mirror of
https://github.com/Ryujinx/Ryujinx.git
synced 2024-11-09 20:18:35 +00:00
bba9bf97d0
* Update CpuTest.cs * Delete CpuTestSimdCmp.cs Obsolete. * Update CpuTestSimdArithmetic.cs Superseded. * Update CpuTestSimd.cs * Update CpuTestSimdReg.cs * Update AInstEmitSimdArithmetic.cs * Update AInstEmitSimdHelper.cs * Update ASoftFloat.cs * Nit. * Update AOpCodeTable.cs * Update AOptimizations.cs * Update AInstEmitSimdArithmetic.cs * Update ASoftFloat.cs * Update CpuTest.cs * Update CpuTestSimd.cs * Update CpuTestSimdReg.cs * Update AOpCodeTable.cs * Update AInstEmitSimdArithmetic.cs * Update ASoftFloat.cs * Update CpuTestSimdReg.cs * Update AOpCodeTable.cs * Update AInstEmitSimdArithmetic.cs * Update ASoftFloat.cs * Update CpuTestSimd.cs * Update CpuTestSimdReg.cs
1688 lines
53 KiB
C#
1688 lines
53 KiB
C#
using ChocolArm64.State;
|
|
using System;
|
|
using System.Diagnostics;
|
|
using System.Runtime.CompilerServices;
|
|
|
|
namespace ChocolArm64.Instruction
|
|
{
|
|
static class ASoftFloat
|
|
{
|
|
static ASoftFloat()
|
|
{
|
|
RecipEstimateTable = BuildRecipEstimateTable();
|
|
InvSqrtEstimateTable = BuildInvSqrtEstimateTable();
|
|
}
|
|
|
|
private static readonly byte[] RecipEstimateTable;
|
|
private static readonly byte[] InvSqrtEstimateTable;
|
|
|
|
private static byte[] BuildRecipEstimateTable()
|
|
{
|
|
byte[] Table = new byte[256];
|
|
for (ulong index = 0; index < 256; index++)
|
|
{
|
|
ulong a = index | 0x100;
|
|
|
|
a = (a << 1) + 1;
|
|
ulong b = 0x80000 / a;
|
|
b = (b + 1) >> 1;
|
|
|
|
Table[index] = (byte)(b & 0xFF);
|
|
}
|
|
return Table;
|
|
}
|
|
|
|
private static byte[] BuildInvSqrtEstimateTable()
|
|
{
|
|
byte[] Table = new byte[512];
|
|
for (ulong index = 128; index < 512; index++)
|
|
{
|
|
ulong a = index;
|
|
if (a < 256)
|
|
{
|
|
a = (a << 1) + 1;
|
|
}
|
|
else
|
|
{
|
|
a = (a | 1) << 1;
|
|
}
|
|
|
|
ulong b = 256;
|
|
while (a * (b + 1) * (b + 1) < (1ul << 28))
|
|
{
|
|
b++;
|
|
}
|
|
b = (b + 1) >> 1;
|
|
|
|
Table[index] = (byte)(b & 0xFF);
|
|
}
|
|
return Table;
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
public static float RecipEstimate(float x)
|
|
{
|
|
return (float)RecipEstimate((double)x);
|
|
}
|
|
|
|
public static double RecipEstimate(double x)
|
|
{
|
|
ulong x_bits = (ulong)BitConverter.DoubleToInt64Bits(x);
|
|
ulong x_sign = x_bits & 0x8000000000000000;
|
|
ulong x_exp = (x_bits >> 52) & 0x7FF;
|
|
ulong scaled = x_bits & ((1ul << 52) - 1);
|
|
|
|
if (x_exp >= 2045)
|
|
{
|
|
if (x_exp == 0x7ff && scaled != 0)
|
|
{
|
|
// NaN
|
|
return BitConverter.Int64BitsToDouble((long)(x_bits | 0x0008000000000000));
|
|
}
|
|
|
|
// Infinity, or Out of range -> Zero
|
|
return BitConverter.Int64BitsToDouble((long)x_sign);
|
|
}
|
|
|
|
if (x_exp == 0)
|
|
{
|
|
if (scaled == 0)
|
|
{
|
|
// Zero -> Infinity
|
|
return BitConverter.Int64BitsToDouble((long)(x_sign | 0x7FF0000000000000));
|
|
}
|
|
|
|
// Denormal
|
|
if ((scaled & (1ul << 51)) == 0)
|
|
{
|
|
x_exp = ~0ul;
|
|
scaled <<= 2;
|
|
}
|
|
else
|
|
{
|
|
scaled <<= 1;
|
|
}
|
|
}
|
|
|
|
scaled >>= 44;
|
|
scaled &= 0xFF;
|
|
|
|
ulong result_exp = (2045 - x_exp) & 0x7FF;
|
|
ulong estimate = (ulong)RecipEstimateTable[scaled];
|
|
ulong fraction = estimate << 44;
|
|
|
|
if (result_exp == 0)
|
|
{
|
|
fraction >>= 1;
|
|
fraction |= 1ul << 51;
|
|
}
|
|
else if (result_exp == 0x7FF)
|
|
{
|
|
result_exp = 0;
|
|
fraction >>= 2;
|
|
fraction |= 1ul << 50;
|
|
}
|
|
|
|
ulong result = x_sign | (result_exp << 52) | fraction;
|
|
return BitConverter.Int64BitsToDouble((long)result);
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
public static float InvSqrtEstimate(float x)
|
|
{
|
|
return (float)InvSqrtEstimate((double)x);
|
|
}
|
|
|
|
public static double InvSqrtEstimate(double x)
|
|
{
|
|
ulong x_bits = (ulong)BitConverter.DoubleToInt64Bits(x);
|
|
ulong x_sign = x_bits & 0x8000000000000000;
|
|
long x_exp = (long)((x_bits >> 52) & 0x7FF);
|
|
ulong scaled = x_bits & ((1ul << 52) - 1);
|
|
|
|
if (x_exp == 0x7FF && scaled != 0)
|
|
{
|
|
// NaN
|
|
return BitConverter.Int64BitsToDouble((long)(x_bits | 0x0008000000000000));
|
|
}
|
|
|
|
if (x_exp == 0)
|
|
{
|
|
if (scaled == 0)
|
|
{
|
|
// Zero -> Infinity
|
|
return BitConverter.Int64BitsToDouble((long)(x_sign | 0x7FF0000000000000));
|
|
}
|
|
|
|
// Denormal
|
