trans - tbl_trans # $18-3 fabs qnan
short tbl_trans - tbl_trans # $18-5 fabs denorm
short tbl_trans - tbl_trans # $18-4 fabs snan
short tbl_trans - tbl_trans # $18-6 fabs unnorm
short tbl_trans - tbl_trans # $18-7 ERROR
short scosh - tbl_trans # $19-0 fcosh norm
short ld_pone - tbl_trans # $19-1 fcosh zero
short ld_pinf - tbl_trans # $19-2 fcosh inf
short src_qnan - tbl_trans # $19-3 fcosh qnan
short scoshd - tbl_trans # $19-5 fcosh denorm
short src_snan - tbl_trans # $19-4 fcosh snan
short tbl_trans - tbl_trans # $19-6 fcosh unnorm
short tbl_trans - tbl_trans # $19-7 ERROR
short tbl_trans - tbl_trans # $1a-0 fneg norm
short tbl_trans - tbl_trans # $1a-1 fneg zero
short tbl_trans - tbl_trans # $1a-2 fneg inf
short tbl_trans - tbl_trans # $1a-3 fneg qnan
short tbl_trans - tbl_trans # $1a-5 fneg denorm
short tbl_trans - tbl_trans # $1a-4 fneg snan
short tbl_trans - tbl_trans # $1a-6 fneg unnorm
short tbl_trans - tbl_trans # $1a-7 ERROR
short tbl_trans - tbl_trans # $1b-0 ERROR
short tbl_trans - tbl_trans # $1b-1 ERROR
short tbl_trans - tbl_trans # $1b-2 ERROR
short tbl_trans - tbl_trans # $1b-3 ERROR
short tbl_trans - tbl_trans # $1b-4 ERROR
short tbl_trans - tbl_trans # $1b-5 ERROR
short tbl_trans - tbl_trans # $1b-6 ERROR
short tbl_trans - tbl_trans # $1b-7 ERROR
short sacos - tbl_trans # $1c-0 facos norm
short ld_ppi2 - tbl_trans # $1c-1 facos zero
short t_operr - tbl_trans # $1c-2 facos inf
short src_qnan - tbl_trans # $1c-3 facos qnan
short sacosd - tbl_trans # $1c-5 facos denorm
short src_snan - tbl_trans # $1c-4 facos snan
short tbl_trans - tbl_trans # $1c-6 facos unnorm
short tbl_trans - tbl_trans # $1c-7 ERROR
short scos - tbl_trans # $1d-0 fcos norm
short ld_pone - tbl_trans # $1d-1 fcos zero
short t_operr - tbl_trans # $1d-2 fcos inf
short src_qnan - tbl_trans # $1d-3 fcos qnan
short scosd - tbl_trans # $1d-5 fcos denorm
short src_snan - tbl_trans # $1d-4 fcos snan
short tbl_trans - tbl_trans # $1d-6 fcos unnorm
short tbl_trans - tbl_trans # $1d-7 ERROR
short sgetexp - tbl_trans # $1e-0 fgetexp norm
short src_zero - tbl_trans # $1e-1 fgetexp zero
short t_operr - tbl_trans # $1e-2 fgetexp inf
short src_qnan - tbl_trans # $1e-3 fgetexp qnan
short sgetexpd - tbl_trans # $1e-5 fgetexp denorm
short src_snan - tbl_trans # $1e-4 fgetexp snan
short tbl_trans - tbl_trans # $1e-6 fgetexp unnorm
short tbl_trans - tbl_trans # $1e-7 ERROR
short sgetman - tbl_trans # $1f-0 fgetman norm
short src_zero - tbl_trans # $1f-1 fgetman zero
short t_operr - tbl_trans # $1f-2 fgetman inf
short src_qnan - tbl_trans # $1f-3 fgetman qnan
short sgetmand - tbl_trans # $1f-5 fgetman denorm
short src_snan - tbl_trans # $1f-4 fgetman snan
short tbl_trans - tbl_trans # $1f-6 fgetman unnorm
short tbl_trans - tbl_trans # $1f-7 ERROR
short tbl_trans - tbl_trans # $20-0 fdiv norm
short tbl_trans - tbl_trans # $20-1 fdiv zero
short tbl_trans - tbl_trans # $20-2 fdiv inf
short tbl_trans - tbl_trans # $20-3 fdiv qnan
short tbl_trans - tbl_trans # $20-5 fdiv denorm
short tbl_trans - tbl_trans # $20-4 fdiv snan
short tbl_trans - tbl_trans # $20-6 fdiv unnorm
short tbl_trans - tbl_trans # $20-7 ERROR
short smod_snorm - tbl_trans # $21-0 fmod norm
short smod_szero - tbl_trans # $21-1 fmod zero
short smod_sinf - tbl_trans # $21-2 fmod inf
short sop_sqnan - tbl_trans # $21-3 fmod qnan
short smod_sdnrm - tbl_trans # $21-5 fmod denorm
short sop_ssnan - tbl_trans # $21-4 fmod snan
short tbl_trans - tbl_trans # $21-6 fmod unnorm
short tbl_trans - tbl_trans # $21-7 ERROR
short tbl_trans - tbl_trans # $22-0 fadd norm
short tbl_trans - tbl_trans # $22-1 fadd zero
short tbl_trans - tbl_trans # $22-2 fadd inf
short tbl_trans - tbl_trans # $22-3 fadd qnan
short tbl_trans - tbl_trans # $22-5 fadd denorm
short tbl_trans - tbl_trans # $22-4 fadd snan
short tbl_trans - tbl_trans # $22-6 fadd unnorm
short tbl_trans - tbl_trans # $22-7 ERROR
short tbl_trans - tbl_trans # $23-0 fmul norm
short tbl_trans - tbl_trans # $23-1 fmul zero
short tbl_trans - tbl_trans # $23-2 fmul inf
short tbl_trans - tbl_trans # $23-3 fmul qnan
short tbl_trans - tbl_trans # $23-5 fmul denorm
short tbl_trans - tbl_trans # $23-4 fmul snan
short tbl_trans - tbl_trans # $23-6 fmul unnorm
short tbl_trans - tbl_trans # $23-7 ERROR
short tbl_trans - tbl_trans # $24-0 fsgldiv norm
short tbl_trans - tbl_trans # $24-1 fsgldiv zero
short tbl_trans - tbl_trans # $24-2 fsgldiv inf
short tbl_trans - tbl_trans # $24-3 fsgldiv qnan
short tbl_trans - tbl_trans # $24-5 fsgldiv denorm
short tbl_trans - tbl_trans # $24-4 fsgldiv snan
short tbl_trans - tbl_trans # $24-6 fsgldiv unnorm
short tbl_trans - tbl_trans # $24-7 ERROR
short srem_snorm - tbl_trans # $25-0 frem norm
short srem_szero - tbl_trans # $25-1 frem zero
short srem_sinf - tbl_trans # $25-2 frem inf
short sop_sqnan - tbl_trans # $25-3 frem qnan
short srem_sdnrm - tbl_trans # $25-5 frem denorm
short sop_ssnan - tbl_trans # $25-4 frem snan
short tbl_trans - tbl_trans # $25-6 frem unnorm
short tbl_trans - tbl_trans # $25-7 ERROR
short sscale_snorm - tbl_trans # $26-0 fscale norm
short sscale_szero - tbl_trans # $26-1 fscale zero
short sscale_sinf - tbl_trans # $26-2 fscale inf
short sop_sqnan - tbl_trans # $26-3 fscale qnan
short sscale_sdnrm - tbl_trans # $26-5 fscale denorm
short sop_ssnan - tbl_trans # $26-4 fscale snan
short tbl_trans - tbl_trans # $26-6 fscale unnorm
short tbl_trans - tbl_trans # $26-7 ERROR
short tbl_trans - tbl_trans # $27-0 fsglmul norm
short tbl_trans - tbl_trans # $27-1 fsglmul zero
short tbl_trans - tbl_trans # $27-2 fsglmul inf
short tbl_trans - tbl_trans # $27-3 fsglmul qnan
short tbl_trans - tbl_trans # $27-5 fsglmul denorm
short tbl_trans - tbl_trans # $27-4 fsglmul snan
short tbl_trans - tbl_trans # $27-6 fsglmul unnorm
short tbl_trans - tbl_trans # $27-7 ERROR
short tbl_trans - tbl_trans # $28-0 fsub norm
short tbl_trans - tbl_trans # $28-1 fsub zero
short tbl_trans - tbl_trans # $28-2 fsub inf
short tbl_trans - tbl_trans # $28-3 fsub qnan
short tbl_trans - tbl_trans # $28-5 fsub denorm
short tbl_trans - tbl_trans # $28-4 fsub snan
short tbl_trans - tbl_trans # $28-6 fsub unnorm
short tbl_trans - tbl_trans # $28-7 ERROR
short tbl_trans - tbl_trans # $29-0 ERROR
short tbl_trans - tbl_trans # $29-1 ERROR
short tbl_trans - tbl_trans # $29-2 ERROR
short tbl_trans - tbl_trans # $29-3 ERROR
short tbl_trans - tbl_trans # $29-4 ERROR
short tbl_trans - tbl_trans # $29-5 ERROR
short tbl_trans - tbl_trans # $29-6 ERROR
short tbl_trans - tbl_trans # $29-7 ERROR
short tbl_trans - tbl_trans # $2a-0 ERROR
short tbl_trans - tbl_trans # $2a-1 ERROR
short tbl_trans - tbl_trans # $2a-2 ERROR
short tbl_trans - tbl_trans # $2a-3 ERROR
short tbl_trans - tbl_trans # $2a-4 ERROR
short tbl_trans - tbl_trans # $2a-5 ERROR
short tbl_trans - tbl_trans # $2a-6 ERROR
short tbl_trans - tbl_trans # $2a-7 ERROR
short tbl_trans - tbl_trans # $2b-0 ERROR
short tbl_trans - tbl_trans # $2b-1 ERROR
short tbl_trans - tbl_trans # $2b-2 ERROR
short tbl_trans - tbl_trans # $2b-3 ERROR
short tbl_trans - tbl_trans # $2b-4 ERROR
short tbl_trans - tbl_trans # $2b-5 ERROR
short tbl_trans - tbl_trans # $2b-6 ERROR
short tbl_trans - tbl_trans # $2b-7 ERROR
short tbl_trans - tbl_trans # $2c-0 ERROR
short tbl_trans - tbl_trans # $2c-1 ERROR
short tbl_trans - tbl_trans # $2c-2 ERROR
short tbl_trans - tbl_trans # $2c-3 ERROR
short tbl_trans - tbl_trans # $2c-4 ERROR
short tbl_trans - tbl_trans # $2c-5 ERROR
short tbl_trans - tbl_trans # $2c-6 ERROR
short tbl_trans - tbl_trans # $2c-7 ERROR
short tbl_trans - tbl_trans # $2d-0 ERROR
short tbl_trans - tbl_trans # $2d-1 ERROR
short tbl_trans - tbl_trans # $2d-2 ERROR
short tbl_trans - tbl_trans # $2d-3 ERROR
short tbl_trans - tbl_trans # $2d-4 ERROR
short tbl_trans - tbl_trans # $2d-5 ERROR
short tbl_trans - tbl_trans # $2d-6 ERROR
short tbl_trans - tbl_trans # $2d-7 ERROR
short tbl_trans - tbl_trans # $2e-0 ERROR
short tbl_trans - tbl_trans # $2e-1 ERROR
short tbl_trans - tbl_trans # $2e-2 ERROR
short tbl_trans - tbl_trans # $2e-3 ERROR
short tbl_trans - tbl_trans # $2e-4 ERROR
short tbl_trans - tbl_trans # $2e-5 ERROR
short tbl_trans - tbl_trans # $2e-6 ERROR
short tbl_trans - tbl_trans # $2e-7 ERROR
short tbl_trans - tbl_trans # $2f-0 ERROR
short tbl_trans - tbl_trans # $2f-1 ERROR
short tbl_trans - tbl_trans # $2f-2 ERROR
short tbl_trans - tbl_trans # $2f-3 ERROR
short tbl_trans - tbl_trans # $2f-4 ERROR
short tbl_trans - tbl_trans # $2f-5 ERROR
short tbl_trans - tbl_trans # $2f-6 ERROR
short tbl_trans - tbl_trans # $2f-7 ERROR
short ssincos - tbl_trans # $30-0 fsincos norm
short ssincosz - tbl_trans # $30-1 fsincos zero
short ssincosi - tbl_trans # $30-2 fsincos inf
short ssincosqnan - tbl_trans # $30-3 fsincos qnan
short ssincosd - tbl_trans # $30-5 fsincos denorm
short ssincossnan - tbl_trans # $30-4 fsincos snan
short tbl_trans - tbl_trans # $30-6 fsincos unnorm
short tbl_trans - tbl_trans # $30-7 ERROR
short ssincos - tbl_trans # $31-0 fsincos norm
short ssincosz - tbl_trans # $31-1 fsincos zero
short ssincosi - tbl_trans # $31-2 fsincos inf
short ssincosqnan - tbl_trans # $31-3 fsincos qnan
short ssincosd - tbl_trans # $31-5 fsincos denorm
short ssincossnan - tbl_trans # $31-4 fsincos snan
short tbl_trans - tbl_trans # $31-6 fsincos unnorm
short tbl_trans - tbl_trans # $31-7 ERROR
short ssincos - tbl_trans # $32-0 fsincos norm
short ssincosz - tbl_trans # $32-1 fsincos zero
short ssincosi - tbl_trans # $32-2 fsincos inf
short ssincosqnan - tbl_trans # $32-3 fsincos qnan
short ssincosd - tbl_trans # $32-5 fsincos denorm
short ssincossnan - tbl_trans # $32-4 fsincos snan
short tbl_trans - tbl_trans # $32-6 fsincos unnorm
short tbl_trans - tbl_trans # $32-7 ERROR
short ssincos - tbl_trans # $33-0 fsincos norm
short ssincosz - tbl_trans # $33-1 fsincos zero
short ssincosi - tbl_trans # $33-2 fsincos inf
short ssincosqnan - tbl_trans # $33-3 fsincos qnan
short ssincosd - tbl_trans # $33-5 fsincos denorm
short ssincossnan - tbl_trans # $33-4 fsincos snan
short tbl_trans - tbl_trans # $33-6 fsincos unnorm
short tbl_trans - tbl_trans # $33-7 ERROR
short ssincos - tbl_trans # $34-0 fsincos norm
short ssincosz - tbl_trans # $34-1 fsincos zero
short ssincosi - tbl_trans # $34-2 fsincos inf
short ssincosqnan - tbl_trans # $34-3 fsincos qnan
short ssincosd - tbl_trans # $34-5 fsincos denorm
short ssincossnan - tbl_trans # $34-4 fsincos snan
short tbl_trans - tbl_trans # $34-6 fsincos unnorm
short tbl_trans - tbl_trans # $34-7 ERROR
short ssincos - tbl_trans # $35-0 fsincos norm
short ssincosz - tbl_trans # $35-1 fsincos zero
short ssincosi - tbl_trans # $35-2 fsincos inf
short ssincosqnan - tbl_trans # $35-3 fsincos qnan
short ssincosd - tbl_trans # $35-5 fsincos denorm
short ssincossnan - tbl_trans # $35-4 fsincos snan
short tbl_trans - tbl_trans # $35-6 fsincos unnorm
short tbl_trans - tbl_trans # $35-7 ERROR
short ssincos - tbl_trans # $36-0 fsincos norm
short ssincosz - tbl_trans # $36-1 fsincos zero
short ssincosi - tbl_trans # $36-2 fsincos inf
short ssincosqnan - tbl_trans # $36-3 fsincos qnan
short ssincosd - tbl_trans # $36-5 fsincos denorm
short ssincossnan - tbl_trans # $36-4 fsincos snan
short tbl_trans - tbl_trans # $36-6 fsincos unnorm
short tbl_trans - tbl_trans # $36-7 ERROR
short ssincos - tbl_trans # $37-0 fsincos norm
short ssincosz - tbl_trans # $37-1 fsincos zero
short ssincosi - tbl_trans # $37-2 fsincos inf
short ssincosqnan - tbl_trans # $37-3 fsincos qnan
short ssincosd - tbl_trans # $37-5 fsincos denorm
short ssincossnan - tbl_trans # $37-4 fsincos snan
short tbl_trans - tbl_trans # $37-6 fsincos unnorm
short tbl_trans - tbl_trans # $37-7 ERROR
##########
# the instruction fetch access for the displacement word for the
# fdbcc emulation failed. here, we create an access error frame
# from the current frame and branch to _real_access().
funimp_iacc:
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
mov.l USER_FPIAR(%a6),EXC_PC(%a6) # store current PC
unlk %a6
mov.l (%sp),-(%sp) # store SR,hi(PC)
mov.w 0x8(%sp),0x4(%sp) # store lo(PC)
mov.w &0x4008,0x6(%sp) # store voff
mov.l 0x2(%sp),0x8(%sp) # store EA
mov.l &0x09428001,0xc(%sp) # store FSLW
btst &0x5,(%sp) # user or supervisor mode?
beq.b funimp_iacc_end # user
bset &0x2,0xd(%sp) # set supervisor TM bit
funimp_iacc_end:
bra.l _real_access
#########################################################################
# ssin(): computes the sine of a normalized input #
# ssind(): computes the sine of a denormalized input #
# scos(): computes the cosine of a normalized input #
# scosd(): computes the cosine of a denormalized input #
# ssincos(): computes the sine and cosine of a normalized input #
# ssincosd(): computes the sine and cosine of a denormalized input #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# d0 = round precision,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = sin(X) or cos(X) #
# #
# For ssincos(X): #
# fp0 = sin(X) #
# fp1 = cos(X) #
# #
# ACCURACY and MONOTONICITY ******************************************* #
# The returned result is within 1 ulp in 64 significant bit, i.e. #
# within 0.5001 ulp to 53 bits if the result is subsequently #
# rounded to double precision. The result is provably monotonic #
# in double precision. #
# #
# ALGORITHM *********************************************************** #
# #
# SIN and COS: #
# 1. If SIN is invoked, set AdjN := 0; otherwise, set AdjN := 1. #
# #
# 2. If |X| >= 15Pi or |X| < 2**(-40), go to 7. #
# #
# 3. Decompose X as X = N(Pi/2) + r where |r| <= Pi/4. Let #
# k = N mod 4, so in particular, k = 0,1,2,or 3. #
# Overwrite k by k := k + AdjN. #
# #
# 4. If k is even, go to 6. #
# #
# 5. (k is odd) Set j := (k-1)/2, sgn := (-1)**j. #
# Return sgn*cos(r) where cos(r) is approximated by an #
# even polynomial in r, 1 + r*r*(B1+s*(B2+ ... + s*B8)), #
# s = r*r. #
# Exit. #
# #
# 6. (k is even) Set j := k/2, sgn := (-1)**j. Return sgn*sin(r) #
# where sin(r) is approximated by an odd polynomial in r #
# r + r*s*(A1+s*(A2+ ... + s*A7)), s = r*r. #
# Exit. #
# #
# 7. If |X| > 1, go to 9. #
# #
# 8. (|X|<2**(-40)) If SIN is invoked, return X; #
# otherwise return 1. #
# #
# 9. Overwrite X by X := X rem 2Pi. Now that |X| <= Pi, #
# go back to 3. #
# #
# SINCOS: #
# 1. If |X| >= 15Pi or |X| < 2**(-40), go to 6. #
# #
# 2. Decompose X as X = N(Pi/2) + r where |r| <= Pi/4. Let #
# k = N mod 4, so in particular, k = 0,1,2,or 3. #
# #
# 3. If k is even, go to 5. #
# #
# 4. (k is odd) Set j1 := (k-1)/2, j2 := j1 (EOR) (k mod 2), ie. #
# j1 exclusive or with the l.s.b. of k. #
# sgn1 := (-1)**j1, sgn2 := (-1)**j2. #
# SIN(X) = sgn1 * cos(r) and COS(X) = sgn2*sin(r) where #
# sin(r) and cos(r) are computed as odd and even #
# polynomials in r, respectively. Exit #
# #
# 5. (k is even) Set j1 := k/2, sgn1 := (-1)**j1. #
# SIN(X) = sgn1 * sin(r) and COS(X) = sgn1*cos(r) where #
# sin(r) and cos(r) are computed as odd and even #
# polynomials in r, respectively. Exit #
# #
# 6. If |X| > 1, go to 8. #
# #
# 7. (|X|<2**(-40)) SIN(X) = X and COS(X) = 1. Exit. #
# #
# 8. Overwrite X by X := X rem 2Pi. Now that |X| <= Pi, #
# go back to 2. #
# #
#########################################################################
SINA7: long 0xBD6AAA77,0xCCC994F5
SINA6: long 0x3DE61209,0x7AAE8DA1
SINA5: long 0xBE5AE645,0x2A118AE4
SINA4: long 0x3EC71DE3,0xA5341531
SINA3: long 0xBF2A01A0,0x1A018B59,0x00000000,0x00000000
SINA2: long 0x3FF80000,0x88888888,0x888859AF,0x00000000
SINA1: long 0xBFFC0000,0xAAAAAAAA,0xAAAAAA99,0x00000000
COSB8: long 0x3D2AC4D0,0xD6011EE3
COSB7: long 0xBDA9396F,0x9F45AC19
COSB6: long 0x3E21EED9,0x0612C972
COSB5: long 0xBE927E4F,0xB79D9FCF
COSB4: long 0x3EFA01A0,0x1A01D423,0x00000000,0x00000000
COSB3: long 0xBFF50000,0xB60B60B6,0x0B61D438,0x00000000
COSB2: long 0x3FFA0000,0xAAAAAAAA,0xAAAAAB5E
COSB1: long 0xBF000000
set INARG,FP_SCR0
set X,FP_SCR0
# set XDCARE,X+2
set XFRAC,X+4
set RPRIME,FP_SCR0
set SPRIME,FP_SCR1
set POSNEG1,L_SCR1
set TWOTO63,L_SCR1
set ENDFLAG,L_SCR2
set INT,L_SCR2
set ADJN,L_SCR3
############################################
global ssin
ssin:
mov.l &0,ADJN(%a6) # yes; SET ADJN TO 0
bra.b SINBGN
############################################
global scos
scos:
mov.l &1,ADJN(%a6) # yes; SET ADJN TO 1
############################################
SINBGN:
#--SAVE FPCR, FP1. CHECK IF |X| IS TOO SMALL OR LARGE
fmov.x (%a0),%fp0 # LOAD INPUT
fmov.x %fp0,X(%a6) # save input at X
# "COMPACTIFY" X
mov.l (%a0),%d1 # put exp in hi word
mov.w 4(%a0),%d1 # fetch hi(man)
and.l &0x7FFFFFFF,%d1 # strip sign
cmpi.l %d1,&0x3FD78000 # is |X| >= 2**(-40)?
bge.b SOK1 # no
bra.w SINSM # yes; input is very small
SOK1:
cmp.l %d1,&0x4004BC7E # is |X| < 15 PI?
blt.b SINMAIN # no
bra.w SREDUCEX # yes; input is very large
#--THIS IS THE USUAL CASE, |X| <= 15 PI.
#--THE ARGUMENT REDUCTION IS DONE BY TABLE LOOK UP.
SINMAIN:
fmov.x %fp0,%fp1
fmul.d TWOBYPI(%pc),%fp1 # X*2/PI
lea PITBL+0x200(%pc),%a1 # TABLE OF N*PI/2, N = -32,...,32
fmov.l %fp1,INT(%a6) # CONVERT TO INTEGER
mov.l INT(%a6),%d1 # make a copy of N
asl.l &4,%d1 # N *= 16
add.l %d1,%a1 # tbl_addr = a1 + (N*16)
# A1 IS THE ADDRESS OF N*PIBY2
# ...WHICH IS IN TWO PIECES Y1 & Y2
fsub.x (%a1)+,%fp0 # X-Y1
fsub.s (%a1),%fp0 # fp0 = R = (X-Y1)-Y2
SINCONT:
#--continuation from REDUCEX
#--GET N+ADJN AND SEE IF SIN(R) OR COS(R) IS NEEDED
mov.l INT(%a6),%d1
add.l ADJN(%a6),%d1 # SEE IF D0 IS ODD OR EVEN
ror.l &1,%d1 # D0 WAS ODD IFF D0 IS NEGATIVE
cmp.l %d1,&0
blt.w COSPOLY
#--LET J BE THE LEAST SIG. BIT OF D0, LET SGN := (-1)**J.
#--THEN WE RETURN SGN*SIN(R). SGN*SIN(R) IS COMPUTED BY
#--R' + R'*S*(A1 + S(A2 + S(A3 + S(A4 + ... + SA7)))), WHERE
#--R' = SGN*R, S=R*R. THIS CAN BE REWRITTEN AS
#--R' + R'*S*( [A1+T(A3+T(A5+TA7))] + [S(A2+T(A4+TA6))])
#--WHERE T=S*S.
#--NOTE THAT A3 THROUGH A7 ARE STORED IN DOUBLE PRECISION
#--WHILE A1 AND A2 ARE IN DOUBLE-EXTENDED FORMAT.
SINPOLY:
fmovm.x &0x0c,-(%sp) # save fp2/fp3
fmov.x %fp0,X(%a6) # X IS R
fmul.x %fp0,%fp0 # FP0 IS S
fmov.d SINA7(%pc),%fp3
fmov.d SINA6(%pc),%fp2
fmov.x %fp0,%fp1
fmul.x %fp1,%fp1 # FP1 IS T
ror.l &1,%d1
and.l &0x80000000,%d1
# ...LEAST SIG. BIT OF D0 IN SIGN POSITION
eor.l %d1,X(%a6) # X IS NOW R'= SGN*R
fmul.x %fp1,%fp3 # TA7
fmul.x %fp1,%fp2 # TA6
fadd.d SINA5(%pc),%fp3 # A5+TA7
fadd.d SINA4(%pc),%fp2 # A4+TA6
fmul.x %fp1,%fp3 # T(A5+TA7)
fmul.x %fp1,%fp2 # T(A4+TA6)
fadd.d SINA3(%pc),%fp3 # A3+T(A5+TA7)
fadd.x SINA2(%pc),%fp2 # A2+T(A4+TA6)
fmul.x %fp3,%fp1 # T(A3+T(A5+TA7))
fmul.x %fp0,%fp2 # S(A2+T(A4+TA6))
fadd.x SINA1(%pc),%fp1 # A1+T(A3+T(A5+TA7))
fmul.x X(%a6),%fp0 # R'*S
fadd.x %fp2,%fp1 # [A1+T(A3+T(A5+TA7))]+[S(A2+T(A4+TA6))]
fmul.x %fp1,%fp0 # SIN(R')-R'
fmovm.x (%sp)+,&0x30 # restore fp2/fp3
fmov.l %d0,%fpcr # restore users round mode,prec
fadd.x X(%a6),%fp0 # last inst - possible exception set
bra t_inx2
#--LET J BE THE LEAST SIG. BIT OF D0, LET SGN := (-1)**J.
#--THEN WE RETURN SGN*COS(R). SGN*COS(R) IS COMPUTED BY
#--SGN + S'*(B1 + S(B2 + S(B3 + S(B4 + ... + SB8)))), WHERE
#--S=R*R AND S'=SGN*S. THIS CAN BE REWRITTEN AS
#--SGN + S'*([B1+T(B3+T(B5+TB7))] + [S(B2+T(B4+T(B6+TB8)))])
#--WHERE T=S*S.
#--NOTE THAT B4 THROUGH B8 ARE STORED IN DOUBLE PRECISION
#--WHILE B2 AND B3 ARE IN DOUBLE-EXTENDED FORMAT, B1 IS -1/2
#--AND IS THEREFORE STORED AS SINGLE PRECISION.
COSPOLY:
fmovm.x &0x0c,-(%sp) # save fp2/fp3
fmul.x %fp0,%fp0 # FP0 IS S
fmov.d COSB8(%pc),%fp2
fmov.d COSB7(%pc),%fp3
fmov.x %fp0,%fp1
fmul.x %fp1,%fp1 # FP1 IS T
fmov.x %fp0,X(%a6) # X IS S
ror.l &1,%d1
and.l &0x80000000,%d1
# ...LEAST SIG. BIT OF D0 IN SIGN POSITION
fmul.x %fp1,%fp2 # TB8
eor.l %d1,X(%a6) # X IS NOW S'= SGN*S
and.l &0x80000000,%d1
fmul.x %fp1,%fp3 # TB7
or.l &0x3F800000,%d1 # D0 IS SGN IN SINGLE
mov.l %d1,POSNEG1(%a6)
fadd.d COSB6(%pc),%fp2 # B6+TB8
fadd.d COSB5(%pc),%fp3 # B5+TB7
fmul.x %fp1,%fp2 # T(B6+TB8)
fmul.x %fp1,%fp3 # T(B5+TB7)
fadd.d COSB4(%pc),%fp2 # B4+T(B6+TB8)
fadd.x COSB3(%pc),%fp3 # B3+T(B5+TB7)
fmul.x %fp1,%fp2 # T(B4+T(B6+TB8))
fmul.x %fp3,%fp1 # T(B3+T(B5+TB7))
fadd.x COSB2(%pc),%fp2 # B2+T(B4+T(B6+TB8))
fadd.s COSB1(%pc),%fp1 # B1+T(B3+T(B5+TB7))
fmul.x %fp2,%fp0 # S(B2+T(B4+T(B6+TB8)))
fadd.x %fp1,%fp0
fmul.x X(%a6),%fp0
fmovm.x (%sp)+,&0x30 # restore fp2/fp3
fmov.l %d0,%fpcr # restore users round mode,prec
fadd.s POSNEG1(%a6),%fp0 # last inst - possible exception set
bra t_inx2
##############################################
# SINe: Big OR Small?
#--IF |X| > 15PI, WE USE THE GENERAL ARGUMENT REDUCTION.
#--IF |X| < 2**(-40), RETURN X OR 1.
SINBORS:
cmp.l %d1,&0x3FFF8000
bgt.l SREDUCEX
SINSM:
mov.l ADJN(%a6),%d1
cmp.l %d1,&0
bgt.b COSTINY
# here, the operation may underflow iff the precision is sgl or dbl.
# extended denorms are handled through another entry point.
SINTINY:
# mov.w &0x0000,XDCARE(%a6) # JUST IN CASE
fmov.l %d0,%fpcr # restore users round mode,prec
mov.b &FMOV_OP,%d1 # last inst is MOVE
fmov.x X(%a6),%fp0 # last inst - possible exception set
bra t_catch
COSTINY:
fmov.s &0x3F800000,%fp0 # fp0 = 1.0
fmov.l %d0,%fpcr # restore users round mode,prec
fadd.s &0x80800000,%fp0 # last inst - possible exception set
bra t_pinx2
################################################
global ssind
#--SIN(X) = X FOR DENORMALIZED X
ssind:
bra t_extdnrm
############################################
global scosd
#--COS(X) = 1 FOR DENORMALIZED X
scosd:
fmov.s &0x3F800000,%fp0 # fp0 = 1.0
bra t_pinx2
##################################################
global ssincos
ssincos:
#--SET ADJN TO 4
mov.l &4,ADJN(%a6)
fmov.x (%a0),%fp0 # LOAD INPUT
fmov.x %fp0,X(%a6)
mov.l (%a0),%d1
mov.w 4(%a0),%d1
and.l &0x7FFFFFFF,%d1 # COMPACTIFY X
cmp.l %d1,&0x3FD78000 # |X| >= 2**(-40)?
bge.b SCOK1
bra.w SCSM
SCOK1:
cmp.l %d1,&0x4004BC7E # |X| < 15 PI?
blt.b SCMAIN
bra.w SREDUCEX
#--THIS IS THE USUAL CASE, |X| <= 15 PI.
#--THE ARGUMENT REDUCTION IS DONE BY TABLE LOOK UP.
SCMAIN:
fmov.x %fp0,%fp1
fmul.d TWOBYPI(%pc),%fp1 # X*2/PI
lea PITBL+0x200(%pc),%a1 # TABLE OF N*PI/2, N = -32,...,32
fmov.l %fp1,INT(%a6) # CONVERT TO INTEGER
mov.l INT(%a6),%d1
asl.l &4,%d1
add.l %d1,%a1 # ADDRESS OF N*PIBY2, IN Y1, Y2
fsub.x (%a1)+,%fp0 # X-Y1
fsub.s (%a1),%fp0 # FP0 IS R = (X-Y1)-Y2
SCCONT:
#--continuation point from REDUCEX
mov.l INT(%a6),%d1
ror.l &1,%d1
cmp.l %d1,&0 # D0 < 0 IFF N IS ODD
bge.w NEVEN
SNODD:
#--REGISTERS SAVED SO FAR: D0, A0, FP2.
fmovm.x &0x04,-(%sp) # save fp2
fmov.x %fp0,RPRIME(%a6)
fmul.x %fp0,%fp0 # FP0 IS S = R*R
fmov.d SINA7(%pc),%fp1 # A7
fmov.d COSB8(%pc),%fp2 # B8
fmul.x %fp0,%fp1 # SA7
fmul.x %fp0,%fp2 # SB8
mov.l %d2,-(%sp)
mov.l %d1,%d2
ror.l &1,%d2
and.l &0x80000000,%d2
eor.l %d1,%d2
and.l &0x80000000,%d2
fadd.d SINA6(%pc),%fp1 # A6+SA7
fadd.d COSB7(%pc),%fp2 # B7+SB8
fmul.x %fp0,%fp1 # S(A6+SA7)
eor.l %d2,RPRIME(%a6)
mov.l (%sp)+,%d2
fmul.x %fp0,%fp2 # S(B7+SB8)
ror.l &1,%d1
and.l &0x80000000,%d1
mov.l &0x3F800000,POSNEG1(%a6)
eor.l %d1,POSNEG1(%a6)
fadd.d SINA5(%pc),%fp1 # A5+S(A6+SA7)
fadd.d COSB6(%pc),%fp2 # B6+S(B7+SB8)
fmul.x %fp0,%fp1 # S(A5+S(A6+SA7))
fmul.x %fp0,%fp2 # S(B6+S(B7+SB8))
fmov.x %fp0,SPRIME(%a6)
fadd.d SINA4(%pc),%fp1 # A4+S(A5+S(A6+SA7))
eor.l %d1,SPRIME(%a6)
fadd.d COSB5(%pc),%fp2 # B5+S(B6+S(B7+SB8))
fmul.x %fp0,%fp1 # S(A4+...)
fmul.x %fp0,%fp2 # S(B5+...)
fadd.d SINA3(%pc),%fp1 # A3+S(A4+...)
fadd.d COSB4(%pc),%fp2 # B4+S(B5+...)
fmul.x %fp0,%fp1 # S(A3+...)
fmul.x %fp0,%fp2 # S(B4+...)
fadd.x SINA2(%pc),%fp1 # A2+S(A3+...)
fadd.x COSB3(%pc),%fp2 # B3+S(B4+...)
fmul.x %fp0,%fp1 # S(A2+...)
fmul.x %fp0,%fp2 # S(B3+...)
fadd.x SINA1(%pc),%fp1 # A1+S(A2+...)
fadd.x COSB2(%pc),%fp2 # B2+S(B3+...)
fmul.x %fp0,%fp1 # S(A1+...)
fmul.x %fp2,%fp0 # S(B2+...)
fmul.x RPRIME(%a6),%fp1 # R'S(A1+...)
fadd.s COSB1(%pc),%fp0 # B1+S(B2...)
fmul.x SPRIME(%a6),%fp0 # S'(B1+S(B2+...))
fmovm.x (%sp)+,&0x20 # restore fp2
fmov.l %d0,%fpcr
fadd.x RPRIME(%a6),%fp1 # COS(X)
bsr sto_cos # store cosine result
fadd.s POSNEG1(%a6),%fp0 # SIN(X)
bra t_inx2
NEVEN:
#--REGISTERS SAVED SO FAR: FP2.
fmovm.x &0x04,-(%sp) # save fp2
fmov.x %fp0,RPRIME(%a6)
fmul.x %fp0,%fp0 # FP0 IS S = R*R
fmov.d COSB8(%pc),%fp1 # B8
fmov.d SINA7(%pc),%fp2 # A7
fmul.x %fp0,%fp1 # SB8
fmov.x %fp0,SPRIME(%a6)
fmul.x %fp0,%fp2 # SA7
ror.l &1,%d1
and.l &0x80000000,%d1
fadd.d COSB7(%pc),%fp1 # B7+SB8
fadd.d SINA6(%pc),%fp2 # A6+SA7
eor.l %d1,RPRIME(%a6)
eor.l %d1,SPRIME(%a6)
fmul.x %fp0,%fp1 # S(B7+SB8)
or.l &0x3F800000,%d1
mov.l %d1,POSNEG1(%a6)
fmul.x %fp0,%fp2 # S(A6+SA7)
fadd.d COSB6(%pc),%fp1 # B6+S(B7+SB8)
fadd.d SINA5(%pc),%fp2 # A5+S(A6+SA7)
fmul.x %fp0,%fp1 # S(B6+S(B7+SB8))
fmul.x %fp0,%fp2 # S(A5+S(A6+SA7))
fadd.d COSB5(%pc),%fp1 # B5+S(B6+S(B7+SB8))
fadd.d SINA4(%pc),%fp2 # A4+S(A5+S(A6+SA7))
fmul.x %fp0,%fp1 # S(B5+...)
fmul.x %fp0,%fp2 # S(A4+...)
fadd.d COSB4(%pc),%fp1 # B4+S(B5+...)
fadd.d SINA3(%pc),%fp2 # A3+S(A4+...)
fmul.x %fp0,%fp1 # S(B4+...)
fmul.x %fp0,%fp2 # S(A3+...)
fadd.x COSB3(%pc),%fp1 # B3+S(B4+...)
fadd.x SINA2(%pc),%fp2 # A2+S(A3+...)
fmul.x %fp0,%fp1 # S(B3+...)
fmul.x %fp0,%fp2 # S(A2+...)
fadd.x COSB2(%pc),%fp1 # B2+S(B3+...)
fadd.x SINA1(%pc),%fp2 # A1+S(A2+...)
fmul.x %fp0,%fp1 # S(B2+...)
fmul.x %fp2,%fp0 # s(a1+...)
fadd.s COSB1(%pc),%fp1 # B1+S(B2...)
fmul.x RPRIME(%a6),%fp0 # R'S(A1+...)
fmul.x SPRIME(%a6),%fp1 # S'(B1+S(B2+...))
fmovm.x (%sp)+,&0x20 # restore fp2
fmov.l %d0,%fpcr
fadd.s POSNEG1(%a6),%fp1 # COS(X)
bsr sto_cos # store cosine result
fadd.x RPRIME(%a6),%fp0 # SIN(X)
bra t_inx2
################################################
SCBORS:
cmp.l %d1,&0x3FFF8000
bgt.w SREDUCEX
################################################
SCSM:
# mov.w &0x0000,XDCARE(%a6)
fmov.s &0x3F800000,%fp1
fmov.l %d0,%fpcr
fsub.s &0x00800000,%fp1
bsr sto_cos # store cosine result
fmov.l %fpcr,%d0 # d0 must have fpcr,too
mov.b &FMOV_OP,%d1 # last inst is MOVE
fmov.x X(%a6),%fp0
bra t_catch
##############################################
global ssincosd
#--SIN AND COS OF X FOR DENORMALIZED X
ssincosd:
mov.l %d0,-(%sp) # save d0
fmov.s &0x3F800000,%fp1
bsr sto_cos # store cosine result
mov.l (%sp)+,%d0 # restore d0
bra t_extdnrm
############################################
#--WHEN REDUCEX IS USED, THE CODE WILL INEVITABLY BE SLOW.
#--THIS REDUCTION METHOD, HOWEVER, IS MUCH FASTER THAN USING
#--THE REMAINDER INSTRUCTION WHICH IS NOW IN SOFTWARE.
SREDUCEX:
fmovm.x &0x3c,-(%sp) # save {fp2-fp5}
mov.l %d2,-(%sp) # save d2
fmov.s &0x00000000,%fp1 # fp1 = 0
#--If compact form of abs(arg) in d0=$7ffeffff, argument is so large that
#--there is a danger of unwanted overflow in first LOOP iteration. In this
#--case, reduce argument by one remainder step to make subsequent reduction
#--safe.
cmp.l %d1,&0x7ffeffff # is arg dangerously large?
bne.b SLOOP # no
# yes; create 2**16383*PI/2
mov.w &0x7ffe,FP_SCR0_EX(%a6)
mov.l &0xc90fdaa2,FP_SCR0_HI(%a6)
clr.l FP_SCR0_LO(%a6)
# create low half of 2**16383*PI/2 at FP_SCR1
mov.w &0x7fdc,FP_SCR1_EX(%a6)
mov.l &0x85a308d3,FP_SCR1_HI(%a6)
clr.l FP_SCR1_LO(%a6)
ftest.x %fp0 # test sign of argument
fblt.w sred_neg
or.b &0x80,FP_SCR0_EX(%a6) # positive arg
or.b &0x80,FP_SCR1_EX(%a6)
sred_neg:
fadd.x FP_SCR0(%a6),%fp0 # high part of reduction is exact
fmov.x %fp0,%fp1 # save high result in fp1
fadd.x FP_SCR1(%a6),%fp0 # low part of reduction
fsub.x %fp0,%fp1 # determine low component of result
fadd.x FP_SCR1(%a6),%fp1 # fp0/fp1 are reduced argument.
#--ON ENTRY, FP0 IS X, ON RETURN, FP0 IS X REM PI/2, |X| <= PI/4.
#--integer quotient will be stored in N
#--Intermeditate remainder is 66-bit long; (R,r) in (FP0,FP1)
SLOOP:
fmov.x %fp0,INARG(%a6) # +-2**K * F, 1 <= F < 2
mov.w INARG(%a6),%d1
mov.l %d1,%a1 # save a copy of D0
and.l &0x00007FFF,%d1
sub.l &0x00003FFF,%d1 # d0 = K
cmp.l %d1,&28
ble.b SLASTLOOP
SCONTLOOP:
sub.l &27,%d1 # d0 = L := K-27
mov.b &0,ENDFLAG(%a6)
bra.b SWORK
SLASTLOOP:
clr.l %d1 # d0 = L := 0
mov.b &1,ENDFLAG(%a6)
SWORK:
#--FIND THE REMAINDER OF (R,r) W.R.T. 2**L * (PI/2). L IS SO CHOSEN
#--THAT INT( X * (2/PI) / 2**(L) ) < 2**29.
#--CREATE 2**(-L) * (2/PI), SIGN(INARG)*2**(63),
#--2**L * (PIby2_1), 2**L * (PIby2_2)
mov.l &0x00003FFE,%d2 # BIASED EXP OF 2/PI
sub.l %d1,%d2 # BIASED EXP OF 2**(-L)*(2/PI)
mov.l &0xA2F9836E,FP_SCR0_HI(%a6)
mov.l &0x4E44152A,FP_SCR0_LO(%a6)
mov.w %d2,FP_SCR0_EX(%a6) # FP_SCR0 = 2**(-L)*(2/PI)
fmov.x %fp0,%fp2
fmul.x FP_SCR0(%a6),%fp2 # fp2 = X * 2**(-L)*(2/PI)
#--WE MUST NOW FIND INT(FP2). SINCE WE NEED THIS VALUE IN
#--FLOATING POINT FORMAT, THE TWO FMOVE'S FMOVE.L FP <--> N
#--WILL BE TOO INEFFICIENT. THE WAY AROUND IT IS THAT
#--(SIGN(INARG)*2**63 + FP2) - SIGN(INARG)*2**63 WILL GIVE
#--US THE DESIRED VALUE IN FLOATING POINT.
mov.l %a1,%d2
swap %d2
and.l &0x80000000,%d2
or.l &0x5F000000,%d2 # d2 = SIGN(INARG)*2**63 IN SGL
mov.l %d2,TWOTO63(%a6)
fadd.s TWOTO63(%a6),%fp2 # THE FRACTIONAL PART OF FP1 IS ROUNDED
fsub.s TWOTO63(%a6),%fp2 # fp2 = N
# fint.x %fp2
#--CREATING 2**(L)*Piby2_1 and 2**(L)*Piby2_2
mov.l %d1,%d2 # d2 = L
add.l &0x00003FFF,%d2 # BIASED EXP OF 2**L * (PI/2)
mov.w %d2,FP_SCR0_EX(%a6)
mov.l &0xC90FDAA2,FP_SCR0_HI(%a6)
clr.l FP_SCR0_LO(%a6) # FP_SCR0 = 2**(L) * Piby2_1
add.l &0x00003FDD,%d1
mov.w %d1,FP_SCR1_EX(%a6)
mov.l &0x85A308D3,FP_SCR1_HI(%a6)
clr.l FP_SCR1_LO(%a6) # FP_SCR1 = 2**(L) * Piby2_2
mov.b ENDFLAG(%a6),%d1
#--We are now ready to perform (R+r) - N*P1 - N*P2, P1 = 2**(L) * Piby2_1 and
#--P2 = 2**(L) * Piby2_2
fmov.x %fp2,%fp4 # fp4 = N
fmul.x FP_SCR0(%a6),%fp4 # fp4 = W = N*P1
fmov.x %fp2,%fp5 # fp5 = N
fmul.x FP_SCR1(%a6),%fp5 # fp5 = w = N*P2
fmov.x %fp4,%fp3 # fp3 = W = N*P1
#--we want P+p = W+w but |p| <= half ulp of P
#--Then, we need to compute A := R-P and a := r-p
fadd.x %fp5,%fp3 # fp3 = P
fsub.x %fp3,%fp4 # fp4 = W-P
fsub.x %fp3,%fp0 # fp0 = A := R - P
fadd.x %fp5,%fp4 # fp4 = p = (W-P)+w
fmov.x %fp0,%fp3 # fp3 = A
fsub.x %fp4,%fp1 # fp1 = a := r - p
#--Now we need to normalize (A,a) to "new (R,r)" where R+r = A+a but
#--|r| <= half ulp of R.
fadd.x %fp1,%fp0 # fp0 = R := A+a
#--No need to calculate r if this is the last loop
cmp.b %d1,&0
bgt.w SRESTORE
#--Need to calculate r
fsub.x %fp0,%fp3 # fp3 = A-R
fadd.x %fp3,%fp1 # fp1 = r := (A-R)+a
bra.w SLOOP
SRESTORE:
fmov.l %fp2,INT(%a6)
mov.l (%sp)+,%d2 # restore d2
fmovm.x (%sp)+,&0x3c # restore {fp2-fp5}
mov.l ADJN(%a6),%d1
cmp.l %d1,&4
blt.w SINCONT
bra.w SCCONT
#########################################################################
# stan(): computes the tangent of a normalized input #
# stand(): computes the tangent of a denormalized input #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# d0 = round precision,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = tan(X) #
# #
# ACCURACY and MONOTONICITY ******************************************* #
# The returned result is within 3 ulp in 64 significant bit, i.e. #
# within 0.5001 ulp to 53 bits if the result is subsequently #
# rounded to double precision. The result is provably monotonic #
# in double precision. #
# #
# ALGORITHM *********************************************************** #
# #
# 1. If |X| >= 15Pi or |X| < 2**(-40), go to 6. #
# #
# 2. Decompose X as X = N(Pi/2) + r where |r| <= Pi/4. Let #
# k = N mod 2, so in particular, k = 0 or 1. #
# #
# 3. If k is odd, go to 5. #
# #
# 4. (k is even) Tan(X) = tan(r) and tan(r) is approximated by a #
# rational function U/V where #
# U = r + r*s*(P1 + s*(P2 + s*P3)), and #
# V = 1 + s*(Q1 + s*(Q2 + s*(Q3 + s*Q4))), s = r*r. #
# Exit. #
# #
# 4. (k is odd) Tan(X) = -cot(r). Since tan(r) is approximated by #
# a rational function U/V where #
# U = r + r*s*(P1 + s*(P2 + s*P3)), and #
# V = 1 + s*(Q1 + s*(Q2 + s*(Q3 + s*Q4))), s = r*r, #
# -Cot(r) = -V/U. Exit. #
# #
# 6. If |X| > 1, go to 8. #
# #
# 7. (|X|<2**(-40)) Tan(X) = X. Exit. #
# #
# 8. Overwrite X by X := X rem 2Pi. Now that |X| <= Pi, go back #
# to 2. #
# #
#########################################################################
TANQ4:
long 0x3EA0B759,0xF50F8688
TANP3:
long 0xBEF2BAA5,0xA8924F04
TANQ3:
long 0xBF346F59,0xB39BA65F,0x00000000,0x00000000
TANP2:
long 0x3FF60000,0xE073D3FC,0x199C4A00,0x00000000
TANQ2:
long 0x3FF90000,0xD23CD684,0x15D95FA1,0x00000000
TANP1:
long 0xBFFC0000,0x8895A6C5,0xFB423BCA,0x00000000
TANQ1:
long 0xBFFD0000,0xEEF57E0D,0xA84BC8CE,0x00000000
INVTWOPI:
long 0x3FFC0000,0xA2F9836E,0x4E44152A,0x00000000
TWOPI1:
long 0x40010000,0xC90FDAA2,0x00000000,0x00000000
TWOPI2:
long 0x3FDF0000,0x85A308D4,0x00000000,0x00000000
#--N*PI/2, -32 <= N <= 32, IN A LEADING TERM IN EXT. AND TRAILING
#--TERM IN SGL. NOTE THAT PI IS 64-BIT LONG, THUS N*PI/2 IS AT
#--MOST 69 BITS LONG.
# global PITBL
PITBL:
long 0xC0040000,0xC90FDAA2,0x2168C235,0x21800000
long 0xC0040000,0xC2C75BCD,0x105D7C23,0xA0D00000
long 0xC0040000,0xBC7EDCF7,0xFF523611,0xA1E80000
long 0xC0040000,0xB6365E22,0xEE46F000,0x21480000
long 0xC0040000,0xAFEDDF4D,0xDD3BA9EE,0xA1200000
long 0xC0040000,0xA9A56078,0xCC3063DD,0x21FC0000
long 0xC0040000,0xA35CE1A3,0xBB251DCB,0x21100000
long 0xC0040000,0x9D1462CE,0xAA19D7B9,0xA1580000
long 0xC0040000,0x96CBE3F9,0x990E91A8,0x21E00000
long 0xC0040000,0x90836524,0x88034B96,0x20B00000
long 0xC0040000,0x8A3AE64F,0x76F80584,0xA1880000
long 0xC0040000,0x83F2677A,0x65ECBF73,0x21C40000
long 0xC0030000,0xFB53D14A,0xA9C2F2C2,0x20000000
long 0xC0030000,0xEEC2D3A0,0x87AC669F,0x21380000
long 0xC0030000,0xE231D5F6,0x6595DA7B,0xA1300000
long 0xC0030000,0xD5A0D84C,0x437F4E58,0x9FC00000
long 0xC0030000,0xC90FDAA2,0x2168C235,0x21000000
long 0xC0030000,0xBC7EDCF7,0xFF523611,0xA1680000
long 0xC0030000,0xAFEDDF4D,0xDD3BA9EE,0xA0A00000
long 0xC0030000,0xA35CE1A3,0xBB251DCB,0x20900000
long 0xC0030000,0x96CBE3F9,0x990E91A8,0x21600000
long 0xC0030000,0x8A3AE64F,0x76F80584,0xA1080000
long 0xC0020000,0xFB53D14A,0xA9C2F2C2,0x1F800000
long 0xC0020000,0xE231D5F6,0x6595DA7B,0xA0B00000
long 0xC0020000,0xC90FDAA2,0x2168C235,0x20800000
long 0xC0020000,0xAFEDDF4D,0xDD3BA9EE,0xA0200000
long 0xC0020000,0x96CBE3F9,0x990E91A8,0x20E00000
long 0xC0010000,0xFB53D14A,0xA9C2F2C2,0x1F000000
long 0xC0010000,0xC90FDAA2,0x2168C235,0x20000000
long 0xC0010000,0x96CBE3F9,0x990E91A8,0x20600000
long 0xC0000000,0xC90FDAA2,0x2168C235,0x1F800000
long 0xBFFF0000,0xC90FDAA2,0x2168C235,0x1F000000
long 0x00000000,0x00000000,0x00000000,0x00000000
long 0x3FFF0000,0xC90FDAA2,0x2168C235,0x9F000000
long 0x40000000,0xC90FDAA2,0x2168C235,0x9F800000
long 0x40010000,0x96CBE3F9,0x990E91A8,0xA0600000
long 0x40010000,0xC90FDAA2,0x2168C235,0xA0000000
long 0x40010000,0xFB53D14A,0xA9C2F2C2,0x9F000000
long 0x40020000,0x96CBE3F9,0x990E91A8,0xA0E00000
long 0x40020000,0xAFEDDF4D,0xDD3BA9EE,0x20200000
long 0x40020000,0xC90FDAA2,0x2168C235,0xA0800000
long 0x40020000,0xE231D5F6,0x6595DA7B,0x20B00000
long 0x40020000,0xFB53D14A,0xA9C2F2C2,0x9F800000
long 0x40030000,0x8A3AE64F,0x76F80584,0x21080000
long 0x40030000,0x96CBE3F9,0x990E91A8,0xA1600000
long 0x40030000,0xA35CE1A3,0xBB251DCB,0xA0900000
long 0x40030000,0xAFEDDF4D,0xDD3BA9EE,0x20A00000
long 0x40030000,0xBC7EDCF7,0xFF523611,0x21680000
long 0x40030000,0xC90FDAA2,0x2168C235,0xA1000000
long 0x40030000,0xD5A0D84C,0x437F4E58,0x1FC00000
long 0x40030000,0xE231D5F6,0x6595DA7B,0x21300000
long 0x40030000,0xEEC2D3A0,0x87AC669F,0xA1380000
long 0x40030000,0xFB53D14A,0xA9C2F2C2,0xA0000000
long 0x40040000,0x83F2677A,0x65ECBF73,0xA1C40000
long 0x40040000,0x8A3AE64F,0x76F80584,0x21880000
long 0x40040000,0x90836524,0x88034B96,0xA0B00000
long 0x40040000,0x96CBE3F9,0x990E91A8,0xA1E00000
long 0x40040000,0x9D1462CE,0xAA19D7B9,0x21580000
long 0x40040000,0xA35CE1A3,0xBB251DCB,0xA1100000
long 0x40040000,0xA9A56078,0xCC3063DD,0xA1FC0000
long 0x40040000,0xAFEDDF4D,0xDD3BA9EE,0x21200000
long 0x40040000,0xB6365E22,0xEE46F000,0xA1480000
long 0x40040000,0xBC7EDCF7,0xFF523611,0x21E80000
long 0x40040000,0xC2C75BCD,0x105D7C23,0x20D00000
long 0x40040000,0xC90FDAA2,0x2168C235,0xA1800000
set INARG,FP_SCR0
set TWOTO63,L_SCR1
set INT,L_SCR1
set ENDFLAG,L_SCR2
global stan
stan:
fmov.x (%a0),%fp0 # LOAD INPUT
mov.l (%a0),%d1
mov.w 4(%a0),%d1
and.l &0x7FFFFFFF,%d1
cmp.l %d1,&0x3FD78000 # |X| >= 2**(-40)?
bge.b TANOK1
bra.w TANSM
TANOK1:
cmp.l %d1,&0x4004BC7E # |X| < 15 PI?
blt.b TANMAIN
bra.w REDUCEX
TANMAIN:
#--THIS IS THE USUAL CASE, |X| <= 15 PI.
#--THE ARGUMENT REDUCTION IS DONE BY TABLE LOOK UP.
fmov.x %fp0,%fp1
fmul.d TWOBYPI(%pc),%fp1 # X*2/PI
lea.l PITBL+0x200(%pc),%a1 # TABLE OF N*PI/2, N = -32,...,32
fmov.l %fp1,%d1 # CONVERT TO INTEGER
asl.l &4,%d1
add.l %d1,%a1 # ADDRESS N*PIBY2 IN Y1, Y2
fsub.x (%a1)+,%fp0 # X-Y1
fsub.s (%a1),%fp0 # FP0 IS R = (X-Y1)-Y2
ror.l &5,%d1
and.l &0x80000000,%d1 # D0 WAS ODD IFF D0 < 0
TANCONT:
fmovm.x &0x0c,-(%sp) # save fp2,fp3
cmp.l %d1,&0
blt.w NODD
fmov.x %fp0,%fp1
fmul.x %fp1,%fp1 # S = R*R
fmov.d TANQ4(%pc),%fp3
fmov.d TANP3(%pc),%fp2
fmul.x %fp1,%fp3 # SQ4
fmul.x %fp1,%fp2 # SP3
fadd.d TANQ3(%pc),%fp3 # Q3+SQ4
fadd.x TANP2(%pc),%fp2 # P2+SP3
fmul.x %fp1,%fp3 # S(Q3+SQ4)
fmul.x %fp1,%fp2 # S(P2+SP3)
fadd.x TANQ2(%pc),%fp3 # Q2+S(Q3+SQ4)
fadd.x TANP1(%pc),%fp2 # P1+S(P2+SP3)
fmul.x %fp1,%fp3 # S(Q2+S(Q3+SQ4))
fmul.x %fp1,%fp2 # S(P1+S(P2+SP3))
fadd.x TANQ1(%pc),%fp3 # Q1+S(Q2+S(Q3+SQ4))
fmul.x %fp0,%fp2 # RS(P1+S(P2+SP3))
fmul.x %fp3,%fp1 # S(Q1+S(Q2+S(Q3+SQ4)))
fadd.x %fp2,%fp0 # R+RS(P1+S(P2+SP3))
fadd.s &0x3F800000,%fp1 # 1+S(Q1+...)
fmovm.x (%sp)+,&0x30 # restore fp2,fp3
fmov.l %d0,%fpcr # restore users round mode,prec
fdiv.x %fp1,%fp0 # last inst - possible exception set
bra t_inx2
NODD:
fmov.x %fp0,%fp1
fmul.x %fp0,%fp0 # S = R*R
fmov.d TANQ4(%pc),%fp3
fmov.d TANP3(%pc),%fp2
fmul.x %fp0,%fp3 # SQ4
fmul.x %fp0,%fp2 # SP3
fadd.d TANQ3(%pc),%fp3 # Q3+SQ4
fadd.x TANP2(%pc),%fp2 # P2+SP3
fmul.x %fp0,%fp3 # S(Q3+SQ4)
fmul.x %fp0,%fp2 # S(P2+SP3)
fadd.x TANQ2(%pc),%fp3 # Q2+S(Q3+SQ4)
fadd.x TANP1(%pc),%fp2 # P1+S(P2+SP3)
fmul.x %fp0,%fp3 # S(Q2+S(Q3+SQ4))
fmul.x %fp0,%fp2 # S(P1+S(P2+SP3))
fadd.x TANQ1(%pc),%fp3 # Q1+S(Q2+S(Q3+SQ4))
fmul.x %fp1,%fp2 # RS(P1+S(P2+SP3))
fmul.x %fp3,%fp0 # S(Q1+S(Q2+S(Q3+SQ4)))
fadd.x %fp2,%fp1 # R+RS(P1+S(P2+SP3))
fadd.s &0x3F800000,%fp0 # 1+S(Q1+...)
fmovm.x (%sp)+,&0x30 # restore fp2,fp3
fmov.x %fp1,-(%sp)
eor.l &0x80000000,(%sp)
fmov.l %d0,%fpcr # restore users round mode,prec
fdiv.x (%sp)+,%fp0 # last inst - possible exception set
bra t_inx2
TANBORS:
#--IF |X| > 15PI, WE USE THE GENERAL ARGUMENT REDUCTION.
#--IF |X| < 2**(-40), RETURN X OR 1.
cmp.l %d1,&0x3FFF8000
bgt.b REDUCEX
TANSM:
fmov.x %fp0,-(%sp)
fmov.l %d0,%fpcr # restore users round mode,prec
mov.b &FMOV_OP,%d1 # last inst is MOVE
fmov.x (%sp)+,%fp0 # last inst - posibble exception set
bra t_catch
global stand
#--TAN(X) = X FOR DENORMALIZED X
stand:
bra t_extdnrm
#--WHEN REDUCEX IS USED, THE CODE WILL INEVITABLY BE SLOW.
#--THIS REDUCTION METHOD, HOWEVER, IS MUCH FASTER THAN USING
#--THE REMAINDER INSTRUCTION WHICH IS NOW IN SOFTWARE.
REDUCEX:
fmovm.x &0x3c,-(%sp) # save {fp2-fp5}
mov.l %d2,-(%sp) # save d2
fmov.s &0x00000000,%fp1 # fp1 = 0
#--If compact form of abs(arg) in d0=$7ffeffff, argument is so large that
#--there is a danger of unwanted overflow in first LOOP iteration. In this
#--case, reduce argument by one remainder step to make subsequent reduction
#--safe.
cmp.l %d1,&0x7ffeffff # is arg dangerously large?
bne.b LOOP # no
# yes; create 2**16383*PI/2
mov.w &0x7ffe,FP_SCR0_EX(%a6)
mov.l &0xc90fdaa2,FP_SCR0_HI(%a6)
clr.l FP_SCR0_LO(%a6)
# create low half of 2**16383*PI/2 at FP_SCR1
mov.w &0x7fdc,FP_SCR1_EX(%a6)
mov.l &0x85a308d3,FP_SCR1_HI(%a6)
clr.l FP_SCR1_LO(%a6)
ftest.x %fp0 # test sign of argument
fblt.w red_neg
or.b &0x80,FP_SCR0_EX(%a6) # positive arg
or.b &0x80,FP_SCR1_EX(%a6)
red_neg:
fadd.x FP_SCR0(%a6),%fp0 # high part of reduction is exact
fmov.x %fp0,%fp1 # save high result in fp1
fadd.x FP_SCR1(%a6),%fp0 # low part of reduction
fsub.x %fp0,%fp1 # determine low component of result
fadd.x FP_SCR1(%a6),%fp1 # fp0/fp1 are reduced argument.
#--ON ENTRY, FP0 IS X, ON RETURN, FP0 IS X REM PI/2, |X| <= PI/4.
#--integer quotient will be stored in N
#--Intermeditate remainder is 66-bit long; (R,r) in (FP0,FP1)
LOOP:
fmov.x %fp0,INARG(%a6) # +-2**K * F, 1 <= F < 2
mov.w INARG(%a6),%d1
mov.l %d1,%a1 # save a copy of D0
and.l &0x00007FFF,%d1
sub.l &0x00003FFF,%d1 # d0 = K
cmp.l %d1,&28
ble.b LASTLOOP
CONTLOOP:
sub.l &27,%d1 # d0 = L := K-27
mov.b &0,ENDFLAG(%a6)
bra.b WORK
LASTLOOP:
clr.l %d1 # d0 = L := 0
mov.b &1,ENDFLAG(%a6)
WORK:
#--FIND THE REMAINDER OF (R,r) W.R.T. 2**L * (PI/2). L IS SO CHOSEN
#--THAT INT( X * (2/PI) / 2**(L) ) < 2**29.
#--CREATE 2**(-L) * (2/PI), SIGN(INARG)*2**(63),
#--2**L * (PIby2_1), 2**L * (PIby2_2)
mov.l &0x00003FFE,%d2 # BIASED EXP OF 2/PI
sub.l %d1,%d2 # BIASED EXP OF 2**(-L)*(2/PI)
mov.l &0xA2F9836E,FP_SCR0_HI(%a6)
mov.l &0x4E44152A,FP_SCR0_LO(%a6)
mov.w %d2,FP_SCR0_EX(%a6) # FP_SCR0 = 2**(-L)*(2/PI)
fmov.x %fp0,%fp2
fmul.x FP_SCR0(%a6),%fp2 # fp2 = X * 2**(-L)*(2/PI)
#--WE MUST NOW FIND INT(FP2). SINCE WE NEED THIS VALUE IN
#--FLOATING POINT FORMAT, THE TWO FMOVE'S FMOVE.L FP <--> N
#--WILL BE TOO INEFFICIENT. THE WAY AROUND IT IS THAT
#--(SIGN(INARG)*2**63 + FP2) - SIGN(INARG)*2**63 WILL GIVE
#--US THE DESIRED VALUE IN FLOATING POINT.
mov.l %a1,%d2
swap %d2
and.l &0x80000000,%d2
or.l &0x5F000000,%d2 # d2 = SIGN(INARG)*2**63 IN SGL
mov.l %d2,TWOTO63(%a6)
fadd.s TWOTO63(%a6),%fp2 # THE FRACTIONAL PART OF FP1 IS ROUNDED
fsub.s TWOTO63(%a6),%fp2 # fp2 = N
# fintrz.x %fp2,%fp2
#--CREATING 2**(L)*Piby2_1 and 2**(L)*Piby2_2
mov.l %d1,%d2 # d2 = L
add.l &0x00003FFF,%d2 # BIASED EXP OF 2**L * (PI/2)
mov.w %d2,FP_SCR0_EX(%a6)
mov.l &0xC90FDAA2,FP_SCR0_HI(%a6)
clr.l FP_SCR0_LO(%a6) # FP_SCR0 = 2**(L) * Piby2_1
add.l &0x00003FDD,%d1
mov.w %d1,FP_SCR1_EX(%a6)
mov.l &0x85A308D3,FP_SCR1_HI(%a6)
clr.l FP_SCR1_LO(%a6) # FP_SCR1 = 2**(L) * Piby2_2
mov.b ENDFLAG(%a6),%d1
#--We are now ready to perform (R+r) - N*P1 - N*P2, P1 = 2**(L) * Piby2_1 and
#--P2 = 2**(L) * Piby2_2
fmov.x %fp2,%fp4 # fp4 = N
fmul.x FP_SCR0(%a6),%fp4 # fp4 = W = N*P1
fmov.x %fp2,%fp5 # fp5 = N
fmul.x FP_SCR1(%a6),%fp5 # fp5 = w = N*P2
fmov.x %fp4,%fp3 # fp3 = W = N*P1
#--we want P+p = W+w but |p| <= half ulp of P
#--Then, we need to compute A := R-P and a := r-p
fadd.x %fp5,%fp3 # fp3 = P
fsub.x %fp3,%fp4 # fp4 = W-P
fsub.x %fp3,%fp0 # fp0 = A := R - P
fadd.x %fp5,%fp4 # fp4 = p = (W-P)+w
fmov.x %fp0,%fp3 # fp3 = A
fsub.x %fp4,%fp1 # fp1 = a := r - p
#--Now we need to normalize (A,a) to "new (R,r)" where R+r = A+a but
#--|r| <= half ulp of R.
fadd.x %fp1,%fp0 # fp0 = R := A+a
#--No need to calculate r if this is the last loop
cmp.b %d1,&0
bgt.w RESTORE
#--Need to calculate r
fsub.x %fp0,%fp3 # fp3 = A-R
fadd.x %fp3,%fp1 # fp1 = r := (A-R)+a
bra.w LOOP
RESTORE:
fmov.l %fp2,INT(%a6)
mov.l (%sp)+,%d2 # restore d2
fmovm.x (%sp)+,&0x3c # restore {fp2-fp5}
mov.l INT(%a6),%d1
ror.l &1,%d1
bra.w TANCONT
#########################################################################
# satan(): computes the arctangent of a normalized number #
# satand(): computes the arctangent of a denormalized number #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# d0 = round precision,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = arctan(X) #
# #
# ACCURACY and MONOTONICITY ******************************************* #
# The returned result is within 2 ulps in 64 significant bit, #
# i.e. within 0.5001 ulp to 53 bits if the result is subsequently #
# rounded to double precision. The result is provably monotonic #
# in double precision. #
# #
# ALGORITHM *********************************************************** #
# Step 1. If |X| >= 16 or |X| < 1/16, go to Step 5. #
# #
# Step 2. Let X = sgn * 2**k * 1.xxxxxxxx...x. #
# Note that k = -4, -3,..., or 3. #
# Define F = sgn * 2**k * 1.xxxx1, i.e. the first 5 #
# significant bits of X with a bit-1 attached at the 6-th #
# bit position. Define u to be u = (X-F) / (1 + X*F). #
# #
# Step 3. Approximate arctan(u) by a polynomial poly. #
# #
# Step 4. Return arctan(F) + poly, arctan(F) is fetched from a #
# table of values calculated beforehand. Exit. #
# #
# Step 5. If |X| >= 16, go to Step 7. #
# #
# Step 6. Approximate arctan(X) by an odd polynomial in X. Exit. #
# #
# Step 7. Define X' = -1/X. Approximate arctan(X') by an odd #
# polynomial in X'. #
# Arctan(X) = sign(X)*Pi/2 + arctan(X'). Exit. #
# #
#########################################################################
ATANA3: long 0xBFF6687E,0x314987D8
ATANA2: long 0x4002AC69,0x34A26DB3
ATANA1: long 0xBFC2476F,0x4E1DA28E
ATANB6: long 0x3FB34444,0x7F876989
ATANB5: long 0xBFB744EE,0x7FAF45DB
ATANB4: long 0x3FBC71C6,0x46940220
ATANB3: long 0xBFC24924,0x921872F9
ATANB2: long 0x3FC99999,0x99998FA9
ATANB1: long 0xBFD55555,0x55555555
ATANC5: long 0xBFB70BF3,0x98539E6A
ATANC4: long 0x3FBC7187,0x962D1D7D
ATANC3: long 0xBFC24924,0x827107B8
ATANC2: long 0x3FC99999,0x9996263E
ATANC1: long 0xBFD55555,0x55555536
PPIBY2: long 0x3FFF0000,0xC90FDAA2,0x2168C235,0x00000000
NPIBY2: long 0xBFFF0000,0xC90FDAA2,0x2168C235,0x00000000
PTINY: long 0x00010000,0x80000000,0x00000000,0x00000000
NTINY: long 0x80010000,0x80000000,0x00000000,0x00000000
ATANTBL:
long 0x3FFB0000,0x83D152C5,0x060B7A51,0x00000000
long 0x3FFB0000,0x8BC85445,0x65498B8B,0x00000000
long 0x3FFB0000,0x93BE4060,0x17626B0D,0x00000000
long 0x3FFB0000,0x9BB3078D,0x35AEC202,0x00000000
long 0x3FFB0000,0xA3A69A52,0x5DDCE7DE,0x00000000
long 0x3FFB0000,0xAB98E943,0x62765619,0x00000000
long 0x3FFB0000,0xB389E502,0xF9C59862,0x00000000
long 0x3FFB0000,0xBB797E43,0x6B09E6FB,0x00000000
long 0x3FFB0000,0xC367A5C7,0x39E5F446,0x00000000
long 0x3FFB0000,0xCB544C61,0xCFF7D5C6,0x00000000
long 0x3FFB0000,0xD33F62F8,0x2488533E,0x00000000
long 0x3FFB0000,0xDB28DA81,0x62404C77,0x00000000
long 0x3FFB0000,0xE310A407,0x8AD34F18,0x00000000
long 0x3FFB0000,0xEAF6B0A8,0x188EE1EB,0x00000000
long 0x3FFB0000,0xF2DAF194,0x9DBE79D5,0x00000000
long 0x3FFB0000,0xFABD5813,0x61D47E3E,0x00000000
long 0x3FFC0000,0x8346AC21,0x0959ECC4,0x00000000
long 0x3FFC0000,0x8B232A08,0x304282D8,0x00000000
long 0x3FFC0000,0x92FB70B8,0xD29AE2F9,0x00000000
long 0x3FFC0000,0x9ACF476F,0x5CCD1CB4,0x00000000
long 0x3FFC0000,0xA29E7630,0x4954F23F,0x00000000
long 0x3FFC0000,0xAA68C5D0,0x8AB85230,0x00000000
long 0x3FFC0000,0xB22DFFFD,0x9D539F83,0x00000000
long 0x3FFC0000,0xB9EDEF45,0x3E900EA5,0x00000000
long 0x3FFC0000,0xC1A85F1C,0xC75E3EA5,0x00000000
long 0x3FFC0000,0xC95D1BE8,0x28138DE6,0x00000000
long 0x3FFC0000,0xD10BF300,0x840D2DE4,0x00000000
long 0x3FFC0000,0xD8B4B2BA,0x6BC05E7A,0x00000000
long 0x3FFC0000,0xE0572A6B,0xB42335F6,0x00000000
long 0x3FFC0000,0xE7F32A70,0xEA9CAA8F,0x00000000
long 0x3FFC0000,0xEF888432,0x64ECEFAA,0x00000000
long 0x3FFC0000,0xF7170A28,0xECC06666,0x00000000
long 0x3FFD0000,0x812FD288,0x332DAD32,0x00000000
long 0x3FFD0000,0x88A8D1B1,0x218E4D64,0x00000000
long 0x3FFD0000,0x9012AB3F,0x23E4AEE8,0x00000000
long 0x3FFD0000,0x976CC3D4,0x11E7F1B9,0x00000000
long 0x3FFD0000,0x9EB68949,0x3889A227,0x00000000
long 0x3FFD0000,0xA5EF72C3,0x4487361B,0x00000000
long 0x3FFD0000,0xAD1700BA,0xF07A7227,0x00000000
long 0x3FFD0000,0xB42CBCFA,0xFD37EFB7,0x00000000
long 0x3FFD0000,0xBB303A94,0x0BA80F89,0x00000000
long 0x3FFD0000,0xC22115C6,0xFCAEBBAF,0x00000000
long 0x3FFD0000,0xC8FEF3E6,0x86331221,0x00000000
long 0x3FFD0000,0xCFC98330,0xB4000C70,0x00000000
long 0x3FFD0000,0xD6807AA1,0x102C5BF9,0x00000000
long 0x3FFD0000,0xDD2399BC,0x31252AA3,0x00000000
long 0x3FFD0000,0xE3B2A855,0x6B8FC517,0x00000000
long 0x3FFD0000,0xEA2D764F,0x64315989,0x00000000
long 0x3FFD0000,0xF3BF5BF8,0xBAD1A21D,0x00000000
long 0x3FFE0000,0x801CE39E,0x0D205C9A,0x00000000
long 0x3FFE0000,0x8630A2DA,0xDA1ED066,0x00000000
long 0x3FFE0000,0x8C1AD445,0xF3E09B8C,0x00000000
long 0x3FFE0000,0x91DB8F16,0x64F350E2,0x00000000
long 0x3FFE0000,0x97731420,0x365E538C,0x00000000
long 0x3FFE0000,0x9CE1C8E6,0xA0B8CDBA,0x00000000
long 0x3FFE0000,0xA22832DB,0xCADAAE09,0x00000000
long 0x3FFE0000,0xA746F2DD,0xB7602294,0x00000000
long 0x3FFE0000,0xAC3EC0FB,0x997DD6A2,0x00000000
long 0x3FFE0000,0xB110688A,0xEBDC6F6A,0x00000000
long 0x3FFE0000,0xB5BCC490,0x59ECC4B0,0x00000000
long 0x3FFE0000,0xBA44BC7D,0xD470782F,0x00000000
long 0x3FFE0000,0xBEA94144,0xFD049AAC,0x00000000
long 0x3FFE0000,0xC2EB4ABB,0x661628B6,0x00000000
long 0x3FFE0000,0xC70BD54C,0xE602EE14,0x00000000
long 0x3FFE0000,0xCD000549,0xADEC7159,0x00000000
long 0x3FFE0000,0xD48457D2,0xD8EA4EA3,0x00000000
long 0x3FFE0000,0xDB948DA7,0x12DECE3B,0x00000000
long 0x3FFE0000,0xE23855F9,0x69E8096A,0x00000000
long 0x3FFE0000,0xE8771129,0xC4353259,0x00000000
long 0x3FFE0000,0xEE57C16E,0x0D379C0D,0x00000000
long 0x3FFE0000,0xF3E10211,0xA87C3779,0x00000000
long 0x3FFE0000,0xF919039D,0x758B8D41,0x00000000
long 0x3FFE0000,0xFE058B8F,0x64935FB3,0x00000000
long 0x3FFF0000,0x8155FB49,0x7B685D04,0x00000000
long 0x3FFF0000,0x83889E35,0x49D108E1,0x00000000
long 0x3FFF0000,0x859CFA76,0x511D724B,0x00000000
long 0x3FFF0000,0x87952ECF,0xFF8131E7,0x00000000
long 0x3FFF0000,0x89732FD1,0x9557641B,0x00000000
long 0x3FFF0000,0x8B38CAD1,0x01932A35,0x00000000
long 0x3FFF0000,0x8CE7A8D8,0x301EE6B5,0x00000000
long 0x3FFF0000,0x8F46A39E,0x2EAE5281,0x00000000
long 0x3FFF0000,0x922DA7D7,0x91888487,0x00000000
long 0x3FFF0000,0x94D19FCB,0xDEDF5241,0x00000000
long 0x3FFF0000,0x973AB944,0x19D2A08B,0x00000000
long 0x3FFF0000,0x996FF00E,0x08E10B96,0x00000000
long 0x3FFF0000,0x9B773F95,0x12321DA7,0x00000000
long 0x3FFF0000,0x9D55CC32,0x0F935624,0x00000000
long 0x3FFF0000,0x9F100575,0x006CC571,0x00000000
long 0x3FFF0000,0xA0A9C290,0xD97CC06C,0x00000000
long 0x3FFF0000,0xA22659EB,0xEBC0630A,0x00000000
long 0x3FFF0000,0xA388B4AF,0xF6EF0EC9,0x00000000
long 0x3FFF0000,0xA4D35F10,0x61D292C4,0x00000000
long 0x3FFF0000,0xA60895DC,0xFBE3187E,0x00000000
long 0x3FFF0000,0xA72A51DC,0x7367BEAC,0x00000000
long 0x3FFF0000,0xA83A5153,0x0956168F,0x00000000
long 0x3FFF0000,0xA93A2007,0x7539546E,0x00000000
long 0x3FFF0000,0xAA9E7245,0x023B2605,0x00000000
long 0x3FFF0000,0xAC4C84BA,0x6FE4D58F,0x00000000
long 0x3FFF0000,0xADCE4A4A,0x606B9712,0x00000000
long 0x3FFF0000,0xAF2A2DCD,0x8D263C9C,0x00000000
long 0x3FFF0000,0xB0656F81,0xF22265C7,0x00000000
long 0x3FFF0000,0xB1846515,0x0F71496A,0x00000000
long 0x3FFF0000,0xB28AAA15,0x6F9ADA35,0x00000000
long 0x3FFF0000,0xB37B44FF,0x3766B895,0x00000000
long 0x3FFF0000,0xB458C3DC,0xE9630433,0x00000000
long 0x3FFF0000,0xB525529D,0x562246BD,0x00000000
long 0x3FFF0000,0xB5E2CCA9,0x5F9D88CC,0x00000000
long 0x3FFF0000,0xB692CADA,0x7ACA1ADA,0x00000000
long 0x3FFF0000,0xB736AEA7,0xA6925838,0x00000000
long 0x3FFF0000,0xB7CFAB28,0x7E9F7B36,0x00000000
long 0x3FFF0000,0xB85ECC66,0xCB219835,0x00000000
long 0x3FFF0000,0xB8E4FD5A,0x20A593DA,0x00000000
long 0x3FFF0000,0xB99F41F6,0x4AFF9BB5,0x00000000
long 0x3FFF0000,0xBA7F1E17,0x842BBE7B,0x00000000
long 0x3FFF0000,0xBB471285,0x7637E17D,0x00000000
long 0x3FFF0000,0xBBFABE8A,0x4788DF6F,0x00000000
long 0x3FFF0000,0xBC9D0FAD,0x2B689D79,0x00000000
long 0x3FFF0000,0xBD306A39,0x471ECD86,0x00000000
long 0x3FFF0000,0xBDB6C731,0x856AF18A,0x00000000
long 0x3FFF0000,0xBE31CAC5,0x02E80D70,0x00000000
long 0x3FFF0000,0xBEA2D55C,0xE33194E2,0x00000000
long 0x3FFF0000,0xBF0B10B7,0xC03128F0,0x00000000
long 0x3FFF0000,0xBF6B7A18,0xDACB778D,0x00000000
long 0x3FFF0000,0xBFC4EA46,0x63FA18F6,0x00000000
long 0x3FFF0000,0xC0181BDE,0x8B89A454,0x00000000
long 0x3FFF0000,0xC065B066,0xCFBF6439,0x00000000
long 0x3FFF0000,0xC0AE345F,0x56340AE6,0x00000000
long 0x3FFF0000,0xC0F22291,0x9CB9E6A7,0x00000000
set X,FP_SCR0
set XDCARE,X+2
set XFRAC,X+4
set XFRACLO,X+8
set ATANF,FP_SCR1
set ATANFHI,ATANF+4
set ATANFLO,ATANF+8
global satan
#--ENTRY POINT FOR ATAN(X), HERE X IS FINITE, NON-ZERO, AND NOT NAN'S
satan:
fmov.x (%a0),%fp0 # LOAD INPUT
mov.l (%a0),%d1
mov.w 4(%a0),%d1
fmov.x %fp0,X(%a6)
and.l &0x7FFFFFFF,%d1
cmp.l %d1,&0x3FFB8000 # |X| >= 1/16?
bge.b ATANOK1
bra.w ATANSM
ATANOK1:
cmp.l %d1,&0x4002FFFF # |X| < 16 ?
ble.b ATANMAIN
bra.w ATANBIG
#--THE MOST LIKELY CASE, |X| IN [1/16, 16). WE USE TABLE TECHNIQUE
#--THE IDEA IS ATAN(X) = ATAN(F) + ATAN( [X-F] / [1+XF] ).
#--SO IF F IS CHOSEN TO BE CLOSE TO X AND ATAN(F) IS STORED IN
#--A TABLE, ALL WE NEED IS TO APPROXIMATE ATAN(U) WHERE
#--U = (X-F)/(1+XF) IS SMALL (REMEMBER F IS CLOSE TO X). IT IS
#--TRUE THAT A DIVIDE IS NOW NEEDED, BUT THE APPROXIMATION FOR
#--ATAN(U) IS A VERY SHORT POLYNOMIAL AND THE INDEXING TO
#--FETCH F AND SAVING OF REGISTERS CAN BE ALL HIDED UNDER THE
#--DIVIDE. IN THE END THIS METHOD IS MUCH FASTER THAN A TRADITIONAL
#--ONE. NOTE ALSO THAT THE TRADITIONAL SCHEME THAT APPROXIMATE
#--ATAN(X) DIRECTLY WILL NEED TO USE A RATIONAL APPROXIMATION
#--(DIVISION NEEDED) ANYWAY BECAUSE A POLYNOMIAL APPROXIMATION
#--WILL INVOLVE A VERY LONG POLYNOMIAL.
#--NOW WE SEE X AS +-2^K * 1.BBBBBBB....B <- 1. + 63 BITS
#--WE CHOSE F TO BE +-2^K * 1.BBBB1
#--THAT IS IT MATCHES THE EXPONENT AND FIRST 5 BITS OF X, THE
#--SIXTH BITS IS SET TO BE 1. SINCE K = -4, -3, ..., 3, THERE
#--ARE ONLY 8 TIMES 16 = 2^7 = 128 |F|'S. SINCE ATAN(-|F|) IS
#-- -ATAN(|F|), WE NEED TO STORE ONLY ATAN(|F|).
ATANMAIN:
and.l &0xF8000000,XFRAC(%a6) # FIRST 5 BITS
or.l &0x04000000,XFRAC(%a6) # SET 6-TH BIT TO 1
mov.l &0x00000000,XFRACLO(%a6) # LOCATION OF X IS NOW F
fmov.x %fp0,%fp1 # FP1 IS X
fmul.x X(%a6),%fp1 # FP1 IS X*F, NOTE THAT X*F > 0
fsub.x X(%a6),%fp0 # FP0 IS X-F
fadd.s &0x3F800000,%fp1 # FP1 IS 1 + X*F
fdiv.x %fp1,%fp0 # FP0 IS U = (X-F)/(1+X*F)
#--WHILE THE DIVISION IS TAKING ITS TIME, WE FETCH ATAN(|F|)
#--CREATE ATAN(F) AND STORE IT IN ATANF, AND
#--SAVE REGISTERS FP2.
mov.l %d2,-(%sp) # SAVE d2 TEMPORARILY
mov.l %d1,%d2 # THE EXP AND 16 BITS OF X
and.l &0x00007800,%d1 # 4 VARYING BITS OF F'S FRACTION
and.l &0x7FFF0000,%d2 # EXPONENT OF F
sub.l &0x3FFB0000,%d2 # K+4
asr.l &1,%d2
add.l %d2,%d1 # THE 7 BITS IDENTIFYING F
asr.l &7,%d1 # INDEX INTO TBL OF ATAN(|F|)
lea ATANTBL(%pc),%a1
add.l %d1,%a1 # ADDRESS OF ATAN(|F|)
mov.l (%a1)+,ATANF(%a6)
mov.l (%a1)+,ATANFHI(%a6)
mov.l (%a1)+,ATANFLO(%a6) # ATANF IS NOW ATAN(|F|)
mov.l X(%a6),%d1 # LOAD SIGN AND EXPO. AGAIN
and.l &0x80000000,%d1 # SIGN(F)
or.l %d1,ATANF(%a6) # ATANF IS NOW SIGN(F)*ATAN(|F|)
mov.l (%sp)+,%d2 # RESTORE d2
#--THAT'S ALL I HAVE TO DO FOR NOW,
#--BUT ALAS, THE DIVIDE IS STILL CRANKING!
#--U IN FP0, WE ARE NOW READY TO COMPUTE ATAN(U) AS
#--U + A1*U*V*(A2 + V*(A3 + V)), V = U*U
#--THE POLYNOMIAL MAY LOOK STRANGE, BUT IS NEVERTHELESS CORRECT.
#--THE NATURAL FORM IS U + U*V*(A1 + V*(A2 + V*A3))
#--WHAT WE HAVE HERE IS MERELY A1 = A3, A2 = A1/A3, A3 = A2/A3.
#--THE REASON FOR THIS REARRANGEMENT IS TO MAKE THE INDEPENDENT
#--PARTS A1*U*V AND (A2 + ... STUFF) MORE LOAD-BALANCED
fmovm.x &0x04,-(%sp) # save fp2
fmov.x %fp0,%fp1
fmul.x %fp1,%fp1
fmov.d ATANA3(%pc),%fp2
fadd.x %fp1,%fp2 # A3+V
fmul.x %fp1,%fp2 # V*(A3+V)
fmul.x %fp0,%fp1 # U*V
fadd.d ATANA2(%pc),%fp2 # A2+V*(A3+V)
fmul.d ATANA1(%pc),%fp1 # A1*U*V
fmul.x %fp2,%fp1 # A1*U*V*(A2+V*(A3+V))
fadd.x %fp1,%fp0 # ATAN(U), FP1 RELEASED
fmovm.x (%sp)+,&0x20 # restore fp2
fmov.l %d0,%fpcr # restore users rnd mode,prec
fadd.x ATANF(%a6),%fp0 # ATAN(X)
bra t_inx2
ATANBORS:
#--|X| IS IN d0 IN COMPACT FORM. FP1, d0 SAVED.
