| |
| /* |
| =============================================================================== |
| |
| This C source fragment is part of the SoftFloat IEC/IEEE Floating-point |
| Arithmetic Package, Release 2. |
| |
| Written by John R. Hauser. This work was made possible in part by the |
| International Computer Science Institute, located at Suite 600, 1947 Center |
| Street, Berkeley, California 94704. Funding was partially provided by the |
| National Science Foundation under grant MIP-9311980. The original version |
| of this code was written as part of a project to build a fixed-point vector |
| processor in collaboration with the University of California at Berkeley, |
| overseen by Profs. Nelson Morgan and John Wawrzynek. More information |
| is available through the Web page |
| http://www.jhauser.us/arithmetic/SoftFloat-2b/SoftFloat-source.txt |
| |
| THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort |
| has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT |
| TIMES RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO |
| PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY |
| AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE. |
| |
| Derivative works are acceptable, even for commercial purposes, so long as |
| (1) they include prominent notice that the work is derivative, and (2) they |
| include prominent notice akin to these three paragraphs for those parts of |
| this code that are retained. |
| |
| =============================================================================== |
| */ |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Underflow tininess-detection mode, statically initialized to default value. |
| (The declaration in `softfloat.h' must match the `int8' type here.) |
| ------------------------------------------------------------------------------- |
| */ |
| int8 float_detect_tininess = float_tininess_after_rounding; |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Raises the exceptions specified by `flags'. Floating-point traps can be |
| defined here if desired. It is currently not possible for such a trap to |
| substitute a result value. If traps are not implemented, this routine |
| should be simply `float_exception_flags |= flags;'. |
| |
| ScottB: November 4, 1998 |
| Moved this function out of softfloat-specialize into fpmodule.c. |
| This effectively isolates all the changes required for integrating with the |
| Linux kernel into fpmodule.c. Porting to NetBSD should only require modifying |
| fpmodule.c to integrate with the NetBSD kernel (I hope!). |
| ------------------------------------------------------------------------------- |
| void float_raise( int8 flags ) |
| { |
| float_exception_flags |= flags; |
| } |
| */ |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Internal canonical NaN format. |
| ------------------------------------------------------------------------------- |
| */ |
| typedef struct { |
| flag sign; |
| bits64 high, low; |
| } commonNaNT; |
| |
| /* |
| ------------------------------------------------------------------------------- |
| The pattern for a default generated single-precision NaN. |
| ------------------------------------------------------------------------------- |
| */ |
| #define float32_default_nan 0xFFFFFFFF |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Returns 1 if the single-precision floating-point value `a' is a NaN; |
| otherwise returns 0. |
| ------------------------------------------------------------------------------- |
| */ |
| flag float32_is_nan( float32 a ) |
| { |
| |
| return ( 0xFF000000 < (bits32) ( a<<1 ) ); |
| |
| } |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Returns 1 if the single-precision floating-point value `a' is a signaling |
| NaN; otherwise returns 0. |
| ------------------------------------------------------------------------------- |
| */ |
| flag float32_is_signaling_nan( float32 a ) |
| { |
| |
| return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); |
| |
| } |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Returns the result of converting the single-precision floating-point NaN |
| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid |
| exception is raised. |
| ------------------------------------------------------------------------------- |
| */ |
| static commonNaNT float32ToCommonNaN( float32 a ) |
| { |
| commonNaNT z; |
| |
| if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid ); |
| z.sign = a>>31; |
| z.low = 0; |
| z.high = ( (bits64) a )<<41; |
| return z; |
| |
| } |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Returns the result of converting the canonical NaN `a' to the single- |
| precision floating-point format. |
| ------------------------------------------------------------------------------- |
| */ |
| static float32 commonNaNToFloat32( commonNaNT a ) |
| { |
| |
| return ( ( (bits32) a.sign )<<31 ) | 0x7FC00000 | ( a.high>>41 ); |
| |
| } |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Takes two single-precision floating-point values `a' and `b', one of which |
| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a |
| signaling NaN, the invalid exception is raised. |
| ------------------------------------------------------------------------------- |
| */ |
| static float32 propagateFloat32NaN( float32 a, float32 b ) |
| { |
| flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
| |
| aIsNaN = float32_is_nan( a ); |
| aIsSignalingNaN = float32_is_signaling_nan( a ); |
| bIsNaN = float32_is_nan( b ); |
| bIsSignalingNaN = float32_is_signaling_nan( b ); |
| a |= 0x00400000; |
| b |= 0x00400000; |
| if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); |
| if ( aIsNaN ) { |
| return ( aIsSignalingNaN & bIsNaN ) ? b : a; |
| } |
| else { |
| return b; |
| } |
| |
| } |
| |
| /* |
| ------------------------------------------------------------------------------- |
| The pattern for a default generated double-precision NaN. |
| ------------------------------------------------------------------------------- |
| */ |