|
while ((scaled & (1 << 51)) == 0)
|
|
{
|
|
scaled <<= 1;
|
|
x_exp--;
|
|
}
|
|
scaled <<= 1;
|
|
}
|
|
|
|
if (x_sign != 0)
|
|
{
|
|
// Negative -> NaN
|
|
return BitConverter.Int64BitsToDouble((long)0x7FF8000000000000);
|
|
}
|
|
|
|
if (x_exp == 0x7ff && scaled == 0)
|
|
{
|
|
// Infinity -> Zero
|
|
return BitConverter.Int64BitsToDouble((long)x_sign);
|
|
}
|
|
|
|
if (((ulong)x_exp & 1) == 1)
|
|
{
|
|
scaled >>= 45;
|
|
scaled &= 0xFF;
|
|
scaled |= 0x80;
|
|
}
|
|
else
|
|
{
|
|
scaled >>= 44;
|
|
scaled &= 0xFF;
|
|
scaled |= 0x100;
|
|
}
|
|
|
|
ulong result_exp = ((ulong)(3068 - x_exp) / 2) & 0x7FF;
|
|
ulong estimate = (ulong)InvSqrtEstimateTable[scaled];
|
|
ulong fraction = estimate << 44;
|
|
|
|
ulong result = x_sign | (result_exp << 52) | fraction;
|
|
return BitConverter.Int64BitsToDouble((long)result);
|
|
}
|
|
|
|
public static float ConvertHalfToSingle(ushort x)
|
|
{
|
|
uint x_sign = (uint)(x >> 15) & 0x0001;
|
|
uint x_exp = (uint)(x >> 10) & 0x001F;
|
|
uint x_mantissa = (uint)x & 0x03FF;
|
|
|
|
if (x_exp == 0 && x_mantissa == 0)
|
|
{
|
|
// Zero
|
|
return BitConverter.Int32BitsToSingle((int)(x_sign << 31));
|
|
}
|
|
|
|
if (x_exp == 0x1F)
|
|
{
|
|
// NaN or Infinity
|
|
return BitConverter.Int32BitsToSingle((int)((x_sign << 31) | 0x7F800000 | (x_mantissa << 13)));
|
|
}
|
|
|
|
int exponent = (int)x_exp - 15;
|
|
|
|
if (x_exp == 0)
|
|
{
|
|
// Denormal
|
|
x_mantissa <<= 1;
|
|
while ((x_mantissa & 0x0400) == 0)
|
|
{
|
|
x_mantissa <<= 1;
|
|
exponent--;
|
|
}
|
|
x_mantissa &= 0x03FF;
|
|
}
|
|
|
|
uint new_exp = (uint)((exponent + 127) & 0xFF) << 23;
|
|
return BitConverter.Int32BitsToSingle((int)((x_sign << 31) | new_exp | (x_mantissa << 13)));
|
|
}
|
|
}
|
|
|
|
static class ASoftFloat_32
|
|
{
|
|
public static float FPAdd(float Value1, float Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPAdd: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
|
|
|
|
float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if (Inf1 && Inf2 && Sign1 == !Sign2)
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
else if ((Inf1 && !Sign1) || (Inf2 && !Sign2))
|
|
{
|
|
Result = FPInfinity(false);
|
|
}
|
|
else if ((Inf1 && Sign1) || (Inf2 && Sign2))
|
|
{
|
|
Result = FPInfinity(true);
|
|
}
|
|
else if (Zero1 && Zero2 && Sign1 == Sign2)
|
|
{
|
|
Result = FPZero(Sign1);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1 + Value2;
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static float FPDiv(float Value1, float Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPDiv: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
|
|
|
|
float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if ((Inf1 && Inf2) || (Zero1 && Zero2))
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
else if (Inf1 || Zero2)
|
|
{
|
|
Result = FPInfinity(Sign1 ^ Sign2);
|
|
|
|
if (!Inf1) FPProcessException(FPExc.DivideByZero, State);
|
|
}
|
|
else if (Zero1 || Inf2)
|
|
{
|
|
Result = FPZero(Sign1 ^ Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1 / Value2;
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static float FPMax(float Value1, float Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPMax: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
|
|
|
|
float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
if (Value1 > Value2)
|
|
{
|
|
if (Type1 == FPType.Infinity)
|
|
{
|
|
Result = FPInfinity(Sign1);
|
|
}
|
|
else if (Type1 == FPType.Zero)
|
|
{
|
|
Result = FPZero(Sign1 && Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (Type2 == FPType.Infinity)
|
|
{
|
|
Result = FPInfinity(Sign2);
|
|
}
|
|
else if (Type2 == FPType.Zero)
|
|
{
|
|
Result = FPZero(Sign1 && Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value2;
|
|
}
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static float FPMaxNum(float Value1, float Value2, AThreadState State)
|
|
{
|
|
Debug.WriteIf(State.Fpcr != 0, "ASoftFloat_32.FPMaxNum: ");
|
|
|
|
Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
|
|
Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
|
|
|
|
if (Type1 == FPType.QNaN && Type2 != FPType.QNaN)
|
|
{
|
|
Value1 = FPInfinity(true);
|
|
}
|
|
else if (Type1 != FPType.QNaN && Type2 == FPType.QNaN)
|
|
{
|
|
Value2 = FPInfinity(true);
|
|
}
|
|
|
|
return FPMax(Value1, Value2, State);
|
|
}
|
|
|
|
