forked from Mirror/Ryujinx
b1b6f294f2
* Implement TEQ and MOV (Imm16)
* Initial work on A32 instructions + SVC. No tests yet, hangs in rtld.
* Implement CLZ, fix BFI and BFC
Now stops on SIMD initialization.
* Exclusive access instructions, fix to mul, system instructions.
Now gets to a break after SignalProcessWideKey64.
* Better impl of UBFX, add UDIV and SDIV
Now boots way further - now stuck on VMOV instruction.
* Many more instructions, start on SIMD and testing framework.
* Fix build issues
* svc: Rework 32 bit codepath
Fixing once and for all argument ordering issues.
* Fix 32 bits stacktrace
* hle debug: Add 32 bits dynamic section parsing
* Fix highCq mode, add many tests, fix some instruction bugs
Still suffers from critical malloc failure 😩
* Fix incorrect opcode decoders and a few more instructions.
* Add a few instructions and fix others. re-disable highCq for now.
Disabled the svc memory clear since i'm not sure about it.
* Fix build
* Fix typo in ordered/exclusive stores.
* Implement some more instructions, fix others.
Uxtab16/Sxtab16 are untested.
* Begin impl of pairwise, some other instructions.
* Add a few more instructions, a quick hack to fix svcs for now.
* Add tests and fix issues with VTRN, VZIP, VUZP
* Add a few more instructions, fix Vmul_1 encoding.
* Fix way too many instruction bugs, add tests for some of the more important ones.
* Fix HighCq, enable FastFP paths for some floating point instructions
(not entirely sure why these were disabled, so important to note this
commit exists)
Branching has been removed in A32 shifts until I figure out if it's
worth it
* Cleanup Part 1
There should be no functional change between these next few commits.
Should is the key word. (except for removing break handler)
* Implement 32 bits syscalls
Co-authored-by: riperiperi <rhy3756547@hotmail.com>
Implement all 32 bits counterparts of the 64 bits syscalls we currently
have.
* Refactor part 2: Move index/subindex logic to Operand
May have inadvertently fixed one (1) bug
* Add FlushProcessDataCache32
* Address jd's comments
* Remove 16 bit encodings from OpCodeTable
Still need to catch some edge cases (operands that use the "F" flag) and
make Q encodings with non-even indexes undefined.
* Correct Fpscr handling for FP vector slow paths
WIP
* Add StandardFPSCRValue behaviour for all Arithmetic instructions
* Add StandardFPSCRValue behaviour to compare instructions.
* Force passing of fpcr to FPProcessException and FPUnpack.
Reduces potential for code error significantly
* OpCode cleanup
* Remove urgency from DMB comment in MRRC
DMB is currently a no-op via the instruction, so it should likely still
be a no-op here.
* Test Cleanup
* Fix FPDefaultNaN on Ryzen CPUs
* Improve some tests, fix some shift instructions, add slow path for Vadd
* Fix Typo
* More test cleanup
* Flip order of Fx and index, to indicate that the operand's is the "base"
* Remove Simd32 register type, use Int32 and Int64 for scalars like A64 does.
* Reintroduce alignment to DecoderHelper (removed by accident)
* One more realign as reading diffs is hard
* Use I32 registers in A32 (part 2)
Swap default integer register type based on current execution mode.
* FPSCR flags as Registers (part 1)
Still need to change NativeContext and ExecutionContext to allow
getting/setting with the flag values.
* Use I32 registers in A32 (part 1)
* FPSCR flags as registers (part 2)
Only CMP flags are on the registers right now. It could be useful to use
more of the space in non-fast-float when implementing A32 flags
accurately in the fast path.
* Address Feedback
* Correct FP->Int behaviour (should saturate)
* Make branches made by writing to PC eligible for Rejit
Greatly improves performance in most games.
* Remove unused branching for Vtbl
* RejitRequest as a class rather than a tuple
Makes a lot more sense than storing tuples on a dictionary.
