shared/ecc: Allow pre-composed Private Keys

Add function ecc_make_public_key() which takes a const private_key
and generates a validated public_key to complete the pair.

Non-ephemeral key sets are required to support Bluetooth Mesh.
diff --git a/src/shared/ecc.c b/src/shared/ecc.c
index eb2cc00..15f6b8a 100644
--- a/src/shared/ecc.c
+++ b/src/shared/ecc.c
@@ -856,33 +856,49 @@
 	}
 }
 
-bool ecc_make_key(uint8_t public_key[64], uint8_t private_key[32])
+bool ecc_make_public_key(const uint8_t private_key[32], uint8_t public_key[64])
 {
 	struct ecc_point pk;
 	uint64_t priv[NUM_ECC_DIGITS];
-	unsigned tries = 0;
 
-	do {
-		if (!get_random_number(priv) || (tries++ >= MAX_TRIES))
-			return false;
+	ecc_bytes2native(private_key, priv);
 
-		if (vli_is_zero(priv))
-			continue;
+	if (vli_is_zero(priv))
+		return false;
 
-		/* Make sure the private key is in the range [1, n-1]. */
-		if (vli_cmp(curve_n, priv) != 1)
-			continue;
+	/* Make sure the private key is in the range [1, n-1]. */
+	if (vli_cmp(curve_n, priv) != 1)
+		return false;
 
-		ecc_point_mult(&pk, &curve_g, priv, NULL, vli_num_bits(priv));
-	} while (ecc_point_is_zero(&pk));
+	ecc_point_mult(&pk, &curve_g, priv, NULL, vli_num_bits(priv));
 
-	ecc_native2bytes(priv, private_key);
+	if (ecc_point_is_zero(&pk))
+		return false;
+
 	ecc_native2bytes(pk.x, public_key);
 	ecc_native2bytes(pk.y, &public_key[32]);
 
 	return true;
 }
 
+bool ecc_make_key(uint8_t public_key[64], uint8_t private_key[32])
+{
+	uint64_t priv[NUM_ECC_DIGITS];
+	unsigned int tries = 0;
+	bool result = false;
+
+	for (tries = 0; !result && tries < MAX_TRIES; tries++) {
+		if (!get_random_number(priv))
+			continue;
+
+		ecc_native2bytes(priv, private_key);
+
+		result = ecc_make_public_key(private_key, public_key);
+	}
+
+	return result;
+}
+
 bool ecc_valid_public_key(const uint8_t public_key[64])
 {
 	struct ecc_point pk;
diff --git a/src/shared/ecc.h b/src/shared/ecc.h
index f89f2b0..a88e735 100644
--- a/src/shared/ecc.h
+++ b/src/shared/ecc.h
@@ -27,14 +27,25 @@
 #include <stdbool.h>
 #include <stdint.h>
 
+/* Create a public key from a private key.
+ *
+ * Outputs:
+ *	private_key - Const private key
+ *	public_key  - Will be filled in with the public key.
+ *
+ * Returns true if the public key was generated successfully, false
+ * if an error occurred. The keys are with the LSB first.
+ */
+bool ecc_make_public_key(const uint8_t private_key[32], uint8_t public_key[64]);
+
 /* Create a public/private key pair.
  *
  * Outputs:
  *	public_key  - Will be filled in with the public key.
- *	private_Key - Will be filled in with the private key.
+ *	private_key - Will be filled in with the private key.
  *
  * Returns true if the key pair was generated successfully, false
- * if an error occurred. They keys are with the LSB first.
+ * if an error occurred. The keys are with the LSB first.
  */
 bool ecc_make_key(uint8_t public_key[64], uint8_t private_key[32]);
 
@@ -54,7 +65,7 @@
  *
  * Inputs:
  *	public_key  - The public key of the remote party.
- *	private_Key - Your private key.
+ *	private_key - Your private key.
  *
  * Outputs:
  *	secret - Will be filled in with the shared secret value.