public static float FPMin(float Value1, float Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPMin: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
|
|
|
|
float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
if (Value1 < Value2)
|
|
{
|
|
if (Type1 == FPType.Infinity)
|
|
{
|
|
Result = FPInfinity(Sign1);
|
|
}
|
|
else if (Type1 == FPType.Zero)
|
|
{
|
|
Result = FPZero(Sign1 || Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (Type2 == FPType.Infinity)
|
|
{
|
|
Result = FPInfinity(Sign2);
|
|
}
|
|
else if (Type2 == FPType.Zero)
|
|
{
|
|
Result = FPZero(Sign1 || Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value2;
|
|
}
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static float FPMinNum(float Value1, float Value2, AThreadState State)
|
|
{
|
|
Debug.WriteIf(State.Fpcr != 0, "ASoftFloat_32.FPMinNum: ");
|
|
|
|
Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
|
|
Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
|
|
|
|
if (Type1 == FPType.QNaN && Type2 != FPType.QNaN)
|
|
{
|
|
Value1 = FPInfinity(false);
|
|
}
|
|
else if (Type1 != FPType.QNaN && Type2 == FPType.QNaN)
|
|
{
|
|
Value2 = FPInfinity(false);
|
|
}
|
|
|
|
return FPMin(Value1, Value2, State);
|
|
}
|
|
|
|
public static float FPMul(float Value1, float Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPMul: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
|
|
|
|
float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if ((Inf1 && Zero2) || (Zero1 && Inf2))
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
else if (Inf1 || Inf2)
|
|
{
|
|
Result = FPInfinity(Sign1 ^ Sign2);
|
|
}
|
|
else if (Zero1 || Zero2)
|
|
{
|
|
Result = FPZero(Sign1 ^ Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1 * Value2;
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static float FPMulAdd(float ValueA, float Value1, float Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPMulAdd: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
ValueA = ValueA.FPUnpack(out FPType TypeA, out bool SignA, out uint Addend);
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
|
|
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
float Result = FPProcessNaNs3(TypeA, Type1, Type2, Addend, Op1, Op2, State, out bool Done);
|
|
|
|
if (TypeA == FPType.QNaN && ((Inf1 && Zero2) || (Zero1 && Inf2)))
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
|
|
if (!Done)
|
|
{
|
|
bool InfA = TypeA == FPType.Infinity; bool ZeroA = TypeA == FPType.Zero;
|
|
|
|
bool SignP = Sign1 ^ Sign2;
|
|
bool InfP = Inf1 || Inf2;
|
|
bool ZeroP = Zero1 || Zero2;
|
|
|
|
if ((Inf1 && Zero2) || (Zero1 && Inf2) || (InfA && InfP && SignA != SignP))
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
else if ((InfA && !SignA) || (InfP && !SignP))
|
|
{
|
|
Result = FPInfinity(false);
|
|
}
|
|
else if ((InfA && SignA) || (InfP && SignP))
|
|
{
|
|
Result = FPInfinity(true);
|
|
}
|
|
else if (ZeroA && ZeroP && SignA == SignP)
|
|
{
|
|
Result = FPZero(SignA);
|
|
}
|
|
else
|
|
{
|
|
// TODO: When available, use: T MathF.FusedMultiplyAdd(T, T, T);
|
|
// https://github.com/dotnet/corefx/issues/31903
|
|
|
|
Result = ValueA + (Value1 * Value2);
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
public static float FPMulSub(float ValueA, float Value1, float Value2, AThreadState State)
|
|
{
|
|
Debug.WriteIf(State.Fpcr != 0, "ASoftFloat_32.FPMulSub: ");
|
|
|
|
Value1 = Value1.FPNeg();
|
|
|
|
return FPMulAdd(ValueA, Value1, Value2, State);
|
|
}
|
|
|
|
public static float FPMulX(float Value1, float Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPMulX: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
|
|
|
|
float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if ((Inf1 && Zero2) || (Zero1 && Inf2))
|
|
{
|
|
Result = FPTwo(Sign1 ^ Sign2);
|
|
}
|
|
else if (Inf1 || Inf2)
|
|
{
|
|
Result = FPInfinity(Sign1 ^ Sign2);
|
|
}
|
|
else if (Zero1 || Zero2)
|
|
{
|
|
Result = FPZero(Sign1 ^ Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1 * Value2;
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static float FPRecipStepFused(float Value1, float Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPRecipStepFused: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPNeg();
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
|
|
|
|