#--FP0 IS X AND |X| <= 1/16 OR |X| >= 16.
cmp.l %d1,&0x3FFF8000
bgt.w ATANBIG # I.E. |X| >= 16
ATANSM:
#--|X| <= 1/16
#--IF |X| < 2^(-40), RETURN X AS ANSWER. OTHERWISE, APPROXIMATE
#--ATAN(X) BY X + X*Y*(B1+Y*(B2+Y*(B3+Y*(B4+Y*(B5+Y*B6)))))
#--WHICH IS X + X*Y*( [B1+Z*(B3+Z*B5)] + [Y*(B2+Z*(B4+Z*B6)] )
#--WHERE Y = X*X, AND Z = Y*Y.
cmp.l %d1,&0x3FD78000
blt.w ATANTINY
#--COMPUTE POLYNOMIAL
fmovm.x &0x0c,-(%sp) # save fp2/fp3
fmul.x %fp0,%fp0 # FPO IS Y = X*X
fmov.x %fp0,%fp1
fmul.x %fp1,%fp1 # FP1 IS Z = Y*Y
fmov.d ATANB6(%pc),%fp2
fmov.d ATANB5(%pc),%fp3
fmul.x %fp1,%fp2 # Z*B6
fmul.x %fp1,%fp3 # Z*B5
fadd.d ATANB4(%pc),%fp2 # B4+Z*B6
fadd.d ATANB3(%pc),%fp3 # B3+Z*B5
fmul.x %fp1,%fp2 # Z*(B4+Z*B6)
fmul.x %fp3,%fp1 # Z*(B3+Z*B5)
fadd.d ATANB2(%pc),%fp2 # B2+Z*(B4+Z*B6)
fadd.d ATANB1(%pc),%fp1 # B1+Z*(B3+Z*B5)
fmul.x %fp0,%fp2 # Y*(B2+Z*(B4+Z*B6))
fmul.x X(%a6),%fp0 # X*Y
fadd.x %fp2,%fp1 # [B1+Z*(B3+Z*B5)]+[Y*(B2+Z*(B4+Z*B6))]
fmul.x %fp1,%fp0 # X*Y*([B1+Z*(B3+Z*B5)]+[Y*(B2+Z*(B4+Z*B6))])
fmovm.x (%sp)+,&0x30 # restore fp2/fp3
fmov.l %d0,%fpcr # restore users rnd mode,prec
fadd.x X(%a6),%fp0
bra t_inx2
ATANTINY:
#--|X| < 2^(-40), ATAN(X) = X
fmov.l %d0,%fpcr # restore users rnd mode,prec
mov.b &FMOV_OP,%d1 # last inst is MOVE
fmov.x X(%a6),%fp0 # last inst - possible exception set
bra t_catch
ATANBIG:
#--IF |X| > 2^(100), RETURN SIGN(X)*(PI/2 - TINY). OTHERWISE,
#--RETURN SIGN(X)*PI/2 + ATAN(-1/X).
cmp.l %d1,&0x40638000
bgt.w ATANHUGE
#--APPROXIMATE ATAN(-1/X) BY
#--X'+X'*Y*(C1+Y*(C2+Y*(C3+Y*(C4+Y*C5)))), X' = -1/X, Y = X'*X'
#--THIS CAN BE RE-WRITTEN AS
#--X'+X'*Y*( [C1+Z*(C3+Z*C5)] + [Y*(C2+Z*C4)] ), Z = Y*Y.
fmovm.x &0x0c,-(%sp) # save fp2/fp3
fmov.s &0xBF800000,%fp1 # LOAD -1
fdiv.x %fp0,%fp1 # FP1 IS -1/X
#--DIVIDE IS STILL CRANKING
fmov.x %fp1,%fp0 # FP0 IS X'
fmul.x %fp0,%fp0 # FP0 IS Y = X'*X'
fmov.x %fp1,X(%a6) # X IS REALLY X'
fmov.x %fp0,%fp1
fmul.x %fp1,%fp1 # FP1 IS Z = Y*Y
fmov.d ATANC5(%pc),%fp3
fmov.d ATANC4(%pc),%fp2
fmul.x %fp1,%fp3 # Z*C5
fmul.x %fp1,%fp2 # Z*B4
fadd.d ATANC3(%pc),%fp3 # C3+Z*C5
fadd.d ATANC2(%pc),%fp2 # C2+Z*C4
fmul.x %fp3,%fp1 # Z*(C3+Z*C5), FP3 RELEASED
fmul.x %fp0,%fp2 # Y*(C2+Z*C4)
fadd.d ATANC1(%pc),%fp1 # C1+Z*(C3+Z*C5)
fmul.x X(%a6),%fp0 # X'*Y
fadd.x %fp2,%fp1 # [Y*(C2+Z*C4)]+[C1+Z*(C3+Z*C5)]
fmul.x %fp1,%fp0 # X'*Y*([B1+Z*(B3+Z*B5)]
# ... +[Y*(B2+Z*(B4+Z*B6))])
fadd.x X(%a6),%fp0
fmovm.x (%sp)+,&0x30 # restore fp2/fp3
fmov.l %d0,%fpcr # restore users rnd mode,prec
tst.b (%a0)
bpl.b pos_big
neg_big:
fadd.x NPIBY2(%pc),%fp0
bra t_minx2
pos_big:
fadd.x PPIBY2(%pc),%fp0
bra t_pinx2
ATANHUGE:
#--RETURN SIGN(X)*(PIBY2 - TINY) = SIGN(X)*PIBY2 - SIGN(X)*TINY
tst.b (%a0)
bpl.b pos_huge
neg_huge:
fmov.x NPIBY2(%pc),%fp0
fmov.l %d0,%fpcr
fadd.x PTINY(%pc),%fp0
bra t_minx2
pos_huge:
fmov.x PPIBY2(%pc),%fp0
fmov.l %d0,%fpcr
fadd.x NTINY(%pc),%fp0
bra t_pinx2
global satand
#--ENTRY POINT FOR ATAN(X) FOR DENORMALIZED ARGUMENT
satand:
bra t_extdnrm
#########################################################################
# sasin(): computes the inverse sine of a normalized input #
# sasind(): computes the inverse sine of a denormalized input #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# d0 = round precision,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = arcsin(X) #
# #
# ACCURACY and MONOTONICITY ******************************************* #
# The returned result is within 3 ulps in 64 significant bit, #
# i.e. within 0.5001 ulp to 53 bits if the result is subsequently #
# rounded to double precision. The result is provably monotonic #
# in double precision. #
# #
# ALGORITHM *********************************************************** #
# #
# ASIN #
# 1. If |X| >= 1, go to 3. #
# #
# 2. (|X| < 1) Calculate asin(X) by #
# z := sqrt( [1-X][1+X] ) #
# asin(X) = atan( x / z ). #
# Exit. #
# #
# 3. If |X| > 1, go to 5. #
# #
# 4. (|X| = 1) sgn := sign(X), return asin(X) := sgn * Pi/2. Exit.#
# #
# 5. (|X| > 1) Generate an invalid operation by 0 * infinity. #
# Exit. #
# #
#########################################################################
global sasin
sasin:
fmov.x (%a0),%fp0 # LOAD INPUT
mov.l (%a0),%d1
mov.w 4(%a0),%d1
and.l &0x7FFFFFFF,%d1
cmp.l %d1,&0x3FFF8000
bge.b ASINBIG
# This catch is added here for the '060 QSP. Originally, the call to
# satan() would handle this case by causing the exception which would
# not be caught until gen_except(). Now, with the exceptions being
# detected inside of satan(), the exception would have been handled there
# instead of inside sasin() as expected.
cmp.l %d1,&0x3FD78000
blt.w ASINTINY
#--THIS IS THE USUAL CASE, |X| < 1
#--ASIN(X) = ATAN( X / SQRT( (1-X)(1+X) ) )
ASINMAIN:
fmov.s &0x3F800000,%fp1
fsub.x %fp0,%fp1 # 1-X
fmovm.x &0x4,-(%sp) # {fp2}
fmov.s &0x3F800000,%fp2
fadd.x %fp0,%fp2 # 1+X
fmul.x %fp2,%fp1 # (1+X)(1-X)
fmovm.x (%sp)+,&0x20 # {fp2}
fsqrt.x %fp1 # SQRT([1-X][1+X])
fdiv.x %fp1,%fp0 # X/SQRT([1-X][1+X])
fmovm.x &0x01,-(%sp) # save X/SQRT(...)
lea (%sp),%a0 # pass ptr to X/SQRT(...)
bsr satan
add.l &0xc,%sp # clear X/SQRT(...) from stack
bra t_inx2
ASINBIG:
fabs.x %fp0 # |X|
fcmp.s %fp0,&0x3F800000
fbgt t_operr # cause an operr exception
#--|X| = 1, ASIN(X) = +- PI/2.
ASINONE:
fmov.x PIBY2(%pc),%fp0
mov.l (%a0),%d1
and.l &0x80000000,%d1 # SIGN BIT OF X
or.l &0x3F800000,%d1 # +-1 IN SGL FORMAT
mov.l %d1,-(%sp) # push SIGN(X) IN SGL-FMT
fmov.l %d0,%fpcr
fmul.s (%sp)+,%fp0
bra t_inx2
#--|X| < 2^(-40), ATAN(X) = X
ASINTINY:
fmov.l %d0,%fpcr # restore users rnd mode,prec
mov.b &FMOV_OP,%d1 # last inst is MOVE
fmov.x (%a0),%fp0 # last inst - possible exception
bra t_catch
global sasind
#--ASIN(X) = X FOR DENORMALIZED X
sasind:
bra t_extdnrm
#########################################################################
# sacos(): computes the inverse cosine of a normalized input #
# sacosd(): computes the inverse cosine of a denormalized input #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# d0 = round precision,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = arccos(X) #
# #
# ACCURACY and MONOTONICITY ******************************************* #
# The returned result is within 3 ulps in 64 significant bit, #
# i.e. within 0.5001 ulp to 53 bits if the result is subsequently #
# rounded to double precision. The result is provably monotonic #
# in double precision. #
# #
# ALGORITHM *********************************************************** #
# #
# ACOS #
# 1. If |X| >= 1, go to 3. #
# #
# 2. (|X| < 1) Calculate acos(X) by #
# z := (1-X) / (1+X) #
# acos(X) = 2 * atan( sqrt(z) ). #
# Exit. #
# #
# 3. If |X| > 1, go to 5. #
# #
# 4. (|X| = 1) If X > 0, return 0. Otherwise, return Pi. Exit. #
# #
# 5. (|X| > 1) Generate an invalid operation by 0 * infinity. #
# Exit. #
# #
#########################################################################
global sacos
sacos:
fmov.x (%a0),%fp0 # LOAD INPUT
mov.l (%a0),%d1 # pack exp w/ upper 16 fraction
mov.w 4(%a0),%d1
and.l &0x7FFFFFFF,%d1
cmp.l %d1,&0x3FFF8000
bge.b ACOSBIG
#--THIS IS THE USUAL CASE, |X| < 1
#--ACOS(X) = 2 * ATAN( SQRT( (1-X)/(1+X) ) )
ACOSMAIN:
fmov.s &0x3F800000,%fp1
fadd.x %fp0,%fp1 # 1+X
fneg.x %fp0 # -X
fadd.s &0x3F800000,%fp0 # 1-X
fdiv.x %fp1,%fp0 # (1-X)/(1+X)
fsqrt.x %fp0 # SQRT((1-X)/(1+X))
mov.l %d0,-(%sp) # save original users fpcr
clr.l %d0
fmovm.x &0x01,-(%sp) # save SQRT(...) to stack
lea (%sp),%a0 # pass ptr to sqrt
bsr satan # ATAN(SQRT([1-X]/[1+X]))
add.l &0xc,%sp # clear SQRT(...) from stack
fmov.l (%sp)+,%fpcr # restore users round prec,mode
fadd.x %fp0,%fp0 # 2 * ATAN( STUFF )
bra t_pinx2
ACOSBIG:
fabs.x %fp0
fcmp.s %fp0,&0x3F800000
fbgt t_operr # cause an operr exception
#--|X| = 1, ACOS(X) = 0 OR PI
tst.b (%a0) # is X positive or negative?
bpl.b ACOSP1
#--X = -1
#Returns PI and inexact exception
ACOSM1:
fmov.x PI(%pc),%fp0 # load PI
fmov.l %d0,%fpcr # load round mode,prec
fadd.s &0x00800000,%fp0 # add a small value
bra t_pinx2
ACOSP1:
bra ld_pzero # answer is positive zero
global sacosd
#--ACOS(X) = PI/2 FOR DENORMALIZED X
sacosd:
fmov.l %d0,%fpcr # load user's rnd mode/prec
fmov.x PIBY2(%pc),%fp0
bra t_pinx2
#########################################################################
# setox(): computes the exponential for a normalized input #
# setoxd(): computes the exponential for a denormalized input #
# setoxm1(): computes the exponential minus 1 for a normalized input #
# setoxm1d(): computes the exponential minus 1 for a denormalized input #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# d0 = round precision,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = exp(X) or exp(X)-1 #
# #
# ACCURACY and MONOTONICITY ******************************************* #
# The returned result is within 0.85 ulps in 64 significant bit, #
# i.e. within 0.5001 ulp to 53 bits if the result is subsequently #
# rounded to double precision. The result is provably monotonic #
# in double precision. #
# #
# ALGORITHM and IMPLEMENTATION **************************************** #
# #
# setoxd #
# ------ #
# Step 1. Set ans := 1.0 #
# #
# Step 2. Return ans := ans + sign(X)*2^(-126). Exit. #
# Notes: This will always generate one exception -- inexact. #
# #
# #
# setox #
# ----- #
# #
# Step 1. Filter out extreme cases of input argument. #
# 1.1 If |X| >= 2^(-65), go to Step 1.3. #
# 1.2 Go to Step 7. #
# 1.3 If |X| < 16380 log(2), go to Step 2. #
# 1.4 Go to Step 8. #
# Notes: The usual case should take the branches 1.1 -> 1.3 -> 2.#
# To avoid the use of floating-point comparisons, a #
# compact representation of |X| is used. This format is a #
# 32-bit integer, the upper (more significant) 16 bits #
# are the sign and biased exponent field of |X|; the #
# lower 16 bits are the 16 most significant fraction #
# (including the explicit bit) bits of |X|. Consequently, #
# the comparisons in Steps 1.1 and 1.3 can be performed #
# by integer comparison. Note also that the constant #
# 16380 log(2) used in Step 1.3 is also in the compact #
# form. Thus taking the branch to Step 2 guarantees #
# |X| < 16380 log(2). There is no harm to have a small #
# number of cases where |X| is less than, but close to, #
# 16380 log(2) and the branch to Step 9 is taken. #
# #
# Step 2. Calculate N = round-to-nearest-int( X * 64/log2 ). #
# 2.1 Set AdjFlag := 0 (indicates the branch 1.3 -> 2 #
# was taken) #
# 2.2 N := round-to-nearest-integer( X * 64/log2 ). #
# 2.3 Calculate J = N mod 64; so J = 0,1,2,..., #
# or 63. #
# 2.4 Calculate M = (N - J)/64; so N = 64M + J. #
# 2.5 Calculate the address of the stored value of #
# 2^(J/64). #
# 2.6 Create the value Scale = 2^M. #
# Notes: The calculation in 2.2 is really performed by #
# Z := X * constant #
# N := round-to-nearest-integer(Z) #
# where #
# constant := single-precision( 64/log 2 ). #
# #
# Using a single-precision constant avoids memory #
# access. Another effect of using a single-precision #
# "constant" is that the calculated value Z is #
# #
# Z = X*(64/log2)*(1+eps), |eps| <= 2^(-24). #
# #
# This error has to be considered later in Steps 3 and 4. #
# #
# Step 3. Calculate X - N*log2/64. #
# 3.1 R := X + N*L1, #
# where L1 := single-precision(-log2/64). #
# 3.2 R := R + N*L2, #
# L2 := extended-precision(-log2/64 - L1).#
# Notes: a) The way L1 and L2 are chosen ensures L1+L2 #
# approximate the value -log2/64 to 88 bits of accuracy. #
# b) N*L1 is exact because N is no longer than 22 bits #
# and L1 is no longer than 24 bits. #
# c) The calculation X+N*L1 is also exact due to #
# cancellation. Thus, R is practically X+N(L1+L2) to full #
# 64 bits. #
# d) It is important to estimate how large can |R| be #
# after Step 3.2. #
# #
# N = rnd-to-int( X*64/log2 (1+eps) ), |eps|<=2^(-24) #
# X*64/log2 (1+eps) = N + f, |f| <= 0.5 #
# X*64/log2 - N = f - eps*X 64/log2 #
# X - N*log2/64 = f*log2/64 - eps*X #
# #
# #
# Now |X| <= 16446 log2, thus #
# #
# |X - N*log2/64| <= (0.5 + 16446/2^(18))*log2/64 #
# <= 0.57 log2/64. #
# This bound will be used in Step 4. #
# #
# Step 4. Approximate exp(R)-1 by a polynomial #
# p = R + R*R*(A1 + R*(A2 + R*(A3 + R*(A4 + R*A5)))) #
# Notes: a) In order to reduce memory access, the coefficients #
# are made as "short" as possible: A1 (which is 1/2), A4 #
# and A5 are single precision; A2 and A3 are double #
# precision. #
# b) Even with the restrictions above, #
# |p - (exp(R)-1)| < 2^(-68.8) for all |R| <= 0.0062. #
# Note that 0.0062 is slightly bigger than 0.57 log2/64. #
# c) To fully utilize the pipeline, p is separated into #
# two independent pieces of roughly equal complexities #
# p = [ R + R*S*(A2 + S*A4) ] + #
# [ S*(A1 + S*(A3 + S*A5)) ] #
# where S = R*R. #
# #
# Step 5. Compute 2^(J/64)*exp(R) = 2^(J/64)*(1+p) by #
# ans := T + ( T*p + t) #
# where T and t are the stored values for 2^(J/64). #
# Notes: 2^(J/64) is stored as T and t where T+t approximates #
# 2^(J/64) to roughly 85 bits; T is in extended precision #
# and t is in single precision. Note also that T is #
# rounded to 62 bits so that the last two bits of T are #
# zero. The reason for such a special form is that T-1, #
# T-2, and T-8 will all be exact --- a property that will #
# give much more accurate computation of the function #
# EXPM1. #
# #
# Step 6. Reconstruction of exp(X) #
# exp(X) = 2^M * 2^(J/64) * exp(R). #
# 6.1 If AdjFlag = 0, go to 6.3 #
# 6.2 ans := ans * AdjScale #
# 6.3 Restore the user FPCR #
# 6.4 Return ans := ans * Scale. Exit. #
# Notes: If AdjFlag = 0, we have X = Mlog2 + Jlog2/64 + R, #
# |M| <= 16380, and Scale = 2^M. Moreover, exp(X) will #
# neither overflow nor underflow. If AdjFlag = 1, that #
# means that #
# X = (M1+M)log2 + Jlog2/64 + R, |M1+M| >= 16380. #
# Hence, exp(X) may overflow or underflow or neither. #
# When that is the case, AdjScale = 2^(M1) where M1 is #
# approximately M. Thus 6.2 will never cause #
# over/underflow. Possible exception in 6.4 is overflow #
# or underflow. The inexact exception is not generated in #
# 6.4. Although one can argue that the inexact flag #
# should always be raised, to simulate that exception #
# cost to much than the flag is worth in practical uses. #
# #
# Step 7. Return 1 + X. #
# 7.1 ans := X #
# 7.2 Restore user FPCR. #
# 7.3 Return ans := 1 + ans. Exit #
# Notes: For non-zero X, the inexact exception will always be #
# raised by 7.3. That is the only exception raised by 7.3.#
# Note also that we use the FMOVEM instruction to move X #
# in Step 7.1 to avoid unnecessary trapping. (Although #
# the FMOVEM may not seem relevant since X is normalized, #
# the precaution will be useful in the library version of #
# this code where the separate entry for denormalized #
# inputs will be done away with.) #
# #
# Step 8. Handle exp(X) where |X| >= 16380log2. #
# 8.1 If |X| > 16480 log2, go to Step 9. #
# (mimic 2.2 - 2.6) #
# 8.2 N := round-to-integer( X * 64/log2 ) #
# 8.3 Calculate J = N mod 64, J = 0,1,...,63 #
# 8.4 K := (N-J)/64, M1 := truncate(K/2), M = K-M1, #
# AdjFlag := 1. #
# 8.5 Calculate the address of the stored value #
# 2^(J/64). #
# 8.6 Create the values Scale = 2^M, AdjScale = 2^M1. #
# 8.7 Go to Step 3. #
# Notes: Refer to notes for 2.2 - 2.6. #
# #
# Step 9. Handle exp(X), |X| > 16480 log2. #
# 9.1 If X < 0, go to 9.3 #
# 9.2 ans := Huge, go to 9.4 #
# 9.3 ans := Tiny. #
# 9.4 Restore user FPCR. #
# 9.5 Return ans := ans * ans. Exit. #
# Notes: Exp(X) will surely overflow or underflow, depending on #
# X's sign. "Huge" and "Tiny" are respectively large/tiny #
# extended-precision numbers whose square over/underflow #
# with an inexact result. Thus, 9.5 always raises the #
# inexact together with either overflow or underflow. #
# #
# setoxm1d #
# -------- #
# #
# Step 1. Set ans := 0 #
# #
# Step 2. Return ans := X + ans. Exit. #
# Notes: This will return X with the appropriate rounding #
# precision prescribed by the user FPCR. #
# #
# setoxm1 #
# ------- #
# #
# Step 1. Check |X| #
# 1.1 If |X| >= 1/4, go to Step 1.3. #
# 1.2 Go to Step 7. #
# 1.3 If |X| < 70 log(2), go to Step 2. #
# 1.4 Go to Step 10. #
# Notes: The usual case should take the branches 1.1 -> 1.3 -> 2.#
# However, it is conceivable |X| can be small very often #
# because EXPM1 is intended to evaluate exp(X)-1 #
# accurately when |X| is small. For further details on #
# the comparisons, see the notes on Step 1 of setox. #
# #
# Step 2. Calculate N = round-to-nearest-int( X * 64/log2 ). #
# 2.1 N := round-to-nearest-integer( X * 64/log2 ). #
# 2.2 Calculate J = N mod 64; so J = 0,1,2,..., #
# or 63. #
# 2.3 Calculate M = (N - J)/64; so N = 64M + J. #
# 2.4 Calculate the address of the stored value of #
# 2^(J/64). #
# 2.5 Create the values Sc = 2^M and #
# OnebySc := -2^(-M). #
# Notes: See the notes on Step 2 of setox. #
# #
# Step 3. Calculate X - N*log2/64. #
# 3.1 R := X + N*L1, #
# where L1 := single-precision(-log2/64). #
# 3.2 R := R + N*L2, #
# L2 := extended-precision(-log2/64 - L1).#
# Notes: Applying the analysis of Step 3 of setox in this case #
# shows that |R| <= 0.0055 (note that |X| <= 70 log2 in #
# this case). #
# #
# Step 4. Approximate exp(R)-1 by a polynomial #
# p = R+R*R*(A1+R*(A2+R*(A3+R*(A4+R*(A5+R*A6))))) #
# Notes: a) In order to reduce memory access, the coefficients #
# are made as "short" as possible: A1 (which is 1/2), A5 #
# and A6 are single precision; A2, A3 and A4 are double #
# precision. #
# b) Even with the restriction above, #
# |p - (exp(R)-1)| < |R| * 2^(-72.7) #
# for all |R| <= 0.0055. #
# c) To fully utilize the pipeline, p is separated into #
# two independent pieces of roughly equal complexity #
# p = [ R*S*(A2 + S*(A4 + S*A6)) ] + #
# [ R + S*(A1 + S*(A3 + S*A5)) ] #
# where S = R*R. #
# #
# Step 5. Compute 2^(J/64)*p by #
# p := T*p #
# where T and t are the stored values for 2^(J/64). #
# Notes: 2^(J/64) is stored as T and t where T+t approximates #
# 2^(J/64) to roughly 85 bits; T is in extended precision #
# and t is in single precision. Note also that T is #
# rounded to 62 bits so that the last two bits of T are #
# zero. The reason for such a special form is that T-1, #
# T-2, and T-8 will all be exact --- a property that will #
# be exploited in Step 6 below. The total relative error #
# in p is no bigger than 2^(-67.7) compared to the final #
# result. #
# #
# Step 6. Reconstruction of exp(X)-1 #
# exp(X)-1 = 2^M * ( 2^(J/64) + p - 2^(-M) ). #
# 6.1 If M <= 63, go to Step 6.3. #
# 6.2 ans := T + (p + (t + OnebySc)). Go to 6.6 #
# 6.3 If M >= -3, go to 6.5. #
# 6.4 ans := (T + (p + t)) + OnebySc. Go to 6.6 #
# 6.5 ans := (T + OnebySc) + (p + t). #
# 6.6 Restore user FPCR. #
# 6.7 Return ans := Sc * ans. Exit. #
# Notes: The various arrangements of the expressions give #
# accurate evaluations. #
# #
# Step 7. exp(X)-1 for |X| < 1/4. #
# 7.1 If |X| >= 2^(-65), go to Step 9. #
# 7.2 Go to Step 8. #
# #
# Step 8. Calculate exp(X)-1, |X| < 2^(-65). #
# 8.1 If |X| < 2^(-16312), goto 8.3 #
# 8.2 Restore FPCR; return ans := X - 2^(-16382). #
# Exit. #
# 8.3 X := X * 2^(140). #
# 8.4 Restore FPCR; ans := ans - 2^(-16382). #
# Return ans := ans*2^(140). Exit #
# Notes: The idea is to return "X - tiny" under the user #
# precision and rounding modes. To avoid unnecessary #
# inefficiency, we stay away from denormalized numbers #
# the best we can. For |X| >= 2^(-16312), the #
# straightforward 8.2 generates the inexact exception as #
# the case warrants. #
# #
# Step 9. Calculate exp(X)-1, |X| < 1/4, by a polynomial #
# p = X + X*X*(B1 + X*(B2 + ... + X*B12)) #
# Notes: a) In order to reduce memory access, the coefficients #
# are made as "short" as possible: B1 (which is 1/2), B9 #
# to B12 are single precision; B3 to B8 are double #
# precision; and B2 is double extended. #
# b) Even with the restriction above, #
# |p - (exp(X)-1)| < |X| 2^(-70.6) #
# for all |X| <= 0.251. #
# Note that 0.251 is slightly bigger than 1/4. #
# c) To fully preserve accuracy, the polynomial is #
# computed as #
# X + ( S*B1 + Q ) where S = X*X and #
# Q = X*S*(B2 + X*(B3 + ... + X*B12)) #
# d) To fully utilize the pipeline, Q is separated into #
# two independent pieces of roughly equal complexity #
# Q = [ X*S*(B2 + S*(B4 + ... + S*B12)) ] + #
# [ S*S*(B3 + S*(B5 + ... + S*B11)) ] #
# #
# Step 10. Calculate exp(X)-1 for |X| >= 70 log 2. #
# 10.1 If X >= 70log2 , exp(X) - 1 = exp(X) for all #
# practical purposes. Therefore, go to Step 1 of setox. #
# 10.2 If X <= -70log2, exp(X) - 1 = -1 for all practical #
# purposes. #
# ans := -1 #
# Restore user FPCR #
# Return ans := ans + 2^(-126). Exit. #
# Notes: 10.2 will always create an inexact and return -1 + tiny #
# in the user rounding precision and mode. #
# #
#########################################################################
L2: long 0x3FDC0000,0x82E30865,0x4361C4C6,0x00000000
EEXPA3: long 0x3FA55555,0x55554CC1
EEXPA2: long 0x3FC55555,0x55554A54
EM1A4: long 0x3F811111,0x11174385
EM1A3: long 0x3FA55555,0x55554F5A
EM1A2: long 0x3FC55555,0x55555555,0x00000000,0x00000000
EM1B8: long 0x3EC71DE3,0xA5774682
EM1B7: long 0x3EFA01A0,0x19D7CB68
EM1B6: long 0x3F2A01A0,0x1A019DF3
EM1B5: long 0x3F56C16C,0x16C170E2
EM1B4: long 0x3F811111,0x11111111
EM1B3: long 0x3FA55555,0x55555555
EM1B2: long 0x3FFC0000,0xAAAAAAAA,0xAAAAAAAB
long 0x00000000
TWO140: long 0x48B00000,0x00000000
TWON140:
long 0x37300000,0x00000000
EEXPTBL:
long 0x3FFF0000,0x80000000,0x00000000,0x00000000
long 0x3FFF0000,0x8164D1F3,0xBC030774,0x9F841A9B
long 0x3FFF0000,0x82CD8698,0xAC2BA1D8,0x9FC1D5B9
long 0x3FFF0000,0x843A28C3,0xACDE4048,0xA0728369
long 0x3FFF0000,0x85AAC367,0xCC487B14,0x1FC5C95C
long 0x3FFF0000,0x871F6196,0x9E8D1010,0x1EE85C9F
long 0x3FFF0000,0x88980E80,0x92DA8528,0x9FA20729
long 0x3FFF0000,0x8A14D575,0x496EFD9C,0xA07BF9AF
long 0x3FFF0000,0x8B95C1E3,0xEA8BD6E8,0xA0020DCF
long 0x3FFF0000,0x8D1ADF5B,0x7E5BA9E4,0x205A63DA
long 0x3FFF0000,0x8EA4398B,0x45CD53C0,0x1EB70051
long 0x3FFF0000,0x9031DC43,0x1466B1DC,0x1F6EB029
long 0x3FFF0000,0x91C3D373,0xAB11C338,0xA0781494
long 0x3FFF0000,0x935A2B2F,0x13E6E92C,0x9EB319B0
long 0x3FFF0000,0x94F4EFA8,0xFEF70960,0x2017457D
long 0x3FFF0000,0x96942D37,0x20185A00,0x1F11D537
long 0x3FFF0000,0x9837F051,0x8DB8A970,0x9FB952DD
long 0x3FFF0000,0x99E04593,0x20B7FA64,0x1FE43087
long 0x3FFF0000,0x9B8D39B9,0xD54E5538,0x1FA2A818
long 0x3FFF0000,0x9D3ED9A7,0x2CFFB750,0x1FDE494D
long 0x3FFF0000,0x9EF53260,0x91A111AC,0x20504890
long 0x3FFF0000,0xA0B0510F,0xB9714FC4,0xA073691C
long 0x3FFF0000,0xA2704303,0x0C496818,0x1F9B7A05
long 0x3FFF0000,0xA43515AE,0x09E680A0,0xA0797126
long 0x3FFF0000,0xA5FED6A9,0xB15138EC,0xA071A140
long 0x3FFF0000,0xA7CD93B4,0xE9653568,0x204F62DA
long 0x3FFF0000,0xA9A15AB4,0xEA7C0EF8,0x1F283C4A
long 0x3FFF0000,0xAB7A39B5,0xA93ED338,0x9F9A7FDC
long 0x3FFF0000,0xAD583EEA,0x42A14AC8,0xA05B3FAC
long 0x3FFF0000,0xAF3B78AD,0x690A4374,0x1FDF2610
long 0x3FFF0000,0xB123F581,0xD2AC2590,0x9F705F90
long 0x3FFF0000,0xB311C412,0xA9112488,0x201F678A
long 0x3FFF0000,0xB504F333,0xF9DE6484,0x1F32FB13
long 0x3FFF0000,0xB6FD91E3,0x28D17790,0x20038B30
long 0x3FFF0000,0xB8FBAF47,0x62FB9EE8,0x200DC3CC
long 0x3FFF0000,0xBAFF5AB2,0x133E45FC,0x9F8B2AE6
long 0x3FFF0000,0xBD08A39F,0x580C36C0,0xA02BBF70
long 0x3FFF0000,0xBF1799B6,0x7A731084,0xA00BF518
long 0x3FFF0000,0xC12C4CCA,0x66709458,0xA041DD41
long 0x3FFF0000,0xC346CCDA,0x24976408,0x9FDF137B
long 0x3FFF0000,0xC5672A11,0x5506DADC,0x201F1568
long 0x3FFF0000,0xC78D74C8,0xABB9B15C,0x1FC13A2E
long 0x3FFF0000,0xC9B9BD86,0x6E2F27A4,0xA03F8F03
long 0x3FFF0000,0xCBEC14FE,0xF2727C5C,0x1FF4907D
long 0x3FFF0000,0xCE248C15,0x1F8480E4,0x9E6E53E4
long 0x3FFF0000,0xD06333DA,0xEF2B2594,0x1FD6D45C
long 0x3FFF0000,0xD2A81D91,0xF12AE45C,0xA076EDB9
long 0x3FFF0000,0xD4F35AAB,0xCFEDFA20,0x9FA6DE21
long 0x3FFF0000,0xD744FCCA,0xD69D6AF4,0x1EE69A2F
long 0x3FFF0000,0xD99D15C2,0x78AFD7B4,0x207F439F
long 0x3FFF0000,0xDBFBB797,0xDAF23754,0x201EC207
long 0x3FFF0000,0xDE60F482,0x5E0E9124,0x9E8BE175
long 0x3FFF0000,0xE0CCDEEC,0x2A94E110,0x20032C4B
long 0x3FFF0000,0xE33F8972,0xBE8A5A50,0x2004DFF5
long 0x3FFF0000,0xE5B906E7,0x7C8348A8,0x1E72F47A
long 0x3FFF0000,0xE8396A50,0x3C4BDC68,0x1F722F22
long 0x3FFF0000,0xEAC0C6E7,0xDD243930,0xA017E945
long 0x3FFF0000,0xED4F301E,0xD9942B84,0x1F401A5B
long 0x3FFF0000,0xEFE4B99B,0xDCDAF5CC,0x9FB9A9E3
long 0x3FFF0000,0xF281773C,0x59FFB138,0x20744C05
long 0x3FFF0000,0xF5257D15,0x2486CC2C,0x1F773A19
long 0x3FFF0000,0xF7D0DF73,0x0AD13BB8,0x1FFE90D5
long 0x3FFF0000,0xFA83B2DB,0x722A033C,0xA041ED22
long 0x3FFF0000,0xFD3E0C0C,0xF486C174,0x1F853F3A
set ADJFLAG,L_SCR2
set SCALE,FP_SCR0
set ADJSCALE,FP_SCR1
set SC,FP_SCR0
set ONEBYSC,FP_SCR1
global setox
setox:
#--entry point for EXP(X), here X is finite, non-zero, and not NaN's
#--Step 1.
mov.l (%a0),%d1 # load part of input X
and.l &0x7FFF0000,%d1 # biased expo. of X
cmp.l %d1,&0x3FBE0000 # 2^(-65)
bge.b EXPC1 # normal case
bra EXPSM
EXPC1:
#--The case |X| >= 2^(-65)
mov.w 4(%a0),%d1 # expo. and partial sig. of |X|
cmp.l %d1,&0x400CB167 # 16380 log2 trunc. 16 bits
blt.b EXPMAIN # normal case
bra EEXPBIG
EXPMAIN:
#--Step 2.
#--This is the normal branch: 2^(-65) <= |X| < 16380 log2.
fmov.x (%a0),%fp0 # load input from (a0)
fmov.x %fp0,%fp1
fmul.s &0x42B8AA3B,%fp0 # 64/log2 * X
fmovm.x &0xc,-(%sp) # save fp2 {%fp2/%fp3}
mov.l &0,ADJFLAG(%a6)
fmov.l %fp0,%d1 # N = int( X * 64/log2 )
lea EEXPTBL(%pc),%a1
fmov.l %d1,%fp0 # convert to floating-format
mov.l %d1,L_SCR1(%a6) # save N temporarily
and.l &0x3F,%d1 # D0 is J = N mod 64
lsl.l &4,%d1
add.l %d1,%a1 # address of 2^(J/64)
mov.l L_SCR1(%a6),%d1
asr.l &6,%d1 # D0 is M
add.w &0x3FFF,%d1 # biased expo. of 2^(M)
mov.w L2(%pc),L_SCR1(%a6) # prefetch L2, no need in CB
EXPCONT1:
#--Step 3.
#--fp1,fp2 saved on the stack. fp0 is N, fp1 is X,
#--a0 points to 2^(J/64), D0 is biased expo. of 2^(M)
fmov.x %fp0,%fp2
fmul.s &0xBC317218,%fp0 # N * L1, L1 = lead(-log2/64)
fmul.x L2(%pc),%fp2 # N * L2, L1+L2 = -log2/64
fadd.x %fp1,%fp0 # X + N*L1
fadd.x %fp2,%fp0 # fp0 is R, reduced arg.
#--Step 4.
#--WE NOW COMPUTE EXP(R)-1 BY A POLYNOMIAL
#-- R + R*R*(A1 + R*(A2 + R*(A3 + R*(A4 + R*A5))))
#--TO FULLY UTILIZE THE PIPELINE, WE COMPUTE S = R*R
#--[R+R*S*(A2+S*A4)] + [S*(A1+S*(A3+S*A5))]
fmov.x %fp0,%fp1
fmul.x %fp1,%fp1 # fp1 IS S = R*R
fmov.s &0x3AB60B70,%fp2 # fp2 IS A5
fmul.x %fp1,%fp2 # fp2 IS S*A5
fmov.x %fp1,%fp3
fmul.s &0x3C088895,%fp3 # fp3 IS S*A4
fadd.d EEXPA3(%pc),%fp2 # fp2 IS A3+S*A5
fadd.d EEXPA2(%pc),%fp3 # fp3 IS A2+S*A4
fmul.x %fp1,%fp2 # fp2 IS S*(A3+S*A5)
mov.w %d1,SCALE(%a6) # SCALE is 2^(M) in extended
mov.l &0x80000000,SCALE+4(%a6)
clr.l SCALE+8(%a6)
fmul.x %fp1,%fp3 # fp3 IS S*(A2+S*A4)
fadd.s &0x3F000000,%fp2 # fp2 IS A1+S*(A3+S*A5)
fmul.x %fp0,%fp3 # fp3 IS R*S*(A2+S*A4)
fmul.x %fp1,%fp2 # fp2 IS S*(A1+S*(A3+S*A5))
fadd.x %fp3,%fp0 # fp0 IS R+R*S*(A2+S*A4),
fmov.x (%a1)+,%fp1 # fp1 is lead. pt. of 2^(J/64)
fadd.x %fp2,%fp0 # fp0 is EXP(R) - 1
#--Step 5
#--final reconstruction process
#--EXP(X) = 2^M * ( 2^(J/64) + 2^(J/64)*(EXP(R)-1) )
fmul.x %fp1,%fp0 # 2^(J/64)*(Exp(R)-1)
fmovm.x (%sp)+,&0x30 # fp2 restored {%fp2/%fp3}
fadd.s (%a1),%fp0 # accurate 2^(J/64)
fadd.x %fp1,%fp0 # 2^(J/64) + 2^(J/64)*...
mov.l ADJFLAG(%a6),%d1
#--Step 6
tst.l %d1
beq.b NORMAL
ADJUST:
fmul.x ADJSCALE(%a6),%fp0
NORMAL:
fmov.l %d0,%fpcr # restore user FPCR
mov.b &FMUL_OP,%d1 # last inst is MUL
fmul.x SCALE(%a6),%fp0 # multiply 2^(M)
bra t_catch
EXPSM:
#--Step 7
fmovm.x (%a0),&0x80 # load X
fmov.l %d0,%fpcr
fadd.s &0x3F800000,%fp0 # 1+X in user mode
bra t_pinx2
EEXPBIG:
#--Step 8
cmp.l %d1,&0x400CB27C # 16480 log2
bgt.b EXP2BIG
#--Steps 8.2 -- 8.6
fmov.x (%a0),%fp0 # load input from (a0)
fmov.x %fp0,%fp1
fmul.s &0x42B8AA3B,%fp0 # 64/log2 * X
fmovm.x &0xc,-(%sp) # save fp2 {%fp2/%fp3}
mov.l &1,ADJFLAG(%a6)
fmov.l %fp0,%d1 # N = int( X * 64/log2 )
lea EEXPTBL(%pc),%a1
fmov.l %d1,%fp0 # convert to floating-format
mov.l %d1,L_SCR1(%a6) # save N temporarily
and.l &0x3F,%d1 # D0 is J = N mod 64
lsl.l &4,%d1
add.l %d1,%a1 # address of 2^(J/64)
mov.l L_SCR1(%a6),%d1
asr.l &6,%d1 # D0 is K
mov.l %d1,L_SCR1(%a6) # save K temporarily
asr.l &1,%d1 # D0 is M1
sub.l %d1,L_SCR1(%a6) # a1 is M
add.w &0x3FFF,%d1 # biased expo. of 2^(M1)
mov.w %d1,ADJSCALE(%a6) # ADJSCALE := 2^(M1)
mov.l &0x80000000,ADJSCALE+4(%a6)
clr.l ADJSCALE+8(%a6)
mov.l L_SCR1(%a6),%d1 # D0 is M
add.w &0x3FFF,%d1 # biased expo. of 2^(M)
bra.w EXPCONT1 # go back to Step 3
EXP2BIG:
#--Step 9
tst.b (%a0) # is X positive or negative?
bmi t_unfl2
bra t_ovfl2
global setoxd
setoxd:
#--entry point for EXP(X), X is denormalized
mov.l (%a0),-(%sp)
andi.l &0x80000000,(%sp)
ori.l &0x00800000,(%sp) # sign(X)*2^(-126)
fmov.s &0x3F800000,%fp0
fmov.l %d0,%fpcr
fadd.s (%sp)+,%fp0
bra t_pinx2
global setoxm1
setoxm1:
#--entry point for EXPM1(X), here X is finite, non-zero, non-NaN
#--Step 1.
#--Step 1.1
mov.l (%a0),%d1 # load part of input X
and.l &0x7FFF0000,%d1 # biased expo. of X
cmp.l %d1,&0x3FFD0000 # 1/4
bge.b EM1CON1 # |X| >= 1/4
bra EM1SM
EM1CON1:
#--Step 1.3
#--The case |X| >= 1/4
mov.w 4(%a0),%d1 # expo. and partial sig. of |X|
cmp.l %d1,&0x4004C215 # 70log2 rounded up to 16 bits
ble.b EM1MAIN # 1/4 <= |X| <= 70log2
bra EM1BIG
EM1MAIN:
#--Step 2.
#--This is the case: 1/4 <= |X| <= 70 log2.
fmov.x (%a0),%fp0 # load input from (a0)
fmov.x %fp0,%fp1
fmul.s &0x42B8AA3B,%fp0 # 64/log2 * X
fmovm.x &0xc,-(%sp) # save fp2 {%fp2/%fp3}
fmov.l %fp0,%d1 # N = int( X * 64/log2 )
lea EEXPTBL(%pc),%a1
fmov.l %d1,%fp0 # convert to floating-format
mov.l %d1,L_SCR1(%a6) # save N temporarily
and.l &0x3F,%d1 # D0 is J = N mod 64
lsl.l &4,%d1
add.l %d1,%a1 # address of 2^(J/64)
mov.l L_SCR1(%a6),%d1
asr.l &6,%d1 # D0 is M
mov.l %d1,L_SCR1(%a6) # save a copy of M
#--Step 3.
#--fp1,fp2 saved on the stack. fp0 is N, fp1 is X,
#--a0 points to 2^(J/64), D0 and a1 both contain M
fmov.x %fp0,%fp2
fmul.s &0xBC317218,%fp0 # N * L1, L1 = lead(-log2/64)
fmul.x L2(%pc),%fp2 # N * L2, L1+L2 = -log2/64
fadd.x %fp1,%fp0 # X + N*L1
fadd.x %fp2,%fp0 # fp0 is R, reduced arg.
add.w &0x3FFF,%d1 # D0 is biased expo. of 2^M
#--Step 4.
#--WE NOW COMPUTE EXP(R)-1 BY A POLYNOMIAL
#-- R + R*R*(A1 + R*(A2 + R*(A3 + R*(A4 + R*(A5 + R*A6)))))
#--TO FULLY UTILIZE THE PIPELINE, WE COMPUTE S = R*R
#--[R*S*(A2+S*(A4+S*A6))] + [R+S*(A1+S*(A3+S*A5))]
fmov.x %fp0,%fp1
fmul.x %fp1,%fp1 # fp1 IS S = R*R
fmov.s &0x3950097B,%fp2 # fp2 IS a6
fmul.x %fp1,%fp2 # fp2 IS S*A6
fmov.x %fp1,%fp3
fmul.s &0x3AB60B6A,%fp3 # fp3 IS S*A5
fadd.d EM1A4(%pc),%fp2 # fp2 IS A4+S*A6
fadd.d EM1A3(%pc),%fp3 # fp3 IS A3+S*A5
mov.w %d1,SC(%a6) # SC is 2^(M) in extended
mov.l &0x80000000,SC+4(%a6)
clr.l SC+8(%a6)
fmul.x %fp1,%fp2 # fp2 IS S*(A4+S*A6)
mov.l L_SCR1(%a6),%d1 # D0 is M
neg.w %d1 # D0 is -M
fmul.x %fp1,%fp3 # fp3 IS S*(A3+S*A5)
add.w &0x3FFF,%d1 # biased expo. of 2^(-M)
fadd.d EM1A2(%pc),%fp2 # fp2 IS A2+S*(A4+S*A6)
fadd.s &0x3F000000,%fp3 # fp3 IS A1+S*(A3+S*A5)
fmul.x %fp1,%fp2 # fp2 IS S*(A2+S*(A4+S*A6))
or.w &0x8000,%d1 # signed/expo. of -2^(-M)
mov.w %d1,ONEBYSC(%a6) # OnebySc is -2^(-M)
mov.l &0x80000000,ONEBYSC+4(%a6)
clr.l ONEBYSC+8(%a6)
fmul.x %fp3,%fp1 # fp1 IS S*(A1+S*(A3+S*A5))
fmul.x %fp0,%fp2 # fp2 IS R*S*(A2+S*(A4+S*A6))
fadd.x %fp1,%fp0 # fp0 IS R+S*(A1+S*(A3+S*A5))
fadd.x %fp2,%fp0 # fp0 IS EXP(R)-1
fmovm.x (%sp)+,&0x30 # fp2 restored {%fp2/%fp3}
#--Step 5
#--Compute 2^(J/64)*p
fmul.x (%a1),%fp0 # 2^(J/64)*(Exp(R)-1)
#--Step 6
#--Step 6.1
mov.l L_SCR1(%a6),%d1 # retrieve M
cmp.l %d1,&63
ble.b MLE63
#--Step 6.2 M >= 64
fmov.s 12(%a1),%fp1 # fp1 is t
fadd.x ONEBYSC(%a6),%fp1 # fp1 is t+OnebySc
fadd.x %fp1,%fp0 # p+(t+OnebySc), fp1 released
fadd.x (%a1),%fp0 # T+(p+(t+OnebySc))
bra EM1SCALE
MLE63:
#--Step 6.3 M <= 63
cmp.l %d1,&-3
bge.b MGEN3
MLTN3:
#--Step 6.4 M <= -4
fadd.s 12(%a1),%fp0 # p+t
fadd.x (%a1),%fp0 # T+(p+t)
fadd.x ONEBYSC(%a6),%fp0 # OnebySc + (T+(p+t))
bra EM1SCALE
MGEN3:
#--Step 6.5 -3 <= M <= 63
fmov.x (%a1)+,%fp1 # fp1 is T
fadd.s (%a1),%fp0 # fp0 is p+t
fadd.x ONEBYSC(%a6),%fp1 # fp1 is T+OnebySc
fadd.x %fp1,%fp0 # (T+OnebySc)+(p+t)
EM1SCALE:
#--Step 6.6
fmov.l %d0,%fpcr
fmul.x SC(%a6),%fp0
bra t_inx2
EM1SM:
#--Step 7 |X| < 1/4.
cmp.l %d1,&0x3FBE0000 # 2^(-65)
bge.b EM1POLY
EM1TINY:
#--Step 8 |X| < 2^(-65)
cmp.l %d1,&0x00330000 # 2^(-16312)
blt.b EM12TINY
#--Step 8.2
mov.l &0x80010000,SC(%a6) # SC is -2^(-16382)
mov.l &0x80000000,SC+4(%a6)
clr.l SC+8(%a6)
fmov.x (%a0),%fp0
fmov.l %d0,%fpcr
mov.b &FADD_OP,%d1 # last inst is ADD
fadd.x SC(%a6),%fp0
bra t_catch
EM12TINY:
#--Step 8.3
fmov.x (%a0),%fp0
fmul.d TWO140(%pc),%fp0
mov.l &0x80010000,SC(%a6)
mov.l &0x80000000,SC+4(%a6)
clr.l SC+8(%a6)
fadd.x SC(%a6),%fp0
fmov.l %d0,%fpcr
mov.b &FMUL_OP,%d1 # last inst is MUL
fmul.d TWON140(%pc),%fp0
bra t_catch
EM1POLY:
#--Step 9 exp(X)-1 by a simple polynomial
fmov.x (%a0),%fp0 # fp0 is X
fmul.x %fp0,%fp0 # fp0 is S := X*X
fmovm.x &0xc,-(%sp) # save fp2 {%fp2/%fp3}
fmov.s &0x2F30CAA8,%fp1 # fp1 is B12
fmul.x %fp0,%fp1 # fp1 is S*B12
fmov.s &0x310F8290,%fp2 # fp2 is B11
fadd.s &0x32D73220,%fp1 # fp1 is B10+S*B12
fmul.x %fp0,%fp2 # fp2 is S*B11
fmul.x %fp0,%fp1 # fp1 is S*(B10 + ...
fadd.s &0x3493F281,%fp2 # fp2 is B9+S*...
fadd.d EM1B8(%pc),%fp1 # fp1 is B8+S*...
fmul.x %fp0,%fp2 # fp2 is S*(B9+...
fmul.x %fp0,%fp1 # fp1 is S*(B8+...
fadd.d EM1B7(%pc),%fp2 # fp2 is B7+S*...
fadd.d EM1B6(%pc),%fp1 # fp1 is B6+S*...
fmul.x %fp0,%fp2 # fp2 is S*(B7+...
fmul.x %fp0,%fp1 # fp1 is S*(B6+...
fadd.d EM1B5(%pc),%fp2 # fp2 is B5+S*...
fadd.d EM1B4(%pc),%fp1 # fp1 is B4+S*...
fmul.x %fp0,%fp2 # fp2 is S*(B5+...
fmul.x %fp0,%fp1 # fp1 is S*(B4+...
fadd.d EM1B3(%pc),%fp2 # fp2 is B3+S*...
fadd.x EM1B2(%pc),%fp1 # fp1 is B2+S*...
fmul.x %fp0,%fp2 # fp2 is S*(B3+...
fmul.x %fp0,%fp1 # fp1 is S*(B2+...
fmul.x %fp0,%fp2 # fp2 is S*S*(B3+...)
fmul.x (%a0),%fp1 # fp1 is X*S*(B2...
fmul.s &0x3F000000,%fp0 # fp0 is S*B1
fadd.x %fp2,%fp1 # fp1 is Q
fmovm.x (%sp)+,&0x30 # fp2 restored {%fp2/%fp3}
fadd.x %fp1,%fp0 # fp0 is S*B1+Q
fmov.l %d0,%fpcr
fadd.x (%a0),%fp0
bra t_inx2
EM1BIG:
#--Step 10 |X| > 70 log2
mov.l (%a0),%d1
cmp.l %d1,&0
bgt.w EXPC1
#--Step 10.2
fmov.s &0xBF800000,%fp0 # fp0 is -1
fmov.l %d0,%fpcr
fadd.s &0x00800000,%fp0 # -1 + 2^(-126)
bra t_minx2
global setoxm1d
setoxm1d:
#--entry point for EXPM1(X), here X is denormalized
#--Step 0.
bra t_extdnrm
#########################################################################
# sgetexp(): returns the exponent portion of the input argument. #
# The exponent bias is removed and the exponent value is #
# returned as an extended precision number in fp0. #
# sgetexpd(): handles denormalized numbers. #
# #
# sgetman(): extracts the mantissa of the input argument. The #
# mantissa is converted to an extended precision number w/ #
# an exponent of $3fff and is returned in fp0. The range of #
# the result is [1.0 - 2.0). #
# sgetmand(): handles denormalized numbers. #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# #
# OUTPUT ************************************************************** #
# fp0 = exponent(X) or mantissa(X) #
# #
#########################################################################
global sgetexp
sgetexp:
mov.w SRC_EX(%a0),%d0 # get the exponent
bclr &0xf,%d0 # clear the sign bit
subi.w &0x3fff,%d0 # subtract off the bias
fmov.w %d0,%fp0 # return exp in fp0
blt.b sgetexpn # it's negative
rts
sgetexpn:
mov.b &neg_bmask,FPSR_CC(%a6) # set 'N' ccode bit
rts
global sgetexpd
sgetexpd:
bsr.l norm # normalize
neg.w %d0 # new exp = -(shft amt)
subi.w &0x3fff,%d0 # subtract off the bias
fmov.w %d0,%fp0 # return exp in fp0
mov.b &neg_bmask,FPSR_CC(%a6) # set 'N' ccode bit
rts
global sgetman
sgetman:
mov.w SRC_EX(%a0),%d0 # get the exp
ori.w &0x7fff,%d0 # clear old exp
bclr &0xe,%d0 # make it the new exp +-3fff
# here, we build the result in a tmp location so as not to disturb the input
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6) # copy to tmp loc
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6) # copy to tmp loc
mov.w %d0,FP_SCR0_EX(%a6) # insert new exponent
fmov.x FP_SCR0(%a6),%fp0 # put new value back in fp0
bmi.b sgetmann # it's negative
rts
sgetmann:
mov.b &neg_bmask,FPSR_CC(%a6) # set 'N' ccode bit
rts
#
# For denormalized numbers, shift the mantissa until the j-bit = 1,
# then load the exponent with +/1 $3fff.
#
global sgetmand
sgetmand:
bsr.l norm # normalize exponent
bra.b sgetman
#########################################################################
# scosh(): computes the hyperbolic cosine of a normalized input #
# scoshd(): computes the hyperbolic cosine of a denormalized input #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# d0 = round precision,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = cosh(X) #
# #
# ACCURACY and MONOTONICITY ******************************************* #
# The returned result is within 3 ulps in 64 significant bit, #
# i.e. within 0.5001 ulp to 53 bits if the result is subsequently #
# rounded to double precision. The result is provably monotonic #
# in double precision. #
# #
# ALGORITHM *********************************************************** #
# #
# COSH #
# 1. If |X| > 16380 log2, go to 3. #
# #
# 2. (|X| <= 16380 log2) Cosh(X) is obtained by the formulae #
# y = |X|, z = exp(Y), and #
# cosh(X) = (1/2)*( z + 1/z ). #
# Exit. #
# #
# 3. (|X| > 16380 log2). If |X| > 16480 log2, go to 5. #
# #
# 4. (16380 log2 < |X| <= 16480 log2) #
# cosh(X) = sign(X) * exp(|X|)/2. #
# However, invoking exp(|X|) may cause premature #
# overflow. Thus, we calculate sinh(X) as follows: #
# Y := |X| #
# Fact := 2**(16380) #
# Y' := Y - 16381 log2 #
# cosh(X) := Fact * exp(Y'). #
# Exit. #
# #
# 5. (|X| > 16480 log2) sinh(X) must overflow. Return #
# Huge*Huge to generate overflow and an infinity with #
# the appropriate sign. Huge is the largest finite number #
# in extended format. Exit. #
# #
#########################################################################
TWO16380:
long 0x7FFB0000,0x80000000,0x00000000,0x00000000
global scosh
scosh:
fmov.x (%a0),%fp0 # LOAD INPUT
mov.l (%a0),%d1
mov.w 4(%a0),%d1
and.l &0x7FFFFFFF,%d1
cmp.l %d1,&0x400CB167
bgt.b COSHBIG
#--THIS IS THE USUAL CASE, |X| < 16380 LOG2
#--COSH(X) = (1/2) * ( EXP(X) + 1/EXP(X) )
fabs.x %fp0 # |X|
mov.l %d0,-(%sp)
clr.l %d0
fmovm.x &0x01,-(%sp) # save |X| to stack
lea (%sp),%a0 # pass ptr to |X|
bsr setox # FP0 IS EXP(|X|)
add.l &0xc,%sp # erase |X| from stack
fmul.s &0x3F000000,%fp0 # (1/2)EXP(|X|)
mov.l (%sp)+,%d0
fmov.s &0x3E800000,%fp1 # (1/4)
fdiv.x %fp0,%fp1 # 1/(2 EXP(|X|))
fmov.l %d0,%fpcr
mov.b &FADD_OP,%d1 # last inst is ADD
fadd.x %fp1,%fp0
bra t_catch
COSHBIG:
cmp.l %d1,&0x400CB2B3
bgt.b COSHHUGE
fabs.x %fp0
fsub.d T1(%pc),%fp0 # (|X|-16381LOG2_LEAD)
fsub.d T2(%pc),%fp0 # |X| - 16381 LOG2, ACCURATE
mov.l %d0,-(%sp)
clr.l %d0
fmovm.x &0x01,-(%sp) # save fp0 to stack
lea (%sp),%a0 # pass ptr to fp0
bsr setox
add.l &0xc,%sp # clear fp0 from stack
mov.l (%sp)+,%d0
fmov.l %d0,%fpcr
mov.b &FMUL_OP,%d1 # last inst is MUL
fmul.x TWO16380(%pc),%fp0
bra t_catch
COSHHUGE:
bra t_ovfl2
global scoshd
#--COSH(X) = 1 FOR DENORMALIZED X
scoshd:
fmov.s &0x3F800000,%fp0
fmov.l %d0,%fpcr
fadd.s &0x00800000,%fp0
bra t_pinx2
#########################################################################
# ssinh(): computes the hyperbolic sine of a normalized input #
# ssinhd(): computes the hyperbolic sine of a denormalized input #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# d0 = round precision,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = sinh(X) #
# #
# ACCURACY and MONOTONICITY ******************************************* #
# The returned result is within 3 ulps in 64 significant bit, #
# i.e. within 0.5001 ulp to 53 bits if the result is subsequently #
# rounded to double precision. The result is provably monotonic #
# in double precision. #
# #
# ALGORITHM *********************************************************** #
# #
# SINH #
# 1. If |X| > 16380 log2, go to 3. #
# #
# 2. (|X| <= 16380 log2) Sinh(X) is obtained by the formula #
# y = |X|, sgn = sign(X), and z = expm1(Y), #
# sinh(X) = sgn*(1/2)*( z + z/(1+z) ). #
# Exit. #
# #
# 3. If |X| > 16480 log2, go to 5. #
# #
# 4. (16380 log2 < |X| <= 16480 log2) #
# sinh(X) = sign(X) * exp(|X|)/2. #
# However, invoking exp(|X|) may cause premature overflow. #
# Thus, we calculate sinh(X) as follows: #
# Y := |X| #
# sgn := sign(X) #
# sgnFact := sgn * 2**(16380) #
# Y' := Y - 16381 log2 #
# sinh(X) := sgnFact * exp(Y'). #
# Exit. #
# #
# 5. (|X| > 16480 log2) sinh(X) must overflow. Return #
# sign(X)*Huge*Huge to generate overflow and an infinity with #
# the appropriate sign. Huge is the largest finite number in #
# extended format. Exit. #
# #
#########################################################################
global ssinh
ssinh:
fmov.x (%a0),%fp0 # LOAD INPUT
mov.l (%a0),%d1
mov.w 4(%a0),%d1
mov.l %d1,%a1 # save (compacted) operand
and.l &0x7FFFFFFF,%d1
cmp.l %d1,&0x400CB167
bgt.b SINHBIG
#--THIS IS THE USUAL CASE, |X| < 16380 LOG2
#--Y = |X|, Z = EXPM1(Y), SINH(X) = SIGN(X)*(1/2)*( Z + Z/(1+Z) )
fabs.x %fp0 # Y = |X|
movm.l &0x8040,-(%sp) # {a1/d0}
fmovm.x &0x01,-(%sp) # save Y on stack
lea (%sp),%a0 # pass ptr to Y
clr.l %d0
bsr setoxm1 # FP0 IS Z = EXPM1(Y)
add.l &0xc,%sp # clear Y from stack
fmov.l &0,%fpcr
movm.l (%sp)+,&0x0201 # {a1/d0}
fmov.x %fp0,%fp1
fadd.s &0x3F800000,%fp1 # 1+Z
fmov.x %fp0,-(%sp)
fdiv.x %fp1,%fp0 # Z/(1+Z)
mov.l %a1,%d1
and.l &0x80000000,%d1
or.l &0x3F000000,%d1
fadd.x (%sp)+,%fp0
mov.l %d1,-(%sp)
fmov.l %d0,%fpcr
mov.b &FMUL_OP,%d1 # last inst is MUL
fmul.s (%sp)+,%fp0 # last fp inst - possible exceptions set
bra t_catch
SINHBIG:
cmp.l %d1,&0x400CB2B3
bgt t_ovfl
fabs.x %fp0
fsub.d T1(%pc),%fp0 # (|X|-16381LOG2_LEAD)
mov.l &0,-(%sp)
mov.l &0x80000000,-(%sp)
mov.l %a1,%d1
and.l &0x80000000,%d1
or.l &0x7FFB0000,%d1
mov.l %d1,-(%sp) # EXTENDED FMT
fsub.d T2(%pc),%fp0 # |X| - 16381 LOG2, ACCURATE
mov.l %d0,-(%sp)
clr.l %d0
fmovm.x &0x01,-(%sp) # save fp0 on stack
lea (%sp),%a0 # pass ptr to fp0
bsr setox
add.l &0xc,%sp # clear fp0 from stack
mov.l (%sp)+,%d0
fmov.l %d0,%fpcr
mov.b &FMUL_OP,%d1 # last inst is MUL
fmul.x (%sp)+,%fp0 # possible exception
bra t_catch
global ssinhd
#--SINH(X) = X FOR DENORMALIZED X
ssinhd:
bra t_extdnrm
#########################################################################
# stanh(): computes the hyperbolic tangent of a normalized input #
# stanhd(): computes the hyperbolic tangent of a denormalized input #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# d0 = round precision,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = tanh(X) #
# #
# ACCURACY and MONOTONICITY ******************************************* #
# The returned result is within 3 ulps in 64 significant bit, #
# i.e. within 0.5001 ulp to 53 bits if the result is subsequently #
# rounded to double precision. The result is provably monotonic #
# in double precision. #
# #
# ALGORITHM *********************************************************** #
# #
# TANH #
# 1. If |X| >= (5/2) log2 or |X| <= 2**(-40), go to 3. #
# #
# 2. (2**(-40) < |X| < (5/2) log2) Calculate tanh(X) by #
# sgn := sign(X), y := 2|X|, z := expm1(Y), and #
# tanh(X) = sgn*( z/(2+z) ). #
# Exit. #
# #
# 3. (|X| <= 2**(-40) or |X| >= (5/2) log2). If |X| < 1, #
# go to 7. #
# #
# 4. (|X| >= (5/2) log2) If |X| >= 50 log2, go to 6. #
# #
# 5. ((5/2) log2 <= |X| < 50 log2) Calculate tanh(X) by #
# sgn := sign(X), y := 2|X|, z := exp(Y), #
# tanh(X) = sgn - [ sgn*2/(1+z) ]. #
# Exit. #
# #
# 6. (|X| >= 50 log2) Tanh(X) = +-1 (round to nearest). Thus, we #
# calculate Tanh(X) by #
# sgn := sign(X), Tiny := 2**(-126), #
# tanh(X) := sgn - sgn*Tiny. #
# Exit. #
# #
# 7. (|X| < 2**(-40)). Tanh(X) = X. Exit. #
# #
#########################################################################
set X,FP_SCR0
set XFRAC,X+4
set SGN,L_SCR3
set V,FP_SCR0
global stanh
stanh:
fmov.x (%a0),%fp0 # LOAD INPUT
fmov.x %fp0,X(%a6)
mov.l (%a0),%d1
mov.w 4(%a0),%d1
mov.l %d1,X(%a6)
and.l &0x7FFFFFFF,%d1
cmp.l %d1, &0x3fd78000 # is |X| < 2^(-40)?
blt.w TANHBORS # yes
cmp.l %d1, &0x3fffddce # is |X| > (5/2)LOG2?
bgt.w TANHBORS # yes
#--THIS IS THE USUAL CASE
#--Y = 2|X|, Z = EXPM1(Y), TANH(X) = SIGN(X) * Z / (Z+2).
mov.l X(%a6),%d1
mov.l %d1,SGN(%a6)
and.l &0x7FFF0000,%d1
add.l &0x00010000,%d1 # EXPONENT OF 2|X|
mov.l %d1,X(%a6)
and.l &0x80000000,SGN(%a6)
fmov.x X(%a6),%fp0 # FP0 IS Y = 2|X|
mov.l %d0,-(%sp)
clr.l %d0
fmovm.x &0x1,-(%sp) # save Y on stack
lea (%sp),%a0 # pass ptr to Y
bsr setoxm1 # FP0 IS Z = EXPM1(Y)
add.l &0xc,%sp # clear Y from stack
mov.l (%sp)+,%d0
fmov.x %fp0,%fp1
fadd.s &0x40000000,%fp1 # Z+2
mov.l SGN(%a6),%d1
fmov.x %fp1,V(%a6)
eor.l %d1,V(%a6)
fmov.l %d0,%fpcr # restore users round prec,mode
fdiv.x V(%a6),%fp0
bra t_inx2
TANHBORS:
cmp.l %d1,&0x3FFF8000
blt.w TANHSM
cmp.l %d1,&0x40048AA1
bgt.w TANHHUGE
#-- (5/2) LOG2 < |X| < 50 LOG2,
#--TANH(X) = 1 - (2/[EXP(2X)+1]). LET Y = 2|X|, SGN = SIGN(X),
#--TANH(X) = SGN - SGN*2/[EXP(Y)+1].
mov.l X(%a6),%d1
mov.l %d1,SGN(%a6)
and.l &0x7FFF0000,%d1
add.l &0x00010000,%d1 # EXPO OF 2|X|
mov.l %d1,X(%a6) # Y = 2|X|
and.l &0x80000000,SGN(%a6)
mov.l SGN(%a6),%d1
fmov.x X(%a6),%fp0 # Y = 2|X|
mov.l %d0,-(%sp)
clr.l %d0
fmovm.x &0x01,-(%sp) # save Y on stack
lea (%sp),%a0 # pass ptr to Y
bsr setox # FP0 IS EXP(Y)
add.l &0xc,%sp # clear Y from stack
mov.l (%sp)+,%d0
mov.l SGN(%a6),%d1
fadd.s &0x3F800000,%fp0 # EXP(Y)+1
eor.l &0xC0000000,%d1 # -SIGN(X)*2
fmov.s %d1,%fp1 # -SIGN(X)*2 IN SGL FMT
fdiv.x %fp0,%fp1 # -SIGN(X)2 / [EXP(Y)+1 ]
mov.l SGN(%a6),%d1
or.l &0x3F800000,%d1 # SGN
fmov.s %d1,%fp0 # SGN IN SGL FMT
fmov.l %d0,%fpcr # restore users round prec,mode
mov.b &FADD_OP,%d1 # last inst is ADD
fadd.x %fp1,%fp0
bra t_inx2
TANHSM:
fmov.l %d0,%fpcr # restore users round prec,mode
mov.b &FMOV_OP,%d1 # last inst is MOVE
fmov.x X(%a6),%fp0 # last inst - possible exception set
bra t_catch
#---RETURN SGN(X) - SGN(X)EPS
TANHHUGE:
mov.l X(%a6),%d1
and.l &0x80000000,%d1
or.l &0x3F800000,%d1
fmov.s %d1,%fp0
and.l &0x80000000,%d1
eor.l &0x80800000,%d1 # -SIGN(X)*EPS
fmov.l %d0,%fpcr # restore users round prec,mode
fadd.s %d1,%fp0
bra t_inx2
global stanhd
#--TANH(X) = X FOR DENORMALIZED X
stanhd:
bra t_extdnrm
#########################################################################
# slogn(): computes the natural logarithm of a normalized input #
# slognd(): computes the natural logarithm of a denormalized input #
# slognp1(): computes the log(1+X) of a normalized input #
# slognp1d(): computes the log(1+X) of a denormalized input #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# d0 = round precision,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = log(X) or log(1+X) #
# #
# ACCURACY and MONOTONICITY ******************************************* #
# The returned result is within 2 ulps in 64 significant bit, #
# i.e. within 0.5001 ulp to 53 bits if the result is subsequently #
# rounded to double precision. The result is provably monotonic #
# in double precision. #
# #
# ALGORITHM *********************************************************** #
# LOGN: #
# Step 1. If |X-1| < 1/16, approximate log(X) by an odd #
# polynomial in u, where u = 2(X-1)/(X+1). Otherwise, #
# move on to Step 2. #
# #
# Step 2. X = 2**k * Y where 1 <= Y < 2. Define F to be the first #
# seven significant bits of Y plus 2**(-7), i.e. #
# F = 1.xxxxxx1 in base 2 where the six "x" match those #
# of Y. Note that |Y-F| <= 2**(-7). #
# #
# Step 3. Define u = (Y-F)/F. Approximate log(1+u) by a #
# polynomial in u, log(1+u) = poly. #
# #
# Step 4. Reconstruct #
# log(X) = log( 2**k * Y ) = k*log(2) + log(F) + log(1+u) #
# by k*log(2) + (log(F) + poly). The values of log(F) are #
# calculated beforehand and stored in the program. #
# #
# lognp1: #
# Step 1: If |X| < 1/16, approximate log(1+X) by an odd #
# polynomial in u where u = 2X/(2+X). Otherwise, move on #
# to Step 2. #
# #
# Step 2: Let 1+X = 2**k * Y, where 1 <= Y < 2. Define F as done #
# in Step 2 of the algorithm for LOGN and compute #
# log(1+X) as k*log(2) + log(F) + poly where poly #
# approximates log(1+u), u = (Y-F)/F. #
# #
# Implementation Notes: #
# Note 1. There are 64 different possible values for F, thus 64 #
# log(F)'s need to be tabulated. Moreover, the values of #
# 1/F are also tabulated so that the division in (Y-F)/F #
# can be performed by a multiplication. #
# #
# Note 2. In Step 2 of lognp1, in order to preserved accuracy, #
# the value Y-F has to be calculated carefully when #
# 1/2 <= X < 3/2. #
# #
# Note 3. To fully exploit the pipeline, polynomials are usually #
# separated into two parts evaluated independently before #
# being added up. #
# #
#########################################################################
LOGOF2:
long 0x3FFE0000,0xB17217F7,0xD1CF79AC,0x00000000
one:
long 0x3F800000
zero:
long 0x00000000
infty:
long 0x7F800000
negone:
long 0xBF800000
LOGA6:
long 0x3FC2499A,0xB5E4040B
LOGA5:
long 0xBFC555B5,0x848CB7DB
LOGA4:
long 0x3FC99999,0x987D8730
LOGA3:
long 0xBFCFFFFF,0xFF6F7E97
LOGA2:
long 0x3FD55555,0x555555A4
LOGA1:
long 0xBFE00000,0x00000008
LOGB5:
long 0x3F175496,0xADD7DAD6
LOGB4:
long 0x3F3C71C2,0xFE80C7E0
LOGB3:
long 0x3F624924,0x928BCCFF
LOGB2:
long 0x3F899999,0x999995EC
LOGB1:
long 0x3FB55555,0x55555555
TWO:
long 0x40000000,0x00000000
LTHOLD:
long 0x3f990000,0x80000000,0x00000000,0x00000000
LOGTBL:
long 0x3FFE0000,0xFE03F80F,0xE03F80FE,0x00000000
long 0x3FF70000,0xFF015358,0x833C47E2,0x00000000
long 0x3FFE0000,0xFA232CF2,0x52138AC0,0x00000000
long 0x3FF90000,0xBDC8D83E,0xAD88D549,0x00000000
long 0x3FFE0000,0xF6603D98,0x0F6603DA,0x00000000
long 0x3FFA0000,0x9CF43DCF,0xF5EAFD48,0x00000000
long 0x3FFE0000,0xF2B9D648,0x0F2B9D65,0x00000000
long 0x3FFA0000,0xDA16EB88,0xCB8DF614,0x00000000
long 0x3FFE0000,0xEF2EB71F,0xC4345238,0x00000000
long 0x3FFB0000,0x8B29B775,0x1BD70743,0x00000000
long 0x3FFE0000,0xEBBDB2A5,0xC1619C8C,0x00000000
long 0x3FFB0000,0xA8D839F8,0x30C1FB49,0x00000000
long 0x3FFE0000,0xE865AC7B,0x7603A197,0x00000000
long 0x3FFB0000,0xC61A2EB1,0x8CD907AD,0x00000000
long 0x3FFE0000,0xE525982A,0xF70C880E,0x00000000
long 0x3FFB0000,0xE2F2A47A,0xDE3A18AF,0x00000000
long 0x3FFE0000,0xE1FC780E,0x1FC780E2,0x00000000
long 0x3FFB0000,0xFF64898E,0xDF55D551,0x00000000
long 0x3FFE0000,0xDEE95C4C,0xA037BA57,0x00000000
long 0x3FFC0000,0x8DB956A9,0x7B3D0148,0x00000000
long 0x3FFE0000,0xDBEB61EE,0xD19C5958,0x00000000
long 0x3FFC0000,0x9B8FE100,0xF47BA1DE,0x00000000
long 0x3FFE0000,0xD901B203,0x6406C80E,0x00000000
long 0x3FFC0000,0xA9372F1D,0x0DA1BD17,0x00000000
long 0x3FFE0000,0xD62B80D6,0x2B80D62C,0x00000000
long 0x3FFC0000,0xB6B07F38,0xCE90E46B,0x00000000
long 0x3FFE0000,0xD3680D36,0x80D3680D,0x00000000
long 0x3FFC0000,0xC3FD0329,0x06488481,0x00000000
long 0x3FFE0000,0xD0B69FCB,0xD2580D0B,0x00000000
long 0x3FFC0000,0xD11DE0FF,0x15AB18CA,0x00000000
long 0x3FFE0000,0xCE168A77,0x25080CE1,0x00000000
long 0x3FFC0000,0xDE1433A1,0x6C66B150,0x00000000
long 0x3FFE0000,0xCB8727C0,0x65C393E0,0x00000000
long 0x3FFC0000,0xEAE10B5A,0x7DDC8ADD,0x00000000
long 0x3FFE0000,0xC907DA4E,0x871146AD,0x00000000
long 0x3FFC0000,0xF7856E5E,0xE2C9B291,0x00000000
long 0x3FFE0000,0xC6980C69,0x80C6980C,0x00000000
long 0x3FFD0000,0x82012CA5,0xA68206D7,0x00000000
long 0x3FFE0000,0xC4372F85,0x5D824CA6,0x00000000
long 0x3FFD0000,0x882C5FCD,0x7256A8C5,0x00000000
long 0x3FFE0000,0xC1E4BBD5,0x95F6E947,0x00000000
long 0x3FFD0000,0x8E44C60B,0x4CCFD7DE,0x00000000
long 0x3FFE0000,0xBFA02FE8,0x0BFA02FF,0x00000000
long 0x3FFD0000,0x944AD09E,0xF4351AF6,0x00000000
long 0x3FFE0000,0xBD691047,0x07661AA3,0x00000000
long 0x3FFD0000,0x9A3EECD4,0xC3EAA6B2,0x00000000
long 0x3FFE0000,0xBB3EE721,0xA54D880C,0x00000000
long 0x3FFD0000,0xA0218434,0x353F1DE8,0x00000000
long 0x3FFE0000,0xB92143FA,0x36F5E02E,0x00000000
long 0x3FFD0000,0xA5F2FCAB,0xBBC506DA,0x00000000
long 0x3FFE0000,0xB70FBB5A,0x19BE3659,0x00000000
long 0x3FFD0000,0xABB3B8BA,0x2AD362A5,0x00000000
long 0x3FFE0000,0xB509E68A,0x9B94821F,0x00000000
long 0x3FFD0000,0xB1641795,0xCE3CA97B,0x00000000
long 0x3FFE0000,0xB30F6352,0x8917C80B,0x00000000
long 0x3FFD0000,0xB7047551,0x5D0F1C61,0x00000000
long 0x3FFE0000,0xB11FD3B8,0x0B11FD3C,0x00000000
long 0x3FFD0000,0xBC952AFE,0xEA3D13E1,0x00000000
long 0x3FFE0000,0xAF3ADDC6,0x80AF3ADE,0x00000000
long 0x3FFD0000,0xC2168ED0,0xF458BA4A,0x00000000
long 0x3FFE0000,0xAD602B58,0x0AD602B6,0x00000000
long 0x3FFD0000,0xC788F439,0xB3163BF1,0x00000000
long 0x3FFE0000,0xAB8F69E2,0x8359CD11,0x00000000
long 0x3FFD0000,0xCCECAC08,0xBF04565D,0x00000000
long 0x3FFE0000,0xA9C84A47,0xA07F5638,0x00000000
long 0x3FFD0000,0xD2420487,0x2DD85160,0x00000000
long 0x3FFE0000,0xA80A80A8,0x0A80A80B,0x00000000
long 0x3FFD0000,0xD7894992,0x3BC3588A,0x00000000
long 0x3FFE0000,0xA655C439,0x2D7B73A8,0x00000000
long 0x3FFD0000,0xDCC2C4B4,0x9887DACC,0x00000000
long 0x3FFE0000,0xA4A9CF1D,0x96833751,0x00000000
long 0x3FFD0000,0xE1EEBD3E,0x6D6A6B9E,0x00000000
long 0x3FFE0000,0xA3065E3F,0xAE7CD0E0,0x00000000
long 0x3FFD0000,0xE70D785C,0x2F9F5BDC,0x00000000
long 0x3FFE0000,0xA16B312E,0xA8FC377D,0x00000000
long 0x3FFD0000,0xEC1F392C,0x5179F283,0x00000000
long 0x3FFE0000,0x9FD809FD,0x809FD80A,0x00000000
long 0x3FFD0000,0xF12440D3,0xE36130E6,0x00000000
long 0x3FFE0000,0x9E4CAD23,0xDD5F3A20,0x00000000
long 0x3FFD0000,0xF61CCE92,0x346600BB,0x00000000
long 0x3FFE0000,0x9CC8E160,0xC3FB19B9,0x00000000
long 0x3FFD0000,0xFB091FD3,0x8145630A,0x00000000
long 0x3FFE0000,0x9B4C6F9E,0xF03A3CAA,0x00000000
long 0x3FFD0000,0xFFE97042,0xBFA4C2AD,0x00000000
long 0x3FFE0000,0x99D722DA,0xBDE58F06,0x00000000
long 0x3FFE0000,0x825EFCED,0x49369330,0x00000000
long 0x3FFE0000,0x9868C809,0x868C8098,0x00000000
long 0x3FFE0000,0x84C37A7A,0xB9A905C9,0x00000000
long 0x3FFE0000,0x97012E02,0x5C04B809,0x00000000
long 0x3FFE0000,0x87224C2E,0x8E645FB7,0x00000000
long 0x3FFE0000,0x95A02568,0x095A0257,0x00000000
long 0x3FFE0000,0x897B8CAC,0x9F7DE298,0x00000000
long 0x3FFE0000,0x94458094,0x45809446,0x00000000
long 0x3FFE0000,0x8BCF55DE,0xC4CD05FE,0x00000000
long 0x3FFE0000,0x92F11384,0x0497889C,0x00000000
long 0x3FFE0000,0x8E1DC0FB,0x89E125E5,0x00000000
long 0x3FFE0000,0x91A2B3C4,0xD5E6F809,0x00000000
long 0x3FFE0000,0x9066E68C,0x955B6C9B,0x00000000
long 0x3FFE0000,0x905A3863,0x3E06C43B,0x00000000
long 0x3FFE0000,0x92AADE74,0xC7BE59E0,0x00000000
long 0x3FFE0000,0x8F1779D9,0xFDC3A219,0x00000000
long 0x3FFE0000,0x94E9BFF6,0x15845643,0x00000000
long 0x3FFE0000,0x8DDA5202,0x37694809,0x00000000
long 0x3FFE0000,0x9723A1B7,0x20134203,0x00000000
long 0x3FFE0000,0x8CA29C04,0x6514E023,0x00000000
long 0x3FFE0000,0x995899C8,0x90EB8990,0x00000000
long 0x3FFE0000,0x8B70344A,0x139BC75A,0x00000000
long 0x3FFE0000,0x9B88BDAA,0x3A3DAE2F,0x00000000
long 0x3FFE0000,0x8A42F870,0x5669DB46,0x00000000
long 0x3FFE0000,0x9DB4224F,0xFFE1157C,0x00000000
long 0x3FFE0000,0x891AC73A,0xE9819B50,0x00000000
long 0x3FFE0000,0x9FDADC26,0x8B7A12DA,0x00000000
long 0x3FFE0000,0x87F78087,0xF78087F8,0x00000000
long 0x3FFE0000,0xA1FCFF17,0xCE733BD4,0x00000000
long 0x3FFE0000,0x86D90544,0x7A34ACC6,0x00000000
long 0x3FFE0000,0xA41A9E8F,0x5446FB9F,0x00000000
long 0x3FFE0000,0x85BF3761,0x2CEE3C9B,0x00000000
long 0x3FFE0000,0xA633CD7E,0x6771CD8B,0x00000000
long 0x3FFE0000,0x84A9F9C8,0x084A9F9D,0x00000000
long 0x3FFE0000,0xA8489E60,0x0B435A5E,0x00000000
long 0x3FFE0000,0x83993052,0x3FBE3368,0x00000000
long 0x3FFE0000,0xAA59233C,0xCCA4BD49,0x00000000
long 0x3FFE0000,0x828CBFBE,0xB9A020A3,0x00000000
long 0x3FFE0000,0xAC656DAE,0x6BCC4985,0x00000000
long 0x3FFE0000,0x81848DA8,0xFAF0D277,0x00000000
long 0x3FFE0000,0xAE6D8EE3,0x60BB2468,0x00000000
long 0x3FFE0000,0x80808080,0x80808081,0x00000000
long 0x3FFE0000,0xB07197A2,0x3C46C654,0x00000000
set ADJK,L_SCR1
set X,FP_SCR0
set XDCARE,X+2
set XFRAC,X+4
set F,FP_SCR1
set FFRAC,F+4
set KLOG2,FP_SCR0
set SAVEU,FP_SCR0
global slogn
#--ENTRY POINT FOR LOG(X) FOR X FINITE, NON-ZERO, NOT NAN'S
slogn:
fmov.x (%a0),%fp0 # LOAD INPUT
mov.l &0x00000000,ADJK(%a6)
LOGBGN:
#--FPCR SAVED AND CLEARED, INPUT IS 2^(ADJK)*FP0, FP0 CONTAINS
#--A FINITE, NON-ZERO, NORMALIZED NUMBER.
mov.l (%a0),%d1
mov.w 4(%a0),%d1
mov.l (%a0),X(%a6)
mov.l 4(%a0),X+4(%a6)
mov.l 8(%a0),X+8(%a6)
cmp.l %d1,&0 # CHECK IF X IS NEGATIVE
blt.w LOGNEG # LOG OF NEGATIVE ARGUMENT IS INVALID
# X IS POSITIVE, CHECK IF X IS NEAR 1
cmp.l %d1,&0x3ffef07d # IS X < 15/16?
blt.b LOGMAIN # YES
cmp.l %d1,&0x3fff8841 # IS X > 17/16?
ble.w LOGNEAR1 # NO
LOGMAIN:
#--THIS SHOULD BE THE USUAL CASE, X NOT VERY CLOSE TO 1
#--X = 2^(K) * Y, 1 <= Y < 2. THUS, Y = 1.XXXXXXXX....XX IN BINARY.
#--WE DEFINE F = 1.XXXXXX1, I.E. FIRST 7 BITS OF Y AND ATTACH A 1.
#--THE IDEA IS THAT LOG(X) = K*LOG2 + LOG(Y)
#-- = K*LOG2 + LOG(F) + LOG(1 + (Y-F)/F).
#--NOTE THAT U = (Y-F)/F IS VERY SMALL AND THUS APPROXIMATING
#--LOG(1+U) CAN BE VERY EFFICIENT.
#--ALSO NOTE THAT THE VALUE 1/F IS STORED IN A TABLE SO THAT NO
#--DIVISION IS NEEDED TO CALCULATE (Y-F)/F.
#--GET K, Y, F, AND ADDRESS OF 1/F.
asr.l &8,%d1
asr.l &8,%d1 # SHIFTED 16 BITS, BIASED EXPO. OF X
sub.l &0x3FFF,%d1 # THIS IS K
add.l ADJK(%a6),%d1 # ADJUST K, ORIGINAL INPUT MAY BE DENORM.
lea LOGTBL(%pc),%a0 # BASE ADDRESS OF 1/F AND LOG(F)
fmov.l %d1,%fp1 # CONVERT K TO FLOATING-POINT FORMAT
#--WHILE THE CONVERSION IS GOING ON, WE GET F AND ADDRESS OF 1/F
mov.l &0x3FFF0000,X(%a6) # X IS NOW Y, I.E. 2^(-K)*X
mov.l XFRAC(%a6),FFRAC(%a6)
and.l &0xFE000000,FFRAC(%a6) # FIRST 7 BITS OF Y
or.l &0x01000000,FFRAC(%a6) # GET F: ATTACH A 1 AT THE EIGHTH BIT
mov.l FFRAC(%a6),%d1 # READY TO GET ADDRESS OF 1/F
and.l &0x7E000000,%d1
asr.l &8,%d1
asr.l &8,%d1
asr.l &4,%d1 # SHIFTED 20, D0 IS THE DISPLACEMENT
add.l %d1,%a0 # A0 IS THE ADDRESS FOR 1/F
fmov.x X(%a6),%fp0
mov.l &0x3fff0000,F(%a6)
clr.l F+8(%a6)
fsub.x F(%a6),%fp0 # Y-F
fmovm.x &0xc,-(%sp) # SAVE FP2-3 WHILE FP0 IS NOT READY
#--SUMMARY: FP0 IS Y-F, A0 IS ADDRESS OF 1/F, FP1 IS K
#--REGISTERS SAVED: FPCR, FP1, FP2
LP1CONT1:
#--AN RE-ENTRY POINT FOR LOGNP1
fmul.x (%a0),%fp0 # FP0 IS U = (Y-F)/F
fmul.x LOGOF2(%pc),%fp1 # GET K*LOG2 WHILE FP0 IS NOT READY
fmov.x %fp0,%fp2
fmul.x %fp2,%fp2 # FP2 IS V=U*U
fmov.x %fp1,KLOG2(%a6) # PUT K*LOG2 IN MEMEORY, FREE FP1
#--LOG(1+U) IS APPROXIMATED BY
#--U + V*(A1+U*(A2+U*(A3+U*(A4+U*(A5+U*A6))))) WHICH IS
#--[U + V*(A1+V*(A3+V*A5))] + [U*V*(A2+V*(A4+V*A6))]
fmov.x %fp2,%fp3
fmov.x %fp2,%fp1
fmul.d LOGA6(%pc),%fp1 # V*A6
fmul.d LOGA5(%pc),%fp2 # V*A5
fadd.d LOGA4(%pc),%fp1 # A4+V*A6
fadd.d LOGA3(%pc),%fp2 # A3+V*A5
fmul.x %fp3,%fp1 # V*(A4+V*A6)
fmul.x %fp3,%fp2 # V*(A3+V*A5)
fadd.d LOGA2(%pc),%fp1 # A2+V*(A4+V*A6)
fadd.d LOGA1(%pc),%fp2 # A1+V*(A3+V*A5)
fmul.x %fp3,%fp1 # V*(A2+V*(A4+V*A6))
add.l &16,%a0 # ADDRESS OF LOG(F)
fmul.x %fp3,%fp2 # V*(A1+V*(A3+V*A5))
fmul.x %fp0,%fp1 # U*V*(A2+V*(A4+V*A6))
fadd.x %fp2,%fp0 # U+V*(A1+V*(A3+V*A5))
fadd.x (%a0),%fp1 # LOG(F)+U*V*(A2+V*(A4+V*A6))
fmovm.x (%sp)+,&0x30 # RESTORE FP2-3
fadd.x %fp1,%fp0 # FP0 IS LOG(F) + LOG(1+U)
fmov.l %d0,%fpcr
fadd.x KLOG2(%a6),%fp0 # FINAL ADD
bra t_inx2
LOGNEAR1:
# if the input is exactly equal to one, then exit through ld_pzero.
# if these 2 lines weren't here, the correct answer would be returned
# but the INEX2 bit would be set.
fcmp.b %fp0,&0x1 # is it equal to one?
fbeq.l ld_pzero # yes
#--REGISTERS SAVED: FPCR, FP1. FP0 CONTAINS THE INPUT.
fmov.x %fp0,%fp1
fsub.s one(%pc),%fp1 # FP1 IS X-1
fadd.s one(%pc),%fp0 # FP0 IS X+1
fadd.x %fp1,%fp1 # FP1 IS 2(X-1)
#--LOG(X) = LOG(1+U/2)-LOG(1-U/2) WHICH IS AN ODD POLYNOMIAL
#--IN U, U = 2(X-1)/(X+1) = FP1/FP0
LP1CONT2:
#--THIS IS AN RE-ENTRY POINT FOR LOGNP1
fdiv.x %fp0,%fp1 # FP1 IS U
fmovm.x &0xc,-(%sp) # SAVE FP2-3
#--REGISTERS SAVED ARE NOW FPCR,FP1,FP2,FP3
#--LET V=U*U, W=V*V, CALCULATE
#--U + U*V*(B1 + V*(B2 + V*(B3 + V*(B4 + V*B5)))) BY
#--U + U*V*( [B1 + W*(B3 + W*B5)] + [V*(B2 + W*B4)] )
fmov.x %fp1,%fp0
fmul.x %fp0,%fp0 # FP0 IS V
fmov.x %fp1,SAVEU(%a6) # STORE U IN MEMORY, FREE FP1
fmov.x %fp0,%fp1
fmul.x %fp1,%fp1 # FP1 IS W
fmov.d LOGB5(%pc),%fp3
fmov.d LOGB4(%pc),%fp2
fmul.x %fp1,%fp3 # W*B5
fmul.x %fp1,%fp2 # W*B4
fadd.d LOGB3(%pc),%fp3 # B3+W*B5
fadd.d LOGB2(%pc),%fp2 # B2+W*B4
fmul.x %fp3,%fp1 # W*(B3+W*B5), FP3 RELEASED
fmul.x %fp0,%fp2 # V*(B2+W*B4)
fadd.d LOGB1(%pc),%fp1 # B1+W*(B3+W*B5)
fmul.x SAVEU(%a6),%fp0 # FP0 IS U*V
fadd.x %fp2,%fp1 # B1+W*(B3+W*B5) + V*(B2+W*B4), FP2 RELEASED
fmovm.x (%sp)+,&0x30 # FP2-3 RESTORED
fmul.x %fp1,%fp0 # U*V*( [B1+W*(B3+W*B5)] + [V*(B2+W*B4)] )
fmov.l %d0,%fpcr
fadd.x SAVEU(%a6),%fp0
bra t_inx2
#--REGISTERS SAVED FPCR. LOG(-VE) IS INVALID
LOGNEG:
bra t_operr
global slognd
slognd:
#--ENTRY POINT FOR LOG(X) FOR DENORMALIZED INPUT
mov.l &-100,ADJK(%a6) # INPUT = 2^(ADJK) * FP0
#----normalize the input value by left shifting k bits (k to be determined
#----below), adjusting exponent and storing -k to ADJK
#----the value TWOTO100 is no longer needed.
