Optimized randomx_reciprocal

src/assembly_generator_x86.cpp

@@ -445,7 +445,7 @@ namespace randomx {
 	}
 
 	void AssemblyGeneratorX86::h_IMUL_RCP(Instruction& instr, int i) {
-		uint64_t divisor = instr.getImm32();
+		const uint32_t divisor = instr.getImm32();
 		if (!isZeroOrPowerOf2(divisor)) {
 			registerUsage[instr.dst] = i;
 			asmCode << "\tmov rax, " << randomx_reciprocal(divisor) << std::endl;

src/bytecode_machine.cpp

@@ -243,7 +243,7 @@ namespace randomx {
 		}
 
 		if (opcode < ceil_IMUL_RCP) {
-			uint64_t divisor = instr.getImm32();
+			const uint32_t divisor = instr.getImm32();
 			if (!isZeroOrPowerOf2(divisor)) {
 				auto dst = instr.dst % RegistersCount;
 				ibc.type = InstructionType::IMUL_R;

src/jit_compiler_a64.cpp

@@ -686,7 +686,7 @@ void JitCompilerA64::h_ISMULH_M(Instruction& instr, uint32_t& codePos)
 
 void JitCompilerA64::h_IMUL_RCP(Instruction& instr, uint32_t& codePos)
 {
-	const uint64_t divisor = instr.getImm32();
+	const uint32_t divisor = instr.getImm32();
 	if (isZeroOrPowerOf2(divisor))
 		return;
 
@@ -695,22 +695,11 @@ void JitCompilerA64::h_IMUL_RCP(Instruction& instr, uint32_t& codePos)
 	constexpr uint32_t tmp_reg = 20;
 	const uint32_t dst = IntRegMap[instr.dst];
 
-	constexpr uint64_t N = 1ULL << 63;
-	const uint64_t q = N / divisor;
-	const uint64_t r = N % divisor;
-#ifdef __GNUC__
-	const uint64_t shift = 64 - __builtin_clzll(divisor);
-#else
-	uint64_t shift = 32;
-	for (uint64_t k = 1U << 31; (k & divisor) == 0; k >>= 1)
-		--shift;
-#endif
-
 	const uint32_t literal_id = (ImulRcpLiteralsEnd - literalPos) / sizeof(uint64_t);
-
 	literalPos -= sizeof(uint64_t);
-	const uint64_t randomx_reciprocal = (q << shift) + ((r << shift) / divisor);
-	memcpy(code + literalPos, &randomx_reciprocal, sizeof(randomx_reciprocal));
+
+	const uint64_t reciprocal = randomx_reciprocal_fast(divisor);
+	memcpy(code + literalPos, &reciprocal, sizeof(reciprocal));
 
 	if (literal_id < 12)
 	{

src/jit_compiler_rv64.cpp

@@ -776,7 +776,7 @@ namespace randomx {
 	}
 
 	static void v1_IMUL_RCP(HANDLER_ARGS) {
-		uint64_t divisor = isn.getImm32();
+		const uint32_t divisor = isn.getImm32();
 		if (!isZeroOrPowerOf2(divisor)) {
 			state.registerUsage[isn.dst] = i;
 			if (state.rcpCount < 4) {

src/jit_compiler_x86.cpp

@@ -618,7 +618,7 @@ namespace randomx {
 	}
 
 	void JitCompilerX86::h_IMUL_RCP(Instruction& instr, int i) {
-		uint64_t divisor = instr.getImm32();
+		const uint32_t divisor = instr.getImm32();
 		if (!isZeroOrPowerOf2(divisor)) {
 			registerUsage[instr.dst] = i;
 			emit(MOV_RAX_I);

src/reciprocal.c

@@ -44,36 +44,28 @@ OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 	ret
 
 */
-uint64_t randomx_reciprocal(uint64_t divisor) {
+uint64_t randomx_reciprocal(uint32_t divisor) {
 
 	assert(divisor != 0);
 
 	const uint64_t p2exp63 = 1ULL << 63;
+	const uint64_t q = p2exp63 / divisor;
+	const uint64_t r = p2exp63 % divisor;
+
+#ifdef __GNUC__
+	const uint32_t shift = 64 - __builtin_clzll(divisor);
+#else
+	uint32_t shift = 32;
+	for (uint32_t k = 1U << 31; (k & divisor) == 0; k >>= 1)
+		--shift;
+#endif
 
-	uint64_t quotient = p2exp63 / divisor, remainder = p2exp63 % divisor;
-
-	unsigned bsr = 0; //highest set bit in divisor
-
-	for (uint64_t bit = divisor; bit > 0; bit >>= 1)
-		bsr++;
-
-	for (unsigned shift = 0; shift < bsr; shift++) {
-		if (remainder >= divisor - remainder) {
-			quotient = quotient * 2 + 1;
-			remainder = remainder * 2 - divisor;
-		}
-		else {
-			quotient = quotient * 2;
-			remainder = remainder * 2;
-		}
-	}
-
-	return quotient;
+	return (q << shift) + ((r << shift) / divisor);
 }
 
 #if !RANDOMX_HAVE_FAST_RECIPROCAL
 
-uint64_t randomx_reciprocal_fast(uint64_t divisor) {
+uint64_t randomx_reciprocal_fast(uint32_t divisor) {
 	return randomx_reciprocal(divisor);
 }
 

src/reciprocal.h

@@ -40,8 +40,8 @@ OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 extern "C" {
 #endif
 
-uint64_t randomx_reciprocal(uint64_t);
-uint64_t randomx_reciprocal_fast(uint64_t);
+uint64_t randomx_reciprocal(uint32_t);
+uint64_t randomx_reciprocal_fast(uint32_t);
 
 #if defined(__cplusplus)
 }

src/tests/perf-simulation.cpp

@@ -477,7 +477,7 @@ int analyze(randomx::Program& p) {
 		}
 
 		if (opcode < randomx::ceil_IMUL_RCP) {
-			uint64_t divisor = instr.getImm32();
+			const uint32_t divisor = instr.getImm32();
 			if (!randomx::isZeroOrPowerOf2(divisor)) {
 				instr.dst = instr.dst % randomx::RegistersCount;
 				instr.opcode |= DST_INT;