float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if ((Inf1 && Zero2) || (Zero1 && Inf2))
|
|
{
|
|
Result = FPTwo(false);
|
|
}
|
|
else if (Inf1 || Inf2)
|
|
{
|
|
Result = FPInfinity(Sign1 ^ Sign2);
|
|
}
|
|
else
|
|
{
|
|
// TODO: When available, use: T MathF.FusedMultiplyAdd(T, T, T);
|
|
// https://github.com/dotnet/corefx/issues/31903
|
|
|
|
Result = 2f + (Value1 * Value2);
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static float FPRecpX(float Value, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPRecpX: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value.FPUnpack(out FPType Type, out bool Sign, out uint Op);
|
|
|
|
float Result;
|
|
|
|
if (Type == FPType.SNaN || Type == FPType.QNaN)
|
|
{
|
|
Result = FPProcessNaN(Type, Op, State);
|
|
}
|
|
else
|
|
{
|
|
uint NotExp = (~Op >> 23) & 0xFFu;
|
|
uint MaxExp = 0xFEu;
|
|
|
|
Result = BitConverter.Int32BitsToSingle(
|
|
(int)((Sign ? 1u : 0u) << 31 | (NotExp == 0xFFu ? MaxExp : NotExp) << 23));
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static float FPRSqrtStepFused(float Value1, float Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPRSqrtStepFused: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPNeg();
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
|
|
|
|
float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if ((Inf1 && Zero2) || (Zero1 && Inf2))
|
|
{
|
|
Result = FPOnePointFive(false);
|
|
}
|
|
else if (Inf1 || Inf2)
|
|
{
|
|
Result = FPInfinity(Sign1 ^ Sign2);
|
|
}
|
|
else
|
|
{
|
|
// TODO: When available, use: T MathF.FusedMultiplyAdd(T, T, T);
|
|
// https://github.com/dotnet/corefx/issues/31903
|
|
|
|
Result = (3f + (Value1 * Value2)) / 2f;
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static float FPSqrt(float Value, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPSqrt: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value = Value.FPUnpack(out FPType Type, out bool Sign, out uint Op);
|
|
|
|
float Result;
|
|
|
|
if (Type == FPType.SNaN || Type == FPType.QNaN)
|
|
{
|
|
Result = FPProcessNaN(Type, Op, State);
|
|
}
|
|
else if (Type == FPType.Zero)
|
|
{
|
|
Result = FPZero(Sign);
|
|
}
|
|
else if (Type == FPType.Infinity && !Sign)
|
|
{
|
|
Result = FPInfinity(Sign);
|
|
}
|
|
else if (Sign)
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
else
|
|
{
|
|
Result = MathF.Sqrt(Value);
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static float FPSub(float Value1, float Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPSub: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
|
|
|
|
float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if (Inf1 && Inf2 && Sign1 == Sign2)
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
else if ((Inf1 && !Sign1) || (Inf2 && Sign2))
|
|
{
|
|
Result = FPInfinity(false);
|
|
}
|
|
else if ((Inf1 && Sign1) || (Inf2 && !Sign2))
|
|
{
|
|
Result = FPInfinity(true);
|
|
}
|
|
else if (Zero1 && Zero2 && Sign1 == !Sign2)
|
|
{
|
|
Result = FPZero(Sign1);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1 - Value2;
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
private enum FPType
|
|
{
|
|
Nonzero,
|
|
Zero,
|
|
Infinity,
|
|
QNaN,
|
|
SNaN
|
|
}
|
|
|
|
private enum FPExc
|
|
{
|
|
InvalidOp,
|
|
DivideByZero,
|
|
Overflow,
|
|
Underflow,
|
|
Inexact,
|
|
InputDenorm = 7
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
private static float FPDefaultNaN()
|
|
{
|
|
return -float.NaN;
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
private static float FPInfinity(bool Sign)
|
|
{
|
|
return Sign ? float.NegativeInfinity : float.PositiveInfinity;
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
private static float FPZero(bool Sign)
|
|
{
|
|
return Sign ? -0f : +0f;
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
private static float FPTwo(bool Sign)
|
|
{
|
|
return Sign ? -2f : +2f;
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
private static float FPOnePointFive(bool Sign)
|
|
{
|
|
return Sign ? -1.5f : +1.5f;
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
private static float FPNeg(this float Value)
|
|
{
|
|
return -Value;
|
|
}
|
|
|
|
private static float FPUnpack(this float Value, out FPType Type, out bool Sign, out uint ValueBits)
|
|
{
|
|
ValueBits = (uint)BitConverter.SingleToInt32Bits(Value);
|
|
|
|