#----Note that this code assumes the denormalized input is NON-ZERO.
movm.l &0x3f00,-(%sp) # save some registers {d2-d7}
mov.l (%a0),%d3 # D3 is exponent of smallest norm. #
mov.l 4(%a0),%d4
mov.l 8(%a0),%d5 # (D4,D5) is (Hi_X,Lo_X)
clr.l %d2 # D2 used for holding K
tst.l %d4
bne.b Hi_not0
Hi_0:
mov.l %d5,%d4
clr.l %d5
mov.l &32,%d2
clr.l %d6
bfffo %d4{&0:&32},%d6
lsl.l %d6,%d4
add.l %d6,%d2 # (D3,D4,D5) is normalized
mov.l %d3,X(%a6)
mov.l %d4,XFRAC(%a6)
mov.l %d5,XFRAC+4(%a6)
neg.l %d2
mov.l %d2,ADJK(%a6)
fmov.x X(%a6),%fp0
movm.l (%sp)+,&0xfc # restore registers {d2-d7}
lea X(%a6),%a0
bra.w LOGBGN # begin regular log(X)
Hi_not0:
clr.l %d6
bfffo %d4{&0:&32},%d6 # find first 1
mov.l %d6,%d2 # get k
lsl.l %d6,%d4
mov.l %d5,%d7 # a copy of D5
lsl.l %d6,%d5
neg.l %d6
add.l &32,%d6
lsr.l %d6,%d7
or.l %d7,%d4 # (D3,D4,D5) normalized
mov.l %d3,X(%a6)
mov.l %d4,XFRAC(%a6)
mov.l %d5,XFRAC+4(%a6)
neg.l %d2
mov.l %d2,ADJK(%a6)
fmov.x X(%a6),%fp0
movm.l (%sp)+,&0xfc # restore registers {d2-d7}
lea X(%a6),%a0
bra.w LOGBGN # begin regular log(X)
global slognp1
#--ENTRY POINT FOR LOG(1+X) FOR X FINITE, NON-ZERO, NOT NAN'S
slognp1:
fmov.x (%a0),%fp0 # LOAD INPUT
fabs.x %fp0 # test magnitude
fcmp.x %fp0,LTHOLD(%pc) # compare with min threshold
fbgt.w LP1REAL # if greater, continue
fmov.l %d0,%fpcr
mov.b &FMOV_OP,%d1 # last inst is MOVE
fmov.x (%a0),%fp0 # return signed argument
bra t_catch
LP1REAL:
fmov.x (%a0),%fp0 # LOAD INPUT
mov.l &0x00000000,ADJK(%a6)
fmov.x %fp0,%fp1 # FP1 IS INPUT Z
fadd.s one(%pc),%fp0 # X := ROUND(1+Z)
fmov.x %fp0,X(%a6)
mov.w XFRAC(%a6),XDCARE(%a6)
mov.l X(%a6),%d1
cmp.l %d1,&0
ble.w LP1NEG0 # LOG OF ZERO OR -VE
cmp.l %d1,&0x3ffe8000 # IS BOUNDS [1/2,3/2]?
blt.w LOGMAIN
cmp.l %d1,&0x3fffc000
bgt.w LOGMAIN
#--IF 1+Z > 3/2 OR 1+Z < 1/2, THEN X, WHICH IS ROUNDING 1+Z,
#--CONTAINS AT LEAST 63 BITS OF INFORMATION OF Z. IN THAT CASE,
#--SIMPLY INVOKE LOG(X) FOR LOG(1+Z).
LP1NEAR1:
#--NEXT SEE IF EXP(-1/16) < X < EXP(1/16)
cmp.l %d1,&0x3ffef07d
blt.w LP1CARE
cmp.l %d1,&0x3fff8841
bgt.w LP1CARE
LP1ONE16:
#--EXP(-1/16) < X < EXP(1/16). LOG(1+Z) = LOG(1+U/2) - LOG(1-U/2)
#--WHERE U = 2Z/(2+Z) = 2Z/(1+X).
fadd.x %fp1,%fp1 # FP1 IS 2Z
fadd.s one(%pc),%fp0 # FP0 IS 1+X
#--U = FP1/FP0
bra.w LP1CONT2
LP1CARE:
#--HERE WE USE THE USUAL TABLE DRIVEN APPROACH. CARE HAS TO BE
#--TAKEN BECAUSE 1+Z CAN HAVE 67 BITS OF INFORMATION AND WE MUST
#--PRESERVE ALL THE INFORMATION. BECAUSE 1+Z IS IN [1/2,3/2],
#--THERE ARE ONLY TWO CASES.
#--CASE 1: 1+Z < 1, THEN K = -1 AND Y-F = (2-F) + 2Z
#--CASE 2: 1+Z > 1, THEN K = 0 AND Y-F = (1-F) + Z
#--ON RETURNING TO LP1CONT1, WE MUST HAVE K IN FP1, ADDRESS OF
#--(1/F) IN A0, Y-F IN FP0, AND FP2 SAVED.
mov.l XFRAC(%a6),FFRAC(%a6)
and.l &0xFE000000,FFRAC(%a6)
or.l &0x01000000,FFRAC(%a6) # F OBTAINED
cmp.l %d1,&0x3FFF8000 # SEE IF 1+Z > 1
bge.b KISZERO
KISNEG1:
fmov.s TWO(%pc),%fp0
mov.l &0x3fff0000,F(%a6)
clr.l F+8(%a6)
fsub.x F(%a6),%fp0 # 2-F
mov.l FFRAC(%a6),%d1
and.l &0x7E000000,%d1
asr.l &8,%d1
asr.l &8,%d1
asr.l &4,%d1 # D0 CONTAINS DISPLACEMENT FOR 1/F
fadd.x %fp1,%fp1 # GET 2Z
fmovm.x &0xc,-(%sp) # SAVE FP2 {%fp2/%fp3}
fadd.x %fp1,%fp0 # FP0 IS Y-F = (2-F)+2Z
lea LOGTBL(%pc),%a0 # A0 IS ADDRESS OF 1/F
add.l %d1,%a0
fmov.s negone(%pc),%fp1 # FP1 IS K = -1
bra.w LP1CONT1
KISZERO:
fmov.s one(%pc),%fp0
mov.l &0x3fff0000,F(%a6)
clr.l F+8(%a6)
fsub.x F(%a6),%fp0 # 1-F
mov.l FFRAC(%a6),%d1
and.l &0x7E000000,%d1
asr.l &8,%d1
asr.l &8,%d1
asr.l &4,%d1
fadd.x %fp1,%fp0 # FP0 IS Y-F
fmovm.x &0xc,-(%sp) # FP2 SAVED {%fp2/%fp3}
lea LOGTBL(%pc),%a0
add.l %d1,%a0 # A0 IS ADDRESS OF 1/F
fmov.s zero(%pc),%fp1 # FP1 IS K = 0
bra.w LP1CONT1
LP1NEG0:
#--FPCR SAVED. D0 IS X IN COMPACT FORM.
cmp.l %d1,&0
blt.b LP1NEG
LP1ZERO:
fmov.s negone(%pc),%fp0
fmov.l %d0,%fpcr
bra t_dz
LP1NEG:
fmov.s zero(%pc),%fp0
fmov.l %d0,%fpcr
bra t_operr
global slognp1d
#--ENTRY POINT FOR LOG(1+Z) FOR DENORMALIZED INPUT
# Simply return the denorm
slognp1d:
bra t_extdnrm
#########################################################################
# satanh(): computes the inverse hyperbolic tangent of a norm input #
# satanhd(): computes the inverse hyperbolic tangent of a denorm input #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# d0 = round precision,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = arctanh(X) #
# #
# ACCURACY and MONOTONICITY ******************************************* #
# The returned result is within 3 ulps in 64 significant bit, #
# i.e. within 0.5001 ulp to 53 bits if the result is subsequently #
# rounded to double precision. The result is provably monotonic #
# in double precision. #
# #
# ALGORITHM *********************************************************** #
# #
# ATANH #
# 1. If |X| >= 1, go to 3. #
# #
# 2. (|X| < 1) Calculate atanh(X) by #
# sgn := sign(X) #
# y := |X| #
# z := 2y/(1-y) #
# atanh(X) := sgn * (1/2) * logp1(z) #
# Exit. #
# #
# 3. If |X| > 1, go to 5. #
# #
# 4. (|X| = 1) Generate infinity with an appropriate sign and #
# divide-by-zero by #
# sgn := sign(X) #
# atan(X) := sgn / (+0). #
# Exit. #
# #
# 5. (|X| > 1) Generate an invalid operation by 0 * infinity. #
# Exit. #
# #
#########################################################################
global satanh
satanh:
mov.l (%a0),%d1
mov.w 4(%a0),%d1
and.l &0x7FFFFFFF,%d1
cmp.l %d1,&0x3FFF8000
bge.b ATANHBIG
#--THIS IS THE USUAL CASE, |X| < 1
#--Y = |X|, Z = 2Y/(1-Y), ATANH(X) = SIGN(X) * (1/2) * LOG1P(Z).
fabs.x (%a0),%fp0 # Y = |X|
fmov.x %fp0,%fp1
fneg.x %fp1 # -Y
fadd.x %fp0,%fp0 # 2Y
fadd.s &0x3F800000,%fp1 # 1-Y
fdiv.x %fp1,%fp0 # 2Y/(1-Y)
mov.l (%a0),%d1
and.l &0x80000000,%d1
or.l &0x3F000000,%d1 # SIGN(X)*HALF
mov.l %d1,-(%sp)
mov.l %d0,-(%sp) # save rnd prec,mode
clr.l %d0 # pass ext prec,RN
fmovm.x &0x01,-(%sp) # save Z on stack
lea (%sp),%a0 # pass ptr to Z
bsr slognp1 # LOG1P(Z)
add.l &0xc,%sp # clear Z from stack
mov.l (%sp)+,%d0 # fetch old prec,mode
fmov.l %d0,%fpcr # load it
mov.b &FMUL_OP,%d1 # last inst is MUL
fmul.s (%sp)+,%fp0
bra t_catch
ATANHBIG:
fabs.x (%a0),%fp0 # |X|
fcmp.s %fp0,&0x3F800000
fbgt t_operr
bra t_dz
global satanhd
#--ATANH(X) = X FOR DENORMALIZED X
satanhd:
bra t_extdnrm
#########################################################################
# slog10(): computes the base-10 logarithm of a normalized input #
# slog10d(): computes the base-10 logarithm of a denormalized input #
# slog2(): computes the base-2 logarithm of a normalized input #
# slog2d(): computes the base-2 logarithm of a denormalized input #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# d0 = round precision,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = log_10(X) or log_2(X) #
# #
# ACCURACY and MONOTONICITY ******************************************* #
# The returned result is within 1.7 ulps in 64 significant bit, #
# i.e. within 0.5003 ulp to 53 bits if the result is subsequently #
# rounded to double precision. The result is provably monotonic #
# in double precision. #
# #
# ALGORITHM *********************************************************** #
# #
# slog10d: #
# #
# Step 0. If X < 0, create a NaN and raise the invalid operation #
# flag. Otherwise, save FPCR in D1; set FpCR to default. #
# Notes: Default means round-to-nearest mode, no floating-point #
# traps, and precision control = double extended. #
# #
# Step 1. Call slognd to obtain Y = log(X), the natural log of X. #
# Notes: Even if X is denormalized, log(X) is always normalized. #
# #
# Step 2. Compute log_10(X) = log(X) * (1/log(10)). #
# 2.1 Restore the user FPCR #
# 2.2 Return ans := Y * INV_L10. #
# #
# slog10: #
# #
# Step 0. If X < 0, create a NaN and raise the invalid operation #
# flag. Otherwise, save FPCR in D1; set FpCR to default. #
# Notes: Default means round-to-nearest mode, no floating-point #
# traps, and precision control = double extended. #
# #
# Step 1. Call sLogN to obtain Y = log(X), the natural log of X. #
# #
# Step 2. Compute log_10(X) = log(X) * (1/log(10)). #
# 2.1 Restore the user FPCR #
# 2.2 Return ans := Y * INV_L10. #
# #
# sLog2d: #
# #
# Step 0. If X < 0, create a NaN and raise the invalid operation #
# flag. Otherwise, save FPCR in D1; set FpCR to default. #
# Notes: Default means round-to-nearest mode, no floating-point #
# traps, and precision control = double extended. #
# #
# Step 1. Call slognd to obtain Y = log(X), the natural log of X. #
# Notes: Even if X is denormalized, log(X) is always normalized. #
# #
# Step 2. Compute log_10(X) = log(X) * (1/log(2)). #
# 2.1 Restore the user FPCR #
# 2.2 Return ans := Y * INV_L2. #
# #
# sLog2: #
# #
# Step 0. If X < 0, create a NaN and raise the invalid operation #
# flag. Otherwise, save FPCR in D1; set FpCR to default. #
# Notes: Default means round-to-nearest mode, no floating-point #
# traps, and precision control = double extended. #
# #
# Step 1. If X is not an integer power of two, i.e., X != 2^k, #
# go to Step 3. #
# #
# Step 2. Return k. #
# 2.1 Get integer k, X = 2^k. #
# 2.2 Restore the user FPCR. #
# 2.3 Return ans := convert-to-double-extended(k). #
# #
# Step 3. Call sLogN to obtain Y = log(X), the natural log of X. #
# #
# Step 4. Compute log_2(X) = log(X) * (1/log(2)). #
# 4.1 Restore the user FPCR #
# 4.2 Return ans := Y * INV_L2. #
# #
#########################################################################
INV_L10:
long 0x3FFD0000,0xDE5BD8A9,0x37287195,0x00000000
INV_L2:
long 0x3FFF0000,0xB8AA3B29,0x5C17F0BC,0x00000000
global slog10
#--entry point for Log10(X), X is normalized
slog10:
fmov.b &0x1,%fp0
fcmp.x %fp0,(%a0) # if operand == 1,
fbeq.l ld_pzero # return an EXACT zero
mov.l (%a0),%d1
blt.w invalid
mov.l %d0,-(%sp)
clr.l %d0
bsr slogn # log(X), X normal.
fmov.l (%sp)+,%fpcr
fmul.x INV_L10(%pc),%fp0
bra t_inx2
global slog10d
#--entry point for Log10(X), X is denormalized
slog10d:
mov.l (%a0),%d1
blt.w invalid
mov.l %d0,-(%sp)
clr.l %d0
bsr slognd # log(X), X denorm.
fmov.l (%sp)+,%fpcr
fmul.x INV_L10(%pc),%fp0
bra t_minx2
global slog2
#--entry point for Log2(X), X is normalized
slog2:
mov.l (%a0),%d1
blt.w invalid
mov.l 8(%a0),%d1
bne.b continue # X is not 2^k
mov.l 4(%a0),%d1
and.l &0x7FFFFFFF,%d1
bne.b continue
#--X = 2^k.
mov.w (%a0),%d1
and.l &0x00007FFF,%d1
sub.l &0x3FFF,%d1
beq.l ld_pzero
fmov.l %d0,%fpcr
fmov.l %d1,%fp0
bra t_inx2
continue:
mov.l %d0,-(%sp)
clr.l %d0
bsr slogn # log(X), X normal.
fmov.l (%sp)+,%fpcr
fmul.x INV_L2(%pc),%fp0
bra t_inx2
invalid:
bra t_operr
global slog2d
#--entry point for Log2(X), X is denormalized
slog2d:
mov.l (%a0),%d1
blt.w invalid
mov.l %d0,-(%sp)
clr.l %d0
bsr slognd # log(X), X denorm.
fmov.l (%sp)+,%fpcr
fmul.x INV_L2(%pc),%fp0
bra t_minx2
#########################################################################
# stwotox(): computes 2**X for a normalized input #
# stwotoxd(): computes 2**X for a denormalized input #
# stentox(): computes 10**X for a normalized input #
# stentoxd(): computes 10**X for a denormalized input #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input #
# d0 = round precision,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = 2**X or 10**X #
# #
# ACCURACY and MONOTONICITY ******************************************* #
# The returned result is within 2 ulps in 64 significant bit, #
# i.e. within 0.5001 ulp to 53 bits if the result is subsequently #
# rounded to double precision. The result is provably monotonic #
# in double precision. #
# #
# ALGORITHM *********************************************************** #
# #
# twotox #
# 1. If |X| > 16480, go to ExpBig. #
# #
# 2. If |X| < 2**(-70), go to ExpSm. #
# #
# 3. Decompose X as X = N/64 + r where |r| <= 1/128. Furthermore #
# decompose N as #
# N = 64(M + M') + j, j = 0,1,2,...,63. #
# #
# 4. Overwrite r := r * log2. Then #
# 2**X = 2**(M') * 2**(M) * 2**(j/64) * exp(r). #
# Go to expr to compute that expression. #
# #
# tentox #
# 1. If |X| > 16480*log_10(2) (base 10 log of 2), go to ExpBig. #
# #
# 2. If |X| < 2**(-70), go to ExpSm. #
# #
# 3. Set y := X*log_2(10)*64 (base 2 log of 10). Set #
# N := round-to-int(y). Decompose N as #
# N = 64(M + M') + j, j = 0,1,2,...,63. #
# #
# 4. Define r as #
# r := ((X - N*L1)-N*L2) * L10 #
# where L1, L2 are the leading and trailing parts of #
# log_10(2)/64 and L10 is the natural log of 10. Then #
# 10**X = 2**(M') * 2**(M) * 2**(j/64) * exp(r). #
# Go to expr to compute that expression. #
# #
# expr #
# 1. Fetch 2**(j/64) from table as Fact1 and Fact2. #
# #
# 2. Overwrite Fact1 and Fact2 by #
# Fact1 := 2**(M) * Fact1 #
# Fact2 := 2**(M) * Fact2 #
# Thus Fact1 + Fact2 = 2**(M) * 2**(j/64). #
# #
# 3. Calculate P where 1 + P approximates exp(r): #
# P = r + r*r*(A1+r*(A2+...+r*A5)). #
# #
# 4. Let AdjFact := 2**(M'). Return #
# AdjFact * ( Fact1 + ((Fact1*P) + Fact2) ). #
# Exit. #
# #
# ExpBig #
# 1. Generate overflow by Huge * Huge if X > 0; otherwise, #
# generate underflow by Tiny * Tiny. #
# #
# ExpSm #
# 1. Return 1 + X. #
# #
#########################################################################
L2TEN64:
long 0x406A934F,0x0979A371 # 64LOG10/LOG2
L10TWO1:
long 0x3F734413,0x509F8000 # LOG2/64LOG10
L10TWO2:
long 0xBFCD0000,0xC0219DC1,0xDA994FD2,0x00000000
LOG10: long 0x40000000,0x935D8DDD,0xAAA8AC17,0x00000000
LOG2: long 0x3FFE0000,0xB17217F7,0xD1CF79AC,0x00000000
EXPA5: long 0x3F56C16D,0x6F7BD0B2
EXPA4: long 0x3F811112,0x302C712C
EXPA3: long 0x3FA55555,0x55554CC1
EXPA2: long 0x3FC55555,0x55554A54
EXPA1: long 0x3FE00000,0x00000000,0x00000000,0x00000000
TEXPTBL:
long 0x3FFF0000,0x80000000,0x00000000,0x3F738000
long 0x3FFF0000,0x8164D1F3,0xBC030773,0x3FBEF7CA
long 0x3FFF0000,0x82CD8698,0xAC2BA1D7,0x3FBDF8A9
long 0x3FFF0000,0x843A28C3,0xACDE4046,0x3FBCD7C9
long 0x3FFF0000,0x85AAC367,0xCC487B15,0xBFBDE8DA
long 0x3FFF0000,0x871F6196,0x9E8D1010,0x3FBDE85C
long 0x3FFF0000,0x88980E80,0x92DA8527,0x3FBEBBF1
long 0x3FFF0000,0x8A14D575,0x496EFD9A,0x3FBB80CA
long 0x3FFF0000,0x8B95C1E3,0xEA8BD6E7,0xBFBA8373
long 0x3FFF0000,0x8D1ADF5B,0x7E5BA9E6,0xBFBE9670
long 0x3FFF0000,0x8EA4398B,0x45CD53C0,0x3FBDB700
long 0x3FFF0000,0x9031DC43,0x1466B1DC,0x3FBEEEB0
long 0x3FFF0000,0x91C3D373,0xAB11C336,0x3FBBFD6D
long 0x3FFF0000,0x935A2B2F,0x13E6E92C,0xBFBDB319
long 0x3FFF0000,0x94F4EFA8,0xFEF70961,0x3FBDBA2B
long 0x3FFF0000,0x96942D37,0x20185A00,0x3FBE91D5
long 0x3FFF0000,0x9837F051,0x8DB8A96F,0x3FBE8D5A
long 0x3FFF0000,0x99E04593,0x20B7FA65,0xBFBCDE7B
long 0x3FFF0000,0x9B8D39B9,0xD54E5539,0xBFBEBAAF
long 0x3FFF0000,0x9D3ED9A7,0x2CFFB751,0xBFBD86DA
long 0x3FFF0000,0x9EF53260,0x91A111AE,0xBFBEBEDD
long 0x3FFF0000,0xA0B0510F,0xB9714FC2,0x3FBCC96E
long 0x3FFF0000,0xA2704303,0x0C496819,0xBFBEC90B
long 0x3FFF0000,0xA43515AE,0x09E6809E,0x3FBBD1DB
long 0x3FFF0000,0xA5FED6A9,0xB15138EA,0x3FBCE5EB
long 0x3FFF0000,0xA7CD93B4,0xE965356A,0xBFBEC274
long 0x3FFF0000,0xA9A15AB4,0xEA7C0EF8,0x3FBEA83C
long 0x3FFF0000,0xAB7A39B5,0xA93ED337,0x3FBECB00
long 0x3FFF0000,0xAD583EEA,0x42A14AC6,0x3FBE9301
long 0x3FFF0000,0xAF3B78AD,0x690A4375,0xBFBD8367
long 0x3FFF0000,0xB123F581,0xD2AC2590,0xBFBEF05F
long 0x3FFF0000,0xB311C412,0xA9112489,0x3FBDFB3C
long 0x3FFF0000,0xB504F333,0xF9DE6484,0x3FBEB2FB
long 0x3FFF0000,0xB6FD91E3,0x28D17791,0x3FBAE2CB
long 0x3FFF0000,0xB8FBAF47,0x62FB9EE9,0x3FBCDC3C
long 0x3FFF0000,0xBAFF5AB2,0x133E45FB,0x3FBEE9AA
long 0x3FFF0000,0xBD08A39F,0x580C36BF,0xBFBEAEFD
long 0x3FFF0000,0xBF1799B6,0x7A731083,0xBFBCBF51
long 0x3FFF0000,0xC12C4CCA,0x66709456,0x3FBEF88A
long 0x3FFF0000,0xC346CCDA,0x24976407,0x3FBD83B2
long 0x3FFF0000,0xC5672A11,0x5506DADD,0x3FBDF8AB
long 0x3FFF0000,0xC78D74C8,0xABB9B15D,0xBFBDFB17
long 0x3FFF0000,0xC9B9BD86,0x6E2F27A3,0xBFBEFE3C
long 0x3FFF0000,0xCBEC14FE,0xF2727C5D,0xBFBBB6F8
long 0x3FFF0000,0xCE248C15,0x1F8480E4,0xBFBCEE53
long 0x3FFF0000,0xD06333DA,0xEF2B2595,0xBFBDA4AE
long 0x3FFF0000,0xD2A81D91,0xF12AE45A,0x3FBC9124
long 0x3FFF0000,0xD4F35AAB,0xCFEDFA1F,0x3FBEB243
long 0x3FFF0000,0xD744FCCA,0xD69D6AF4,0x3FBDE69A
long 0x3FFF0000,0xD99D15C2,0x78AFD7B6,0xBFB8BC61
long 0x3FFF0000,0xDBFBB797,0xDAF23755,0x3FBDF610
long 0x3FFF0000,0xDE60F482,0x5E0E9124,0xBFBD8BE1
long 0x3FFF0000,0xE0CCDEEC,0x2A94E111,0x3FBACB12
long 0x3FFF0000,0xE33F8972,0xBE8A5A51,0x3FBB9BFE
long 0x3FFF0000,0xE5B906E7,0x7C8348A8,0x3FBCF2F4
long 0x3FFF0000,0xE8396A50,0x3C4BDC68,0x3FBEF22F
long 0x3FFF0000,0xEAC0C6E7,0xDD24392F,0xBFBDBF4A
long 0x3FFF0000,0xED4F301E,0xD9942B84,0x3FBEC01A
long 0x3FFF0000,0xEFE4B99B,0xDCDAF5CB,0x3FBE8CAC
long 0x3FFF0000,0xF281773C,0x59FFB13A,0xBFBCBB3F
long 0x3FFF0000,0xF5257D15,0x2486CC2C,0x3FBEF73A
long 0x3FFF0000,0xF7D0DF73,0x0AD13BB9,0xBFB8B795
long 0x3FFF0000,0xFA83B2DB,0x722A033A,0x3FBEF84B
long 0x3FFF0000,0xFD3E0C0C,0xF486C175,0xBFBEF581
set INT,L_SCR1
set X,FP_SCR0
set XDCARE,X+2
set XFRAC,X+4
set ADJFACT,FP_SCR0
set FACT1,FP_SCR0
set FACT1HI,FACT1+4
set FACT1LOW,FACT1+8
set FACT2,FP_SCR1
set FACT2HI,FACT2+4
set FACT2LOW,FACT2+8
global stwotox
#--ENTRY POINT FOR 2**(X), HERE X IS FINITE, NON-ZERO, AND NOT NAN'S
stwotox:
fmovm.x (%a0),&0x80 # LOAD INPUT
mov.l (%a0),%d1
mov.w 4(%a0),%d1
fmov.x %fp0,X(%a6)
and.l &0x7FFFFFFF,%d1
cmp.l %d1,&0x3FB98000 # |X| >= 2**(-70)?
bge.b TWOOK1
bra.w EXPBORS
TWOOK1:
cmp.l %d1,&0x400D80C0 # |X| > 16480?
ble.b TWOMAIN
bra.w EXPBORS
TWOMAIN:
#--USUAL CASE, 2^(-70) <= |X| <= 16480
fmov.x %fp0,%fp1
fmul.s &0x42800000,%fp1 # 64 * X
fmov.l %fp1,INT(%a6) # N = ROUND-TO-INT(64 X)
mov.l %d2,-(%sp)
lea TEXPTBL(%pc),%a1 # LOAD ADDRESS OF TABLE OF 2^(J/64)
fmov.l INT(%a6),%fp1 # N --> FLOATING FMT
mov.l INT(%a6),%d1
mov.l %d1,%d2
and.l &0x3F,%d1 # D0 IS J
asl.l &4,%d1 # DISPLACEMENT FOR 2^(J/64)
add.l %d1,%a1 # ADDRESS FOR 2^(J/64)
asr.l &6,%d2 # d2 IS L, N = 64L + J
mov.l %d2,%d1
asr.l &1,%d1 # D0 IS M
sub.l %d1,%d2 # d2 IS M', N = 64(M+M') + J
add.l &0x3FFF,%d2
#--SUMMARY: a1 IS ADDRESS FOR THE LEADING PORTION OF 2^(J/64),
#--D0 IS M WHERE N = 64(M+M') + J. NOTE THAT |M| <= 16140 BY DESIGN.
#--ADJFACT = 2^(M').
#--REGISTERS SAVED SO FAR ARE (IN ORDER) FPCR, D0, FP1, a1, AND FP2.
fmovm.x &0x0c,-(%sp) # save fp2/fp3
fmul.s &0x3C800000,%fp1 # (1/64)*N
mov.l (%a1)+,FACT1(%a6)
mov.l (%a1)+,FACT1HI(%a6)
mov.l (%a1)+,FACT1LOW(%a6)
mov.w (%a1)+,FACT2(%a6)
fsub.x %fp1,%fp0 # X - (1/64)*INT(64 X)
mov.w (%a1)+,FACT2HI(%a6)
clr.w FACT2HI+2(%a6)
clr.l FACT2LOW(%a6)
add.w %d1,FACT1(%a6)
fmul.x LOG2(%pc),%fp0 # FP0 IS R
add.w %d1,FACT2(%a6)
bra.w expr
EXPBORS:
#--FPCR, D0 SAVED
cmp.l %d1,&0x3FFF8000
bgt.b TEXPBIG
#--|X| IS SMALL, RETURN 1 + X
fmov.l %d0,%fpcr # restore users round prec,mode
fadd.s &0x3F800000,%fp0 # RETURN 1 + X
bra t_pinx2
TEXPBIG:
#--|X| IS LARGE, GENERATE OVERFLOW IF X > 0; ELSE GENERATE UNDERFLOW
#--REGISTERS SAVE SO FAR ARE FPCR AND D0
mov.l X(%a6),%d1
cmp.l %d1,&0
blt.b EXPNEG
bra t_ovfl2 # t_ovfl expects positive value
EXPNEG:
bra t_unfl2 # t_unfl expects positive value
global stwotoxd
stwotoxd:
#--ENTRY POINT FOR 2**(X) FOR DENORMALIZED ARGUMENT
fmov.l %d0,%fpcr # set user's rounding mode/precision
fmov.s &0x3F800000,%fp0 # RETURN 1 + X
mov.l (%a0),%d1
or.l &0x00800001,%d1
fadd.s %d1,%fp0
bra t_pinx2
global stentox
#--ENTRY POINT FOR 10**(X), HERE X IS FINITE, NON-ZERO, AND NOT NAN'S
stentox:
fmovm.x (%a0),&0x80 # LOAD INPUT
mov.l (%a0),%d1
mov.w 4(%a0),%d1
fmov.x %fp0,X(%a6)
and.l &0x7FFFFFFF,%d1
cmp.l %d1,&0x3FB98000 # |X| >= 2**(-70)?
bge.b TENOK1
bra.w EXPBORS
TENOK1:
cmp.l %d1,&0x400B9B07 # |X| <= 16480*log2/log10 ?
ble.b TENMAIN
bra.w EXPBORS
TENMAIN:
#--USUAL CASE, 2^(-70) <= |X| <= 16480 LOG 2 / LOG 10
fmov.x %fp0,%fp1
fmul.d L2TEN64(%pc),%fp1 # X*64*LOG10/LOG2
fmov.l %fp1,INT(%a6) # N=INT(X*64*LOG10/LOG2)
mov.l %d2,-(%sp)
lea TEXPTBL(%pc),%a1 # LOAD ADDRESS OF TABLE OF 2^(J/64)
fmov.l INT(%a6),%fp1 # N --> FLOATING FMT
mov.l INT(%a6),%d1
mov.l %d1,%d2
and.l &0x3F,%d1 # D0 IS J
asl.l &4,%d1 # DISPLACEMENT FOR 2^(J/64)
add.l %d1,%a1 # ADDRESS FOR 2^(J/64)
asr.l &6,%d2 # d2 IS L, N = 64L + J
mov.l %d2,%d1
asr.l &1,%d1 # D0 IS M
sub.l %d1,%d2 # d2 IS M', N = 64(M+M') + J
add.l &0x3FFF,%d2
#--SUMMARY: a1 IS ADDRESS FOR THE LEADING PORTION OF 2^(J/64),
#--D0 IS M WHERE N = 64(M+M') + J. NOTE THAT |M| <= 16140 BY DESIGN.
#--ADJFACT = 2^(M').
#--REGISTERS SAVED SO FAR ARE (IN ORDER) FPCR, D0, FP1, a1, AND FP2.
fmovm.x &0x0c,-(%sp) # save fp2/fp3
fmov.x %fp1,%fp2
fmul.d L10TWO1(%pc),%fp1 # N*(LOG2/64LOG10)_LEAD
mov.l (%a1)+,FACT1(%a6)
fmul.x L10TWO2(%pc),%fp2 # N*(LOG2/64LOG10)_TRAIL
mov.l (%a1)+,FACT1HI(%a6)
mov.l (%a1)+,FACT1LOW(%a6)
fsub.x %fp1,%fp0 # X - N L_LEAD
mov.w (%a1)+,FACT2(%a6)
fsub.x %fp2,%fp0 # X - N L_TRAIL
mov.w (%a1)+,FACT2HI(%a6)
clr.w FACT2HI+2(%a6)
clr.l FACT2LOW(%a6)
fmul.x LOG10(%pc),%fp0 # FP0 IS R
add.w %d1,FACT1(%a6)
add.w %d1,FACT2(%a6)
expr:
#--FPCR, FP2, FP3 ARE SAVED IN ORDER AS SHOWN.
#--ADJFACT CONTAINS 2**(M'), FACT1 + FACT2 = 2**(M) * 2**(J/64).
#--FP0 IS R. THE FOLLOWING CODE COMPUTES
#-- 2**(M'+M) * 2**(J/64) * EXP(R)
fmov.x %fp0,%fp1
fmul.x %fp1,%fp1 # FP1 IS S = R*R
fmov.d EXPA5(%pc),%fp2 # FP2 IS A5
fmov.d EXPA4(%pc),%fp3 # FP3 IS A4
fmul.x %fp1,%fp2 # FP2 IS S*A5
fmul.x %fp1,%fp3 # FP3 IS S*A4
fadd.d EXPA3(%pc),%fp2 # FP2 IS A3+S*A5
fadd.d EXPA2(%pc),%fp3 # FP3 IS A2+S*A4
fmul.x %fp1,%fp2 # FP2 IS S*(A3+S*A5)
fmul.x %fp1,%fp3 # FP3 IS S*(A2+S*A4)
fadd.d EXPA1(%pc),%fp2 # FP2 IS A1+S*(A3+S*A5)
fmul.x %fp0,%fp3 # FP3 IS R*S*(A2+S*A4)
fmul.x %fp1,%fp2 # FP2 IS S*(A1+S*(A3+S*A5))
fadd.x %fp3,%fp0 # FP0 IS R+R*S*(A2+S*A4)
fadd.x %fp2,%fp0 # FP0 IS EXP(R) - 1
fmovm.x (%sp)+,&0x30 # restore fp2/fp3
#--FINAL RECONSTRUCTION PROCESS
#--EXP(X) = 2^M*2^(J/64) + 2^M*2^(J/64)*(EXP(R)-1) - (1 OR 0)
fmul.x FACT1(%a6),%fp0
fadd.x FACT2(%a6),%fp0
fadd.x FACT1(%a6),%fp0
fmov.l %d0,%fpcr # restore users round prec,mode
mov.w %d2,ADJFACT(%a6) # INSERT EXPONENT
mov.l (%sp)+,%d2
mov.l &0x80000000,ADJFACT+4(%a6)
clr.l ADJFACT+8(%a6)
mov.b &FMUL_OP,%d1 # last inst is MUL
fmul.x ADJFACT(%a6),%fp0 # FINAL ADJUSTMENT
bra t_catch
global stentoxd
stentoxd:
#--ENTRY POINT FOR 10**(X) FOR DENORMALIZED ARGUMENT
fmov.l %d0,%fpcr # set user's rounding mode/precision
fmov.s &0x3F800000,%fp0 # RETURN 1 + X
mov.l (%a0),%d1
or.l &0x00800001,%d1
fadd.s %d1,%fp0
bra t_pinx2
#########################################################################
# smovcr(): returns the ROM constant at the offset specified in d1 #
# rounded to the mode and precision specified in d0. #
# #
# INPUT *************************************************************** #
# d0 = rnd prec,mode #
# d1 = ROM offset #
# #
# OUTPUT ************************************************************** #
# fp0 = the ROM constant rounded to the user's rounding mode,prec #
# #
#########################################################################
global smovcr
smovcr:
mov.l %d1,-(%sp) # save rom offset for a sec
lsr.b &0x4,%d0 # shift ctrl bits to lo
mov.l %d0,%d1 # make a copy
andi.w &0x3,%d1 # extract rnd mode
andi.w &0xc,%d0 # extract rnd prec
swap %d0 # put rnd prec in hi
mov.w %d1,%d0 # put rnd mode in lo
mov.l (%sp)+,%d1 # get rom offset
#
# check range of offset
#
tst.b %d1 # if zero, offset is to pi
beq.b pi_tbl # it is pi
cmpi.b %d1,&0x0a # check range $01 - $0a
ble.b z_val # if in this range, return zero
cmpi.b %d1,&0x0e # check range $0b - $0e
ble.b sm_tbl # valid constants in this range
cmpi.b %d1,&0x2f # check range $10 - $2f
ble.b z_val # if in this range, return zero
cmpi.b %d1,&0x3f # check range $30 - $3f
ble.b bg_tbl # valid constants in this range
z_val:
bra.l ld_pzero # return a zero
#
# the answer is PI rounded to the proper precision.
#
# fetch a pointer to the answer table relating to the proper rounding
# precision.
#
pi_tbl:
tst.b %d0 # is rmode RN?
bne.b pi_not_rn # no
pi_rn:
lea.l PIRN(%pc),%a0 # yes; load PI RN table addr
bra.w set_finx
pi_not_rn:
cmpi.b %d0,&rp_mode # is rmode RP?
beq.b pi_rp # yes
pi_rzrm:
lea.l PIRZRM(%pc),%a0 # no; load PI RZ,RM table addr
bra.b set_finx
pi_rp:
lea.l PIRP(%pc),%a0 # load PI RP table addr
bra.b set_finx
#
# the answer is one of:
# $0B log10(2) (inexact)
# $0C e (inexact)
# $0D log2(e) (inexact)
# $0E log10(e) (exact)
#
# fetch a pointer to the answer table relating to the proper rounding
# precision.
#
sm_tbl:
subi.b &0xb,%d1 # make offset in 0-4 range
tst.b %d0 # is rmode RN?
bne.b sm_not_rn # no
sm_rn:
lea.l SMALRN(%pc),%a0 # yes; load RN table addr
sm_tbl_cont:
cmpi.b %d1,&0x2 # is result log10(e)?
ble.b set_finx # no; answer is inexact
bra.b no_finx # yes; answer is exact
sm_not_rn:
cmpi.b %d0,&rp_mode # is rmode RP?
beq.b sm_rp # yes
sm_rzrm:
lea.l SMALRZRM(%pc),%a0 # no; load RZ,RM table addr
bra.b sm_tbl_cont
sm_rp:
lea.l SMALRP(%pc),%a0 # load RP table addr
bra.b sm_tbl_cont
#
# the answer is one of:
# $30 ln(2) (inexact)
# $31 ln(10) (inexact)
# $32 10^0 (exact)
# $33 10^1 (exact)
# $34 10^2 (exact)
# $35 10^4 (exact)
# $36 10^8 (exact)
# $37 10^16 (exact)
# $38 10^32 (inexact)
# $39 10^64 (inexact)
# $3A 10^128 (inexact)
# $3B 10^256 (inexact)
# $3C 10^512 (inexact)
# $3D 10^1024 (inexact)
# $3E 10^2048 (inexact)
# $3F 10^4096 (inexact)
#
# fetch a pointer to the answer table relating to the proper rounding
# precision.
#
bg_tbl:
subi.b &0x30,%d1 # make offset in 0-f range
tst.b %d0 # is rmode RN?
bne.b bg_not_rn # no
bg_rn:
lea.l BIGRN(%pc),%a0 # yes; load RN table addr
bg_tbl_cont:
cmpi.b %d1,&0x1 # is offset <= $31?
ble.b set_finx # yes; answer is inexact
cmpi.b %d1,&0x7 # is $32 <= offset <= $37?
ble.b no_finx # yes; answer is exact
bra.b set_finx # no; answer is inexact
bg_not_rn:
cmpi.b %d0,&rp_mode # is rmode RP?
beq.b bg_rp # yes
bg_rzrm:
lea.l BIGRZRM(%pc),%a0 # no; load RZ,RM table addr
bra.b bg_tbl_cont
bg_rp:
lea.l BIGRP(%pc),%a0 # load RP table addr
bra.b bg_tbl_cont
# answer is inexact, so set INEX2 and AINEX in the user's FPSR.
set_finx:
ori.l &inx2a_mask,USER_FPSR(%a6) # set INEX2/AINEX
no_finx:
mulu.w &0xc,%d1 # offset points into tables
swap %d0 # put rnd prec in lo word
tst.b %d0 # is precision extended?
bne.b not_ext # if xprec, do not call round
# Precision is extended
fmovm.x (%a0,%d1.w),&0x80 # return result in fp0
rts
# Precision is single or double
not_ext:
swap %d0 # rnd prec in upper word
# call round() to round the answer to the proper precision.
# exponents out of range for single or double DO NOT cause underflow
# or overflow.
mov.w 0x0(%a0,%d1.w),FP_SCR1_EX(%a6) # load first word
mov.l 0x4(%a0,%d1.w),FP_SCR1_HI(%a6) # load second word
mov.l 0x8(%a0,%d1.w),FP_SCR1_LO(%a6) # load third word
mov.l %d0,%d1
clr.l %d0 # clear g,r,s
lea FP_SCR1(%a6),%a0 # pass ptr to answer
clr.w LOCAL_SGN(%a0) # sign always positive
bsr.l _round # round the mantissa
fmovm.x (%a0),&0x80 # return rounded result in fp0
rts
align 0x4
PIRN: long 0x40000000,0xc90fdaa2,0x2168c235 # pi
PIRZRM: long 0x40000000,0xc90fdaa2,0x2168c234 # pi
PIRP: long 0x40000000,0xc90fdaa2,0x2168c235 # pi
SMALRN: long 0x3ffd0000,0x9a209a84,0xfbcff798 # log10(2)
long 0x40000000,0xadf85458,0xa2bb4a9a # e
long 0x3fff0000,0xb8aa3b29,0x5c17f0bc # log2(e)
long 0x3ffd0000,0xde5bd8a9,0x37287195 # log10(e)
long 0x00000000,0x00000000,0x00000000 # 0.0
SMALRZRM:
long 0x3ffd0000,0x9a209a84,0xfbcff798 # log10(2)
long 0x40000000,0xadf85458,0xa2bb4a9a # e
long 0x3fff0000,0xb8aa3b29,0x5c17f0bb # log2(e)
long 0x3ffd0000,0xde5bd8a9,0x37287195 # log10(e)
long 0x00000000,0x00000000,0x00000000 # 0.0
SMALRP: long 0x3ffd0000,0x9a209a84,0xfbcff799 # log10(2)
long 0x40000000,0xadf85458,0xa2bb4a9b # e
long 0x3fff0000,0xb8aa3b29,0x5c17f0bc # log2(e)
long 0x3ffd0000,0xde5bd8a9,0x37287195 # log10(e)
long 0x00000000,0x00000000,0x00000000 # 0.0
BIGRN: long 0x3ffe0000,0xb17217f7,0xd1cf79ac # ln(2)
long 0x40000000,0x935d8ddd,0xaaa8ac17 # ln(10)
long 0x3fff0000,0x80000000,0x00000000 # 10 ^ 0
long 0x40020000,0xA0000000,0x00000000 # 10 ^ 1
long 0x40050000,0xC8000000,0x00000000 # 10 ^ 2
long 0x400C0000,0x9C400000,0x00000000 # 10 ^ 4
long 0x40190000,0xBEBC2000,0x00000000 # 10 ^ 8
long 0x40340000,0x8E1BC9BF,0x04000000 # 10 ^ 16
long 0x40690000,0x9DC5ADA8,0x2B70B59E # 10 ^ 32
long 0x40D30000,0xC2781F49,0xFFCFA6D5 # 10 ^ 64
long 0x41A80000,0x93BA47C9,0x80E98CE0 # 10 ^ 128
long 0x43510000,0xAA7EEBFB,0x9DF9DE8E # 10 ^ 256
long 0x46A30000,0xE319A0AE,0xA60E91C7 # 10 ^ 512
long 0x4D480000,0xC9767586,0x81750C17 # 10 ^ 1024
long 0x5A920000,0x9E8B3B5D,0xC53D5DE5 # 10 ^ 2048
long 0x75250000,0xC4605202,0x8A20979B # 10 ^ 4096
BIGRZRM:
long 0x3ffe0000,0xb17217f7,0xd1cf79ab # ln(2)
long 0x40000000,0x935d8ddd,0xaaa8ac16 # ln(10)
long 0x3fff0000,0x80000000,0x00000000 # 10 ^ 0
long 0x40020000,0xA0000000,0x00000000 # 10 ^ 1
long 0x40050000,0xC8000000,0x00000000 # 10 ^ 2
long 0x400C0000,0x9C400000,0x00000000 # 10 ^ 4
long 0x40190000,0xBEBC2000,0x00000000 # 10 ^ 8
long 0x40340000,0x8E1BC9BF,0x04000000 # 10 ^ 16
long 0x40690000,0x9DC5ADA8,0x2B70B59D # 10 ^ 32
long 0x40D30000,0xC2781F49,0xFFCFA6D5 # 10 ^ 64
long 0x41A80000,0x93BA47C9,0x80E98CDF # 10 ^ 128
long 0x43510000,0xAA7EEBFB,0x9DF9DE8D # 10 ^ 256
long 0x46A30000,0xE319A0AE,0xA60E91C6 # 10 ^ 512
long 0x4D480000,0xC9767586,0x81750C17 # 10 ^ 1024
long 0x5A920000,0x9E8B3B5D,0xC53D5DE4 # 10 ^ 2048
long 0x75250000,0xC4605202,0x8A20979A # 10 ^ 4096
BIGRP:
long 0x3ffe0000,0xb17217f7,0xd1cf79ac # ln(2)
long 0x40000000,0x935d8ddd,0xaaa8ac17 # ln(10)
long 0x3fff0000,0x80000000,0x00000000 # 10 ^ 0
long 0x40020000,0xA0000000,0x00000000 # 10 ^ 1
long 0x40050000,0xC8000000,0x00000000 # 10 ^ 2
long 0x400C0000,0x9C400000,0x00000000 # 10 ^ 4
long 0x40190000,0xBEBC2000,0x00000000 # 10 ^ 8
long 0x40340000,0x8E1BC9BF,0x04000000 # 10 ^ 16
long 0x40690000,0x9DC5ADA8,0x2B70B59E # 10 ^ 32
long 0x40D30000,0xC2781F49,0xFFCFA6D6 # 10 ^ 64
long 0x41A80000,0x93BA47C9,0x80E98CE0 # 10 ^ 128
long 0x43510000,0xAA7EEBFB,0x9DF9DE8E # 10 ^ 256
long 0x46A30000,0xE319A0AE,0xA60E91C7 # 10 ^ 512
long 0x4D480000,0xC9767586,0x81750C18 # 10 ^ 1024
long 0x5A920000,0x9E8B3B5D,0xC53D5DE5 # 10 ^ 2048
long 0x75250000,0xC4605202,0x8A20979B # 10 ^ 4096
#########################################################################
# sscale(): computes the destination operand scaled by the source #
# operand. If the absoulute value of the source operand is #
# >= 2^14, an overflow or underflow is returned. #
# #
# INPUT *************************************************************** #
# a0 = pointer to double-extended source operand X #
# a1 = pointer to double-extended destination operand Y #
# #
# OUTPUT ************************************************************** #
# fp0 = scale(X,Y) #
# #
#########################################################################
set SIGN, L_SCR1
global sscale
sscale:
mov.l %d0,-(%sp) # store off ctrl bits for now
mov.w DST_EX(%a1),%d1 # get dst exponent
smi.b SIGN(%a6) # use SIGN to hold dst sign
andi.l &0x00007fff,%d1 # strip sign from dst exp
mov.w SRC_EX(%a0),%d0 # check src bounds
andi.w &0x7fff,%d0 # clr src sign bit
cmpi.w %d0,&0x3fff # is src ~ ZERO?
blt.w src_small # yes
cmpi.w %d0,&0x400c # no; is src too big?
bgt.w src_out # yes
#
# Source is within 2^14 range.
#
src_ok:
fintrz.x SRC(%a0),%fp0 # calc int of src
fmov.l %fp0,%d0 # int src to d0
# don't want any accrued bits from the fintrz showing up later since
# we may need to read the fpsr for the last fp op in t_catch2().
fmov.l &0x0,%fpsr
tst.b DST_HI(%a1) # is dst denormalized?
bmi.b sok_norm
# the dst is a DENORM. normalize the DENORM and add the adjustment to
# the src value. then, jump to the norm part of the routine.
sok_dnrm:
mov.l %d0,-(%sp) # save src for now
mov.w DST_EX(%a1),FP_SCR0_EX(%a6) # make a copy
mov.l DST_HI(%a1),FP_SCR0_HI(%a6)
mov.l DST_LO(%a1),FP_SCR0_LO(%a6)
lea FP_SCR0(%a6),%a0 # pass ptr to DENORM
bsr.l norm # normalize the DENORM
neg.l %d0
add.l (%sp)+,%d0 # add adjustment to src
fmovm.x FP_SCR0(%a6),&0x80 # load normalized DENORM
cmpi.w %d0,&-0x3fff # is the shft amt really low?
bge.b sok_norm2 # thank goodness no
# the multiply factor that we're trying to create should be a denorm
# for the multiply to work. Therefore, we're going to actually do a
# multiply with a denorm which will cause an unimplemented data type
# exception to be put into the machine which will be caught and corrected
# later. we don't do this with the DENORMs above because this method
# is slower. but, don't fret, I don't see it being used much either.
fmov.l (%sp)+,%fpcr # restore user fpcr
mov.l &0x80000000,%d1 # load normalized mantissa
subi.l &-0x3fff,%d0 # how many should we shift?
neg.l %d0 # make it positive
cmpi.b %d0,&0x20 # is it > 32?
bge.b sok_dnrm_32 # yes
lsr.l %d0,%d1 # no; bit stays in upper lw
clr.l -(%sp) # insert zero low mantissa
mov.l %d1,-(%sp) # insert new high mantissa
clr.l -(%sp) # make zero exponent
bra.b sok_norm_cont
sok_dnrm_32:
subi.b &0x20,%d0 # get shift count
lsr.l %d0,%d1 # make low mantissa longword
mov.l %d1,-(%sp) # insert new low mantissa
clr.l -(%sp) # insert zero high mantissa
clr.l -(%sp) # make zero exponent
bra.b sok_norm_cont
# the src will force the dst to a DENORM value or worse. so, let's
# create an fp multiply that will create the result.
sok_norm:
fmovm.x DST(%a1),&0x80 # load fp0 with normalized src
sok_norm2:
fmov.l (%sp)+,%fpcr # restore user fpcr
addi.w &0x3fff,%d0 # turn src amt into exp value
swap %d0 # put exponent in high word
clr.l -(%sp) # insert new exponent
mov.l &0x80000000,-(%sp) # insert new high mantissa
mov.l %d0,-(%sp) # insert new lo mantissa
sok_norm_cont:
fmov.l %fpcr,%d0 # d0 needs fpcr for t_catch2
mov.b &FMUL_OP,%d1 # last inst is MUL
fmul.x (%sp)+,%fp0 # do the multiply
bra t_catch2 # catch any exceptions
#
# Source is outside of 2^14 range. Test the sign and branch
# to the appropriate exception handler.
#
src_out:
mov.l (%sp)+,%d0 # restore ctrl bits
exg %a0,%a1 # swap src,dst ptrs
tst.b SRC_EX(%a1) # is src negative?
bmi t_unfl # yes; underflow
bra t_ovfl_sc # no; overflow
#
# The source input is below 1, so we check for denormalized numbers
# and set unfl.
#
src_small:
tst.b DST_HI(%a1) # is dst denormalized?
bpl.b ssmall_done # yes
mov.l (%sp)+,%d0
fmov.l %d0,%fpcr # no; load control bits
mov.b &FMOV_OP,%d1 # last inst is MOVE
fmov.x DST(%a1),%fp0 # simply return dest
bra t_catch2
ssmall_done:
mov.l (%sp)+,%d0 # load control bits into d1
mov.l %a1,%a0 # pass ptr to dst
bra t_resdnrm
#########################################################################
# smod(): computes the fp MOD of the input values X,Y. #
# srem(): computes the fp (IEEE) REM of the input values X,Y. #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision input X #
# a1 = pointer to extended precision input Y #
# d0 = round precision,mode #
# #
# The input operands X and Y can be either normalized or #
# denormalized. #
# #
# OUTPUT ************************************************************** #
# fp0 = FREM(X,Y) or FMOD(X,Y) #
# #
# ALGORITHM *********************************************************** #
# #
# Step 1. Save and strip signs of X and Y: signX := sign(X), #
# signY := sign(Y), X := |X|, Y := |Y|, #
# signQ := signX EOR signY. Record whether MOD or REM #
# is requested. #
# #
# Step 2. Set L := expo(X)-expo(Y), k := 0, Q := 0. #
# If (L < 0) then #
# R := X, go to Step 4. #
# else #
# R := 2^(-L)X, j := L. #
# endif #
# #
# Step 3. Perform MOD(X,Y) #
# 3.1 If R = Y, go to Step 9. #
# 3.2 If R > Y, then { R := R - Y, Q := Q + 1} #
# 3.3 If j = 0, go to Step 4. #
# 3.4 k := k + 1, j := j - 1, Q := 2Q, R := 2R. Go to #
# Step 3.1. #
# #
# Step 4. At this point, R = X - QY = MOD(X,Y). Set #
# Last_Subtract := false (used in Step 7 below). If #
# MOD is requested, go to Step 6. #
# #
# Step 5. R = MOD(X,Y), but REM(X,Y) is requested. #
# 5.1 If R < Y/2, then R = MOD(X,Y) = REM(X,Y). Go to #
# Step 6. #
# 5.2 If R > Y/2, then { set Last_Subtract := true, #
# Q := Q + 1, Y := signY*Y }. Go to Step 6. #
# 5.3 This is the tricky case of R = Y/2. If Q is odd, #
# then { Q := Q + 1, signX := -signX }. #
# #
# Step 6. R := signX*R. #
# #
# Step 7. If Last_Subtract = true, R := R - Y. #
# #
# Step 8. Return signQ, last 7 bits of Q, and R as required. #
# #
# Step 9. At this point, R = 2^(-j)*X - Q Y = Y. Thus, #
# X = 2^(j)*(Q+1)Y. set Q := 2^(j)*(Q+1), #
# R := 0. Return signQ, last 7 bits of Q, and R. #
# #
#########################################################################
set Mod_Flag,L_SCR3
set Sc_Flag,L_SCR3+1
set SignY,L_SCR2
set SignX,L_SCR2+2
set SignQ,L_SCR3+2
set Y,FP_SCR0
set Y_Hi,Y+4
set Y_Lo,Y+8
set R,FP_SCR1
set R_Hi,R+4
set R_Lo,R+8
Scale:
long 0x00010000,0x80000000,0x00000000,0x00000000
global smod
smod:
clr.b FPSR_QBYTE(%a6)
mov.l %d0,-(%sp) # save ctrl bits
clr.b Mod_Flag(%a6)
bra.b Mod_Rem
global srem
srem:
clr.b FPSR_QBYTE(%a6)
mov.l %d0,-(%sp) # save ctrl bits
mov.b &0x1,Mod_Flag(%a6)
Mod_Rem:
#..Save sign of X and Y
movm.l &0x3f00,-(%sp) # save data registers
mov.w SRC_EX(%a0),%d3
mov.w %d3,SignY(%a6)
and.l &0x00007FFF,%d3 # Y := |Y|
#
mov.l SRC_HI(%a0),%d4
mov.l SRC_LO(%a0),%d5 # (D3,D4,D5) is |Y|
tst.l %d3
bne.b Y_Normal
mov.l &0x00003FFE,%d3 # $3FFD + 1
tst.l %d4
bne.b HiY_not0
HiY_0:
mov.l %d5,%d4
clr.l %d5
sub.l &32,%d3
clr.l %d6
bfffo %d4{&0:&32},%d6
lsl.l %d6,%d4
sub.l %d6,%d3 # (D3,D4,D5) is normalized
# ...with bias $7FFD
bra.b Chk_X
HiY_not0:
clr.l %d6
bfffo %d4{&0:&32},%d6
sub.l %d6,%d3
lsl.l %d6,%d4
mov.l %d5,%d7 # a copy of D5
lsl.l %d6,%d5
neg.l %d6
add.l &32,%d6
lsr.l %d6,%d7
or.l %d7,%d4 # (D3,D4,D5) normalized
# ...with bias $7FFD
bra.b Chk_X
Y_Normal:
add.l &0x00003FFE,%d3 # (D3,D4,D5) normalized
# ...with bias $7FFD
Chk_X:
mov.w DST_EX(%a1),%d0
mov.w %d0,SignX(%a6)
mov.w SignY(%a6),%d1
eor.l %d0,%d1
and.l &0x00008000,%d1
mov.w %d1,SignQ(%a6) # sign(Q) obtained
and.l &0x00007FFF,%d0
mov.l DST_HI(%a1),%d1
mov.l DST_LO(%a1),%d2 # (D0,D1,D2) is |X|
tst.l %d0
bne.b X_Normal
mov.l &0x00003FFE,%d0
tst.l %d1
bne.b HiX_not0
HiX_0:
mov.l %d2,%d1
clr.l %d2
sub.l &32,%d0
clr.l %d6
bfffo %d1{&0:&32},%d6
lsl.l %d6,%d1
sub.l %d6,%d0 # (D0,D1,D2) is normalized
# ...with bias $7FFD
bra.b Init
HiX_not0:
clr.l %d6
bfffo %d1{&0:&32},%d6
sub.l %d6,%d0
lsl.l %d6,%d1
mov.l %d2,%d7 # a copy of D2
lsl.l %d6,%d2
neg.l %d6
add.l &32,%d6
lsr.l %d6,%d7
or.l %d7,%d1 # (D0,D1,D2) normalized
# ...with bias $7FFD
bra.b Init
X_Normal:
add.l &0x00003FFE,%d0 # (D0,D1,D2) normalized
# ...with bias $7FFD
Init:
#
mov.l %d3,L_SCR1(%a6) # save biased exp(Y)
mov.l %d0,-(%sp) # save biased exp(X)
sub.l %d3,%d0 # L := expo(X)-expo(Y)
clr.l %d6 # D6 := carry <- 0
clr.l %d3 # D3 is Q
mov.l &0,%a1 # A1 is k; j+k=L, Q=0
#..(Carry,D1,D2) is R
tst.l %d0
bge.b Mod_Loop_pre
#..expo(X) < expo(Y). Thus X = mod(X,Y)
#
mov.l (%sp)+,%d0 # restore d0
bra.w Get_Mod
Mod_Loop_pre:
addq.l &0x4,%sp # erase exp(X)
#..At this point R = 2^(-L)X; Q = 0; k = 0; and k+j = L
Mod_Loop:
tst.l %d6 # test carry bit
bgt.b R_GT_Y
#..At this point carry = 0, R = (D1,D2), Y = (D4,D5)
cmp.l %d1,%d4 # compare hi(R) and hi(Y)
bne.b R_NE_Y
cmp.l %d2,%d5 # compare lo(R) and lo(Y)
bne.b R_NE_Y
#..At this point, R = Y
bra.w Rem_is_0
R_NE_Y:
#..use the borrow of the previous compare
bcs.b R_LT_Y # borrow is set iff R < Y
R_GT_Y:
#..If Carry is set, then Y < (Carry,D1,D2) < 2Y. Otherwise, Carry = 0
#..and Y < (D1,D2) < 2Y. Either way, perform R - Y
sub.l %d5,%d2 # lo(R) - lo(Y)
subx.l %d4,%d1 # hi(R) - hi(Y)
clr.l %d6 # clear carry
addq.l &1,%d3 # Q := Q + 1
R_LT_Y:
#..At this point, Carry=0, R < Y. R = 2^(k-L)X - QY; k+j = L; j >= 0.
tst.l %d0 # see if j = 0.
beq.b PostLoop
add.l %d3,%d3 # Q := 2Q
add.l %d2,%d2 # lo(R) = 2lo(R)
roxl.l &1,%d1 # hi(R) = 2hi(R) + carry
scs %d6 # set Carry if 2(R) overflows
addq.l &1,%a1 # k := k+1
subq.l &1,%d0 # j := j - 1
#..At this point, R=(Carry,D1,D2) = 2^(k-L)X - QY, j+k=L, j >= 0, R < 2Y.
bra.b Mod_Loop
PostLoop:
#..k = L, j = 0, Carry = 0, R = (D1,D2) = X - QY, R < Y.
#..normalize R.
mov.l L_SCR1(%a6),%d0 # new biased expo of R
tst.l %d1
bne.b HiR_not0
HiR_0:
mov.l %d2,%d1
clr.l %d2
sub.l &32,%d0
clr.l %d6
bfffo %d1{&0:&32},%d6
lsl.l %d6,%d1
sub.l %d6,%d0 # (D0,D1,D2) is normalized
# ...with bias $7FFD
bra.b Get_Mod
HiR_not0:
clr.l %d6
bfffo %d1{&0:&32},%d6
bmi.b Get_Mod # already normalized
sub.l %d6,%d0
lsl.l %d6,%d1
mov.l %d2,%d7 # a copy of D2
lsl.l %d6,%d2
neg.l %d6
add.l &32,%d6
lsr.l %d6,%d7
or.l %d7,%d1 # (D0,D1,D2) normalized
#
Get_Mod:
cmp.l %d0,&0x000041FE
bge.b No_Scale
Do_Scale:
mov.w %d0,R(%a6)
mov.l %d1,R_Hi(%a6)
mov.l %d2,R_Lo(%a6)
mov.l L_SCR1(%a6),%d6
mov.w %d6,Y(%a6)
mov.l %d4,Y_Hi(%a6)
mov.l %d5,Y_Lo(%a6)
fmov.x R(%a6),%fp0 # no exception
mov.b &1,Sc_Flag(%a6)
bra.b ModOrRem
No_Scale:
mov.l %d1,R_Hi(%a6)
mov.l %d2,R_Lo(%a6)
sub.l &0x3FFE,%d0
mov.w %d0,R(%a6)
mov.l L_SCR1(%a6),%d6
sub.l &0x3FFE,%d6
mov.l %d6,L_SCR1(%a6)
fmov.x R(%a6),%fp0
mov.w %d6,Y(%a6)
mov.l %d4,Y_Hi(%a6)
mov.l %d5,Y_Lo(%a6)
clr.b Sc_Flag(%a6)
#
ModOrRem:
tst.b Mod_Flag(%a6)
beq.b Fix_Sign
mov.l L_SCR1(%a6),%d6 # new biased expo(Y)
subq.l &1,%d6 # biased expo(Y/2)
cmp.l %d0,%d6
blt.b Fix_Sign
bgt.b Last_Sub
cmp.l %d1,%d4
bne.b Not_EQ
cmp.l %d2,%d5
bne.b Not_EQ
bra.w Tie_Case
Not_EQ:
bcs.b Fix_Sign
Last_Sub:
#
fsub.x Y(%a6),%fp0 # no exceptions
addq.l &1,%d3 # Q := Q + 1
#
Fix_Sign:
#..Get sign of X
mov.w SignX(%a6),%d6
bge.b Get_Q
fneg.x %fp0
#..Get Q
#
Get_Q:
clr.l %d6
mov.w SignQ(%a6),%d6 # D6 is sign(Q)
mov.l &8,%d7
lsr.l %d7,%d6
and.l &0x0000007F,%d3 # 7 bits of Q
or.l %d6,%d3 # sign and bits of Q
# swap %d3
# fmov.l %fpsr,%d6
# and.l &0xFF00FFFF,%d6
# or.l %d3,%d6
# fmov.l %d6,%fpsr # put Q in fpsr
mov.b %d3,FPSR_QBYTE(%a6) # put Q in fpsr
#
Restore:
movm.l (%sp)+,&0xfc # {%d2-%d7}
mov.l (%sp)+,%d0
fmov.l %d0,%fpcr
tst.b Sc_Flag(%a6)
beq.b Finish
mov.b &FMUL_OP,%d1 # last inst is MUL
fmul.x Scale(%pc),%fp0 # may cause underflow
bra t_catch2
# the '040 package did this apparently to see if the dst operand for the
# preceding fmul was a denorm. but, it better not have been since the
# algorithm just got done playing with fp0 and expected no exceptions
# as a result. trust me...
# bra t_avoid_unsupp # check for denorm as a
# ;result of the scaling
Finish:
mov.b &FMOV_OP,%d1 # last inst is MOVE
fmov.x %fp0,%fp0 # capture exceptions & round
bra t_catch2
Rem_is_0:
#..R = 2^(-j)X - Q Y = Y, thus R = 0 and quotient = 2^j (Q+1)
addq.l &1,%d3
cmp.l %d0,&8 # D0 is j
bge.b Q_Big
lsl.l %d0,%d3
bra.b Set_R_0
Q_Big:
clr.l %d3
Set_R_0:
fmov.s &0x00000000,%fp0
clr.b Sc_Flag(%a6)
bra.w Fix_Sign
Tie_Case:
#..Check parity of Q
mov.l %d3,%d6
and.l &0x00000001,%d6
tst.l %d6
beq.w Fix_Sign # Q is even
#..Q is odd, Q := Q + 1, signX := -signX
addq.l &1,%d3
mov.w SignX(%a6),%d6
eor.l &0x00008000,%d6
mov.w %d6,SignX(%a6)
bra.w Fix_Sign
qnan: long 0x7fff0000, 0xffffffff, 0xffffffff
#########################################################################
# XDEF **************************************************************** #
# t_dz(): Handle DZ exception during transcendental emulation. #
# Sets N bit according to sign of source operand. #
# t_dz2(): Handle DZ exception during transcendental emulation. #
# Sets N bit always. #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# a0 = pointer to source operand #
# #
# OUTPUT ************************************************************** #
# fp0 = default result #
# #
# ALGORITHM *********************************************************** #
# - Store properly signed INF into fp0. #
# - Set FPSR exception status dz bit, ccode inf bit, and #
# accrued dz bit. #
# #
#########################################################################
global t_dz
t_dz:
tst.b SRC_EX(%a0) # no; is src negative?
bmi.b t_dz2 # yes
dz_pinf:
fmov.s &0x7f800000,%fp0 # return +INF in fp0
ori.l &dzinf_mask,USER_FPSR(%a6) # set I/DZ/ADZ
rts
global t_dz2
t_dz2:
fmov.s &0xff800000,%fp0 # return -INF in fp0
ori.l &dzinf_mask+neg_mask,USER_FPSR(%a6) # set N/I/DZ/ADZ
rts
#################################################################
# OPERR exception: #
# - set FPSR exception status operr bit, condition code #
# nan bit; Store default NAN into fp0 #
#################################################################
global t_operr
t_operr:
ori.l &opnan_mask,USER_FPSR(%a6) # set NaN/OPERR/AIOP
fmovm.x qnan(%pc),&0x80 # return default NAN in fp0
rts
#################################################################
# Extended DENORM: #
# - For all functions that have a denormalized input and #
# that f(x)=x, this is the entry point. #
# - we only return the EXOP here if either underflow or #
# inexact is enabled. #
#################################################################
# Entry point for scale w/ extended denorm. The function does
# NOT set INEX2/AUNFL/AINEX.
global t_resdnrm
t_resdnrm:
ori.l &unfl_mask,USER_FPSR(%a6) # set UNFL
bra.b xdnrm_con
global t_extdnrm
t_extdnrm:
ori.l &unfinx_mask,USER_FPSR(%a6) # set UNFL/INEX2/AUNFL/AINEX
xdnrm_con:
mov.l %a0,%a1 # make copy of src ptr
mov.l %d0,%d1 # make copy of rnd prec,mode
andi.b &0xc0,%d1 # extended precision?
bne.b xdnrm_sd # no
# result precision is extended.
tst.b LOCAL_EX(%a0) # is denorm negative?
bpl.b xdnrm_exit # no
bset &neg_bit,FPSR_CC(%a6) # yes; set 'N' ccode bit
bra.b xdnrm_exit
# result precision is single or double
xdnrm_sd:
mov.l %a1,-(%sp)
tst.b LOCAL_EX(%a0) # is denorm pos or neg?
smi.b %d1 # set d0 accordingly
bsr.l unf_sub
mov.l (%sp)+,%a1
xdnrm_exit:
fmovm.x (%a0),&0x80 # return default result in fp0
mov.b FPCR_ENABLE(%a6),%d0
andi.b &0x0a,%d0 # is UNFL or INEX enabled?
bne.b xdnrm_ena # yes
rts
################
# unfl enabled #
################
# we have a DENORM that needs to be converted into an EXOP.
# so, normalize the mantissa, add 0x6000 to the new exponent,
# and return the result in fp1.
xdnrm_ena:
mov.w LOCAL_EX(%a1),FP_SCR0_EX(%a6)
mov.l LOCAL_HI(%a1),FP_SCR0_HI(%a6)
mov.l LOCAL_LO(%a1),FP_SCR0_LO(%a6)
lea FP_SCR0(%a6),%a0
bsr.l norm # normalize mantissa
addi.l &0x6000,%d0 # add extra bias
andi.w &0x8000,FP_SCR0_EX(%a6) # keep old sign
or.w %d0,FP_SCR0_EX(%a6) # insert new exponent
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
rts
#################################################################
# UNFL exception: #
# - This routine is for cases where even an EXOP isn't #
# large enough to hold the range of this result. #
# In such a case, the EXOP equals zero. #
# - Return the default result to the proper precision #
# with the sign of this result being the same as that #
# of the src operand. #
# - t_unfl2() is provided to force the result sign to #
# positive which is the desired result for fetox(). #
#################################################################
global t_unfl
t_unfl:
ori.l &unfinx_mask,USER_FPSR(%a6) # set UNFL/INEX2/AUNFL/AINEX
tst.b (%a0) # is result pos or neg?
smi.b %d1 # set d1 accordingly
bsr.l unf_sub # calc default unfl result
fmovm.x (%a0),&0x80 # return default result in fp0
fmov.s &0x00000000,%fp1 # return EXOP in fp1
rts
# t_unfl2 ALWAYS tells unf_sub to create a positive result
global t_unfl2
t_unfl2:
ori.l &unfinx_mask,USER_FPSR(%a6) # set UNFL/INEX2/AUNFL/AINEX
sf.b %d1 # set d0 to represent positive
bsr.l unf_sub # calc default unfl result
fmovm.x (%a0),&0x80 # return default result in fp0
fmov.s &0x0000000,%fp1 # return EXOP in fp1
rts
#################################################################
# OVFL exception: #
# - This routine is for cases where even an EXOP isn't #
# large enough to hold the range of this result. #
# - Return the default result to the proper precision #
# with the sign of this result being the same as that #
# of the src operand. #
# - t_ovfl2() is provided to force the result sign to #
# positive which is the desired result for fcosh(). #
# - t_ovfl_sc() is provided for scale() which only sets #
# the inexact bits if the number is inexact for the #
# precision indicated. #
#################################################################
global t_ovfl_sc
t_ovfl_sc:
ori.l &ovfl_inx_mask,USER_FPSR(%a6) # set OVFL/AOVFL/AINEX
mov.b %d0,%d1 # fetch rnd mode/prec
andi.b &0xc0,%d1 # extract rnd prec
beq.b ovfl_work # prec is extended
tst.b LOCAL_HI(%a0) # is dst a DENORM?
bmi.b ovfl_sc_norm # no
# dst op is a DENORM. we have to normalize the mantissa to see if the
# result would be inexact for the given precision. make a copy of the
# dst so we don't screw up the version passed to us.
mov.w LOCAL_EX(%a0),FP_SCR0_EX(%a6)
mov.l LOCAL_HI(%a0),FP_SCR0_HI(%a6)
mov.l LOCAL_LO(%a0),FP_SCR0_LO(%a6)
lea FP_SCR0(%a6),%a0 # pass ptr to FP_SCR0
movm.l &0xc080,-(%sp) # save d0-d1/a0
bsr.l norm # normalize mantissa
movm.l (%sp)+,&0x0103 # restore d0-d1/a0
ovfl_sc_norm:
cmpi.b %d1,&0x40 # is prec dbl?
bne.b ovfl_sc_dbl # no; sgl
ovfl_sc_sgl:
tst.l LOCAL_LO(%a0) # is lo lw of sgl set?
bne.b ovfl_sc_inx # yes
tst.b 3+LOCAL_HI(%a0) # is lo byte of hi lw set?
bne.b ovfl_sc_inx # yes
bra.b ovfl_work # don't set INEX2
ovfl_sc_dbl:
mov.l LOCAL_LO(%a0),%d1 # are any of lo 11 bits of
andi.l &0x7ff,%d1 # dbl mantissa set?
beq.b ovfl_work # no; don't set INEX2
ovfl_sc_inx:
ori.l &inex2_mask,USER_FPSR(%a6) # set INEX2
bra.b ovfl_work # continue
global t_ovfl
t_ovfl:
ori.l &ovfinx_mask,USER_FPSR(%a6) # set OVFL/INEX2/AOVFL/AINEX
ovfl_work:
tst.b LOCAL_EX(%a0) # what is the sign?
smi.b %d1 # set d1 accordingly
bsr.l ovf_res # calc default ovfl result
mov.b %d0,FPSR_CC(%a6) # insert new ccodes
fmovm.x (%a0),&0x80 # return default result in fp0
fmov.s &0x00000000,%fp1 # return EXOP in fp1
rts
# t_ovfl2 ALWAYS tells ovf_res to create a positive result
global t_ovfl2
t_ovfl2:
ori.l &ovfinx_mask,USER_FPSR(%a6) # set OVFL/INEX2/AOVFL/AINEX
sf.b %d1 # clear sign flag for positive
bsr.l ovf_res # calc default ovfl result
mov.b %d0,FPSR_CC(%a6) # insert new ccodes
fmovm.x (%a0),&0x80 # return default result in fp0
fmov.s &0x00000000,%fp1 # return EXOP in fp1
rts
#################################################################
# t_catch(): #
# - the last operation of a transcendental emulation #
# routine may have caused an underflow or overflow. #
# we find out if this occurred by doing an fsave and #
# checking the exception bit. if one did occur, then we #
# jump to fgen_except() which creates the default #
# result and EXOP for us. #
#################################################################
global t_catch
t_catch:
fsave -(%sp)
tst.b 0x2(%sp)
bmi.b catch
add.l &0xc,%sp
#################################################################
# INEX2 exception: #
# - The inex2 and ainex bits are set. #
#################################################################
global t_inx2
t_inx2:
fblt.w t_minx2
fbeq.w inx2_zero
global t_pinx2
t_pinx2:
ori.w &inx2a_mask,2+USER_FPSR(%a6) # set INEX2/AINEX
rts
global t_minx2
t_minx2:
ori.l &inx2a_mask+neg_mask,USER_FPSR(%a6) # set N/INEX2/AINEX
rts
inx2_zero:
mov.b &z_bmask,FPSR_CC(%a6)
ori.w &inx2a_mask,2+USER_FPSR(%a6) # set INEX2/AINEX
rts
# an underflow or overflow exception occurred.
# we must set INEX/AINEX since the fmul/fdiv/fmov emulation may not!
catch:
ori.w &inx2a_mask,FPSR_EXCEPT(%a6)
catch2:
bsr.l fgen_except
add.l &0xc,%sp
rts
global t_catch2
t_catch2:
fsave -(%sp)
tst.b 0x2(%sp)
bmi.b catch2
add.l &0xc,%sp
fmov.l %fpsr,%d0
or.l %d0,USER_FPSR(%a6)
rts
#########################################################################
#########################################################################
# unf_res(): underflow default result calculation for transcendentals #
# #
# INPUT: #
# d0 : rnd mode,precision #
# d1.b : sign bit of result ('11111111 = (-) ; '00000000 = (+)) #
# OUTPUT: #
# a0 : points to result (in instruction memory) #
#########################################################################
unf_sub:
ori.l &unfinx_mask,USER_FPSR(%a6)
andi.w &0x10,%d1 # keep sign bit in 4th spot
lsr.b &0x4,%d0 # shift rnd prec,mode to lo bits
andi.b &0xf,%d0 # strip hi rnd mode bit
or.b %d1,%d0 # concat {sgn,mode,prec}
mov.l %d0,%d1 # make a copy
lsl.b &0x1,%d1 # mult index 2 by 2
mov.b (tbl_unf_cc.b,%pc,%d0.w*1),FPSR_CC(%a6) # insert ccode bits
lea (tbl_unf_result.b,%pc,%d1.w*8),%a0 # grab result ptr
rts
tbl_unf_cc:
byte 0x4, 0x4, 0x4, 0x0
byte 0x4, 0x4, 0x4, 0x0
byte 0x4, 0x4, 0x4, 0x0
byte 0x0, 0x0, 0x0, 0x0
byte 0x8+0x4, 0x8+0x4, 0x8, 0x8+0x4
byte 0x8+0x4, 0x8+0x4, 0x8, 0x8+0x4
byte 0x8+0x4, 0x8+0x4, 0x8, 0x8+0x4
tbl_unf_result:
long 0x00000000, 0x00000000, 0x00000000, 0x0 # ZERO;ext
long 0x00000000, 0x00000000, 0x00000000, 0x0 # ZERO;ext
long 0x00000000, 0x00000000, 0x00000000, 0x0 # ZERO;ext
long 0x00000000, 0x00000000, 0x00000001, 0x0 # MIN; ext
long 0x3f810000, 0x00000000, 0x00000000, 0x0 # ZERO;sgl
long 0x3f810000, 0x00000000, 0x00000000, 0x0 # ZERO;sgl
long 0x3f810000, 0x00000000, 0x00000000, 0x0 # ZERO;sgl
long 0x3f810000, 0x00000100, 0x00000000, 0x0 # MIN; sgl
long 0x3c010000, 0x00000000, 0x00000000, 0x0 # ZERO;dbl
long 0x3c010000, 0x00000000, 0x00000000, 0x0 # ZER0;dbl
long 0x3c010000, 0x00000000, 0x00000000, 0x0 # ZERO;dbl
long 0x3c010000, 0x00000000, 0x00000800, 0x0 # MIN; dbl
long 0x0,0x0,0x0,0x0
long 0x0,0x0,0x0,0x0
long 0x0,0x0,0x0,0x0
long 0x0,0x0,0x0,0x0
long 0x80000000, 0x00000000, 0x00000000, 0x0 # ZERO;ext
long 0x80000000, 0x00000000, 0x00000000, 0x0 # ZERO;ext
long 0x80000000, 0x00000000, 0x00000001, 0x0 # MIN; ext
long 0x80000000, 0x00000000, 0x00000000, 0x0 # ZERO;ext
long 0xbf810000, 0x00000000, 0x00000000, 0x0 # ZERO;sgl
long 0xbf810000, 0x00000000, 0x00000000, 0x0 # ZERO;sgl
long 0xbf810000, 0x00000100, 0x00000000, 0x0 # MIN; sgl
long 0xbf810000, 0x00000000, 0x00000000, 0x0 # ZERO;sgl
long 0xbc010000, 0x00000000, 0x00000000, 0x0 # ZERO;dbl
long 0xbc010000, 0x00000000, 0x00000000, 0x0 # ZERO;dbl
long 0xbc010000, 0x00000000, 0x00000800, 0x0 # MIN; dbl
long 0xbc010000, 0x00000000, 0x00000000, 0x0 # ZERO;dbl
############################################################
#########################################################################
# src_zero(): Return signed zero according to sign of src operand. #
#########################################################################
global src_zero
src_zero:
tst.b SRC_EX(%a0) # get sign of src operand
bmi.b ld_mzero # if neg, load neg zero
#
# ld_pzero(): return a positive zero.
#
global ld_pzero
ld_pzero:
fmov.s &0x00000000,%fp0 # load +0
mov.b &z_bmask,FPSR_CC(%a6) # set 'Z' ccode bit
rts
# ld_mzero(): return a negative zero.
global ld_mzero
ld_mzero:
fmov.s &0x80000000,%fp0 # load -0
mov.b &neg_bmask+z_bmask,FPSR_CC(%a6) # set 'N','Z' ccode bits
rts
#########################################################################
# dst_zero(): Return signed zero according to sign of dst operand. #
#########################################################################
global dst_zero
dst_zero:
tst.b DST_EX(%a1) # get sign of dst operand
bmi.b ld_mzero # if neg, load neg zero
bra.b ld_pzero # load positive zero
#########################################################################
# src_inf(): Return signed inf according to sign of src operand. #
#########################################################################
global src_inf
src_inf:
tst.b SRC_EX(%a0) # get sign of src operand
bmi.b ld_minf # if negative branch
#
# ld_pinf(): return a positive infinity.
#
global ld_pinf
ld_pinf:
fmov.s &0x7f800000,%fp0 # load +INF
mov.b &inf_bmask,FPSR_CC(%a6) # set 'INF' ccode bit
rts
#
# ld_minf():return a negative infinity.
#
global ld_minf
ld_minf:
fmov.s &0xff800000,%fp0 # load -INF
mov.b &neg_bmask+inf_bmask,FPSR_CC(%a6) # set 'N','I' ccode bits
rts
#########################################################################
# dst_inf(): Return signed inf according to sign of dst operand. #
#########################################################################
global dst_inf
dst_inf:
tst.b DST_EX(%a1) # get sign of dst operand
bmi.b ld_minf # if negative branch
bra.b ld_pinf
global szr_inf
#################################################################
# szr_inf(): Return +ZERO for a negative src operand or #
# +INF for a positive src operand. #
# Routine used for fetox, ftwotox, and ftentox. #
#################################################################
szr_inf:
tst.b SRC_EX(%a0) # check sign of source
bmi.b ld_pzero
bra.b ld_pinf
#########################################################################
# sopr_inf(): Return +INF for a positive src operand or #
# jump to operand error routine for a negative src operand. #
# Routine used for flogn, flognp1, flog10, and flog2. #
#########################################################################
global sopr_inf
sopr_inf:
tst.b SRC_EX(%a0) # check sign of source
bmi.w t_operr
bra.b ld_pinf
#################################################################
# setoxm1i(): Return minus one for a negative src operand or #
# positive infinity for a positive src operand. #
# Routine used for fetoxm1. #
#################################################################
global setoxm1i
setoxm1i:
tst.b SRC_EX(%a0) # check sign of source
bmi.b ld_mone
bra.b ld_pinf
#########################################################################
# src_one(): Return signed one according to sign of src operand. #
#########################################################################
global src_one
src_one:
tst.b SRC_EX(%a0) # check sign of source
bmi.b ld_mone
#
# ld_pone(): return positive one.
#
global ld_pone
ld_pone:
fmov.s &0x3f800000,%fp0 # load +1
clr.b FPSR_CC(%a6)
rts
#
# ld_mone(): return negative one.
#
global ld_mone
ld_mone:
fmov.s &0xbf800000,%fp0 # load -1
mov.b &neg_bmask,FPSR_CC(%a6) # set 'N' ccode bit
rts
ppiby2: long 0x3fff0000, 0xc90fdaa2, 0x2168c235
mpiby2: long 0xbfff0000, 0xc90fdaa2, 0x2168c235
#################################################################
# spi_2(): Return signed PI/2 according to sign of src operand. #
#################################################################
global spi_2
spi_2:
tst.b SRC_EX(%a0) # check sign of source
bmi.b ld_mpi2
#
# ld_ppi2(): return positive PI/2.
#
global ld_ppi2
ld_ppi2:
fmov.l %d0,%fpcr
fmov.x ppiby2(%pc),%fp0 # load +pi/2
bra.w t_pinx2 # set INEX2
#
# ld_mpi2(): return negative PI/2.
#
global ld_mpi2
ld_mpi2:
fmov.l %d0,%fpcr
fmov.x mpiby2(%pc),%fp0 # load -pi/2
bra.w t_minx2 # set INEX2
####################################################
# The following routines give support for fsincos. #
####################################################
#
# ssincosz(): When the src operand is ZERO, store a one in the
# cosine register and return a ZERO in fp0 w/ the same sign
# as the src operand.
#
global ssincosz
ssincosz:
fmov.s &0x3f800000,%fp1
tst.b SRC_EX(%a0) # test sign
bpl.b sincoszp
fmov.s &0x80000000,%fp0 # return sin result in fp0
mov.b &z_bmask+neg_bmask,FPSR_CC(%a6)
bra.b sto_cos # store cosine result
sincoszp:
fmov.s &0x00000000,%fp0 # return sin result in fp0
mov.b &z_bmask,FPSR_CC(%a6)
bra.b sto_cos # store cosine result
#
# ssincosi(): When the src operand is INF, store a QNAN in the cosine
# register and jump to the operand error routine for negative
# src operands.
#
global ssincosi
ssincosi:
fmov.x qnan(%pc),%fp1 # load NAN
bsr.l sto_cos # store cosine result
bra.w t_operr
#
# ssincosqnan(): When the src operand is a QNAN, store the QNAN in the cosine
# register and branch to the src QNAN routine.
#
global ssincosqnan
ssincosqnan:
fmov.x LOCAL_EX(%a0),%fp1
bsr.l sto_cos
bra.w src_qnan
#
# ssincossnan(): When the src operand is an SNAN, store the SNAN w/ the SNAN bit set
# in the cosine register and branch to the src SNAN routine.
#
global ssincossnan
ssincossnan:
fmov.x LOCAL_EX(%a0),%fp1
bsr.l sto_cos
bra.w src_snan
########################################################################
#########################################################################
# sto_cos(): store fp1 to the fpreg designated by the CMDREG dst field. #
# fp1 holds the result of the cosine portion of ssincos(). #
# the value in fp1 will not take any exceptions when moved. #
# INPUT: #
# fp1 : fp value to store #
# MODIFIED: #
# d0 #
#########################################################################
global sto_cos
sto_cos:
mov.b 1+EXC_CMDREG(%a6),%d0
andi.w &0x7,%d0
mov.w (tbl_sto_cos.b,%pc,%d0.w*2),%d0
jmp (tbl_sto_cos.b,%pc,%d0.w*1)
tbl_sto_cos:
short sto_cos_0 - tbl_sto_cos
short sto_cos_1 - tbl_sto_cos
short sto_cos_2 - tbl_sto_cos
short sto_cos_3 - tbl_sto_cos
short sto_cos_4 - tbl_sto_cos
short sto_cos_5 - tbl_sto_cos
short sto_cos_6 - tbl_sto_cos
short sto_cos_7 - tbl_sto_cos
sto_cos_0:
fmovm.x &0x40,EXC_FP0(%a6)
rts
sto_cos_1:
fmovm.x &0x40,EXC_FP1(%a6)
rts
sto_cos_2:
fmov.x %fp1,%fp2
rts
sto_cos_3:
fmov.x %fp1,%fp3
rts
sto_cos_4:
fmov.x %fp1,%fp4
rts
sto_cos_5:
fmov.x %fp1,%fp5
rts
sto_cos_6:
fmov.x %fp1,%fp6
rts
sto_cos_7:
fmov.x %fp1,%fp7
rts
##################################################################
global smod_sdnrm
global smod_snorm
smod_sdnrm:
smod_snorm:
mov.b DTAG(%a6),%d1
beq.l smod
cmpi.b %d1,&ZERO
beq.w smod_zro
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l smod
cmpi.b %d1,&SNAN
beq.l dst_snan
bra.l dst_qnan
global smod_szero
smod_szero:
mov.b DTAG(%a6),%d1
beq.l t_operr
cmpi.b %d1,&ZERO
beq.l t_operr
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l t_operr
cmpi.b %d1,&QNAN
beq.l dst_qnan
bra.l dst_snan
global smod_sinf
smod_sinf:
mov.b DTAG(%a6),%d1
beq.l smod_fpn
cmpi.b %d1,&ZERO
beq.l smod_zro
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l smod_fpn
cmpi.b %d1,&QNAN
beq.l dst_qnan
bra.l dst_snan
smod_zro:
srem_zro:
mov.b SRC_EX(%a0),%d1 # get src sign
mov.b DST_EX(%a1),%d0 # get dst sign
eor.b %d0,%d1 # get qbyte sign
andi.b &0x80,%d1
mov.b %d1,FPSR_QBYTE(%a6)
tst.b %d0
bpl.w ld_pzero
bra.w ld_mzero
smod_fpn:
srem_fpn:
clr.b FPSR_QBYTE(%a6)
mov.l %d0,-(%sp)
mov.b SRC_EX(%a0),%d1 # get src sign
mov.b DST_EX(%a1),%d0 # get dst sign
eor.b %d0,%d1 # get qbyte sign
andi.b &0x80,%d1
mov.b %d1,FPSR_QBYTE(%a6)
cmpi.b DTAG(%a6),&DENORM
bne.b smod_nrm
lea DST(%a1),%a0
mov.l (%sp)+,%d0
bra t_resdnrm
smod_nrm:
fmov.l (%sp)+,%fpcr
fmov.x DST(%a1),%fp0
tst.b DST_EX(%a1)
bmi.b smod_nrm_neg
rts
smod_nrm_neg:
mov.b &neg_bmask,FPSR_CC(%a6) # set 'N' ccode
rts
#########################################################################
global srem_snorm
global srem_sdnrm
srem_sdnrm:
srem_snorm:
mov.b DTAG(%a6),%d1
beq.l srem
cmpi.b %d1,&ZERO
beq.w srem_zro
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l srem
cmpi.b %d1,&QNAN
beq.l dst_qnan
bra.l dst_snan
global srem_szero
srem_szero:
mov.b DTAG(%a6),%d1
beq.l t_operr
cmpi.b %d1,&ZERO
beq.l t_operr
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l t_operr
cmpi.b %d1,&QNAN
beq.l dst_qnan
bra.l dst_snan
global srem_sinf
srem_sinf:
mov.b DTAG(%a6),%d1
beq.w srem_fpn
cmpi.b %d1,&ZERO
beq.w srem_zro
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l srem_fpn
cmpi.b %d1,&QNAN
beq.l dst_qnan
bra.l dst_snan
#########################################################################
global sscale_snorm
global sscale_sdnrm
sscale_snorm:
sscale_sdnrm:
mov.b DTAG(%a6),%d1
beq.l sscale
cmpi.b %d1,&ZERO
beq.l dst_zero
cmpi.b %d1,&INF
beq.l dst_inf
cmpi.b %d1,&DENORM
beq.l sscale
cmpi.b %d1,&QNAN
beq.l dst_qnan
bra.l dst_snan
global sscale_szero
sscale_szero:
mov.b DTAG(%a6),%d1
beq.l sscale
cmpi.b %d1,&ZERO
beq.l dst_zero
cmpi.b %d1,&INF
beq.l dst_inf
cmpi.b %d1,&DENORM
beq.l sscale
cmpi.b %d1,&QNAN
beq.l dst_qnan
bra.l dst_snan
global sscale_sinf
sscale_sinf:
mov.b DTAG(%a6),%d1
beq.l t_operr
cmpi.b %d1,&QNAN
beq.l dst_qnan
cmpi.b %d1,&SNAN
beq.l dst_snan
bra.l t_operr
########################################################################
#
# sop_sqnan(): The src op for frem/fmod/fscale was a QNAN.
#
global sop_sqnan
sop_sqnan:
mov.b DTAG(%a6),%d1
cmpi.b %d1,&QNAN
beq.b dst_qnan
cmpi.b %d1,&SNAN
beq.b dst_snan
bra.b src_qnan
#
# sop_ssnan(): The src op for frem/fmod/fscale was an SNAN.
#
global sop_ssnan
sop_ssnan:
mov.b DTAG(%a6),%d1
cmpi.b %d1,&QNAN
beq.b dst_qnan_src_snan
cmpi.b %d1,&SNAN
beq.b dst_snan
bra.b src_snan
dst_qnan_src_snan:
ori.l &snaniop_mask,USER_FPSR(%a6) # set NAN/SNAN/AIOP
bra.b dst_qnan
#
# dst_qnan(): Return the dst SNAN w/ the SNAN bit set.
#
global dst_snan
dst_snan:
fmov.x DST(%a1),%fp0 # the fmove sets the SNAN bit
fmov.l %fpsr,%d0 # catch resulting status
or.l %d0,USER_FPSR(%a6) # store status
rts
#
# dst_qnan(): Return the dst QNAN.
#
global dst_qnan
dst_qnan:
fmov.x DST(%a1),%fp0 # return the non-signalling nan
tst.b DST_EX(%a1) # set ccodes according to QNAN sign
bmi.b dst_qnan_m
dst_qnan_p:
mov.b &nan_bmask,FPSR_CC(%a6)
rts
dst_qnan_m:
mov.b &neg_bmask+nan_bmask,FPSR_CC(%a6)
rts
#
# src_snan(): Return the src SNAN w/ the SNAN bit set.
#
global src_snan
src_snan:
fmov.x SRC(%a0),%fp0 # the fmove sets the SNAN bit
fmov.l %fpsr,%d0 # catch resulting status
or.l %d0,USER_FPSR(%a6) # store status
rts
#
# src_qnan(): Return the src QNAN.
#
global src_qnan
src_qnan:
fmov.x SRC(%a0),%fp0 # return the non-signalling nan
tst.b SRC_EX(%a0) # set ccodes according to QNAN sign
bmi.b dst_qnan_m
src_qnan_p:
mov.b &nan_bmask,FPSR_CC(%a6)
rts
src_qnan_m:
mov.b &neg_bmask+nan_bmask,FPSR_CC(%a6)
rts
#
# fkern2.s:
# These entry points are used by the exception handler
# routines where an instruction is selected by an index into
# a large jump table corresponding to a given instruction which
# has been decoded. Flow continues here where we now decode
# further according to the source operand type.
#
global fsinh
fsinh:
mov.b STAG(%a6),%d1
beq.l ssinh
cmpi.b %d1,&ZERO
beq.l src_zero
cmpi.b %d1,&INF
beq.l src_inf
cmpi.b %d1,&DENORM
beq.l ssinhd
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global flognp1
flognp1:
mov.b STAG(%a6),%d1
beq.l slognp1
cmpi.b %d1,&ZERO
beq.l src_zero
cmpi.b %d1,&INF
beq.l sopr_inf
cmpi.b %d1,&DENORM
beq.l slognp1d
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global fetoxm1
fetoxm1:
mov.b STAG(%a6),%d1
beq.l setoxm1
cmpi.b %d1,&ZERO
beq.l src_zero
cmpi.b %d1,&INF
beq.l setoxm1i
cmpi.b %d1,&DENORM
beq.l setoxm1d
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global ftanh
ftanh:
mov.b STAG(%a6),%d1
beq.l stanh
cmpi.b %d1,&ZERO
beq.l src_zero
cmpi.b %d1,&INF
beq.l src_one
cmpi.b %d1,&DENORM
beq.l stanhd
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global fatan
fatan:
mov.b STAG(%a6),%d1
beq.l satan
cmpi.b %d1,&ZERO
beq.l src_zero
cmpi.b %d1,&INF
beq.l spi_2
cmpi.b %d1,&DENORM
beq.l satand
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global fasin
fasin:
mov.b STAG(%a6),%d1
beq.l sasin
cmpi.b %d1,&ZERO
beq.l src_zero
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l sasind
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global fatanh
fatanh:
mov.b STAG(%a6),%d1
beq.l satanh
cmpi.b %d1,&ZERO
beq.l src_zero
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l satanhd
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global fsine
fsine:
mov.b STAG(%a6),%d1
beq.l ssin
cmpi.b %d1,&ZERO
beq.l src_zero
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l ssind
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global ftan
ftan:
mov.b STAG(%a6),%d1
beq.l stan
cmpi.b %d1,&ZERO
beq.l src_zero
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l stand
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global fetox
fetox:
mov.b STAG(%a6),%d1
beq.l setox
cmpi.b %d1,&ZERO
beq.l ld_pone
cmpi.b %d1,&INF
beq.l szr_inf
cmpi.b %d1,&DENORM
beq.l setoxd
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global ftwotox
ftwotox:
mov.b STAG(%a6),%d1
beq.l stwotox
cmpi.b %d1,&ZERO
beq.l ld_pone
cmpi.b %d1,&INF
beq.l szr_inf
cmpi.b %d1,&DENORM
beq.l stwotoxd
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global ftentox
ftentox:
mov.b STAG(%a6),%d1
beq.l stentox
cmpi.b %d1,&ZERO
beq.l ld_pone
cmpi.b %d1,&INF
beq.l szr_inf
cmpi.b %d1,&DENORM
beq.l stentoxd
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global flogn
flogn:
mov.b STAG(%a6),%d1
beq.l slogn
cmpi.b %d1,&ZERO
beq.l t_dz2
cmpi.b %d1,&INF
beq.l sopr_inf
cmpi.b %d1,&DENORM
beq.l slognd
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global flog10
flog10:
mov.b STAG(%a6),%d1
beq.l slog10
cmpi.b %d1,&ZERO
beq.l t_dz2
cmpi.b %d1,&INF
beq.l sopr_inf
cmpi.b %d1,&DENORM
beq.l slog10d
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global flog2
flog2:
mov.b STAG(%a6),%d1
beq.l slog2
cmpi.b %d1,&ZERO
beq.l t_dz2
cmpi.b %d1,&INF
beq.l sopr_inf
cmpi.b %d1,&DENORM
beq.l slog2d
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global fcosh
fcosh:
mov.b STAG(%a6),%d1
beq.l scosh
cmpi.b %d1,&ZERO
beq.l ld_pone
cmpi.b %d1,&INF
beq.l ld_pinf
cmpi.b %d1,&DENORM
beq.l scoshd
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global facos
facos:
mov.b STAG(%a6),%d1
beq.l sacos
cmpi.b %d1,&ZERO
beq.l ld_ppi2
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l sacosd
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global fcos
fcos:
mov.b STAG(%a6),%d1
beq.l scos
cmpi.b %d1,&ZERO
beq.l ld_pone
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l scosd
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global fgetexp
fgetexp:
mov.b STAG(%a6),%d1
beq.l sgetexp
cmpi.b %d1,&ZERO
beq.l src_zero
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l sgetexpd
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global fgetman
fgetman:
mov.b STAG(%a6),%d1
beq.l sgetman
cmpi.b %d1,&ZERO
beq.l src_zero
cmpi.b %d1,&INF
beq.l t_operr
cmpi.b %d1,&DENORM
beq.l sgetmand
cmpi.b %d1,&QNAN
beq.l src_qnan
bra.l src_snan
global fsincos
fsincos:
mov.b STAG(%a6),%d1
beq.l ssincos
cmpi.b %d1,&ZERO
beq.l ssincosz
cmpi.b %d1,&INF
beq.l ssincosi
cmpi.b %d1,&DENORM
beq.l ssincosd
cmpi.b %d1,&QNAN
beq.l ssincosqnan
bra.l ssincossnan
global fmod
fmod:
mov.b STAG(%a6),%d1
beq.l smod_snorm
cmpi.b %d1,&ZERO
beq.l smod_szero
cmpi.b %d1,&INF
beq.l smod_sinf
cmpi.b %d1,&DENORM
beq.l smod_sdnrm
cmpi.b %d1,&QNAN
beq.l sop_sqnan
bra.l sop_ssnan
global frem
frem:
mov.b STAG(%a6),%d1
beq.l srem_snorm
cmpi.b %d1,&ZERO
beq.l srem_szero
cmpi.b %d1,&INF
beq.l srem_sinf
cmpi.b %d1,&DENORM
beq.l srem_sdnrm
cmpi.b %d1,&QNAN
beq.l sop_sqnan
bra.l sop_ssnan
global fscale
fscale:
mov.b STAG(%a6),%d1
beq.l sscale_snorm
cmpi.b %d1,&ZERO
beq.l sscale_szero
cmpi.b %d1,&INF
beq.l sscale_sinf
cmpi.b %d1,&DENORM
beq.l sscale_sdnrm
cmpi.b %d1,&QNAN
beq.l sop_sqnan
bra.l sop_ssnan
#########################################################################
# XDEF **************************************************************** #
# fgen_except(): catch an exception during transcendental #
# emulation #
# #
# XREF **************************************************************** #
# fmul() - emulate a multiply instruction #
# fadd() - emulate an add instruction #
# fin() - emulate an fmove instruction #
# #
# INPUT *************************************************************** #
# fp0 = destination operand #
# d0 = type of instruction that took exception #
# fsave frame = source operand #
# #
# OUTPUT ************************************************************** #
# fp0 = result #
# fp1 = EXOP #
# #
# ALGORITHM *********************************************************** #
# An exception occurred on the last instruction of the #
# transcendental emulation. hopefully, this won't be happening much #
# because it will be VERY slow. #
# The only exceptions capable of passing through here are #
# Overflow, Underflow, and Unsupported Data Type. #
# #
#########################################################################
global fgen_except
fgen_except:
cmpi.b 0x3(%sp),&0x7 # is exception UNSUPP?