* Add VMOVN, VSHR (imm), VSHRN (imm) and related tests
* Re-order InstEmitSystem32
Alphabetical sorting.
* Address Feedback
Feedback from Ac_K, remove and sort usings.
* Address Feedback 2
* Address Feedback from LDj3SNuD
Opcode table reordered to have alphabetical sorting within groups,
Vmaxnm and Vminnm have split names to be less ambiguous, SoftFloat nits,
Test nits and Test simplification with ValueSource.
* Add Debug Asserts to A32 helpers
Mainly to prevent the shift ones from being used on I64 operands, as
they expect I32 input for most operations (eg. carry flag setting), and
expect I32 input for shift and boolean amounts. Most other helper
functions don't take Operands, throw on out of range values, and take
specific types of OpCode, so didn't need any asserts.
* Use ConstF rather than creating an operand.
(useful for pooling in future)
* Move exclusive load to helper, reference call flag rather than literal 1.
* Address LDj feedback (minus table flatten)
one final look before it's all gone. the world is so beautiful.
* Flatten OpCodeTable
oh no
* Address more table ordering
* Call Flag as int on A32
Co-authored-by: Natalie C. <cyuubiapps@gmail.com>
Co-authored-by: Thog <thog@protonmail.com>
3207 lines
101 KiB
C#
3207 lines
101 KiB
C#
using ARMeilleure.State;
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using System;
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using System.Diagnostics;
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namespace ARMeilleure.Instructions
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{
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static class SoftFloat
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{
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static SoftFloat()
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{
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RecipEstimateTable = BuildRecipEstimateTable();
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RecipSqrtEstimateTable = BuildRecipSqrtEstimateTable();
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}
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internal static readonly byte[] RecipEstimateTable;
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internal static readonly byte[] RecipSqrtEstimateTable;
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private static byte[] BuildRecipEstimateTable()
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{
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byte[] tbl = new byte[256];
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for (int idx = 0; idx < 256; idx++)
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{
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uint src = (uint)idx + 256u;
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Debug.Assert(256u <= src && src < 512u);
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src = (src << 1) + 1u;
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uint aux = (1u << 19) / src;
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uint dst = (aux + 1u) >> 1;
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Debug.Assert(256u <= dst && dst < 512u);
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tbl[idx] = (byte)(dst - 256u);
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}
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return tbl;
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}
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private static byte[] BuildRecipSqrtEstimateTable()
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{
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byte[] tbl = new byte[384];
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for (int idx = 0; idx < 384; idx++)
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{
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uint src = (uint)idx + 128u;
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Debug.Assert(128u <= src && src < 512u);
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if (src < 256u)
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{
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src = (src << 1) + 1u;
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}
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else
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{
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src = (src >> 1) << 1;
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src = (src + 1u) << 1;
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}
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uint aux = 512u;
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while (src * (aux + 1u) * (aux + 1u) < (1u << 28))
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{
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aux = aux + 1u;
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}
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uint dst = (aux + 1u) >> 1;
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Debug.Assert(256u <= dst && dst < 512u);
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tbl[idx] = (byte)(dst - 256u);
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}
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return tbl;
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}
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}
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static class SoftFloat16_32
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{
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public static float FPConvert(ushort valueBits)
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{
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ExecutionContext context = NativeInterface.GetContext();
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double real = valueBits.FPUnpackCv(out FPType type, out bool sign, context);
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float result;
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if (type == FPType.SNaN || type == FPType.QNaN)
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{
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if ((context.Fpcr & FPCR.Dn) != 0)
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{
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result = FPDefaultNaN();
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}
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else
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{
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result = FPConvertNaN(valueBits);
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}
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if (type == FPType.SNaN)
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{
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FPProcessException(FPException.InvalidOp, context);
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}
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}
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else if (type == FPType.Infinity)
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{
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result = FPInfinity(sign);
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}
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else if (type == FPType.Zero)
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{
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result = FPZero(sign);
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}
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else
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{
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result = FPRoundCv(real, context);
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}
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return result;
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}
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private static float FPDefaultNaN()
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{
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return BitConverter.Int32BitsToSingle(0x7fc00000);
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}
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private static float FPInfinity(bool sign)
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{
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return sign ? float.NegativeInfinity : float.PositiveInfinity;
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}
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private static float FPZero(bool sign)
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{
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return sign ? -0f : +0f;
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}
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private static float FPMaxNormal(bool sign)
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{
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return sign ? float.MinValue : float.MaxValue;
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}