Sign = (~ValueBits & 0x80000000u) == 0u;
|
|
|
|
if ((ValueBits & 0x7F800000u) == 0u)
|
|
{
|
|
if ((ValueBits & 0x007FFFFFu) == 0u)
|
|
{
|
|
Type = FPType.Zero;
|
|
}
|
|
else
|
|
{
|
|
Type = FPType.Nonzero;
|
|
}
|
|
}
|
|
else if ((~ValueBits & 0x7F800000u) == 0u)
|
|
{
|
|
if ((ValueBits & 0x007FFFFFu) == 0u)
|
|
{
|
|
Type = FPType.Infinity;
|
|
}
|
|
else
|
|
{
|
|
Type = (~ValueBits & 0x00400000u) == 0u
|
|
? FPType.QNaN
|
|
: FPType.SNaN;
|
|
|
|
return FPZero(Sign);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
Type = FPType.Nonzero;
|
|
}
|
|
|
|
return Value;
|
|
}
|
|
|
|
private static float FPProcessNaNs(
|
|
FPType Type1,
|
|
FPType Type2,
|
|
uint Op1,
|
|
uint Op2,
|
|
AThreadState State,
|
|
out bool Done)
|
|
{
|
|
Done = true;
|
|
|
|
if (Type1 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(Type1, Op1, State);
|
|
}
|
|
else if (Type2 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(Type2, Op2, State);
|
|
}
|
|
else if (Type1 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(Type1, Op1, State);
|
|
}
|
|
else if (Type2 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(Type2, Op2, State);
|
|
}
|
|
|
|
Done = false;
|
|
|
|
return FPZero(false);
|
|
}
|
|
|
|
private static float FPProcessNaNs3(
|
|
FPType Type1,
|
|
FPType Type2,
|
|
FPType Type3,
|
|
uint Op1,
|
|
uint Op2,
|
|
uint Op3,
|
|
AThreadState State,
|
|
out bool Done)
|
|
{
|
|
Done = true;
|
|
|
|
if (Type1 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(Type1, Op1, State);
|
|
}
|
|
else if (Type2 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(Type2, Op2, State);
|
|
}
|
|
else if (Type3 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(Type3, Op3, State);
|
|
}
|
|
else if (Type1 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(Type1, Op1, State);
|
|
}
|
|
else if (Type2 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(Type2, Op2, State);
|
|
}
|
|
else if (Type3 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(Type3, Op3, State);
|
|
}
|
|
|
|
Done = false;
|
|
|
|
return FPZero(false);
|
|
}
|
|
|
|
private static float FPProcessNaN(FPType Type, uint Op, AThreadState State)
|
|
{
|
|
const int DNBit = 25; // Default NaN mode control bit.
|
|
|
|
if (Type == FPType.SNaN)
|
|
{
|
|
Op |= 1u << 22;
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
|
|
if ((State.Fpcr & (1 << DNBit)) != 0)
|
|
{
|
|
return FPDefaultNaN();
|
|
}
|
|
|
|
return BitConverter.Int32BitsToSingle((int)Op);
|
|
}
|
|
|
|
private static void FPProcessException(FPExc Exc, AThreadState State)
|
|
{
|
|
int Enable = (int)Exc + 8;
|
|
|
|
if ((State.Fpcr & (1 << Enable)) != 0)
|
|
{
|
|
throw new NotImplementedException("floating-point trap handling");
|
|
}
|
|
else
|
|
{
|
|
State.Fpsr |= 1 << (int)Exc;
|
|
}
|
|
}
|
|
}
|
|
|
|
static class ASoftFloat_64
|
|
{
|
|
public static double FPAdd(double Value1, double Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPAdd: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
|
|
|
|
double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if (Inf1 && Inf2 && Sign1 == !Sign2)
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
else if ((Inf1 && !Sign1) || (Inf2 && !Sign2))
|
|
{
|
|
Result = FPInfinity(false);
|
|
}
|
|
else if ((Inf1 && Sign1) || (Inf2 && Sign2))
|
|
{
|
|
Result = FPInfinity(true);
|
|
}
|
|
else if (Zero1 && Zero2 && Sign1 == Sign2)
|
|
{
|
|
Result = FPZero(Sign1);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1 + Value2;
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static double FPDiv(double Value1, double Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPDiv: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
|
|
|
|
double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if ((Inf1 && Inf2) || (Zero1 && Zero2))
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
else if (Inf1 || Zero2)
|
|
{
|
|
Result = FPInfinity(Sign1 ^ Sign2);
|
|
|
|
if (!Inf1) FPProcessException(FPExc.DivideByZero, State);
|
|
}
|
|
else if (Zero1 || Inf2)
|
|
{
|
|
Result = FPZero(Sign1 ^ Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1 / Value2;
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static double FPMax(double Value1, double Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPMax: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
|
|
|
|