beq.b fge_unsupp # yes
mov.b &NORM,STAG(%a6)
fge_cont:
mov.b &NORM,DTAG(%a6)
# ok, I have a problem with putting the dst op at FP_DST. the emulation
# routines aren't supposed to alter the operands but we've just squashed
# FP_DST here...
# 8/17/93 - this turns out to be more of a "cleanliness" standpoint
# then a potential bug. to begin with, only the dyadic functions
# frem,fmod, and fscale would get the dst trashed here. But, for
# the 060SP, the FP_DST is never used again anyways.
fmovm.x &0x80,FP_DST(%a6) # dst op is in fp0
lea 0x4(%sp),%a0 # pass: ptr to src op
lea FP_DST(%a6),%a1 # pass: ptr to dst op
cmpi.b %d1,&FMOV_OP
beq.b fge_fin # it was an "fmov"
cmpi.b %d1,&FADD_OP
beq.b fge_fadd # it was an "fadd"
fge_fmul:
bsr.l fmul
rts
fge_fadd:
bsr.l fadd
rts
fge_fin:
bsr.l fin
rts
fge_unsupp:
mov.b &DENORM,STAG(%a6)
bra.b fge_cont
#
# This table holds the offsets of the emulation routines for each individual
# math operation relative to the address of this table. Included are
# routines like fadd/fmul/fabs as well as the transcendentals.
# The location within the table is determined by the extension bits of the
# operation longword.
#
swbeg &109
tbl_unsupp:
long fin - tbl_unsupp # 00: fmove
long fint - tbl_unsupp # 01: fint
long fsinh - tbl_unsupp # 02: fsinh
long fintrz - tbl_unsupp # 03: fintrz
long fsqrt - tbl_unsupp # 04: fsqrt
long tbl_unsupp - tbl_unsupp
long flognp1 - tbl_unsupp # 06: flognp1
long tbl_unsupp - tbl_unsupp
long fetoxm1 - tbl_unsupp # 08: fetoxm1
long ftanh - tbl_unsupp # 09: ftanh
long fatan - tbl_unsupp # 0a: fatan
long tbl_unsupp - tbl_unsupp
long fasin - tbl_unsupp # 0c: fasin
long fatanh - tbl_unsupp # 0d: fatanh
long fsine - tbl_unsupp # 0e: fsin
long ftan - tbl_unsupp # 0f: ftan
long fetox - tbl_unsupp # 10: fetox
long ftwotox - tbl_unsupp # 11: ftwotox
long ftentox - tbl_unsupp # 12: ftentox
long tbl_unsupp - tbl_unsupp
long flogn - tbl_unsupp # 14: flogn
long flog10 - tbl_unsupp # 15: flog10
long flog2 - tbl_unsupp # 16: flog2
long tbl_unsupp - tbl_unsupp
long fabs - tbl_unsupp # 18: fabs
long fcosh - tbl_unsupp # 19: fcosh
long fneg - tbl_unsupp # 1a: fneg
long tbl_unsupp - tbl_unsupp
long facos - tbl_unsupp # 1c: facos
long fcos - tbl_unsupp # 1d: fcos
long fgetexp - tbl_unsupp # 1e: fgetexp
long fgetman - tbl_unsupp # 1f: fgetman
long fdiv - tbl_unsupp # 20: fdiv
long fmod - tbl_unsupp # 21: fmod
long fadd - tbl_unsupp # 22: fadd
long fmul - tbl_unsupp # 23: fmul
long fsgldiv - tbl_unsupp # 24: fsgldiv
long frem - tbl_unsupp # 25: frem
long fscale - tbl_unsupp # 26: fscale
long fsglmul - tbl_unsupp # 27: fsglmul
long fsub - tbl_unsupp # 28: fsub
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long fsincos - tbl_unsupp # 30: fsincos
long fsincos - tbl_unsupp # 31: fsincos
long fsincos - tbl_unsupp # 32: fsincos
long fsincos - tbl_unsupp # 33: fsincos
long fsincos - tbl_unsupp # 34: fsincos
long fsincos - tbl_unsupp # 35: fsincos
long fsincos - tbl_unsupp # 36: fsincos
long fsincos - tbl_unsupp # 37: fsincos
long fcmp - tbl_unsupp # 38: fcmp
long tbl_unsupp - tbl_unsupp
long ftst - tbl_unsupp # 3a: ftst
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long fsin - tbl_unsupp # 40: fsmove
long fssqrt - tbl_unsupp # 41: fssqrt
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long fdin - tbl_unsupp # 44: fdmove
long fdsqrt - tbl_unsupp # 45: fdsqrt
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long fsabs - tbl_unsupp # 58: fsabs
long tbl_unsupp - tbl_unsupp
long fsneg - tbl_unsupp # 5a: fsneg
long tbl_unsupp - tbl_unsupp
long fdabs - tbl_unsupp # 5c: fdabs
long tbl_unsupp - tbl_unsupp
long fdneg - tbl_unsupp # 5e: fdneg
long tbl_unsupp - tbl_unsupp
long fsdiv - tbl_unsupp # 60: fsdiv
long tbl_unsupp - tbl_unsupp
long fsadd - tbl_unsupp # 62: fsadd
long fsmul - tbl_unsupp # 63: fsmul
long fddiv - tbl_unsupp # 64: fddiv
long tbl_unsupp - tbl_unsupp
long fdadd - tbl_unsupp # 66: fdadd
long fdmul - tbl_unsupp # 67: fdmul
long fssub - tbl_unsupp # 68: fssub
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long tbl_unsupp - tbl_unsupp
long fdsub - tbl_unsupp # 6c: fdsub
#########################################################################
# XDEF **************************************************************** #
# fmul(): emulates the fmul instruction #
# fsmul(): emulates the fsmul instruction #
# fdmul(): emulates the fdmul instruction #
# #
# XREF **************************************************************** #
# scale_to_zero_src() - scale src exponent to zero #
# scale_to_zero_dst() - scale dst exponent to zero #
# unf_res() - return default underflow result #
# ovf_res() - return default overflow result #
# res_qnan() - return QNAN result #
# res_snan() - return SNAN result #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# a1 = pointer to extended precision destination operand #
# d0 rnd prec,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = result #
# fp1 = EXOP (if exception occurred) #
# #
# ALGORITHM *********************************************************** #
# Handle NANs, infinities, and zeroes as special cases. Divide #
# norms/denorms into ext/sgl/dbl precision. #
# For norms/denorms, scale the exponents such that a multiply #
# instruction won't cause an exception. Use the regular fmul to #
# compute a result. Check if the regular operands would have taken #
# an exception. If so, return the default overflow/underflow result #
# and return the EXOP if exceptions are enabled. Else, scale the #
# result operand to the proper exponent. #
# #
#########################################################################
align 0x10
tbl_fmul_ovfl:
long 0x3fff - 0x7ffe # ext_max
long 0x3fff - 0x407e # sgl_max
long 0x3fff - 0x43fe # dbl_max
tbl_fmul_unfl:
long 0x3fff + 0x0001 # ext_unfl
long 0x3fff - 0x3f80 # sgl_unfl
long 0x3fff - 0x3c00 # dbl_unfl
global fsmul
fsmul:
andi.b &0x30,%d0 # clear rnd prec
ori.b &s_mode*0x10,%d0 # insert sgl prec
bra.b fmul
global fdmul
fdmul:
andi.b &0x30,%d0
ori.b &d_mode*0x10,%d0 # insert dbl prec
global fmul
fmul:
mov.l %d0,L_SCR3(%a6) # store rnd info
clr.w %d1
mov.b DTAG(%a6),%d1
lsl.b &0x3,%d1
or.b STAG(%a6),%d1 # combine src tags
bne.w fmul_not_norm # optimize on non-norm input
fmul_norm:
mov.w DST_EX(%a1),FP_SCR1_EX(%a6)
mov.l DST_HI(%a1),FP_SCR1_HI(%a6)
mov.l DST_LO(%a1),FP_SCR1_LO(%a6)
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_to_zero_src # scale src exponent
mov.l %d0,-(%sp) # save scale factor 1
bsr.l scale_to_zero_dst # scale dst exponent
add.l %d0,(%sp) # SCALE_FACTOR = scale1 + scale2
mov.w 2+L_SCR3(%a6),%d1 # fetch precision
lsr.b &0x6,%d1 # shift to lo bits
mov.l (%sp)+,%d0 # load S.F.
cmp.l %d0,(tbl_fmul_ovfl.w,%pc,%d1.w*4) # would result ovfl?
beq.w fmul_may_ovfl # result may rnd to overflow
blt.w fmul_ovfl # result will overflow
cmp.l %d0,(tbl_fmul_unfl.w,%pc,%d1.w*4) # would result unfl?
beq.w fmul_may_unfl # result may rnd to no unfl
bgt.w fmul_unfl # result will underflow
#
# NORMAL:
# - the result of the multiply operation will neither overflow nor underflow.
# - do the multiply to the proper precision and rounding mode.
# - scale the result exponent using the scale factor. if both operands were
# normalized then we really don't need to go through this scaling. but for now,
# this will do.
#
fmul_normal:
fmovm.x FP_SCR1(%a6),&0x80 # load dst operand
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fmul.x FP_SCR0(%a6),%fp0 # execute multiply
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fmul_normal_exit:
fmovm.x &0x80,FP_SCR0(%a6) # store out result
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # load {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
or.w %d2,%d1 # concat old sign,new exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x80 # return default result in fp0
rts
#
# OVERFLOW:
# - the result of the multiply operation is an overflow.
# - do the multiply to the proper precision and rounding mode in order to
# set the inexact bits.
# - calculate the default result and return it in fp0.
# - if overflow or inexact is enabled, we need a multiply result rounded to
# extended precision. if the original operation was extended, then we have this
# result. if the original operation was single or double, we have to do another
# multiply using extended precision and the correct rounding mode. the result
# of this operation then has its exponent scaled by -0x6000 to create the
# exceptional operand.
#
fmul_ovfl:
fmovm.x FP_SCR1(%a6),&0x80 # load dst operand
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fmul.x FP_SCR0(%a6),%fp0 # execute multiply
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
# save setting this until now because this is where fmul_may_ovfl may jump in
fmul_ovfl_tst:
or.l &ovfl_inx_mask,USER_FPSR(%a6) # set ovfl/aovfl/ainex
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x13,%d1 # is OVFL or INEX enabled?
bne.b fmul_ovfl_ena # yes
# calculate the default result
fmul_ovfl_dis:
btst &neg_bit,FPSR_CC(%a6) # is result negative?
sne %d1 # set sign param accordingly
mov.l L_SCR3(%a6),%d0 # pass rnd prec,mode
bsr.l ovf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # set INF,N if applicable
fmovm.x (%a0),&0x80 # return default result in fp0
rts
#
# OVFL is enabled; Create EXOP:
# - if precision is extended, then we have the EXOP. simply bias the exponent
# with an extra -0x6000. if the precision is single or double, we need to
# calculate a result rounded to extended precision.
#
fmul_ovfl_ena:
mov.l L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # test the rnd prec
bne.b fmul_ovfl_ena_sd # it's sgl or dbl
fmul_ovfl_ena_cont:
fmovm.x &0x80,FP_SCR0(%a6) # move result to stack
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.w %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
sub.l %d0,%d1 # add scale factor
subi.l &0x6000,%d1 # subtract bias
andi.w &0x7fff,%d1 # clear sign bit
andi.w &0x8000,%d2 # keep old sign
or.w %d2,%d1 # concat old sign,new exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
bra.b fmul_ovfl_dis
fmul_ovfl_ena_sd:
fmovm.x FP_SCR1(%a6),&0x80 # load dst operand
mov.l L_SCR3(%a6),%d1
andi.b &0x30,%d1 # keep rnd mode only
fmov.l %d1,%fpcr # set FPCR
fmul.x FP_SCR0(%a6),%fp0 # execute multiply
fmov.l &0x0,%fpcr # clear FPCR
bra.b fmul_ovfl_ena_cont
#
# may OVERFLOW:
# - the result of the multiply operation MAY overflow.
# - do the multiply to the proper precision and rounding mode in order to
# set the inexact bits.
# - calculate the default result and return it in fp0.
#
fmul_may_ovfl:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fmul.x FP_SCR0(%a6),%fp0 # execute multiply
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fabs.x %fp0,%fp1 # make a copy of result
fcmp.b %fp1,&0x2 # is |result| >= 2.b?
fbge.w fmul_ovfl_tst # yes; overflow has occurred
# no, it didn't overflow; we have correct result
bra.w fmul_normal_exit
#
# UNDERFLOW:
# - the result of the multiply operation is an underflow.
# - do the multiply to the proper precision and rounding mode in order to
# set the inexact bits.
# - calculate the default result and return it in fp0.
# - if overflow or inexact is enabled, we need a multiply result rounded to
# extended precision. if the original operation was extended, then we have this
# result. if the original operation was single or double, we have to do another
# multiply using extended precision and the correct rounding mode. the result
# of this operation then has its exponent scaled by -0x6000 to create the
# exceptional operand.
#
fmul_unfl:
bset &unfl_bit,FPSR_EXCEPT(%a6) # set unfl exc bit
# for fun, let's use only extended precision, round to zero. then, let
# the unf_res() routine figure out all the rest.
# will we get the correct answer.
fmovm.x FP_SCR1(%a6),&0x80 # load dst operand
fmov.l &rz_mode*0x10,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fmul.x FP_SCR0(%a6),%fp0 # execute multiply
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0b,%d1 # is UNFL or INEX enabled?
bne.b fmul_unfl_ena # yes
fmul_unfl_dis:
fmovm.x &0x80,FP_SCR0(%a6) # store out result
lea FP_SCR0(%a6),%a0 # pass: result addr
mov.l L_SCR3(%a6),%d1 # pass: rnd prec,mode
bsr.l unf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # unf_res2 may have set 'Z'
fmovm.x FP_SCR0(%a6),&0x80 # return default result in fp0
rts
#
# UNFL is enabled.
#
fmul_unfl_ena:
fmovm.x FP_SCR1(%a6),&0x40 # load dst op
mov.l L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # is precision extended?
bne.b fmul_unfl_ena_sd # no, sgl or dbl
# if the rnd mode is anything but RZ, then we have to re-do the above
# multiplication because we used RZ for all.
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmul_unfl_ena_cont:
fmov.l &0x0,%fpsr # clear FPSR
fmul.x FP_SCR0(%a6),%fp1 # execute multiply
fmov.l &0x0,%fpcr # clear FPCR
fmovm.x &0x40,FP_SCR0(%a6) # save result to stack
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
addi.l &0x6000,%d1 # add bias
andi.w &0x7fff,%d1
or.w %d2,%d1 # concat old sign,new exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
bra.w fmul_unfl_dis
fmul_unfl_ena_sd:
mov.l L_SCR3(%a6),%d1
andi.b &0x30,%d1 # use only rnd mode
fmov.l %d1,%fpcr # set FPCR
bra.b fmul_unfl_ena_cont
# MAY UNDERFLOW:
# -use the correct rounding mode and precision. this code favors operations
# that do not underflow.
fmul_may_unfl:
fmovm.x FP_SCR1(%a6),&0x80 # load dst operand
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fmul.x FP_SCR0(%a6),%fp0 # execute multiply
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fabs.x %fp0,%fp1 # make a copy of result
fcmp.b %fp1,&0x2 # is |result| > 2.b?
fbgt.w fmul_normal_exit # no; no underflow occurred
fblt.w fmul_unfl # yes; underflow occurred
#
# we still don't know if underflow occurred. result is ~ equal to 2. but,
# we don't know if the result was an underflow that rounded up to a 2 or
# a normalized number that rounded down to a 2. so, redo the entire operation
# using RZ as the rounding mode to see what the pre-rounded result is.
# this case should be relatively rare.
#
fmovm.x FP_SCR1(%a6),&0x40 # load dst operand
mov.l L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # keep rnd prec
ori.b &rz_mode*0x10,%d1 # insert RZ
fmov.l %d1,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fmul.x FP_SCR0(%a6),%fp1 # execute multiply
fmov.l &0x0,%fpcr # clear FPCR
fabs.x %fp1 # make absolute value
fcmp.b %fp1,&0x2 # is |result| < 2.b?
fbge.w fmul_normal_exit # no; no underflow occurred
bra.w fmul_unfl # yes, underflow occurred
################################################################################
#
# Multiply: inputs are not both normalized; what are they?
#
fmul_not_norm:
mov.w (tbl_fmul_op.b,%pc,%d1.w*2),%d1
jmp (tbl_fmul_op.b,%pc,%d1.w)
swbeg &48
tbl_fmul_op:
short fmul_norm - tbl_fmul_op # NORM x NORM
short fmul_zero - tbl_fmul_op # NORM x ZERO
short fmul_inf_src - tbl_fmul_op # NORM x INF
short fmul_res_qnan - tbl_fmul_op # NORM x QNAN
short fmul_norm - tbl_fmul_op # NORM x DENORM
short fmul_res_snan - tbl_fmul_op # NORM x SNAN
short tbl_fmul_op - tbl_fmul_op #
short tbl_fmul_op - tbl_fmul_op #
short fmul_zero - tbl_fmul_op # ZERO x NORM
short fmul_zero - tbl_fmul_op # ZERO x ZERO
short fmul_res_operr - tbl_fmul_op # ZERO x INF
short fmul_res_qnan - tbl_fmul_op # ZERO x QNAN
short fmul_zero - tbl_fmul_op # ZERO x DENORM
short fmul_res_snan - tbl_fmul_op # ZERO x SNAN
short tbl_fmul_op - tbl_fmul_op #
short tbl_fmul_op - tbl_fmul_op #
short fmul_inf_dst - tbl_fmul_op # INF x NORM
short fmul_res_operr - tbl_fmul_op # INF x ZERO
short fmul_inf_dst - tbl_fmul_op # INF x INF
short fmul_res_qnan - tbl_fmul_op # INF x QNAN
short fmul_inf_dst - tbl_fmul_op # INF x DENORM
short fmul_res_snan - tbl_fmul_op # INF x SNAN
short tbl_fmul_op - tbl_fmul_op #
short tbl_fmul_op - tbl_fmul_op #
short fmul_res_qnan - tbl_fmul_op # QNAN x NORM
short fmul_res_qnan - tbl_fmul_op # QNAN x ZERO
short fmul_res_qnan - tbl_fmul_op # QNAN x INF
short fmul_res_qnan - tbl_fmul_op # QNAN x QNAN
short fmul_res_qnan - tbl_fmul_op # QNAN x DENORM
short fmul_res_snan - tbl_fmul_op # QNAN x SNAN
short tbl_fmul_op - tbl_fmul_op #
short tbl_fmul_op - tbl_fmul_op #
short fmul_norm - tbl_fmul_op # NORM x NORM
short fmul_zero - tbl_fmul_op # NORM x ZERO
short fmul_inf_src - tbl_fmul_op # NORM x INF
short fmul_res_qnan - tbl_fmul_op # NORM x QNAN
short fmul_norm - tbl_fmul_op # NORM x DENORM
short fmul_res_snan - tbl_fmul_op # NORM x SNAN
short tbl_fmul_op - tbl_fmul_op #
short tbl_fmul_op - tbl_fmul_op #
short fmul_res_snan - tbl_fmul_op # SNAN x NORM
short fmul_res_snan - tbl_fmul_op # SNAN x ZERO
short fmul_res_snan - tbl_fmul_op # SNAN x INF
short fmul_res_snan - tbl_fmul_op # SNAN x QNAN
short fmul_res_snan - tbl_fmul_op # SNAN x DENORM
short fmul_res_snan - tbl_fmul_op # SNAN x SNAN
short tbl_fmul_op - tbl_fmul_op #
short tbl_fmul_op - tbl_fmul_op #
fmul_res_operr:
bra.l res_operr
fmul_res_snan:
bra.l res_snan
fmul_res_qnan:
bra.l res_qnan
#
# Multiply: (Zero x Zero) || (Zero x norm) || (Zero x denorm)
#
global fmul_zero # global for fsglmul
fmul_zero:
mov.b SRC_EX(%a0),%d0 # exclusive or the signs
mov.b DST_EX(%a1),%d1
eor.b %d0,%d1
bpl.b fmul_zero_p # result ZERO is pos.
fmul_zero_n:
fmov.s &0x80000000,%fp0 # load -ZERO
mov.b &z_bmask+neg_bmask,FPSR_CC(%a6) # set Z/N
rts
fmul_zero_p:
fmov.s &0x00000000,%fp0 # load +ZERO
mov.b &z_bmask,FPSR_CC(%a6) # set Z
rts
#
# Multiply: (inf x inf) || (inf x norm) || (inf x denorm)
#
# Note: The j-bit for an infinity is a don't-care. However, to be
# strictly compatible w/ the 68881/882, we make sure to return an
# INF w/ the j-bit set if the input INF j-bit was set. Destination
# INFs take priority.
#
global fmul_inf_dst # global for fsglmul
fmul_inf_dst:
fmovm.x DST(%a1),&0x80 # return INF result in fp0
mov.b SRC_EX(%a0),%d0 # exclusive or the signs
mov.b DST_EX(%a1),%d1
eor.b %d0,%d1
bpl.b fmul_inf_dst_p # result INF is pos.
fmul_inf_dst_n:
fabs.x %fp0 # clear result sign
fneg.x %fp0 # set result sign
mov.b &inf_bmask+neg_bmask,FPSR_CC(%a6) # set INF/N
rts
fmul_inf_dst_p:
fabs.x %fp0 # clear result sign
mov.b &inf_bmask,FPSR_CC(%a6) # set INF
rts
global fmul_inf_src # global for fsglmul
fmul_inf_src:
fmovm.x SRC(%a0),&0x80 # return INF result in fp0
mov.b SRC_EX(%a0),%d0 # exclusive or the signs
mov.b DST_EX(%a1),%d1
eor.b %d0,%d1
bpl.b fmul_inf_dst_p # result INF is pos.
bra.b fmul_inf_dst_n
#########################################################################
# XDEF **************************************************************** #
# fin(): emulates the fmove instruction #
# fsin(): emulates the fsmove instruction #
# fdin(): emulates the fdmove instruction #
# #
# XREF **************************************************************** #
# norm() - normalize mantissa for EXOP on denorm #
# scale_to_zero_src() - scale src exponent to zero #
# ovf_res() - return default overflow result #
# unf_res() - return default underflow result #
# res_qnan_1op() - return QNAN result #
# res_snan_1op() - return SNAN result #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# d0 = round prec/mode #
# #
# OUTPUT ************************************************************** #
# fp0 = result #
# fp1 = EXOP (if exception occurred) #
# #
# ALGORITHM *********************************************************** #
# Handle NANs, infinities, and zeroes as special cases. Divide #
# norms into extended, single, and double precision. #
# Norms can be emulated w/ a regular fmove instruction. For #
# sgl/dbl, must scale exponent and perform an "fmove". Check to see #
# if the result would have overflowed/underflowed. If so, use unf_res() #
# or ovf_res() to return the default result. Also return EXOP if #
# exception is enabled. If no exception, return the default result. #
# Unnorms don't pass through here. #
# #
#########################################################################
global fsin
fsin:
andi.b &0x30,%d0 # clear rnd prec
ori.b &s_mode*0x10,%d0 # insert sgl precision
bra.b fin
global fdin
fdin:
andi.b &0x30,%d0 # clear rnd prec
ori.b &d_mode*0x10,%d0 # insert dbl precision
global fin
fin:
mov.l %d0,L_SCR3(%a6) # store rnd info
mov.b STAG(%a6),%d1 # fetch src optype tag
bne.w fin_not_norm # optimize on non-norm input
#
# FP MOVE IN: NORMs and DENORMs ONLY!
#
fin_norm:
andi.b &0xc0,%d0 # is precision extended?
bne.w fin_not_ext # no, so go handle dbl or sgl
#
# precision selected is extended. so...we cannot get an underflow
# or overflow because of rounding to the correct precision. so...
# skip the scaling and unscaling...
#
tst.b SRC_EX(%a0) # is the operand negative?
bpl.b fin_norm_done # no
bset &neg_bit,FPSR_CC(%a6) # yes, so set 'N' ccode bit
fin_norm_done:
fmovm.x SRC(%a0),&0x80 # return result in fp0
rts
#
# for an extended precision DENORM, the UNFL exception bit is set
# the accrued bit is NOT set in this instance(no inexactness!)
#
fin_denorm:
andi.b &0xc0,%d0 # is precision extended?
bne.w fin_not_ext # no, so go handle dbl or sgl
bset &unfl_bit,FPSR_EXCEPT(%a6) # set unfl exc bit
tst.b SRC_EX(%a0) # is the operand negative?
bpl.b fin_denorm_done # no
bset &neg_bit,FPSR_CC(%a6) # yes, so set 'N' ccode bit
fin_denorm_done:
fmovm.x SRC(%a0),&0x80 # return result in fp0
btst &unfl_bit,FPCR_ENABLE(%a6) # is UNFL enabled?
bne.b fin_denorm_unfl_ena # yes
rts
#
# the input is an extended DENORM and underflow is enabled in the FPCR.
# normalize the mantissa and add the bias of 0x6000 to the resulting negative
# exponent and insert back into the operand.
#
fin_denorm_unfl_ena:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
lea FP_SCR0(%a6),%a0 # pass: ptr to operand
bsr.l norm # normalize result
neg.w %d0 # new exponent = -(shft val)
addi.w &0x6000,%d0 # add new bias to exponent
mov.w FP_SCR0_EX(%a6),%d1 # fetch old sign,exp
andi.w &0x8000,%d1 # keep old sign
andi.w &0x7fff,%d0 # clear sign position
or.w %d1,%d0 # concat new exo,old sign
mov.w %d0,FP_SCR0_EX(%a6) # insert new exponent
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
rts
#
# operand is to be rounded to single or double precision
#
fin_not_ext:
cmpi.b %d0,&s_mode*0x10 # separate sgl/dbl prec
bne.b fin_dbl
#
# operand is to be rounded to single precision
#
fin_sgl:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_to_zero_src # calculate scale factor
cmpi.l %d0,&0x3fff-0x3f80 # will move in underflow?
bge.w fin_sd_unfl # yes; go handle underflow
cmpi.l %d0,&0x3fff-0x407e # will move in overflow?
beq.w fin_sd_may_ovfl # maybe; go check
blt.w fin_sd_ovfl # yes; go handle overflow
#
# operand will NOT overflow or underflow when moved into the fp reg file
#
fin_sd_normal:
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.x FP_SCR0(%a6),%fp0 # perform move
fmov.l %fpsr,%d1 # save FPSR
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fin_sd_normal_exit:
mov.l %d2,-(%sp) # save d2
fmovm.x &0x80,FP_SCR0(%a6) # store out result
mov.w FP_SCR0_EX(%a6),%d1 # load {sgn,exp}
mov.w %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
sub.l %d0,%d1 # add scale factor
andi.w &0x8000,%d2 # keep old sign
or.w %d1,%d2 # concat old sign,new exponent
mov.w %d2,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x80 # return result in fp0
rts
#
# operand is to be rounded to double precision
#
fin_dbl:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_to_zero_src # calculate scale factor
cmpi.l %d0,&0x3fff-0x3c00 # will move in underflow?
bge.w fin_sd_unfl # yes; go handle underflow
cmpi.l %d0,&0x3fff-0x43fe # will move in overflow?
beq.w fin_sd_may_ovfl # maybe; go check
blt.w fin_sd_ovfl # yes; go handle overflow
bra.w fin_sd_normal # no; ho handle normalized op
#
# operand WILL underflow when moved in to the fp register file
#
fin_sd_unfl:
bset &unfl_bit,FPSR_EXCEPT(%a6) # set unfl exc bit
tst.b FP_SCR0_EX(%a6) # is operand negative?
bpl.b fin_sd_unfl_tst
bset &neg_bit,FPSR_CC(%a6) # set 'N' ccode bit
# if underflow or inexact is enabled, then go calculate the EXOP first.
fin_sd_unfl_tst:
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0b,%d1 # is UNFL or INEX enabled?
bne.b fin_sd_unfl_ena # yes
fin_sd_unfl_dis:
lea FP_SCR0(%a6),%a0 # pass: result addr
mov.l L_SCR3(%a6),%d1 # pass: rnd prec,mode
bsr.l unf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # unf_res may have set 'Z'
fmovm.x FP_SCR0(%a6),&0x80 # return default result in fp0
rts
#
# operand will underflow AND underflow or inexact is enabled.
# Therefore, we must return the result rounded to extended precision.
#
fin_sd_unfl_ena:
mov.l FP_SCR0_HI(%a6),FP_SCR1_HI(%a6)
mov.l FP_SCR0_LO(%a6),FP_SCR1_LO(%a6)
mov.w FP_SCR0_EX(%a6),%d1 # load current exponent
mov.l %d2,-(%sp) # save d2
mov.w %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
sub.l %d0,%d1 # subtract scale factor
andi.w &0x8000,%d2 # extract old sign
addi.l &0x6000,%d1 # add new bias
andi.w &0x7fff,%d1
or.w %d1,%d2 # concat old sign,new exp
mov.w %d2,FP_SCR1_EX(%a6) # insert new exponent
fmovm.x FP_SCR1(%a6),&0x40 # return EXOP in fp1
mov.l (%sp)+,%d2 # restore d2
bra.b fin_sd_unfl_dis
#
# operand WILL overflow.
#
fin_sd_ovfl:
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.x FP_SCR0(%a6),%fp0 # perform move
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d1 # save FPSR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fin_sd_ovfl_tst:
or.l &ovfl_inx_mask,USER_FPSR(%a6) # set ovfl/aovfl/ainex
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x13,%d1 # is OVFL or INEX enabled?
bne.b fin_sd_ovfl_ena # yes
#
# OVFL is not enabled; therefore, we must create the default result by
# calling ovf_res().
#
fin_sd_ovfl_dis:
btst &neg_bit,FPSR_CC(%a6) # is result negative?
sne %d1 # set sign param accordingly
mov.l L_SCR3(%a6),%d0 # pass: prec,mode
bsr.l ovf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # set INF,N if applicable
fmovm.x (%a0),&0x80 # return default result in fp0
rts
#
# OVFL is enabled.
# the INEX2 bit has already been updated by the round to the correct precision.
# now, round to extended(and don't alter the FPSR).
#
fin_sd_ovfl_ena:
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
sub.l &0x6000,%d1 # subtract bias
andi.w &0x7fff,%d1
or.w %d2,%d1
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
bra.b fin_sd_ovfl_dis
#
# the move in MAY overflow. so...
#
fin_sd_may_ovfl:
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.x FP_SCR0(%a6),%fp0 # perform the move
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fabs.x %fp0,%fp1 # make a copy of result
fcmp.b %fp1,&0x2 # is |result| >= 2.b?
fbge.w fin_sd_ovfl_tst # yes; overflow has occurred
# no, it didn't overflow; we have correct result
bra.w fin_sd_normal_exit
##########################################################################
#
# operand is not a NORM: check its optype and branch accordingly
#
fin_not_norm:
cmpi.b %d1,&DENORM # weed out DENORM
beq.w fin_denorm
cmpi.b %d1,&SNAN # weed out SNANs
beq.l res_snan_1op
cmpi.b %d1,&QNAN # weed out QNANs
beq.l res_qnan_1op
#
# do the fmove in; at this point, only possible ops are ZERO and INF.
# use fmov to determine ccodes.
# prec:mode should be zero at this point but it won't affect answer anyways.
#
fmov.x SRC(%a0),%fp0 # do fmove in
fmov.l %fpsr,%d0 # no exceptions possible
rol.l &0x8,%d0 # put ccodes in lo byte
mov.b %d0,FPSR_CC(%a6) # insert correct ccodes
rts
#########################################################################
# XDEF **************************************************************** #
# fdiv(): emulates the fdiv instruction #
# fsdiv(): emulates the fsdiv instruction #
# fddiv(): emulates the fddiv instruction #
# #
# XREF **************************************************************** #
# scale_to_zero_src() - scale src exponent to zero #
# scale_to_zero_dst() - scale dst exponent to zero #
# unf_res() - return default underflow result #
# ovf_res() - return default overflow result #
# res_qnan() - return QNAN result #
# res_snan() - return SNAN result #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# a1 = pointer to extended precision destination operand #
# d0 rnd prec,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = result #
# fp1 = EXOP (if exception occurred) #
# #
# ALGORITHM *********************************************************** #
# Handle NANs, infinities, and zeroes as special cases. Divide #
# norms/denorms into ext/sgl/dbl precision. #
# For norms/denorms, scale the exponents such that a divide #
# instruction won't cause an exception. Use the regular fdiv to #
# compute a result. Check if the regular operands would have taken #
# an exception. If so, return the default overflow/underflow result #
# and return the EXOP if exceptions are enabled. Else, scale the #
# result operand to the proper exponent. #
# #
#########################################################################
align 0x10
tbl_fdiv_unfl:
long 0x3fff - 0x0000 # ext_unfl
long 0x3fff - 0x3f81 # sgl_unfl
long 0x3fff - 0x3c01 # dbl_unfl
tbl_fdiv_ovfl:
long 0x3fff - 0x7ffe # ext overflow exponent
long 0x3fff - 0x407e # sgl overflow exponent
long 0x3fff - 0x43fe # dbl overflow exponent
global fsdiv
fsdiv:
andi.b &0x30,%d0 # clear rnd prec
ori.b &s_mode*0x10,%d0 # insert sgl prec
bra.b fdiv
global fddiv
fddiv:
andi.b &0x30,%d0 # clear rnd prec
ori.b &d_mode*0x10,%d0 # insert dbl prec
global fdiv
fdiv:
mov.l %d0,L_SCR3(%a6) # store rnd info
clr.w %d1
mov.b DTAG(%a6),%d1
lsl.b &0x3,%d1
or.b STAG(%a6),%d1 # combine src tags
bne.w fdiv_not_norm # optimize on non-norm input
#
# DIVIDE: NORMs and DENORMs ONLY!
#
fdiv_norm:
mov.w DST_EX(%a1),FP_SCR1_EX(%a6)
mov.l DST_HI(%a1),FP_SCR1_HI(%a6)
mov.l DST_LO(%a1),FP_SCR1_LO(%a6)
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_to_zero_src # scale src exponent
mov.l %d0,-(%sp) # save scale factor 1
bsr.l scale_to_zero_dst # scale dst exponent
neg.l (%sp) # SCALE FACTOR = scale1 - scale2
add.l %d0,(%sp)
mov.w 2+L_SCR3(%a6),%d1 # fetch precision
lsr.b &0x6,%d1 # shift to lo bits
mov.l (%sp)+,%d0 # load S.F.
cmp.l %d0,(tbl_fdiv_ovfl.b,%pc,%d1.w*4) # will result overflow?
ble.w fdiv_may_ovfl # result will overflow
cmp.l %d0,(tbl_fdiv_unfl.w,%pc,%d1.w*4) # will result underflow?
beq.w fdiv_may_unfl # maybe
bgt.w fdiv_unfl # yes; go handle underflow
fdiv_normal:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l L_SCR3(%a6),%fpcr # save FPCR
fmov.l &0x0,%fpsr # clear FPSR
fdiv.x FP_SCR0(%a6),%fp0 # perform divide
fmov.l %fpsr,%d1 # save FPSR
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fdiv_normal_exit:
fmovm.x &0x80,FP_SCR0(%a6) # store result on stack
mov.l %d2,-(%sp) # store d2
mov.w FP_SCR0_EX(%a6),%d1 # load {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
or.w %d2,%d1 # concat old sign,new exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x80 # return result in fp0
rts
tbl_fdiv_ovfl2:
long 0x7fff
long 0x407f
long 0x43ff
fdiv_no_ovfl:
mov.l (%sp)+,%d0 # restore scale factor
bra.b fdiv_normal_exit
fdiv_may_ovfl:
mov.l %d0,-(%sp) # save scale factor
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # set FPSR
fdiv.x FP_SCR0(%a6),%fp0 # execute divide
fmov.l %fpsr,%d0
fmov.l &0x0,%fpcr
or.l %d0,USER_FPSR(%a6) # save INEX,N
fmovm.x &0x01,-(%sp) # save result to stack
mov.w (%sp),%d0 # fetch new exponent
add.l &0xc,%sp # clear result from stack
andi.l &0x7fff,%d0 # strip sign
sub.l (%sp),%d0 # add scale factor
cmp.l %d0,(tbl_fdiv_ovfl2.b,%pc,%d1.w*4)
blt.b fdiv_no_ovfl
mov.l (%sp)+,%d0
fdiv_ovfl_tst:
or.l &ovfl_inx_mask,USER_FPSR(%a6) # set ovfl/aovfl/ainex
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x13,%d1 # is OVFL or INEX enabled?
bne.b fdiv_ovfl_ena # yes
fdiv_ovfl_dis:
btst &neg_bit,FPSR_CC(%a6) # is result negative?
sne %d1 # set sign param accordingly
mov.l L_SCR3(%a6),%d0 # pass prec:rnd
bsr.l ovf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # set INF if applicable
fmovm.x (%a0),&0x80 # return default result in fp0
rts
fdiv_ovfl_ena:
mov.l L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # is precision extended?
bne.b fdiv_ovfl_ena_sd # no, do sgl or dbl
fdiv_ovfl_ena_cont:
fmovm.x &0x80,FP_SCR0(%a6) # move result to stack
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.w %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
sub.l %d0,%d1 # add scale factor
subi.l &0x6000,%d1 # subtract bias
andi.w &0x7fff,%d1 # clear sign bit
andi.w &0x8000,%d2 # keep old sign
or.w %d2,%d1 # concat old sign,new exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
bra.b fdiv_ovfl_dis
fdiv_ovfl_ena_sd:
fmovm.x FP_SCR1(%a6),&0x80 # load dst operand
mov.l L_SCR3(%a6),%d1
andi.b &0x30,%d1 # keep rnd mode
fmov.l %d1,%fpcr # set FPCR
fdiv.x FP_SCR0(%a6),%fp0 # execute divide
fmov.l &0x0,%fpcr # clear FPCR
bra.b fdiv_ovfl_ena_cont
fdiv_unfl:
bset &unfl_bit,FPSR_EXCEPT(%a6) # set unfl exc bit
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l &rz_mode*0x10,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fdiv.x FP_SCR0(%a6),%fp0 # execute divide
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0b,%d1 # is UNFL or INEX enabled?
bne.b fdiv_unfl_ena # yes
fdiv_unfl_dis:
fmovm.x &0x80,FP_SCR0(%a6) # store out result
lea FP_SCR0(%a6),%a0 # pass: result addr
mov.l L_SCR3(%a6),%d1 # pass: rnd prec,mode
bsr.l unf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # 'Z' may have been set
fmovm.x FP_SCR0(%a6),&0x80 # return default result in fp0
rts
#
# UNFL is enabled.
#
fdiv_unfl_ena:
fmovm.x FP_SCR1(%a6),&0x40 # load dst op
mov.l L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # is precision extended?
bne.b fdiv_unfl_ena_sd # no, sgl or dbl
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fdiv_unfl_ena_cont:
fmov.l &0x0,%fpsr # clear FPSR
fdiv.x FP_SCR0(%a6),%fp1 # execute divide
fmov.l &0x0,%fpcr # clear FPCR
fmovm.x &0x40,FP_SCR0(%a6) # save result to stack
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factoer
addi.l &0x6000,%d1 # add bias
andi.w &0x7fff,%d1
or.w %d2,%d1 # concat old sign,new exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exp
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
bra.w fdiv_unfl_dis
fdiv_unfl_ena_sd:
mov.l L_SCR3(%a6),%d1
andi.b &0x30,%d1 # use only rnd mode
fmov.l %d1,%fpcr # set FPCR
bra.b fdiv_unfl_ena_cont
#
# the divide operation MAY underflow:
#
fdiv_may_unfl:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fdiv.x FP_SCR0(%a6),%fp0 # execute divide
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fabs.x %fp0,%fp1 # make a copy of result
fcmp.b %fp1,&0x1 # is |result| > 1.b?
fbgt.w fdiv_normal_exit # no; no underflow occurred
fblt.w fdiv_unfl # yes; underflow occurred
#
# we still don't know if underflow occurred. result is ~ equal to 1. but,
# we don't know if the result was an underflow that rounded up to a 1
# or a normalized number that rounded down to a 1. so, redo the entire
# operation using RZ as the rounding mode to see what the pre-rounded
# result is. this case should be relatively rare.
#
fmovm.x FP_SCR1(%a6),&0x40 # load dst op into fp1
mov.l L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # keep rnd prec
ori.b &rz_mode*0x10,%d1 # insert RZ
fmov.l %d1,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fdiv.x FP_SCR0(%a6),%fp1 # execute divide
fmov.l &0x0,%fpcr # clear FPCR
fabs.x %fp1 # make absolute value
fcmp.b %fp1,&0x1 # is |result| < 1.b?
fbge.w fdiv_normal_exit # no; no underflow occurred
bra.w fdiv_unfl # yes; underflow occurred
############################################################################
#
# Divide: inputs are not both normalized; what are they?
#
fdiv_not_norm:
mov.w (tbl_fdiv_op.b,%pc,%d1.w*2),%d1
jmp (tbl_fdiv_op.b,%pc,%d1.w*1)
swbeg &48
tbl_fdiv_op:
short fdiv_norm - tbl_fdiv_op # NORM / NORM
short fdiv_inf_load - tbl_fdiv_op # NORM / ZERO
short fdiv_zero_load - tbl_fdiv_op # NORM / INF
short fdiv_res_qnan - tbl_fdiv_op # NORM / QNAN
short fdiv_norm - tbl_fdiv_op # NORM / DENORM
short fdiv_res_snan - tbl_fdiv_op # NORM / SNAN
short tbl_fdiv_op - tbl_fdiv_op #
short tbl_fdiv_op - tbl_fdiv_op #
short fdiv_zero_load - tbl_fdiv_op # ZERO / NORM
short fdiv_res_operr - tbl_fdiv_op # ZERO / ZERO
short fdiv_zero_load - tbl_fdiv_op # ZERO / INF
short fdiv_res_qnan - tbl_fdiv_op # ZERO / QNAN
short fdiv_zero_load - tbl_fdiv_op # ZERO / DENORM
short fdiv_res_snan - tbl_fdiv_op # ZERO / SNAN
short tbl_fdiv_op - tbl_fdiv_op #
short tbl_fdiv_op - tbl_fdiv_op #
short fdiv_inf_dst - tbl_fdiv_op # INF / NORM
short fdiv_inf_dst - tbl_fdiv_op # INF / ZERO
short fdiv_res_operr - tbl_fdiv_op # INF / INF
short fdiv_res_qnan - tbl_fdiv_op # INF / QNAN
short fdiv_inf_dst - tbl_fdiv_op # INF / DENORM
short fdiv_res_snan - tbl_fdiv_op # INF / SNAN
short tbl_fdiv_op - tbl_fdiv_op #
short tbl_fdiv_op - tbl_fdiv_op #
short fdiv_res_qnan - tbl_fdiv_op # QNAN / NORM
short fdiv_res_qnan - tbl_fdiv_op # QNAN / ZERO
short fdiv_res_qnan - tbl_fdiv_op # QNAN / INF
short fdiv_res_qnan - tbl_fdiv_op # QNAN / QNAN
short fdiv_res_qnan - tbl_fdiv_op # QNAN / DENORM
short fdiv_res_snan - tbl_fdiv_op # QNAN / SNAN
short tbl_fdiv_op - tbl_fdiv_op #
short tbl_fdiv_op - tbl_fdiv_op #
short fdiv_norm - tbl_fdiv_op # DENORM / NORM
short fdiv_inf_load - tbl_fdiv_op # DENORM / ZERO
short fdiv_zero_load - tbl_fdiv_op # DENORM / INF
short fdiv_res_qnan - tbl_fdiv_op # DENORM / QNAN
short fdiv_norm - tbl_fdiv_op # DENORM / DENORM
short fdiv_res_snan - tbl_fdiv_op # DENORM / SNAN
short tbl_fdiv_op - tbl_fdiv_op #
short tbl_fdiv_op - tbl_fdiv_op #
short fdiv_res_snan - tbl_fdiv_op # SNAN / NORM
short fdiv_res_snan - tbl_fdiv_op # SNAN / ZERO
short fdiv_res_snan - tbl_fdiv_op # SNAN / INF
short fdiv_res_snan - tbl_fdiv_op # SNAN / QNAN
short fdiv_res_snan - tbl_fdiv_op # SNAN / DENORM
short fdiv_res_snan - tbl_fdiv_op # SNAN / SNAN
short tbl_fdiv_op - tbl_fdiv_op #
short tbl_fdiv_op - tbl_fdiv_op #
fdiv_res_qnan:
bra.l res_qnan
fdiv_res_snan:
bra.l res_snan
fdiv_res_operr:
bra.l res_operr
global fdiv_zero_load # global for fsgldiv
fdiv_zero_load:
mov.b SRC_EX(%a0),%d0 # result sign is exclusive
mov.b DST_EX(%a1),%d1 # or of input signs.
eor.b %d0,%d1
bpl.b fdiv_zero_load_p # result is positive
fmov.s &0x80000000,%fp0 # load a -ZERO
mov.b &z_bmask+neg_bmask,FPSR_CC(%a6) # set Z/N
rts
fdiv_zero_load_p:
fmov.s &0x00000000,%fp0 # load a +ZERO
mov.b &z_bmask,FPSR_CC(%a6) # set Z
rts
#
# The destination was In Range and the source was a ZERO. The result,
# Therefore, is an INF w/ the proper sign.
# So, determine the sign and return a new INF (w/ the j-bit cleared).
#
global fdiv_inf_load # global for fsgldiv
fdiv_inf_load:
ori.w &dz_mask+adz_mask,2+USER_FPSR(%a6) # no; set DZ/ADZ
mov.b SRC_EX(%a0),%d0 # load both signs
mov.b DST_EX(%a1),%d1
eor.b %d0,%d1
bpl.b fdiv_inf_load_p # result is positive
fmov.s &0xff800000,%fp0 # make result -INF
mov.b &inf_bmask+neg_bmask,FPSR_CC(%a6) # set INF/N
rts
fdiv_inf_load_p:
fmov.s &0x7f800000,%fp0 # make result +INF
mov.b &inf_bmask,FPSR_CC(%a6) # set INF
rts
#
# The destination was an INF w/ an In Range or ZERO source, the result is
# an INF w/ the proper sign.
# The 68881/882 returns the destination INF w/ the new sign(if the j-bit of the
# dst INF is set, then then j-bit of the result INF is also set).
#
global fdiv_inf_dst # global for fsgldiv
fdiv_inf_dst:
mov.b DST_EX(%a1),%d0 # load both signs
mov.b SRC_EX(%a0),%d1
eor.b %d0,%d1
bpl.b fdiv_inf_dst_p # result is positive
fmovm.x DST(%a1),&0x80 # return result in fp0
fabs.x %fp0 # clear sign bit
fneg.x %fp0 # set sign bit
mov.b &inf_bmask+neg_bmask,FPSR_CC(%a6) # set INF/NEG
rts
fdiv_inf_dst_p:
fmovm.x DST(%a1),&0x80 # return result in fp0
fabs.x %fp0 # return positive INF
mov.b &inf_bmask,FPSR_CC(%a6) # set INF
rts
#########################################################################
# XDEF **************************************************************** #
# fneg(): emulates the fneg instruction #
# fsneg(): emulates the fsneg instruction #
# fdneg(): emulates the fdneg instruction #
# #
# XREF **************************************************************** #
# norm() - normalize a denorm to provide EXOP #
# scale_to_zero_src() - scale sgl/dbl source exponent #
# ovf_res() - return default overflow result #
# unf_res() - return default underflow result #
# res_qnan_1op() - return QNAN result #
# res_snan_1op() - return SNAN result #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# d0 = rnd prec,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = result #
# fp1 = EXOP (if exception occurred) #
# #
# ALGORITHM *********************************************************** #
# Handle NANs, zeroes, and infinities as special cases. Separate #
# norms/denorms into ext/sgl/dbl precisions. Extended precision can be #
# emulated by simply setting sign bit. Sgl/dbl operands must be scaled #
# and an actual fneg performed to see if overflow/underflow would have #
# occurred. If so, return default underflow/overflow result. Else, #
# scale the result exponent and return result. FPSR gets set based on #
# the result value. #
# #
#########################################################################
global fsneg
fsneg:
andi.b &0x30,%d0 # clear rnd prec
ori.b &s_mode*0x10,%d0 # insert sgl precision
bra.b fneg
global fdneg
fdneg:
andi.b &0x30,%d0 # clear rnd prec
ori.b &d_mode*0x10,%d0 # insert dbl prec
global fneg
fneg:
mov.l %d0,L_SCR3(%a6) # store rnd info
mov.b STAG(%a6),%d1
bne.w fneg_not_norm # optimize on non-norm input
#
# NEGATE SIGN : norms and denorms ONLY!
#
fneg_norm:
andi.b &0xc0,%d0 # is precision extended?
bne.w fneg_not_ext # no; go handle sgl or dbl
#
# precision selected is extended. so...we can not get an underflow
# or overflow because of rounding to the correct precision. so...
# skip the scaling and unscaling...
#
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
mov.w SRC_EX(%a0),%d0
eori.w &0x8000,%d0 # negate sign
bpl.b fneg_norm_load # sign is positive
mov.b &neg_bmask,FPSR_CC(%a6) # set 'N' ccode bit
fneg_norm_load:
mov.w %d0,FP_SCR0_EX(%a6)
fmovm.x FP_SCR0(%a6),&0x80 # return result in fp0
rts
#
# for an extended precision DENORM, the UNFL exception bit is set
# the accrued bit is NOT set in this instance(no inexactness!)
#
fneg_denorm:
andi.b &0xc0,%d0 # is precision extended?
bne.b fneg_not_ext # no; go handle sgl or dbl
bset &unfl_bit,FPSR_EXCEPT(%a6) # set unfl exc bit
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
mov.w SRC_EX(%a0),%d0
eori.w &0x8000,%d0 # negate sign
bpl.b fneg_denorm_done # no
mov.b &neg_bmask,FPSR_CC(%a6) # yes, set 'N' ccode bit
fneg_denorm_done:
mov.w %d0,FP_SCR0_EX(%a6)
fmovm.x FP_SCR0(%a6),&0x80 # return default result in fp0
btst &unfl_bit,FPCR_ENABLE(%a6) # is UNFL enabled?
bne.b fneg_ext_unfl_ena # yes
rts
#
# the input is an extended DENORM and underflow is enabled in the FPCR.
# normalize the mantissa and add the bias of 0x6000 to the resulting negative
# exponent and insert back into the operand.
#
fneg_ext_unfl_ena:
lea FP_SCR0(%a6),%a0 # pass: ptr to operand
bsr.l norm # normalize result
neg.w %d0 # new exponent = -(shft val)
addi.w &0x6000,%d0 # add new bias to exponent
mov.w FP_SCR0_EX(%a6),%d1 # fetch old sign,exp
andi.w &0x8000,%d1 # keep old sign
andi.w &0x7fff,%d0 # clear sign position
or.w %d1,%d0 # concat old sign, new exponent
mov.w %d0,FP_SCR0_EX(%a6) # insert new exponent
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
rts
#
# operand is either single or double
#
fneg_not_ext:
cmpi.b %d0,&s_mode*0x10 # separate sgl/dbl prec
bne.b fneg_dbl
#
# operand is to be rounded to single precision
#
fneg_sgl:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_to_zero_src # calculate scale factor
cmpi.l %d0,&0x3fff-0x3f80 # will move in underflow?
bge.w fneg_sd_unfl # yes; go handle underflow
cmpi.l %d0,&0x3fff-0x407e # will move in overflow?
beq.w fneg_sd_may_ovfl # maybe; go check
blt.w fneg_sd_ovfl # yes; go handle overflow
#
# operand will NOT overflow or underflow when moved in to the fp reg file
#
fneg_sd_normal:
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fneg.x FP_SCR0(%a6),%fp0 # perform negation
fmov.l %fpsr,%d1 # save FPSR
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fneg_sd_normal_exit:
mov.l %d2,-(%sp) # save d2
fmovm.x &0x80,FP_SCR0(%a6) # store out result
mov.w FP_SCR0_EX(%a6),%d1 # load sgn,exp
mov.w %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
sub.l %d0,%d1 # add scale factor
andi.w &0x8000,%d2 # keep old sign
or.w %d1,%d2 # concat old sign,new exp
mov.w %d2,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x80 # return result in fp0
rts
#
# operand is to be rounded to double precision
#
fneg_dbl:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_to_zero_src # calculate scale factor
cmpi.l %d0,&0x3fff-0x3c00 # will move in underflow?
bge.b fneg_sd_unfl # yes; go handle underflow
cmpi.l %d0,&0x3fff-0x43fe # will move in overflow?
beq.w fneg_sd_may_ovfl # maybe; go check
blt.w fneg_sd_ovfl # yes; go handle overflow
bra.w fneg_sd_normal # no; ho handle normalized op
#
# operand WILL underflow when moved in to the fp register file
#
fneg_sd_unfl:
bset &unfl_bit,FPSR_EXCEPT(%a6) # set unfl exc bit
eori.b &0x80,FP_SCR0_EX(%a6) # negate sign
bpl.b fneg_sd_unfl_tst
bset &neg_bit,FPSR_CC(%a6) # set 'N' ccode bit
# if underflow or inexact is enabled, go calculate EXOP first.
fneg_sd_unfl_tst:
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0b,%d1 # is UNFL or INEX enabled?
bne.b fneg_sd_unfl_ena # yes
fneg_sd_unfl_dis:
lea FP_SCR0(%a6),%a0 # pass: result addr
mov.l L_SCR3(%a6),%d1 # pass: rnd prec,mode
bsr.l unf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # unf_res may have set 'Z'
fmovm.x FP_SCR0(%a6),&0x80 # return default result in fp0
rts
#
# operand will underflow AND underflow is enabled.
# Therefore, we must return the result rounded to extended precision.
#
fneg_sd_unfl_ena:
mov.l FP_SCR0_HI(%a6),FP_SCR1_HI(%a6)
mov.l FP_SCR0_LO(%a6),FP_SCR1_LO(%a6)
mov.w FP_SCR0_EX(%a6),%d1 # load current exponent
mov.l %d2,-(%sp) # save d2
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # subtract scale factor
addi.l &0x6000,%d1 # add new bias
andi.w &0x7fff,%d1
or.w %d2,%d1 # concat new sign,new exp
mov.w %d1,FP_SCR1_EX(%a6) # insert new exp
fmovm.x FP_SCR1(%a6),&0x40 # return EXOP in fp1
mov.l (%sp)+,%d2 # restore d2
bra.b fneg_sd_unfl_dis
#
# operand WILL overflow.
#
fneg_sd_ovfl:
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fneg.x FP_SCR0(%a6),%fp0 # perform negation
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d1 # save FPSR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fneg_sd_ovfl_tst:
or.l &ovfl_inx_mask,USER_FPSR(%a6) # set ovfl/aovfl/ainex
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x13,%d1 # is OVFL or INEX enabled?
bne.b fneg_sd_ovfl_ena # yes
#
# OVFL is not enabled; therefore, we must create the default result by
# calling ovf_res().
#
fneg_sd_ovfl_dis:
btst &neg_bit,FPSR_CC(%a6) # is result negative?
sne %d1 # set sign param accordingly
mov.l L_SCR3(%a6),%d0 # pass: prec,mode
bsr.l ovf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # set INF,N if applicable
fmovm.x (%a0),&0x80 # return default result in fp0
rts
#
# OVFL is enabled.
# the INEX2 bit has already been updated by the round to the correct precision.
# now, round to extended(and don't alter the FPSR).
#
fneg_sd_ovfl_ena:
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
subi.l &0x6000,%d1 # subtract bias
andi.w &0x7fff,%d1
or.w %d2,%d1 # concat sign,exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
mov.l (%sp)+,%d2 # restore d2
bra.b fneg_sd_ovfl_dis
#
# the move in MAY underflow. so...
#
fneg_sd_may_ovfl:
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fneg.x FP_SCR0(%a6),%fp0 # perform negation
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fabs.x %fp0,%fp1 # make a copy of result
fcmp.b %fp1,&0x2 # is |result| >= 2.b?
fbge.w fneg_sd_ovfl_tst # yes; overflow has occurred
# no, it didn't overflow; we have correct result
bra.w fneg_sd_normal_exit
##########################################################################
#
# input is not normalized; what is it?
#
fneg_not_norm:
cmpi.b %d1,&DENORM # weed out DENORM
beq.w fneg_denorm
cmpi.b %d1,&SNAN # weed out SNAN
beq.l res_snan_1op
cmpi.b %d1,&QNAN # weed out QNAN
beq.l res_qnan_1op
#
# do the fneg; at this point, only possible ops are ZERO and INF.
# use fneg to determine ccodes.
# prec:mode should be zero at this point but it won't affect answer anyways.
#
fneg.x SRC_EX(%a0),%fp0 # do fneg
fmov.l %fpsr,%d0
rol.l &0x8,%d0 # put ccodes in lo byte
mov.b %d0,FPSR_CC(%a6) # insert correct ccodes
rts
#########################################################################
# XDEF **************************************************************** #
# ftst(): emulates the ftest instruction #
# #
# XREF **************************************************************** #
# res{s,q}nan_1op() - set NAN result for monadic instruction #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# #
# OUTPUT ************************************************************** #
# none #
# #
# ALGORITHM *********************************************************** #
# Check the source operand tag (STAG) and set the FPCR according #
# to the operand type and sign. #
# #
#########################################################################
global ftst
ftst:
mov.b STAG(%a6),%d1
bne.b ftst_not_norm # optimize on non-norm input
#
# Norm:
#
ftst_norm:
tst.b SRC_EX(%a0) # is operand negative?
bmi.b ftst_norm_m # yes
rts
ftst_norm_m:
mov.b &neg_bmask,FPSR_CC(%a6) # set 'N' ccode bit
rts
#
# input is not normalized; what is it?
#
ftst_not_norm:
cmpi.b %d1,&ZERO # weed out ZERO
beq.b ftst_zero
cmpi.b %d1,&INF # weed out INF
beq.b ftst_inf
cmpi.b %d1,&SNAN # weed out SNAN
beq.l res_snan_1op
cmpi.b %d1,&QNAN # weed out QNAN
beq.l res_qnan_1op
#
# Denorm:
#
ftst_denorm:
tst.b SRC_EX(%a0) # is operand negative?
bmi.b ftst_denorm_m # yes
rts
ftst_denorm_m:
mov.b &neg_bmask,FPSR_CC(%a6) # set 'N' ccode bit
rts
#
# Infinity:
#
ftst_inf:
tst.b SRC_EX(%a0) # is operand negative?
bmi.b ftst_inf_m # yes
ftst_inf_p:
mov.b &inf_bmask,FPSR_CC(%a6) # set 'I' ccode bit
rts
ftst_inf_m:
mov.b &inf_bmask+neg_bmask,FPSR_CC(%a6) # set 'I','N' ccode bits
rts
#
# Zero:
#
ftst_zero:
tst.b SRC_EX(%a0) # is operand negative?
bmi.b ftst_zero_m # yes
ftst_zero_p:
mov.b &z_bmask,FPSR_CC(%a6) # set 'N' ccode bit
rts
ftst_zero_m:
mov.b &z_bmask+neg_bmask,FPSR_CC(%a6) # set 'Z','N' ccode bits
rts
#########################################################################
# XDEF **************************************************************** #
# fint(): emulates the fint instruction #
# #
# XREF **************************************************************** #
# res_{s,q}nan_1op() - set NAN result for monadic operation #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# d0 = round precision/mode #
# #
# OUTPUT ************************************************************** #
# fp0 = result #
# #
# ALGORITHM *********************************************************** #
# Separate according to operand type. Unnorms don't pass through #
# here. For norms, load the rounding mode/prec, execute a "fint", then #
# store the resulting FPSR bits. #
# For denorms, force the j-bit to a one and do the same as for #
# norms. Denorms are so low that the answer will either be a zero or a #
# one. #
# For zeroes/infs/NANs, return the same while setting the FPSR #
# as appropriate. #
# #
#########################################################################
global fint
fint:
mov.b STAG(%a6),%d1
bne.b fint_not_norm # optimize on non-norm input
#
# Norm:
#
fint_norm:
andi.b &0x30,%d0 # set prec = ext
fmov.l %d0,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fint.x SRC(%a0),%fp0 # execute fint
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d0 # save FPSR
or.l %d0,USER_FPSR(%a6) # set exception bits
rts
#
# input is not normalized; what is it?
#
fint_not_norm:
cmpi.b %d1,&ZERO # weed out ZERO
beq.b fint_zero
cmpi.b %d1,&INF # weed out INF
beq.b fint_inf
cmpi.b %d1,&DENORM # weed out DENORM
beq.b fint_denorm
cmpi.b %d1,&SNAN # weed out SNAN
beq.l res_snan_1op
bra.l res_qnan_1op # weed out QNAN
#
# Denorm:
#
# for DENORMs, the result will be either (+/-)ZERO or (+/-)1.
# also, the INEX2 and AINEX exception bits will be set.
# so, we could either set these manually or force the DENORM
# to a very small NORM and ship it to the NORM routine.
# I do the latter.
#
fint_denorm:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6) # copy sign, zero exp
mov.b &0x80,FP_SCR0_HI(%a6) # force DENORM ==> small NORM
lea FP_SCR0(%a6),%a0
bra.b fint_norm
#
# Zero:
#
fint_zero:
tst.b SRC_EX(%a0) # is ZERO negative?
bmi.b fint_zero_m # yes
fint_zero_p:
fmov.s &0x00000000,%fp0 # return +ZERO in fp0
mov.b &z_bmask,FPSR_CC(%a6) # set 'Z' ccode bit
rts
fint_zero_m:
fmov.s &0x80000000,%fp0 # return -ZERO in fp0
mov.b &z_bmask+neg_bmask,FPSR_CC(%a6) # set 'Z','N' ccode bits
rts
#
# Infinity:
#
fint_inf:
fmovm.x SRC(%a0),&0x80 # return result in fp0
tst.b SRC_EX(%a0) # is INF negative?
bmi.b fint_inf_m # yes
fint_inf_p:
mov.b &inf_bmask,FPSR_CC(%a6) # set 'I' ccode bit
rts
fint_inf_m:
mov.b &inf_bmask+neg_bmask,FPSR_CC(%a6) # set 'N','I' ccode bits
rts
#########################################################################
# XDEF **************************************************************** #
# fintrz(): emulates the fintrz instruction #
# #
# XREF **************************************************************** #
# res_{s,q}nan_1op() - set NAN result for monadic operation #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# d0 = round precision/mode #
# #
# OUTPUT ************************************************************** #
# fp0 = result #
# #
# ALGORITHM *********************************************************** #
# Separate according to operand type. Unnorms don't pass through #
# here. For norms, load the rounding mode/prec, execute a "fintrz", #
# then store the resulting FPSR bits. #
# For denorms, force the j-bit to a one and do the same as for #
# norms. Denorms are so low that the answer will either be a zero or a #
# one. #
# For zeroes/infs/NANs, return the same while setting the FPSR #
# as appropriate. #
# #
#########################################################################
global fintrz
fintrz:
mov.b STAG(%a6),%d1
bne.b fintrz_not_norm # optimize on non-norm input
#
# Norm:
#
fintrz_norm:
fmov.l &0x0,%fpsr # clear FPSR
fintrz.x SRC(%a0),%fp0 # execute fintrz
fmov.l %fpsr,%d0 # save FPSR
or.l %d0,USER_FPSR(%a6) # set exception bits
rts
#
# input is not normalized; what is it?
#
fintrz_not_norm:
cmpi.b %d1,&ZERO # weed out ZERO
beq.b fintrz_zero
cmpi.b %d1,&INF # weed out INF
beq.b fintrz_inf
cmpi.b %d1,&DENORM # weed out DENORM
beq.b fintrz_denorm
cmpi.b %d1,&SNAN # weed out SNAN
beq.l res_snan_1op
bra.l res_qnan_1op # weed out QNAN
#
# Denorm:
#
# for DENORMs, the result will be (+/-)ZERO.
# also, the INEX2 and AINEX exception bits will be set.
# so, we could either set these manually or force the DENORM
# to a very small NORM and ship it to the NORM routine.
# I do the latter.
#
fintrz_denorm:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6) # copy sign, zero exp
mov.b &0x80,FP_SCR0_HI(%a6) # force DENORM ==> small NORM
lea FP_SCR0(%a6),%a0
bra.b fintrz_norm
#
# Zero:
#
fintrz_zero:
tst.b SRC_EX(%a0) # is ZERO negative?
bmi.b fintrz_zero_m # yes
fintrz_zero_p:
fmov.s &0x00000000,%fp0 # return +ZERO in fp0
mov.b &z_bmask,FPSR_CC(%a6) # set 'Z' ccode bit
rts
fintrz_zero_m:
fmov.s &0x80000000,%fp0 # return -ZERO in fp0
mov.b &z_bmask+neg_bmask,FPSR_CC(%a6) # set 'Z','N' ccode bits
rts
#
# Infinity:
#
fintrz_inf:
fmovm.x SRC(%a0),&0x80 # return result in fp0
tst.b SRC_EX(%a0) # is INF negative?
bmi.b fintrz_inf_m # yes
fintrz_inf_p:
mov.b &inf_bmask,FPSR_CC(%a6) # set 'I' ccode bit
rts
fintrz_inf_m:
mov.b &inf_bmask+neg_bmask,FPSR_CC(%a6) # set 'N','I' ccode bits
rts
#########################################################################
# XDEF **************************************************************** #
# fabs(): emulates the fabs instruction #
# fsabs(): emulates the fsabs instruction #
# fdabs(): emulates the fdabs instruction #
# #
# XREF **************************************************************** #
# norm() - normalize denorm mantissa to provide EXOP #
# scale_to_zero_src() - make exponent. = 0; get scale factor #
# unf_res() - calculate underflow result #
# ovf_res() - calculate overflow result #
# res_{s,q}nan_1op() - set NAN result for monadic operation #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# d0 = rnd precision/mode #
# #
# OUTPUT ************************************************************** #
# fp0 = result #
# fp1 = EXOP (if exception occurred) #
# #
# ALGORITHM *********************************************************** #
# Handle NANs, infinities, and zeroes as special cases. Divide #
# norms into extended, single, and double precision. #
# Simply clear sign for extended precision norm. Ext prec denorm #
# gets an EXOP created for it since it's an underflow. #
# Double and single precision can overflow and underflow. First, #
# scale the operand such that the exponent is zero. Perform an "fabs" #
# using the correct rnd mode/prec. Check to see if the original #
# exponent would take an exception. If so, use unf_res() or ovf_res() #
# to calculate the default result. Also, create the EXOP for the #
# exceptional case. If no exception should occur, insert the correct #
# result exponent and return. #
# Unnorms don't pass through here. #
# #
#########################################################################
global fsabs
fsabs:
andi.b &0x30,%d0 # clear rnd prec
ori.b &s_mode*0x10,%d0 # insert sgl precision
bra.b fabs
global fdabs
fdabs:
andi.b &0x30,%d0 # clear rnd prec
ori.b &d_mode*0x10,%d0 # insert dbl precision
global fabs
fabs:
mov.l %d0,L_SCR3(%a6) # store rnd info
mov.b STAG(%a6),%d1
bne.w fabs_not_norm # optimize on non-norm input
#
# ABSOLUTE VALUE: norms and denorms ONLY!
#
fabs_norm:
andi.b &0xc0,%d0 # is precision extended?
bne.b fabs_not_ext # no; go handle sgl or dbl
#
# precision selected is extended. so...we can not get an underflow
# or overflow because of rounding to the correct precision. so...
# skip the scaling and unscaling...
#
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
mov.w SRC_EX(%a0),%d1
bclr &15,%d1 # force absolute value
mov.w %d1,FP_SCR0_EX(%a6) # insert exponent
fmovm.x FP_SCR0(%a6),&0x80 # return result in fp0
rts
#
# for an extended precision DENORM, the UNFL exception bit is set
# the accrued bit is NOT set in this instance(no inexactness!)
#
fabs_denorm:
andi.b &0xc0,%d0 # is precision extended?
bne.b fabs_not_ext # no
bset &unfl_bit,FPSR_EXCEPT(%a6) # set unfl exc bit
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
mov.w SRC_EX(%a0),%d0
bclr &15,%d0 # clear sign
mov.w %d0,FP_SCR0_EX(%a6) # insert exponent
fmovm.x FP_SCR0(%a6),&0x80 # return default result in fp0
btst &unfl_bit,FPCR_ENABLE(%a6) # is UNFL enabled?
bne.b fabs_ext_unfl_ena
rts
#
# the input is an extended DENORM and underflow is enabled in the FPCR.
# normalize the mantissa and add the bias of 0x6000 to the resulting negative
# exponent and insert back into the operand.
#
fabs_ext_unfl_ena:
lea FP_SCR0(%a6),%a0 # pass: ptr to operand
bsr.l norm # normalize result
neg.w %d0 # new exponent = -(shft val)
addi.w &0x6000,%d0 # add new bias to exponent
mov.w FP_SCR0_EX(%a6),%d1 # fetch old sign,exp
andi.w &0x8000,%d1 # keep old sign
andi.w &0x7fff,%d0 # clear sign position
or.w %d1,%d0 # concat old sign, new exponent
mov.w %d0,FP_SCR0_EX(%a6) # insert new exponent
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
rts
#
# operand is either single or double
#
fabs_not_ext:
cmpi.b %d0,&s_mode*0x10 # separate sgl/dbl prec
bne.b fabs_dbl
#
# operand is to be rounded to single precision
#
fabs_sgl:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_to_zero_src # calculate scale factor
cmpi.l %d0,&0x3fff-0x3f80 # will move in underflow?
bge.w fabs_sd_unfl # yes; go handle underflow
cmpi.l %d0,&0x3fff-0x407e # will move in overflow?
beq.w fabs_sd_may_ovfl # maybe; go check
blt.w fabs_sd_ovfl # yes; go handle overflow
#
# operand will NOT overflow or underflow when moved in to the fp reg file
#
fabs_sd_normal:
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fabs.x FP_SCR0(%a6),%fp0 # perform absolute
fmov.l %fpsr,%d1 # save FPSR
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fabs_sd_normal_exit:
mov.l %d2,-(%sp) # save d2
fmovm.x &0x80,FP_SCR0(%a6) # store out result
mov.w FP_SCR0_EX(%a6),%d1 # load sgn,exp
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
sub.l %d0,%d1 # add scale factor
andi.w &0x8000,%d2 # keep old sign
or.w %d1,%d2 # concat old sign,new exp
mov.w %d2,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x80 # return result in fp0
rts
#
# operand is to be rounded to double precision
#
fabs_dbl:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_to_zero_src # calculate scale factor
cmpi.l %d0,&0x3fff-0x3c00 # will move in underflow?
bge.b fabs_sd_unfl # yes; go handle underflow
cmpi.l %d0,&0x3fff-0x43fe # will move in overflow?
beq.w fabs_sd_may_ovfl # maybe; go check
blt.w fabs_sd_ovfl # yes; go handle overflow
bra.w fabs_sd_normal # no; ho handle normalized op
#
# operand WILL underflow when moved in to the fp register file
#
fabs_sd_unfl:
bset &unfl_bit,FPSR_EXCEPT(%a6) # set unfl exc bit
bclr &0x7,FP_SCR0_EX(%a6) # force absolute value
# if underflow or inexact is enabled, go calculate EXOP first.
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0b,%d1 # is UNFL or INEX enabled?
bne.b fabs_sd_unfl_ena # yes
fabs_sd_unfl_dis:
lea FP_SCR0(%a6),%a0 # pass: result addr
mov.l L_SCR3(%a6),%d1 # pass: rnd prec,mode
bsr.l unf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # set possible 'Z' ccode
fmovm.x FP_SCR0(%a6),&0x80 # return default result in fp0
rts
#
# operand will underflow AND underflow is enabled.
# Therefore, we must return the result rounded to extended precision.
#
fabs_sd_unfl_ena:
mov.l FP_SCR0_HI(%a6),FP_SCR1_HI(%a6)
mov.l FP_SCR0_LO(%a6),FP_SCR1_LO(%a6)
mov.w FP_SCR0_EX(%a6),%d1 # load current exponent
mov.l %d2,-(%sp) # save d2
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # subtract scale factor
addi.l &0x6000,%d1 # add new bias
andi.w &0x7fff,%d1
or.w %d2,%d1 # concat new sign,new exp
mov.w %d1,FP_SCR1_EX(%a6) # insert new exp
fmovm.x FP_SCR1(%a6),&0x40 # return EXOP in fp1
mov.l (%sp)+,%d2 # restore d2
bra.b fabs_sd_unfl_dis
#
# operand WILL overflow.
#
fabs_sd_ovfl:
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fabs.x FP_SCR0(%a6),%fp0 # perform absolute
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d1 # save FPSR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fabs_sd_ovfl_tst:
or.l &ovfl_inx_mask,USER_FPSR(%a6) # set ovfl/aovfl/ainex
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x13,%d1 # is OVFL or INEX enabled?
bne.b fabs_sd_ovfl_ena # yes
#
# OVFL is not enabled; therefore, we must create the default result by
# calling ovf_res().
#
fabs_sd_ovfl_dis:
btst &neg_bit,FPSR_CC(%a6) # is result negative?
sne %d1 # set sign param accordingly
mov.l L_SCR3(%a6),%d0 # pass: prec,mode
bsr.l ovf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # set INF,N if applicable
fmovm.x (%a0),&0x80 # return default result in fp0
rts
#
# OVFL is enabled.
# the INEX2 bit has already been updated by the round to the correct precision.
# now, round to extended(and don't alter the FPSR).
#
fabs_sd_ovfl_ena:
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
subi.l &0x6000,%d1 # subtract bias
andi.w &0x7fff,%d1
or.w %d2,%d1 # concat sign,exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
mov.l (%sp)+,%d2 # restore d2
bra.b fabs_sd_ovfl_dis
#
# the move in MAY underflow. so...
#
fabs_sd_may_ovfl:
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fabs.x FP_SCR0(%a6),%fp0 # perform absolute
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fabs.x %fp0,%fp1 # make a copy of result
fcmp.b %fp1,&0x2 # is |result| >= 2.b?