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private static double FPUnpackCv(
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this ushort valueBits,
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out FPType type,
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out bool sign,
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ExecutionContext context)
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{
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sign = (~(uint)valueBits & 0x8000u) == 0u;
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uint exp16 = ((uint)valueBits & 0x7C00u) >> 10;
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uint frac16 = (uint)valueBits & 0x03FFu;
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double real;
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if (exp16 == 0u)
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{
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if (frac16 == 0u)
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{
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type = FPType.Zero;
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real = 0d;
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}
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else
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{
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type = FPType.Nonzero; // Subnormal.
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real = Math.Pow(2d, -14) * ((double)frac16 * Math.Pow(2d, -10));
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}
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}
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else if (exp16 == 0x1Fu && (context.Fpcr & FPCR.Ahp) == 0)
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{
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if (frac16 == 0u)
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{
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type = FPType.Infinity;
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real = Math.Pow(2d, 1000);
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}
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else
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{
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type = (~frac16 & 0x0200u) == 0u ? FPType.QNaN : FPType.SNaN;
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real = 0d;
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}
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}
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else
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{
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type = FPType.Nonzero; // Normal.
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real = Math.Pow(2d, (int)exp16 - 15) * (1d + (double)frac16 * Math.Pow(2d, -10));
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}
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return sign ? -real : real;
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}
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private static float FPRoundCv(double real, ExecutionContext context)
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{
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const int minimumExp = -126;
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const int e = 8;
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const int f = 23;
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bool sign;
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double mantissa;
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if (real < 0d)
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{
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sign = true;
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mantissa = -real;
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}
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else
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{
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sign = false;
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mantissa = real;
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}
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int exponent = 0;
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while (mantissa < 1d)
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{
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mantissa *= 2d;
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exponent--;
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}
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while (mantissa >= 2d)
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{
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mantissa /= 2d;
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exponent++;
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}
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if ((context.Fpcr & FPCR.Fz) != 0 && exponent < minimumExp)
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{
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context.Fpsr |= FPSR.Ufc;
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return FPZero(sign);
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}
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uint biasedExp = (uint)Math.Max(exponent - minimumExp + 1, 0);
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if (biasedExp == 0u)
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{
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mantissa /= Math.Pow(2d, minimumExp - exponent);
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}
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uint intMant = (uint)Math.Floor(mantissa * Math.Pow(2d, f));
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double error = mantissa * Math.Pow(2d, f) - (double)intMant;
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if (biasedExp == 0u && (error != 0d || (context.Fpcr & FPCR.Ufe) != 0))
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{
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FPProcessException(FPException.Underflow, context);
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}
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bool overflowToInf;
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bool roundUp;
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switch (context.Fpcr.GetRoundingMode())
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{
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default:
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case FPRoundingMode.ToNearest:
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roundUp = (error > 0.5d || (error == 0.5d && (intMant & 1u) == 1u));
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overflowToInf = true;
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break;
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case FPRoundingMode.TowardsPlusInfinity:
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roundUp = (error != 0d && !sign);
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overflowToInf = !sign;
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break;
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case FPRoundingMode.TowardsMinusInfinity:
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roundUp = (error != 0d && sign);
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overflowToInf = sign;
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break;
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case FPRoundingMode.TowardsZero:
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roundUp = false;
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overflowToInf = false;
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break;
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}
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if (roundUp)
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{
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intMant++;
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if (intMant == 1u << f)
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{
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biasedExp = 1u;
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}
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if (intMant == 1u << (f + 1))
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{
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biasedExp++;
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intMant >>= 1;
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}
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}
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float result;
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if (biasedExp >= (1u << e) - 1u)
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{
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result = overflowToInf ? FPInfinity(sign) : FPMaxNormal(sign);