double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
if (Value1 > Value2)
|
|
{
|
|
if (Type1 == FPType.Infinity)
|
|
{
|
|
Result = FPInfinity(Sign1);
|
|
}
|
|
else if (Type1 == FPType.Zero)
|
|
{
|
|
Result = FPZero(Sign1 && Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (Type2 == FPType.Infinity)
|
|
{
|
|
Result = FPInfinity(Sign2);
|
|
}
|
|
else if (Type2 == FPType.Zero)
|
|
{
|
|
Result = FPZero(Sign1 && Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value2;
|
|
}
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static double FPMaxNum(double Value1, double Value2, AThreadState State)
|
|
{
|
|
Debug.WriteIf(State.Fpcr != 0, "ASoftFloat_64.FPMaxNum: ");
|
|
|
|
Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
|
|
Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
|
|
|
|
if (Type1 == FPType.QNaN && Type2 != FPType.QNaN)
|
|
{
|
|
Value1 = FPInfinity(true);
|
|
}
|
|
else if (Type1 != FPType.QNaN && Type2 == FPType.QNaN)
|
|
{
|
|
Value2 = FPInfinity(true);
|
|
}
|
|
|
|
return FPMax(Value1, Value2, State);
|
|
}
|
|
|
|
public static double FPMin(double Value1, double Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPMin: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
|
|
|
|
double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
if (Value1 < Value2)
|
|
{
|
|
if (Type1 == FPType.Infinity)
|
|
{
|
|
Result = FPInfinity(Sign1);
|
|
}
|
|
else if (Type1 == FPType.Zero)
|
|
{
|
|
Result = FPZero(Sign1 || Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (Type2 == FPType.Infinity)
|
|
{
|
|
Result = FPInfinity(Sign2);
|
|
}
|
|
else if (Type2 == FPType.Zero)
|
|
{
|
|
Result = FPZero(Sign1 || Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value2;
|
|
}
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static double FPMinNum(double Value1, double Value2, AThreadState State)
|
|
{
|
|
Debug.WriteIf(State.Fpcr != 0, "ASoftFloat_64.FPMinNum: ");
|
|
|
|
Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
|
|
Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
|
|
|
|
if (Type1 == FPType.QNaN && Type2 != FPType.QNaN)
|
|
{
|
|
Value1 = FPInfinity(false);
|
|
}
|
|
else if (Type1 != FPType.QNaN && Type2 == FPType.QNaN)
|
|
{
|
|
Value2 = FPInfinity(false);
|
|
}
|
|
|
|
return FPMin(Value1, Value2, State);
|
|
}
|
|
|
|
public static double FPMul(double Value1, double Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPMul: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
|
|
|
|
double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if ((Inf1 && Zero2) || (Zero1 && Inf2))
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
else if (Inf1 || Inf2)
|
|
{
|
|
Result = FPInfinity(Sign1 ^ Sign2);
|
|
}
|
|
else if (Zero1 || Zero2)
|
|
{
|
|
Result = FPZero(Sign1 ^ Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1 * Value2;
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static double FPMulAdd(double ValueA, double Value1, double Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPMulAdd: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
ValueA = ValueA.FPUnpack(out FPType TypeA, out bool SignA, out ulong Addend);
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
|
|
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
double Result = FPProcessNaNs3(TypeA, Type1, Type2, Addend, Op1, Op2, State, out bool Done);
|
|
|
|
if (TypeA == FPType.QNaN && ((Inf1 && Zero2) || (Zero1 && Inf2)))
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
|
|
if (!Done)
|
|
{
|
|
bool InfA = TypeA == FPType.Infinity; bool ZeroA = TypeA == FPType.Zero;
|
|
|
|
bool SignP = Sign1 ^ Sign2;
|
|
bool InfP = Inf1 || Inf2;
|
|
bool ZeroP = Zero1 || Zero2;
|
|
|
|
if ((Inf1 && Zero2) || (Zero1 && Inf2) || (InfA && InfP && SignA != SignP))
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
else if ((InfA && !SignA) || (InfP && !SignP))
|
|
{
|
|
Result = FPInfinity(false);
|
|
}
|
|
else if ((InfA && SignA) || (InfP && SignP))
|
|
{
|
|
Result = FPInfinity(true);
|
|
}
|
|
else if (ZeroA && ZeroP && SignA == SignP)
|
|
{
|
|
Result = FPZero(SignA);
|
|
}
|
|
else
|
|
{
|
|
// TODO: When available, use: T Math.FusedMultiplyAdd(T, T, T);
|
|
// https://github.com/dotnet/corefx/issues/31903
|
|
|
|
Result = ValueA + (Value1 * Value2);
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