fbge.w fabs_sd_ovfl_tst # yes; overflow has occurred
# no, it didn't overflow; we have correct result
bra.w fabs_sd_normal_exit
##########################################################################
#
# input is not normalized; what is it?
#
fabs_not_norm:
cmpi.b %d1,&DENORM # weed out DENORM
beq.w fabs_denorm
cmpi.b %d1,&SNAN # weed out SNAN
beq.l res_snan_1op
cmpi.b %d1,&QNAN # weed out QNAN
beq.l res_qnan_1op
fabs.x SRC(%a0),%fp0 # force absolute value
cmpi.b %d1,&INF # weed out INF
beq.b fabs_inf
fabs_zero:
mov.b &z_bmask,FPSR_CC(%a6) # set 'Z' ccode bit
rts
fabs_inf:
mov.b &inf_bmask,FPSR_CC(%a6) # set 'I' ccode bit
rts
#########################################################################
# XDEF **************************************************************** #
# fcmp(): fp compare op routine #
# #
# XREF **************************************************************** #
# res_qnan() - return QNAN result #
# res_snan() - return SNAN result #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# a1 = pointer to extended precision destination operand #
# d0 = round prec/mode #
# #
# OUTPUT ************************************************************** #
# None #
# #
# ALGORITHM *********************************************************** #
# Handle NANs and denorms as special cases. For everything else, #
# just use the actual fcmp instruction to produce the correct condition #
# codes. #
# #
#########################################################################
global fcmp
fcmp:
clr.w %d1
mov.b DTAG(%a6),%d1
lsl.b &0x3,%d1
or.b STAG(%a6),%d1
bne.b fcmp_not_norm # optimize on non-norm input
#
# COMPARE FP OPs : NORMs, ZEROs, INFs, and "corrected" DENORMs
#
fcmp_norm:
fmovm.x DST(%a1),&0x80 # load dst op
fcmp.x %fp0,SRC(%a0) # do compare
fmov.l %fpsr,%d0 # save FPSR
rol.l &0x8,%d0 # extract ccode bits
mov.b %d0,FPSR_CC(%a6) # set ccode bits(no exc bits are set)
rts
#
# fcmp: inputs are not both normalized; what are they?
#
fcmp_not_norm:
mov.w (tbl_fcmp_op.b,%pc,%d1.w*2),%d1
jmp (tbl_fcmp_op.b,%pc,%d1.w*1)
swbeg &48
tbl_fcmp_op:
short fcmp_norm - tbl_fcmp_op # NORM - NORM
short fcmp_norm - tbl_fcmp_op # NORM - ZERO
short fcmp_norm - tbl_fcmp_op # NORM - INF
short fcmp_res_qnan - tbl_fcmp_op # NORM - QNAN
short fcmp_nrm_dnrm - tbl_fcmp_op # NORM - DENORM
short fcmp_res_snan - tbl_fcmp_op # NORM - SNAN
short tbl_fcmp_op - tbl_fcmp_op #
short tbl_fcmp_op - tbl_fcmp_op #
short fcmp_norm - tbl_fcmp_op # ZERO - NORM
short fcmp_norm - tbl_fcmp_op # ZERO - ZERO
short fcmp_norm - tbl_fcmp_op # ZERO - INF
short fcmp_res_qnan - tbl_fcmp_op # ZERO - QNAN
short fcmp_dnrm_s - tbl_fcmp_op # ZERO - DENORM
short fcmp_res_snan - tbl_fcmp_op # ZERO - SNAN
short tbl_fcmp_op - tbl_fcmp_op #
short tbl_fcmp_op - tbl_fcmp_op #
short fcmp_norm - tbl_fcmp_op # INF - NORM
short fcmp_norm - tbl_fcmp_op # INF - ZERO
short fcmp_norm - tbl_fcmp_op # INF - INF
short fcmp_res_qnan - tbl_fcmp_op # INF - QNAN
short fcmp_dnrm_s - tbl_fcmp_op # INF - DENORM
short fcmp_res_snan - tbl_fcmp_op # INF - SNAN
short tbl_fcmp_op - tbl_fcmp_op #
short tbl_fcmp_op - tbl_fcmp_op #
short fcmp_res_qnan - tbl_fcmp_op # QNAN - NORM
short fcmp_res_qnan - tbl_fcmp_op # QNAN - ZERO
short fcmp_res_qnan - tbl_fcmp_op # QNAN - INF
short fcmp_res_qnan - tbl_fcmp_op # QNAN - QNAN
short fcmp_res_qnan - tbl_fcmp_op # QNAN - DENORM
short fcmp_res_snan - tbl_fcmp_op # QNAN - SNAN
short tbl_fcmp_op - tbl_fcmp_op #
short tbl_fcmp_op - tbl_fcmp_op #
short fcmp_dnrm_nrm - tbl_fcmp_op # DENORM - NORM
short fcmp_dnrm_d - tbl_fcmp_op # DENORM - ZERO
short fcmp_dnrm_d - tbl_fcmp_op # DENORM - INF
short fcmp_res_qnan - tbl_fcmp_op # DENORM - QNAN
short fcmp_dnrm_sd - tbl_fcmp_op # DENORM - DENORM
short fcmp_res_snan - tbl_fcmp_op # DENORM - SNAN
short tbl_fcmp_op - tbl_fcmp_op #
short tbl_fcmp_op - tbl_fcmp_op #
short fcmp_res_snan - tbl_fcmp_op # SNAN - NORM
short fcmp_res_snan - tbl_fcmp_op # SNAN - ZERO
short fcmp_res_snan - tbl_fcmp_op # SNAN - INF
short fcmp_res_snan - tbl_fcmp_op # SNAN - QNAN
short fcmp_res_snan - tbl_fcmp_op # SNAN - DENORM
short fcmp_res_snan - tbl_fcmp_op # SNAN - SNAN
short tbl_fcmp_op - tbl_fcmp_op #
short tbl_fcmp_op - tbl_fcmp_op #
# unlike all other functions for QNAN and SNAN, fcmp does NOT set the
# 'N' bit for a negative QNAN or SNAN input so we must squelch it here.
fcmp_res_qnan:
bsr.l res_qnan
andi.b &0xf7,FPSR_CC(%a6)
rts
fcmp_res_snan:
bsr.l res_snan
andi.b &0xf7,FPSR_CC(%a6)
rts
#
# DENORMs are a little more difficult.
# If you have a 2 DENORMs, then you can just force the j-bit to a one
# and use the fcmp_norm routine.
# If you have a DENORM and an INF or ZERO, just force the DENORM's j-bit to a one
# and use the fcmp_norm routine.
# If you have a DENORM and a NORM with opposite signs, then use fcmp_norm, also.
# But with a DENORM and a NORM of the same sign, the neg bit is set if the
# (1) signs are (+) and the DENORM is the dst or
# (2) signs are (-) and the DENORM is the src
#
fcmp_dnrm_s:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),%d0
bset &31,%d0 # DENORM src; make into small norm
mov.l %d0,FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
lea FP_SCR0(%a6),%a0
bra.w fcmp_norm
fcmp_dnrm_d:
mov.l DST_EX(%a1),FP_SCR0_EX(%a6)
mov.l DST_HI(%a1),%d0
bset &31,%d0 # DENORM src; make into small norm
mov.l %d0,FP_SCR0_HI(%a6)
mov.l DST_LO(%a1),FP_SCR0_LO(%a6)
lea FP_SCR0(%a6),%a1
bra.w fcmp_norm
fcmp_dnrm_sd:
mov.w DST_EX(%a1),FP_SCR1_EX(%a6)
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l DST_HI(%a1),%d0
bset &31,%d0 # DENORM dst; make into small norm
mov.l %d0,FP_SCR1_HI(%a6)
mov.l SRC_HI(%a0),%d0
bset &31,%d0 # DENORM dst; make into small norm
mov.l %d0,FP_SCR0_HI(%a6)
mov.l DST_LO(%a1),FP_SCR1_LO(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
lea FP_SCR1(%a6),%a1
lea FP_SCR0(%a6),%a0
bra.w fcmp_norm
fcmp_nrm_dnrm:
mov.b SRC_EX(%a0),%d0 # determine if like signs
mov.b DST_EX(%a1),%d1
eor.b %d0,%d1
bmi.w fcmp_dnrm_s
# signs are the same, so must determine the answer ourselves.
tst.b %d0 # is src op negative?
bmi.b fcmp_nrm_dnrm_m # yes
rts
fcmp_nrm_dnrm_m:
mov.b &neg_bmask,FPSR_CC(%a6) # set 'Z' ccode bit
rts
fcmp_dnrm_nrm:
mov.b SRC_EX(%a0),%d0 # determine if like signs
mov.b DST_EX(%a1),%d1
eor.b %d0,%d1
bmi.w fcmp_dnrm_d
# signs are the same, so must determine the answer ourselves.
tst.b %d0 # is src op negative?
bpl.b fcmp_dnrm_nrm_m # no
rts
fcmp_dnrm_nrm_m:
mov.b &neg_bmask,FPSR_CC(%a6) # set 'Z' ccode bit
rts
#########################################################################
# XDEF **************************************************************** #
# fsglmul(): emulates the fsglmul instruction #
# #
# XREF **************************************************************** #
# scale_to_zero_src() - scale src exponent to zero #
# scale_to_zero_dst() - scale dst exponent to zero #
# unf_res4() - return default underflow result for sglop #
# ovf_res() - return default overflow result #
# res_qnan() - return QNAN result #
# res_snan() - return SNAN result #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# a1 = pointer to extended precision destination operand #
# d0 rnd prec,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = result #
# fp1 = EXOP (if exception occurred) #
# #
# ALGORITHM *********************************************************** #
# Handle NANs, infinities, and zeroes as special cases. Divide #
# norms/denorms into ext/sgl/dbl precision. #
# For norms/denorms, scale the exponents such that a multiply #
# instruction won't cause an exception. Use the regular fsglmul to #
# compute a result. Check if the regular operands would have taken #
# an exception. If so, return the default overflow/underflow result #
# and return the EXOP if exceptions are enabled. Else, scale the #
# result operand to the proper exponent. #
# #
#########################################################################
global fsglmul
fsglmul:
mov.l %d0,L_SCR3(%a6) # store rnd info
clr.w %d1
mov.b DTAG(%a6),%d1
lsl.b &0x3,%d1
or.b STAG(%a6),%d1
bne.w fsglmul_not_norm # optimize on non-norm input
fsglmul_norm:
mov.w DST_EX(%a1),FP_SCR1_EX(%a6)
mov.l DST_HI(%a1),FP_SCR1_HI(%a6)
mov.l DST_LO(%a1),FP_SCR1_LO(%a6)
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_to_zero_src # scale exponent
mov.l %d0,-(%sp) # save scale factor 1
bsr.l scale_to_zero_dst # scale dst exponent
add.l (%sp)+,%d0 # SCALE_FACTOR = scale1 + scale2
cmpi.l %d0,&0x3fff-0x7ffe # would result ovfl?
beq.w fsglmul_may_ovfl # result may rnd to overflow
blt.w fsglmul_ovfl # result will overflow
cmpi.l %d0,&0x3fff+0x0001 # would result unfl?
beq.w fsglmul_may_unfl # result may rnd to no unfl
bgt.w fsglmul_unfl # result will underflow
fsglmul_normal:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsglmul.x FP_SCR0(%a6),%fp0 # execute sgl multiply
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fsglmul_normal_exit:
fmovm.x &0x80,FP_SCR0(%a6) # store out result
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # load {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
or.w %d2,%d1 # concat old sign,new exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x80 # return result in fp0
rts
fsglmul_ovfl:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsglmul.x FP_SCR0(%a6),%fp0 # execute sgl multiply
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fsglmul_ovfl_tst:
# save setting this until now because this is where fsglmul_may_ovfl may jump in
or.l &ovfl_inx_mask, USER_FPSR(%a6) # set ovfl/aovfl/ainex
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x13,%d1 # is OVFL or INEX enabled?
bne.b fsglmul_ovfl_ena # yes
fsglmul_ovfl_dis:
btst &neg_bit,FPSR_CC(%a6) # is result negative?
sne %d1 # set sign param accordingly
mov.l L_SCR3(%a6),%d0 # pass prec:rnd
andi.b &0x30,%d0 # force prec = ext
bsr.l ovf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # set INF,N if applicable
fmovm.x (%a0),&0x80 # return default result in fp0
rts
fsglmul_ovfl_ena:
fmovm.x &0x80,FP_SCR0(%a6) # move result to stack
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
sub.l %d0,%d1 # add scale factor
subi.l &0x6000,%d1 # subtract bias
andi.w &0x7fff,%d1
andi.w &0x8000,%d2 # keep old sign
or.w %d2,%d1 # concat old sign,new exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
bra.b fsglmul_ovfl_dis
fsglmul_may_ovfl:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsglmul.x FP_SCR0(%a6),%fp0 # execute sgl multiply
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fabs.x %fp0,%fp1 # make a copy of result
fcmp.b %fp1,&0x2 # is |result| >= 2.b?
fbge.w fsglmul_ovfl_tst # yes; overflow has occurred
# no, it didn't overflow; we have correct result
bra.w fsglmul_normal_exit
fsglmul_unfl:
bset &unfl_bit,FPSR_EXCEPT(%a6) # set unfl exc bit
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l &rz_mode*0x10,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsglmul.x FP_SCR0(%a6),%fp0 # execute sgl multiply
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0b,%d1 # is UNFL or INEX enabled?
bne.b fsglmul_unfl_ena # yes
fsglmul_unfl_dis:
fmovm.x &0x80,FP_SCR0(%a6) # store out result
lea FP_SCR0(%a6),%a0 # pass: result addr
mov.l L_SCR3(%a6),%d1 # pass: rnd prec,mode
bsr.l unf_res4 # calculate default result
or.b %d0,FPSR_CC(%a6) # 'Z' bit may have been set
fmovm.x FP_SCR0(%a6),&0x80 # return default result in fp0
rts
#
# UNFL is enabled.
#
fsglmul_unfl_ena:
fmovm.x FP_SCR1(%a6),&0x40 # load dst op
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsglmul.x FP_SCR0(%a6),%fp1 # execute sgl multiply
fmov.l &0x0,%fpcr # clear FPCR
fmovm.x &0x40,FP_SCR0(%a6) # save result to stack
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
addi.l &0x6000,%d1 # add bias
andi.w &0x7fff,%d1
or.w %d2,%d1 # concat old sign,new exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
bra.w fsglmul_unfl_dis
fsglmul_may_unfl:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsglmul.x FP_SCR0(%a6),%fp0 # execute sgl multiply
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fabs.x %fp0,%fp1 # make a copy of result
fcmp.b %fp1,&0x2 # is |result| > 2.b?
fbgt.w fsglmul_normal_exit # no; no underflow occurred
fblt.w fsglmul_unfl # yes; underflow occurred
#
# we still don't know if underflow occurred. result is ~ equal to 2. but,
# we don't know if the result was an underflow that rounded up to a 2 or
# a normalized number that rounded down to a 2. so, redo the entire operation
# using RZ as the rounding mode to see what the pre-rounded result is.
# this case should be relatively rare.
#
fmovm.x FP_SCR1(%a6),&0x40 # load dst op into fp1
mov.l L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # keep rnd prec
ori.b &rz_mode*0x10,%d1 # insert RZ
fmov.l %d1,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsglmul.x FP_SCR0(%a6),%fp1 # execute sgl multiply
fmov.l &0x0,%fpcr # clear FPCR
fabs.x %fp1 # make absolute value
fcmp.b %fp1,&0x2 # is |result| < 2.b?
fbge.w fsglmul_normal_exit # no; no underflow occurred
bra.w fsglmul_unfl # yes, underflow occurred
##############################################################################
#
# Single Precision Multiply: inputs are not both normalized; what are they?
#
fsglmul_not_norm:
mov.w (tbl_fsglmul_op.b,%pc,%d1.w*2),%d1
jmp (tbl_fsglmul_op.b,%pc,%d1.w*1)
swbeg &48
tbl_fsglmul_op:
short fsglmul_norm - tbl_fsglmul_op # NORM x NORM
short fsglmul_zero - tbl_fsglmul_op # NORM x ZERO
short fsglmul_inf_src - tbl_fsglmul_op # NORM x INF
short fsglmul_res_qnan - tbl_fsglmul_op # NORM x QNAN
short fsglmul_norm - tbl_fsglmul_op # NORM x DENORM
short fsglmul_res_snan - tbl_fsglmul_op # NORM x SNAN
short tbl_fsglmul_op - tbl_fsglmul_op #
short tbl_fsglmul_op - tbl_fsglmul_op #
short fsglmul_zero - tbl_fsglmul_op # ZERO x NORM
short fsglmul_zero - tbl_fsglmul_op # ZERO x ZERO
short fsglmul_res_operr - tbl_fsglmul_op # ZERO x INF
short fsglmul_res_qnan - tbl_fsglmul_op # ZERO x QNAN
short fsglmul_zero - tbl_fsglmul_op # ZERO x DENORM
short fsglmul_res_snan - tbl_fsglmul_op # ZERO x SNAN
short tbl_fsglmul_op - tbl_fsglmul_op #
short tbl_fsglmul_op - tbl_fsglmul_op #
short fsglmul_inf_dst - tbl_fsglmul_op # INF x NORM
short fsglmul_res_operr - tbl_fsglmul_op # INF x ZERO
short fsglmul_inf_dst - tbl_fsglmul_op # INF x INF
short fsglmul_res_qnan - tbl_fsglmul_op # INF x QNAN
short fsglmul_inf_dst - tbl_fsglmul_op # INF x DENORM
short fsglmul_res_snan - tbl_fsglmul_op # INF x SNAN
short tbl_fsglmul_op - tbl_fsglmul_op #
short tbl_fsglmul_op - tbl_fsglmul_op #
short fsglmul_res_qnan - tbl_fsglmul_op # QNAN x NORM
short fsglmul_res_qnan - tbl_fsglmul_op # QNAN x ZERO
short fsglmul_res_qnan - tbl_fsglmul_op # QNAN x INF
short fsglmul_res_qnan - tbl_fsglmul_op # QNAN x QNAN
short fsglmul_res_qnan - tbl_fsglmul_op # QNAN x DENORM
short fsglmul_res_snan - tbl_fsglmul_op # QNAN x SNAN
short tbl_fsglmul_op - tbl_fsglmul_op #
short tbl_fsglmul_op - tbl_fsglmul_op #
short fsglmul_norm - tbl_fsglmul_op # NORM x NORM
short fsglmul_zero - tbl_fsglmul_op # NORM x ZERO
short fsglmul_inf_src - tbl_fsglmul_op # NORM x INF
short fsglmul_res_qnan - tbl_fsglmul_op # NORM x QNAN
short fsglmul_norm - tbl_fsglmul_op # NORM x DENORM
short fsglmul_res_snan - tbl_fsglmul_op # NORM x SNAN
short tbl_fsglmul_op - tbl_fsglmul_op #
short tbl_fsglmul_op - tbl_fsglmul_op #
short fsglmul_res_snan - tbl_fsglmul_op # SNAN x NORM
short fsglmul_res_snan - tbl_fsglmul_op # SNAN x ZERO
short fsglmul_res_snan - tbl_fsglmul_op # SNAN x INF
short fsglmul_res_snan - tbl_fsglmul_op # SNAN x QNAN
short fsglmul_res_snan - tbl_fsglmul_op # SNAN x DENORM
short fsglmul_res_snan - tbl_fsglmul_op # SNAN x SNAN
short tbl_fsglmul_op - tbl_fsglmul_op #
short tbl_fsglmul_op - tbl_fsglmul_op #
fsglmul_res_operr:
bra.l res_operr
fsglmul_res_snan:
bra.l res_snan
fsglmul_res_qnan:
bra.l res_qnan
fsglmul_zero:
bra.l fmul_zero
fsglmul_inf_src:
bra.l fmul_inf_src
fsglmul_inf_dst:
bra.l fmul_inf_dst
#########################################################################
# XDEF **************************************************************** #
# fsgldiv(): emulates the fsgldiv instruction #
# #
# XREF **************************************************************** #
# scale_to_zero_src() - scale src exponent to zero #
# scale_to_zero_dst() - scale dst exponent to zero #
# unf_res4() - return default underflow result for sglop #
# ovf_res() - return default overflow result #
# res_qnan() - return QNAN result #
# res_snan() - return SNAN result #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# a1 = pointer to extended precision destination operand #
# d0 rnd prec,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = result #
# fp1 = EXOP (if exception occurred) #
# #
# ALGORITHM *********************************************************** #
# Handle NANs, infinities, and zeroes as special cases. Divide #
# norms/denorms into ext/sgl/dbl precision. #
# For norms/denorms, scale the exponents such that a divide #
# instruction won't cause an exception. Use the regular fsgldiv to #
# compute a result. Check if the regular operands would have taken #
# an exception. If so, return the default overflow/underflow result #
# and return the EXOP if exceptions are enabled. Else, scale the #
# result operand to the proper exponent. #
# #
#########################################################################
global fsgldiv
fsgldiv:
mov.l %d0,L_SCR3(%a6) # store rnd info
clr.w %d1
mov.b DTAG(%a6),%d1
lsl.b &0x3,%d1
or.b STAG(%a6),%d1 # combine src tags
bne.w fsgldiv_not_norm # optimize on non-norm input
#
# DIVIDE: NORMs and DENORMs ONLY!
#
fsgldiv_norm:
mov.w DST_EX(%a1),FP_SCR1_EX(%a6)
mov.l DST_HI(%a1),FP_SCR1_HI(%a6)
mov.l DST_LO(%a1),FP_SCR1_LO(%a6)
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_to_zero_src # calculate scale factor 1
mov.l %d0,-(%sp) # save scale factor 1
bsr.l scale_to_zero_dst # calculate scale factor 2
neg.l (%sp) # S.F. = scale1 - scale2
add.l %d0,(%sp)
mov.w 2+L_SCR3(%a6),%d1 # fetch precision,mode
lsr.b &0x6,%d1
mov.l (%sp)+,%d0
cmpi.l %d0,&0x3fff-0x7ffe
ble.w fsgldiv_may_ovfl
cmpi.l %d0,&0x3fff-0x0000 # will result underflow?
beq.w fsgldiv_may_unfl # maybe
bgt.w fsgldiv_unfl # yes; go handle underflow
fsgldiv_normal:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l L_SCR3(%a6),%fpcr # save FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsgldiv.x FP_SCR0(%a6),%fp0 # perform sgl divide
fmov.l %fpsr,%d1 # save FPSR
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fsgldiv_normal_exit:
fmovm.x &0x80,FP_SCR0(%a6) # store result on stack
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # load {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
or.w %d2,%d1 # concat old sign,new exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x80 # return result in fp0
rts
fsgldiv_may_ovfl:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # set FPSR
fsgldiv.x FP_SCR0(%a6),%fp0 # execute divide
fmov.l %fpsr,%d1
fmov.l &0x0,%fpcr
or.l %d1,USER_FPSR(%a6) # save INEX,N
fmovm.x &0x01,-(%sp) # save result to stack
mov.w (%sp),%d1 # fetch new exponent
add.l &0xc,%sp # clear result
andi.l &0x7fff,%d1 # strip sign
sub.l %d0,%d1 # add scale factor
cmp.l %d1,&0x7fff # did divide overflow?
blt.b fsgldiv_normal_exit
fsgldiv_ovfl_tst:
or.w &ovfl_inx_mask,2+USER_FPSR(%a6) # set ovfl/aovfl/ainex
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x13,%d1 # is OVFL or INEX enabled?
bne.b fsgldiv_ovfl_ena # yes
fsgldiv_ovfl_dis:
btst &neg_bit,FPSR_CC(%a6) # is result negative
sne %d1 # set sign param accordingly
mov.l L_SCR3(%a6),%d0 # pass prec:rnd
andi.b &0x30,%d0 # kill precision
bsr.l ovf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # set INF if applicable
fmovm.x (%a0),&0x80 # return default result in fp0
rts
fsgldiv_ovfl_ena:
fmovm.x &0x80,FP_SCR0(%a6) # move result to stack
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
subi.l &0x6000,%d1 # subtract new bias
andi.w &0x7fff,%d1 # clear ms bit
or.w %d2,%d1 # concat old sign,new exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
bra.b fsgldiv_ovfl_dis
fsgldiv_unfl:
bset &unfl_bit,FPSR_EXCEPT(%a6) # set unfl exc bit
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l &rz_mode*0x10,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsgldiv.x FP_SCR0(%a6),%fp0 # execute sgl divide
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0b,%d1 # is UNFL or INEX enabled?
bne.b fsgldiv_unfl_ena # yes
fsgldiv_unfl_dis:
fmovm.x &0x80,FP_SCR0(%a6) # store out result
lea FP_SCR0(%a6),%a0 # pass: result addr
mov.l L_SCR3(%a6),%d1 # pass: rnd prec,mode
bsr.l unf_res4 # calculate default result
or.b %d0,FPSR_CC(%a6) # 'Z' bit may have been set
fmovm.x FP_SCR0(%a6),&0x80 # return default result in fp0
rts
#
# UNFL is enabled.
#
fsgldiv_unfl_ena:
fmovm.x FP_SCR1(%a6),&0x40 # load dst op
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsgldiv.x FP_SCR0(%a6),%fp1 # execute sgl divide
fmov.l &0x0,%fpcr # clear FPCR
fmovm.x &0x40,FP_SCR0(%a6) # save result to stack
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
addi.l &0x6000,%d1 # add bias
andi.w &0x7fff,%d1 # clear top bit
or.w %d2,%d1 # concat old sign, new exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
bra.b fsgldiv_unfl_dis
#
# the divide operation MAY underflow:
#
fsgldiv_may_unfl:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsgldiv.x FP_SCR0(%a6),%fp0 # execute sgl divide
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fabs.x %fp0,%fp1 # make a copy of result
fcmp.b %fp1,&0x1 # is |result| > 1.b?
fbgt.w fsgldiv_normal_exit # no; no underflow occurred
fblt.w fsgldiv_unfl # yes; underflow occurred
#
# we still don't know if underflow occurred. result is ~ equal to 1. but,
# we don't know if the result was an underflow that rounded up to a 1
# or a normalized number that rounded down to a 1. so, redo the entire
# operation using RZ as the rounding mode to see what the pre-rounded
# result is. this case should be relatively rare.
#
fmovm.x FP_SCR1(%a6),&0x40 # load dst op into %fp1
clr.l %d1 # clear scratch register
ori.b &rz_mode*0x10,%d1 # force RZ rnd mode
fmov.l %d1,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsgldiv.x FP_SCR0(%a6),%fp1 # execute sgl divide
fmov.l &0x0,%fpcr # clear FPCR
fabs.x %fp1 # make absolute value
fcmp.b %fp1,&0x1 # is |result| < 1.b?
fbge.w fsgldiv_normal_exit # no; no underflow occurred
bra.w fsgldiv_unfl # yes; underflow occurred
############################################################################
#
# Divide: inputs are not both normalized; what are they?
#
fsgldiv_not_norm:
mov.w (tbl_fsgldiv_op.b,%pc,%d1.w*2),%d1
jmp (tbl_fsgldiv_op.b,%pc,%d1.w*1)
swbeg &48
tbl_fsgldiv_op:
short fsgldiv_norm - tbl_fsgldiv_op # NORM / NORM
short fsgldiv_inf_load - tbl_fsgldiv_op # NORM / ZERO
short fsgldiv_zero_load - tbl_fsgldiv_op # NORM / INF
short fsgldiv_res_qnan - tbl_fsgldiv_op # NORM / QNAN
short fsgldiv_norm - tbl_fsgldiv_op # NORM / DENORM
short fsgldiv_res_snan - tbl_fsgldiv_op # NORM / SNAN
short tbl_fsgldiv_op - tbl_fsgldiv_op #
short tbl_fsgldiv_op - tbl_fsgldiv_op #
short fsgldiv_zero_load - tbl_fsgldiv_op # ZERO / NORM
short fsgldiv_res_operr - tbl_fsgldiv_op # ZERO / ZERO
short fsgldiv_zero_load - tbl_fsgldiv_op # ZERO / INF
short fsgldiv_res_qnan - tbl_fsgldiv_op # ZERO / QNAN
short fsgldiv_zero_load - tbl_fsgldiv_op # ZERO / DENORM
short fsgldiv_res_snan - tbl_fsgldiv_op # ZERO / SNAN
short tbl_fsgldiv_op - tbl_fsgldiv_op #
short tbl_fsgldiv_op - tbl_fsgldiv_op #
short fsgldiv_inf_dst - tbl_fsgldiv_op # INF / NORM
short fsgldiv_inf_dst - tbl_fsgldiv_op # INF / ZERO
short fsgldiv_res_operr - tbl_fsgldiv_op # INF / INF
short fsgldiv_res_qnan - tbl_fsgldiv_op # INF / QNAN
short fsgldiv_inf_dst - tbl_fsgldiv_op # INF / DENORM
short fsgldiv_res_snan - tbl_fsgldiv_op # INF / SNAN
short tbl_fsgldiv_op - tbl_fsgldiv_op #
short tbl_fsgldiv_op - tbl_fsgldiv_op #
short fsgldiv_res_qnan - tbl_fsgldiv_op # QNAN / NORM
short fsgldiv_res_qnan - tbl_fsgldiv_op # QNAN / ZERO
short fsgldiv_res_qnan - tbl_fsgldiv_op # QNAN / INF
short fsgldiv_res_qnan - tbl_fsgldiv_op # QNAN / QNAN
short fsgldiv_res_qnan - tbl_fsgldiv_op # QNAN / DENORM
short fsgldiv_res_snan - tbl_fsgldiv_op # QNAN / SNAN
short tbl_fsgldiv_op - tbl_fsgldiv_op #
short tbl_fsgldiv_op - tbl_fsgldiv_op #
short fsgldiv_norm - tbl_fsgldiv_op # DENORM / NORM
short fsgldiv_inf_load - tbl_fsgldiv_op # DENORM / ZERO
short fsgldiv_zero_load - tbl_fsgldiv_op # DENORM / INF
short fsgldiv_res_qnan - tbl_fsgldiv_op # DENORM / QNAN
short fsgldiv_norm - tbl_fsgldiv_op # DENORM / DENORM
short fsgldiv_res_snan - tbl_fsgldiv_op # DENORM / SNAN
short tbl_fsgldiv_op - tbl_fsgldiv_op #
short tbl_fsgldiv_op - tbl_fsgldiv_op #
short fsgldiv_res_snan - tbl_fsgldiv_op # SNAN / NORM
short fsgldiv_res_snan - tbl_fsgldiv_op # SNAN / ZERO
short fsgldiv_res_snan - tbl_fsgldiv_op # SNAN / INF
short fsgldiv_res_snan - tbl_fsgldiv_op # SNAN / QNAN
short fsgldiv_res_snan - tbl_fsgldiv_op # SNAN / DENORM
short fsgldiv_res_snan - tbl_fsgldiv_op # SNAN / SNAN
short tbl_fsgldiv_op - tbl_fsgldiv_op #
short tbl_fsgldiv_op - tbl_fsgldiv_op #
fsgldiv_res_qnan:
bra.l res_qnan
fsgldiv_res_snan:
bra.l res_snan
fsgldiv_res_operr:
bra.l res_operr
fsgldiv_inf_load:
bra.l fdiv_inf_load
fsgldiv_zero_load:
bra.l fdiv_zero_load
fsgldiv_inf_dst:
bra.l fdiv_inf_dst
#########################################################################
# XDEF **************************************************************** #
# fadd(): emulates the fadd instruction #
# fsadd(): emulates the fadd instruction #
# fdadd(): emulates the fdadd instruction #
# #
# XREF **************************************************************** #
# addsub_scaler2() - scale the operands so they won't take exc #
# ovf_res() - return default overflow result #
# unf_res() - return default underflow result #
# res_qnan() - set QNAN result #
# res_snan() - set SNAN result #
# res_operr() - set OPERR result #
# scale_to_zero_src() - set src operand exponent equal to zero #
# scale_to_zero_dst() - set dst operand exponent equal to zero #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# a1 = pointer to extended precision destination operand #
# #
# OUTPUT ************************************************************** #
# fp0 = result #
# fp1 = EXOP (if exception occurred) #
# #
# ALGORITHM *********************************************************** #
# Handle NANs, infinities, and zeroes as special cases. Divide #
# norms into extended, single, and double precision. #
# Do addition after scaling exponents such that exception won't #
# occur. Then, check result exponent to see if exception would have #
# occurred. If so, return default result and maybe EXOP. Else, insert #
# the correct result exponent and return. Set FPSR bits as appropriate. #
# #
#########################################################################
global fsadd
fsadd:
andi.b &0x30,%d0 # clear rnd prec
ori.b &s_mode*0x10,%d0 # insert sgl prec
bra.b fadd
global fdadd
fdadd:
andi.b &0x30,%d0 # clear rnd prec
ori.b &d_mode*0x10,%d0 # insert dbl prec
global fadd
fadd:
mov.l %d0,L_SCR3(%a6) # store rnd info
clr.w %d1
mov.b DTAG(%a6),%d1
lsl.b &0x3,%d1
or.b STAG(%a6),%d1 # combine src tags
bne.w fadd_not_norm # optimize on non-norm input
#
# ADD: norms and denorms
#
fadd_norm:
bsr.l addsub_scaler2 # scale exponents
fadd_zero_entry:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fadd.x FP_SCR0(%a6),%fp0 # execute add
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d1 # fetch INEX2,N,Z
or.l %d1,USER_FPSR(%a6) # save exc and ccode bits
fbeq.w fadd_zero_exit # if result is zero, end now
mov.l %d2,-(%sp) # save d2
fmovm.x &0x01,-(%sp) # save result to stack
mov.w 2+L_SCR3(%a6),%d1
lsr.b &0x6,%d1
mov.w (%sp),%d2 # fetch new sign, exp
andi.l &0x7fff,%d2 # strip sign
sub.l %d0,%d2 # add scale factor
cmp.l %d2,(tbl_fadd_ovfl.b,%pc,%d1.w*4) # is it an overflow?
bge.b fadd_ovfl # yes
cmp.l %d2,(tbl_fadd_unfl.b,%pc,%d1.w*4) # is it an underflow?
blt.w fadd_unfl # yes
beq.w fadd_may_unfl # maybe; go find out
fadd_normal:
mov.w (%sp),%d1
andi.w &0x8000,%d1 # keep sign
or.w %d2,%d1 # concat sign,new exp
mov.w %d1,(%sp) # insert new exponent
fmovm.x (%sp)+,&0x80 # return result in fp0
mov.l (%sp)+,%d2 # restore d2
rts
fadd_zero_exit:
# fmov.s &0x00000000,%fp0 # return zero in fp0
rts
tbl_fadd_ovfl:
long 0x7fff # ext ovfl
long 0x407f # sgl ovfl
long 0x43ff # dbl ovfl
tbl_fadd_unfl:
long 0x0000 # ext unfl
long 0x3f81 # sgl unfl
long 0x3c01 # dbl unfl
fadd_ovfl:
or.l &ovfl_inx_mask,USER_FPSR(%a6) # set ovfl/aovfl/ainex
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x13,%d1 # is OVFL or INEX enabled?
bne.b fadd_ovfl_ena # yes
add.l &0xc,%sp
fadd_ovfl_dis:
btst &neg_bit,FPSR_CC(%a6) # is result negative?
sne %d1 # set sign param accordingly
mov.l L_SCR3(%a6),%d0 # pass prec:rnd
bsr.l ovf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # set INF,N if applicable
fmovm.x (%a0),&0x80 # return default result in fp0
mov.l (%sp)+,%d2 # restore d2
rts
fadd_ovfl_ena:
mov.b L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # is precision extended?
bne.b fadd_ovfl_ena_sd # no; prec = sgl or dbl
fadd_ovfl_ena_cont:
mov.w (%sp),%d1
andi.w &0x8000,%d1 # keep sign
subi.l &0x6000,%d2 # add extra bias
andi.w &0x7fff,%d2
or.w %d2,%d1 # concat sign,new exp
mov.w %d1,(%sp) # insert new exponent
fmovm.x (%sp)+,&0x40 # return EXOP in fp1
bra.b fadd_ovfl_dis
fadd_ovfl_ena_sd:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
mov.l L_SCR3(%a6),%d1
andi.b &0x30,%d1 # keep rnd mode
fmov.l %d1,%fpcr # set FPCR
fadd.x FP_SCR0(%a6),%fp0 # execute add
fmov.l &0x0,%fpcr # clear FPCR
add.l &0xc,%sp
fmovm.x &0x01,-(%sp)
bra.b fadd_ovfl_ena_cont
fadd_unfl:
bset &unfl_bit,FPSR_EXCEPT(%a6) # set unfl exc bit
add.l &0xc,%sp
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l &rz_mode*0x10,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fadd.x FP_SCR0(%a6),%fp0 # execute add
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d1 # save status
or.l %d1,USER_FPSR(%a6) # save INEX,N
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0b,%d1 # is UNFL or INEX enabled?
bne.b fadd_unfl_ena # yes
fadd_unfl_dis:
fmovm.x &0x80,FP_SCR0(%a6) # store out result
lea FP_SCR0(%a6),%a0 # pass: result addr
mov.l L_SCR3(%a6),%d1 # pass: rnd prec,mode
bsr.l unf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # 'Z' bit may have been set
fmovm.x FP_SCR0(%a6),&0x80 # return default result in fp0
mov.l (%sp)+,%d2 # restore d2
rts
fadd_unfl_ena:
fmovm.x FP_SCR1(%a6),&0x40 # load dst op
mov.l L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # is precision extended?
bne.b fadd_unfl_ena_sd # no; sgl or dbl
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fadd_unfl_ena_cont:
fmov.l &0x0,%fpsr # clear FPSR
fadd.x FP_SCR0(%a6),%fp1 # execute multiply
fmov.l &0x0,%fpcr # clear FPCR
fmovm.x &0x40,FP_SCR0(%a6) # save result to stack
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
addi.l &0x6000,%d1 # add new bias
andi.w &0x7fff,%d1 # clear top bit
or.w %d2,%d1 # concat sign,new exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
bra.w fadd_unfl_dis
fadd_unfl_ena_sd:
mov.l L_SCR3(%a6),%d1
andi.b &0x30,%d1 # use only rnd mode
fmov.l %d1,%fpcr # set FPCR
bra.b fadd_unfl_ena_cont
#
# result is equal to the smallest normalized number in the selected precision
# if the precision is extended, this result could not have come from an
# underflow that rounded up.
#
fadd_may_unfl:
mov.l L_SCR3(%a6),%d1
andi.b &0xc0,%d1
beq.w fadd_normal # yes; no underflow occurred
mov.l 0x4(%sp),%d1 # extract hi(man)
cmpi.l %d1,&0x80000000 # is hi(man) = 0x80000000?
bne.w fadd_normal # no; no underflow occurred
tst.l 0x8(%sp) # is lo(man) = 0x0?
bne.w fadd_normal # no; no underflow occurred
btst &inex2_bit,FPSR_EXCEPT(%a6) # is INEX2 set?
beq.w fadd_normal # no; no underflow occurred
#
# ok, so now the result has a exponent equal to the smallest normalized
# exponent for the selected precision. also, the mantissa is equal to
# 0x8000000000000000 and this mantissa is the result of rounding non-zero
# g,r,s.
# now, we must determine whether the pre-rounded result was an underflow
# rounded "up" or a normalized number rounded "down".
# so, we do this be re-executing the add using RZ as the rounding mode and
# seeing if the new result is smaller or equal to the current result.
#
fmovm.x FP_SCR1(%a6),&0x40 # load dst op into fp1
mov.l L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # keep rnd prec
ori.b &rz_mode*0x10,%d1 # insert rnd mode
fmov.l %d1,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fadd.x FP_SCR0(%a6),%fp1 # execute add
fmov.l &0x0,%fpcr # clear FPCR
fabs.x %fp0 # compare absolute values
fabs.x %fp1
fcmp.x %fp0,%fp1 # is first result > second?
fbgt.w fadd_unfl # yes; it's an underflow
bra.w fadd_normal # no; it's not an underflow
##########################################################################
#
# Add: inputs are not both normalized; what are they?
#
fadd_not_norm:
mov.w (tbl_fadd_op.b,%pc,%d1.w*2),%d1
jmp (tbl_fadd_op.b,%pc,%d1.w*1)
swbeg &48
tbl_fadd_op:
short fadd_norm - tbl_fadd_op # NORM + NORM
short fadd_zero_src - tbl_fadd_op # NORM + ZERO
short fadd_inf_src - tbl_fadd_op # NORM + INF
short fadd_res_qnan - tbl_fadd_op # NORM + QNAN
short fadd_norm - tbl_fadd_op # NORM + DENORM
short fadd_res_snan - tbl_fadd_op # NORM + SNAN
short tbl_fadd_op - tbl_fadd_op #
short tbl_fadd_op - tbl_fadd_op #
short fadd_zero_dst - tbl_fadd_op # ZERO + NORM
short fadd_zero_2 - tbl_fadd_op # ZERO + ZERO
short fadd_inf_src - tbl_fadd_op # ZERO + INF
short fadd_res_qnan - tbl_fadd_op # NORM + QNAN
short fadd_zero_dst - tbl_fadd_op # ZERO + DENORM
short fadd_res_snan - tbl_fadd_op # NORM + SNAN
short tbl_fadd_op - tbl_fadd_op #
short tbl_fadd_op - tbl_fadd_op #
short fadd_inf_dst - tbl_fadd_op # INF + NORM
short fadd_inf_dst - tbl_fadd_op # INF + ZERO
short fadd_inf_2 - tbl_fadd_op # INF + INF
short fadd_res_qnan - tbl_fadd_op # NORM + QNAN
short fadd_inf_dst - tbl_fadd_op # INF + DENORM
short fadd_res_snan - tbl_fadd_op # NORM + SNAN
short tbl_fadd_op - tbl_fadd_op #
short tbl_fadd_op - tbl_fadd_op #
short fadd_res_qnan - tbl_fadd_op # QNAN + NORM
short fadd_res_qnan - tbl_fadd_op # QNAN + ZERO
short fadd_res_qnan - tbl_fadd_op # QNAN + INF
short fadd_res_qnan - tbl_fadd_op # QNAN + QNAN
short fadd_res_qnan - tbl_fadd_op # QNAN + DENORM
short fadd_res_snan - tbl_fadd_op # QNAN + SNAN
short tbl_fadd_op - tbl_fadd_op #
short tbl_fadd_op - tbl_fadd_op #
short fadd_norm - tbl_fadd_op # DENORM + NORM
short fadd_zero_src - tbl_fadd_op # DENORM + ZERO
short fadd_inf_src - tbl_fadd_op # DENORM + INF
short fadd_res_qnan - tbl_fadd_op # NORM + QNAN
short fadd_norm - tbl_fadd_op # DENORM + DENORM
short fadd_res_snan - tbl_fadd_op # NORM + SNAN
short tbl_fadd_op - tbl_fadd_op #
short tbl_fadd_op - tbl_fadd_op #
short fadd_res_snan - tbl_fadd_op # SNAN + NORM
short fadd_res_snan - tbl_fadd_op # SNAN + ZERO
short fadd_res_snan - tbl_fadd_op # SNAN + INF
short fadd_res_snan - tbl_fadd_op # SNAN + QNAN
short fadd_res_snan - tbl_fadd_op # SNAN + DENORM
short fadd_res_snan - tbl_fadd_op # SNAN + SNAN
short tbl_fadd_op - tbl_fadd_op #
short tbl_fadd_op - tbl_fadd_op #
fadd_res_qnan:
bra.l res_qnan
fadd_res_snan:
bra.l res_snan
#
# both operands are ZEROes
#
fadd_zero_2:
mov.b SRC_EX(%a0),%d0 # are the signs opposite
mov.b DST_EX(%a1),%d1
eor.b %d0,%d1
bmi.w fadd_zero_2_chk_rm # weed out (-ZERO)+(+ZERO)
# the signs are the same. so determine whether they are positive or negative
# and return the appropriately signed zero.
tst.b %d0 # are ZEROes positive or negative?
bmi.b fadd_zero_rm # negative
fmov.s &0x00000000,%fp0 # return +ZERO
mov.b &z_bmask,FPSR_CC(%a6) # set Z
rts
#
# the ZEROes have opposite signs:
# - Therefore, we return +ZERO if the rounding modes are RN,RZ, or RP.
# - -ZERO is returned in the case of RM.
#
fadd_zero_2_chk_rm:
mov.b 3+L_SCR3(%a6),%d1
andi.b &0x30,%d1 # extract rnd mode
cmpi.b %d1,&rm_mode*0x10 # is rnd mode == RM?
beq.b fadd_zero_rm # yes
fmov.s &0x00000000,%fp0 # return +ZERO
mov.b &z_bmask,FPSR_CC(%a6) # set Z
rts
fadd_zero_rm:
fmov.s &0x80000000,%fp0 # return -ZERO
mov.b &neg_bmask+z_bmask,FPSR_CC(%a6) # set NEG/Z
rts
#
# one operand is a ZERO and the other is a DENORM or NORM. scale
# the DENORM or NORM and jump to the regular fadd routine.
#
fadd_zero_dst:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_to_zero_src # scale the operand
clr.w FP_SCR1_EX(%a6)
clr.l FP_SCR1_HI(%a6)
clr.l FP_SCR1_LO(%a6)
bra.w fadd_zero_entry # go execute fadd
fadd_zero_src:
mov.w DST_EX(%a1),FP_SCR1_EX(%a6)
mov.l DST_HI(%a1),FP_SCR1_HI(%a6)
mov.l DST_LO(%a1),FP_SCR1_LO(%a6)
bsr.l scale_to_zero_dst # scale the operand
clr.w FP_SCR0_EX(%a6)
clr.l FP_SCR0_HI(%a6)
clr.l FP_SCR0_LO(%a6)
bra.w fadd_zero_entry # go execute fadd
#
# both operands are INFs. an OPERR will result if the INFs have
# different signs. else, an INF of the same sign is returned
#
fadd_inf_2:
mov.b SRC_EX(%a0),%d0 # exclusive or the signs
mov.b DST_EX(%a1),%d1
eor.b %d1,%d0
bmi.l res_operr # weed out (-INF)+(+INF)
# ok, so it's not an OPERR. but, we do have to remember to return the
# src INF since that's where the 881/882 gets the j-bit from...
#
# operands are INF and one of {ZERO, INF, DENORM, NORM}
#
fadd_inf_src:
fmovm.x SRC(%a0),&0x80 # return src INF
tst.b SRC_EX(%a0) # is INF positive?
bpl.b fadd_inf_done # yes; we're done
mov.b &neg_bmask+inf_bmask,FPSR_CC(%a6) # set INF/NEG
rts
#
# operands are INF and one of {ZERO, INF, DENORM, NORM}
#
fadd_inf_dst:
fmovm.x DST(%a1),&0x80 # return dst INF
tst.b DST_EX(%a1) # is INF positive?
bpl.b fadd_inf_done # yes; we're done
mov.b &neg_bmask+inf_bmask,FPSR_CC(%a6) # set INF/NEG
rts
fadd_inf_done:
mov.b &inf_bmask,FPSR_CC(%a6) # set INF
rts
#########################################################################
# XDEF **************************************************************** #
# fsub(): emulates the fsub instruction #
# fssub(): emulates the fssub instruction #
# fdsub(): emulates the fdsub instruction #
# #
# XREF **************************************************************** #
# addsub_scaler2() - scale the operands so they won't take exc #
# ovf_res() - return default overflow result #
# unf_res() - return default underflow result #
# res_qnan() - set QNAN result #
# res_snan() - set SNAN result #
# res_operr() - set OPERR result #
# scale_to_zero_src() - set src operand exponent equal to zero #
# scale_to_zero_dst() - set dst operand exponent equal to zero #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# a1 = pointer to extended precision destination operand #
# #
# OUTPUT ************************************************************** #
# fp0 = result #
# fp1 = EXOP (if exception occurred) #
# #
# ALGORITHM *********************************************************** #
# Handle NANs, infinities, and zeroes as special cases. Divide #
# norms into extended, single, and double precision. #
# Do subtraction after scaling exponents such that exception won't#
# occur. Then, check result exponent to see if exception would have #
# occurred. If so, return default result and maybe EXOP. Else, insert #
# the correct result exponent and return. Set FPSR bits as appropriate. #
# #
#########################################################################
global fssub
fssub:
andi.b &0x30,%d0 # clear rnd prec
ori.b &s_mode*0x10,%d0 # insert sgl prec
bra.b fsub
global fdsub
fdsub:
andi.b &0x30,%d0 # clear rnd prec
ori.b &d_mode*0x10,%d0 # insert dbl prec
global fsub
fsub:
mov.l %d0,L_SCR3(%a6) # store rnd info
clr.w %d1
mov.b DTAG(%a6),%d1
lsl.b &0x3,%d1
or.b STAG(%a6),%d1 # combine src tags
bne.w fsub_not_norm # optimize on non-norm input
#
# SUB: norms and denorms
#
fsub_norm:
bsr.l addsub_scaler2 # scale exponents
fsub_zero_entry:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fsub.x FP_SCR0(%a6),%fp0 # execute subtract
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d1 # fetch INEX2, N, Z
or.l %d1,USER_FPSR(%a6) # save exc and ccode bits
fbeq.w fsub_zero_exit # if result zero, end now
mov.l %d2,-(%sp) # save d2
fmovm.x &0x01,-(%sp) # save result to stack
mov.w 2+L_SCR3(%a6),%d1
lsr.b &0x6,%d1
mov.w (%sp),%d2 # fetch new exponent
andi.l &0x7fff,%d2 # strip sign
sub.l %d0,%d2 # add scale factor
cmp.l %d2,(tbl_fsub_ovfl.b,%pc,%d1.w*4) # is it an overflow?
bge.b fsub_ovfl # yes
cmp.l %d2,(tbl_fsub_unfl.b,%pc,%d1.w*4) # is it an underflow?
blt.w fsub_unfl # yes
beq.w fsub_may_unfl # maybe; go find out
fsub_normal:
mov.w (%sp),%d1
andi.w &0x8000,%d1 # keep sign
or.w %d2,%d1 # insert new exponent
mov.w %d1,(%sp) # insert new exponent
fmovm.x (%sp)+,&0x80 # return result in fp0
mov.l (%sp)+,%d2 # restore d2
rts
fsub_zero_exit:
# fmov.s &0x00000000,%fp0 # return zero in fp0
rts
tbl_fsub_ovfl:
long 0x7fff # ext ovfl
long 0x407f # sgl ovfl
long 0x43ff # dbl ovfl
tbl_fsub_unfl:
long 0x0000 # ext unfl
long 0x3f81 # sgl unfl
long 0x3c01 # dbl unfl
fsub_ovfl:
or.l &ovfl_inx_mask,USER_FPSR(%a6) # set ovfl/aovfl/ainex
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x13,%d1 # is OVFL or INEX enabled?
bne.b fsub_ovfl_ena # yes
add.l &0xc,%sp
fsub_ovfl_dis:
btst &neg_bit,FPSR_CC(%a6) # is result negative?
sne %d1 # set sign param accordingly
mov.l L_SCR3(%a6),%d0 # pass prec:rnd
bsr.l ovf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # set INF,N if applicable
fmovm.x (%a0),&0x80 # return default result in fp0
mov.l (%sp)+,%d2 # restore d2
rts
fsub_ovfl_ena:
mov.b L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # is precision extended?
bne.b fsub_ovfl_ena_sd # no
fsub_ovfl_ena_cont:
mov.w (%sp),%d1 # fetch {sgn,exp}
andi.w &0x8000,%d1 # keep sign
subi.l &0x6000,%d2 # subtract new bias
andi.w &0x7fff,%d2 # clear top bit
or.w %d2,%d1 # concat sign,exp
mov.w %d1,(%sp) # insert new exponent
fmovm.x (%sp)+,&0x40 # return EXOP in fp1
bra.b fsub_ovfl_dis
fsub_ovfl_ena_sd:
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
mov.l L_SCR3(%a6),%d1
andi.b &0x30,%d1 # clear rnd prec
fmov.l %d1,%fpcr # set FPCR
fsub.x FP_SCR0(%a6),%fp0 # execute subtract
fmov.l &0x0,%fpcr # clear FPCR
add.l &0xc,%sp
fmovm.x &0x01,-(%sp)
bra.b fsub_ovfl_ena_cont
fsub_unfl:
bset &unfl_bit,FPSR_EXCEPT(%a6) # set unfl exc bit
add.l &0xc,%sp
fmovm.x FP_SCR1(%a6),&0x80 # load dst op
fmov.l &rz_mode*0x10,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsub.x FP_SCR0(%a6),%fp0 # execute subtract
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d1 # save status
or.l %d1,USER_FPSR(%a6)
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0b,%d1 # is UNFL or INEX enabled?
bne.b fsub_unfl_ena # yes
fsub_unfl_dis:
fmovm.x &0x80,FP_SCR0(%a6) # store out result
lea FP_SCR0(%a6),%a0 # pass: result addr
mov.l L_SCR3(%a6),%d1 # pass: rnd prec,mode
bsr.l unf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # 'Z' may have been set
fmovm.x FP_SCR0(%a6),&0x80 # return default result in fp0
mov.l (%sp)+,%d2 # restore d2
rts
fsub_unfl_ena:
fmovm.x FP_SCR1(%a6),&0x40
mov.l L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # is precision extended?
bne.b fsub_unfl_ena_sd # no
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fsub_unfl_ena_cont:
fmov.l &0x0,%fpsr # clear FPSR
fsub.x FP_SCR0(%a6),%fp1 # execute subtract
fmov.l &0x0,%fpcr # clear FPCR
fmovm.x &0x40,FP_SCR0(%a6) # store result to stack
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
addi.l &0x6000,%d1 # subtract new bias
andi.w &0x7fff,%d1 # clear top bit
or.w %d2,%d1 # concat sgn,exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
bra.w fsub_unfl_dis
fsub_unfl_ena_sd:
mov.l L_SCR3(%a6),%d1
andi.b &0x30,%d1 # clear rnd prec
fmov.l %d1,%fpcr # set FPCR
bra.b fsub_unfl_ena_cont
#
# result is equal to the smallest normalized number in the selected precision
# if the precision is extended, this result could not have come from an
# underflow that rounded up.
#
fsub_may_unfl:
mov.l L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # fetch rnd prec
beq.w fsub_normal # yes; no underflow occurred
mov.l 0x4(%sp),%d1
cmpi.l %d1,&0x80000000 # is hi(man) = 0x80000000?
bne.w fsub_normal # no; no underflow occurred
tst.l 0x8(%sp) # is lo(man) = 0x0?
bne.w fsub_normal # no; no underflow occurred
btst &inex2_bit,FPSR_EXCEPT(%a6) # is INEX2 set?
beq.w fsub_normal # no; no underflow occurred
#
# ok, so now the result has a exponent equal to the smallest normalized
# exponent for the selected precision. also, the mantissa is equal to
# 0x8000000000000000 and this mantissa is the result of rounding non-zero
# g,r,s.
# now, we must determine whether the pre-rounded result was an underflow
# rounded "up" or a normalized number rounded "down".
# so, we do this be re-executing the add using RZ as the rounding mode and
# seeing if the new result is smaller or equal to the current result.
#
fmovm.x FP_SCR1(%a6),&0x40 # load dst op into fp1
mov.l L_SCR3(%a6),%d1
andi.b &0xc0,%d1 # keep rnd prec
ori.b &rz_mode*0x10,%d1 # insert rnd mode
fmov.l %d1,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsub.x FP_SCR0(%a6),%fp1 # execute subtract
fmov.l &0x0,%fpcr # clear FPCR
fabs.x %fp0 # compare absolute values
fabs.x %fp1
fcmp.x %fp0,%fp1 # is first result > second?
fbgt.w fsub_unfl # yes; it's an underflow
bra.w fsub_normal # no; it's not an underflow
##########################################################################
#
# Sub: inputs are not both normalized; what are they?
#
fsub_not_norm:
mov.w (tbl_fsub_op.b,%pc,%d1.w*2),%d1
jmp (tbl_fsub_op.b,%pc,%d1.w*1)
swbeg &48
tbl_fsub_op:
short fsub_norm - tbl_fsub_op # NORM - NORM
short fsub_zero_src - tbl_fsub_op # NORM - ZERO
short fsub_inf_src - tbl_fsub_op # NORM - INF
short fsub_res_qnan - tbl_fsub_op # NORM - QNAN
short fsub_norm - tbl_fsub_op # NORM - DENORM
short fsub_res_snan - tbl_fsub_op # NORM - SNAN
short tbl_fsub_op - tbl_fsub_op #
short tbl_fsub_op - tbl_fsub_op #
short fsub_zero_dst - tbl_fsub_op # ZERO - NORM
short fsub_zero_2 - tbl_fsub_op # ZERO - ZERO
short fsub_inf_src - tbl_fsub_op # ZERO - INF
short fsub_res_qnan - tbl_fsub_op # NORM - QNAN
short fsub_zero_dst - tbl_fsub_op # ZERO - DENORM
short fsub_res_snan - tbl_fsub_op # NORM - SNAN
short tbl_fsub_op - tbl_fsub_op #
short tbl_fsub_op - tbl_fsub_op #
short fsub_inf_dst - tbl_fsub_op # INF - NORM
short fsub_inf_dst - tbl_fsub_op # INF - ZERO
short fsub_inf_2 - tbl_fsub_op # INF - INF
short fsub_res_qnan - tbl_fsub_op # NORM - QNAN
short fsub_inf_dst - tbl_fsub_op # INF - DENORM
short fsub_res_snan - tbl_fsub_op # NORM - SNAN
short tbl_fsub_op - tbl_fsub_op #
short tbl_fsub_op - tbl_fsub_op #
short fsub_res_qnan - tbl_fsub_op # QNAN - NORM
short fsub_res_qnan - tbl_fsub_op # QNAN - ZERO
short fsub_res_qnan - tbl_fsub_op # QNAN - INF
short fsub_res_qnan - tbl_fsub_op # QNAN - QNAN
short fsub_res_qnan - tbl_fsub_op # QNAN - DENORM
short fsub_res_snan - tbl_fsub_op # QNAN - SNAN
short tbl_fsub_op - tbl_fsub_op #
short tbl_fsub_op - tbl_fsub_op #
short fsub_norm - tbl_fsub_op # DENORM - NORM
short fsub_zero_src - tbl_fsub_op # DENORM - ZERO
short fsub_inf_src - tbl_fsub_op # DENORM - INF
short fsub_res_qnan - tbl_fsub_op # NORM - QNAN
short fsub_norm - tbl_fsub_op # DENORM - DENORM
short fsub_res_snan - tbl_fsub_op # NORM - SNAN
short tbl_fsub_op - tbl_fsub_op #
short tbl_fsub_op - tbl_fsub_op #
short fsub_res_snan - tbl_fsub_op # SNAN - NORM
short fsub_res_snan - tbl_fsub_op # SNAN - ZERO
short fsub_res_snan - tbl_fsub_op # SNAN - INF
short fsub_res_snan - tbl_fsub_op # SNAN - QNAN
short fsub_res_snan - tbl_fsub_op # SNAN - DENORM
short fsub_res_snan - tbl_fsub_op # SNAN - SNAN
short tbl_fsub_op - tbl_fsub_op #
short tbl_fsub_op - tbl_fsub_op #
fsub_res_qnan:
bra.l res_qnan
fsub_res_snan:
bra.l res_snan
#
# both operands are ZEROes
#
fsub_zero_2:
mov.b SRC_EX(%a0),%d0
mov.b DST_EX(%a1),%d1
eor.b %d1,%d0
bpl.b fsub_zero_2_chk_rm
# the signs are opposite, so, return a ZERO w/ the sign of the dst ZERO
tst.b %d0 # is dst negative?
bmi.b fsub_zero_2_rm # yes
fmov.s &0x00000000,%fp0 # no; return +ZERO
mov.b &z_bmask,FPSR_CC(%a6) # set Z
rts
#
# the ZEROes have the same signs:
# - Therefore, we return +ZERO if the rounding mode is RN,RZ, or RP
# - -ZERO is returned in the case of RM.
#
fsub_zero_2_chk_rm:
mov.b 3+L_SCR3(%a6),%d1
andi.b &0x30,%d1 # extract rnd mode
cmpi.b %d1,&rm_mode*0x10 # is rnd mode = RM?
beq.b fsub_zero_2_rm # yes
fmov.s &0x00000000,%fp0 # no; return +ZERO
mov.b &z_bmask,FPSR_CC(%a6) # set Z
rts
fsub_zero_2_rm:
fmov.s &0x80000000,%fp0 # return -ZERO
mov.b &z_bmask+neg_bmask,FPSR_CC(%a6) # set Z/NEG
rts
#
# one operand is a ZERO and the other is a DENORM or a NORM.
# scale the DENORM or NORM and jump to the regular fsub routine.
#
fsub_zero_dst:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_to_zero_src # scale the operand
clr.w FP_SCR1_EX(%a6)
clr.l FP_SCR1_HI(%a6)
clr.l FP_SCR1_LO(%a6)
bra.w fsub_zero_entry # go execute fsub
fsub_zero_src:
mov.w DST_EX(%a1),FP_SCR1_EX(%a6)
mov.l DST_HI(%a1),FP_SCR1_HI(%a6)
mov.l DST_LO(%a1),FP_SCR1_LO(%a6)
bsr.l scale_to_zero_dst # scale the operand
clr.w FP_SCR0_EX(%a6)
clr.l FP_SCR0_HI(%a6)
clr.l FP_SCR0_LO(%a6)
bra.w fsub_zero_entry # go execute fsub
#
# both operands are INFs. an OPERR will result if the INFs have the
# same signs. else,
#
fsub_inf_2:
mov.b SRC_EX(%a0),%d0 # exclusive or the signs
mov.b DST_EX(%a1),%d1
eor.b %d1,%d0
bpl.l res_operr # weed out (-INF)+(+INF)
# ok, so it's not an OPERR. but we do have to remember to return
# the src INF since that's where the 881/882 gets the j-bit.
fsub_inf_src:
fmovm.x SRC(%a0),&0x80 # return src INF
fneg.x %fp0 # invert sign
fbge.w fsub_inf_done # sign is now positive
mov.b &neg_bmask+inf_bmask,FPSR_CC(%a6) # set INF/NEG
rts
fsub_inf_dst:
fmovm.x DST(%a1),&0x80 # return dst INF
tst.b DST_EX(%a1) # is INF negative?
bpl.b fsub_inf_done # no
mov.b &neg_bmask+inf_bmask,FPSR_CC(%a6) # set INF/NEG
rts
fsub_inf_done:
mov.b &inf_bmask,FPSR_CC(%a6) # set INF
rts
#########################################################################
# XDEF **************************************************************** #
# fsqrt(): emulates the fsqrt instruction #
# fssqrt(): emulates the fssqrt instruction #
# fdsqrt(): emulates the fdsqrt instruction #
# #
# XREF **************************************************************** #
# scale_sqrt() - scale the source operand #
# unf_res() - return default underflow result #
# ovf_res() - return default overflow result #
# res_qnan_1op() - return QNAN result #
# res_snan_1op() - return SNAN result #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# d0 rnd prec,mode #
# #
# OUTPUT ************************************************************** #
# fp0 = result #
# fp1 = EXOP (if exception occurred) #
# #
# ALGORITHM *********************************************************** #
# Handle NANs, infinities, and zeroes as special cases. Divide #
# norms/denorms into ext/sgl/dbl precision. #
# For norms/denorms, scale the exponents such that a sqrt #
# instruction won't cause an exception. Use the regular fsqrt to #
# compute a result. Check if the regular operands would have taken #
# an exception. If so, return the default overflow/underflow result #
# and return the EXOP if exceptions are enabled. Else, scale the #
# result operand to the proper exponent. #
# #
#########################################################################
global fssqrt
fssqrt:
andi.b &0x30,%d0 # clear rnd prec
ori.b &s_mode*0x10,%d0 # insert sgl precision
bra.b fsqrt
global fdsqrt
fdsqrt:
andi.b &0x30,%d0 # clear rnd prec
ori.b &d_mode*0x10,%d0 # insert dbl precision
global fsqrt
fsqrt:
mov.l %d0,L_SCR3(%a6) # store rnd info
clr.w %d1
mov.b STAG(%a6),%d1
bne.w fsqrt_not_norm # optimize on non-norm input
#
# SQUARE ROOT: norms and denorms ONLY!
#
fsqrt_norm:
tst.b SRC_EX(%a0) # is operand negative?
bmi.l res_operr # yes
andi.b &0xc0,%d0 # is precision extended?
bne.b fsqrt_not_ext # no; go handle sgl or dbl
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsqrt.x (%a0),%fp0 # execute square root
fmov.l %fpsr,%d1
or.l %d1,USER_FPSR(%a6) # set N,INEX
rts
fsqrt_denorm:
tst.b SRC_EX(%a0) # is operand negative?
bmi.l res_operr # yes
andi.b &0xc0,%d0 # is precision extended?
bne.b fsqrt_not_ext # no; go handle sgl or dbl
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_sqrt # calculate scale factor
bra.w fsqrt_sd_normal
#
# operand is either single or double
#
fsqrt_not_ext:
cmpi.b %d0,&s_mode*0x10 # separate sgl/dbl prec
bne.w fsqrt_dbl
#
# operand is to be rounded to single precision
#
fsqrt_sgl:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_sqrt # calculate scale factor
cmpi.l %d0,&0x3fff-0x3f81 # will move in underflow?
beq.w fsqrt_sd_may_unfl
bgt.w fsqrt_sd_unfl # yes; go handle underflow
cmpi.l %d0,&0x3fff-0x407f # will move in overflow?
beq.w fsqrt_sd_may_ovfl # maybe; go check
blt.w fsqrt_sd_ovfl # yes; go handle overflow
#
# operand will NOT overflow or underflow when moved in to the fp reg file
#
fsqrt_sd_normal:
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fsqrt.x FP_SCR0(%a6),%fp0 # perform absolute
fmov.l %fpsr,%d1 # save FPSR
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fsqrt_sd_normal_exit:
mov.l %d2,-(%sp) # save d2
fmovm.x &0x80,FP_SCR0(%a6) # store out result
mov.w FP_SCR0_EX(%a6),%d1 # load sgn,exp
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
sub.l %d0,%d1 # add scale factor
andi.w &0x8000,%d2 # keep old sign
or.w %d1,%d2 # concat old sign,new exp
mov.w %d2,FP_SCR0_EX(%a6) # insert new exponent
mov.l (%sp)+,%d2 # restore d2
fmovm.x FP_SCR0(%a6),&0x80 # return result in fp0
rts
#
# operand is to be rounded to double precision
#
fsqrt_dbl:
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
bsr.l scale_sqrt # calculate scale factor
cmpi.l %d0,&0x3fff-0x3c01 # will move in underflow?
beq.w fsqrt_sd_may_unfl
bgt.b fsqrt_sd_unfl # yes; go handle underflow
cmpi.l %d0,&0x3fff-0x43ff # will move in overflow?
beq.w fsqrt_sd_may_ovfl # maybe; go check
blt.w fsqrt_sd_ovfl # yes; go handle overflow
bra.w fsqrt_sd_normal # no; ho handle normalized op
# we're on the line here and the distinguising characteristic is whether
# the exponent is 3fff or 3ffe. if it's 3ffe, then it's a safe number
# elsewise fall through to underflow.
fsqrt_sd_may_unfl:
btst &0x0,1+FP_SCR0_EX(%a6) # is exponent 0x3fff?
bne.w fsqrt_sd_normal # yes, so no underflow
#
# operand WILL underflow when moved in to the fp register file
#
fsqrt_sd_unfl:
bset &unfl_bit,FPSR_EXCEPT(%a6) # set unfl exc bit
fmov.l &rz_mode*0x10,%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fsqrt.x FP_SCR0(%a6),%fp0 # execute square root
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
# if underflow or inexact is enabled, go calculate EXOP first.
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0b,%d1 # is UNFL or INEX enabled?
bne.b fsqrt_sd_unfl_ena # yes
fsqrt_sd_unfl_dis:
fmovm.x &0x80,FP_SCR0(%a6) # store out result
lea FP_SCR0(%a6),%a0 # pass: result addr
mov.l L_SCR3(%a6),%d1 # pass: rnd prec,mode
bsr.l unf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # set possible 'Z' ccode
fmovm.x FP_SCR0(%a6),&0x80 # return default result in fp0
rts
#
# operand will underflow AND underflow is enabled.
# Therefore, we must return the result rounded to extended precision.
#
fsqrt_sd_unfl_ena:
mov.l FP_SCR0_HI(%a6),FP_SCR1_HI(%a6)
mov.l FP_SCR0_LO(%a6),FP_SCR1_LO(%a6)
mov.w FP_SCR0_EX(%a6),%d1 # load current exponent
mov.l %d2,-(%sp) # save d2
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # subtract scale factor
addi.l &0x6000,%d1 # add new bias
andi.w &0x7fff,%d1
or.w %d2,%d1 # concat new sign,new exp
mov.w %d1,FP_SCR1_EX(%a6) # insert new exp
fmovm.x FP_SCR1(%a6),&0x40 # return EXOP in fp1
mov.l (%sp)+,%d2 # restore d2
bra.b fsqrt_sd_unfl_dis
#
# operand WILL overflow.
#
fsqrt_sd_ovfl:
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fsqrt.x FP_SCR0(%a6),%fp0 # perform square root
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d1 # save FPSR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fsqrt_sd_ovfl_tst:
or.l &ovfl_inx_mask,USER_FPSR(%a6) # set ovfl/aovfl/ainex
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x13,%d1 # is OVFL or INEX enabled?
bne.b fsqrt_sd_ovfl_ena # yes
#
# OVFL is not enabled; therefore, we must create the default result by
# calling ovf_res().
#
fsqrt_sd_ovfl_dis:
btst &neg_bit,FPSR_CC(%a6) # is result negative?
sne %d1 # set sign param accordingly
mov.l L_SCR3(%a6),%d0 # pass: prec,mode
bsr.l ovf_res # calculate default result
or.b %d0,FPSR_CC(%a6) # set INF,N if applicable
fmovm.x (%a0),&0x80 # return default result in fp0
rts
#
# OVFL is enabled.
# the INEX2 bit has already been updated by the round to the correct precision.
# now, round to extended(and don't alter the FPSR).
#
fsqrt_sd_ovfl_ena:
mov.l %d2,-(%sp) # save d2
mov.w FP_SCR0_EX(%a6),%d1 # fetch {sgn,exp}
mov.l %d1,%d2 # make a copy
andi.l &0x7fff,%d1 # strip sign
andi.w &0x8000,%d2 # keep old sign
sub.l %d0,%d1 # add scale factor
subi.l &0x6000,%d1 # subtract bias
andi.w &0x7fff,%d1
or.w %d2,%d1 # concat sign,exp
mov.w %d1,FP_SCR0_EX(%a6) # insert new exponent
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
mov.l (%sp)+,%d2 # restore d2
bra.b fsqrt_sd_ovfl_dis
#
# the move in MAY underflow. so...
#
fsqrt_sd_may_ovfl:
btst &0x0,1+FP_SCR0_EX(%a6) # is exponent 0x3fff?
bne.w fsqrt_sd_ovfl # yes, so overflow
fmov.l &0x0,%fpsr # clear FPSR
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fsqrt.x FP_SCR0(%a6),%fp0 # perform absolute
fmov.l %fpsr,%d1 # save status
fmov.l &0x0,%fpcr # clear FPCR
or.l %d1,USER_FPSR(%a6) # save INEX2,N
fmov.x %fp0,%fp1 # make a copy of result
fcmp.b %fp1,&0x1 # is |result| >= 1.b?
fbge.w fsqrt_sd_ovfl_tst # yes; overflow has occurred
# no, it didn't overflow; we have correct result
bra.w fsqrt_sd_normal_exit
##########################################################################
#
# input is not normalized; what is it?
#
fsqrt_not_norm:
cmpi.b %d1,&DENORM # weed out DENORM
beq.w fsqrt_denorm
cmpi.b %d1,&ZERO # weed out ZERO
beq.b fsqrt_zero
cmpi.b %d1,&INF # weed out INF
beq.b fsqrt_inf
cmpi.b %d1,&SNAN # weed out SNAN
beq.l res_snan_1op
bra.l res_qnan_1op
#
# fsqrt(+0) = +0
# fsqrt(-0) = -0
# fsqrt(+INF) = +INF
# fsqrt(-INF) = OPERR
#
fsqrt_zero:
tst.b SRC_EX(%a0) # is ZERO positive or negative?
bmi.b fsqrt_zero_m # negative
fsqrt_zero_p:
fmov.s &0x00000000,%fp0 # return +ZERO
mov.b &z_bmask,FPSR_CC(%a6) # set 'Z' ccode bit
rts
fsqrt_zero_m:
fmov.s &0x80000000,%fp0 # return -ZERO
mov.b &z_bmask+neg_bmask,FPSR_CC(%a6) # set 'Z','N' ccode bits
rts
fsqrt_inf:
tst.b SRC_EX(%a0) # is INF positive or negative?
bmi.l res_operr # negative
fsqrt_inf_p:
fmovm.x SRC(%a0),&0x80 # return +INF in fp0
mov.b &inf_bmask,FPSR_CC(%a6) # set 'I' ccode bit
rts
##########################################################################
#########################################################################
# XDEF **************************************************************** #
# addsub_scaler2(): scale inputs to fadd/fsub such that no #
# OVFL/UNFL exceptions will result #
# #
# XREF **************************************************************** #
# norm() - normalize mantissa after adjusting exponent #
# #
# INPUT *************************************************************** #
# FP_SRC(a6) = fp op1(src) #
# FP_DST(a6) = fp op2(dst) #
# #
# OUTPUT ************************************************************** #
# FP_SRC(a6) = fp op1 scaled(src) #
# FP_DST(a6) = fp op2 scaled(dst) #
# d0 = scale amount #
# #
# ALGORITHM *********************************************************** #
# If the DST exponent is > the SRC exponent, set the DST exponent #
# equal to 0x3fff and scale the SRC exponent by the value that the #
# DST exponent was scaled by. If the SRC exponent is greater or equal, #
# do the opposite. Return this scale factor in d0. #
# If the two exponents differ by > the number of mantissa bits #
# plus two, then set the smallest exponent to a very small value as a #
# quick shortcut. #
# #
#########################################################################
global addsub_scaler2
addsub_scaler2:
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l DST_HI(%a1),FP_SCR1_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
mov.l DST_LO(%a1),FP_SCR1_LO(%a6)
mov.w SRC_EX(%a0),%d0
mov.w DST_EX(%a1),%d1
mov.w %d0,FP_SCR0_EX(%a6)
mov.w %d1,FP_SCR1_EX(%a6)
andi.w &0x7fff,%d0
andi.w &0x7fff,%d1
mov.w %d0,L_SCR1(%a6) # store src exponent
mov.w %d1,2+L_SCR1(%a6) # store dst exponent
cmp.w %d0, %d1 # is src exp >= dst exp?
bge.l src_exp_ge2
# dst exp is > src exp; scale dst to exp = 0x3fff
dst_exp_gt2:
bsr.l scale_to_zero_dst
mov.l %d0,-(%sp) # save scale factor
cmpi.b STAG(%a6),&DENORM # is dst denormalized?
bne.b cmpexp12
lea FP_SCR0(%a6),%a0
bsr.l norm # normalize the denorm; result is new exp
neg.w %d0 # new exp = -(shft val)
mov.w %d0,L_SCR1(%a6) # inset new exp
cmpexp12:
mov.w 2+L_SCR1(%a6),%d0
subi.w &mantissalen+2,%d0 # subtract mantissalen+2 from larger exp
cmp.w %d0,L_SCR1(%a6) # is difference >= len(mantissa)+2?
bge.b quick_scale12
mov.w L_SCR1(%a6),%d0
add.w 0x2(%sp),%d0 # scale src exponent by scale factor
mov.w FP_SCR0_EX(%a6),%d1
and.w &0x8000,%d1
or.w %d1,%d0 # concat {sgn,new exp}
mov.w %d0,FP_SCR0_EX(%a6) # insert new dst exponent
mov.l (%sp)+,%d0 # return SCALE factor
rts
quick_scale12:
andi.w &0x8000,FP_SCR0_EX(%a6) # zero src exponent
bset &0x0,1+FP_SCR0_EX(%a6) # set exp = 1
mov.l (%sp)+,%d0 # return SCALE factor
rts
# src exp is >= dst exp; scale src to exp = 0x3fff
src_exp_ge2:
bsr.l scale_to_zero_src
mov.l %d0,-(%sp) # save scale factor
cmpi.b DTAG(%a6),&DENORM # is dst denormalized?
bne.b cmpexp22
lea FP_SCR1(%a6),%a0
bsr.l norm # normalize the denorm; result is new exp
neg.w %d0 # new exp = -(shft val)
mov.w %d0,2+L_SCR1(%a6) # inset new exp
cmpexp22:
mov.w L_SCR1(%a6),%d0
subi.w &mantissalen+2,%d0 # subtract mantissalen+2 from larger exp
cmp.w %d0,2+L_SCR1(%a6) # is difference >= len(mantissa)+2?
bge.b quick_scale22
mov.w 2+L_SCR1(%a6),%d0
add.w 0x2(%sp),%d0 # scale dst exponent by scale factor
mov.w FP_SCR1_EX(%a6),%d1
andi.w &0x8000,%d1
or.w %d1,%d0 # concat {sgn,new exp}
mov.w %d0,FP_SCR1_EX(%a6) # insert new dst exponent
mov.l (%sp)+,%d0 # return SCALE factor
rts
quick_scale22:
andi.w &0x8000,FP_SCR1_EX(%a6) # zero dst exponent
bset &0x0,1+FP_SCR1_EX(%a6) # set exp = 1
mov.l (%sp)+,%d0 # return SCALE factor
rts
##########################################################################
#########################################################################
# XDEF **************************************************************** #
# scale_to_zero_src(): scale the exponent of extended precision #
# value at FP_SCR0(a6). #
# #
# XREF **************************************************************** #
# norm() - normalize the mantissa if the operand was a DENORM #
# #
# INPUT *************************************************************** #
# FP_SCR0(a6) = extended precision operand to be scaled #
# #
# OUTPUT ************************************************************** #
# FP_SCR0(a6) = scaled extended precision operand #
# d0 = scale value #
# #
# ALGORITHM *********************************************************** #
# Set the exponent of the input operand to 0x3fff. Save the value #
# of the difference between the original and new exponent. Then, #
# normalize the operand if it was a DENORM. Add this normalization #
# value to the previous value. Return the result. #
# #
#########################################################################
global scale_to_zero_src
scale_to_zero_src:
mov.w FP_SCR0_EX(%a6),%d1 # extract operand's {sgn,exp}
mov.w %d1,%d0 # make a copy
andi.l &0x7fff,%d1 # extract operand's exponent
andi.w &0x8000,%d0 # extract operand's sgn
or.w &0x3fff,%d0 # insert new operand's exponent(=0)
mov.w %d0,FP_SCR0_EX(%a6) # insert biased exponent
cmpi.b STAG(%a6),&DENORM # is operand normalized?
beq.b stzs_denorm # normalize the DENORM
stzs_norm:
mov.l &0x3fff,%d0
sub.l %d1,%d0 # scale = BIAS + (-exp)
rts
stzs_denorm:
lea FP_SCR0(%a6),%a0 # pass ptr to src op
bsr.l norm # normalize denorm
neg.l %d0 # new exponent = -(shft val)
mov.l %d0,%d1 # prepare for op_norm call
bra.b stzs_norm # finish scaling
###
#########################################################################
# XDEF **************************************************************** #
# scale_sqrt(): scale the input operand exponent so a subsequent #
# fsqrt operation won't take an exception. #
# #
# XREF **************************************************************** #
# norm() - normalize the mantissa if the operand was a DENORM #
# #
# INPUT *************************************************************** #
# FP_SCR0(a6) = extended precision operand to be scaled #
# #
# OUTPUT ************************************************************** #
# FP_SCR0(a6) = scaled extended precision operand #
# d0 = scale value #
# #
# ALGORITHM *********************************************************** #
# If the input operand is a DENORM, normalize it. #
# If the exponent of the input operand is even, set the exponent #
# to 0x3ffe and return a scale factor of "(exp-0x3ffe)/2". If the #
# exponent of the input operand is off, set the exponent to ox3fff and #
# return a scale factor of "(exp-0x3fff)/2". #
# #
#########################################################################
global scale_sqrt
scale_sqrt:
cmpi.b STAG(%a6),&DENORM # is operand normalized?
beq.b ss_denorm # normalize the DENORM
mov.w FP_SCR0_EX(%a6),%d1 # extract operand's {sgn,exp}
andi.l &0x7fff,%d1 # extract operand's exponent
andi.w &0x8000,FP_SCR0_EX(%a6) # extract operand's sgn
btst &0x0,%d1 # is exp even or odd?
beq.b ss_norm_even
ori.w &0x3fff,FP_SCR0_EX(%a6) # insert new operand's exponent(=0)
mov.l &0x3fff,%d0
sub.l %d1,%d0 # scale = BIAS + (-exp)
asr.l &0x1,%d0 # divide scale factor by 2
rts
ss_norm_even:
ori.w &0x3ffe,FP_SCR0_EX(%a6) # insert new operand's exponent(=0)
mov.l &0x3ffe,%d0
sub.l %d1,%d0 # scale = BIAS + (-exp)
asr.l &0x1,%d0 # divide scale factor by 2
rts
ss_denorm:
lea FP_SCR0(%a6),%a0 # pass ptr to src op
bsr.l norm # normalize denorm
btst &0x0,%d0 # is exp even or odd?
beq.b ss_denorm_even
ori.w &0x3fff,FP_SCR0_EX(%a6) # insert new operand's exponent(=0)
add.l &0x3fff,%d0
asr.l &0x1,%d0 # divide scale factor by 2
rts
ss_denorm_even:
ori.w &0x3ffe,FP_SCR0_EX(%a6) # insert new operand's exponent(=0)
add.l &0x3ffe,%d0
asr.l &0x1,%d0 # divide scale factor by 2
rts
###
#########################################################################
# XDEF **************************************************************** #
# scale_to_zero_dst(): scale the exponent of extended precision #
# value at FP_SCR1(a6). #
# #
# XREF **************************************************************** #
# norm() - normalize the mantissa if the operand was a DENORM #
# #
# INPUT *************************************************************** #
# FP_SCR1(a6) = extended precision operand to be scaled #
# #
# OUTPUT ************************************************************** #
# FP_SCR1(a6) = scaled extended precision operand #
# d0 = scale value #
# #
# ALGORITHM *********************************************************** #
# Set the exponent of the input operand to 0x3fff. Save the value #
# of the difference between the original and new exponent. Then, #
# normalize the operand if it was a DENORM. Add this normalization #
# value to the previous value. Return the result. #
# #
#########################################################################
global scale_to_zero_dst
scale_to_zero_dst:
mov.w FP_SCR1_EX(%a6),%d1 # extract operand's {sgn,exp}
mov.w %d1,%d0 # make a copy
andi.l &0x7fff,%d1 # extract operand's exponent
andi.w &0x8000,%d0 # extract operand's sgn
or.w &0x3fff,%d0 # insert new operand's exponent(=0)
mov.w %d0,FP_SCR1_EX(%a6) # insert biased exponent
cmpi.b DTAG(%a6),&DENORM # is operand normalized?
beq.b stzd_denorm # normalize the DENORM
stzd_norm:
mov.l &0x3fff,%d0
sub.l %d1,%d0 # scale = BIAS + (-exp)
rts
stzd_denorm:
lea FP_SCR1(%a6),%a0 # pass ptr to dst op
bsr.l norm # normalize denorm
neg.l %d0 # new exponent = -(shft val)
mov.l %d0,%d1 # prepare for op_norm call
bra.b stzd_norm # finish scaling
##########################################################################
#########################################################################
# XDEF **************************************************************** #
# res_qnan(): return default result w/ QNAN operand for dyadic #
# res_snan(): return default result w/ SNAN operand for dyadic #
# res_qnan_1op(): return dflt result w/ QNAN operand for monadic #
# res_snan_1op(): return dflt result w/ SNAN operand for monadic #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# FP_SRC(a6) = pointer to extended precision src operand #
# FP_DST(a6) = pointer to extended precision dst operand #
# #
# OUTPUT ************************************************************** #
# fp0 = default result #
# #
# ALGORITHM *********************************************************** #
# If either operand (but not both operands) of an operation is a #
# nonsignalling NAN, then that NAN is returned as the result. If both #
# operands are nonsignalling NANs, then the destination operand #
# nonsignalling NAN is returned as the result. #
# If either operand to an operation is a signalling NAN (SNAN), #
# then, the SNAN bit is set in the FPSR EXC byte. If the SNAN trap #
# enable bit is set in the FPCR, then the trap is taken and the #
# destination is not modified. If the SNAN trap enable bit is not set, #
# then the SNAN is converted to a nonsignalling NAN (by setting the #
# SNAN bit in the operand to one), and the operation continues as #
# described in the preceding paragraph, for nonsignalling NANs. #
# Make sure the appropriate FPSR bits are set before exiting. #
# #
#########################################################################
global res_qnan
global res_snan
res_qnan:
res_snan:
cmp.b DTAG(%a6), &SNAN # is the dst an SNAN?
beq.b dst_snan2
cmp.b DTAG(%a6), &QNAN # is the dst a QNAN?
beq.b dst_qnan2
src_nan:
cmp.b STAG(%a6), &QNAN
beq.b src_qnan2
global res_snan_1op
res_snan_1op:
src_snan2:
bset &0x6, FP_SRC_HI(%a6) # set SNAN bit
or.l &nan_mask+aiop_mask+snan_mask, USER_FPSR(%a6)
lea FP_SRC(%a6), %a0
bra.b nan_comp
global res_qnan_1op
res_qnan_1op:
src_qnan2:
or.l &nan_mask, USER_FPSR(%a6)
lea FP_SRC(%a6), %a0
bra.b nan_comp
dst_snan2:
or.l &nan_mask+aiop_mask+snan_mask, USER_FPSR(%a6)
bset &0x6, FP_DST_HI(%a6) # set SNAN bit
lea FP_DST(%a6), %a0
bra.b nan_comp
dst_qnan2:
lea FP_DST(%a6), %a0
cmp.b STAG(%a6), &SNAN
bne nan_done
or.l &aiop_mask+snan_mask, USER_FPSR(%a6)
nan_done:
or.l &nan_mask, USER_FPSR(%a6)
nan_comp:
btst &0x7, FTEMP_EX(%a0) # is NAN neg?
beq.b nan_not_neg
or.l &neg_mask, USER_FPSR(%a6)
nan_not_neg:
fmovm.x (%a0), &0x80
rts
#########################################################################
# XDEF **************************************************************** #
# res_operr(): return default result during operand error #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# None #
# #
# OUTPUT ************************************************************** #
# fp0 = default operand error result #
# #
# ALGORITHM *********************************************************** #
# An nonsignalling NAN is returned as the default result when #
# an operand error occurs for the following cases: #
# #
# Multiply: (Infinity x Zero) #
# Divide : (Zero / Zero) || (Infinity / Infinity) #
# #
#########################################################################
global res_operr
res_operr:
or.l &nan_mask+operr_mask+aiop_mask, USER_FPSR(%a6)
fmovm.x nan_return(%pc), &0x80
rts
nan_return:
long 0x7fff0000, 0xffffffff, 0xffffffff
#########################################################################
# fdbcc(): routine to emulate the fdbcc instruction #
# #
# XDEF **************************************************************** #
# _fdbcc() #
# #
# XREF **************************************************************** #
# fetch_dreg() - fetch Dn value #
# store_dreg_l() - store updated Dn value #
# #
# INPUT *************************************************************** #
# d0 = displacement #
# #
# OUTPUT ************************************************************** #
# none #
# #
# ALGORITHM *********************************************************** #
# This routine checks which conditional predicate is specified by #
# the stacked fdbcc instruction opcode and then branches to a routine #
# for that predicate. The corresponding fbcc instruction is then used #
# to see whether the condition (specified by the stacked FPSR) is true #
# or false. #
# If a BSUN exception should be indicated, the BSUN and ABSUN #
# bits are set in the stacked FPSR. If the BSUN exception is enabled, #
# the fbsun_flg is set in the SPCOND_FLG location on the stack. If an #
# enabled BSUN should not be flagged and the predicate is true, then #
# Dn is fetched and decremented by one. If Dn is not equal to -1, add #
# the displacement value to the stacked PC so that when an "rte" is #
# finally executed, the branch occurs. #
# #
#########################################################################
global _fdbcc
_fdbcc:
mov.l %d0,L_SCR1(%a6) # save displacement
mov.w EXC_CMDREG(%a6),%d0 # fetch predicate
clr.l %d1 # clear scratch reg
mov.b FPSR_CC(%a6),%d1 # fetch fp ccodes
ror.l &0x8,%d1 # rotate to top byte
fmov.l %d1,%fpsr # insert into FPSR
mov.w (tbl_fdbcc.b,%pc,%d0.w*2),%d1 # load table
jmp (tbl_fdbcc.b,%pc,%d1.w) # jump to fdbcc routine
tbl_fdbcc:
short fdbcc_f - tbl_fdbcc # 00
short fdbcc_eq - tbl_fdbcc # 01
short fdbcc_ogt - tbl_fdbcc # 02
short fdbcc_oge - tbl_fdbcc # 03
short fdbcc_olt - tbl_fdbcc # 04
short fdbcc_ole - tbl_fdbcc # 05
short fdbcc_ogl - tbl_fdbcc # 06
short fdbcc_or - tbl_fdbcc # 07
short fdbcc_un - tbl_fdbcc # 08
short fdbcc_ueq - tbl_fdbcc # 09
short fdbcc_ugt - tbl_fdbcc # 10
short fdbcc_uge - tbl_fdbcc # 11
short fdbcc_ult - tbl_fdbcc # 12
short fdbcc_ule - tbl_fdbcc # 13
short fdbcc_neq - tbl_fdbcc # 14
short fdbcc_t - tbl_fdbcc # 15
short fdbcc_sf - tbl_fdbcc # 16
short fdbcc_seq - tbl_fdbcc # 17
short fdbcc_gt - tbl_fdbcc # 18
short fdbcc_ge - tbl_fdbcc # 19
short fdbcc_lt - tbl_fdbcc # 20
short fdbcc_le - tbl_fdbcc # 21
short fdbcc_gl - tbl_fdbcc # 22
short fdbcc_gle - tbl_fdbcc # 23
short fdbcc_ngle - tbl_fdbcc # 24
short fdbcc_ngl - tbl_fdbcc # 25
short fdbcc_nle - tbl_fdbcc # 26
short fdbcc_nlt - tbl_fdbcc # 27
short fdbcc_nge - tbl_fdbcc # 28
short fdbcc_ngt - tbl_fdbcc # 29
short fdbcc_sneq - tbl_fdbcc # 30
short fdbcc_st - tbl_fdbcc # 31
#########################################################################
# #
# IEEE Nonaware tests #
# #
# For the IEEE nonaware tests, only the false branch changes the #
# counter. However, the true branch may set bsun so we check to see #
# if the NAN bit is set, in which case BSUN and AIOP will be set. #
# #
# The cases EQ and NE are shared by the Aware and Nonaware groups #
# and are incapable of setting the BSUN exception bit. #
# #
# Typically, only one of the two possible branch directions could #
# have the NAN bit set. #
# (This is assuming the mutual exclusiveness of FPSR cc bit groupings #
# is preserved.) #
# #
#########################################################################
#
# equal:
#
# Z
#
fdbcc_eq:
fbeq.w fdbcc_eq_yes # equal?
fdbcc_eq_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_eq_yes:
rts
#
# not equal:
# _
# Z
#
fdbcc_neq:
fbneq.w fdbcc_neq_yes # not equal?
fdbcc_neq_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_neq_yes:
rts
#
# greater than:
# _______
# NANvZvN
#
fdbcc_gt:
fbgt.w fdbcc_gt_yes # greater than?