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FPProcessException(FPException.Overflow, context);
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error = 1d;
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}
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else
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{
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result = BitConverter.Int32BitsToSingle(
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(int)((sign ? 1u : 0u) << 31 | (biasedExp & 0xFFu) << 23 | (intMant & 0x007FFFFFu)));
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}
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if (error != 0d)
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{
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FPProcessException(FPException.Inexact, context);
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}
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return result;
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}
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private static float FPConvertNaN(ushort valueBits)
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{
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return BitConverter.Int32BitsToSingle(
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(int)(((uint)valueBits & 0x8000u) << 16 | 0x7FC00000u | ((uint)valueBits & 0x01FFu) << 13));
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}
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private static void FPProcessException(FPException exc, ExecutionContext context)
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{
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int enable = (int)exc + 8;
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if ((context.Fpcr & (FPCR)(1 << enable)) != 0)
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{
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throw new NotImplementedException("Floating-point trap handling.");
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}
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else
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{
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context.Fpsr |= (FPSR)(1 << (int)exc);
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}
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}
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}
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static class SoftFloat32_16
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{
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public static ushort FPConvert(float value)
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{
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ExecutionContext context = NativeInterface.GetContext();
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double real = value.FPUnpackCv(out FPType type, out bool sign, out uint valueBits, context);
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bool altHp = (context.Fpcr & FPCR.Ahp) != 0;
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ushort resultBits;
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if (type == FPType.SNaN || type == FPType.QNaN)
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{
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if (altHp)
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{
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resultBits = FPZero(sign);
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}
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else if ((context.Fpcr & FPCR.Dn) != 0)
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{
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resultBits = FPDefaultNaN();
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}
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else
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{
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resultBits = FPConvertNaN(valueBits);
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}
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if (type == FPType.SNaN || altHp)
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{
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FPProcessException(FPException.InvalidOp, context);
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}
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}
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else if (type == FPType.Infinity)
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{
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if (altHp)
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{
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resultBits = (ushort)((sign ? 1u : 0u) << 15 | 0x7FFFu);
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FPProcessException(FPException.InvalidOp, context);
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}
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else
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{
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resultBits = FPInfinity(sign);
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}
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}
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else if (type == FPType.Zero)
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{
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resultBits = FPZero(sign);
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}
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else
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{
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resultBits = FPRoundCv(real, context);
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}
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return resultBits;
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}
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private static ushort FPDefaultNaN()
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{
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return (ushort)0x7E00u;
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}
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private static ushort FPInfinity(bool sign)
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{
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return sign ? (ushort)0xFC00u : (ushort)0x7C00u;
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}
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private static ushort FPZero(bool sign)
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{
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return sign ? (ushort)0x8000u : (ushort)0x0000u;
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}
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private static ushort FPMaxNormal(bool sign)
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{
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return sign ? (ushort)0xFBFFu : (ushort)0x7BFFu;
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}
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private static double FPUnpackCv(
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this float value,
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out FPType type,
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out bool sign,
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out uint valueBits,
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ExecutionContext context)
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{
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valueBits = (uint)BitConverter.SingleToInt32Bits(value);
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sign = (~valueBits & 0x80000000u) == 0u;
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uint exp32 = (valueBits & 0x7F800000u) >> 23;
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uint frac32 = valueBits & 0x007FFFFFu;
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double real;
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|
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if (exp32 == 0u)
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{
|
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if (frac32 == 0u || (context.Fpcr & FPCR.Fz) != 0)
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{
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type = FPType.Zero;
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real = 0d;
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|
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if (frac32 != 0u)
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{
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FPProcessException(FPException.InputDenorm, context);
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}
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}
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else
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{
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type = FPType.Nonzero; // Subnormal.