public static double FPMulSub(double ValueA, double Value1, double Value2, AThreadState State)
|
|
{
|
|
Debug.WriteIf(State.Fpcr != 0, "ASoftFloat_64.FPMulSub: ");
|
|
|
|
Value1 = Value1.FPNeg();
|
|
|
|
return FPMulAdd(ValueA, Value1, Value2, State);
|
|
}
|
|
|
|
public static double FPMulX(double Value1, double Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPMulX: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
|
|
|
|
double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if ((Inf1 && Zero2) || (Zero1 && Inf2))
|
|
{
|
|
Result = FPTwo(Sign1 ^ Sign2);
|
|
}
|
|
else if (Inf1 || Inf2)
|
|
{
|
|
Result = FPInfinity(Sign1 ^ Sign2);
|
|
}
|
|
else if (Zero1 || Zero2)
|
|
{
|
|
Result = FPZero(Sign1 ^ Sign2);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1 * Value2;
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static double FPRecipStepFused(double Value1, double Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPRecipStepFused: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPNeg();
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
|
|
|
|
double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if ((Inf1 && Zero2) || (Zero1 && Inf2))
|
|
{
|
|
Result = FPTwo(false);
|
|
}
|
|
else if (Inf1 || Inf2)
|
|
{
|
|
Result = FPInfinity(Sign1 ^ Sign2);
|
|
}
|
|
else
|
|
{
|
|
// TODO: When available, use: T Math.FusedMultiplyAdd(T, T, T);
|
|
// https://github.com/dotnet/corefx/issues/31903
|
|
|
|
Result = 2d + (Value1 * Value2);
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static double FPRecpX(double Value, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPRecpX: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value.FPUnpack(out FPType Type, out bool Sign, out ulong Op);
|
|
|
|
double Result;
|
|
|
|
if (Type == FPType.SNaN || Type == FPType.QNaN)
|
|
{
|
|
Result = FPProcessNaN(Type, Op, State);
|
|
}
|
|
else
|
|
{
|
|
ulong NotExp = (~Op >> 52) & 0x7FFul;
|
|
ulong MaxExp = 0x7FEul;
|
|
|
|
Result = BitConverter.Int64BitsToDouble(
|
|
(long)((Sign ? 1ul : 0ul) << 63 | (NotExp == 0x7FFul ? MaxExp : NotExp) << 52));
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static double FPRSqrtStepFused(double Value1, double Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPRSqrtStepFused: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPNeg();
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
|
|
|
|
double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if ((Inf1 && Zero2) || (Zero1 && Inf2))
|
|
{
|
|
Result = FPOnePointFive(false);
|
|
}
|
|
else if (Inf1 || Inf2)
|
|
{
|
|
Result = FPInfinity(Sign1 ^ Sign2);
|
|
}
|
|
else
|
|
{
|
|
// TODO: When available, use: T Math.FusedMultiplyAdd(T, T, T);
|
|
// https://github.com/dotnet/corefx/issues/31903
|
|
|
|
Result = (3d + (Value1 * Value2)) / 2d;
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static double FPSqrt(double Value, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPSqrt: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value = Value.FPUnpack(out FPType Type, out bool Sign, out ulong Op);
|
|
|
|
double Result;
|
|
|
|
if (Type == FPType.SNaN || Type == FPType.QNaN)
|
|
{
|
|
Result = FPProcessNaN(Type, Op, State);
|
|
}
|
|
else if (Type == FPType.Zero)
|
|
{
|
|
Result = FPZero(Sign);
|
|
}
|
|
else if (Type == FPType.Infinity && !Sign)
|
|
{
|
|
Result = FPInfinity(Sign);
|
|
}
|
|
else if (Sign)
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
else
|
|
{
|
|
Result = Math.Sqrt(Value);
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
public static double FPSub(double Value1, double Value2, AThreadState State)
|
|
{
|
|
Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPSub: State.Fpcr = 0x{State.Fpcr:X8}");
|
|
|
|
Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
|
|
Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
|
|
|
|
double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
|
|
|
|
if (!Done)
|
|
{
|
|
bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
|
|
bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
|
|
|
|
if (Inf1 && Inf2 && Sign1 == Sign2)
|
|
{
|
|
Result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
else if ((Inf1 && !Sign1) || (Inf2 && Sign2))
|
|
{
|
|
Result = FPInfinity(false);
|
|
}
|
|
else if ((Inf1 && Sign1) || (Inf2 && !Sign2))
|
|
{
|
|