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fdbcc_false # no;go handle counter
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
bra.w fdbcc_false # no; go handle counter
fdbcc_gt_yes:
rts # do nothing
#
# not greater than:
#
# NANvZvN
#
fdbcc_ngt:
fbngt.w fdbcc_ngt_yes # not greater than?
fdbcc_ngt_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_ngt_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.b fdbcc_ngt_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
fdbcc_ngt_done:
rts # no; do nothing
#
# greater than or equal:
# _____
# Zv(NANvN)
#
fdbcc_ge:
fbge.w fdbcc_ge_yes # greater than or equal?
fdbcc_ge_no:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fdbcc_false # no;go handle counter
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
bra.w fdbcc_false # no; go handle counter
fdbcc_ge_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.b fdbcc_ge_yes_done # no;go do nothing
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
fdbcc_ge_yes_done:
rts # do nothing
#
# not (greater than or equal):
# _
# NANv(N^Z)
#
fdbcc_nge:
fbnge.w fdbcc_nge_yes # not (greater than or equal)?
fdbcc_nge_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_nge_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.b fdbcc_nge_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
fdbcc_nge_done:
rts # no; do nothing
#
# less than:
# _____
# N^(NANvZ)
#
fdbcc_lt:
fblt.w fdbcc_lt_yes # less than?
fdbcc_lt_no:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fdbcc_false # no; go handle counter
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
bra.w fdbcc_false # no; go handle counter
fdbcc_lt_yes:
rts # do nothing
#
# not less than:
# _
# NANv(ZvN)
#
fdbcc_nlt:
fbnlt.w fdbcc_nlt_yes # not less than?
fdbcc_nlt_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_nlt_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.b fdbcc_nlt_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
fdbcc_nlt_done:
rts # no; do nothing
#
# less than or equal:
# ___
# Zv(N^NAN)
#
fdbcc_le:
fble.w fdbcc_le_yes # less than or equal?
fdbcc_le_no:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fdbcc_false # no; go handle counter
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
bra.w fdbcc_false # no; go handle counter
fdbcc_le_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.b fdbcc_le_yes_done # no; go do nothing
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
fdbcc_le_yes_done:
rts # do nothing
#
# not (less than or equal):
# ___
# NANv(NvZ)
#
fdbcc_nle:
fbnle.w fdbcc_nle_yes # not (less than or equal)?
fdbcc_nle_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_nle_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fdbcc_nle_done # no; go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
fdbcc_nle_done:
rts # no; do nothing
#
# greater or less than:
# _____
# NANvZ
#
fdbcc_gl:
fbgl.w fdbcc_gl_yes # greater or less than?
fdbcc_gl_no:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fdbcc_false # no; handle counter
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
bra.w fdbcc_false # no; go handle counter
fdbcc_gl_yes:
rts # do nothing
#
# not (greater or less than):
#
# NANvZ
#
fdbcc_ngl:
fbngl.w fdbcc_ngl_yes # not (greater or less than)?
fdbcc_ngl_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_ngl_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.b fdbcc_ngl_done # no; go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
fdbcc_ngl_done:
rts # no; do nothing
#
# greater, less, or equal:
# ___
# NAN
#
fdbcc_gle:
fbgle.w fdbcc_gle_yes # greater, less, or equal?
fdbcc_gle_no:
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
bra.w fdbcc_false # no; go handle counter
fdbcc_gle_yes:
rts # do nothing
#
# not (greater, less, or equal):
#
# NAN
#
fdbcc_ngle:
fbngle.w fdbcc_ngle_yes # not (greater, less, or equal)?
fdbcc_ngle_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_ngle_yes:
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
rts # no; do nothing
#########################################################################
# #
# Miscellaneous tests #
# #
# For the IEEE miscellaneous tests, all but fdbf and fdbt can set bsun. #
# #
#########################################################################
#
# false:
#
# False
#
fdbcc_f: # no bsun possible
bra.w fdbcc_false # go handle counter
#
# true:
#
# True
#
fdbcc_t: # no bsun possible
rts # do nothing
#
# signalling false:
#
# False
#
fdbcc_sf:
btst &nan_bit, FPSR_CC(%a6) # is NAN set?
beq.w fdbcc_false # no;go handle counter
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
bra.w fdbcc_false # go handle counter
#
# signalling true:
#
# True
#
fdbcc_st:
btst &nan_bit, FPSR_CC(%a6) # is NAN set?
beq.b fdbcc_st_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
fdbcc_st_done:
rts
#
# signalling equal:
#
# Z
#
fdbcc_seq:
fbseq.w fdbcc_seq_yes # signalling equal?
fdbcc_seq_no:
btst &nan_bit, FPSR_CC(%a6) # is NAN set?
beq.w fdbcc_false # no;go handle counter
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
bra.w fdbcc_false # go handle counter
fdbcc_seq_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set?
beq.b fdbcc_seq_yes_done # no;go do nothing
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
fdbcc_seq_yes_done:
rts # yes; do nothing
#
# signalling not equal:
# _
# Z
#
fdbcc_sneq:
fbsneq.w fdbcc_sneq_yes # signalling not equal?
fdbcc_sneq_no:
btst &nan_bit, FPSR_CC(%a6) # is NAN set?
beq.w fdbcc_false # no;go handle counter
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
bra.w fdbcc_false # go handle counter
fdbcc_sneq_yes:
btst &nan_bit, FPSR_CC(%a6) # set BSUN exc bit
beq.w fdbcc_sneq_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # is BSUN enabled?
bne.w fdbcc_bsun # yes; we have an exception
fdbcc_sneq_done:
rts
#########################################################################
# #
# IEEE Aware tests #
# #
# For the IEEE aware tests, action is only taken if the result is false.#
# Therefore, the opposite branch type is used to jump to the decrement #
# routine. #
# The BSUN exception will not be set for any of these tests. #
# #
#########################################################################
#
# ordered greater than:
# _______
# NANvZvN
#
fdbcc_ogt:
fbogt.w fdbcc_ogt_yes # ordered greater than?
fdbcc_ogt_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_ogt_yes:
rts # yes; do nothing
#
# unordered or less or equal:
# _______
# NANvZvN
#
fdbcc_ule:
fbule.w fdbcc_ule_yes # unordered or less or equal?
fdbcc_ule_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_ule_yes:
rts # yes; do nothing
#
# ordered greater than or equal:
# _____
# Zv(NANvN)
#
fdbcc_oge:
fboge.w fdbcc_oge_yes # ordered greater than or equal?
fdbcc_oge_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_oge_yes:
rts # yes; do nothing
#
# unordered or less than:
# _
# NANv(N^Z)
#
fdbcc_ult:
fbult.w fdbcc_ult_yes # unordered or less than?
fdbcc_ult_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_ult_yes:
rts # yes; do nothing
#
# ordered less than:
# _____
# N^(NANvZ)
#
fdbcc_olt:
fbolt.w fdbcc_olt_yes # ordered less than?
fdbcc_olt_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_olt_yes:
rts # yes; do nothing
#
# unordered or greater or equal:
#
# NANvZvN
#
fdbcc_uge:
fbuge.w fdbcc_uge_yes # unordered or greater than?
fdbcc_uge_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_uge_yes:
rts # yes; do nothing
#
# ordered less than or equal:
# ___
# Zv(N^NAN)
#
fdbcc_ole:
fbole.w fdbcc_ole_yes # ordered greater or less than?
fdbcc_ole_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_ole_yes:
rts # yes; do nothing
#
# unordered or greater than:
# ___
# NANv(NvZ)
#
fdbcc_ugt:
fbugt.w fdbcc_ugt_yes # unordered or greater than?
fdbcc_ugt_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_ugt_yes:
rts # yes; do nothing
#
# ordered greater or less than:
# _____
# NANvZ
#
fdbcc_ogl:
fbogl.w fdbcc_ogl_yes # ordered greater or less than?
fdbcc_ogl_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_ogl_yes:
rts # yes; do nothing
#
# unordered or equal:
#
# NANvZ
#
fdbcc_ueq:
fbueq.w fdbcc_ueq_yes # unordered or equal?
fdbcc_ueq_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_ueq_yes:
rts # yes; do nothing
#
# ordered:
# ___
# NAN
#
fdbcc_or:
fbor.w fdbcc_or_yes # ordered?
fdbcc_or_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_or_yes:
rts # yes; do nothing
#
# unordered:
#
# NAN
#
fdbcc_un:
fbun.w fdbcc_un_yes # unordered?
fdbcc_un_no:
bra.w fdbcc_false # no; go handle counter
fdbcc_un_yes:
rts # yes; do nothing
#######################################################################
#
# the bsun exception bit was not set.
#
# (1) subtract 1 from the count register
# (2) if (cr == -1) then
# pc = pc of next instruction
# else
# pc += sign_ext(16-bit displacement)
#
fdbcc_false:
mov.b 1+EXC_OPWORD(%a6), %d1 # fetch lo opword
andi.w &0x7, %d1 # extract count register
bsr.l fetch_dreg # fetch count value
# make sure that d0 isn't corrupted between calls...
subq.w &0x1, %d0 # Dn - 1 -> Dn
bsr.l store_dreg_l # store new count value
cmpi.w %d0, &-0x1 # is (Dn == -1)?
bne.b fdbcc_false_cont # no;
rts
fdbcc_false_cont:
mov.l L_SCR1(%a6),%d0 # fetch displacement
add.l USER_FPIAR(%a6),%d0 # add instruction PC
addq.l &0x4,%d0 # add instruction length
mov.l %d0,EXC_PC(%a6) # set new PC
rts
# the emulation routine set bsun and BSUN was enabled. have to
# fix stack and jump to the bsun handler.
# let the caller of this routine shift the stack frame up to
# eliminate the effective address field.
fdbcc_bsun:
mov.b &fbsun_flg,SPCOND_FLG(%a6)
rts
#########################################################################
# ftrapcc(): routine to emulate the ftrapcc instruction #
# #
# XDEF **************************************************************** #
# _ftrapcc() #
# #
# XREF **************************************************************** #
# none #
# #
# INPUT *************************************************************** #
# none #
# #
# OUTPUT ************************************************************** #
# none #
# #
# ALGORITHM *********************************************************** #
# This routine checks which conditional predicate is specified by #
# the stacked ftrapcc instruction opcode and then branches to a routine #
# for that predicate. The corresponding fbcc instruction is then used #
# to see whether the condition (specified by the stacked FPSR) is true #
# or false. #
# If a BSUN exception should be indicated, the BSUN and ABSUN #
# bits are set in the stacked FPSR. If the BSUN exception is enabled, #
# the fbsun_flg is set in the SPCOND_FLG location on the stack. If an #
# enabled BSUN should not be flagged and the predicate is true, then #
# the ftrapcc_flg is set in the SPCOND_FLG location. These special #
# flags indicate to the calling routine to emulate the exceptional #
# condition. #
# #
#########################################################################
global _ftrapcc
_ftrapcc:
mov.w EXC_CMDREG(%a6),%d0 # fetch predicate
clr.l %d1 # clear scratch reg
mov.b FPSR_CC(%a6),%d1 # fetch fp ccodes
ror.l &0x8,%d1 # rotate to top byte
fmov.l %d1,%fpsr # insert into FPSR
mov.w (tbl_ftrapcc.b,%pc,%d0.w*2), %d1 # load table
jmp (tbl_ftrapcc.b,%pc,%d1.w) # jump to ftrapcc routine
tbl_ftrapcc:
short ftrapcc_f - tbl_ftrapcc # 00
short ftrapcc_eq - tbl_ftrapcc # 01
short ftrapcc_ogt - tbl_ftrapcc # 02
short ftrapcc_oge - tbl_ftrapcc # 03
short ftrapcc_olt - tbl_ftrapcc # 04
short ftrapcc_ole - tbl_ftrapcc # 05
short ftrapcc_ogl - tbl_ftrapcc # 06
short ftrapcc_or - tbl_ftrapcc # 07
short ftrapcc_un - tbl_ftrapcc # 08
short ftrapcc_ueq - tbl_ftrapcc # 09
short ftrapcc_ugt - tbl_ftrapcc # 10
short ftrapcc_uge - tbl_ftrapcc # 11
short ftrapcc_ult - tbl_ftrapcc # 12
short ftrapcc_ule - tbl_ftrapcc # 13
short ftrapcc_neq - tbl_ftrapcc # 14
short ftrapcc_t - tbl_ftrapcc # 15
short ftrapcc_sf - tbl_ftrapcc # 16
short ftrapcc_seq - tbl_ftrapcc # 17
short ftrapcc_gt - tbl_ftrapcc # 18
short ftrapcc_ge - tbl_ftrapcc # 19
short ftrapcc_lt - tbl_ftrapcc # 20
short ftrapcc_le - tbl_ftrapcc # 21
short ftrapcc_gl - tbl_ftrapcc # 22
short ftrapcc_gle - tbl_ftrapcc # 23
short ftrapcc_ngle - tbl_ftrapcc # 24
short ftrapcc_ngl - tbl_ftrapcc # 25
short ftrapcc_nle - tbl_ftrapcc # 26
short ftrapcc_nlt - tbl_ftrapcc # 27
short ftrapcc_nge - tbl_ftrapcc # 28
short ftrapcc_ngt - tbl_ftrapcc # 29
short ftrapcc_sneq - tbl_ftrapcc # 30
short ftrapcc_st - tbl_ftrapcc # 31
#########################################################################
# #
# IEEE Nonaware tests #
# #
# For the IEEE nonaware tests, we set the result based on the #
# floating point condition codes. In addition, we check to see #
# if the NAN bit is set, in which case BSUN and AIOP will be set. #
# #
# The cases EQ and NE are shared by the Aware and Nonaware groups #
# and are incapable of setting the BSUN exception bit. #
# #
# Typically, only one of the two possible branch directions could #
# have the NAN bit set. #
# #
#########################################################################
#
# equal:
#
# Z
#
ftrapcc_eq:
fbeq.w ftrapcc_trap # equal?
ftrapcc_eq_no:
rts # do nothing
#
# not equal:
# _
# Z
#
ftrapcc_neq:
fbneq.w ftrapcc_trap # not equal?
ftrapcc_neq_no:
rts # do nothing
#
# greater than:
# _______
# NANvZvN
#
ftrapcc_gt:
fbgt.w ftrapcc_trap # greater than?
ftrapcc_gt_no:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.b ftrapcc_gt_done # no
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
ftrapcc_gt_done:
rts # no; do nothing
#
# not greater than:
#
# NANvZvN
#
ftrapcc_ngt:
fbngt.w ftrapcc_ngt_yes # not greater than?
ftrapcc_ngt_no:
rts # do nothing
ftrapcc_ngt_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w ftrapcc_trap # no; go take trap
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
bra.w ftrapcc_trap # no; go take trap
#
# greater than or equal:
# _____
# Zv(NANvN)
#
ftrapcc_ge:
fbge.w ftrapcc_ge_yes # greater than or equal?
ftrapcc_ge_no:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.b ftrapcc_ge_done # no; go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
ftrapcc_ge_done:
rts # no; do nothing
ftrapcc_ge_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w ftrapcc_trap # no; go take trap
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
bra.w ftrapcc_trap # no; go take trap
#
# not (greater than or equal):
# _
# NANv(N^Z)
#
ftrapcc_nge:
fbnge.w ftrapcc_nge_yes # not (greater than or equal)?
ftrapcc_nge_no:
rts # do nothing
ftrapcc_nge_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w ftrapcc_trap # no; go take trap
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
bra.w ftrapcc_trap # no; go take trap
#
# less than:
# _____
# N^(NANvZ)
#
ftrapcc_lt:
fblt.w ftrapcc_trap # less than?
ftrapcc_lt_no:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.b ftrapcc_lt_done # no; go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
ftrapcc_lt_done:
rts # no; do nothing
#
# not less than:
# _
# NANv(ZvN)
#
ftrapcc_nlt:
fbnlt.w ftrapcc_nlt_yes # not less than?
ftrapcc_nlt_no:
rts # do nothing
ftrapcc_nlt_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w ftrapcc_trap # no; go take trap
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
bra.w ftrapcc_trap # no; go take trap
#
# less than or equal:
# ___
# Zv(N^NAN)
#
ftrapcc_le:
fble.w ftrapcc_le_yes # less than or equal?
ftrapcc_le_no:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.b ftrapcc_le_done # no; go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
ftrapcc_le_done:
rts # no; do nothing
ftrapcc_le_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w ftrapcc_trap # no; go take trap
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
bra.w ftrapcc_trap # no; go take trap
#
# not (less than or equal):
# ___
# NANv(NvZ)
#
ftrapcc_nle:
fbnle.w ftrapcc_nle_yes # not (less than or equal)?
ftrapcc_nle_no:
rts # do nothing
ftrapcc_nle_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w ftrapcc_trap # no; go take trap
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
bra.w ftrapcc_trap # no; go take trap
#
# greater or less than:
# _____
# NANvZ
#
ftrapcc_gl:
fbgl.w ftrapcc_trap # greater or less than?
ftrapcc_gl_no:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.b ftrapcc_gl_done # no; go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
ftrapcc_gl_done:
rts # no; do nothing
#
# not (greater or less than):
#
# NANvZ
#
ftrapcc_ngl:
fbngl.w ftrapcc_ngl_yes # not (greater or less than)?
ftrapcc_ngl_no:
rts # do nothing
ftrapcc_ngl_yes:
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w ftrapcc_trap # no; go take trap
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
bra.w ftrapcc_trap # no; go take trap
#
# greater, less, or equal:
# ___
# NAN
#
ftrapcc_gle:
fbgle.w ftrapcc_trap # greater, less, or equal?
ftrapcc_gle_no:
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
rts # no; do nothing
#
# not (greater, less, or equal):
#
# NAN
#
ftrapcc_ngle:
fbngle.w ftrapcc_ngle_yes # not (greater, less, or equal)?
ftrapcc_ngle_no:
rts # do nothing
ftrapcc_ngle_yes:
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
bra.w ftrapcc_trap # no; go take trap
#########################################################################
# #
# Miscellaneous tests #
# #
# For the IEEE aware tests, we only have to set the result based on the #
# floating point condition codes. The BSUN exception will not be #
# set for any of these tests. #
# #
#########################################################################
#
# false:
#
# False
#
ftrapcc_f:
rts # do nothing
#
# true:
#
# True
#
ftrapcc_t:
bra.w ftrapcc_trap # go take trap
#
# signalling false:
#
# False
#
ftrapcc_sf:
btst &nan_bit, FPSR_CC(%a6) # set BSUN exc bit
beq.b ftrapcc_sf_done # no; go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
ftrapcc_sf_done:
rts # no; do nothing
#
# signalling true:
#
# True
#
ftrapcc_st:
btst &nan_bit, FPSR_CC(%a6) # set BSUN exc bit
beq.w ftrapcc_trap # no; go take trap
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
bra.w ftrapcc_trap # no; go take trap
#
# signalling equal:
#
# Z
#
ftrapcc_seq:
fbseq.w ftrapcc_seq_yes # signalling equal?
ftrapcc_seq_no:
btst &nan_bit, FPSR_CC(%a6) # set BSUN exc bit
beq.w ftrapcc_seq_done # no; go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
ftrapcc_seq_done:
rts # no; do nothing
ftrapcc_seq_yes:
btst &nan_bit, FPSR_CC(%a6) # set BSUN exc bit
beq.w ftrapcc_trap # no; go take trap
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
bra.w ftrapcc_trap # no; go take trap
#
# signalling not equal:
# _
# Z
#
ftrapcc_sneq:
fbsneq.w ftrapcc_sneq_yes # signalling equal?
ftrapcc_sneq_no:
btst &nan_bit, FPSR_CC(%a6) # set BSUN exc bit
beq.w ftrapcc_sneq_no_done # no; go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
ftrapcc_sneq_no_done:
rts # do nothing
ftrapcc_sneq_yes:
btst &nan_bit, FPSR_CC(%a6) # set BSUN exc bit
beq.w ftrapcc_trap # no; go take trap
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
btst &bsun_bit, FPCR_ENABLE(%a6) # was BSUN set?
bne.w ftrapcc_bsun # yes
bra.w ftrapcc_trap # no; go take trap
#########################################################################
# #
# IEEE Aware tests #
# #
# For the IEEE aware tests, we only have to set the result based on the #
# floating point condition codes. The BSUN exception will not be #
# set for any of these tests. #
# #
#########################################################################
#
# ordered greater than:
# _______
# NANvZvN
#
ftrapcc_ogt:
fbogt.w ftrapcc_trap # ordered greater than?
ftrapcc_ogt_no:
rts # do nothing
#
# unordered or less or equal:
# _______
# NANvZvN
#
ftrapcc_ule:
fbule.w ftrapcc_trap # unordered or less or equal?
ftrapcc_ule_no:
rts # do nothing
#
# ordered greater than or equal:
# _____
# Zv(NANvN)
#
ftrapcc_oge:
fboge.w ftrapcc_trap # ordered greater than or equal?
ftrapcc_oge_no:
rts # do nothing
#
# unordered or less than:
# _
# NANv(N^Z)
#
ftrapcc_ult:
fbult.w ftrapcc_trap # unordered or less than?
ftrapcc_ult_no:
rts # do nothing
#
# ordered less than:
# _____
# N^(NANvZ)
#
ftrapcc_olt:
fbolt.w ftrapcc_trap # ordered less than?
ftrapcc_olt_no:
rts # do nothing
#
# unordered or greater or equal:
#
# NANvZvN
#
ftrapcc_uge:
fbuge.w ftrapcc_trap # unordered or greater than?
ftrapcc_uge_no:
rts # do nothing
#
# ordered less than or equal:
# ___
# Zv(N^NAN)
#
ftrapcc_ole:
fbole.w ftrapcc_trap # ordered greater or less than?
ftrapcc_ole_no:
rts # do nothing
#
# unordered or greater than:
# ___
# NANv(NvZ)
#
ftrapcc_ugt:
fbugt.w ftrapcc_trap # unordered or greater than?
ftrapcc_ugt_no:
rts # do nothing
#
# ordered greater or less than:
# _____
# NANvZ
#
ftrapcc_ogl:
fbogl.w ftrapcc_trap # ordered greater or less than?
ftrapcc_ogl_no:
rts # do nothing
#
# unordered or equal:
#
# NANvZ
#
ftrapcc_ueq:
fbueq.w ftrapcc_trap # unordered or equal?
ftrapcc_ueq_no:
rts # do nothing
#
# ordered:
# ___
# NAN
#
ftrapcc_or:
fbor.w ftrapcc_trap # ordered?
ftrapcc_or_no:
rts # do nothing
#
# unordered:
#
# NAN
#
ftrapcc_un:
fbun.w ftrapcc_trap # unordered?
ftrapcc_un_no:
rts # do nothing
#######################################################################
# the bsun exception bit was not set.
# we will need to jump to the ftrapcc vector. the stack frame
# is the same size as that of the fp unimp instruction. the
# only difference is that the <ea> field should hold the PC
# of the ftrapcc instruction and the vector offset field
# should denote the ftrapcc trap.
ftrapcc_trap:
mov.b &ftrapcc_flg,SPCOND_FLG(%a6)
rts
# the emulation routine set bsun and BSUN was enabled. have to
# fix stack and jump to the bsun handler.
# let the caller of this routine shift the stack frame up to
# eliminate the effective address field.
ftrapcc_bsun:
mov.b &fbsun_flg,SPCOND_FLG(%a6)
rts
#########################################################################
# fscc(): routine to emulate the fscc instruction #
# #
# XDEF **************************************************************** #
# _fscc() #
# #
# XREF **************************************************************** #
# store_dreg_b() - store result to data register file #
# dec_areg() - decrement an areg for -(an) mode #
# inc_areg() - increment an areg for (an)+ mode #
# _dmem_write_byte() - store result to memory #
# #
# INPUT *************************************************************** #
# none #
# #
# OUTPUT ************************************************************** #
# none #
# #
# ALGORITHM *********************************************************** #
# This routine checks which conditional predicate is specified by #
# the stacked fscc instruction opcode and then branches to a routine #
# for that predicate. The corresponding fbcc instruction is then used #
# to see whether the condition (specified by the stacked FPSR) is true #
# or false. #
# If a BSUN exception should be indicated, the BSUN and ABSUN #
# bits are set in the stacked FPSR. If the BSUN exception is enabled, #
# the fbsun_flg is set in the SPCOND_FLG location on the stack. If an #
# enabled BSUN should not be flagged and the predicate is true, then #
# the result is stored to the data register file or memory #
# #
#########################################################################
global _fscc
_fscc:
mov.w EXC_CMDREG(%a6),%d0 # fetch predicate
clr.l %d1 # clear scratch reg
mov.b FPSR_CC(%a6),%d1 # fetch fp ccodes
ror.l &0x8,%d1 # rotate to top byte
fmov.l %d1,%fpsr # insert into FPSR
mov.w (tbl_fscc.b,%pc,%d0.w*2),%d1 # load table
jmp (tbl_fscc.b,%pc,%d1.w) # jump to fscc routine
tbl_fscc:
short fscc_f - tbl_fscc # 00
short fscc_eq - tbl_fscc # 01
short fscc_ogt - tbl_fscc # 02
short fscc_oge - tbl_fscc # 03
short fscc_olt - tbl_fscc # 04
short fscc_ole - tbl_fscc # 05
short fscc_ogl - tbl_fscc # 06
short fscc_or - tbl_fscc # 07
short fscc_un - tbl_fscc # 08
short fscc_ueq - tbl_fscc # 09
short fscc_ugt - tbl_fscc # 10
short fscc_uge - tbl_fscc # 11
short fscc_ult - tbl_fscc # 12
short fscc_ule - tbl_fscc # 13
short fscc_neq - tbl_fscc # 14
short fscc_t - tbl_fscc # 15
short fscc_sf - tbl_fscc # 16
short fscc_seq - tbl_fscc # 17
short fscc_gt - tbl_fscc # 18
short fscc_ge - tbl_fscc # 19
short fscc_lt - tbl_fscc # 20
short fscc_le - tbl_fscc # 21
short fscc_gl - tbl_fscc # 22
short fscc_gle - tbl_fscc # 23
short fscc_ngle - tbl_fscc # 24
short fscc_ngl - tbl_fscc # 25
short fscc_nle - tbl_fscc # 26
short fscc_nlt - tbl_fscc # 27
short fscc_nge - tbl_fscc # 28
short fscc_ngt - tbl_fscc # 29
short fscc_sneq - tbl_fscc # 30
short fscc_st - tbl_fscc # 31
#########################################################################
# #
# IEEE Nonaware tests #
# #
# For the IEEE nonaware tests, we set the result based on the #
# floating point condition codes. In addition, we check to see #
# if the NAN bit is set, in which case BSUN and AIOP will be set. #
# #
# The cases EQ and NE are shared by the Aware and Nonaware groups #
# and are incapable of setting the BSUN exception bit. #
# #
# Typically, only one of the two possible branch directions could #
# have the NAN bit set. #
# #
#########################################################################
#
# equal:
#
# Z
#
fscc_eq:
fbeq.w fscc_eq_yes # equal?
fscc_eq_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_eq_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# not equal:
# _
# Z
#
fscc_neq:
fbneq.w fscc_neq_yes # not equal?
fscc_neq_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_neq_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# greater than:
# _______
# NANvZvN
#
fscc_gt:
fbgt.w fscc_gt_yes # greater than?
fscc_gt_no:
clr.b %d0 # set false
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
fscc_gt_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# not greater than:
#
# NANvZvN
#
fscc_ngt:
fbngt.w fscc_ngt_yes # not greater than?
fscc_ngt_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_ngt_yes:
st %d0 # set true
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
#
# greater than or equal:
# _____
# Zv(NANvN)
#
fscc_ge:
fbge.w fscc_ge_yes # greater than or equal?
fscc_ge_no:
clr.b %d0 # set false
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
fscc_ge_yes:
st %d0 # set true
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
#
# not (greater than or equal):
# _
# NANv(N^Z)
#
fscc_nge:
fbnge.w fscc_nge_yes # not (greater than or equal)?
fscc_nge_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_nge_yes:
st %d0 # set true
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
#
# less than:
# _____
# N^(NANvZ)
#
fscc_lt:
fblt.w fscc_lt_yes # less than?
fscc_lt_no:
clr.b %d0 # set false
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
fscc_lt_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# not less than:
# _
# NANv(ZvN)
#
fscc_nlt:
fbnlt.w fscc_nlt_yes # not less than?
fscc_nlt_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_nlt_yes:
st %d0 # set true
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
#
# less than or equal:
# ___
# Zv(N^NAN)
#
fscc_le:
fble.w fscc_le_yes # less than or equal?
fscc_le_no:
clr.b %d0 # set false
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
fscc_le_yes:
st %d0 # set true
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
#
# not (less than or equal):
# ___
# NANv(NvZ)
#
fscc_nle:
fbnle.w fscc_nle_yes # not (less than or equal)?
fscc_nle_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_nle_yes:
st %d0 # set true
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
#
# greater or less than:
# _____
# NANvZ
#
fscc_gl:
fbgl.w fscc_gl_yes # greater or less than?
fscc_gl_no:
clr.b %d0 # set false
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
fscc_gl_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# not (greater or less than):
#
# NANvZ
#
fscc_ngl:
fbngl.w fscc_ngl_yes # not (greater or less than)?
fscc_ngl_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_ngl_yes:
st %d0 # set true
btst &nan_bit, FPSR_CC(%a6) # is NAN set in cc?
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
#
# greater, less, or equal:
# ___
# NAN
#
fscc_gle:
fbgle.w fscc_gle_yes # greater, less, or equal?
fscc_gle_no:
clr.b %d0 # set false
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
fscc_gle_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# not (greater, less, or equal):
#
# NAN
#
fscc_ngle:
fbngle.w fscc_ngle_yes # not (greater, less, or equal)?
fscc_ngle_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_ngle_yes:
st %d0 # set true
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
#########################################################################
# #
# Miscellaneous tests #
# #
# For the IEEE aware tests, we only have to set the result based on the #
# floating point condition codes. The BSUN exception will not be #
# set for any of these tests. #
# #
#########################################################################
#
# false:
#
# False
#
fscc_f:
clr.b %d0 # set false
bra.w fscc_done # go finish
#
# true:
#
# True
#
fscc_t:
st %d0 # set true
bra.w fscc_done # go finish
#
# signalling false:
#
# False
#
fscc_sf:
clr.b %d0 # set false
btst &nan_bit, FPSR_CC(%a6) # set BSUN exc bit
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
#
# signalling true:
#
# True
#
fscc_st:
st %d0 # set false
btst &nan_bit, FPSR_CC(%a6) # set BSUN exc bit
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
#
# signalling equal:
#
# Z
#
fscc_seq:
fbseq.w fscc_seq_yes # signalling equal?
fscc_seq_no:
clr.b %d0 # set false
btst &nan_bit, FPSR_CC(%a6) # set BSUN exc bit
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
fscc_seq_yes:
st %d0 # set true
btst &nan_bit, FPSR_CC(%a6) # set BSUN exc bit
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
#
# signalling not equal:
# _
# Z
#
fscc_sneq:
fbsneq.w fscc_sneq_yes # signalling equal?
fscc_sneq_no:
clr.b %d0 # set false
btst &nan_bit, FPSR_CC(%a6) # set BSUN exc bit
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
fscc_sneq_yes:
st %d0 # set true
btst &nan_bit, FPSR_CC(%a6) # set BSUN exc bit
beq.w fscc_done # no;go finish
ori.l &bsun_mask+aiop_mask, USER_FPSR(%a6) # set BSUN exc bit
bra.w fscc_chk_bsun # go finish
#########################################################################
# #
# IEEE Aware tests #
# #
# For the IEEE aware tests, we only have to set the result based on the #
# floating point condition codes. The BSUN exception will not be #
# set for any of these tests. #
# #
#########################################################################
#
# ordered greater than:
# _______
# NANvZvN
#
fscc_ogt:
fbogt.w fscc_ogt_yes # ordered greater than?
fscc_ogt_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_ogt_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# unordered or less or equal:
# _______
# NANvZvN
#
fscc_ule:
fbule.w fscc_ule_yes # unordered or less or equal?
fscc_ule_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_ule_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# ordered greater than or equal:
# _____
# Zv(NANvN)
#
fscc_oge:
fboge.w fscc_oge_yes # ordered greater than or equal?
fscc_oge_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_oge_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# unordered or less than:
# _
# NANv(N^Z)
#
fscc_ult:
fbult.w fscc_ult_yes # unordered or less than?
fscc_ult_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_ult_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# ordered less than:
# _____
# N^(NANvZ)
#
fscc_olt:
fbolt.w fscc_olt_yes # ordered less than?
fscc_olt_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_olt_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# unordered or greater or equal:
#
# NANvZvN
#
fscc_uge:
fbuge.w fscc_uge_yes # unordered or greater than?
fscc_uge_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_uge_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# ordered less than or equal:
# ___
# Zv(N^NAN)
#
fscc_ole:
fbole.w fscc_ole_yes # ordered greater or less than?
fscc_ole_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_ole_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# unordered or greater than:
# ___
# NANv(NvZ)
#
fscc_ugt:
fbugt.w fscc_ugt_yes # unordered or greater than?
fscc_ugt_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_ugt_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# ordered greater or less than:
# _____
# NANvZ
#
fscc_ogl:
fbogl.w fscc_ogl_yes # ordered greater or less than?
fscc_ogl_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_ogl_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# unordered or equal:
#
# NANvZ
#
fscc_ueq:
fbueq.w fscc_ueq_yes # unordered or equal?
fscc_ueq_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_ueq_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# ordered:
# ___
# NAN
#
fscc_or:
fbor.w fscc_or_yes # ordered?
fscc_or_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_or_yes:
st %d0 # set true
bra.w fscc_done # go finish
#
# unordered:
#
# NAN
#
fscc_un:
fbun.w fscc_un_yes # unordered?
fscc_un_no:
clr.b %d0 # set false
bra.w fscc_done # go finish
fscc_un_yes:
st %d0 # set true
bra.w fscc_done # go finish
#######################################################################
#
# the bsun exception bit was set. now, check to see is BSUN
# is enabled. if so, don't store result and correct stack frame
# for a bsun exception.
#
fscc_chk_bsun:
btst &bsun_bit,FPCR_ENABLE(%a6) # was BSUN set?
bne.w fscc_bsun
#
# the bsun exception bit was not set.
# the result has been selected.
# now, check to see if the result is to be stored in the data register
# file or in memory.
#
fscc_done:
mov.l %d0,%a0 # save result for a moment
mov.b 1+EXC_OPWORD(%a6),%d1 # fetch lo opword
mov.l %d1,%d0 # make a copy
andi.b &0x38,%d1 # extract src mode
bne.b fscc_mem_op # it's a memory operation
mov.l %d0,%d1
andi.w &0x7,%d1 # pass index in d1
mov.l %a0,%d0 # pass result in d0
bsr.l store_dreg_b # save result in regfile
rts
#
# the stacked <ea> is correct with the exception of:
# -> Dn : <ea> is garbage
#
# if the addressing mode is post-increment or pre-decrement,
# then the address registers have not been updated.
#
fscc_mem_op:
cmpi.b %d1,&0x18 # is <ea> (An)+ ?
beq.b fscc_mem_inc # yes
cmpi.b %d1,&0x20 # is <ea> -(An) ?
beq.b fscc_mem_dec # yes
mov.l %a0,%d0 # pass result in d0
mov.l EXC_EA(%a6),%a0 # fetch <ea>
bsr.l _dmem_write_byte # write result byte
tst.l %d1 # did dstore fail?
bne.w fscc_err # yes
rts
# addressing mode is post-increment. write the result byte. if the write
# fails then don't update the address register. if write passes then
# call inc_areg() to update the address register.
fscc_mem_inc:
mov.l %a0,%d0 # pass result in d0
mov.l EXC_EA(%a6),%a0 # fetch <ea>
bsr.l _dmem_write_byte # write result byte
tst.l %d1 # did dstore fail?
bne.w fscc_err # yes
mov.b 0x1+EXC_OPWORD(%a6),%d1 # fetch opword
andi.w &0x7,%d1 # pass index in d1
movq.l &0x1,%d0 # pass amt to inc by
bsr.l inc_areg # increment address register
rts
# addressing mode is pre-decrement. write the result byte. if the write
# fails then don't update the address register. if the write passes then
# call dec_areg() to update the address register.
fscc_mem_dec:
mov.l %a0,%d0 # pass result in d0
mov.l EXC_EA(%a6),%a0 # fetch <ea>
bsr.l _dmem_write_byte # write result byte
tst.l %d1 # did dstore fail?
bne.w fscc_err # yes
mov.b 0x1+EXC_OPWORD(%a6),%d1 # fetch opword
andi.w &0x7,%d1 # pass index in d1
movq.l &0x1,%d0 # pass amt to dec by
bsr.l dec_areg # decrement address register
rts
# the emulation routine set bsun and BSUN was enabled. have to
# fix stack and jump to the bsun handler.
# let the caller of this routine shift the stack frame up to
# eliminate the effective address field.
fscc_bsun:
mov.b &fbsun_flg,SPCOND_FLG(%a6)
rts
# the byte write to memory has failed. pass the failing effective address
# and a FSLW to funimp_dacc().
fscc_err:
mov.w &0x00a1,EXC_VOFF(%a6)
bra.l facc_finish
#########################################################################
# XDEF **************************************************************** #
# fmovm_dynamic(): emulate "fmovm" dynamic instruction #
# #
# XREF **************************************************************** #
# fetch_dreg() - fetch data register #
# {i,d,}mem_read() - fetch data from memory #
# _mem_write() - write data to memory #
# iea_iacc() - instruction memory access error occurred #
# iea_dacc() - data memory access error occurred #
# restore() - restore An index regs if access error occurred #
# #
# INPUT *************************************************************** #
# None #
# #
# OUTPUT ************************************************************** #
# If instr is "fmovm Dn,-(A7)" from supervisor mode, #
# d0 = size of dump #
# d1 = Dn #
# Else if instruction access error, #
# d0 = FSLW #
# Else if data access error, #
# d0 = FSLW #
# a0 = address of fault #
# Else #
# none. #
# #
# ALGORITHM *********************************************************** #
# The effective address must be calculated since this is entered #
# from an "Unimplemented Effective Address" exception handler. So, we #
# have our own fcalc_ea() routine here. If an access error is flagged #
# by a _{i,d,}mem_read() call, we must exit through the special #
# handler. #
# The data register is determined and its value loaded to get the #
# string of FP registers affected. This value is used as an index into #
# a lookup table such that we can determine the number of bytes #
# involved. #
# If the instruction is "fmovm.x <ea>,Dn", a _mem_read() is used #
# to read in all FP values. Again, _mem_read() may fail and require a #
# special exit. #
# If the instruction is "fmovm.x DN,<ea>", a _mem_write() is used #
# to write all FP values. _mem_write() may also fail. #
# If the instruction is "fmovm.x DN,-(a7)" from supervisor mode, #
# then we return the size of the dump and the string to the caller #
# so that the move can occur outside of this routine. This special #
# case is required so that moves to the system stack are handled #
# correctly. #
# #
# DYNAMIC: #
# fmovm.x dn, <ea> #
# fmovm.x <ea>, dn #
# #
# <WORD 1> <WORD2> #
# 1111 0010 00 |<ea>| 11@& 1000 0$$$ 0000 #
# #
# & = (0): predecrement addressing mode #
# (1): postincrement or control addressing mode #
# @ = (0): move listed regs from memory to the FPU #
# (1): move listed regs from the FPU to memory #
# $$$ : index of data register holding reg select mask #
# #
# NOTES: #
# If the data register holds a zero, then the #
# instruction is a nop. #
# #
#########################################################################
global fmovm_dynamic
fmovm_dynamic:
# extract the data register in which the bit string resides...
mov.b 1+EXC_EXTWORD(%a6),%d1 # fetch extword
andi.w &0x70,%d1 # extract reg bits
lsr.b &0x4,%d1 # shift into lo bits
# fetch the bit string into d0...
bsr.l fetch_dreg # fetch reg string
andi.l &0x000000ff,%d0 # keep only lo byte
mov.l %d0,-(%sp) # save strg
mov.b (tbl_fmovm_size.w,%pc,%d0),%d0
mov.l %d0,-(%sp) # save size
bsr.l fmovm_calc_ea # calculate <ea>
mov.l (%sp)+,%d0 # restore size
mov.l (%sp)+,%d1 # restore strg
# if the bit string is a zero, then the operation is a no-op
# but, make sure that we've calculated ea and advanced the opword pointer
beq.w fmovm_data_done
# separate move ins from move outs...
btst &0x5,EXC_EXTWORD(%a6) # is it a move in or out?
beq.w fmovm_data_in # it's a move out
#############
# MOVE OUT: #
#############
fmovm_data_out:
btst &0x4,EXC_EXTWORD(%a6) # control or predecrement?
bne.w fmovm_out_ctrl # control
############################
fmovm_out_predec:
# for predecrement mode, the bit string is the opposite of both control
# operations and postincrement mode. (bit7 = FP7 ... bit0 = FP0)
# here, we convert it to be just like the others...
mov.b (tbl_fmovm_convert.w,%pc,%d1.w*1),%d1
btst &0x5,EXC_SR(%a6) # user or supervisor mode?
beq.b fmovm_out_ctrl # user
fmovm_out_predec_s:
cmpi.b SPCOND_FLG(%a6),&mda7_flg # is <ea> mode -(a7)?
bne.b fmovm_out_ctrl
# the operation was unfortunately an: fmovm.x dn,-(sp)
# called from supervisor mode.
# we're also passing "size" and "strg" back to the calling routine
rts
############################
fmovm_out_ctrl:
mov.l %a0,%a1 # move <ea> to a1
sub.l %d0,%sp # subtract size of dump
lea (%sp),%a0
tst.b %d1 # should FP0 be moved?
bpl.b fmovm_out_ctrl_fp1 # no
mov.l 0x0+EXC_FP0(%a6),(%a0)+ # yes
mov.l 0x4+EXC_FP0(%a6),(%a0)+
mov.l 0x8+EXC_FP0(%a6),(%a0)+
fmovm_out_ctrl_fp1:
lsl.b &0x1,%d1 # should FP1 be moved?
bpl.b fmovm_out_ctrl_fp2 # no
mov.l 0x0+EXC_FP1(%a6),(%a0)+ # yes
mov.l 0x4+EXC_FP1(%a6),(%a0)+
mov.l 0x8+EXC_FP1(%a6),(%a0)+
fmovm_out_ctrl_fp2:
lsl.b &0x1,%d1 # should FP2 be moved?
bpl.b fmovm_out_ctrl_fp3 # no
fmovm.x &0x20,(%a0) # yes
add.l &0xc,%a0
fmovm_out_ctrl_fp3:
lsl.b &0x1,%d1 # should FP3 be moved?
bpl.b fmovm_out_ctrl_fp4 # no
fmovm.x &0x10,(%a0) # yes
add.l &0xc,%a0
fmovm_out_ctrl_fp4:
lsl.b &0x1,%d1 # should FP4 be moved?
bpl.b fmovm_out_ctrl_fp5 # no
fmovm.x &0x08,(%a0) # yes
add.l &0xc,%a0
fmovm_out_ctrl_fp5:
lsl.b &0x1,%d1 # should FP5 be moved?
bpl.b fmovm_out_ctrl_fp6 # no
fmovm.x &0x04,(%a0) # yes
add.l &0xc,%a0
fmovm_out_ctrl_fp6:
lsl.b &0x1,%d1 # should FP6 be moved?
bpl.b fmovm_out_ctrl_fp7 # no
fmovm.x &0x02,(%a0) # yes
add.l &0xc,%a0
fmovm_out_ctrl_fp7:
lsl.b &0x1,%d1 # should FP7 be moved?
bpl.b fmovm_out_ctrl_done # no
fmovm.x &0x01,(%a0) # yes
add.l &0xc,%a0
fmovm_out_ctrl_done:
mov.l %a1,L_SCR1(%a6)
lea (%sp),%a0 # pass: supervisor src
mov.l %d0,-(%sp) # save size
bsr.l _dmem_write # copy data to user mem
mov.l (%sp)+,%d0
add.l %d0,%sp # clear fpreg data from stack
tst.l %d1 # did dstore err?
bne.w fmovm_out_err # yes
rts
############
# MOVE IN: #
############
fmovm_data_in:
mov.l %a0,L_SCR1(%a6)
sub.l %d0,%sp # make room for fpregs
lea (%sp),%a1
mov.l %d1,-(%sp) # save bit string for later
mov.l %d0,-(%sp) # save # of bytes
bsr.l _dmem_read # copy data from user mem
mov.l (%sp)+,%d0 # retrieve # of bytes
tst.l %d1 # did dfetch fail?
bne.w fmovm_in_err # yes
mov.l (%sp)+,%d1 # load bit string
lea (%sp),%a0 # addr of stack
tst.b %d1 # should FP0 be moved?
bpl.b fmovm_data_in_fp1 # no
mov.l (%a0)+,0x0+EXC_FP0(%a6) # yes
mov.l (%a0)+,0x4+EXC_FP0(%a6)
mov.l (%a0)+,0x8+EXC_FP0(%a6)
fmovm_data_in_fp1:
lsl.b &0x1,%d1 # should FP1 be moved?
bpl.b fmovm_data_in_fp2 # no
mov.l (%a0)+,0x0+EXC_FP1(%a6) # yes
mov.l (%a0)+,0x4+EXC_FP1(%a6)
mov.l (%a0)+,0x8+EXC_FP1(%a6)
fmovm_data_in_fp2:
lsl.b &0x1,%d1 # should FP2 be moved?
bpl.b fmovm_data_in_fp3 # no
fmovm.x (%a0)+,&0x20 # yes
fmovm_data_in_fp3:
lsl.b &0x1,%d1 # should FP3 be moved?
bpl.b fmovm_data_in_fp4 # no
fmovm.x (%a0)+,&0x10 # yes
fmovm_data_in_fp4:
lsl.b &0x1,%d1 # should FP4 be moved?
bpl.b fmovm_data_in_fp5 # no
fmovm.x (%a0)+,&0x08 # yes
fmovm_data_in_fp5:
lsl.b &0x1,%d1 # should FP5 be moved?
bpl.b fmovm_data_in_fp6 # no
fmovm.x (%a0)+,&0x04 # yes
fmovm_data_in_fp6:
lsl.b &0x1,%d1 # should FP6 be moved?
bpl.b fmovm_data_in_fp7 # no
fmovm.x (%a0)+,&0x02 # yes
fmovm_data_in_fp7:
lsl.b &0x1,%d1 # should FP7 be moved?
bpl.b fmovm_data_in_done # no
fmovm.x (%a0)+,&0x01 # yes
fmovm_data_in_done:
add.l %d0,%sp # remove fpregs from stack
rts
#####################################
fmovm_data_done:
rts
##############################################################################
#
# table indexed by the operation's bit string that gives the number
# of bytes that will be moved.
#
# number of bytes = (# of 1's in bit string) * 12(bytes/fpreg)
#
tbl_fmovm_size:
byte 0x00,0x0c,0x0c,0x18,0x0c,0x18,0x18,0x24
byte 0x0c,0x18,0x18,0x24,0x18,0x24,0x24,0x30
byte 0x0c,0x18,0x18,0x24,0x18,0x24,0x24,0x30
byte 0x18,0x24,0x24,0x30,0x24,0x30,0x30,0x3c
byte 0x0c,0x18,0x18,0x24,0x18,0x24,0x24,0x30
byte 0x18,0x24,0x24,0x30,0x24,0x30,0x30,0x3c
byte 0x18,0x24,0x24,0x30,0x24,0x30,0x30,0x3c
byte 0x24,0x30,0x30,0x3c,0x30,0x3c,0x3c,0x48
byte 0x0c,0x18,0x18,0x24,0x18,0x24,0x24,0x30
byte 0x18,0x24,0x24,0x30,0x24,0x30,0x30,0x3c
byte 0x18,0x24,0x24,0x30,0x24,0x30,0x30,0x3c
byte 0x24,0x30,0x30,0x3c,0x30,0x3c,0x3c,0x48
byte 0x18,0x24,0x24,0x30,0x24,0x30,0x30,0x3c
byte 0x24,0x30,0x30,0x3c,0x30,0x3c,0x3c,0x48
byte 0x24,0x30,0x30,0x3c,0x30,0x3c,0x3c,0x48
byte 0x30,0x3c,0x3c,0x48,0x3c,0x48,0x48,0x54
byte 0x0c,0x18,0x18,0x24,0x18,0x24,0x24,0x30
byte 0x18,0x24,0x24,0x30,0x24,0x30,0x30,0x3c
byte 0x18,0x24,0x24,0x30,0x24,0x30,0x30,0x3c
byte 0x24,0x30,0x30,0x3c,0x30,0x3c,0x3c,0x48
byte 0x18,0x24,0x24,0x30,0x24,0x30,0x30,0x3c
byte 0x24,0x30,0x30,0x3c,0x30,0x3c,0x3c,0x48
byte 0x24,0x30,0x30,0x3c,0x30,0x3c,0x3c,0x48
byte 0x30,0x3c,0x3c,0x48,0x3c,0x48,0x48,0x54
byte 0x18,0x24,0x24,0x30,0x24,0x30,0x30,0x3c
byte 0x24,0x30,0x30,0x3c,0x30,0x3c,0x3c,0x48
byte 0x24,0x30,0x30,0x3c,0x30,0x3c,0x3c,0x48
byte 0x30,0x3c,0x3c,0x48,0x3c,0x48,0x48,0x54
byte 0x24,0x30,0x30,0x3c,0x30,0x3c,0x3c,0x48
byte 0x30,0x3c,0x3c,0x48,0x3c,0x48,0x48,0x54
byte 0x30,0x3c,0x3c,0x48,0x3c,0x48,0x48,0x54
byte 0x3c,0x48,0x48,0x54,0x48,0x54,0x54,0x60
#
# table to convert a pre-decrement bit string into a post-increment
# or control bit string.
# ex: 0x00 ==> 0x00
# 0x01 ==> 0x80
# 0x02 ==> 0x40
# .
# .
# 0xfd ==> 0xbf
# 0xfe ==> 0x7f
# 0xff ==> 0xff
#
tbl_fmovm_convert:
byte 0x00,0x80,0x40,0xc0,0x20,0xa0,0x60,0xe0
byte 0x10,0x90,0x50,0xd0,0x30,0xb0,0x70,0xf0
byte 0x08,0x88,0x48,0xc8,0x28,0xa8,0x68,0xe8
byte 0x18,0x98,0x58,0xd8,0x38,0xb8,0x78,0xf8
byte 0x04,0x84,0x44,0xc4,0x24,0xa4,0x64,0xe4
byte 0x14,0x94,0x54,0xd4,0x34,0xb4,0x74,0xf4
byte 0x0c,0x8c,0x4c,0xcc,0x2c,0xac,0x6c,0xec
byte 0x1c,0x9c,0x5c,0xdc,0x3c,0xbc,0x7c,0xfc
byte 0x02,0x82,0x42,0xc2,0x22,0xa2,0x62,0xe2
byte 0x12,0x92,0x52,0xd2,0x32,0xb2,0x72,0xf2
byte 0x0a,0x8a,0x4a,0xca,0x2a,0xaa,0x6a,0xea
byte 0x1a,0x9a,0x5a,0xda,0x3a,0xba,0x7a,0xfa
byte 0x06,0x86,0x46,0xc6,0x26,0xa6,0x66,0xe6
byte 0x16,0x96,0x56,0xd6,0x36,0xb6,0x76,0xf6
byte 0x0e,0x8e,0x4e,0xce,0x2e,0xae,0x6e,0xee
byte 0x1e,0x9e,0x5e,0xde,0x3e,0xbe,0x7e,0xfe
byte 0x01,0x81,0x41,0xc1,0x21,0xa1,0x61,0xe1
byte 0x11,0x91,0x51,0xd1,0x31,0xb1,0x71,0xf1
byte 0x09,0x89,0x49,0xc9,0x29,0xa9,0x69,0xe9
byte 0x19,0x99,0x59,0xd9,0x39,0xb9,0x79,0xf9
byte 0x05,0x85,0x45,0xc5,0x25,0xa5,0x65,0xe5
byte 0x15,0x95,0x55,0xd5,0x35,0xb5,0x75,0xf5
byte 0x0d,0x8d,0x4d,0xcd,0x2d,0xad,0x6d,0xed
byte 0x1d,0x9d,0x5d,0xdd,0x3d,0xbd,0x7d,0xfd
byte 0x03,0x83,0x43,0xc3,0x23,0xa3,0x63,0xe3
byte 0x13,0x93,0x53,0xd3,0x33,0xb3,0x73,0xf3
byte 0x0b,0x8b,0x4b,0xcb,0x2b,0xab,0x6b,0xeb
byte 0x1b,0x9b,0x5b,0xdb,0x3b,0xbb,0x7b,0xfb
byte 0x07,0x87,0x47,0xc7,0x27,0xa7,0x67,0xe7
byte 0x17,0x97,0x57,0xd7,0x37,0xb7,0x77,0xf7
byte 0x0f,0x8f,0x4f,0xcf,0x2f,0xaf,0x6f,0xef
byte 0x1f,0x9f,0x5f,0xdf,0x3f,0xbf,0x7f,0xff
global fmovm_calc_ea
###############################################
# _fmovm_calc_ea: calculate effective address #
###############################################
fmovm_calc_ea:
mov.l %d0,%a0 # move # bytes to a0
# currently, MODE and REG are taken from the EXC_OPWORD. this could be
# easily changed if they were inputs passed in registers.
mov.w EXC_OPWORD(%a6),%d0 # fetch opcode word
mov.w %d0,%d1 # make a copy
andi.w &0x3f,%d0 # extract mode field
andi.l &0x7,%d1 # extract reg field
# jump to the corresponding function for each {MODE,REG} pair.
mov.w (tbl_fea_mode.b,%pc,%d0.w*2),%d0 # fetch jmp distance
jmp (tbl_fea_mode.b,%pc,%d0.w*1) # jmp to correct ea mode
swbeg &64
tbl_fea_mode:
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short faddr_ind_a0 - tbl_fea_mode
short faddr_ind_a1 - tbl_fea_mode
short faddr_ind_a2 - tbl_fea_mode
short faddr_ind_a3 - tbl_fea_mode
short faddr_ind_a4 - tbl_fea_mode
short faddr_ind_a5 - tbl_fea_mode
short faddr_ind_a6 - tbl_fea_mode
short faddr_ind_a7 - tbl_fea_mode
short faddr_ind_p_a0 - tbl_fea_mode
short faddr_ind_p_a1 - tbl_fea_mode
short faddr_ind_p_a2 - tbl_fea_mode
short faddr_ind_p_a3 - tbl_fea_mode
short faddr_ind_p_a4 - tbl_fea_mode
short faddr_ind_p_a5 - tbl_fea_mode
short faddr_ind_p_a6 - tbl_fea_mode
short faddr_ind_p_a7 - tbl_fea_mode
short faddr_ind_m_a0 - tbl_fea_mode
short faddr_ind_m_a1 - tbl_fea_mode
short faddr_ind_m_a2 - tbl_fea_mode
short faddr_ind_m_a3 - tbl_fea_mode
short faddr_ind_m_a4 - tbl_fea_mode
short faddr_ind_m_a5 - tbl_fea_mode
short faddr_ind_m_a6 - tbl_fea_mode
short faddr_ind_m_a7 - tbl_fea_mode
short faddr_ind_disp_a0 - tbl_fea_mode
short faddr_ind_disp_a1 - tbl_fea_mode
short faddr_ind_disp_a2 - tbl_fea_mode
short faddr_ind_disp_a3 - tbl_fea_mode
short faddr_ind_disp_a4 - tbl_fea_mode
short faddr_ind_disp_a5 - tbl_fea_mode
short faddr_ind_disp_a6 - tbl_fea_mode
short faddr_ind_disp_a7 - tbl_fea_mode
short faddr_ind_ext - tbl_fea_mode
short faddr_ind_ext - tbl_fea_mode
short faddr_ind_ext - tbl_fea_mode
short faddr_ind_ext - tbl_fea_mode
short faddr_ind_ext - tbl_fea_mode
short faddr_ind_ext - tbl_fea_mode
short faddr_ind_ext - tbl_fea_mode
short faddr_ind_ext - tbl_fea_mode
short fabs_short - tbl_fea_mode
short fabs_long - tbl_fea_mode
short fpc_ind - tbl_fea_mode
short fpc_ind_ext - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
short tbl_fea_mode - tbl_fea_mode
###################################
# Address register indirect: (An) #
###################################
faddr_ind_a0:
mov.l EXC_DREGS+0x8(%a6),%a0 # Get current a0
rts
faddr_ind_a1:
mov.l EXC_DREGS+0xc(%a6),%a0 # Get current a1
rts
faddr_ind_a2:
mov.l %a2,%a0 # Get current a2
rts
faddr_ind_a3:
mov.l %a3,%a0 # Get current a3
rts
faddr_ind_a4:
mov.l %a4,%a0 # Get current a4
rts
faddr_ind_a5:
mov.l %a5,%a0 # Get current a5
rts
faddr_ind_a6:
mov.l (%a6),%a0 # Get current a6
rts
faddr_ind_a7:
mov.l EXC_A7(%a6),%a0 # Get current a7
rts
#####################################################
# Address register indirect w/ postincrement: (An)+ #
#####################################################
faddr_ind_p_a0:
mov.l EXC_DREGS+0x8(%a6),%d0 # Get current a0
mov.l %d0,%d1
add.l %a0,%d1 # Increment
mov.l %d1,EXC_DREGS+0x8(%a6) # Save incr value
mov.l %d0,%a0
rts
faddr_ind_p_a1:
mov.l EXC_DREGS+0xc(%a6),%d0 # Get current a1
mov.l %d0,%d1
add.l %a0,%d1 # Increment
mov.l %d1,EXC_DREGS+0xc(%a6) # Save incr value
mov.l %d0,%a0
rts
faddr_ind_p_a2:
mov.l %a2,%d0 # Get current a2
mov.l %d0,%d1
add.l %a0,%d1 # Increment
mov.l %d1,%a2 # Save incr value
mov.l %d0,%a0
rts
faddr_ind_p_a3:
mov.l %a3,%d0 # Get current a3
mov.l %d0,%d1
add.l %a0,%d1 # Increment
mov.l %d1,%a3 # Save incr value
mov.l %d0,%a0
rts
faddr_ind_p_a4:
mov.l %a4,%d0 # Get current a4
mov.l %d0,%d1
add.l %a0,%d1 # Increment
mov.l %d1,%a4 # Save incr value
mov.l %d0,%a0
rts
faddr_ind_p_a5:
mov.l %a5,%d0 # Get current a5
mov.l %d0,%d1
add.l %a0,%d1 # Increment
mov.l %d1,%a5 # Save incr value
mov.l %d0,%a0
rts
faddr_ind_p_a6:
mov.l (%a6),%d0 # Get current a6
mov.l %d0,%d1
add.l %a0,%d1 # Increment
mov.l %d1,(%a6) # Save incr value
mov.l %d0,%a0
rts
faddr_ind_p_a7:
mov.b &mia7_flg,SPCOND_FLG(%a6) # set "special case" flag
mov.l EXC_A7(%a6),%d0 # Get current a7
mov.l %d0,%d1
add.l %a0,%d1 # Increment
mov.l %d1,EXC_A7(%a6) # Save incr value
mov.l %d0,%a0
rts
####################################################
# Address register indirect w/ predecrement: -(An) #
####################################################
faddr_ind_m_a0:
mov.l EXC_DREGS+0x8(%a6),%d0 # Get current a0
sub.l %a0,%d0 # Decrement
mov.l %d0,EXC_DREGS+0x8(%a6) # Save decr value
mov.l %d0,%a0
rts
faddr_ind_m_a1:
mov.l EXC_DREGS+0xc(%a6),%d0 # Get current a1
sub.l %a0,%d0 # Decrement
mov.l %d0,EXC_DREGS+0xc(%a6) # Save decr value
mov.l %d0,%a0
rts
faddr_ind_m_a2:
mov.l %a2,%d0 # Get current a2
sub.l %a0,%d0 # Decrement
mov.l %d0,%a2 # Save decr value
mov.l %d0,%a0
rts
faddr_ind_m_a3:
mov.l %a3,%d0 # Get current a3
sub.l %a0,%d0 # Decrement
mov.l %d0,%a3 # Save decr value
mov.l %d0,%a0
rts
faddr_ind_m_a4:
mov.l %a4,%d0 # Get current a4
sub.l %a0,%d0 # Decrement
mov.l %d0,%a4 # Save decr value
mov.l %d0,%a0
rts
faddr_ind_m_a5:
mov.l %a5,%d0 # Get current a5
sub.l %a0,%d0 # Decrement
mov.l %d0,%a5 # Save decr value
mov.l %d0,%a0
rts
faddr_ind_m_a6:
mov.l (%a6),%d0 # Get current a6
sub.l %a0,%d0 # Decrement
mov.l %d0,(%a6) # Save decr value
mov.l %d0,%a0
rts
faddr_ind_m_a7:
mov.b &mda7_flg,SPCOND_FLG(%a6) # set "special case" flag
mov.l EXC_A7(%a6),%d0 # Get current a7
sub.l %a0,%d0 # Decrement
mov.l %d0,EXC_A7(%a6) # Save decr value
mov.l %d0,%a0
rts
########################################################
# Address register indirect w/ displacement: (d16, An) #
########################################################
faddr_ind_disp_a0:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.w %d0,%a0 # sign extend displacement
add.l EXC_DREGS+0x8(%a6),%a0 # a0 + d16
rts
faddr_ind_disp_a1:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.w %d0,%a0 # sign extend displacement
add.l EXC_DREGS+0xc(%a6),%a0 # a1 + d16
rts
faddr_ind_disp_a2:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.w %d0,%a0 # sign extend displacement
add.l %a2,%a0 # a2 + d16
rts
faddr_ind_disp_a3:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.w %d0,%a0 # sign extend displacement
add.l %a3,%a0 # a3 + d16
rts
faddr_ind_disp_a4:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.w %d0,%a0 # sign extend displacement
add.l %a4,%a0 # a4 + d16
rts
faddr_ind_disp_a5:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.w %d0,%a0 # sign extend displacement
add.l %a5,%a0 # a5 + d16
rts
faddr_ind_disp_a6:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.w %d0,%a0 # sign extend displacement
add.l (%a6),%a0 # a6 + d16
rts
faddr_ind_disp_a7:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.w %d0,%a0 # sign extend displacement
add.l EXC_A7(%a6),%a0 # a7 + d16
rts
########################################################################
# Address register indirect w/ index(8-bit displacement): (d8, An, Xn) #
# " " " w/ " (base displacement): (bd, An, Xn) #
# Memory indirect postindexed: ([bd, An], Xn, od) #
# Memory indirect preindexed: ([bd, An, Xn], od) #
########################################################################
faddr_ind_ext:
addq.l &0x8,%d1
bsr.l fetch_dreg # fetch base areg
mov.l %d0,-(%sp)
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word # fetch extword in d0
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.l (%sp)+,%a0
btst &0x8,%d0
bne.w fcalc_mem_ind
mov.l %d0,L_SCR1(%a6) # hold opword
mov.l %d0,%d1
rol.w &0x4,%d1
andi.w &0xf,%d1 # extract index regno
# count on fetch_dreg() not to alter a0...
bsr.l fetch_dreg # fetch index
mov.l %d2,-(%sp) # save d2
mov.l L_SCR1(%a6),%d2 # fetch opword
btst &0xb,%d2 # is it word or long?
bne.b faii8_long
ext.l %d0 # sign extend word index
faii8_long:
mov.l %d2,%d1
rol.w &0x7,%d1
andi.l &0x3,%d1 # extract scale value
lsl.l %d1,%d0 # shift index by scale
extb.l %d2 # sign extend displacement
add.l %d2,%d0 # index + disp
add.l %d0,%a0 # An + (index + disp)
mov.l (%sp)+,%d2 # restore old d2
rts
###########################
# Absolute short: (XXX).W #
###########################
fabs_short:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word # fetch short address
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.w %d0,%a0 # return <ea> in a0
rts
##########################
# Absolute long: (XXX).L #
##########################
fabs_long:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch long address
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.l %d0,%a0 # return <ea> in a0
rts
#######################################################
# Program counter indirect w/ displacement: (d16, PC) #
#######################################################
fpc_ind:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word # fetch word displacement
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.w %d0,%a0 # sign extend displacement
add.l EXC_EXTWPTR(%a6),%a0 # pc + d16
# _imem_read_word() increased the extwptr by 2. need to adjust here.
subq.l &0x2,%a0 # adjust <ea>
rts
##########################################################
# PC indirect w/ index(8-bit displacement): (d8, PC, An) #
# " " w/ " (base displacement): (bd, PC, An) #
# PC memory indirect postindexed: ([bd, PC], Xn, od) #
# PC memory indirect preindexed: ([bd, PC, Xn], od) #
##########################################################
fpc_ind_ext:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word # fetch ext word
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.l EXC_EXTWPTR(%a6),%a0 # put base in a0
subq.l &0x2,%a0 # adjust base
btst &0x8,%d0 # is disp only 8 bits?
bne.w fcalc_mem_ind # calc memory indirect
mov.l %d0,L_SCR1(%a6) # store opword
mov.l %d0,%d1 # make extword copy
rol.w &0x4,%d1 # rotate reg num into place
andi.w &0xf,%d1 # extract register number
# count on fetch_dreg() not to alter a0...
bsr.l fetch_dreg # fetch index
mov.l %d2,-(%sp) # save d2
mov.l L_SCR1(%a6),%d2 # fetch opword
btst &0xb,%d2 # is index word or long?
bne.b fpii8_long # long
ext.l %d0 # sign extend word index
fpii8_long:
mov.l %d2,%d1
rol.w &0x7,%d1 # rotate scale value into place
andi.l &0x3,%d1 # extract scale value
lsl.l %d1,%d0 # shift index by scale
extb.l %d2 # sign extend displacement
add.l %d2,%d0 # disp + index
add.l %d0,%a0 # An + (index + disp)
mov.l (%sp)+,%d2 # restore temp register
rts
# d2 = index
# d3 = base
# d4 = od
# d5 = extword
fcalc_mem_ind:
btst &0x6,%d0 # is the index suppressed?
beq.b fcalc_index
movm.l &0x3c00,-(%sp) # save d2-d5
mov.l %d0,%d5 # put extword in d5
mov.l %a0,%d3 # put base in d3
clr.l %d2 # yes, so index = 0
bra.b fbase_supp_ck
# index:
fcalc_index:
mov.l %d0,L_SCR1(%a6) # save d0 (opword)
bfextu %d0{&16:&4},%d1 # fetch dreg index
bsr.l fetch_dreg
movm.l &0x3c00,-(%sp) # save d2-d5
mov.l %d0,%d2 # put index in d2
mov.l L_SCR1(%a6),%d5
mov.l %a0,%d3
btst &0xb,%d5 # is index word or long?
bne.b fno_ext
ext.l %d2
fno_ext:
bfextu %d5{&21:&2},%d0
lsl.l %d0,%d2
# base address (passed as parameter in d3):
# we clear the value here if it should actually be suppressed.
fbase_supp_ck:
btst &0x7,%d5 # is the bd suppressed?
beq.b fno_base_sup
clr.l %d3
# base displacement:
fno_base_sup:
bfextu %d5{&26:&2},%d0 # get bd size
# beq.l fmovm_error # if (size == 0) it's reserved
cmpi.b %d0,&0x2
blt.b fno_bd
beq.b fget_word_bd
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long
tst.l %d1 # did ifetch fail?
bne.l fcea_iacc # yes
bra.b fchk_ind
fget_word_bd:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word
tst.l %d1 # did ifetch fail?
bne.l fcea_iacc # yes
ext.l %d0 # sign extend bd
fchk_ind:
add.l %d0,%d3 # base += bd
# outer displacement:
fno_bd:
bfextu %d5{&30:&2},%d0 # is od suppressed?
beq.w faii_bd
cmpi.b %d0,&0x2
blt.b fnull_od
beq.b fword_od
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long
tst.l %d1 # did ifetch fail?
bne.l fcea_iacc # yes
bra.b fadd_them
fword_od:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x2,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_word
tst.l %d1 # did ifetch fail?
bne.l fcea_iacc # yes
ext.l %d0 # sign extend od
bra.b fadd_them
fnull_od:
clr.l %d0
fadd_them:
mov.l %d0,%d4
btst &0x2,%d5 # pre or post indexing?
beq.b fpre_indexed
mov.l %d3,%a0
bsr.l _dmem_read_long
tst.l %d1 # did dfetch fail?
bne.w fcea_err # yes
add.l %d2,%d0 # <ea> += index
add.l %d4,%d0 # <ea> += od
bra.b fdone_ea
fpre_indexed:
add.l %d2,%d3 # preindexing
mov.l %d3,%a0
bsr.l _dmem_read_long
tst.l %d1 # did dfetch fail?
bne.w fcea_err # yes
add.l %d4,%d0 # ea += od
bra.b fdone_ea
faii_bd:
add.l %d2,%d3 # ea = (base + bd) + index
mov.l %d3,%d0
fdone_ea:
mov.l %d0,%a0
movm.l (%sp)+,&0x003c # restore d2-d5
rts
#########################################################
fcea_err:
mov.l %d3,%a0
movm.l (%sp)+,&0x003c # restore d2-d5
mov.w &0x0101,%d0
bra.l iea_dacc
fcea_iacc:
movm.l (%sp)+,&0x003c # restore d2-d5
bra.l iea_iacc
fmovm_out_err:
bsr.l restore
mov.w &0x00e1,%d0
bra.b fmovm_err
fmovm_in_err:
bsr.l restore
mov.w &0x0161,%d0
fmovm_err:
mov.l L_SCR1(%a6),%a0
bra.l iea_dacc
#########################################################################
# XDEF **************************************************************** #
# fmovm_ctrl(): emulate fmovm.l of control registers instr #
# #
# XREF **************************************************************** #
# _imem_read_long() - read longword from memory #
# iea_iacc() - _imem_read_long() failed; error recovery #
# #
# INPUT *************************************************************** #
# None #
# #
# OUTPUT ************************************************************** #
# If _imem_read_long() doesn't fail: #
# USER_FPCR(a6) = new FPCR value #
# USER_FPSR(a6) = new FPSR value #
# USER_FPIAR(a6) = new FPIAR value #
# #
# ALGORITHM *********************************************************** #
# Decode the instruction type by looking at the extension word #
# in order to see how many control registers to fetch from memory. #
# Fetch them using _imem_read_long(). If this fetch fails, exit through #
# the special access error exit handler iea_iacc(). #
# #
# Instruction word decoding: #
# #
# fmovem.l #<data>, {FPIAR&|FPCR&|FPSR} #
# #
# WORD1 WORD2 #
# 1111 0010 00 111100 100$ $$00 0000 0000 #
# #
# $$$ (100): FPCR #
# (010): FPSR #
# (001): FPIAR #
# (000): FPIAR #
# #
#########################################################################
global fmovm_ctrl
fmovm_ctrl:
mov.b EXC_EXTWORD(%a6),%d0 # fetch reg select bits
cmpi.b %d0,&0x9c # fpcr & fpsr & fpiar ?
beq.w fctrl_in_7 # yes
cmpi.b %d0,&0x98 # fpcr & fpsr ?
beq.w fctrl_in_6 # yes
cmpi.b %d0,&0x94 # fpcr & fpiar ?
beq.b fctrl_in_5 # yes
# fmovem.l #<data>, fpsr/fpiar
fctrl_in_3:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch FPSR from mem
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.l %d0,USER_FPSR(%a6) # store new FPSR to stack
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch FPIAR from mem
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.l %d0,USER_FPIAR(%a6) # store new FPIAR to stack
rts
# fmovem.l #<data>, fpcr/fpiar
fctrl_in_5:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch FPCR from mem
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.l %d0,USER_FPCR(%a6) # store new FPCR to stack
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch FPIAR from mem
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.l %d0,USER_FPIAR(%a6) # store new FPIAR to stack
rts
# fmovem.l #<data>, fpcr/fpsr
fctrl_in_6:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch FPCR from mem
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.l %d0,USER_FPCR(%a6) # store new FPCR to mem
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch FPSR from mem
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.l %d0,USER_FPSR(%a6) # store new FPSR to mem
rts
# fmovem.l #<data>, fpcr/fpsr/fpiar
fctrl_in_7:
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch FPCR from mem
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.l %d0,USER_FPCR(%a6) # store new FPCR to mem
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch FPSR from mem
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.l %d0,USER_FPSR(%a6) # store new FPSR to mem
mov.l EXC_EXTWPTR(%a6),%a0 # fetch instruction addr
addq.l &0x4,EXC_EXTWPTR(%a6) # incr instruction ptr
bsr.l _imem_read_long # fetch FPIAR from mem
tst.l %d1 # did ifetch fail?
bne.l iea_iacc # yes
mov.l %d0,USER_FPIAR(%a6) # store new FPIAR to mem
rts
#########################################################################
# XDEF **************************************************************** #
# _dcalc_ea(): calc correct <ea> from <ea> stacked on exception #
# #
# XREF **************************************************************** #
# inc_areg() - increment an address register #
# dec_areg() - decrement an address register #
# #
# INPUT *************************************************************** #
# d0 = number of bytes to adjust <ea> by #
# #
# OUTPUT ************************************************************** #
# None #
# #
# ALGORITHM *********************************************************** #
# "Dummy" CALCulate Effective Address: #
# The stacked <ea> for FP unimplemented instructions and opclass #
# two packed instructions is correct with the exception of... #
# #
# 1) -(An) : The register is not updated regardless of size. #
# Also, for extended precision and packed, the #
# stacked <ea> value is 8 bytes too big #
# 2) (An)+ : The register is not updated. #
# 3) #<data> : The upper longword of the immediate operand is #
# stacked b,w,l and s sizes are completely stacked. #
# d,x, and p are not. #
# #
#########################################################################
global _dcalc_ea
_dcalc_ea:
mov.l %d0, %a0 # move # bytes to %a0
mov.b 1+EXC_OPWORD(%a6), %d0 # fetch opcode word
mov.l %d0, %d1 # make a copy
andi.w &0x38, %d0 # extract mode field
andi.l &0x7, %d1 # extract reg field
cmpi.b %d0,&0x18 # is mode (An)+ ?
beq.b dcea_pi # yes
cmpi.b %d0,&0x20 # is mode -(An) ?
beq.b dcea_pd # yes
or.w %d1,%d0 # concat mode,reg
cmpi.b %d0,&0x3c # is mode #<data>?
beq.b dcea_imm # yes
mov.l EXC_EA(%a6),%a0 # return <ea>
rts
# need to set immediate data flag here since we'll need to do
# an imem_read to fetch this later.
dcea_imm:
mov.b &immed_flg,SPCOND_FLG(%a6)
lea ([USER_FPIAR,%a6],0x4),%a0 # no; return <ea>
rts
# here, the <ea> is stacked correctly. however, we must update the
# address register...
dcea_pi:
mov.l %a0,%d0 # pass amt to inc by
bsr.l inc_areg # inc addr register
mov.l EXC_EA(%a6),%a0 # stacked <ea> is correct
rts
# the <ea> is stacked correctly for all but extended and packed which
# the <ea>s are 8 bytes too large.
# it would make no sense to have a pre-decrement to a7 in supervisor
# mode so we don't even worry about this tricky case here : )
dcea_pd:
mov.l %a0,%d0 # pass amt to dec by
bsr.l dec_areg # dec addr register
mov.l EXC_EA(%a6),%a0 # stacked <ea> is correct
cmpi.b %d0,&0xc # is opsize ext or packed?
beq.b dcea_pd2 # yes
rts
dcea_pd2:
sub.l &0x8,%a0 # correct <ea>
mov.l %a0,EXC_EA(%a6) # put correct <ea> on stack
rts
#########################################################################
# XDEF **************************************************************** #
# _calc_ea_fout(): calculate correct stacked <ea> for extended #
# and packed data opclass 3 operations. #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# None #
# #
# OUTPUT ************************************************************** #
# a0 = return correct effective address #
# #
# ALGORITHM *********************************************************** #
# For opclass 3 extended and packed data operations, the <ea> #
# stacked for the exception is incorrect for -(an) and (an)+ addressing #
# modes. Also, while we're at it, the index register itself must get #
# updated. #
# So, for -(an), we must subtract 8 off of the stacked <ea> value #
# and return that value as the correct <ea> and store that value in An. #
# For (an)+, the stacked <ea> is correct but we must adjust An by +12. #
# #
#########################################################################
# This calc_ea is currently used to retrieve the correct <ea>
# for fmove outs of type extended and packed.
global _calc_ea_fout
_calc_ea_fout:
mov.b 1+EXC_OPWORD(%a6),%d0 # fetch opcode word
mov.l %d0,%d1 # make a copy
andi.w &0x38,%d0 # extract mode field
andi.l &0x7,%d1 # extract reg field
cmpi.b %d0,&0x18 # is mode (An)+ ?
beq.b ceaf_pi # yes
cmpi.b %d0,&0x20 # is mode -(An) ?
beq.w ceaf_pd # yes
mov.l EXC_EA(%a6),%a0 # stacked <ea> is correct
rts
# (An)+ : extended and packed fmove out
# : stacked <ea> is correct
# : "An" not updated
ceaf_pi:
mov.w (tbl_ceaf_pi.b,%pc,%d1.w*2),%d1
mov.l EXC_EA(%a6),%a0
jmp (tbl_ceaf_pi.b,%pc,%d1.w*1)
swbeg &0x8
tbl_ceaf_pi:
short ceaf_pi0 - tbl_ceaf_pi
short ceaf_pi1 - tbl_ceaf_pi
short ceaf_pi2 - tbl_ceaf_pi
short ceaf_pi3 - tbl_ceaf_pi
short ceaf_pi4 - tbl_ceaf_pi
short ceaf_pi5 - tbl_ceaf_pi
short ceaf_pi6 - tbl_ceaf_pi
short ceaf_pi7 - tbl_ceaf_pi
ceaf_pi0:
addi.l &0xc,EXC_DREGS+0x8(%a6)
rts
ceaf_pi1:
addi.l &0xc,EXC_DREGS+0xc(%a6)
rts
ceaf_pi2:
add.l &0xc,%a2
rts
ceaf_pi3:
add.l &0xc,%a3
rts
ceaf_pi4:
add.l &0xc,%a4
rts
ceaf_pi5:
add.l &0xc,%a5
rts
ceaf_pi6:
addi.l &0xc,EXC_A6(%a6)
rts
ceaf_pi7:
mov.b &mia7_flg,SPCOND_FLG(%a6)
addi.l &0xc,EXC_A7(%a6)
rts
# -(An) : extended and packed fmove out
# : stacked <ea> = actual <ea> + 8
# : "An" not updated
ceaf_pd:
mov.w (tbl_ceaf_pd.b,%pc,%d1.w*2),%d1
mov.l EXC_EA(%a6),%a0
sub.l &0x8,%a0
sub.l &0x8,EXC_EA(%a6)
jmp (tbl_ceaf_pd.b,%pc,%d1.w*1)
swbeg &0x8
tbl_ceaf_pd:
short ceaf_pd0 - tbl_ceaf_pd
short ceaf_pd1 - tbl_ceaf_pd
short ceaf_pd2 - tbl_ceaf_pd
short ceaf_pd3 - tbl_ceaf_pd
short ceaf_pd4 - tbl_ceaf_pd
short ceaf_pd5 - tbl_ceaf_pd
short ceaf_pd6 - tbl_ceaf_pd
short ceaf_pd7 - tbl_ceaf_pd
ceaf_pd0:
mov.l %a0,EXC_DREGS+0x8(%a6)
rts
ceaf_pd1:
mov.l %a0,EXC_DREGS+0xc(%a6)
rts
ceaf_pd2:
mov.l %a0,%a2
rts
ceaf_pd3:
mov.l %a0,%a3
rts
ceaf_pd4:
mov.l %a0,%a4
rts
ceaf_pd5:
mov.l %a0,%a5
rts
ceaf_pd6:
mov.l %a0,EXC_A6(%a6)
rts
ceaf_pd7:
mov.l %a0,EXC_A7(%a6)
mov.b &mda7_flg,SPCOND_FLG(%a6)
rts
#########################################################################
# XDEF **************************************************************** #
# _load_fop(): load operand for unimplemented FP exception #
# #
# XREF **************************************************************** #
# set_tag_x() - determine ext prec optype tag #
# set_tag_s() - determine sgl prec optype tag #
# set_tag_d() - determine dbl prec optype tag #
# unnorm_fix() - convert normalized number to denorm or zero #
# norm() - normalize a denormalized number #
# get_packed() - fetch a packed operand from memory #
# _dcalc_ea() - calculate <ea>, fixing An in process #
# #
# _imem_read_{word,long}() - read from instruction memory #
# _dmem_read() - read from data memory #
# _dmem_read_{byte,word,long}() - read from data memory #
# #
# facc_in_{b,w,l,d,x}() - mem read failed; special exit point #
# #
# INPUT *************************************************************** #
# None #
# #
# OUTPUT ************************************************************** #
# If memory access doesn't fail: #
# FP_SRC(a6) = source operand in extended precision #
# FP_DST(a6) = destination operand in extended precision #
# #
# ALGORITHM *********************************************************** #
# This is called from the Unimplemented FP exception handler in #
# order to load the source and maybe destination operand into #
# FP_SRC(a6) and FP_DST(a6). If the instruction was opclass zero, load #
# the source and destination from the FP register file. Set the optype #
# tags for both if dyadic, one for monadic. If a number is an UNNORM, #
# convert it to a DENORM or a ZERO. #
# If the instruction is opclass two (memory->reg), then fetch #
# the destination from the register file and the source operand from #
# memory. Tag and fix both as above w/ opclass zero instructions. #
# If the source operand is byte,word,long, or single, it may be #
# in the data register file. If it's actually out in memory, use one of #
# the mem_read() routines to fetch it. If the mem_read() access returns #
# a failing value, exit through the special facc_in() routine which #
# will create an access error exception frame from the current exception #
# frame. #
# Immediate data and regular data accesses are separated because #
# if an immediate data access fails, the resulting fault status #
# longword stacked for the access error exception must have the #
# instruction bit set. #
# #
#########################################################################
global _load_fop
_load_fop:
# 15 13 12 10 9 7 6 0
# / \ / \ / \ / \
# ---------------------------------
# | opclass | RX | RY | EXTENSION | (2nd word of general FP instruction)
# ---------------------------------
#
# bfextu EXC_CMDREG(%a6){&0:&3}, %d0 # extract opclass
# cmpi.b %d0, &0x2 # which class is it? ('000,'010,'011)
# beq.w op010 # handle <ea> -> fpn
# bgt.w op011 # handle fpn -> <ea>
# we're not using op011 for now...
btst &0x6,EXC_CMDREG(%a6)
bne.b op010
############################
# OPCLASS '000: reg -> reg #
############################
op000:
mov.b 1+EXC_CMDREG(%a6),%d0 # fetch extension word lo
btst &0x5,%d0 # testing extension bits
beq.b op000_src # (bit 5 == 0) => monadic
btst &0x4,%d0 # (bit 5 == 1)
beq.b op000_dst # (bit 4 == 0) => dyadic
and.w &0x007f,%d0 # extract extension bits {6:0}
cmpi.w %d0,&0x0038 # is it an fcmp (dyadic) ?
bne.b op000_src # it's an fcmp
op000_dst:
bfextu EXC_CMDREG(%a6){&6:&3}, %d0 # extract dst field
bsr.l load_fpn2 # fetch dst fpreg into FP_DST
bsr.l set_tag_x # get dst optype tag
cmpi.b %d0, &UNNORM # is dst fpreg an UNNORM?
beq.b op000_dst_unnorm # yes
op000_dst_cont:
mov.b %d0, DTAG(%a6) # store the dst optype tag
op000_src:
bfextu EXC_CMDREG(%a6){&3:&3}, %d0 # extract src field
bsr.l load_fpn1 # fetch src fpreg into FP_SRC
bsr.l set_tag_x # get src optype tag
cmpi.b %d0, &UNNORM # is src fpreg an UNNORM?
beq.b op000_src_unnorm # yes
op000_src_cont:
mov.b %d0, STAG(%a6) # store the src optype tag
rts
op000_dst_unnorm:
bsr.l unnorm_fix # fix the dst UNNORM
bra.b op000_dst_cont
op000_src_unnorm:
bsr.l unnorm_fix # fix the src UNNORM
bra.b op000_src_cont
#############################
# OPCLASS '010: <ea> -> reg #
#############################
op010:
mov.w EXC_CMDREG(%a6),%d0 # fetch extension word
btst &0x5,%d0 # testing extension bits
beq.b op010_src # (bit 5 == 0) => monadic
btst &0x4,%d0 # (bit 5 == 1)
beq.b op010_dst # (bit 4 == 0) => dyadic
and.w &0x007f,%d0 # extract extension bits {6:0}
cmpi.w %d0,&0x0038 # is it an fcmp (dyadic) ?
bne.b op010_src # it's an fcmp
op010_dst:
bfextu EXC_CMDREG(%a6){&6:&3}, %d0 # extract dst field
bsr.l load_fpn2 # fetch dst fpreg ptr
bsr.l set_tag_x # get dst type tag
cmpi.b %d0, &UNNORM # is dst fpreg an UNNORM?
beq.b op010_dst_unnorm # yes
op010_dst_cont:
mov.b %d0, DTAG(%a6) # store the dst optype tag
op010_src:
bfextu EXC_CMDREG(%a6){&3:&3}, %d0 # extract src type field
bfextu EXC_OPWORD(%a6){&10:&3}, %d1 # extract <ea> mode field
bne.w fetch_from_mem # src op is in memory
op010_dreg:
clr.b STAG(%a6) # either NORM or ZERO
bfextu EXC_OPWORD(%a6){&13:&3}, %d1 # extract src reg field
mov.w (tbl_op010_dreg.b,%pc,%d0.w*2), %d0 # jmp based on optype
jmp (tbl_op010_dreg.b,%pc,%d0.w*1) # fetch src from dreg
op010_dst_unnorm:
bsr.l unnorm_fix # fix the dst UNNORM
bra.b op010_dst_cont
swbeg &0x8
tbl_op010_dreg:
short opd_long - tbl_op010_dreg
short opd_sgl - tbl_op010_dreg
short tbl_op010_dreg - tbl_op010_dreg
short tbl_op010_dreg - tbl_op010_dreg
short opd_word - tbl_op010_dreg
short tbl_op010_dreg - tbl_op010_dreg
short opd_byte - tbl_op010_dreg
short tbl_op010_dreg - tbl_op010_dreg
#
# LONG: can be either NORM or ZERO...
#
opd_long:
bsr.l fetch_dreg # fetch long in d0
fmov.l %d0, %fp0 # load a long
fmovm.x &0x80, FP_SRC(%a6) # return src op in FP_SRC
fbeq.w opd_long_zero # long is a ZERO
rts
opd_long_zero:
mov.b &ZERO, STAG(%a6) # set ZERO optype flag
rts
#
# WORD: can be either NORM or ZERO...
#
opd_word:
bsr.l fetch_dreg # fetch word in d0
fmov.w %d0, %fp0 # load a word
fmovm.x &0x80, FP_SRC(%a6) # return src op in FP_SRC
fbeq.w opd_word_zero # WORD is a ZERO
rts
opd_word_zero:
mov.b &ZERO, STAG(%a6) # set ZERO optype flag
rts
#
# BYTE: can be either NORM or ZERO...
#
opd_byte:
bsr.l fetch_dreg # fetch word in d0
fmov.b %d0, %fp0 # load a byte
fmovm.x &0x80, FP_SRC(%a6) # return src op in FP_SRC
fbeq.w opd_byte_zero # byte is a ZERO
rts
opd_byte_zero:
mov.b &ZERO, STAG(%a6) # set ZERO optype flag
rts
#
# SGL: can be either NORM, DENORM, ZERO, INF, QNAN or SNAN but not UNNORM
#
# separate SNANs and DENORMs so they can be loaded w/ special care.
# all others can simply be moved "in" using fmove.
#
opd_sgl:
bsr.l fetch_dreg # fetch sgl in d0
mov.l %d0,L_SCR1(%a6)
lea L_SCR1(%a6), %a0 # pass: ptr to the sgl
bsr.l set_tag_s # determine sgl type
mov.b %d0, STAG(%a6) # save the src tag
cmpi.b %d0, &SNAN # is it an SNAN?
beq.w get_sgl_snan # yes
cmpi.b %d0, &DENORM # is it a DENORM?