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real = Math.Pow(2d, -126) * ((double)frac32 * Math.Pow(2d, -23));
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}
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}
|
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else if (exp32 == 0xFFu)
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{
|
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if (frac32 == 0u)
|
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{
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type = FPType.Infinity;
|
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real = Math.Pow(2d, 1000);
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}
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else
|
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{
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type = (~frac32 & 0x00400000u) == 0u ? FPType.QNaN : FPType.SNaN;
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real = 0d;
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}
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}
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else
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{
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type = FPType.Nonzero; // Normal.
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real = Math.Pow(2d, (int)exp32 - 127) * (1d + (double)frac32 * Math.Pow(2d, -23));
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}
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return sign ? -real : real;
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}
|
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|
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private static ushort FPRoundCv(double real, ExecutionContext context)
|
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{
|
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const int minimumExp = -14;
|
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|
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const int e = 5;
|
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const int f = 10;
|
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|
|
bool sign;
|
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double mantissa;
|
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|
|
if (real < 0d)
|
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{
|
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sign = true;
|
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mantissa = -real;
|
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}
|
|
else
|
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{
|
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sign = false;
|
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mantissa = real;
|
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}
|
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|
|
int exponent = 0;
|
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|
|
while (mantissa < 1d)
|
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{
|
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mantissa *= 2d;
|
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exponent--;
|
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}
|
|
|
|
while (mantissa >= 2d)
|
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{
|
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mantissa /= 2d;
|
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exponent++;
|
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}
|
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|
|
uint biasedExp = (uint)Math.Max(exponent - minimumExp + 1, 0);
|
|
|
|
if (biasedExp == 0u)
|
|
{
|
|
mantissa /= Math.Pow(2d, minimumExp - exponent);
|
|
}
|
|
|
|
uint intMant = (uint)Math.Floor(mantissa * Math.Pow(2d, f));
|
|
double error = mantissa * Math.Pow(2d, f) - (double)intMant;
|
|
|
|
if (biasedExp == 0u && (error != 0d || (context.Fpcr & FPCR.Ufe) != 0))
|
|
{
|
|
FPProcessException(FPException.Underflow, context);
|
|
}
|
|
|
|
bool overflowToInf;
|
|
bool roundUp;
|
|
|
|
switch (context.Fpcr.GetRoundingMode())
|
|
{
|
|
default:
|
|
case FPRoundingMode.ToNearest:
|
|
roundUp = (error > 0.5d || (error == 0.5d && (intMant & 1u) == 1u));
|
|
overflowToInf = true;
|
|
break;
|
|
|