| #define float64_default_nan LIT64( 0xFFFFFFFFFFFFFFFF ) |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Returns 1 if the double-precision floating-point value `a' is a NaN; |
| otherwise returns 0. |
| ------------------------------------------------------------------------------- |
| */ |
| flag float64_is_nan( float64 a ) |
| { |
| |
| return ( LIT64( 0xFFE0000000000000 ) < (bits64) ( a<<1 ) ); |
| |
| } |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Returns 1 if the double-precision floating-point value `a' is a signaling |
| NaN; otherwise returns 0. |
| ------------------------------------------------------------------------------- |
| */ |
| flag float64_is_signaling_nan( float64 a ) |
| { |
| |
| return |
| ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) |
| && ( a & LIT64( 0x0007FFFFFFFFFFFF ) ); |
| |
| } |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Returns the result of converting the double-precision floating-point NaN |
| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid |
| exception is raised. |
| ------------------------------------------------------------------------------- |
| */ |
| static commonNaNT float64ToCommonNaN( float64 a ) |
| { |
| commonNaNT z; |
| |
| if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid ); |
| z.sign = a>>63; |
| z.low = 0; |
| z.high = a<<12; |
| return z; |
| |
| } |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Returns the result of converting the canonical NaN `a' to the double- |
| precision floating-point format. |
| ------------------------------------------------------------------------------- |
| */ |
| static float64 commonNaNToFloat64( commonNaNT a ) |
| { |
| |
| return |
| ( ( (bits64) a.sign )<<63 ) |
| | LIT64( 0x7FF8000000000000 ) |
| | ( a.high>>12 ); |
| |
| } |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Takes two double-precision floating-point values `a' and `b', one of which |
| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a |
| signaling NaN, the invalid exception is raised. |
| ------------------------------------------------------------------------------- |
| */ |
| static float64 propagateFloat64NaN( float64 a, float64 b ) |
| { |
| flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
| |
| aIsNaN = float64_is_nan( a ); |
| aIsSignalingNaN = float64_is_signaling_nan( a ); |
| bIsNaN = float64_is_nan( b ); |
| bIsSignalingNaN = float64_is_signaling_nan( b ); |
| a |= LIT64( 0x0008000000000000 ); |
| b |= LIT64( 0x0008000000000000 ); |
| if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); |
| if ( aIsNaN ) { |
| return ( aIsSignalingNaN & bIsNaN ) ? b : a; |
| } |
| else { |
| return b; |
| } |
| |
| } |
| |
| #ifdef FLOATX80 |
| |
| /* |
| ------------------------------------------------------------------------------- |
| The pattern for a default generated extended double-precision NaN. The |
| `high' and `low' values hold the most- and least-significant bits, |
| respectively. |
| ------------------------------------------------------------------------------- |
| */ |
| #define floatx80_default_nan_high 0xFFFF |
| #define floatx80_default_nan_low LIT64( 0xFFFFFFFFFFFFFFFF ) |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Returns 1 if the extended double-precision floating-point value `a' is a |
| NaN; otherwise returns 0. |
| ------------------------------------------------------------------------------- |
| */ |
| flag floatx80_is_nan( floatx80 a ) |
| { |
| |
| return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 ); |
| |
| } |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Returns 1 if the extended double-precision floating-point value `a' is a |
| signaling NaN; otherwise returns 0. |
| ------------------------------------------------------------------------------- |
| */ |
| flag floatx80_is_signaling_nan( floatx80 a ) |
| { |
| //register int lr; |
| bits64 aLow; |
| |
| //__asm__("mov %0, lr" : : "g" (lr)); |
| //fp_printk("floatx80_is_signalling_nan() called from 0x%08x\n",lr); |
| aLow = a.low & ~ LIT64( 0x4000000000000000 ); |
| return |
| ( ( a.high & 0x7FFF ) == 0x7FFF ) |
| && (bits64) ( aLow<<1 ) |
| && ( a.low == aLow ); |
| |
| } |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Returns the result of converting the extended double-precision floating- |
| point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the |
| invalid exception is raised. |
| ------------------------------------------------------------------------------- |
| */ |
| static commonNaNT floatx80ToCommonNaN( floatx80 a ) |
| { |
| commonNaNT z; |
| |
| if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid ); |
| z.sign = a.high>>15; |
| z.low = 0; |
| z.high = a.low<<1; |
| return z; |
| |
| } |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Returns the result of converting the canonical NaN `a' to the extended |
| double-precision floating-point format. |
| ------------------------------------------------------------------------------- |
| */ |
| static floatx80 commonNaNToFloatx80( commonNaNT a ) |
| { |
| floatx80 z; |
| |
| z.low = LIT64( 0xC000000000000000 ) | ( a.high>>1 ); |
| z.high = ( ( (bits16) a.sign )<<15 ) | 0x7FFF; |
| z.__padding = 0; |
| return z; |
| |
| } |
| |
| /* |
| ------------------------------------------------------------------------------- |
| Takes two extended double-precision floating-point values `a' and `b', one |
| of which is a NaN, and returns the appropriate NaN result. If either `a' or |
| `b' is a signaling NaN, the invalid exception is raised. |
| ------------------------------------------------------------------------------- |
| */ |
| static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b ) |
| { |
| flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; |
| |
| aIsNaN = floatx80_is_nan( a ); |
| aIsSignalingNaN = floatx80_is_signaling_nan( a ); |
| bIsNaN = floatx80_is_nan( b ); |
| bIsSignalingNaN = floatx80_is_signaling_nan( b ); |
| a.low |= LIT64( 0xC000000000000000 ); |
| b.low |= LIT64( 0xC000000000000000 ); |
| if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); |
| if ( aIsNaN ) { |
| return ( aIsSignalingNaN & bIsNaN ) ? b : a; |
| } |
| else { |
| return b; |
| } |
| |
| } |
| |
| #endif |