beq.w get_sgl_denorm # yes
fmov.s (%a0), %fp0 # no, so can load it regular
fmovm.x &0x80, FP_SRC(%a6) # return src op in FP_SRC
rts
##############################################################################
#########################################################################
# fetch_from_mem(): #
# - src is out in memory. must: #
# (1) calc ea - must read AFTER you know the src type since #
# if the ea is -() or ()+, need to know # of bytes. #
# (2) read it in from either user or supervisor space #
# (3) if (b || w || l) then simply read in #
# if (s || d || x) then check for SNAN,UNNORM,DENORM #
# if (packed) then punt for now #
# INPUT: #
# %d0 : src type field #
#########################################################################
fetch_from_mem:
clr.b STAG(%a6) # either NORM or ZERO
mov.w (tbl_fp_type.b,%pc,%d0.w*2), %d0 # index by src type field
jmp (tbl_fp_type.b,%pc,%d0.w*1)
swbeg &0x8
tbl_fp_type:
short load_long - tbl_fp_type
short load_sgl - tbl_fp_type
short load_ext - tbl_fp_type
short load_packed - tbl_fp_type
short load_word - tbl_fp_type
short load_dbl - tbl_fp_type
short load_byte - tbl_fp_type
short tbl_fp_type - tbl_fp_type
#########################################
# load a LONG into %fp0: #
# -number can't fault #
# (1) calc ea #
# (2) read 4 bytes into L_SCR1 #
# (3) fmov.l into %fp0 #
#########################################
load_long:
movq.l &0x4, %d0 # pass: 4 (bytes)
bsr.l _dcalc_ea # calc <ea>; <ea> in %a0
cmpi.b SPCOND_FLG(%a6),&immed_flg
beq.b load_long_immed
bsr.l _dmem_read_long # fetch src operand from memory
tst.l %d1 # did dfetch fail?
bne.l facc_in_l # yes
load_long_cont:
fmov.l %d0, %fp0 # read into %fp0;convert to xprec
fmovm.x &0x80, FP_SRC(%a6) # return src op in FP_SRC
fbeq.w load_long_zero # src op is a ZERO
rts
load_long_zero:
mov.b &ZERO, STAG(%a6) # set optype tag to ZERO
rts
load_long_immed:
bsr.l _imem_read_long # fetch src operand immed data
tst.l %d1 # did ifetch fail?
bne.l funimp_iacc # yes
bra.b load_long_cont
#########################################
# load a WORD into %fp0: #
# -number can't fault #
# (1) calc ea #
# (2) read 2 bytes into L_SCR1 #
# (3) fmov.w into %fp0 #
#########################################
load_word:
movq.l &0x2, %d0 # pass: 2 (bytes)
bsr.l _dcalc_ea # calc <ea>; <ea> in %a0
cmpi.b SPCOND_FLG(%a6),&immed_flg
beq.b load_word_immed
bsr.l _dmem_read_word # fetch src operand from memory
tst.l %d1 # did dfetch fail?
bne.l facc_in_w # yes
load_word_cont:
fmov.w %d0, %fp0 # read into %fp0;convert to xprec
fmovm.x &0x80, FP_SRC(%a6) # return src op in FP_SRC
fbeq.w load_word_zero # src op is a ZERO
rts
load_word_zero:
mov.b &ZERO, STAG(%a6) # set optype tag to ZERO
rts
load_word_immed:
bsr.l _imem_read_word # fetch src operand immed data
tst.l %d1 # did ifetch fail?
bne.l funimp_iacc # yes
bra.b load_word_cont
#########################################
# load a BYTE into %fp0: #
# -number can't fault #
# (1) calc ea #
# (2) read 1 byte into L_SCR1 #
# (3) fmov.b into %fp0 #
#########################################
load_byte:
movq.l &0x1, %d0 # pass: 1 (byte)
bsr.l _dcalc_ea # calc <ea>; <ea> in %a0
cmpi.b SPCOND_FLG(%a6),&immed_flg
beq.b load_byte_immed
bsr.l _dmem_read_byte # fetch src operand from memory
tst.l %d1 # did dfetch fail?
bne.l facc_in_b # yes
load_byte_cont:
fmov.b %d0, %fp0 # read into %fp0;convert to xprec
fmovm.x &0x80, FP_SRC(%a6) # return src op in FP_SRC
fbeq.w load_byte_zero # src op is a ZERO
rts
load_byte_zero:
mov.b &ZERO, STAG(%a6) # set optype tag to ZERO
rts
load_byte_immed:
bsr.l _imem_read_word # fetch src operand immed data
tst.l %d1 # did ifetch fail?
bne.l funimp_iacc # yes
bra.b load_byte_cont
#########################################
# load a SGL into %fp0: #
# -number can't fault #
# (1) calc ea #
# (2) read 4 bytes into L_SCR1 #
# (3) fmov.s into %fp0 #
#########################################
load_sgl:
movq.l &0x4, %d0 # pass: 4 (bytes)
bsr.l _dcalc_ea # calc <ea>; <ea> in %a0
cmpi.b SPCOND_FLG(%a6),&immed_flg
beq.b load_sgl_immed
bsr.l _dmem_read_long # fetch src operand from memory
mov.l %d0, L_SCR1(%a6) # store src op on stack
tst.l %d1 # did dfetch fail?
bne.l facc_in_l # yes
load_sgl_cont:
lea L_SCR1(%a6), %a0 # pass: ptr to sgl src op
bsr.l set_tag_s # determine src type tag
mov.b %d0, STAG(%a6) # save src optype tag on stack
cmpi.b %d0, &DENORM # is it a sgl DENORM?
beq.w get_sgl_denorm # yes
cmpi.b %d0, &SNAN # is it a sgl SNAN?
beq.w get_sgl_snan # yes
fmov.s L_SCR1(%a6), %fp0 # read into %fp0;convert to xprec
fmovm.x &0x80, FP_SRC(%a6) # return src op in FP_SRC
rts
load_sgl_immed:
bsr.l _imem_read_long # fetch src operand immed data
tst.l %d1 # did ifetch fail?
bne.l funimp_iacc # yes
bra.b load_sgl_cont
# must convert sgl denorm format to an Xprec denorm fmt suitable for
# normalization...
# %a0 : points to sgl denorm
get_sgl_denorm:
clr.w FP_SRC_EX(%a6)
bfextu (%a0){&9:&23}, %d0 # fetch sgl hi(_mantissa)
lsl.l &0x8, %d0
mov.l %d0, FP_SRC_HI(%a6) # set ext hi(_mantissa)
clr.l FP_SRC_LO(%a6) # set ext lo(_mantissa)
clr.w FP_SRC_EX(%a6)
btst &0x7, (%a0) # is sgn bit set?
beq.b sgl_dnrm_norm
bset &0x7, FP_SRC_EX(%a6) # set sgn of xprec value
sgl_dnrm_norm:
lea FP_SRC(%a6), %a0
bsr.l norm # normalize number
mov.w &0x3f81, %d1 # xprec exp = 0x3f81
sub.w %d0, %d1 # exp = 0x3f81 - shft amt.
or.w %d1, FP_SRC_EX(%a6) # {sgn,exp}
mov.b &NORM, STAG(%a6) # fix src type tag
rts
# convert sgl to ext SNAN
# %a0 : points to sgl SNAN
get_sgl_snan:
mov.w &0x7fff, FP_SRC_EX(%a6) # set exp of SNAN
bfextu (%a0){&9:&23}, %d0
lsl.l &0x8, %d0 # extract and insert hi(man)
mov.l %d0, FP_SRC_HI(%a6)
clr.l FP_SRC_LO(%a6)
btst &0x7, (%a0) # see if sign of SNAN is set
beq.b no_sgl_snan_sgn
bset &0x7, FP_SRC_EX(%a6)
no_sgl_snan_sgn:
rts
#########################################
# load a DBL into %fp0: #
# -number can't fault #
# (1) calc ea #
# (2) read 8 bytes into L_SCR(1,2)#
# (3) fmov.d into %fp0 #
#########################################
load_dbl:
movq.l &0x8, %d0 # pass: 8 (bytes)
bsr.l _dcalc_ea # calc <ea>; <ea> in %a0
cmpi.b SPCOND_FLG(%a6),&immed_flg
beq.b load_dbl_immed
lea L_SCR1(%a6), %a1 # pass: ptr to input dbl tmp space
movq.l &0x8, %d0 # pass: # bytes to read
bsr.l _dmem_read # fetch src operand from memory
tst.l %d1 # did dfetch fail?
bne.l facc_in_d # yes
load_dbl_cont:
lea L_SCR1(%a6), %a0 # pass: ptr to input dbl
bsr.l set_tag_d # determine src type tag
mov.b %d0, STAG(%a6) # set src optype tag
cmpi.b %d0, &DENORM # is it a dbl DENORM?
beq.w get_dbl_denorm # yes
cmpi.b %d0, &SNAN # is it a dbl SNAN?
beq.w get_dbl_snan # yes
fmov.d L_SCR1(%a6), %fp0 # read into %fp0;convert to xprec
fmovm.x &0x80, FP_SRC(%a6) # return src op in FP_SRC
rts
load_dbl_immed:
lea L_SCR1(%a6), %a1 # pass: ptr to input dbl tmp space
movq.l &0x8, %d0 # pass: # bytes to read
bsr.l _imem_read # fetch src operand from memory
tst.l %d1 # did ifetch fail?
bne.l funimp_iacc # yes
bra.b load_dbl_cont
# must convert dbl denorm format to an Xprec denorm fmt suitable for
# normalization...
# %a0 : loc. of dbl denorm
get_dbl_denorm:
clr.w FP_SRC_EX(%a6)
bfextu (%a0){&12:&31}, %d0 # fetch hi(_mantissa)
mov.l %d0, FP_SRC_HI(%a6)
bfextu 4(%a0){&11:&21}, %d0 # fetch lo(_mantissa)
mov.l &0xb, %d1
lsl.l %d1, %d0
mov.l %d0, FP_SRC_LO(%a6)
btst &0x7, (%a0) # is sgn bit set?
beq.b dbl_dnrm_norm
bset &0x7, FP_SRC_EX(%a6) # set sgn of xprec value
dbl_dnrm_norm:
lea FP_SRC(%a6), %a0
bsr.l norm # normalize number
mov.w &0x3c01, %d1 # xprec exp = 0x3c01
sub.w %d0, %d1 # exp = 0x3c01 - shft amt.
or.w %d1, FP_SRC_EX(%a6) # {sgn,exp}
mov.b &NORM, STAG(%a6) # fix src type tag
rts
# convert dbl to ext SNAN
# %a0 : points to dbl SNAN
get_dbl_snan:
mov.w &0x7fff, FP_SRC_EX(%a6) # set exp of SNAN
bfextu (%a0){&12:&31}, %d0 # fetch hi(_mantissa)
mov.l %d0, FP_SRC_HI(%a6)
bfextu 4(%a0){&11:&21}, %d0 # fetch lo(_mantissa)
mov.l &0xb, %d1
lsl.l %d1, %d0
mov.l %d0, FP_SRC_LO(%a6)
btst &0x7, (%a0) # see if sign of SNAN is set
beq.b no_dbl_snan_sgn
bset &0x7, FP_SRC_EX(%a6)
no_dbl_snan_sgn:
rts
#################################################
# load a Xprec into %fp0: #
# -number can't fault #
# (1) calc ea #
# (2) read 12 bytes into L_SCR(1,2) #
# (3) fmov.x into %fp0 #
#################################################
load_ext:
mov.l &0xc, %d0 # pass: 12 (bytes)
bsr.l _dcalc_ea # calc <ea>
lea FP_SRC(%a6), %a1 # pass: ptr to input ext tmp space
mov.l &0xc, %d0 # pass: # of bytes to read
bsr.l _dmem_read # fetch src operand from memory
tst.l %d1 # did dfetch fail?
bne.l facc_in_x # yes
lea FP_SRC(%a6), %a0 # pass: ptr to src op
bsr.l set_tag_x # determine src type tag
cmpi.b %d0, &UNNORM # is the src op an UNNORM?
beq.b load_ext_unnorm # yes
mov.b %d0, STAG(%a6) # store the src optype tag
rts
load_ext_unnorm:
bsr.l unnorm_fix # fix the src UNNORM
mov.b %d0, STAG(%a6) # store the src optype tag
rts
#################################################
# load a packed into %fp0: #
# -number can't fault #
# (1) calc ea #
# (2) read 12 bytes into L_SCR(1,2,3) #
# (3) fmov.x into %fp0 #
#################################################
load_packed:
bsr.l get_packed
lea FP_SRC(%a6),%a0 # pass ptr to src op
bsr.l set_tag_x # determine src type tag
cmpi.b %d0,&UNNORM # is the src op an UNNORM ZERO?
beq.b load_packed_unnorm # yes
mov.b %d0,STAG(%a6) # store the src optype tag
rts
load_packed_unnorm:
bsr.l unnorm_fix # fix the UNNORM ZERO
mov.b %d0,STAG(%a6) # store the src optype tag
rts
#########################################################################
# XDEF **************************************************************** #
# fout(): move from fp register to memory or data register #
# #
# XREF **************************************************************** #
# _round() - needed to create EXOP for sgl/dbl precision #
# norm() - needed to create EXOP for extended precision #
# ovf_res() - create default overflow result for sgl/dbl precision#
# unf_res() - create default underflow result for sgl/dbl prec. #
# dst_dbl() - create rounded dbl precision result. #
# dst_sgl() - create rounded sgl precision result. #
# fetch_dreg() - fetch dynamic k-factor reg for packed. #
# bindec() - convert FP binary number to packed number. #
# _mem_write() - write data to memory. #
# _mem_write2() - write data to memory unless supv mode -(a7) exc.#
# _dmem_write_{byte,word,long}() - write data to memory. #
# store_dreg_{b,w,l}() - store data to data register file. #
# facc_out_{b,w,l,d,x}() - data access error occurred. #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision source operand #
# d0 = round prec,mode #
# #
# OUTPUT ************************************************************** #
# fp0 : intermediate underflow or overflow result if #
# OVFL/UNFL occurred for a sgl or dbl operand #
# #
# ALGORITHM *********************************************************** #
# This routine is accessed by many handlers that need to do an #
# opclass three move of an operand out to memory. #
# Decode an fmove out (opclass 3) instruction to determine if #
# it's b,w,l,s,d,x, or p in size. b,w,l can be stored to either a data #
# register or memory. The algorithm uses a standard "fmove" to create #
# the rounded result. Also, since exceptions are disabled, this also #
# create the correct OPERR default result if appropriate. #
# For sgl or dbl precision, overflow or underflow can occur. If #
# either occurs and is enabled, the EXOP. #
# For extended precision, the stacked <ea> must be fixed along #
# w/ the address index register as appropriate w/ _calc_ea_fout(). If #
# the source is a denorm and if underflow is enabled, an EXOP must be #
# created. #
# For packed, the k-factor must be fetched from the instruction #
# word or a data register. The <ea> must be fixed as w/ extended #
# precision. Then, bindec() is called to create the appropriate #
# packed result. #
# If at any time an access error is flagged by one of the move- #
# to-memory routines, then a special exit must be made so that the #
# access error can be handled properly. #
# #
#########################################################################
global fout
fout:
bfextu EXC_CMDREG(%a6){&3:&3},%d1 # extract dst fmt
mov.w (tbl_fout.b,%pc,%d1.w*2),%a1 # use as index
jmp (tbl_fout.b,%pc,%a1) # jump to routine
swbeg &0x8
tbl_fout:
short fout_long - tbl_fout
short fout_sgl - tbl_fout
short fout_ext - tbl_fout
short fout_pack - tbl_fout
short fout_word - tbl_fout
short fout_dbl - tbl_fout
short fout_byte - tbl_fout
short fout_pack - tbl_fout
#################################################################
# fmove.b out ###################################################
#################################################################
# Only "Unimplemented Data Type" exceptions enter here. The operand
# is either a DENORM or a NORM.
fout_byte:
tst.b STAG(%a6) # is operand normalized?
bne.b fout_byte_denorm # no
fmovm.x SRC(%a0),&0x80 # load value
fout_byte_norm:
fmov.l %d0,%fpcr # insert rnd prec,mode
fmov.b %fp0,%d0 # exec move out w/ correct rnd mode
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d1 # fetch FPSR
or.w %d1,2+USER_FPSR(%a6) # save new exc,accrued bits
mov.b 1+EXC_OPWORD(%a6),%d1 # extract dst mode
andi.b &0x38,%d1 # is mode == 0? (Dreg dst)
beq.b fout_byte_dn # must save to integer regfile
mov.l EXC_EA(%a6),%a0 # stacked <ea> is correct
bsr.l _dmem_write_byte # write byte
tst.l %d1 # did dstore fail?
bne.l facc_out_b # yes
rts
fout_byte_dn:
mov.b 1+EXC_OPWORD(%a6),%d1 # extract Dn
andi.w &0x7,%d1
bsr.l store_dreg_b
rts
fout_byte_denorm:
mov.l SRC_EX(%a0),%d1
andi.l &0x80000000,%d1 # keep DENORM sign
ori.l &0x00800000,%d1 # make smallest sgl
fmov.s %d1,%fp0
bra.b fout_byte_norm
#################################################################
# fmove.w out ###################################################
#################################################################
# Only "Unimplemented Data Type" exceptions enter here. The operand
# is either a DENORM or a NORM.
fout_word:
tst.b STAG(%a6) # is operand normalized?
bne.b fout_word_denorm # no
fmovm.x SRC(%a0),&0x80 # load value
fout_word_norm:
fmov.l %d0,%fpcr # insert rnd prec:mode
fmov.w %fp0,%d0 # exec move out w/ correct rnd mode
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d1 # fetch FPSR
or.w %d1,2+USER_FPSR(%a6) # save new exc,accrued bits
mov.b 1+EXC_OPWORD(%a6),%d1 # extract dst mode
andi.b &0x38,%d1 # is mode == 0? (Dreg dst)
beq.b fout_word_dn # must save to integer regfile
mov.l EXC_EA(%a6),%a0 # stacked <ea> is correct
bsr.l _dmem_write_word # write word
tst.l %d1 # did dstore fail?
bne.l facc_out_w # yes
rts
fout_word_dn:
mov.b 1+EXC_OPWORD(%a6),%d1 # extract Dn
andi.w &0x7,%d1
bsr.l store_dreg_w
rts
fout_word_denorm:
mov.l SRC_EX(%a0),%d1
andi.l &0x80000000,%d1 # keep DENORM sign
ori.l &0x00800000,%d1 # make smallest sgl
fmov.s %d1,%fp0
bra.b fout_word_norm
#################################################################
# fmove.l out ###################################################
#################################################################
# Only "Unimplemented Data Type" exceptions enter here. The operand
# is either a DENORM or a NORM.
fout_long:
tst.b STAG(%a6) # is operand normalized?
bne.b fout_long_denorm # no
fmovm.x SRC(%a0),&0x80 # load value
fout_long_norm:
fmov.l %d0,%fpcr # insert rnd prec:mode
fmov.l %fp0,%d0 # exec move out w/ correct rnd mode
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d1 # fetch FPSR
or.w %d1,2+USER_FPSR(%a6) # save new exc,accrued bits
fout_long_write:
mov.b 1+EXC_OPWORD(%a6),%d1 # extract dst mode
andi.b &0x38,%d1 # is mode == 0? (Dreg dst)
beq.b fout_long_dn # must save to integer regfile
mov.l EXC_EA(%a6),%a0 # stacked <ea> is correct
bsr.l _dmem_write_long # write long
tst.l %d1 # did dstore fail?
bne.l facc_out_l # yes
rts
fout_long_dn:
mov.b 1+EXC_OPWORD(%a6),%d1 # extract Dn
andi.w &0x7,%d1
bsr.l store_dreg_l
rts
fout_long_denorm:
mov.l SRC_EX(%a0),%d1
andi.l &0x80000000,%d1 # keep DENORM sign
ori.l &0x00800000,%d1 # make smallest sgl
fmov.s %d1,%fp0
bra.b fout_long_norm
#################################################################
# fmove.x out ###################################################
#################################################################
# Only "Unimplemented Data Type" exceptions enter here. The operand
# is either a DENORM or a NORM.
# The DENORM causes an Underflow exception.
fout_ext:
# we copy the extended precision result to FP_SCR0 so that the reserved
# 16-bit field gets zeroed. we do this since we promise not to disturb
# what's at SRC(a0).
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
clr.w 2+FP_SCR0_EX(%a6) # clear reserved field
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
fmovm.x SRC(%a0),&0x80 # return result
bsr.l _calc_ea_fout # fix stacked <ea>
mov.l %a0,%a1 # pass: dst addr
lea FP_SCR0(%a6),%a0 # pass: src addr
mov.l &0xc,%d0 # pass: opsize is 12 bytes
# we must not yet write the extended precision data to the stack
# in the pre-decrement case from supervisor mode or else we'll corrupt
# the stack frame. so, leave it in FP_SRC for now and deal with it later...
cmpi.b SPCOND_FLG(%a6),&mda7_flg
beq.b fout_ext_a7
bsr.l _dmem_write # write ext prec number to memory
tst.l %d1 # did dstore fail?
bne.w fout_ext_err # yes
tst.b STAG(%a6) # is operand normalized?
bne.b fout_ext_denorm # no
rts
# the number is a DENORM. must set the underflow exception bit
fout_ext_denorm:
bset &unfl_bit,FPSR_EXCEPT(%a6) # set underflow exc bit
mov.b FPCR_ENABLE(%a6),%d0
andi.b &0x0a,%d0 # is UNFL or INEX enabled?
bne.b fout_ext_exc # yes
rts
# we don't want to do the write if the exception occurred in supervisor mode
# so _mem_write2() handles this for us.
fout_ext_a7:
bsr.l _mem_write2 # write ext prec number to memory
tst.l %d1 # did dstore fail?
bne.w fout_ext_err # yes
tst.b STAG(%a6) # is operand normalized?
bne.b fout_ext_denorm # no
rts
fout_ext_exc:
lea FP_SCR0(%a6),%a0
bsr.l norm # normalize the mantissa
neg.w %d0 # new exp = -(shft amt)
andi.w &0x7fff,%d0
andi.w &0x8000,FP_SCR0_EX(%a6) # keep only old sign
or.w %d0,FP_SCR0_EX(%a6) # insert new exponent
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
rts
fout_ext_err:
mov.l EXC_A6(%a6),(%a6) # fix stacked a6
bra.l facc_out_x
#########################################################################
# fmove.s out ###########################################################
#########################################################################
fout_sgl:
andi.b &0x30,%d0 # clear rnd prec
ori.b &s_mode*0x10,%d0 # insert sgl prec
mov.l %d0,L_SCR3(%a6) # save rnd prec,mode on stack
#
# operand is a normalized number. first, we check to see if the move out
# would cause either an underflow or overflow. these cases are handled
# separately. otherwise, set the FPCR to the proper rounding mode and
# execute the move.
#
mov.w SRC_EX(%a0),%d0 # extract exponent
andi.w &0x7fff,%d0 # strip sign
cmpi.w %d0,&SGL_HI # will operand overflow?
bgt.w fout_sgl_ovfl # yes; go handle OVFL
beq.w fout_sgl_may_ovfl # maybe; go handle possible OVFL
cmpi.w %d0,&SGL_LO # will operand underflow?
blt.w fout_sgl_unfl # yes; go handle underflow
#
# NORMs(in range) can be stored out by a simple "fmov.s"
# Unnormalized inputs can come through this point.
#
fout_sgl_exg:
fmovm.x SRC(%a0),&0x80 # fetch fop from stack
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fmov.s %fp0,%d0 # store does convert and round
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d1 # save FPSR
or.w %d1,2+USER_FPSR(%a6) # set possible inex2/ainex
fout_sgl_exg_write:
mov.b 1+EXC_OPWORD(%a6),%d1 # extract dst mode
andi.b &0x38,%d1 # is mode == 0? (Dreg dst)
beq.b fout_sgl_exg_write_dn # must save to integer regfile
mov.l EXC_EA(%a6),%a0 # stacked <ea> is correct
bsr.l _dmem_write_long # write long
tst.l %d1 # did dstore fail?
bne.l facc_out_l # yes
rts
fout_sgl_exg_write_dn:
mov.b 1+EXC_OPWORD(%a6),%d1 # extract Dn
andi.w &0x7,%d1
bsr.l store_dreg_l
rts
#
# here, we know that the operand would UNFL if moved out to single prec,
# so, denorm and round and then use generic store single routine to
# write the value to memory.
#
fout_sgl_unfl:
bset &unfl_bit,FPSR_EXCEPT(%a6) # set UNFL
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
mov.l %a0,-(%sp)
clr.l %d0 # pass: S.F. = 0
cmpi.b STAG(%a6),&DENORM # fetch src optype tag
bne.b fout_sgl_unfl_cont # let DENORMs fall through
lea FP_SCR0(%a6),%a0
bsr.l norm # normalize the DENORM
fout_sgl_unfl_cont:
lea FP_SCR0(%a6),%a0 # pass: ptr to operand
mov.l L_SCR3(%a6),%d1 # pass: rnd prec,mode
bsr.l unf_res # calc default underflow result
lea FP_SCR0(%a6),%a0 # pass: ptr to fop
bsr.l dst_sgl # convert to single prec
mov.b 1+EXC_OPWORD(%a6),%d1 # extract dst mode
andi.b &0x38,%d1 # is mode == 0? (Dreg dst)
beq.b fout_sgl_unfl_dn # must save to integer regfile
mov.l EXC_EA(%a6),%a0 # stacked <ea> is correct
bsr.l _dmem_write_long # write long
tst.l %d1 # did dstore fail?
bne.l facc_out_l # yes
bra.b fout_sgl_unfl_chkexc
fout_sgl_unfl_dn:
mov.b 1+EXC_OPWORD(%a6),%d1 # extract Dn
andi.w &0x7,%d1
bsr.l store_dreg_l
fout_sgl_unfl_chkexc:
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0a,%d1 # is UNFL or INEX enabled?
bne.w fout_sd_exc_unfl # yes
addq.l &0x4,%sp
rts
#
# it's definitely an overflow so call ovf_res to get the correct answer
#
fout_sgl_ovfl:
tst.b 3+SRC_HI(%a0) # is result inexact?
bne.b fout_sgl_ovfl_inex2
tst.l SRC_LO(%a0) # is result inexact?
bne.b fout_sgl_ovfl_inex2
ori.w &ovfl_inx_mask,2+USER_FPSR(%a6) # set ovfl/aovfl/ainex
bra.b fout_sgl_ovfl_cont
fout_sgl_ovfl_inex2:
ori.w &ovfinx_mask,2+USER_FPSR(%a6) # set ovfl/aovfl/ainex/inex2
fout_sgl_ovfl_cont:
mov.l %a0,-(%sp)
# call ovf_res() w/ sgl prec and the correct rnd mode to create the default
# overflow result. DON'T save the returned ccodes from ovf_res() since
# fmove out doesn't alter them.
tst.b SRC_EX(%a0) # is operand negative?
smi %d1 # set if so
mov.l L_SCR3(%a6),%d0 # pass: sgl prec,rnd mode
bsr.l ovf_res # calc OVFL result
fmovm.x (%a0),&0x80 # load default overflow result
fmov.s %fp0,%d0 # store to single
mov.b 1+EXC_OPWORD(%a6),%d1 # extract dst mode
andi.b &0x38,%d1 # is mode == 0? (Dreg dst)
beq.b fout_sgl_ovfl_dn # must save to integer regfile
mov.l EXC_EA(%a6),%a0 # stacked <ea> is correct
bsr.l _dmem_write_long # write long
tst.l %d1 # did dstore fail?
bne.l facc_out_l # yes
bra.b fout_sgl_ovfl_chkexc
fout_sgl_ovfl_dn:
mov.b 1+EXC_OPWORD(%a6),%d1 # extract Dn
andi.w &0x7,%d1
bsr.l store_dreg_l
fout_sgl_ovfl_chkexc:
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0a,%d1 # is UNFL or INEX enabled?
bne.w fout_sd_exc_ovfl # yes
addq.l &0x4,%sp
rts
#
# move out MAY overflow:
# (1) force the exp to 0x3fff
# (2) do a move w/ appropriate rnd mode
# (3) if exp still equals zero, then insert original exponent
# for the correct result.
# if exp now equals one, then it overflowed so call ovf_res.
#
fout_sgl_may_ovfl:
mov.w SRC_EX(%a0),%d1 # fetch current sign
andi.w &0x8000,%d1 # keep it,clear exp
ori.w &0x3fff,%d1 # insert exp = 0
mov.w %d1,FP_SCR0_EX(%a6) # insert scaled exp
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6) # copy hi(man)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6) # copy lo(man)
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.x FP_SCR0(%a6),%fp0 # force fop to be rounded
fmov.l &0x0,%fpcr # clear FPCR
fabs.x %fp0 # need absolute value
fcmp.b %fp0,&0x2 # did exponent increase?
fblt.w fout_sgl_exg # no; go finish NORM
bra.w fout_sgl_ovfl # yes; go handle overflow
################
fout_sd_exc_unfl:
mov.l (%sp)+,%a0
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
cmpi.b STAG(%a6),&DENORM # was src a DENORM?
bne.b fout_sd_exc_cont # no
lea FP_SCR0(%a6),%a0
bsr.l norm
neg.l %d0
andi.w &0x7fff,%d0
bfins %d0,FP_SCR0_EX(%a6){&1:&15}
bra.b fout_sd_exc_cont
fout_sd_exc:
fout_sd_exc_ovfl:
mov.l (%sp)+,%a0 # restore a0
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
fout_sd_exc_cont:
bclr &0x7,FP_SCR0_EX(%a6) # clear sign bit
sne.b 2+FP_SCR0_EX(%a6) # set internal sign bit
lea FP_SCR0(%a6),%a0 # pass: ptr to DENORM
mov.b 3+L_SCR3(%a6),%d1
lsr.b &0x4,%d1
andi.w &0x0c,%d1
swap %d1
mov.b 3+L_SCR3(%a6),%d1
lsr.b &0x4,%d1
andi.w &0x03,%d1
clr.l %d0 # pass: zero g,r,s
bsr.l _round # round the DENORM
tst.b 2+FP_SCR0_EX(%a6) # is EXOP negative?
beq.b fout_sd_exc_done # no
bset &0x7,FP_SCR0_EX(%a6) # yes
fout_sd_exc_done:
fmovm.x FP_SCR0(%a6),&0x40 # return EXOP in fp1
rts
#################################################################
# fmove.d out ###################################################
#################################################################
fout_dbl:
andi.b &0x30,%d0 # clear rnd prec
ori.b &d_mode*0x10,%d0 # insert dbl prec
mov.l %d0,L_SCR3(%a6) # save rnd prec,mode on stack
#
# operand is a normalized number. first, we check to see if the move out
# would cause either an underflow or overflow. these cases are handled
# separately. otherwise, set the FPCR to the proper rounding mode and
# execute the move.
#
mov.w SRC_EX(%a0),%d0 # extract exponent
andi.w &0x7fff,%d0 # strip sign
cmpi.w %d0,&DBL_HI # will operand overflow?
bgt.w fout_dbl_ovfl # yes; go handle OVFL
beq.w fout_dbl_may_ovfl # maybe; go handle possible OVFL
cmpi.w %d0,&DBL_LO # will operand underflow?
blt.w fout_dbl_unfl # yes; go handle underflow
#
# NORMs(in range) can be stored out by a simple "fmov.d"
# Unnormalized inputs can come through this point.
#
fout_dbl_exg:
fmovm.x SRC(%a0),&0x80 # fetch fop from stack
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.l &0x0,%fpsr # clear FPSR
fmov.d %fp0,L_SCR1(%a6) # store does convert and round
fmov.l &0x0,%fpcr # clear FPCR
fmov.l %fpsr,%d0 # save FPSR
or.w %d0,2+USER_FPSR(%a6) # set possible inex2/ainex
mov.l EXC_EA(%a6),%a1 # pass: dst addr
lea L_SCR1(%a6),%a0 # pass: src addr
movq.l &0x8,%d0 # pass: opsize is 8 bytes
bsr.l _dmem_write # store dbl fop to memory
tst.l %d1 # did dstore fail?
bne.l facc_out_d # yes
rts # no; so we're finished
#
# here, we know that the operand would UNFL if moved out to double prec,
# so, denorm and round and then use generic store double routine to
# write the value to memory.
#
fout_dbl_unfl:
bset &unfl_bit,FPSR_EXCEPT(%a6) # set UNFL
mov.w SRC_EX(%a0),FP_SCR0_EX(%a6)
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6)
mov.l %a0,-(%sp)
clr.l %d0 # pass: S.F. = 0
cmpi.b STAG(%a6),&DENORM # fetch src optype tag
bne.b fout_dbl_unfl_cont # let DENORMs fall through
lea FP_SCR0(%a6),%a0
bsr.l norm # normalize the DENORM
fout_dbl_unfl_cont:
lea FP_SCR0(%a6),%a0 # pass: ptr to operand
mov.l L_SCR3(%a6),%d1 # pass: rnd prec,mode
bsr.l unf_res # calc default underflow result
lea FP_SCR0(%a6),%a0 # pass: ptr to fop
bsr.l dst_dbl # convert to single prec
mov.l %d0,L_SCR1(%a6)
mov.l %d1,L_SCR2(%a6)
mov.l EXC_EA(%a6),%a1 # pass: dst addr
lea L_SCR1(%a6),%a0 # pass: src addr
movq.l &0x8,%d0 # pass: opsize is 8 bytes
bsr.l _dmem_write # store dbl fop to memory
tst.l %d1 # did dstore fail?
bne.l facc_out_d # yes
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0a,%d1 # is UNFL or INEX enabled?
bne.w fout_sd_exc_unfl # yes
addq.l &0x4,%sp
rts
#
# it's definitely an overflow so call ovf_res to get the correct answer
#
fout_dbl_ovfl:
mov.w 2+SRC_LO(%a0),%d0
andi.w &0x7ff,%d0
bne.b fout_dbl_ovfl_inex2
ori.w &ovfl_inx_mask,2+USER_FPSR(%a6) # set ovfl/aovfl/ainex
bra.b fout_dbl_ovfl_cont
fout_dbl_ovfl_inex2:
ori.w &ovfinx_mask,2+USER_FPSR(%a6) # set ovfl/aovfl/ainex/inex2
fout_dbl_ovfl_cont:
mov.l %a0,-(%sp)
# call ovf_res() w/ dbl prec and the correct rnd mode to create the default
# overflow result. DON'T save the returned ccodes from ovf_res() since
# fmove out doesn't alter them.
tst.b SRC_EX(%a0) # is operand negative?
smi %d1 # set if so
mov.l L_SCR3(%a6),%d0 # pass: dbl prec,rnd mode
bsr.l ovf_res # calc OVFL result
fmovm.x (%a0),&0x80 # load default overflow result
fmov.d %fp0,L_SCR1(%a6) # store to double
mov.l EXC_EA(%a6),%a1 # pass: dst addr
lea L_SCR1(%a6),%a0 # pass: src addr
movq.l &0x8,%d0 # pass: opsize is 8 bytes
bsr.l _dmem_write # store dbl fop to memory
tst.l %d1 # did dstore fail?
bne.l facc_out_d # yes
mov.b FPCR_ENABLE(%a6),%d1
andi.b &0x0a,%d1 # is UNFL or INEX enabled?
bne.w fout_sd_exc_ovfl # yes
addq.l &0x4,%sp
rts
#
# move out MAY overflow:
# (1) force the exp to 0x3fff
# (2) do a move w/ appropriate rnd mode
# (3) if exp still equals zero, then insert original exponent
# for the correct result.
# if exp now equals one, then it overflowed so call ovf_res.
#
fout_dbl_may_ovfl:
mov.w SRC_EX(%a0),%d1 # fetch current sign
andi.w &0x8000,%d1 # keep it,clear exp
ori.w &0x3fff,%d1 # insert exp = 0
mov.w %d1,FP_SCR0_EX(%a6) # insert scaled exp
mov.l SRC_HI(%a0),FP_SCR0_HI(%a6) # copy hi(man)
mov.l SRC_LO(%a0),FP_SCR0_LO(%a6) # copy lo(man)
fmov.l L_SCR3(%a6),%fpcr # set FPCR
fmov.x FP_SCR0(%a6),%fp0 # force fop to be rounded
fmov.l &0x0,%fpcr # clear FPCR
fabs.x %fp0 # need absolute value
fcmp.b %fp0,&0x2 # did exponent increase?
fblt.w fout_dbl_exg # no; go finish NORM
bra.w fout_dbl_ovfl # yes; go handle overflow
#########################################################################
# XDEF **************************************************************** #
# dst_dbl(): create double precision value from extended prec. #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# a0 = pointer to source operand in extended precision #
# #
# OUTPUT ************************************************************** #
# d0 = hi(double precision result) #
# d1 = lo(double precision result) #
# #
# ALGORITHM *********************************************************** #
# #
# Changes extended precision to double precision. #
# Note: no attempt is made to round the extended value to double. #
# dbl_sign = ext_sign #
# dbl_exp = ext_exp - $3fff(ext bias) + $7ff(dbl bias) #
# get rid of ext integer bit #
# dbl_mant = ext_mant{62:12} #
# #
# --------------- --------------- --------------- #
# extended -> |s| exp | |1| ms mant | | ls mant | #
# --------------- --------------- --------------- #
# 95 64 63 62 32 31 11 0 #
# | | #
# | | #
# | | #
# v v #
# --------------- --------------- #
# double -> |s|exp| mant | | mant | #
# --------------- --------------- #
# 63 51 32 31 0 #
# #
#########################################################################
dst_dbl:
clr.l %d0 # clear d0
mov.w FTEMP_EX(%a0),%d0 # get exponent
subi.w &EXT_BIAS,%d0 # subtract extended precision bias
addi.w &DBL_BIAS,%d0 # add double precision bias
tst.b FTEMP_HI(%a0) # is number a denorm?
bmi.b dst_get_dupper # no
subq.w &0x1,%d0 # yes; denorm bias = DBL_BIAS - 1
dst_get_dupper:
swap %d0 # d0 now in upper word
lsl.l &0x4,%d0 # d0 in proper place for dbl prec exp
tst.b FTEMP_EX(%a0) # test sign
bpl.b dst_get_dman # if positive, go process mantissa
bset &0x1f,%d0 # if negative, set sign
dst_get_dman:
mov.l FTEMP_HI(%a0),%d1 # get ms mantissa
bfextu %d1{&1:&20},%d1 # get upper 20 bits of ms
or.l %d1,%d0 # put these bits in ms word of double
mov.l %d0,L_SCR1(%a6) # put the new exp back on the stack
mov.l FTEMP_HI(%a0),%d1 # get ms mantissa
mov.l &21,%d0 # load shift count
lsl.l %d0,%d1 # put lower 11 bits in upper bits
mov.l %d1,L_SCR2(%a6) # build lower lword in memory
mov.l FTEMP_LO(%a0),%d1 # get ls mantissa
bfextu %d1{&0:&21},%d0 # get ls 21 bits of double
mov.l L_SCR2(%a6),%d1
or.l %d0,%d1 # put them in double result
mov.l L_SCR1(%a6),%d0
rts
#########################################################################
# XDEF **************************************************************** #
# dst_sgl(): create single precision value from extended prec #
# #
# XREF **************************************************************** #
# #
# INPUT *************************************************************** #
# a0 = pointer to source operand in extended precision #
# #
# OUTPUT ************************************************************** #
# d0 = single precision result #
# #
# ALGORITHM *********************************************************** #
# #
# Changes extended precision to single precision. #
# sgl_sign = ext_sign #
# sgl_exp = ext_exp - $3fff(ext bias) + $7f(sgl bias) #
# get rid of ext integer bit #
# sgl_mant = ext_mant{62:12} #
# #
# --------------- --------------- --------------- #
# extended -> |s| exp | |1| ms mant | | ls mant | #
# --------------- --------------- --------------- #
# 95 64 63 62 40 32 31 12 0 #
# | | #
# | | #
# | | #
# v v #
# --------------- #
# single -> |s|exp| mant | #
# --------------- #
# 31 22 0 #
# #
#########################################################################
dst_sgl:
clr.l %d0
mov.w FTEMP_EX(%a0),%d0 # get exponent
subi.w &EXT_BIAS,%d0 # subtract extended precision bias
addi.w &SGL_BIAS,%d0 # add single precision bias
tst.b FTEMP_HI(%a0) # is number a denorm?
bmi.b dst_get_supper # no
subq.w &0x1,%d0 # yes; denorm bias = SGL_BIAS - 1
dst_get_supper:
swap %d0 # put exp in upper word of d0
lsl.l &0x7,%d0 # shift it into single exp bits
tst.b FTEMP_EX(%a0) # test sign
bpl.b dst_get_sman # if positive, continue
bset &0x1f,%d0 # if negative, put in sign first
dst_get_sman:
mov.l FTEMP_HI(%a0),%d1 # get ms mantissa
andi.l &0x7fffff00,%d1 # get upper 23 bits of ms
lsr.l &0x8,%d1 # and put them flush right
or.l %d1,%d0 # put these bits in ms word of single
rts
##############################################################################
fout_pack:
bsr.l _calc_ea_fout # fetch the <ea>
mov.l %a0,-(%sp)
mov.b STAG(%a6),%d0 # fetch input type
bne.w fout_pack_not_norm # input is not NORM
fout_pack_norm:
btst &0x4,EXC_CMDREG(%a6) # static or dynamic?
beq.b fout_pack_s # static
fout_pack_d:
mov.b 1+EXC_CMDREG(%a6),%d1 # fetch dynamic reg
lsr.b &0x4,%d1
andi.w &0x7,%d1
bsr.l fetch_dreg # fetch Dn w/ k-factor
bra.b fout_pack_type
fout_pack_s:
mov.b 1+EXC_CMDREG(%a6),%d0 # fetch static field
fout_pack_type:
bfexts %d0{&25:&7},%d0 # extract k-factor
mov.l %d0,-(%sp)
lea FP_SRC(%a6),%a0 # pass: ptr to input
# bindec is currently scrambling FP_SRC for denorm inputs.
# we'll have to change this, but for now, tough luck!!!
bsr.l bindec # convert xprec to packed
# andi.l &0xcfff000f,FP_SCR0(%a6) # clear unused fields
andi.l &0xcffff00f,FP_SCR0(%a6) # clear unused fields
mov.l (%sp)+,%d0
tst.b 3+FP_SCR0_EX(%a6)
bne.b fout_pack_set
tst.l FP_SCR0_HI(%a6)
bne.b fout_pack_set
tst.l FP_SCR0_LO(%a6)
bne.b fout_pack_set
# add the extra condition that only if the k-factor was zero, too, should
# we zero the exponent
tst.l %d0
bne.b fout_pack_set
# "mantissa" is all zero which means that the answer is zero. but, the '040
# algorithm allows the exponent to be non-zero. the 881/2 do not. Therefore,
# if the mantissa is zero, I will zero the exponent, too.
# the question now is whether the exponents sign bit is allowed to be non-zero
# for a zero, also...
andi.w &0xf000,FP_SCR0(%a6)
fout_pack_set:
lea FP_SCR0(%a6),%a0 # pass: src addr
fout_pack_write:
mov.l (%sp)+,%a1 # pass: dst addr
mov.l &0xc,%d0 # pass: opsize is 12 bytes
cmpi.b SPCOND_FLG(%a6),&mda7_flg
beq.b fout_pack_a7
bsr.l _dmem_write # write ext prec number to memory
tst.l %d1 # did dstore fail?
bne.w fout_ext_err # yes
rts
# we don't want to do the write if the exception occurred in supervisor mode
# so _mem_write2() handles this for us.
fout_pack_a7:
bsr.l _mem_write2 # write ext prec number to memory
tst.l %d1 # did dstore fail?
bne.w fout_ext_err # yes
rts
fout_pack_not_norm:
cmpi.b %d0,&DENORM # is it a DENORM?
beq.w fout_pack_norm # yes
lea FP_SRC(%a6),%a0
clr.w 2+FP_SRC_EX(%a6)
cmpi.b %d0,&SNAN # is it an SNAN?
beq.b fout_pack_snan # yes
bra.b fout_pack_write # no
fout_pack_snan:
ori.w &snaniop2_mask,FPSR_EXCEPT(%a6) # set SNAN/AIOP
bset &0x6,FP_SRC_HI(%a6) # set snan bit
bra.b fout_pack_write
#########################################################################
# XDEF **************************************************************** #
# fetch_dreg(): fetch register according to index in d1 #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# d1 = index of register to fetch from #
# #
# OUTPUT ************************************************************** #
# d0 = value of register fetched #
# #
# ALGORITHM *********************************************************** #
# According to the index value in d1 which can range from zero #
# to fifteen, load the corresponding register file value (where #
# address register indexes start at 8). D0/D1/A0/A1/A6/A7 are on the #
# stack. The rest should still be in their original places. #
# #
#########################################################################
# this routine leaves d1 intact for subsequent store_dreg calls.
global fetch_dreg
fetch_dreg:
mov.w (tbl_fdreg.b,%pc,%d1.w*2),%d0
jmp (tbl_fdreg.b,%pc,%d0.w*1)
tbl_fdreg:
short fdreg0 - tbl_fdreg
short fdreg1 - tbl_fdreg
short fdreg2 - tbl_fdreg
short fdreg3 - tbl_fdreg
short fdreg4 - tbl_fdreg
short fdreg5 - tbl_fdreg
short fdreg6 - tbl_fdreg
short fdreg7 - tbl_fdreg
short fdreg8 - tbl_fdreg
short fdreg9 - tbl_fdreg
short fdrega - tbl_fdreg
short fdregb - tbl_fdreg
short fdregc - tbl_fdreg
short fdregd - tbl_fdreg
short fdrege - tbl_fdreg
short fdregf - tbl_fdreg
fdreg0:
mov.l EXC_DREGS+0x0(%a6),%d0
rts
fdreg1:
mov.l EXC_DREGS+0x4(%a6),%d0
rts
fdreg2:
mov.l %d2,%d0
rts
fdreg3:
mov.l %d3,%d0
rts
fdreg4:
mov.l %d4,%d0
rts
fdreg5:
mov.l %d5,%d0
rts
fdreg6:
mov.l %d6,%d0
rts
fdreg7:
mov.l %d7,%d0
rts
fdreg8:
mov.l EXC_DREGS+0x8(%a6),%d0
rts
fdreg9:
mov.l EXC_DREGS+0xc(%a6),%d0
rts
fdrega:
mov.l %a2,%d0
rts
fdregb:
mov.l %a3,%d0
rts
fdregc:
mov.l %a4,%d0
rts
fdregd:
mov.l %a5,%d0
rts
fdrege:
mov.l (%a6),%d0
rts
fdregf:
mov.l EXC_A7(%a6),%d0
rts
#########################################################################
# XDEF **************************************************************** #
# store_dreg_l(): store longword to data register specified by d1 #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# d0 = longowrd value to store #
# d1 = index of register to fetch from #
# #
# OUTPUT ************************************************************** #
# (data register is updated) #
# #
# ALGORITHM *********************************************************** #
# According to the index value in d1, store the longword value #
# in d0 to the corresponding data register. D0/D1 are on the stack #
# while the rest are in their initial places. #
# #
#########################################################################
global store_dreg_l
store_dreg_l:
mov.w (tbl_sdregl.b,%pc,%d1.w*2),%d1
jmp (tbl_sdregl.b,%pc,%d1.w*1)
tbl_sdregl:
short sdregl0 - tbl_sdregl
short sdregl1 - tbl_sdregl
short sdregl2 - tbl_sdregl
short sdregl3 - tbl_sdregl
short sdregl4 - tbl_sdregl
short sdregl5 - tbl_sdregl
short sdregl6 - tbl_sdregl
short sdregl7 - tbl_sdregl
sdregl0:
mov.l %d0,EXC_DREGS+0x0(%a6)
rts
sdregl1:
mov.l %d0,EXC_DREGS+0x4(%a6)
rts
sdregl2:
mov.l %d0,%d2
rts
sdregl3:
mov.l %d0,%d3
rts
sdregl4:
mov.l %d0,%d4
rts
sdregl5:
mov.l %d0,%d5
rts
sdregl6:
mov.l %d0,%d6
rts
sdregl7:
mov.l %d0,%d7
rts
#########################################################################
# XDEF **************************************************************** #
# store_dreg_w(): store word to data register specified by d1 #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# d0 = word value to store #
# d1 = index of register to fetch from #
# #
# OUTPUT ************************************************************** #
# (data register is updated) #
# #
# ALGORITHM *********************************************************** #
# According to the index value in d1, store the word value #
# in d0 to the corresponding data register. D0/D1 are on the stack #
# while the rest are in their initial places. #
# #
#########################################################################
global store_dreg_w
store_dreg_w:
mov.w (tbl_sdregw.b,%pc,%d1.w*2),%d1
jmp (tbl_sdregw.b,%pc,%d1.w*1)
tbl_sdregw:
short sdregw0 - tbl_sdregw
short sdregw1 - tbl_sdregw
short sdregw2 - tbl_sdregw
short sdregw3 - tbl_sdregw
short sdregw4 - tbl_sdregw
short sdregw5 - tbl_sdregw
short sdregw6 - tbl_sdregw
short sdregw7 - tbl_sdregw
sdregw0:
mov.w %d0,2+EXC_DREGS+0x0(%a6)
rts
sdregw1:
mov.w %d0,2+EXC_DREGS+0x4(%a6)
rts
sdregw2:
mov.w %d0,%d2
rts
sdregw3:
mov.w %d0,%d3
rts
sdregw4:
mov.w %d0,%d4
rts
sdregw5:
mov.w %d0,%d5
rts
sdregw6:
mov.w %d0,%d6
rts
sdregw7:
mov.w %d0,%d7
rts
#########################################################################
# XDEF **************************************************************** #
# store_dreg_b(): store byte to data register specified by d1 #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# d0 = byte value to store #
# d1 = index of register to fetch from #
# #
# OUTPUT ************************************************************** #
# (data register is updated) #
# #
# ALGORITHM *********************************************************** #
# According to the index value in d1, store the byte value #
# in d0 to the corresponding data register. D0/D1 are on the stack #
# while the rest are in their initial places. #
# #
#########################################################################
global store_dreg_b
store_dreg_b:
mov.w (tbl_sdregb.b,%pc,%d1.w*2),%d1
jmp (tbl_sdregb.b,%pc,%d1.w*1)
tbl_sdregb:
short sdregb0 - tbl_sdregb
short sdregb1 - tbl_sdregb
short sdregb2 - tbl_sdregb
short sdregb3 - tbl_sdregb
short sdregb4 - tbl_sdregb
short sdregb5 - tbl_sdregb
short sdregb6 - tbl_sdregb
short sdregb7 - tbl_sdregb
sdregb0:
mov.b %d0,3+EXC_DREGS+0x0(%a6)
rts
sdregb1:
mov.b %d0,3+EXC_DREGS+0x4(%a6)
rts
sdregb2:
mov.b %d0,%d2
rts
sdregb3:
mov.b %d0,%d3
rts
sdregb4:
mov.b %d0,%d4
rts
sdregb5:
mov.b %d0,%d5
rts
sdregb6:
mov.b %d0,%d6
rts
sdregb7:
mov.b %d0,%d7
rts
#########################################################################
# XDEF **************************************************************** #
# inc_areg(): increment an address register by the value in d0 #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# d0 = amount to increment by #
# d1 = index of address register to increment #
# #
# OUTPUT ************************************************************** #
# (address register is updated) #
# #
# ALGORITHM *********************************************************** #
# Typically used for an instruction w/ a post-increment <ea>, #
# this routine adds the increment value in d0 to the address register #
# specified by d1. A0/A1/A6/A7 reside on the stack. The rest reside #
# in their original places. #
# For a7, if the increment amount is one, then we have to #
# increment by two. For any a7 update, set the mia7_flag so that if #
# an access error exception occurs later in emulation, this address #
# register update can be undone. #
# #
#########################################################################
global inc_areg
inc_areg:
mov.w (tbl_iareg.b,%pc,%d1.w*2),%d1
jmp (tbl_iareg.b,%pc,%d1.w*1)
tbl_iareg:
short iareg0 - tbl_iareg
short iareg1 - tbl_iareg
short iareg2 - tbl_iareg
short iareg3 - tbl_iareg
short iareg4 - tbl_iareg
short iareg5 - tbl_iareg
short iareg6 - tbl_iareg
short iareg7 - tbl_iareg
iareg0: add.l %d0,EXC_DREGS+0x8(%a6)
rts
iareg1: add.l %d0,EXC_DREGS+0xc(%a6)
rts
iareg2: add.l %d0,%a2
rts
iareg3: add.l %d0,%a3
rts
iareg4: add.l %d0,%a4
rts
iareg5: add.l %d0,%a5
rts
iareg6: add.l %d0,(%a6)
rts
iareg7: mov.b &mia7_flg,SPCOND_FLG(%a6)
cmpi.b %d0,&0x1
beq.b iareg7b
add.l %d0,EXC_A7(%a6)
rts
iareg7b:
addq.l &0x2,EXC_A7(%a6)
rts
#########################################################################
# XDEF **************************************************************** #
# dec_areg(): decrement an address register by the value in d0 #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# d0 = amount to decrement by #
# d1 = index of address register to decrement #
# #
# OUTPUT ************************************************************** #
# (address register is updated) #
# #
# ALGORITHM *********************************************************** #
# Typically used for an instruction w/ a pre-decrement <ea>, #
# this routine adds the decrement value in d0 to the address register #
# specified by d1. A0/A1/A6/A7 reside on the stack. The rest reside #
# in their original places. #
# For a7, if the decrement amount is one, then we have to #
# decrement by two. For any a7 update, set the mda7_flag so that if #
# an access error exception occurs later in emulation, this address #
# register update can be undone. #
# #
#########################################################################
global dec_areg
dec_areg:
mov.w (tbl_dareg.b,%pc,%d1.w*2),%d1
jmp (tbl_dareg.b,%pc,%d1.w*1)
tbl_dareg:
short dareg0 - tbl_dareg
short dareg1 - tbl_dareg
short dareg2 - tbl_dareg
short dareg3 - tbl_dareg
short dareg4 - tbl_dareg
short dareg5 - tbl_dareg
short dareg6 - tbl_dareg
short dareg7 - tbl_dareg
dareg0: sub.l %d0,EXC_DREGS+0x8(%a6)
rts
dareg1: sub.l %d0,EXC_DREGS+0xc(%a6)
rts
dareg2: sub.l %d0,%a2
rts
dareg3: sub.l %d0,%a3
rts
dareg4: sub.l %d0,%a4
rts
dareg5: sub.l %d0,%a5
rts
dareg6: sub.l %d0,(%a6)
rts
dareg7: mov.b &mda7_flg,SPCOND_FLG(%a6)
cmpi.b %d0,&0x1
beq.b dareg7b
sub.l %d0,EXC_A7(%a6)
rts
dareg7b:
subq.l &0x2,EXC_A7(%a6)
rts
##############################################################################
#########################################################################
# XDEF **************************************************************** #
# load_fpn1(): load FP register value into FP_SRC(a6). #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# d0 = index of FP register to load #
# #
# OUTPUT ************************************************************** #
# FP_SRC(a6) = value loaded from FP register file #
# #
# ALGORITHM *********************************************************** #
# Using the index in d0, load FP_SRC(a6) with a number from the #
# FP register file. #
# #
#########################################################################
global load_fpn1
load_fpn1:
mov.w (tbl_load_fpn1.b,%pc,%d0.w*2), %d0
jmp (tbl_load_fpn1.b,%pc,%d0.w*1)
tbl_load_fpn1:
short load_fpn1_0 - tbl_load_fpn1
short load_fpn1_1 - tbl_load_fpn1
short load_fpn1_2 - tbl_load_fpn1
short load_fpn1_3 - tbl_load_fpn1
short load_fpn1_4 - tbl_load_fpn1
short load_fpn1_5 - tbl_load_fpn1
short load_fpn1_6 - tbl_load_fpn1
short load_fpn1_7 - tbl_load_fpn1
load_fpn1_0:
mov.l 0+EXC_FP0(%a6), 0+FP_SRC(%a6)
mov.l 4+EXC_FP0(%a6), 4+FP_SRC(%a6)
mov.l 8+EXC_FP0(%a6), 8+FP_SRC(%a6)
lea FP_SRC(%a6), %a0
rts
load_fpn1_1:
mov.l 0+EXC_FP1(%a6), 0+FP_SRC(%a6)
mov.l 4+EXC_FP1(%a6), 4+FP_SRC(%a6)
mov.l 8+EXC_FP1(%a6), 8+FP_SRC(%a6)
lea FP_SRC(%a6), %a0
rts
load_fpn1_2:
fmovm.x &0x20, FP_SRC(%a6)
lea FP_SRC(%a6), %a0
rts
load_fpn1_3:
fmovm.x &0x10, FP_SRC(%a6)
lea FP_SRC(%a6), %a0
rts
load_fpn1_4:
fmovm.x &0x08, FP_SRC(%a6)
lea FP_SRC(%a6), %a0
rts
load_fpn1_5:
fmovm.x &0x04, FP_SRC(%a6)
lea FP_SRC(%a6), %a0
rts
load_fpn1_6:
fmovm.x &0x02, FP_SRC(%a6)
lea FP_SRC(%a6), %a0
rts
load_fpn1_7:
fmovm.x &0x01, FP_SRC(%a6)
lea FP_SRC(%a6), %a0
rts
#############################################################################
#########################################################################
# XDEF **************************************************************** #
# load_fpn2(): load FP register value into FP_DST(a6). #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# d0 = index of FP register to load #
# #
# OUTPUT ************************************************************** #
# FP_DST(a6) = value loaded from FP register file #
# #
# ALGORITHM *********************************************************** #
# Using the index in d0, load FP_DST(a6) with a number from the #
# FP register file. #
# #
#########################################################################
global load_fpn2
load_fpn2:
mov.w (tbl_load_fpn2.b,%pc,%d0.w*2), %d0
jmp (tbl_load_fpn2.b,%pc,%d0.w*1)
tbl_load_fpn2:
short load_fpn2_0 - tbl_load_fpn2
short load_fpn2_1 - tbl_load_fpn2
short load_fpn2_2 - tbl_load_fpn2
short load_fpn2_3 - tbl_load_fpn2
short load_fpn2_4 - tbl_load_fpn2
short load_fpn2_5 - tbl_load_fpn2
short load_fpn2_6 - tbl_load_fpn2
short load_fpn2_7 - tbl_load_fpn2
load_fpn2_0:
mov.l 0+EXC_FP0(%a6), 0+FP_DST(%a6)
mov.l 4+EXC_FP0(%a6), 4+FP_DST(%a6)
mov.l 8+EXC_FP0(%a6), 8+FP_DST(%a6)
lea FP_DST(%a6), %a0
rts
load_fpn2_1:
mov.l 0+EXC_FP1(%a6), 0+FP_DST(%a6)
mov.l 4+EXC_FP1(%a6), 4+FP_DST(%a6)
mov.l 8+EXC_FP1(%a6), 8+FP_DST(%a6)
lea FP_DST(%a6), %a0
rts
load_fpn2_2:
fmovm.x &0x20, FP_DST(%a6)
lea FP_DST(%a6), %a0
rts
load_fpn2_3:
fmovm.x &0x10, FP_DST(%a6)
lea FP_DST(%a6), %a0
rts
load_fpn2_4:
fmovm.x &0x08, FP_DST(%a6)
lea FP_DST(%a6), %a0
rts
load_fpn2_5:
fmovm.x &0x04, FP_DST(%a6)
lea FP_DST(%a6), %a0
rts
load_fpn2_6:
fmovm.x &0x02, FP_DST(%a6)
lea FP_DST(%a6), %a0
rts
load_fpn2_7:
fmovm.x &0x01, FP_DST(%a6)
lea FP_DST(%a6), %a0
rts
#############################################################################
#########################################################################
# XDEF **************************************************************** #
# store_fpreg(): store an fp value to the fpreg designated d0. #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# fp0 = extended precision value to store #
# d0 = index of floating-point register #
# #
# OUTPUT ************************************************************** #
# None #
# #
# ALGORITHM *********************************************************** #
# Store the value in fp0 to the FP register designated by the #
# value in d0. The FP number can be DENORM or SNAN so we have to be #
# careful that we don't take an exception here. #
# #
#########################################################################
global store_fpreg
store_fpreg:
mov.w (tbl_store_fpreg.b,%pc,%d0.w*2), %d0
jmp (tbl_store_fpreg.b,%pc,%d0.w*1)
tbl_store_fpreg:
short store_fpreg_0 - tbl_store_fpreg
short store_fpreg_1 - tbl_store_fpreg
short store_fpreg_2 - tbl_store_fpreg
short store_fpreg_3 - tbl_store_fpreg
short store_fpreg_4 - tbl_store_fpreg
short store_fpreg_5 - tbl_store_fpreg
short store_fpreg_6 - tbl_store_fpreg
short store_fpreg_7 - tbl_store_fpreg
store_fpreg_0:
fmovm.x &0x80, EXC_FP0(%a6)
rts
store_fpreg_1:
fmovm.x &0x80, EXC_FP1(%a6)
rts
store_fpreg_2:
fmovm.x &0x01, -(%sp)
fmovm.x (%sp)+, &0x20
rts
store_fpreg_3:
fmovm.x &0x01, -(%sp)
fmovm.x (%sp)+, &0x10
rts
store_fpreg_4:
fmovm.x &0x01, -(%sp)
fmovm.x (%sp)+, &0x08
rts
store_fpreg_5:
fmovm.x &0x01, -(%sp)
fmovm.x (%sp)+, &0x04
rts
store_fpreg_6:
fmovm.x &0x01, -(%sp)
fmovm.x (%sp)+, &0x02
rts
store_fpreg_7:
fmovm.x &0x01, -(%sp)
fmovm.x (%sp)+, &0x01
rts
#########################################################################
# XDEF **************************************************************** #
# _denorm(): denormalize an intermediate result #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# a0 = points to the operand to be denormalized #
# (in the internal extended format) #
# #
# d0 = rounding precision #
# #
# OUTPUT ************************************************************** #
# a0 = pointer to the denormalized result #
# (in the internal extended format) #
# #
# d0 = guard,round,sticky #
# #
# ALGORITHM *********************************************************** #
# According to the exponent underflow threshold for the given #
# precision, shift the mantissa bits to the right in order raise the #
# exponent of the operand to the threshold value. While shifting the #
# mantissa bits right, maintain the value of the guard, round, and #
# sticky bits. #
# other notes: #
# (1) _denorm() is called by the underflow routines #
# (2) _denorm() does NOT affect the status register #
# #
#########################################################################
#
# table of exponent threshold values for each precision
#
tbl_thresh:
short 0x0
short sgl_thresh
short dbl_thresh
global _denorm
_denorm:
#
# Load the exponent threshold for the precision selected and check
# to see if (threshold - exponent) is > 65 in which case we can
# simply calculate the sticky bit and zero the mantissa. otherwise
# we have to call the denormalization routine.
#
lsr.b &0x2, %d0 # shift prec to lo bits
mov.w (tbl_thresh.b,%pc,%d0.w*2), %d1 # load prec threshold
mov.w %d1, %d0 # copy d1 into d0
sub.w FTEMP_EX(%a0), %d0 # diff = threshold - exp
cmpi.w %d0, &66 # is diff > 65? (mant + g,r bits)
bpl.b denorm_set_stky # yes; just calc sticky
clr.l %d0 # clear g,r,s
btst &inex2_bit, FPSR_EXCEPT(%a6) # yes; was INEX2 set?
beq.b denorm_call # no; don't change anything
bset &29, %d0 # yes; set sticky bit
denorm_call:
bsr.l dnrm_lp # denormalize the number
rts
#
# all bit would have been shifted off during the denorm so simply
# calculate if the sticky should be set and clear the entire mantissa.
#
denorm_set_stky:
mov.l &0x20000000, %d0 # set sticky bit in return value
mov.w %d1, FTEMP_EX(%a0) # load exp with threshold
clr.l FTEMP_HI(%a0) # set d1 = 0 (ms mantissa)
clr.l FTEMP_LO(%a0) # set d2 = 0 (ms mantissa)
rts
# #
# dnrm_lp(): normalize exponent/mantissa to specified threshold #
# #
# INPUT: #
# %a0 : points to the operand to be denormalized #
# %d0{31:29} : initial guard,round,sticky #
# %d1{15:0} : denormalization threshold #
# OUTPUT: #
# %a0 : points to the denormalized operand #
# %d0{31:29} : final guard,round,sticky #
# #
# *** Local Equates *** #
set GRS, L_SCR2 # g,r,s temp storage
set FTEMP_LO2, L_SCR1 # FTEMP_LO copy
global dnrm_lp
dnrm_lp:
#
# make a copy of FTEMP_LO and place the g,r,s bits directly after it
# in memory so as to make the bitfield extraction for denormalization easier.
#
mov.l FTEMP_LO(%a0), FTEMP_LO2(%a6) # make FTEMP_LO copy
mov.l %d0, GRS(%a6) # place g,r,s after it
#
# check to see how much less than the underflow threshold the operand
# exponent is.
#
mov.l %d1, %d0 # copy the denorm threshold
sub.w FTEMP_EX(%a0), %d1 # d1 = threshold - uns exponent
ble.b dnrm_no_lp # d1 <= 0
cmpi.w %d1, &0x20 # is ( 0 <= d1 < 32) ?
blt.b case_1 # yes
cmpi.w %d1, &0x40 # is (32 <= d1 < 64) ?
blt.b case_2 # yes
bra.w case_3 # (d1 >= 64)
#
# No normalization necessary
#
dnrm_no_lp:
mov.l GRS(%a6), %d0 # restore original g,r,s
rts
#
# case (0<d1<32)
#
# %d0 = denorm threshold
# %d1 = "n" = amt to shift
#
# ---------------------------------------------------------
# | FTEMP_HI | FTEMP_LO |grs000.........000|
# ---------------------------------------------------------
# <-(32 - n)-><-(n)-><-(32 - n)-><-(n)-><-(32 - n)-><-(n)->
# \ \ \ \
# \ \ \ \
# \ \ \ \
# \ \ \ \
# \ \ \ \
# \ \ \ \
# \ \ \ \
# \ \ \ \
# <-(n)-><-(32 - n)-><------(32)-------><------(32)------->
# ---------------------------------------------------------
# |0.....0| NEW_HI | NEW_FTEMP_LO |grs |
# ---------------------------------------------------------
#
case_1:
mov.l %d2, -(%sp) # create temp storage
mov.w %d0, FTEMP_EX(%a0) # exponent = denorm threshold
mov.l &32, %d0
sub.w %d1, %d0 # %d0 = 32 - %d1
cmpi.w %d1, &29 # is shft amt >= 29
blt.b case1_extract # no; no fix needed
mov.b GRS(%a6), %d2
or.b %d2, 3+FTEMP_LO2(%a6)
case1_extract:
bfextu FTEMP_HI(%a0){&0:%d0}, %d2 # %d2 = new FTEMP_HI
bfextu FTEMP_HI(%a0){%d0:&32}, %d1 # %d1 = new FTEMP_LO
bfextu FTEMP_LO2(%a6){%d0:&32}, %d0 # %d0 = new G,R,S
mov.l %d2, FTEMP_HI(%a0) # store new FTEMP_HI
mov.l %d1, FTEMP_LO(%a0) # store new FTEMP_LO
bftst %d0{&2:&30} # were bits shifted off?
beq.b case1_sticky_clear # no; go finish
bset &rnd_stky_bit, %d0 # yes; set sticky bit
case1_sticky_clear:
and.l &0xe0000000, %d0 # clear all but G,R,S
mov.l (%sp)+, %d2 # restore temp register
rts
#
# case (32<=d1<64)
#
# %d0 = denorm threshold
# %d1 = "n" = amt to shift
#
# ---------------------------------------------------------
# | FTEMP_HI | FTEMP_LO |grs000.........000|
# ---------------------------------------------------------
# <-(32 - n)-><-(n)-><-(32 - n)-><-(n)-><-(32 - n)-><-(n)->
# \ \ \
# \ \ \
# \ \ -------------------
# \ -------------------- \
# ------------------- \ \
# \ \ \
# \ \ \
# \ \ \
# <-------(32)------><-(n)-><-(32 - n)-><------(32)------->
# ---------------------------------------------------------
# |0...............0|0....0| NEW_LO |grs |
# ---------------------------------------------------------
#
case_2:
mov.l %d2, -(%sp) # create temp storage
mov.w %d0, FTEMP_EX(%a0) # exponent = denorm threshold
subi.w &0x20, %d1 # %d1 now between 0 and 32
mov.l &0x20, %d0
sub.w %d1, %d0 # %d0 = 32 - %d1
# subtle step here; or in the g,r,s at the bottom of FTEMP_LO to minimize
# the number of bits to check for the sticky detect.
# it only plays a role in shift amounts of 61-63.
mov.b GRS(%a6), %d2
or.b %d2, 3+FTEMP_LO2(%a6)
bfextu FTEMP_HI(%a0){&0:%d0}, %d2 # %d2 = new FTEMP_LO
bfextu FTEMP_HI(%a0){%d0:&32}, %d1 # %d1 = new G,R,S
bftst %d1{&2:&30} # were any bits shifted off?
bne.b case2_set_sticky # yes; set sticky bit
bftst FTEMP_LO2(%a6){%d0:&31} # were any bits shifted off?
bne.b case2_set_sticky # yes; set sticky bit
mov.l %d1, %d0 # move new G,R,S to %d0
bra.b case2_end
case2_set_sticky:
mov.l %d1, %d0 # move new G,R,S to %d0
bset &rnd_stky_bit, %d0 # set sticky bit
case2_end:
clr.l FTEMP_HI(%a0) # store FTEMP_HI = 0
mov.l %d2, FTEMP_LO(%a0) # store FTEMP_LO
and.l &0xe0000000, %d0 # clear all but G,R,S
mov.l (%sp)+,%d2 # restore temp register
rts
#
# case (d1>=64)
#
# %d0 = denorm threshold
# %d1 = amt to shift
#
case_3:
mov.w %d0, FTEMP_EX(%a0) # insert denorm threshold
cmpi.w %d1, &65 # is shift amt > 65?
blt.b case3_64 # no; it's == 64
beq.b case3_65 # no; it's == 65
#
# case (d1>65)
#
# Shift value is > 65 and out of range. All bits are shifted off.
# Return a zero mantissa with the sticky bit set
#
clr.l FTEMP_HI(%a0) # clear hi(mantissa)
clr.l FTEMP_LO(%a0) # clear lo(mantissa)
mov.l &0x20000000, %d0 # set sticky bit
rts
#
# case (d1 == 64)
#
# ---------------------------------------------------------
# | FTEMP_HI | FTEMP_LO |grs000.........000|
# ---------------------------------------------------------
# <-------(32)------>
# \ \
# \ \
# \ \
# \ ------------------------------
# ------------------------------- \
# \ \
# \ \
# \ \
# <-------(32)------>
# ---------------------------------------------------------
# |0...............0|0................0|grs |
# ---------------------------------------------------------
#
case3_64:
mov.l FTEMP_HI(%a0), %d0 # fetch hi(mantissa)
mov.l %d0, %d1 # make a copy
and.l &0xc0000000, %d0 # extract G,R
and.l &0x3fffffff, %d1 # extract other bits
bra.b case3_complete
#
# case (d1 == 65)
#
# ---------------------------------------------------------
# | FTEMP_HI | FTEMP_LO |grs000.........000|
# ---------------------------------------------------------
# <-------(32)------>
# \ \
# \ \
# \ \
# \ ------------------------------
# -------------------------------- \
# \ \
# \ \
# \ \
# <-------(31)----->
# ---------------------------------------------------------
# |0...............0|0................0|0rs |
# ---------------------------------------------------------
#
case3_65:
mov.l FTEMP_HI(%a0), %d0 # fetch hi(mantissa)
and.l &0x80000000, %d0 # extract R bit
lsr.l &0x1, %d0 # shift high bit into R bit
and.l &0x7fffffff, %d1 # extract other bits
case3_complete:
# last operation done was an "and" of the bits shifted off so the condition
# codes are already set so branch accordingly.
bne.b case3_set_sticky # yes; go set new sticky
tst.l FTEMP_LO(%a0) # were any bits shifted off?
bne.b case3_set_sticky # yes; go set new sticky
tst.b GRS(%a6) # were any bits shifted off?
bne.b case3_set_sticky # yes; go set new sticky
#
# no bits were shifted off so don't set the sticky bit.
# the guard and
# the entire mantissa is zero.
#
clr.l FTEMP_HI(%a0) # clear hi(mantissa)
clr.l FTEMP_LO(%a0) # clear lo(mantissa)
rts
#
# some bits were shifted off so set the sticky bit.
# the entire mantissa is zero.
#
case3_set_sticky:
bset &rnd_stky_bit,%d0 # set new sticky bit
clr.l FTEMP_HI(%a0) # clear hi(mantissa)
clr.l FTEMP_LO(%a0) # clear lo(mantissa)
rts
#########################################################################
# XDEF **************************************************************** #
# _round(): round result according to precision/mode #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# a0 = ptr to input operand in internal extended format #
# d1(hi) = contains rounding precision: #
# ext = $0000xxxx #
# sgl = $0004xxxx #
# dbl = $0008xxxx #
# d1(lo) = contains rounding mode: #
# RN = $xxxx0000 #
# RZ = $xxxx0001 #
# RM = $xxxx0002 #
# RP = $xxxx0003 #
# d0{31:29} = contains the g,r,s bits (extended) #
# #
# OUTPUT ************************************************************** #
# a0 = pointer to rounded result #
# #
# ALGORITHM *********************************************************** #
# On return the value pointed to by a0 is correctly rounded, #
# a0 is preserved and the g-r-s bits in d0 are cleared. #
# The result is not typed - the tag field is invalid. The #
# result is still in the internal extended format. #
# #
# The INEX bit of USER_FPSR will be set if the rounded result was #
# inexact (i.e. if any of the g-r-s bits were set). #
# #
#########################################################################
global _round
_round:
#
# ext_grs() looks at the rounding precision and sets the appropriate
# G,R,S bits.
# If (G,R,S == 0) then result is exact and round is done, else set
# the inex flag in status reg and continue.
#
bsr.l ext_grs # extract G,R,S
tst.l %d0 # are G,R,S zero?
beq.w truncate # yes; round is complete
or.w &inx2a_mask, 2+USER_FPSR(%a6) # set inex2/ainex
#
# Use rounding mode as an index into a jump table for these modes.
# All of the following assumes grs != 0.
#
mov.w (tbl_mode.b,%pc,%d1.w*2), %a1 # load jump offset
jmp (tbl_mode.b,%pc,%a1) # jmp to rnd mode handler
tbl_mode:
short rnd_near - tbl_mode
short truncate - tbl_mode # RZ always truncates
short rnd_mnus - tbl_mode
short rnd_plus - tbl_mode
#################################################################
# ROUND PLUS INFINITY #
# #
# If sign of fp number = 0 (positive), then add 1 to l. #
#################################################################
rnd_plus:
tst.b FTEMP_SGN(%a0) # check for sign
bmi.w truncate # if positive then truncate
mov.l &0xffffffff, %d0 # force g,r,s to be all f's
swap %d1 # set up d1 for round prec.
cmpi.b %d1, &s_mode # is prec = sgl?
beq.w add_sgl # yes
bgt.w add_dbl # no; it's dbl
bra.w add_ext # no; it's ext
#################################################################
# ROUND MINUS INFINITY #
# #
# If sign of fp number = 1 (negative), then add 1 to l. #
#################################################################
rnd_mnus:
tst.b FTEMP_SGN(%a0) # check for sign
bpl.w truncate # if negative then truncate
mov.l &0xffffffff, %d0 # force g,r,s to be all f's
swap %d1 # set up d1 for round prec.
cmpi.b %d1, &s_mode # is prec = sgl?
beq.w add_sgl # yes
bgt.w add_dbl # no; it's dbl
bra.w add_ext # no; it's ext
#################################################################
# ROUND NEAREST #
# #
# If (g=1), then add 1 to l and if (r=s=0), then clear l #
# Note that this will round to even in case of a tie. #
#################################################################
rnd_near:
asl.l &0x1, %d0 # shift g-bit to c-bit
bcc.w truncate # if (g=1) then
swap %d1 # set up d1 for round prec.
cmpi.b %d1, &s_mode # is prec = sgl?
beq.w add_sgl # yes
bgt.w add_dbl # no; it's dbl
bra.w add_ext # no; it's ext
# *** LOCAL EQUATES ***
set ad_1_sgl, 0x00000100 # constant to add 1 to l-bit in sgl prec
set ad_1_dbl, 0x00000800 # constant to add 1 to l-bit in dbl prec
#########################
# ADD SINGLE #
#########################
add_sgl:
add.l &ad_1_sgl, FTEMP_HI(%a0)
bcc.b scc_clr # no mantissa overflow
roxr.w FTEMP_HI(%a0) # shift v-bit back in
roxr.w FTEMP_HI+2(%a0) # shift v-bit back in
add.w &0x1, FTEMP_EX(%a0) # and incr exponent
scc_clr:
tst.l %d0 # test for rs = 0
bne.b sgl_done
and.w &0xfe00, FTEMP_HI+2(%a0) # clear the l-bit
sgl_done:
and.l &0xffffff00, FTEMP_HI(%a0) # truncate bits beyond sgl limit
clr.l FTEMP_LO(%a0) # clear d2
rts
#########################
# ADD EXTENDED #
#########################
add_ext:
addq.l &1,FTEMP_LO(%a0) # add 1 to l-bit
bcc.b xcc_clr # test for carry out
addq.l &1,FTEMP_HI(%a0) # propagate carry
bcc.b xcc_clr
roxr.w FTEMP_HI(%a0) # mant is 0 so restore v-bit
roxr.w FTEMP_HI+2(%a0) # mant is 0 so restore v-bit
roxr.w FTEMP_LO(%a0)
roxr.w FTEMP_LO+2(%a0)
add.w &0x1,FTEMP_EX(%a0) # and inc exp
xcc_clr:
tst.l %d0 # test rs = 0
bne.b add_ext_done
and.b &0xfe,FTEMP_LO+3(%a0) # clear the l bit
add_ext_done:
rts
#########################
# ADD DOUBLE #
#########################
add_dbl:
add.l &ad_1_dbl, FTEMP_LO(%a0) # add 1 to lsb
bcc.b dcc_clr # no carry
addq.l &0x1, FTEMP_HI(%a0) # propagate carry
bcc.b dcc_clr # no carry
roxr.w FTEMP_HI(%a0) # mant is 0 so restore v-bit
roxr.w FTEMP_HI+2(%a0) # mant is 0 so restore v-bit
roxr.w FTEMP_LO(%a0)
roxr.w FTEMP_LO+2(%a0)
addq.w &0x1, FTEMP_EX(%a0) # incr exponent
dcc_clr:
tst.l %d0 # test for rs = 0
bne.b dbl_done
and.w &0xf000, FTEMP_LO+2(%a0) # clear the l-bit
dbl_done:
and.l &0xfffff800,FTEMP_LO(%a0) # truncate bits beyond dbl limit
rts
###########################
# Truncate all other bits #
###########################
truncate:
swap %d1 # select rnd prec
cmpi.b %d1, &s_mode # is prec sgl?
beq.w sgl_done # yes
bgt.b dbl_done # no; it's dbl
rts # no; it's ext
#
# ext_grs(): extract guard, round and sticky bits according to
# rounding precision.
#
# INPUT
# d0 = extended precision g,r,s (in d0{31:29})
# d1 = {PREC,ROUND}
# OUTPUT
# d0{31:29} = guard, round, sticky
#
# The ext_grs extract the guard/round/sticky bits according to the
# selected rounding precision. It is called by the round subroutine
# only. All registers except d0 are kept intact. d0 becomes an
# updated guard,round,sticky in d0{31:29}
#
# Notes: the ext_grs uses the round PREC, and therefore has to swap d1
# prior to usage, and needs to restore d1 to original. this
# routine is tightly tied to the round routine and not meant to
# uphold standard subroutine calling practices.
#
ext_grs:
swap %d1 # have d1.w point to round precision
tst.b %d1 # is rnd prec = extended?
bne.b ext_grs_not_ext # no; go handle sgl or dbl
#
# %d0 actually already hold g,r,s since _round() had it before calling
# this function. so, as long as we don't disturb it, we are "returning" it.
#
ext_grs_ext:
swap %d1 # yes; return to correct positions
rts
ext_grs_not_ext:
movm.l &0x3000, -(%sp) # make some temp registers {d2/d3}
cmpi.b %d1, &s_mode # is rnd prec = sgl?
bne.b ext_grs_dbl # no; go handle dbl
#
# sgl:
# 96 64 40 32 0
# -----------------------------------------------------
# | EXP |XXXXXXX| |xx | |grs|
# -----------------------------------------------------
# <--(24)--->nn\ /
# ee ---------------------
# ww |
# v
# gr new sticky
#
ext_grs_sgl:
bfextu FTEMP_HI(%a0){&24:&2}, %d3 # sgl prec. g-r are 2 bits right
mov.l &30, %d2 # of the sgl prec. limits
lsl.l %d2, %d3 # shift g-r bits to MSB of d3
mov.l FTEMP_HI(%a0), %d2 # get word 2 for s-bit test
and.l &0x0000003f, %d2 # s bit is the or of all other
bne.b ext_grs_st_stky # bits to the right of g-r
tst.l FTEMP_LO(%a0) # test lower mantissa
bne.b ext_grs_st_stky # if any are set, set sticky
tst.l %d0 # test original g,r,s
bne.b ext_grs_st_stky # if any are set, set sticky
bra.b ext_grs_end_sd # if words 3 and 4 are clr, exit
#
# dbl:
# 96 64 32 11 0
# -----------------------------------------------------
# | EXP |XXXXXXX| | |xx |grs|
# -----------------------------------------------------
# nn\ /
# ee -------
# ww |
# v
# gr new sticky
#
ext_grs_dbl:
bfextu FTEMP_LO(%a0){&21:&2}, %d3 # dbl-prec. g-r are 2 bits right
mov.l &30, %d2 # of the dbl prec. limits
lsl.l %d2, %d3 # shift g-r bits to the MSB of d3
mov.l FTEMP_LO(%a0), %d2 # get lower mantissa for s-bit test
and.l &0x000001ff, %d2 # s bit is the or-ing of all
bne.b ext_grs_st_stky # other bits to the right of g-r
tst.l %d0 # test word original g,r,s
bne.b ext_grs_st_stky # if any are set, set sticky
bra.b ext_grs_end_sd # if clear, exit
ext_grs_st_stky:
bset &rnd_stky_bit, %d3 # set sticky bit
ext_grs_end_sd:
mov.l %d3, %d0 # return grs to d0
movm.l (%sp)+, &0xc # restore scratch registers {d2/d3}
swap %d1 # restore d1 to original
rts
#########################################################################
# norm(): normalize the mantissa of an extended precision input. the #
# input operand should not be normalized already. #
# #
# XDEF **************************************************************** #
# norm() #
# #
# XREF **************************************************************** #
# none #
# #
# INPUT *************************************************************** #
# a0 = pointer fp extended precision operand to normalize #
# #
# OUTPUT ************************************************************** #
# d0 = number of bit positions the mantissa was shifted #
# a0 = the input operand's mantissa is normalized; the exponent #
# is unchanged. #
# #
#########################################################################
global norm
norm:
mov.l %d2, -(%sp) # create some temp regs
mov.l %d3, -(%sp)
mov.l FTEMP_HI(%a0), %d0 # load hi(mantissa)
mov.l FTEMP_LO(%a0), %d1 # load lo(mantissa)
bfffo %d0{&0:&32}, %d2 # how many places to shift?
beq.b norm_lo # hi(man) is all zeroes!
norm_hi:
lsl.l %d2, %d0 # left shift hi(man)
bfextu %d1{&0:%d2}, %d3 # extract lo bits
or.l %d3, %d0 # create hi(man)
lsl.l %d2, %d1 # create lo(man)
mov.l %d0, FTEMP_HI(%a0) # store new hi(man)
mov.l %d1, FTEMP_LO(%a0) # store new lo(man)
mov.l %d2, %d0 # return shift amount
mov.l (%sp)+, %d3 # restore temp regs
mov.l (%sp)+, %d2
rts
norm_lo:
bfffo %d1{&0:&32}, %d2 # how many places to shift?
lsl.l %d2, %d1 # shift lo(man)
add.l &32, %d2 # add 32 to shft amount
mov.l %d1, FTEMP_HI(%a0) # store hi(man)
clr.l FTEMP_LO(%a0) # lo(man) is now zero
mov.l %d2, %d0 # return shift amount
mov.l (%sp)+, %d3 # restore temp regs
mov.l (%sp)+, %d2
rts
#########################################################################
# unnorm_fix(): - changes an UNNORM to one of NORM, DENORM, or ZERO #
# - returns corresponding optype tag #
# #
# XDEF **************************************************************** #
# unnorm_fix() #
# #
# XREF **************************************************************** #
# norm() - normalize the mantissa #
# #
# INPUT *************************************************************** #
# a0 = pointer to unnormalized extended precision number #
# #
# OUTPUT ************************************************************** #
# d0 = optype tag - is corrected to one of NORM, DENORM, or ZERO #
# a0 = input operand has been converted to a norm, denorm, or #
# zero; both the exponent and mantissa are changed. #
# #
#########################################################################
global unnorm_fix
unnorm_fix:
bfffo FTEMP_HI(%a0){&0:&32}, %d0 # how many shifts are needed?
bne.b unnorm_shift # hi(man) is not all zeroes
#
# hi(man) is all zeroes so see if any bits in lo(man) are set
#
unnorm_chk_lo:
bfffo FTEMP_LO(%a0){&0:&32}, %d0 # is operand really a zero?
beq.w unnorm_zero # yes
add.w &32, %d0 # no; fix shift distance
#
# d0 = # shifts needed for complete normalization
#
unnorm_shift:
clr.l %d1 # clear top word
mov.w FTEMP_EX(%a0), %d1 # extract exponent
and.w &0x7fff, %d1 # strip off sgn
cmp.w %d0, %d1 # will denorm push exp < 0?
bgt.b unnorm_nrm_zero # yes; denorm only until exp = 0
#
# exponent would not go < 0. Therefore, number stays normalized
#
sub.w %d0, %d1 # shift exponent value
mov.w FTEMP_EX(%a0), %d0 # load old exponent
and.w &0x8000, %d0 # save old sign
or.w %d0, %d1 # {sgn,new exp}
mov.w %d1, FTEMP_EX(%a0) # insert new exponent
bsr.l norm # normalize UNNORM
mov.b &NORM, %d0 # return new optype tag
rts
#
# exponent would go < 0, so only denormalize until exp = 0
#
unnorm_nrm_zero:
cmp.b %d1, &32 # is exp <= 32?
bgt.b unnorm_nrm_zero_lrg # no; go handle large exponent
bfextu FTEMP_HI(%a0){%d1:&32}, %d0 # extract new hi(man)
mov.l %d0, FTEMP_HI(%a0) # save new hi(man)
mov.l FTEMP_LO(%a0), %d0 # fetch old lo(man)
lsl.l %d1, %d0 # extract new lo(man)
mov.l %d0, FTEMP_LO(%a0) # save new lo(man)
and.w &0x8000, FTEMP_EX(%a0) # set exp = 0
mov.b &DENORM, %d0 # return new optype tag
rts
#
# only mantissa bits set are in lo(man)
#
unnorm_nrm_zero_lrg:
sub.w &32, %d1 # adjust shft amt by 32
mov.l FTEMP_LO(%a0), %d0 # fetch old lo(man)
lsl.l %d1, %d0 # left shift lo(man)
mov.l %d0, FTEMP_HI(%a0) # store new hi(man)
clr.l FTEMP_LO(%a0) # lo(man) = 0
and.w &0x8000, FTEMP_EX(%a0) # set exp = 0
mov.b &DENORM, %d0 # return new optype tag
rts
#
# whole mantissa is zero so this UNNORM is actually a zero
#
unnorm_zero:
and.w &0x8000, FTEMP_EX(%a0) # force exponent to zero
mov.b &ZERO, %d0 # fix optype tag
rts
#########################################################################
# XDEF **************************************************************** #
# set_tag_x(): return the optype of the input ext fp number #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precision operand #
# #
# OUTPUT ************************************************************** #
# d0 = value of type tag #
# one of: NORM, INF, QNAN, SNAN, DENORM, UNNORM, ZERO #
# #
# ALGORITHM *********************************************************** #
# Simply test the exponent, j-bit, and mantissa values to #
# determine the type of operand. #
# If it's an unnormalized zero, alter the operand and force it #
# to be a normal zero. #
# #
#########################################################################
global set_tag_x
set_tag_x:
mov.w FTEMP_EX(%a0), %d0 # extract exponent
andi.w &0x7fff, %d0 # strip off sign
cmpi.w %d0, &0x7fff # is (EXP == MAX)?
beq.b inf_or_nan_x
not_inf_or_nan_x:
btst &0x7,FTEMP_HI(%a0)
beq.b not_norm_x
is_norm_x:
mov.b &NORM, %d0
rts
not_norm_x:
tst.w %d0 # is exponent = 0?