Result = FPInfinity(true);
|
|
}
|
|
else if (Zero1 && Zero2 && Sign1 == !Sign2)
|
|
{
|
|
Result = FPZero(Sign1);
|
|
}
|
|
else
|
|
{
|
|
Result = Value1 - Value2;
|
|
}
|
|
}
|
|
|
|
return Result;
|
|
}
|
|
|
|
private enum FPType
|
|
{
|
|
Nonzero,
|
|
Zero,
|
|
Infinity,
|
|
QNaN,
|
|
SNaN
|
|
}
|
|
|
|
private enum FPExc
|
|
{
|
|
InvalidOp,
|
|
DivideByZero,
|
|
Overflow,
|
|
Underflow,
|
|
Inexact,
|
|
InputDenorm = 7
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
private static double FPDefaultNaN()
|
|
{
|
|
return -double.NaN;
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
private static double FPInfinity(bool Sign)
|
|
{
|
|
return Sign ? double.NegativeInfinity : double.PositiveInfinity;
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
private static double FPZero(bool Sign)
|
|
{
|
|
return Sign ? -0d : +0d;
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
private static double FPTwo(bool Sign)
|
|
{
|
|
return Sign ? -2d : +2d;
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
private static double FPOnePointFive(bool Sign)
|
|
{
|
|
return Sign ? -1.5d : +1.5d;
|
|
}
|
|
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
private static double FPNeg(this double Value)
|
|
{
|
|
return -Value;
|
|
}
|
|
|
|
private static double FPUnpack(this double Value, out FPType Type, out bool Sign, out ulong ValueBits)
|
|
{
|
|
ValueBits = (ulong)BitConverter.DoubleToInt64Bits(Value);
|
|
|
|
Sign = (~ValueBits & 0x8000000000000000ul) == 0ul;
|
|
|
|
if ((ValueBits & 0x7FF0000000000000ul) == 0ul)
|
|
{
|
|
if ((ValueBits & 0x000FFFFFFFFFFFFFul) == 0ul)
|
|
{
|
|
Type = FPType.Zero;
|
|
}
|
|
else
|
|
{
|
|
Type = FPType.Nonzero;
|
|
}
|
|
}
|
|
else if ((~ValueBits & 0x7FF0000000000000ul) == 0ul)
|
|
{
|
|
if ((ValueBits & 0x000FFFFFFFFFFFFFul) == 0ul)
|
|
{
|
|
Type = FPType.Infinity;
|
|
}
|
|
else
|
|
{
|
|
Type = (~ValueBits & 0x0008000000000000ul) == 0ul
|
|
? FPType.QNaN
|
|
: FPType.SNaN;
|
|
|
|
return FPZero(Sign);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
Type = FPType.Nonzero;
|
|
}
|
|
|
|
return Value;
|
|
}
|
|
|
|
private static double FPProcessNaNs(
|
|
FPType Type1,
|
|
FPType Type2,
|
|
ulong Op1,
|
|
ulong Op2,
|
|
AThreadState State,
|
|
out bool Done)
|
|
{
|
|
Done = true;
|
|
|
|
if (Type1 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(Type1, Op1, State);
|
|
}
|
|
else if (Type2 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(Type2, Op2, State);
|
|
}
|
|
else if (Type1 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(Type1, Op1, State);
|
|
}
|
|
else if (Type2 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(Type2, Op2, State);
|
|
}
|
|
|
|
Done = false;
|
|
|
|
return FPZero(false);
|
|
}
|
|
|
|
private static double FPProcessNaNs3(
|
|
FPType Type1,
|
|
FPType Type2,
|
|
FPType Type3,
|
|
ulong Op1,
|
|
ulong Op2,
|
|
ulong Op3,
|
|
AThreadState State,
|
|
out bool Done)
|
|
{
|
|
Done = true;
|
|
|
|
if (Type1 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(Type1, Op1, State);
|
|
}
|
|
else if (Type2 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(Type2, Op2, State);
|
|
}
|
|
else if (Type3 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(Type3, Op3, State);
|
|
}
|
|
else if (Type1 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(Type1, Op1, State);
|
|
}
|
|
else if (Type2 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(Type2, Op2, State);
|
|
}
|
|
else if (Type3 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(Type3, Op3, State);
|
|
}
|
|
|
|
Done = false;
|
|
|
|
return FPZero(false);
|
|
}
|
|
|
|
private static double FPProcessNaN(FPType Type, ulong Op, AThreadState State)
|
|
{
|
|
const int DNBit = 25; // Default NaN mode control bit.
|
|
|
|
if (Type == FPType.SNaN)
|
|
{
|
|
Op |= 1ul << 51;
|
|
|
|
FPProcessException(FPExc.InvalidOp, State);
|
|
}
|
|
|
|
if ((State.Fpcr & (1 << DNBit)) != 0)
|
|
{
|
|
return FPDefaultNaN();
|
|
}
|
|
|
|
return BitConverter.Int64BitsToDouble((long)Op);
|
|
}
|
|
|
|
private static void FPProcessException(FPExc Exc, AThreadState State)
|
|
{
|
|
int Enable = (int)Exc + 8;
|
|
|
|
if ((State.Fpcr & (1 << Enable)) != 0)
|
|
{
|
|
throw new NotImplementedException("floating-point trap handling");
|
|
}
|
|
else
|
|
{
|
|
State.Fpsr |= 1 << (int)Exc;
|
|
}
|
|
}
|
|
}
|
|
}
|