bne.b is_unnorm_x
not_unnorm_x:
tst.l FTEMP_HI(%a0)
bne.b is_denorm_x
tst.l FTEMP_LO(%a0)
bne.b is_denorm_x
is_zero_x:
mov.b &ZERO, %d0
rts
is_denorm_x:
mov.b &DENORM, %d0
rts
# must distinguish now "Unnormalized zeroes" which we
# must convert to zero.
is_unnorm_x:
tst.l FTEMP_HI(%a0)
bne.b is_unnorm_reg_x
tst.l FTEMP_LO(%a0)
bne.b is_unnorm_reg_x
# it's an "unnormalized zero". let's convert it to an actual zero...
andi.w &0x8000,FTEMP_EX(%a0) # clear exponent
mov.b &ZERO, %d0
rts
is_unnorm_reg_x:
mov.b &UNNORM, %d0
rts
inf_or_nan_x:
tst.l FTEMP_LO(%a0)
bne.b is_nan_x
mov.l FTEMP_HI(%a0), %d0
and.l &0x7fffffff, %d0 # msb is a don't care!
bne.b is_nan_x
is_inf_x:
mov.b &INF, %d0
rts
is_nan_x:
btst &0x6, FTEMP_HI(%a0)
beq.b is_snan_x
mov.b &QNAN, %d0
rts
is_snan_x:
mov.b &SNAN, %d0
rts
#########################################################################
# XDEF **************************************************************** #
# set_tag_d(): return the optype of the input dbl fp number #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# a0 = points to double precision operand #
# #
# OUTPUT ************************************************************** #
# d0 = value of type tag #
# one of: NORM, INF, QNAN, SNAN, DENORM, ZERO #
# #
# ALGORITHM *********************************************************** #
# Simply test the exponent, j-bit, and mantissa values to #
# determine the type of operand. #
# #
#########################################################################
global set_tag_d
set_tag_d:
mov.l FTEMP(%a0), %d0
mov.l %d0, %d1
andi.l &0x7ff00000, %d0
beq.b zero_or_denorm_d
cmpi.l %d0, &0x7ff00000
beq.b inf_or_nan_d
is_norm_d:
mov.b &NORM, %d0
rts
zero_or_denorm_d:
and.l &0x000fffff, %d1
bne is_denorm_d
tst.l 4+FTEMP(%a0)
bne is_denorm_d
is_zero_d:
mov.b &ZERO, %d0
rts
is_denorm_d:
mov.b &DENORM, %d0
rts
inf_or_nan_d:
and.l &0x000fffff, %d1
bne is_nan_d
tst.l 4+FTEMP(%a0)
bne is_nan_d
is_inf_d:
mov.b &INF, %d0
rts
is_nan_d:
btst &19, %d1
bne is_qnan_d
is_snan_d:
mov.b &SNAN, %d0
rts
is_qnan_d:
mov.b &QNAN, %d0
rts
#########################################################################
# XDEF **************************************************************** #
# set_tag_s(): return the optype of the input sgl fp number #
# #
# XREF **************************************************************** #
# None #
# #
# INPUT *************************************************************** #
# a0 = pointer to single precision operand #
# #
# OUTPUT ************************************************************** #
# d0 = value of type tag #
# one of: NORM, INF, QNAN, SNAN, DENORM, ZERO #
# #
# ALGORITHM *********************************************************** #
# Simply test the exponent, j-bit, and mantissa values to #
# determine the type of operand. #
# #
#########################################################################
global set_tag_s
set_tag_s:
mov.l FTEMP(%a0), %d0
mov.l %d0, %d1
andi.l &0x7f800000, %d0
beq.b zero_or_denorm_s
cmpi.l %d0, &0x7f800000
beq.b inf_or_nan_s
is_norm_s:
mov.b &NORM, %d0
rts
zero_or_denorm_s:
and.l &0x007fffff, %d1
bne is_denorm_s
is_zero_s:
mov.b &ZERO, %d0
rts
is_denorm_s:
mov.b &DENORM, %d0
rts
inf_or_nan_s:
and.l &0x007fffff, %d1
bne is_nan_s
is_inf_s:
mov.b &INF, %d0
rts
is_nan_s:
btst &22, %d1
bne is_qnan_s
is_snan_s:
mov.b &SNAN, %d0
rts
is_qnan_s:
mov.b &QNAN, %d0
rts
#########################################################################
# XDEF **************************************************************** #
# unf_res(): routine to produce default underflow result of a #
# scaled extended precision number; this is used by #
# fadd/fdiv/fmul/etc. emulation routines. #
# unf_res4(): same as above but for fsglmul/fsgldiv which use #
# single round prec and extended prec mode. #
# #
# XREF **************************************************************** #
# _denorm() - denormalize according to scale factor #
# _round() - round denormalized number according to rnd prec #
# #
# INPUT *************************************************************** #
# a0 = pointer to extended precison operand #
# d0 = scale factor #
# d1 = rounding precision/mode #
# #
# OUTPUT ************************************************************** #
# a0 = pointer to default underflow result in extended precision #
# d0.b = result FPSR_cc which caller may or may not want to save #
# #
# ALGORITHM *********************************************************** #
# Convert the input operand to "internal format" which means the #
# exponent is extended to 16 bits and the sign is stored in the unused #
# portion of the extended precison operand. Denormalize the number #
# according to the scale factor passed in d0. Then, round the #
# denormalized result. #
# Set the FPSR_exc bits as appropriate but return the cc bits in #
# d0 in case the caller doesn't want to save them (as is the case for #
# fmove out). #
# unf_res4() for fsglmul/fsgldiv forces the denorm to extended #
# precision and the rounding mode to single. #
# #
#########################################################################
global unf_res
unf_res:
mov.l %d1, -(%sp) # save rnd prec,mode on stack
btst &0x7, FTEMP_EX(%a0) # make "internal" format
sne FTEMP_SGN(%a0)
mov.w FTEMP_EX(%a0), %d1 # extract exponent
and.w &0x7fff, %d1
sub.w %d0, %d1
mov.w %d1, FTEMP_EX(%a0) # insert 16 bit exponent
mov.l %a0, -(%sp) # save operand ptr during calls
mov.l 0x4(%sp),%d0 # pass rnd prec.
andi.w &0x00c0,%d0
lsr.w &0x4,%d0
bsr.l _denorm # denorm result
mov.l (%sp),%a0
mov.w 0x6(%sp),%d1 # load prec:mode into %d1
andi.w &0xc0,%d1 # extract rnd prec
lsr.w &0x4,%d1
swap %d1
mov.w 0x6(%sp),%d1
andi.w &0x30,%d1
lsr.w &0x4,%d1
bsr.l _round # round the denorm
mov.l (%sp)+, %a0
# result is now rounded properly. convert back to normal format
bclr &0x7, FTEMP_EX(%a0) # clear sgn first; may have residue
tst.b FTEMP_SGN(%a0) # is "internal result" sign set?
beq.b unf_res_chkifzero # no; result is positive
bset &0x7, FTEMP_EX(%a0) # set result sgn
clr.b FTEMP_SGN(%a0) # clear temp sign
# the number may have become zero after rounding. set ccodes accordingly.
unf_res_chkifzero:
clr.l %d0
tst.l FTEMP_HI(%a0) # is value now a zero?
bne.b unf_res_cont # no
tst.l FTEMP_LO(%a0)
bne.b unf_res_cont # no
# bset &z_bit, FPSR_CC(%a6) # yes; set zero ccode bit
bset &z_bit, %d0 # yes; set zero ccode bit
unf_res_cont:
#
# can inex1 also be set along with unfl and inex2???
#
# we know that underflow has occurred. aunfl should be set if INEX2 is also set.
#
btst &inex2_bit, FPSR_EXCEPT(%a6) # is INEX2 set?
beq.b unf_res_end # no
bset &aunfl_bit, FPSR_AEXCEPT(%a6) # yes; set aunfl
unf_res_end:
add.l &0x4, %sp # clear stack
rts
# unf_res() for fsglmul() and fsgldiv().
global unf_res4
unf_res4:
mov.l %d1,-(%sp) # save rnd prec,mode on stack
btst &0x7,FTEMP_EX(%a0) # make "internal" format
sne FTEMP_SGN(%a0)
mov.w FTEMP_EX(%a0),%d1 # extract exponent
and.w &0x7fff,%d1
sub.w %d0,%d1
mov.w %d1,FTEMP_EX(%a0) # insert 16 bit exponent
mov.l %a0,-(%sp) # save operand ptr during calls
clr.l %d0 # force rnd prec = ext
bsr.l _denorm # denorm result
mov.l (%sp),%a0
mov.w &s_mode,%d1 # force rnd prec = sgl
swap %d1
mov.w 0x6(%sp),%d1 # load rnd mode
andi.w &0x30,%d1 # extract rnd prec
lsr.w &0x4,%d1
bsr.l _round # round the denorm
mov.l (%sp)+,%a0
# result is now rounded properly. convert back to normal format
bclr &0x7,FTEMP_EX(%a0) # clear sgn first; may have residue
tst.b FTEMP_SGN(%a0) # is "internal result" sign set?
beq.b unf_res4_chkifzero # no; result is positive
bset &0x7,FTEMP_EX(%a0) # set result sgn
clr.b FTEMP_SGN(%a0) # clear temp sign
# the number may have become zero after rounding. set ccodes accordingly.
unf_res4_chkifzero:
clr.l %d0
tst.l FTEMP_HI(%a0) # is value now a zero?
bne.b unf_res4_cont # no
tst.l FTEMP_LO(%a0)
bne.b unf_res4_cont # no
# bset &z_bit,FPSR_CC(%a6) # yes; set zero ccode bit
bset &z_bit,%d0 # yes; set zero ccode bit
unf_res4_cont:
#
# can inex1 also be set along with unfl and inex2???
#
# we know that underflow has occurred. aunfl should be set if INEX2 is also set.
#
btst &inex2_bit,FPSR_EXCEPT(%a6) # is INEX2 set?
beq.b unf_res4_end # no
bset &aunfl_bit,FPSR_AEXCEPT(%a6) # yes; set aunfl
unf_res4_end:
add.l &0x4,%sp # clear stack
rts
#########################################################################
# XDEF **************************************************************** #
# ovf_res(): routine to produce the default overflow result of #
# an overflowing number. #
# ovf_res2(): same as above but the rnd mode/prec are passed #
# differently. #
# #
# XREF **************************************************************** #
# none #
# #
# INPUT *************************************************************** #
# d1.b = '-1' => (-); '0' => (+) #
# ovf_res(): #
# d0 = rnd mode/prec #
# ovf_res2(): #
# hi(d0) = rnd prec #
# lo(d0) = rnd mode #
# #
# OUTPUT ************************************************************** #
# a0 = points to extended precision result #
# d0.b = condition code bits #
# #
# ALGORITHM *********************************************************** #
# The default overflow result can be determined by the sign of #
# the result and the rounding mode/prec in effect. These bits are #
# concatenated together to create an index into the default result #
# table. A pointer to the correct result is returned in a0. The #
# resulting condition codes are returned in d0 in case the caller #
# doesn't want FPSR_cc altered (as is the case for fmove out). #
# #
#########################################################################
global ovf_res
ovf_res:
andi.w &0x10,%d1 # keep result sign
lsr.b &0x4,%d0 # shift prec/mode
or.b %d0,%d1 # concat the two
mov.w %d1,%d0 # make a copy
lsl.b &0x1,%d1 # multiply d1 by 2
bra.b ovf_res_load
global ovf_res2
ovf_res2:
and.w &0x10, %d1 # keep result sign
or.b %d0, %d1 # insert rnd mode
swap %d0
or.b %d0, %d1 # insert rnd prec
mov.w %d1, %d0 # make a copy
lsl.b &0x1, %d1 # shift left by 1
#
# use the rounding mode, precision, and result sign as in index into the
# two tables below to fetch the default result and the result ccodes.
#
ovf_res_load:
mov.b (tbl_ovfl_cc.b,%pc,%d0.w*1), %d0 # fetch result ccodes
lea (tbl_ovfl_result.b,%pc,%d1.w*8), %a0 # return result ptr
rts
tbl_ovfl_cc:
byte 0x2, 0x0, 0x0, 0x2
byte 0x2, 0x0, 0x0, 0x2
byte 0x2, 0x0, 0x0, 0x2
byte 0x0, 0x0, 0x0, 0x0
byte 0x2+0x8, 0x8, 0x2+0x8, 0x8
byte 0x2+0x8, 0x8, 0x2+0x8, 0x8
byte 0x2+0x8, 0x8, 0x2+0x8, 0x8
tbl_ovfl_result:
long 0x7fff0000,0x00000000,0x00000000,0x00000000 # +INF; RN
long 0x7ffe0000,0xffffffff,0xffffffff,0x00000000 # +EXT; RZ
long 0x7ffe0000,0xffffffff,0xffffffff,0x00000000 # +EXT; RM
long 0x7fff0000,0x00000000,0x00000000,0x00000000 # +INF; RP
long 0x7fff0000,0x00000000,0x00000000,0x00000000 # +INF; RN
long 0x407e0000,0xffffff00,0x00000000,0x00000000 # +SGL; RZ
long 0x407e0000,0xffffff00,0x00000000,0x00000000 # +SGL; RM
long 0x7fff0000,0x00000000,0x00000000,0x00000000 # +INF; RP
long 0x7fff0000,0x00000000,0x00000000,0x00000000 # +INF; RN
long 0x43fe0000,0xffffffff,0xfffff800,0x00000000 # +DBL; RZ
long 0x43fe0000,0xffffffff,0xfffff800,0x00000000 # +DBL; RM
long 0x7fff0000,0x00000000,0x00000000,0x00000000 # +INF; RP
long 0x00000000,0x00000000,0x00000000,0x00000000
long 0x00000000,0x00000000,0x00000000,0x00000000
long 0x00000000,0x00000000,0x00000000,0x00000000
long 0x00000000,0x00000000,0x00000000,0x00000000
long 0xffff0000,0x00000000,0x00000000,0x00000000 # -INF; RN
long 0xfffe0000,0xffffffff,0xffffffff,0x00000000 # -EXT; RZ
long 0xffff0000,0x00000000,0x00000000,0x00000000 # -INF; RM
long 0xfffe0000,0xffffffff,0xffffffff,0x00000000 # -EXT; RP
long 0xffff0000,0x00000000,0x00000000,0x00000000 # -INF; RN
long 0xc07e0000,0xffffff00,0x00000000,0x00000000 # -SGL; RZ
long 0xffff0000,0x00000000,0x00000000,0x00000000 # -INF; RM
long 0xc07e0000,0xffffff00,0x00000000,0x00000000 # -SGL; RP
long 0xffff0000,0x00000000,0x00000000,0x00000000 # -INF; RN
long 0xc3fe0000,0xffffffff,0xfffff800,0x00000000 # -DBL; RZ
long 0xffff0000,0x00000000,0x00000000,0x00000000 # -INF; RM
long 0xc3fe0000,0xffffffff,0xfffff800,0x00000000 # -DBL; RP
#########################################################################
# XDEF **************************************************************** #
# get_packed(): fetch a packed operand from memory and then #
# convert it to a floating-point binary number. #
# #
# XREF **************************************************************** #
# _dcalc_ea() - calculate the correct <ea> #
# _mem_read() - fetch the packed operand from memory #
# facc_in_x() - the fetch failed so jump to special exit code #
# decbin() - convert packed to binary extended precision #
# #
# INPUT *************************************************************** #
# None #
# #
# OUTPUT ************************************************************** #
# If no failure on _mem_read(): #
# FP_SRC(a6) = packed operand now as a binary FP number #
# #
# ALGORITHM *********************************************************** #
# Get the correct <ea> which is the value on the exception stack #
# frame w/ maybe a correction factor if the <ea> is -(an) or (an)+. #
# Then, fetch the operand from memory. If the fetch fails, exit #
# through facc_in_x(). #
# If the packed operand is a ZERO,NAN, or INF, convert it to #
# its binary representation here. Else, call decbin() which will #
# convert the packed value to an extended precision binary value. #
# #
#########################################################################
# the stacked <ea> for packed is correct except for -(An).
# the base reg must be updated for both -(An) and (An)+.
global get_packed
get_packed:
mov.l &0xc,%d0 # packed is 12 bytes
bsr.l _dcalc_ea # fetch <ea>; correct An
lea FP_SRC(%a6),%a1 # pass: ptr to super dst
mov.l &0xc,%d0 # pass: 12 bytes
bsr.l _dmem_read # read packed operand
tst.l %d1 # did dfetch fail?
bne.l facc_in_x # yes
# The packed operand is an INF or a NAN if the exponent field is all ones.
bfextu FP_SRC(%a6){&1:&15},%d0 # get exp
cmpi.w %d0,&0x7fff # INF or NAN?
bne.b gp_try_zero # no
rts # operand is an INF or NAN
# The packed operand is a zero if the mantissa is all zero, else it's
# a normal packed op.
gp_try_zero:
mov.b 3+FP_SRC(%a6),%d0 # get byte 4
andi.b &0x0f,%d0 # clear all but last nybble
bne.b gp_not_spec # not a zero
tst.l FP_SRC_HI(%a6) # is lw 2 zero?
bne.b gp_not_spec # not a zero
tst.l FP_SRC_LO(%a6) # is lw 3 zero?
bne.b gp_not_spec # not a zero
rts # operand is a ZERO
gp_not_spec:
lea FP_SRC(%a6),%a0 # pass: ptr to packed op
bsr.l decbin # convert to extended
fmovm.x &0x80,FP_SRC(%a6) # make this the srcop
rts
#########################################################################
# decbin(): Converts normalized packed bcd value pointed to by register #
# a0 to extended-precision value in fp0. #
# #
# INPUT *************************************************************** #
# a0 = pointer to normalized packed bcd value #
# #
# OUTPUT ************************************************************** #
# fp0 = exact fp representation of the packed bcd value. #
# #
# ALGORITHM *********************************************************** #
# Expected is a normal bcd (i.e. non-exceptional; all inf, zero, #
# and NaN operands are dispatched without entering this routine) #
# value in 68881/882 format at location (a0). #
# #
# A1. Convert the bcd exponent to binary by successive adds and #
# muls. Set the sign according to SE. Subtract 16 to compensate #
# for the mantissa which is to be interpreted as 17 integer #
# digits, rather than 1 integer and 16 fraction digits. #
# Note: this operation can never overflow. #
# #
# A2. Convert the bcd mantissa to binary by successive #
# adds and muls in FP0. Set the sign according to SM. #
# The mantissa digits will be converted with the decimal point #
# assumed following the least-significant digit. #
# Note: this operation can never overflow. #
# #
# A3. Count the number of leading/trailing zeros in the #
# bcd string. If SE is positive, count the leading zeros; #
# if negative, count the trailing zeros. Set the adjusted #
# exponent equal to the exponent from A1 and the zero count #
# added if SM = 1 and subtracted if SM = 0. Scale the #
# mantissa the equivalent of forcing in the bcd value: #
# #
# SM = 0 a non-zero digit in the integer position #
# SM = 1 a non-zero digit in Mant0, lsd of the fraction #
# #
# this will insure that any value, regardless of its #
# representation (ex. 0.1E2, 1E1, 10E0, 100E-1), is converted #
# consistently. #
# #
# A4. Calculate the factor 10^exp in FP1 using a table of #
# 10^(2^n) values. To reduce the error in forming factors #
# greater than 10^27, a directed rounding scheme is used with #
# tables rounded to RN, RM, and RP, according to the table #
# in the comments of the pwrten section. #
# #
# A5. Form the final binary number by scaling the mantissa by #
# the exponent factor. This is done by multiplying the #
# mantissa in FP0 by the factor in FP1 if the adjusted #
# exponent sign is positive, and dividing FP0 by FP1 if #
# it is negative. #
# #
# Clean up and return. Check if the final mul or div was inexact. #
# If so, set INEX1 in USER_FPSR. #
# #
#########################################################################
#
# PTENRN, PTENRM, and PTENRP are arrays of powers of 10 rounded
# to nearest, minus, and plus, respectively. The tables include
# 10**{1,2,4,8,16,32,64,128,256,512,1024,2048,4096}. No rounding
# is required until the power is greater than 27, however, all
# tables include the first 5 for ease of indexing.
#
RTABLE:
byte 0,0,0,0
byte 2,3,2,3
byte 2,3,3,2
byte 3,2,2,3
set FNIBS,7
set FSTRT,0
set ESTRT,4
set EDIGITS,2
global decbin
decbin:
mov.l 0x0(%a0),FP_SCR0_EX(%a6) # make a copy of input
mov.l 0x4(%a0),FP_SCR0_HI(%a6) # so we don't alter it
mov.l 0x8(%a0),FP_SCR0_LO(%a6)
lea FP_SCR0(%a6),%a0
movm.l &0x3c00,-(%sp) # save d2-d5
fmovm.x &0x1,-(%sp) # save fp1
#
# Calculate exponent:
# 1. Copy bcd value in memory for use as a working copy.
# 2. Calculate absolute value of exponent in d1 by mul and add.
# 3. Correct for exponent sign.
# 4. Subtract 16 to compensate for interpreting the mant as all integer digits.
# (i.e., all digits assumed left of the decimal point.)
#
# Register usage:
#
# calc_e:
# (*) d0: temp digit storage
# (*) d1: accumulator for binary exponent
# (*) d2: digit count
# (*) d3: offset pointer
# ( ) d4: first word of bcd
# ( ) a0: pointer to working bcd value
# ( ) a6: pointer to original bcd value
# (*) FP_SCR1: working copy of original bcd value
# (*) L_SCR1: copy of original exponent word
#
calc_e:
mov.l &EDIGITS,%d2 # # of nibbles (digits) in fraction part
mov.l &ESTRT,%d3 # counter to pick up digits
mov.l (%a0),%d4 # get first word of bcd
clr.l %d1 # zero d1 for accumulator
e_gd:
mulu.l &0xa,%d1 # mul partial product by one digit place
bfextu %d4{%d3:&4},%d0 # get the digit and zero extend into d0
add.l %d0,%d1 # d1 = d1 + d0
addq.b &4,%d3 # advance d3 to the next digit
dbf.w %d2,e_gd # if we have used all 3 digits, exit loop
btst &30,%d4 # get SE
beq.b e_pos # don't negate if pos
neg.l %d1 # negate before subtracting
e_pos:
sub.l &16,%d1 # sub to compensate for shift of mant
bge.b e_save # if still pos, do not neg
neg.l %d1 # now negative, make pos and set SE
or.l &0x40000000,%d4 # set SE in d4,
or.l &0x40000000,(%a0) # and in working bcd
e_save:
mov.l %d1,-(%sp) # save exp on stack
#
#
# Calculate mantissa:
# 1. Calculate absolute value of mantissa in fp0 by mul and add.
# 2. Correct for mantissa sign.
# (i.e., all digits assumed left of the decimal point.)
#
# Register usage:
#
# calc_m:
# (*) d0: temp digit storage
# (*) d1: lword counter
# (*) d2: digit count
# (*) d3: offset pointer
# ( ) d4: words 2 and 3 of bcd
# ( ) a0: pointer to working bcd value
# ( ) a6: pointer to original bcd value
# (*) fp0: mantissa accumulator
# ( ) FP_SCR1: working copy of original bcd value
# ( ) L_SCR1: copy of original exponent word
#
calc_m:
mov.l &1,%d1 # word counter, init to 1
fmov.s &0x00000000,%fp0 # accumulator
#
#
# Since the packed number has a long word between the first & second parts,
# get the integer digit then skip down & get the rest of the
# mantissa. We will unroll the loop once.
#
bfextu (%a0){&28:&4},%d0 # integer part is ls digit in long word
fadd.b %d0,%fp0 # add digit to sum in fp0
#
#
# Get the rest of the mantissa.
#
loadlw:
mov.l (%a0,%d1.L*4),%d4 # load mantissa lonqword into d4
mov.l &FSTRT,%d3 # counter to pick up digits
mov.l &FNIBS,%d2 # reset number of digits per a0 ptr
md2b:
fmul.s &0x41200000,%fp0 # fp0 = fp0 * 10
bfextu %d4{%d3:&4},%d0 # get the digit and zero extend
fadd.b %d0,%fp0 # fp0 = fp0 + digit
#
#
# If all the digits (8) in that long word have been converted (d2=0),
# then inc d1 (=2) to point to the next long word and reset d3 to 0
# to initialize the digit offset, and set d2 to 7 for the digit count;
# else continue with this long word.
#
addq.b &4,%d3 # advance d3 to the next digit
dbf.w %d2,md2b # check for last digit in this lw
nextlw:
addq.l &1,%d1 # inc lw pointer in mantissa
cmp.l %d1,&2 # test for last lw
ble.b loadlw # if not, get last one
#
# Check the sign of the mant and make the value in fp0 the same sign.
#
m_sign:
btst &31,(%a0) # test sign of the mantissa
beq.b ap_st_z # if clear, go to append/strip zeros
fneg.x %fp0 # if set, negate fp0
#
# Append/strip zeros:
#
# For adjusted exponents which have an absolute value greater than 27*,
# this routine calculates the amount needed to normalize the mantissa
# for the adjusted exponent. That number is subtracted from the exp
# if the exp was positive, and added if it was negative. The purpose
# of this is to reduce the value of the exponent and the possibility
# of error in calculation of pwrten.
#
# 1. Branch on the sign of the adjusted exponent.
# 2p.(positive exp)
# 2. Check M16 and the digits in lwords 2 and 3 in descending order.
# 3. Add one for each zero encountered until a non-zero digit.
# 4. Subtract the count from the exp.
# 5. Check if the exp has crossed zero in #3 above; make the exp abs
# and set SE.
# 6. Multiply the mantissa by 10**count.
# 2n.(negative exp)
# 2. Check the digits in lwords 3 and 2 in descending order.
# 3. Add one for each zero encountered until a non-zero digit.
# 4. Add the count to the exp.
# 5. Check if the exp has crossed zero in #3 above; clear SE.
# 6. Divide the mantissa by 10**count.
#
# *Why 27? If the adjusted exponent is within -28 < expA < 28, than
# any adjustment due to append/strip zeros will drive the resultane
# exponent towards zero. Since all pwrten constants with a power
# of 27 or less are exact, there is no need to use this routine to
# attempt to lessen the resultant exponent.
#
# Register usage:
#
# ap_st_z:
# (*) d0: temp digit storage
# (*) d1: zero count
# (*) d2: digit count
# (*) d3: offset pointer
# ( ) d4: first word of bcd
# (*) d5: lword counter
# ( ) a0: pointer to working bcd value
# ( ) FP_SCR1: working copy of original bcd value
# ( ) L_SCR1: copy of original exponent word
#
#
# First check the absolute value of the exponent to see if this
# routine is necessary. If so, then check the sign of the exponent
# and do append (+) or strip (-) zeros accordingly.
# This section handles a positive adjusted exponent.
#
ap_st_z:
mov.l (%sp),%d1 # load expA for range test
cmp.l %d1,&27 # test is with 27
ble.w pwrten # if abs(expA) <28, skip ap/st zeros
btst &30,(%a0) # check sign of exp
bne.b ap_st_n # if neg, go to neg side
clr.l %d1 # zero count reg
mov.l (%a0),%d4 # load lword 1 to d4
bfextu %d4{&28:&4},%d0 # get M16 in d0
bne.b ap_p_fx # if M16 is non-zero, go fix exp
addq.l &1,%d1 # inc zero count
mov.l &1,%d5 # init lword counter
mov.l (%a0,%d5.L*4),%d4 # get lword 2 to d4
bne.b ap_p_cl # if lw 2 is zero, skip it
addq.l &8,%d1 # and inc count by 8
addq.l &1,%d5 # inc lword counter
mov.l (%a0,%d5.L*4),%d4 # get lword 3 to d4
ap_p_cl:
clr.l %d3 # init offset reg
mov.l &7,%d2 # init digit counter
ap_p_gd:
bfextu %d4{%d3:&4},%d0 # get digit
bne.b ap_p_fx # if non-zero, go to fix exp
addq.l &4,%d3 # point to next digit
addq.l &1,%d1 # inc digit counter
dbf.w %d2,ap_p_gd # get next digit
ap_p_fx:
mov.l %d1,%d0 # copy counter to d2
mov.l (%sp),%d1 # get adjusted exp from memory
sub.l %d0,%d1 # subtract count from exp
bge.b ap_p_fm # if still pos, go to pwrten
neg.l %d1 # now its neg; get abs
mov.l (%a0),%d4 # load lword 1 to d4
or.l &0x40000000,%d4 # and set SE in d4
or.l &0x40000000,(%a0) # and in memory
#
# Calculate the mantissa multiplier to compensate for the striping of
# zeros from the mantissa.
#
ap_p_fm:
lea.l PTENRN(%pc),%a1 # get address of power-of-ten table
clr.l %d3 # init table index
fmov.s &0x3f800000,%fp1 # init fp1 to 1
mov.l &3,%d2 # init d2 to count bits in counter
ap_p_el:
asr.l &1,%d0 # shift lsb into carry
bcc.b ap_p_en # if 1, mul fp1 by pwrten factor
fmul.x (%a1,%d3),%fp1 # mul by 10**(d3_bit_no)
ap_p_en:
add.l &12,%d3 # inc d3 to next rtable entry
tst.l %d0 # check if d0 is zero
bne.b ap_p_el # if not, get next bit
fmul.x %fp1,%fp0 # mul mantissa by 10**(no_bits_shifted)
bra.b pwrten # go calc pwrten
#
# This section handles a negative adjusted exponent.
#
ap_st_n:
clr.l %d1 # clr counter
mov.l &2,%d5 # set up d5 to point to lword 3
mov.l (%a0,%d5.L*4),%d4 # get lword 3
bne.b ap_n_cl # if not zero, check digits
sub.l &1,%d5 # dec d5 to point to lword 2
addq.l &8,%d1 # inc counter by 8
mov.l (%a0,%d5.L*4),%d4 # get lword 2
ap_n_cl:
mov.l &28,%d3 # point to last digit
mov.l &7,%d2 # init digit counter
ap_n_gd:
bfextu %d4{%d3:&4},%d0 # get digit
bne.b ap_n_fx # if non-zero, go to exp fix
subq.l &4,%d3 # point to previous digit
addq.l &1,%d1 # inc digit counter
dbf.w %d2,ap_n_gd # get next digit
ap_n_fx:
mov.l %d1,%d0 # copy counter to d0
mov.l (%sp),%d1 # get adjusted exp from memory
sub.l %d0,%d1 # subtract count from exp
bgt.b ap_n_fm # if still pos, go fix mantissa
neg.l %d1 # take abs of exp and clr SE
mov.l (%a0),%d4 # load lword 1 to d4
and.l &0xbfffffff,%d4 # and clr SE in d4
and.l &0xbfffffff,(%a0) # and in memory
#
# Calculate the mantissa multiplier to compensate for the appending of
# zeros to the mantissa.
#
ap_n_fm:
lea.l PTENRN(%pc),%a1 # get address of power-of-ten table
clr.l %d3 # init table index
fmov.s &0x3f800000,%fp1 # init fp1 to 1
mov.l &3,%d2 # init d2 to count bits in counter
ap_n_el:
asr.l &1,%d0 # shift lsb into carry
bcc.b ap_n_en # if 1, mul fp1 by pwrten factor
fmul.x (%a1,%d3),%fp1 # mul by 10**(d3_bit_no)
ap_n_en:
add.l &12,%d3 # inc d3 to next rtable entry
tst.l %d0 # check if d0 is zero
bne.b ap_n_el # if not, get next bit
fdiv.x %fp1,%fp0 # div mantissa by 10**(no_bits_shifted)
#
#
# Calculate power-of-ten factor from adjusted and shifted exponent.
#
# Register usage:
#
# pwrten:
# (*) d0: temp
# ( ) d1: exponent
# (*) d2: {FPCR[6:5],SM,SE} as index in RTABLE; temp
# (*) d3: FPCR work copy
# ( ) d4: first word of bcd
# (*) a1: RTABLE pointer
# calc_p:
# (*) d0: temp
# ( ) d1: exponent
# (*) d3: PWRTxx table index
# ( ) a0: pointer to working copy of bcd
# (*) a1: PWRTxx pointer
# (*) fp1: power-of-ten accumulator
#
# Pwrten calculates the exponent factor in the selected rounding mode
# according to the following table:
#
# Sign of Mant Sign of Exp Rounding Mode PWRTEN Rounding Mode
#
# ANY ANY RN RN
#
# + + RP RP
# - + RP RM
# + - RP RM
# - - RP RP
#
# + + RM RM
# - + RM RP
# + - RM RP
# - - RM RM
#
# + + RZ RM
# - + RZ RM
# + - RZ RP
# - - RZ RP
#
#
pwrten:
mov.l USER_FPCR(%a6),%d3 # get user's FPCR
bfextu %d3{&26:&2},%d2 # isolate rounding mode bits
mov.l (%a0),%d4 # reload 1st bcd word to d4
asl.l &2,%d2 # format d2 to be
bfextu %d4{&0:&2},%d0 # {FPCR[6],FPCR[5],SM,SE}
add.l %d0,%d2 # in d2 as index into RTABLE
lea.l RTABLE(%pc),%a1 # load rtable base
mov.b (%a1,%d2),%d0 # load new rounding bits from table
clr.l %d3 # clear d3 to force no exc and extended
bfins %d0,%d3{&26:&2} # stuff new rounding bits in FPCR
fmov.l %d3,%fpcr # write new FPCR
asr.l &1,%d0 # write correct PTENxx table
bcc.b not_rp # to a1
lea.l PTENRP(%pc),%a1 # it is RP
bra.b calc_p # go to init section
not_rp:
asr.l &1,%d0 # keep checking
bcc.b not_rm
lea.l PTENRM(%pc),%a1 # it is RM
bra.b calc_p # go to init section
not_rm:
lea.l PTENRN(%pc),%a1 # it is RN
calc_p:
mov.l %d1,%d0 # copy exp to d0;use d0
bpl.b no_neg # if exp is negative,
neg.l %d0 # invert it
or.l &0x40000000,(%a0) # and set SE bit
no_neg:
clr.l %d3 # table index
fmov.s &0x3f800000,%fp1 # init fp1 to 1
e_loop:
asr.l &1,%d0 # shift next bit into carry
bcc.b e_next # if zero, skip the mul
fmul.x (%a1,%d3),%fp1 # mul by 10**(d3_bit_no)
e_next:
add.l &12,%d3 # inc d3 to next rtable entry
tst.l %d0 # check if d0 is zero
bne.b e_loop # not zero, continue shifting
#
#
# Check the sign of the adjusted exp and make the value in fp0 the
# same sign. If the exp was pos then multiply fp1*fp0;
# else divide fp0/fp1.
#
# Register Usage:
# norm:
# ( ) a0: pointer to working bcd value
# (*) fp0: mantissa accumulator
# ( ) fp1: scaling factor - 10**(abs(exp))
#
pnorm:
btst &30,(%a0) # test the sign of the exponent
beq.b mul # if clear, go to multiply
div:
fdiv.x %fp1,%fp0 # exp is negative, so divide mant by exp
bra.b end_dec
mul:
fmul.x %fp1,%fp0 # exp is positive, so multiply by exp
#
#
# Clean up and return with result in fp0.
#
# If the final mul/div in decbin incurred an inex exception,
# it will be inex2, but will be reported as inex1 by get_op.
#
end_dec:
fmov.l %fpsr,%d0 # get status register
bclr &inex2_bit+8,%d0 # test for inex2 and clear it
beq.b no_exc # skip this if no exc
ori.w &inx1a_mask,2+USER_FPSR(%a6) # set INEX1/AINEX
no_exc:
add.l &0x4,%sp # clear 1 lw param
fmovm.x (%sp)+,&0x40 # restore fp1
movm.l (%sp)+,&0x3c # restore d2-d5
fmov.l &0x0,%fpcr
fmov.l &0x0,%fpsr
rts
#########################################################################
# bindec(): Converts an input in extended precision format to bcd format#
# #
# INPUT *************************************************************** #
# a0 = pointer to the input extended precision value in memory. #
# the input may be either normalized, unnormalized, or #
# denormalized. #
# d0 = contains the k-factor sign-extended to 32-bits. #
# #
# OUTPUT ************************************************************** #
# FP_SCR0(a6) = bcd format result on the stack. #
# #
# ALGORITHM *********************************************************** #
# #
# A1. Set RM and size ext; Set SIGMA = sign of input. #
# The k-factor is saved for use in d7. Clear the #
# BINDEC_FLG for separating normalized/denormalized #
# input. If input is unnormalized or denormalized, #
# normalize it. #
# #
# A2. Set X = abs(input). #
# #
# A3. Compute ILOG. #
# ILOG is the log base 10 of the input value. It is #
# approximated by adding e + 0.f when the original #
# value is viewed as 2^^e * 1.f in extended precision. #
# This value is stored in d6. #
# #
# A4. Clr INEX bit. #
# The operation in A3 above may have set INEX2. #
# #
# A5. Set ICTR = 0; #
# ICTR is a flag used in A13. It must be set before the #
# loop entry A6. #
# #
# A6. Calculate LEN. #
# LEN is the number of digits to be displayed. The #
# k-factor can dictate either the total number of digits, #
# if it is a positive number, or the number of digits #
# after the decimal point which are to be included as #
# significant. See the 68882 manual for examples. #
# If LEN is computed to be greater than 17, set OPERR in #
# USER_FPSR. LEN is stored in d4. #
# #
# A7. Calculate SCALE. #
# SCALE is equal to 10^ISCALE, where ISCALE is the number #
# of decimal places needed to insure LEN integer digits #
# in the output before conversion to bcd. LAMBDA is the #
# sign of ISCALE, used in A9. Fp1 contains #
# 10^^(abs(ISCALE)) using a rounding mode which is a #
# function of the original rounding mode and the signs #
# of ISCALE and X. A table is given in the code. #
# #
# A8. Clr INEX; Force RZ. #
# The operation in A3 above may have set INEX2. #
# RZ mode is forced for the scaling operation to insure #
# only one rounding error. The grs bits are collected in #
# the INEX flag for use in A10. #
# #
# A9. Scale X -> Y. #
# The mantissa is scaled to the desired number of #
# significant digits. The excess digits are collected #
# in INEX2. #
# #
# A10. Or in INEX. #
# If INEX is set, round error occurred. This is #
# compensated for by 'or-ing' in the INEX2 flag to #
# the lsb of Y. #
# #
# A11. Restore original FPCR; set size ext. #
# Perform FINT operation in the user's rounding mode. #
# Keep the size to extended. #
# #
# A12. Calculate YINT = FINT(Y) according to user's rounding #
# mode. The FPSP routine sintd0 is used. The output #
# is in fp0. #
# #
# A13. Check for LEN digits. #
# If the int operation results in more than LEN digits, #
# or less than LEN -1 digits, adjust ILOG and repeat from #
# A6. This test occurs only on the first pass. If the #
# result is exactly 10^LEN, decrement ILOG and divide #
# the mantissa by 10. #
# #
# A14. Convert the mantissa to bcd. #
# The binstr routine is used to convert the LEN digit #
# mantissa to bcd in memory. The input to binstr is #
# to be a fraction; i.e. (mantissa)/10^LEN and adjusted #
# such that the decimal point is to the left of bit 63. #
# The bcd digits are stored in the correct position in #
# the final string area in memory. #
# #
# A15. Convert the exponent to bcd. #
# As in A14 above, the exp is converted to bcd and the #
# digits are stored in the final string. #
# Test the length of the final exponent string. If the #
# length is 4, set operr. #
# #
# A16. Write sign bits to final string. #
# #
#########################################################################
set BINDEC_FLG, EXC_TEMP # DENORM flag
# Constants in extended precision
PLOG2:
long 0x3FFD0000,0x9A209A84,0xFBCFF798,0x00000000
PLOG2UP1:
long 0x3FFD0000,0x9A209A84,0xFBCFF799,0x00000000
# Constants in single precision
FONE:
long 0x3F800000,0x00000000,0x00000000,0x00000000
FTWO:
long 0x40000000,0x00000000,0x00000000,0x00000000
FTEN:
long 0x41200000,0x00000000,0x00000000,0x00000000
F4933:
long 0x459A2800,0x00000000,0x00000000,0x00000000
RBDTBL:
byte 0,0,0,0
byte 3,3,2,2
byte 3,2,2,3
byte 2,3,3,2
# Implementation Notes:
#
# The registers are used as follows:
#
# d0: scratch; LEN input to binstr
# d1: scratch
# d2: upper 32-bits of mantissa for binstr
# d3: scratch;lower 32-bits of mantissa for binstr
# d4: LEN
# d5: LAMBDA/ICTR
# d6: ILOG
# d7: k-factor
# a0: ptr for original operand/final result
# a1: scratch pointer
# a2: pointer to FP_X; abs(original value) in ext
# fp0: scratch
# fp1: scratch
# fp2: scratch
# F_SCR1:
# F_SCR2:
# L_SCR1:
# L_SCR2:
global bindec
bindec:
movm.l &0x3f20,-(%sp) # {%d2-%d7/%a2}
fmovm.x &0x7,-(%sp) # {%fp0-%fp2}
# A1. Set RM and size ext. Set SIGMA = sign input;
# The k-factor is saved for use in d7. Clear BINDEC_FLG for
# separating normalized/denormalized input. If the input
# is a denormalized number, set the BINDEC_FLG memory word
# to signal denorm. If the input is unnormalized, normalize
# the input and test for denormalized result.
#
fmov.l &rm_mode*0x10,%fpcr # set RM and ext
mov.l (%a0),L_SCR2(%a6) # save exponent for sign check
mov.l %d0,%d7 # move k-factor to d7
clr.b BINDEC_FLG(%a6) # clr norm/denorm flag
cmpi.b STAG(%a6),&DENORM # is input a DENORM?
bne.w A2_str # no; input is a NORM
#
# Normalize the denorm
#
un_de_norm:
mov.w (%a0),%d0
and.w &0x7fff,%d0 # strip sign of normalized exp
mov.l 4(%a0),%d1
mov.l 8(%a0),%d2
norm_loop:
sub.w &1,%d0
lsl.l &1,%d2
roxl.l &1,%d1
tst.l %d1
bge.b norm_loop
#
# Test if the normalized input is denormalized
#
tst.w %d0
bgt.b pos_exp # if greater than zero, it is a norm
st BINDEC_FLG(%a6) # set flag for denorm
pos_exp:
and.w &0x7fff,%d0 # strip sign of normalized exp
mov.w %d0,(%a0)
mov.l %d1,4(%a0)
mov.l %d2,8(%a0)
# A2. Set X = abs(input).
#
A2_str:
mov.l (%a0),FP_SCR1(%a6) # move input to work space
mov.l 4(%a0),FP_SCR1+4(%a6) # move input to work space
mov.l 8(%a0),FP_SCR1+8(%a6) # move input to work space
and.l &0x7fffffff,FP_SCR1(%a6) # create abs(X)
# A3. Compute ILOG.
# ILOG is the log base 10 of the input value. It is approx-
# imated by adding e + 0.f when the original value is viewed
# as 2^^e * 1.f in extended precision. This value is stored
# in d6.
#
# Register usage:
# Input/Output
# d0: k-factor/exponent
# d2: x/x
# d3: x/x
# d4: x/x
# d5: x/x
# d6: x/ILOG
# d7: k-factor/Unchanged
# a0: ptr for original operand/final result
# a1: x/x
# a2: x/x
# fp0: x/float(ILOG)
# fp1: x/x
# fp2: x/x
# F_SCR1:x/x
# F_SCR2:Abs(X)/Abs(X) with $3fff exponent
# L_SCR1:x/x
# L_SCR2:first word of X packed/Unchanged
tst.b BINDEC_FLG(%a6) # check for denorm
beq.b A3_cont # if clr, continue with norm
mov.l &-4933,%d6 # force ILOG = -4933
bra.b A4_str
A3_cont:
mov.w FP_SCR1(%a6),%d0 # move exp to d0
mov.w &0x3fff,FP_SCR1(%a6) # replace exponent with 0x3fff
fmov.x FP_SCR1(%a6),%fp0 # now fp0 has 1.f
sub.w &0x3fff,%d0 # strip off bias
fadd.w %d0,%fp0 # add in exp
fsub.s FONE(%pc),%fp0 # subtract off 1.0
fbge.w pos_res # if pos, branch
fmul.x PLOG2UP1(%pc),%fp0 # if neg, mul by LOG2UP1
fmov.l %fp0,%d6 # put ILOG in d6 as a lword
bra.b A4_str # go move out ILOG
pos_res:
fmul.x PLOG2(%pc),%fp0 # if pos, mul by LOG2
fmov.l %fp0,%d6 # put ILOG in d6 as a lword
# A4. Clr INEX bit.
# The operation in A3 above may have set INEX2.
A4_str:
fmov.l &0,%fpsr # zero all of fpsr - nothing needed
# A5. Set ICTR = 0;
# ICTR is a flag used in A13. It must be set before the
# loop entry A6. The lower word of d5 is used for ICTR.
clr.w %d5 # clear ICTR
# A6. Calculate LEN.
# LEN is the number of digits to be displayed. The k-factor
# can dictate either the total number of digits, if it is
# a positive number, or the number of digits after the
# original decimal point which are to be included as
# significant. See the 68882 manual for examples.
# If LEN is computed to be greater than 17, set OPERR in
# USER_FPSR. LEN is stored in d4.
#
# Register usage:
# Input/Output
# d0: exponent/Unchanged
# d2: x/x/scratch
# d3: x/x
# d4: exc picture/LEN
# d5: ICTR/Unchanged
# d6: ILOG/Unchanged
# d7: k-factor/Unchanged
# a0: ptr for original operand/final result
# a1: x/x
# a2: x/x
# fp0: float(ILOG)/Unchanged
# fp1: x/x
# fp2: x/x
# F_SCR1:x/x
# F_SCR2:Abs(X) with $3fff exponent/Unchanged
# L_SCR1:x/x
# L_SCR2:first word of X packed/Unchanged
A6_str:
tst.l %d7 # branch on sign of k
ble.b k_neg # if k <= 0, LEN = ILOG + 1 - k
mov.l %d7,%d4 # if k > 0, LEN = k
bra.b len_ck # skip to LEN check
k_neg:
mov.l %d6,%d4 # first load ILOG to d4
sub.l %d7,%d4 # subtract off k
addq.l &1,%d4 # add in the 1
len_ck:
tst.l %d4 # LEN check: branch on sign of LEN
ble.b LEN_ng # if neg, set LEN = 1
cmp.l %d4,&17 # test if LEN > 17
ble.b A7_str # if not, forget it
mov.l &17,%d4 # set max LEN = 17
tst.l %d7 # if negative, never set OPERR
ble.b A7_str # if positive, continue
or.l &opaop_mask,USER_FPSR(%a6) # set OPERR & AIOP in USER_FPSR
bra.b A7_str # finished here
LEN_ng:
mov.l &1,%d4 # min LEN is 1
# A7. Calculate SCALE.
# SCALE is equal to 10^ISCALE, where ISCALE is the number
# of decimal places needed to insure LEN integer digits
# in the output before conversion to bcd. LAMBDA is the sign
# of ISCALE, used in A9. Fp1 contains 10^^(abs(ISCALE)) using
# the rounding mode as given in the following table (see
# Coonen, p. 7.23 as ref.; however, the SCALE variable is
# of opposite sign in bindec.sa from Coonen).
#
# Initial USE
# FPCR[6:5] LAMBDA SIGN(X) FPCR[6:5]
# ----------------------------------------------
# RN 00 0 0 00/0 RN
# RN 00 0 1 00/0 RN
# RN 00 1 0 00/0 RN
# RN 00 1 1 00/0 RN
# RZ 01 0 0 11/3 RP
# RZ 01 0 1 11/3 RP
# RZ 01 1 0 10/2 RM
# RZ 01 1 1 10/2 RM
# RM 10 0 0 11/3 RP
# RM 10 0 1 10/2 RM
# RM 10 1 0 10/2 RM
# RM 10 1 1 11/3 RP
# RP 11 0 0 10/2 RM
# RP 11 0 1 11/3 RP
# RP 11 1 0 11/3 RP
# RP 11 1 1 10/2 RM
#
# Register usage:
# Input/Output
# d0: exponent/scratch - final is 0
# d2: x/0 or 24 for A9
# d3: x/scratch - offset ptr into PTENRM array
# d4: LEN/Unchanged
# d5: 0/ICTR:LAMBDA
# d6: ILOG/ILOG or k if ((k<=0)&(ILOG<k))
# d7: k-factor/Unchanged
# a0: ptr for original operand/final result
# a1: x/ptr to PTENRM array
# a2: x/x
# fp0: float(ILOG)/Unchanged
# fp1: x/10^ISCALE
# fp2: x/x
# F_SCR1:x/x
# F_SCR2:Abs(X) with $3fff exponent/Unchanged
# L_SCR1:x/x
# L_SCR2:first word of X packed/Unchanged
A7_str:
tst.l %d7 # test sign of k
bgt.b k_pos # if pos and > 0, skip this
cmp.l %d7,%d6 # test k - ILOG
blt.b k_pos # if ILOG >= k, skip this
mov.l %d7,%d6 # if ((k<0) & (ILOG < k)) ILOG = k
k_pos:
mov.l %d6,%d0 # calc ILOG + 1 - LEN in d0
addq.l &1,%d0 # add the 1
sub.l %d4,%d0 # sub off LEN
swap %d5 # use upper word of d5 for LAMBDA
clr.w %d5 # set it zero initially
clr.w %d2 # set up d2 for very small case
tst.l %d0 # test sign of ISCALE
bge.b iscale # if pos, skip next inst
addq.w &1,%d5 # if neg, set LAMBDA true
cmp.l %d0,&0xffffecd4 # test iscale <= -4908
bgt.b no_inf # if false, skip rest
add.l &24,%d0 # add in 24 to iscale
mov.l &24,%d2 # put 24 in d2 for A9
no_inf:
neg.l %d0 # and take abs of ISCALE
iscale:
fmov.s FONE(%pc),%fp1 # init fp1 to 1
bfextu USER_FPCR(%a6){&26:&2},%d1 # get initial rmode bits
lsl.w &1,%d1 # put them in bits 2:1
add.w %d5,%d1 # add in LAMBDA
lsl.w &1,%d1 # put them in bits 3:1
tst.l L_SCR2(%a6) # test sign of original x
bge.b x_pos # if pos, don't set bit 0
addq.l &1,%d1 # if neg, set bit 0
x_pos:
lea.l RBDTBL(%pc),%a2 # load rbdtbl base
mov.b (%a2,%d1),%d3 # load d3 with new rmode
lsl.l &4,%d3 # put bits in proper position
fmov.l %d3,%fpcr # load bits into fpu
lsr.l &4,%d3 # put bits in proper position
tst.b %d3 # decode new rmode for pten table
bne.b not_rn # if zero, it is RN
lea.l PTENRN(%pc),%a1 # load a1 with RN table base
bra.b rmode # exit decode
not_rn:
lsr.b &1,%d3 # get lsb in carry
bcc.b not_rp2 # if carry clear, it is RM
lea.l PTENRP(%pc),%a1 # load a1 with RP table base
bra.b rmode # exit decode
not_rp2:
lea.l PTENRM(%pc),%a1 # load a1 with RM table base
rmode:
clr.l %d3 # clr table index
e_loop2:
lsr.l &1,%d0 # shift next bit into carry
bcc.b e_next2 # if zero, skip the mul
fmul.x (%a1,%d3),%fp1 # mul by 10**(d3_bit_no)
e_next2:
add.l &12,%d3 # inc d3 to next pwrten table entry
tst.l %d0 # test if ISCALE is zero
bne.b e_loop2 # if not, loop
# A8. Clr INEX; Force RZ.
# The operation in A3 above may have set INEX2.
# RZ mode is forced for the scaling operation to insure
# only one rounding error. The grs bits are collected in
# the INEX flag for use in A10.
#
# Register usage:
# Input/Output
fmov.l &0,%fpsr # clr INEX
fmov.l &rz_mode*0x10,%fpcr # set RZ rounding mode
# A9. Scale X -> Y.
# The mantissa is scaled to the desired number of significant
# digits. The excess digits are collected in INEX2. If mul,
# Check d2 for excess 10 exponential value. If not zero,
# the iscale value would have caused the pwrten calculation
# to overflow. Only a negative iscale can cause this, so
# multiply by 10^(d2), which is now only allowed to be 24,
# with a multiply by 10^8 and 10^16, which is exact since
# 10^24 is exact. If the input was denormalized, we must
# create a busy stack frame with the mul command and the
# two operands, and allow the fpu to complete the multiply.
#
# Register usage:
# Input/Output
# d0: FPCR with RZ mode/Unchanged
# d2: 0 or 24/unchanged
# d3: x/x
# d4: LEN/Unchanged
# d5: ICTR:LAMBDA
# d6: ILOG/Unchanged
# d7: k-factor/Unchanged
# a0: ptr for original operand/final result
# a1: ptr to PTENRM array/Unchanged
# a2: x/x
# fp0: float(ILOG)/X adjusted for SCALE (Y)
# fp1: 10^ISCALE/Unchanged
# fp2: x/x
# F_SCR1:x/x
# F_SCR2:Abs(X) with $3fff exponent/Unchanged
# L_SCR1:x/x
# L_SCR2:first word of X packed/Unchanged
A9_str:
fmov.x (%a0),%fp0 # load X from memory
fabs.x %fp0 # use abs(X)
tst.w %d5 # LAMBDA is in lower word of d5
bne.b sc_mul # if neg (LAMBDA = 1), scale by mul
fdiv.x %fp1,%fp0 # calculate X / SCALE -> Y to fp0
bra.w A10_st # branch to A10
sc_mul:
tst.b BINDEC_FLG(%a6) # check for denorm
beq.w A9_norm # if norm, continue with mul
# for DENORM, we must calculate:
# fp0 = input_op * 10^ISCALE * 10^24
# since the input operand is a DENORM, we can't multiply it directly.
# so, we do the multiplication of the exponents and mantissas separately.
# in this way, we avoid underflow on intermediate stages of the
# multiplication and guarantee a result without exception.
fmovm.x &0x2,-(%sp) # save 10^ISCALE to stack
mov.w (%sp),%d3 # grab exponent
andi.w &0x7fff,%d3 # clear sign
ori.w &0x8000,(%a0) # make DENORM exp negative
add.w (%a0),%d3 # add DENORM exp to 10^ISCALE exp
subi.w &0x3fff,%d3 # subtract BIAS
add.w 36(%a1),%d3
subi.w &0x3fff,%d3 # subtract BIAS
add.w 48(%a1),%d3
subi.w &0x3fff,%d3 # subtract BIAS
bmi.w sc_mul_err # is result is DENORM, punt!!!
andi.w &0x8000,(%sp) # keep sign
or.w %d3,(%sp) # insert new exponent
andi.w &0x7fff,(%a0) # clear sign bit on DENORM again
mov.l 0x8(%a0),-(%sp) # put input op mantissa on stk
mov.l 0x4(%a0),-(%sp)
mov.l &0x3fff0000,-(%sp) # force exp to zero
fmovm.x (%sp)+,&0x80 # load normalized DENORM into fp0
fmul.x (%sp)+,%fp0
# fmul.x 36(%a1),%fp0 # multiply fp0 by 10^8
# fmul.x 48(%a1),%fp0 # multiply fp0 by 10^16
mov.l 36+8(%a1),-(%sp) # get 10^8 mantissa
mov.l 36+4(%a1),-(%sp)
mov.l &0x3fff0000,-(%sp) # force exp to zero
mov.l 48+8(%a1),-(%sp) # get 10^16 mantissa
mov.l 48+4(%a1),-(%sp)
mov.l &0x3fff0000,-(%sp)# force exp to zero
fmul.x (%sp)+,%fp0 # multiply fp0 by 10^8
fmul.x (%sp)+,%fp0 # multiply fp0 by 10^16
bra.b A10_st
sc_mul_err:
bra.b sc_mul_err
A9_norm:
tst.w %d2 # test for small exp case
beq.b A9_con # if zero, continue as normal
fmul.x 36(%a1),%fp0 # multiply fp0 by 10^8
fmul.x 48(%a1),%fp0 # multiply fp0 by 10^16
A9_con:
fmul.x %fp1,%fp0 # calculate X * SCALE -> Y to fp0
# A10. Or in INEX.
# If INEX is set, round error occurred. This is compensated
# for by 'or-ing' in the INEX2 flag to the lsb of Y.
#
# Register usage:
# Input/Output
# d0: FPCR with RZ mode/FPSR with INEX2 isolated
# d2: x/x
# d3: x/x
# d4: LEN/Unchanged
# d5: ICTR:LAMBDA
# d6: ILOG/Unchanged
# d7: k-factor/Unchanged
# a0: ptr for original operand/final result
# a1: ptr to PTENxx array/Unchanged
# a2: x/ptr to FP_SCR1(a6)
# fp0: Y/Y with lsb adjusted
# fp1: 10^ISCALE/Unchanged
# fp2: x/x
A10_st:
fmov.l %fpsr,%d0 # get FPSR
fmov.x %fp0,FP_SCR1(%a6) # move Y to memory
lea.l FP_SCR1(%a6),%a2 # load a2 with ptr to FP_SCR1
btst &9,%d0 # check if INEX2 set
beq.b A11_st # if clear, skip rest
or.l &1,8(%a2) # or in 1 to lsb of mantissa
fmov.x FP_SCR1(%a6),%fp0 # write adjusted Y back to fpu
# A11. Restore original FPCR; set size ext.
# Perform FINT operation in the user's rounding mode. Keep
# the size to extended. The sintdo entry point in the sint
# routine expects the FPCR value to be in USER_FPCR for
# mode and precision. The original FPCR is saved in L_SCR1.
A11_st:
mov.l USER_FPCR(%a6),L_SCR1(%a6) # save it for later
and.l &0x00000030,USER_FPCR(%a6) # set size to ext,
# ;block exceptions
# A12. Calculate YINT = FINT(Y) according to user's rounding mode.
# The FPSP routine sintd0 is used. The output is in fp0.
#
# Register usage:
# Input/Output
# d0: FPSR with AINEX cleared/FPCR with size set to ext
# d2: x/x/scratch
# d3: x/x
# d4: LEN/Unchanged
# d5: ICTR:LAMBDA/Unchanged
# d6: ILOG/Unchanged
# d7: k-factor/Unchanged
# a0: ptr for original operand/src ptr for sintdo
# a1: ptr to PTENxx array/Unchanged
# a2: ptr to FP_SCR1(a6)/Unchanged
# a6: temp pointer to FP_SCR1(a6) - orig value saved and restored
# fp0: Y/YINT
# fp1: 10^ISCALE/Unchanged
# fp2: x/x
# F_SCR1:x/x
# F_SCR2:Y adjusted for inex/Y with original exponent
# L_SCR1:x/original USER_FPCR
# L_SCR2:first word of X packed/Unchanged
A12_st:
movm.l &0xc0c0,-(%sp) # save regs used by sintd0 {%d0-%d1/%a0-%a1}
mov.l L_SCR1(%a6),-(%sp)
mov.l L_SCR2(%a6),-(%sp)
lea.l FP_SCR1(%a6),%a0 # a0 is ptr to FP_SCR1(a6)
fmov.x %fp0,(%a0) # move Y to memory at FP_SCR1(a6)
tst.l L_SCR2(%a6) # test sign of original operand
bge.b do_fint12 # if pos, use Y
or.l &0x80000000,(%a0) # if neg, use -Y
do_fint12:
mov.l USER_FPSR(%a6),-(%sp)
# bsr sintdo # sint routine returns int in fp0
fmov.l USER_FPCR(%a6),%fpcr
fmov.l &0x0,%fpsr # clear the AEXC bits!!!
## mov.l USER_FPCR(%a6),%d0 # ext prec/keep rnd mode
## andi.l &0x00000030,%d0
## fmov.l %d0,%fpcr
fint.x FP_SCR1(%a6),%fp0 # do fint()
fmov.l %fpsr,%d0
or.w %d0,FPSR_EXCEPT(%a6)
## fmov.l &0x0,%fpcr
## fmov.l %fpsr,%d0 # don't keep ccodes
## or.w %d0,FPSR_EXCEPT(%a6)
mov.b (%sp),USER_FPSR(%a6)
add.l &4,%sp
mov.l (%sp)+,L_SCR2(%a6)
mov.l (%sp)+,L_SCR1(%a6)
movm.l (%sp)+,&0x303 # restore regs used by sint {%d0-%d1/%a0-%a1}
mov.l L_SCR2(%a6),FP_SCR1(%a6) # restore original exponent
mov.l L_SCR1(%a6),USER_FPCR(%a6) # restore user's FPCR
# A13. Check for LEN digits.
# If the int operation results in more than LEN digits,
# or less than LEN -1 digits, adjust ILOG and repeat from
# A6. This test occurs only on the first pass. If the
# result is exactly 10^LEN, decrement ILOG and divide
# the mantissa by 10. The calculation of 10^LEN cannot
# be inexact, since all powers of ten up to 10^27 are exact
# in extended precision, so the use of a previous power-of-ten
# table will introduce no error.
#
#
# Register usage:
# Input/Output
# d0: FPCR with size set to ext/scratch final = 0
# d2: x/x
# d3: x/scratch final = x
# d4: LEN/LEN adjusted
# d5: ICTR:LAMBDA/LAMBDA:ICTR
# d6: ILOG/ILOG adjusted
# d7: k-factor/Unchanged
# a0: pointer into memory for packed bcd string formation
# a1: ptr to PTENxx array/Unchanged
# a2: ptr to FP_SCR1(a6)/Unchanged
# fp0: int portion of Y/abs(YINT) adjusted
# fp1: 10^ISCALE/Unchanged
# fp2: x/10^LEN
# F_SCR1:x/x
# F_SCR2:Y with original exponent/Unchanged
# L_SCR1:original USER_FPCR/Unchanged
# L_SCR2:first word of X packed/Unchanged
A13_st:
swap %d5 # put ICTR in lower word of d5
tst.w %d5 # check if ICTR = 0
bne not_zr # if non-zero, go to second test
#
# Compute 10^(LEN-1)
#
fmov.s FONE(%pc),%fp2 # init fp2 to 1.0
mov.l %d4,%d0 # put LEN in d0
subq.l &1,%d0 # d0 = LEN -1
clr.l %d3 # clr table index
l_loop:
lsr.l &1,%d0 # shift next bit into carry
bcc.b l_next # if zero, skip the mul
fmul.x (%a1,%d3),%fp2 # mul by 10**(d3_bit_no)
l_next:
add.l &12,%d3 # inc d3 to next pwrten table entry
tst.l %d0 # test if LEN is zero
bne.b l_loop # if not, loop
#
# 10^LEN-1 is computed for this test and A14. If the input was
# denormalized, check only the case in which YINT > 10^LEN.
#
tst.b BINDEC_FLG(%a6) # check if input was norm
beq.b A13_con # if norm, continue with checking
fabs.x %fp0 # take abs of YINT
bra test_2
#
# Compare abs(YINT) to 10^(LEN-1) and 10^LEN
#
A13_con:
fabs.x %fp0 # take abs of YINT
fcmp.x %fp0,%fp2 # compare abs(YINT) with 10^(LEN-1)
fbge.w test_2 # if greater, do next test
subq.l &1,%d6 # subtract 1 from ILOG
mov.w &1,%d5 # set ICTR
fmov.l &rm_mode*0x10,%fpcr # set rmode to RM
fmul.s FTEN(%pc),%fp2 # compute 10^LEN
bra.w A6_str # return to A6 and recompute YINT
test_2:
fmul.s FTEN(%pc),%fp2 # compute 10^LEN
fcmp.x %fp0,%fp2 # compare abs(YINT) with 10^LEN
fblt.w A14_st # if less, all is ok, go to A14
fbgt.w fix_ex # if greater, fix and redo
fdiv.s FTEN(%pc),%fp0 # if equal, divide by 10
addq.l &1,%d6 # and inc ILOG
bra.b A14_st # and continue elsewhere
fix_ex:
addq.l &1,%d6 # increment ILOG by 1
mov.w &1,%d5 # set ICTR
fmov.l &rm_mode*0x10,%fpcr # set rmode to RM
bra.w A6_str # return to A6 and recompute YINT
#
# Since ICTR <> 0, we have already been through one adjustment,
# and shouldn't have another; this is to check if abs(YINT) = 10^LEN
# 10^LEN is again computed using whatever table is in a1 since the
# value calculated cannot be inexact.
#
not_zr:
fmov.s FONE(%pc),%fp2 # init fp2 to 1.0
mov.l %d4,%d0 # put LEN in d0
clr.l %d3 # clr table index
z_loop:
lsr.l &1,%d0 # shift next bit into carry
bcc.b z_next # if zero, skip the mul
fmul.x (%a1,%d3),%fp2 # mul by 10**(d3_bit_no)
z_next:
add.l &12,%d3 # inc d3 to next pwrten table entry
tst.l %d0 # test if LEN is zero
bne.b z_loop # if not, loop
fabs.x %fp0 # get abs(YINT)
fcmp.x %fp0,%fp2 # check if abs(YINT) = 10^LEN
fbneq.w A14_st # if not, skip this
fdiv.s FTEN(%pc),%fp0 # divide abs(YINT) by 10
addq.l &1,%d6 # and inc ILOG by 1
addq.l &1,%d4 # and inc LEN
fmul.s FTEN(%pc),%fp2 # if LEN++, the get 10^^LEN
# A14. Convert the mantissa to bcd.
# The binstr routine is used to convert the LEN digit
# mantissa to bcd in memory. The input to binstr is
# to be a fraction; i.e. (mantissa)/10^LEN and adjusted
# such that the decimal point is to the left of bit 63.
# The bcd digits are stored in the correct position in
# the final string area in memory.
#
#
# Register usage:
# Input/Output
# d0: x/LEN call to binstr - final is 0
# d1: x/0
# d2: x/ms 32-bits of mant of abs(YINT)
# d3: x/ls 32-bits of mant of abs(YINT)
# d4: LEN/Unchanged
# d5: ICTR:LAMBDA/LAMBDA:ICTR
# d6: ILOG
# d7: k-factor/Unchanged
# a0: pointer into memory for packed bcd string formation
# /ptr to first mantissa byte in result string
# a1: ptr to PTENxx array/Unchanged
# a2: ptr to FP_SCR1(a6)/Unchanged
# fp0: int portion of Y/abs(YINT) adjusted
# fp1: 10^ISCALE/Unchanged
# fp2: 10^LEN/Unchanged
# F_SCR1:x/Work area for final result
# F_SCR2:Y with original exponent/Unchanged
# L_SCR1:original USER_FPCR/Unchanged
# L_SCR2:first word of X packed/Unchanged
A14_st:
fmov.l &rz_mode*0x10,%fpcr # force rz for conversion
fdiv.x %fp2,%fp0 # divide abs(YINT) by 10^LEN
lea.l FP_SCR0(%a6),%a0
fmov.x %fp0,(%a0) # move abs(YINT)/10^LEN to memory
mov.l 4(%a0),%d2 # move 2nd word of FP_RES to d2
mov.l 8(%a0),%d3 # move 3rd word of FP_RES to d3
clr.l 4(%a0) # zero word 2 of FP_RES
clr.l 8(%a0) # zero word 3 of FP_RES
mov.l (%a0),%d0 # move exponent to d0
swap %d0 # put exponent in lower word
beq.b no_sft # if zero, don't shift
sub.l &0x3ffd,%d0 # sub bias less 2 to make fract
tst.l %d0 # check if > 1
bgt.b no_sft # if so, don't shift
neg.l %d0 # make exp positive
m_loop:
lsr.l &1,%d2 # shift d2:d3 right, add 0s
roxr.l &1,%d3 # the number of places
dbf.w %d0,m_loop # given in d0
no_sft:
tst.l %d2 # check for mantissa of zero
bne.b no_zr # if not, go on
tst.l %d3 # continue zero check
beq.b zer_m # if zero, go directly to binstr
no_zr:
clr.l %d1 # put zero in d1 for addx
add.l &0x00000080,%d3 # inc at bit 7
addx.l %d1,%d2 # continue inc
and.l &0xffffff80,%d3 # strip off lsb not used by 882
zer_m:
mov.l %d4,%d0 # put LEN in d0 for binstr call
addq.l &3,%a0 # a0 points to M16 byte in result
bsr binstr # call binstr to convert mant
# A15. Convert the exponent to bcd.
# As in A14 above, the exp is converted to bcd and the
# digits are stored in the final string.
#
# Digits are stored in L_SCR1(a6) on return from BINDEC as:
#
# 32 16 15 0
# -----------------------------------------
# | 0 | e3 | e2 | e1 | e4 | X | X | X |
# -----------------------------------------
#
# And are moved into their proper places in FP_SCR0. If digit e4
# is non-zero, OPERR is signaled. In all cases, all 4 digits are
# written as specified in the 881/882 manual for packed decimal.
#
# Register usage:
# Input/Output
# d0: x/LEN call to binstr - final is 0
# d1: x/scratch (0);shift count for final exponent packing
# d2: x/ms 32-bits of exp fraction/scratch
# d3: x/ls 32-bits of exp fraction
# d4: LEN/Unchanged
# d5: ICTR:LAMBDA/LAMBDA:ICTR
# d6: ILOG
# d7: k-factor/Unchanged
# a0: ptr to result string/ptr to L_SCR1(a6)
# a1: ptr to PTENxx array/Unchanged
# a2: ptr to FP_SCR1(a6)/Unchanged
# fp0: abs(YINT) adjusted/float(ILOG)
# fp1: 10^ISCALE/Unchanged
# fp2: 10^LEN/Unchanged
# F_SCR1:Work area for final result/BCD result
# F_SCR2:Y with original exponent/ILOG/10^4
# L_SCR1:original USER_FPCR/Exponent digits on return from binstr
# L_SCR2:first word of X packed/Unchanged
A15_st:
tst.b BINDEC_FLG(%a6) # check for denorm
beq.b not_denorm
ftest.x %fp0 # test for zero
fbeq.w den_zero # if zero, use k-factor or 4933
fmov.l %d6,%fp0 # float ILOG
fabs.x %fp0 # get abs of ILOG
bra.b convrt
den_zero:
tst.l %d7 # check sign of the k-factor
blt.b use_ilog # if negative, use ILOG
fmov.s F4933(%pc),%fp0 # force exponent to 4933
bra.b convrt # do it
use_ilog:
fmov.l %d6,%fp0 # float ILOG
fabs.x %fp0 # get abs of ILOG
bra.b convrt
not_denorm:
ftest.x %fp0 # test for zero
fbneq.w not_zero # if zero, force exponent
fmov.s FONE(%pc),%fp0 # force exponent to 1
bra.b convrt # do it
not_zero:
fmov.l %d6,%fp0 # float ILOG
fabs.x %fp0 # get abs of ILOG
convrt:
fdiv.x 24(%a1),%fp0 # compute ILOG/10^4
fmov.x %fp0,FP_SCR1(%a6) # store fp0 in memory
mov.l 4(%a2),%d2 # move word 2 to d2
mov.l 8(%a2),%d3 # move word 3 to d3
mov.w (%a2),%d0 # move exp to d0
beq.b x_loop_fin # if zero, skip the shift
sub.w &0x3ffd,%d0 # subtract off bias
neg.w %d0 # make exp positive
x_loop:
lsr.l &1,%d2 # shift d2:d3 right
roxr.l &1,%d3 # the number of places
dbf.w %d0,x_loop # given in d0
x_loop_fin:
clr.l %d1 # put zero in d1 for addx
add.l &0x00000080,%d3 # inc at bit 6
addx.l %d1,%d2 # continue inc
and.l &0xffffff80,%d3 # strip off lsb not used by 882
mov.l &4,%d0 # put 4 in d0 for binstr call
lea.l L_SCR1(%a6),%a0 # a0 is ptr to L_SCR1 for exp digits
bsr binstr # call binstr to convert exp
mov.l L_SCR1(%a6),%d0 # load L_SCR1 lword to d0
mov.l &12,%d1 # use d1 for shift count
lsr.l %d1,%d0 # shift d0 right by 12
bfins %d0,FP_SCR0(%a6){&4:&12} # put e3:e2:e1 in FP_SCR0
lsr.l %d1,%d0 # shift d0 right by 12
bfins %d0,FP_SCR0(%a6){&16:&4} # put e4 in FP_SCR0
tst.b %d0 # check if e4 is zero
beq.b A16_st # if zero, skip rest
or.l &opaop_mask,USER_FPSR(%a6) # set OPERR & AIOP in USER_FPSR
# A16. Write sign bits to final string.
# Sigma is bit 31 of initial value; RHO is bit 31 of d6 (ILOG).
#
# Register usage:
# Input/Output
# d0: x/scratch - final is x
# d2: x/x
# d3: x/x
# d4: LEN/Unchanged
# d5: ICTR:LAMBDA/LAMBDA:ICTR
# d6: ILOG/ILOG adjusted
# d7: k-factor/Unchanged
# a0: ptr to L_SCR1(a6)/Unchanged
# a1: ptr to PTENxx array/Unchanged
# a2: ptr to FP_SCR1(a6)/Unchanged
# fp0: float(ILOG)/Unchanged
# fp1: 10^ISCALE/Unchanged
# fp2: 10^LEN/Unchanged
# F_SCR1:BCD result with correct signs
# F_SCR2:ILOG/10^4
# L_SCR1:Exponent digits on return from binstr
# L_SCR2:first word of X packed/Unchanged
A16_st:
clr.l %d0 # clr d0 for collection of signs
and.b &0x0f,FP_SCR0(%a6) # clear first nibble of FP_SCR0
tst.l L_SCR2(%a6) # check sign of original mantissa
bge.b mant_p # if pos, don't set SM
mov.l &2,%d0 # move 2 in to d0 for SM
mant_p:
tst.l %d6 # check sign of ILOG
bge.b wr_sgn # if pos, don't set SE
addq.l &1,%d0 # set bit 0 in d0 for SE
wr_sgn:
bfins %d0,FP_SCR0(%a6){&0:&2} # insert SM and SE into FP_SCR0
# Clean up and restore all registers used.
fmov.l &0,%fpsr # clear possible inex2/ainex bits
fmovm.x (%sp)+,&0xe0 # {%fp0-%fp2}
movm.l (%sp)+,&0x4fc # {%d2-%d7/%a2}
rts
global PTENRN
PTENRN:
long 0x40020000,0xA0000000,0x00000000 # 10 ^ 1
long 0x40050000,0xC8000000,0x00000000 # 10 ^ 2
long 0x400C0000,0x9C400000,0x00000000 # 10 ^ 4
long 0x40190000,0xBEBC2000,0x00000000 # 10 ^ 8
long 0x40340000,0x8E1BC9BF,0x04000000 # 10 ^ 16
long 0x40690000,0x9DC5ADA8,0x2B70B59E # 10 ^ 32
long 0x40D30000,0xC2781F49,0xFFCFA6D5 # 10 ^ 64
long 0x41A80000,0x93BA47C9,0x80E98CE0 # 10 ^ 128
long 0x43510000,0xAA7EEBFB,0x9DF9DE8E # 10 ^ 256
long 0x46A30000,0xE319A0AE,0xA60E91C7 # 10 ^ 512
long 0x4D480000,0xC9767586,0x81750C17 # 10 ^ 1024
long 0x5A920000,0x9E8B3B5D,0xC53D5DE5 # 10 ^ 2048
long 0x75250000,0xC4605202,0x8A20979B # 10 ^ 4096
global PTENRP
PTENRP:
long 0x40020000,0xA0000000,0x00000000 # 10 ^ 1
long 0x40050000,0xC8000000,0x00000000 # 10 ^ 2
long 0x400C0000,0x9C400000,0x00000000 # 10 ^ 4
long 0x40190000,0xBEBC2000,0x00000000 # 10 ^ 8
long 0x40340000,0x8E1BC9BF,0x04000000 # 10 ^ 16
long 0x40690000,0x9DC5ADA8,0x2B70B59E # 10 ^ 32
long 0x40D30000,0xC2781F49,0xFFCFA6D6 # 10 ^ 64
long 0x41A80000,0x93BA47C9,0x80E98CE0 # 10 ^ 128
long 0x43510000,0xAA7EEBFB,0x9DF9DE8E # 10 ^ 256
long 0x46A30000,0xE319A0AE,0xA60E91C7 # 10 ^ 512
long 0x4D480000,0xC9767586,0x81750C18 # 10 ^ 1024
long 0x5A920000,0x9E8B3B5D,0xC53D5DE5 # 10 ^ 2048
long 0x75250000,0xC4605202,0x8A20979B # 10 ^ 4096
global PTENRM
PTENRM:
long 0x40020000,0xA0000000,0x00000000 # 10 ^ 1
long 0x40050000,0xC8000000,0x00000000 # 10 ^ 2
long 0x400C0000,0x9C400000,0x00000000 # 10 ^ 4
long 0x40190000,0xBEBC2000,0x00000000 # 10 ^ 8
long 0x40340000,0x8E1BC9BF,0x04000000 # 10 ^ 16
long 0x40690000,0x9DC5ADA8,0x2B70B59D # 10 ^ 32
long 0x40D30000,0xC2781F49,0xFFCFA6D5 # 10 ^ 64
long 0x41A80000,0x93BA47C9,0x80E98CDF # 10 ^ 128
long 0x43510000,0xAA7EEBFB,0x9DF9DE8D # 10 ^ 256
long 0x46A30000,0xE319A0AE,0xA60E91C6 # 10 ^ 512
long 0x4D480000,0xC9767586,0x81750C17 # 10 ^ 1024
long 0x5A920000,0x9E8B3B5D,0xC53D5DE4 # 10 ^ 2048
long 0x75250000,0xC4605202,0x8A20979A # 10 ^ 4096
#########################################################################
# binstr(): Converts a 64-bit binary integer to bcd. #
# #
# INPUT *************************************************************** #
# d2:d3 = 64-bit binary integer #
# d0 = desired length (LEN) #
# a0 = pointer to start in memory for bcd characters #
# (This pointer must point to byte 4 of the first #
# lword of the packed decimal memory string.) #
# #
# OUTPUT ************************************************************** #
# a0 = pointer to LEN bcd digits representing the 64-bit integer. #
# #
# ALGORITHM *********************************************************** #
# The 64-bit binary is assumed to have a decimal point before #
# bit 63. The fraction is multiplied by 10 using a mul by 2 #
# shift and a mul by 8 shift. The bits shifted out of the #
# msb form a decimal digit. This process is iterated until #
# LEN digits are formed. #
# #
# A1. Init d7 to 1. D7 is the byte digit counter, and if 1, the #
# digit formed will be assumed the least significant. This is #
# to force the first byte formed to have a 0 in the upper 4 bits. #
# #
# A2. Beginning of the loop: #
# Copy the fraction in d2:d3 to d4:d5. #
# #
# A3. Multiply the fraction in d2:d3 by 8 using bit-field #
# extracts and shifts. The three msbs from d2 will go into d1. #
# #
# A4. Multiply the fraction in d4:d5 by 2 using shifts. The msb #
# will be collected by the carry. #
# #
# A5. Add using the carry the 64-bit quantities in d2:d3 and d4:d5 #
# into d2:d3. D1 will contain the bcd digit formed. #
# #
# A6. Test d7. If zero, the digit formed is the ms digit. If non- #
# zero, it is the ls digit. Put the digit in its place in the #
# upper word of d0. If it is the ls digit, write the word #
# from d0 to memory. #
# #
# A7. Decrement d6 (LEN counter) and repeat the loop until zero. #
# #
#########################################################################
# Implementation Notes:
#
# The registers are used as follows:
#
# d0: LEN counter
# d1: temp used to form the digit
# d2: upper 32-bits of fraction for mul by 8
# d3: lower 32-bits of fraction for mul by 8
# d4: upper 32-bits of fraction for mul by 2
# d5: lower 32-bits of fraction for mul by 2
# d6: temp for bit-field extracts
# d7: byte digit formation word;digit count {0,1}
# a0: pointer into memory for packed bcd string formation
#
global binstr
binstr:
movm.l &0xff00,-(%sp) # {%d0-%d7}
#
# A1: Init d7
#
mov.l &1,%d7 # init d7 for second digit
subq.l &1,%d0 # for dbf d0 would have LEN+1 passes
#
# A2. Copy d2:d3 to d4:d5. Start loop.
#
loop:
mov.l %d2,%d4 # copy the fraction before muls
mov.l %d3,%d5 # to d4:d5
#
# A3. Multiply d2:d3 by 8; extract msbs into d1.
#
bfextu %d2{&0:&3},%d1 # copy 3 msbs of d2 into d1
asl.l &3,%d2 # shift d2 left by 3 places
bfextu %d3{&0:&3},%d6 # copy 3 msbs of d3 into d6
asl.l &3,%d3 # shift d3 left by 3 places
or.l %d6,%d2 # or in msbs from d3 into d2
#
# A4. Multiply d4:d5 by 2; add carry out to d1.
#
asl.l &1,%d5 # mul d5 by 2
roxl.l &1,%d4 # mul d4 by 2
swap %d6 # put 0 in d6 lower word
addx.w %d6,%d1 # add in extend from mul by 2
#
# A5. Add mul by 8 to mul by 2. D1 contains the digit formed.
#
add.l %d5,%d3 # add lower 32 bits
nop # ERRATA FIX #13 (Rev. 1.2 6/6/90)
addx.l %d4,%d2 # add with extend upper 32 bits
nop # ERRATA FIX #13 (Rev. 1.2 6/6/90)
addx.w %d6,%d1 # add in extend from add to d1
swap %d6 # with d6 = 0; put 0 in upper word
#
# A6. Test d7 and branch.
#
tst.w %d7 # if zero, store digit & to loop
beq.b first_d # if non-zero, form byte & write
sec_d:
swap %d7 # bring first digit to word d7b
asl.w &4,%d7 # first digit in upper 4 bits d7b
add.w %d1,%d7 # add in ls digit to d7b
mov.b %d7,(%a0)+ # store d7b byte in memory
swap %d7 # put LEN counter in word d7a
clr.w %d7 # set d7a to signal no digits done
dbf.w %d0,loop # do loop some more!
bra.b end_bstr # finished, so exit
first_d:
swap %d7 # put digit word in d7b
mov.w %d1,%d7 # put new digit in d7b
swap %d7 # put LEN counter in word d7a
addq.w &1,%d7 # set d7a to signal first digit done
dbf.w %d0,loop # do loop some more!
swap %d7 # put last digit in string
lsl.w &4,%d7 # move it to upper 4 bits
mov.b %d7,(%a0)+ # store it in memory string
#
# Clean up and return with result in fp0.
#
end_bstr:
movm.l (%sp)+,&0xff # {%d0-%d7}
rts
#########################################################################
# XDEF **************************************************************** #
# facc_in_b(): dmem_read_byte failed #
# facc_in_w(): dmem_read_word failed #
# facc_in_l(): dmem_read_long failed #
# facc_in_d(): dmem_read of dbl prec failed #
# facc_in_x(): dmem_read of ext prec failed #
# #
# facc_out_b(): dmem_write_byte failed #
# facc_out_w(): dmem_write_word failed #
# facc_out_l(): dmem_write_long failed #
# facc_out_d(): dmem_write of dbl prec failed #
# facc_out_x(): dmem_write of ext prec failed #
# #
# XREF **************************************************************** #
# _real_access() - exit through access error handler #
# #
# INPUT *************************************************************** #
# None #
# #
# OUTPUT ************************************************************** #
# None #
# #
# ALGORITHM *********************************************************** #
# Flow jumps here when an FP data fetch call gets an error #
# result. This means the operating system wants an access error frame #
# made out of the current exception stack frame. #
# So, we first call restore() which makes sure that any updated #
# -(an)+ register gets returned to its pre-exception value and then #
# we change the stack to an access error stack frame. #
# #
#########################################################################
facc_in_b:
movq.l &0x1,%d0 # one byte
bsr.w restore # fix An
mov.w &0x0121,EXC_VOFF(%a6) # set FSLW
bra.w facc_finish
facc_in_w:
movq.l &0x2,%d0 # two bytes
bsr.w restore # fix An
mov.w &0x0141,EXC_VOFF(%a6) # set FSLW
bra.b facc_finish
facc_in_l:
movq.l &0x4,%d0 # four bytes
bsr.w restore # fix An
mov.w &0x0101,EXC_VOFF(%a6) # set FSLW
bra.b facc_finish
facc_in_d:
movq.l &0x8,%d0 # eight bytes
bsr.w restore # fix An
mov.w &0x0161,EXC_VOFF(%a6) # set FSLW
bra.b facc_finish
facc_in_x:
movq.l &0xc,%d0 # twelve bytes
bsr.w restore # fix An
mov.w &0x0161,EXC_VOFF(%a6) # set FSLW
bra.b facc_finish
################################################################
facc_out_b:
movq.l &0x1,%d0 # one byte
bsr.w restore # restore An
mov.w &0x00a1,EXC_VOFF(%a6) # set FSLW
bra.b facc_finish
facc_out_w:
movq.l &0x2,%d0 # two bytes
bsr.w restore # restore An
mov.w &0x00c1,EXC_VOFF(%a6) # set FSLW
bra.b facc_finish
facc_out_l:
movq.l &0x4,%d0 # four bytes
bsr.w restore # restore An
mov.w &0x0081,EXC_VOFF(%a6) # set FSLW
bra.b facc_finish
facc_out_d:
movq.l &0x8,%d0 # eight bytes
bsr.w restore # restore An
mov.w &0x00e1,EXC_VOFF(%a6) # set FSLW
bra.b facc_finish
facc_out_x:
mov.l &0xc,%d0 # twelve bytes
bsr.w restore # restore An
mov.w &0x00e1,EXC_VOFF(%a6) # set FSLW
# here's where we actually create the access error frame from the
# current exception stack frame.
facc_finish:
mov.l USER_FPIAR(%a6),EXC_PC(%a6) # store current PC
fmovm.x EXC_FPREGS(%a6),&0xc0 # restore fp0-fp1
fmovm.l USER_FPCR(%a6),%fpcr,%fpsr,%fpiar # restore ctrl regs
movm.l EXC_DREGS(%a6),&0x0303 # restore d0-d1/a0-a1
unlk %a6
mov.l (%sp),-(%sp) # store SR, hi(PC)
mov.l 0x8(%sp),0x4(%sp) # store lo(PC)
mov.l 0xc(%sp),0x8(%sp) # store EA
mov.l &0x00000001,0xc(%sp) # store FSLW
mov.w 0x6(%sp),0xc(%sp) # fix FSLW (size)
mov.w &0x4008,0x6(%sp) # store voff
btst &0x5,(%sp) # supervisor or user mode?
beq.b facc_out2 # user
bset &0x2,0xd(%sp) # set supervisor TM bit
facc_out2:
bra.l _real_access
##################################################################
# if the effective addressing mode was predecrement or postincrement,
# the emulation has already changed its value to the correct post-
# instruction value. but since we're exiting to the access error
# handler, then AN must be returned to its pre-instruction value.
# we do that here.
restore:
mov.b EXC_OPWORD+0x1(%a6),%d1
andi.b &0x38,%d1 # extract opmode
cmpi.b %d1,&0x18 # postinc?
beq.w rest_inc
cmpi.b %d1,&0x20 # predec?
beq.w rest_dec
rts
rest_inc:
mov.b EXC_OPWORD+0x1(%a6),%d1
andi.w &0x0007,%d1 # fetch An
mov.w (tbl_rest_inc.b,%pc,%d1.w*2),%d1
jmp (tbl_rest_inc.b,%pc,%d1.w*1)
tbl_rest_inc:
short ri_a0 - tbl_rest_inc
short ri_a1 - tbl_rest_inc
short ri_a2 - tbl_rest_inc
short ri_a3 - tbl_rest_inc
short ri_a4 - tbl_rest_inc
short ri_a5 - tbl_rest_inc
short ri_a6 - tbl_rest_inc
short ri_a7 - tbl_rest_inc
ri_a0:
sub.l %d0,EXC_DREGS+0x8(%a6) # fix stacked a0
rts
ri_a1:
sub.l %d0,EXC_DREGS+0xc(%a6) # fix stacked a1
rts
ri_a2:
sub.l %d0,%a2 # fix a2
rts
ri_a3:
sub.l %d0,%a3 # fix a3
rts
ri_a4:
sub.l %d0,%a4 # fix a4
rts
ri_a5:
sub.l %d0,%a5 # fix a5
rts
ri_a6:
sub.l %d0,(%a6) # fix stacked a6
rts
# if it's a fmove out instruction, we don't have to fix a7
# because we hadn't changed it yet. if it's an opclass two
# instruction (data moved in) and the exception was in supervisor
# mode, then also also wasn't updated. if it was user mode, then
# restore the correct a7 which is in the USP currently.
ri_a7:
cmpi.b EXC_VOFF(%a6),&0x30 # move in or out?
bne.b ri_a7_done # out
btst &0x5,EXC_SR(%a6) # user or supervisor?
bne.b ri_a7_done # supervisor
movc %usp,%a0 # restore USP
sub.l %d0,%a0
movc %a0,%usp
ri_a7_done:
rts
# need to invert adjustment value if the <ea> was predec
rest_dec:
neg.l %d0
bra.b rest_inc