|
case FPRoundingMode.TowardsPlusInfinity:
|
|
roundUp = (error != 0d && !sign);
|
|
overflowToInf = !sign;
|
|
break;
|
|
|
|
case FPRoundingMode.TowardsMinusInfinity:
|
|
roundUp = (error != 0d && sign);
|
|
overflowToInf = sign;
|
|
break;
|
|
|
|
case FPRoundingMode.TowardsZero:
|
|
roundUp = false;
|
|
overflowToInf = false;
|
|
break;
|
|
}
|
|
|
|
if (roundUp)
|
|
{
|
|
intMant++;
|
|
|
|
if (intMant == 1u << f)
|
|
{
|
|
biasedExp = 1u;
|
|
}
|
|
|
|
if (intMant == 1u << (f + 1))
|
|
{
|
|
biasedExp++;
|
|
intMant >>= 1;
|
|
}
|
|
}
|
|
|
|
ushort resultBits;
|
|
|
|
if ((context.Fpcr & FPCR.Ahp) == 0)
|
|
{
|
|
if (biasedExp >= (1u << e) - 1u)
|
|
{
|
|
resultBits = overflowToInf ? FPInfinity(sign) : FPMaxNormal(sign);
|
|
|
|
FPProcessException(FPException.Overflow, context);
|
|
|
|
error = 1d;
|
|
}
|
|
else
|
|
{
|
|
resultBits = (ushort)((sign ? 1u : 0u) << 15 | (biasedExp & 0x1Fu) << 10 | (intMant & 0x03FFu));
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (biasedExp >= 1u << e)
|
|
{
|
|
resultBits = (ushort)((sign ? 1u : 0u) << 15 | 0x7FFFu);
|
|
|
|
FPProcessException(FPException.InvalidOp, context);
|
|
|
|
error = 0d;
|
|
}
|
|
else
|
|
{
|
|
resultBits = (ushort)((sign ? 1u : 0u) << 15 | (biasedExp & 0x1Fu) << 10 | (intMant & 0x03FFu));
|
|
}
|
|
}
|
|
|
|
if (error != 0d)
|
|
{
|
|
FPProcessException(FPException.Inexact, context);
|
|
}
|
|
|
|
return resultBits;
|
|
}
|
|
|
|
private static ushort FPConvertNaN(uint valueBits)
|
|
{
|
|
return (ushort)((valueBits & 0x80000000u) >> 16 | 0x7E00u | (valueBits & 0x003FE000u) >> 13);
|
|
}
|
|
|
|
private static void FPProcessException(FPException exc, ExecutionContext context)
|
|
{
|
|
int enable = (int)exc + 8;
|
|
|
|
if ((context.Fpcr & (FPCR)(1 << enable)) != 0)
|
|
{
|
|
throw new NotImplementedException("Floating-point trap handling.");
|
|
}
|
|
else
|
|
{
|
|
context.Fpsr |= (FPSR)(1 << (int)exc);
|
|
}
|
|
}
|
|
}
|
|
|
|
static class SoftFloat32
|
|
{
|
|
public static float FPAdd(float value1, float value2)
|
|
{
|
|
return FPAddFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static float FPAddFpscr(float value1, float value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out uint op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out uint op2, context, fpcr);
|
|
|
|
float result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
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;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && float.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0f);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static int FPCompare(float value1, float value2, bool signalNaNs)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out _, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out _, context, fpcr);
|
|
|
|
int result;
|
|
|
|
if (type1 == FPType.SNaN || type1 == FPType.QNaN || type2 == FPType.SNaN || type2 == FPType.QNaN)
|
|
{
|
|
result = 0b0011;
|
|
|
|
if (type1 == FPType.SNaN || type2 == FPType.SNaN || signalNaNs)
|
|
{
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (value1 == value2)
|
|
{
|
|
result = 0b0110;
|
|
}
|
|
else if (value1 < value2)
|
|
{
|
|
result = 0b1000;
|
|
}
|
|
else
|
|
{
|
|
result = 0b0010;
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPCompareEQ(float value1, float value2)
|
|
{
|
|
return FPCompareEQFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static float FPCompareEQFpscr(float value1, float value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out _, out _, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out _, out _, context, fpcr);
|
|
|
|
float result;
|
|
|
|
if (type1 == FPType.SNaN || type1 == FPType.QNaN || type2 == FPType.SNaN || type2 == FPType.QNaN)
|
|
{
|
|
result = ZerosOrOnes(false);
|
|
|
|
if (type1 == FPType.SNaN || type2 == FPType.SNaN)
|
|
{
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
result = ZerosOrOnes(value1 == value2);
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPCompareGE(float value1, float value2)
|
|
{
|
|
return FPCompareGEFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static float FPCompareGEFpscr(float value1, float value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out _, out _, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out _, out _, context, fpcr);
|
|
|
|
float result;
|
|
|
|
if (type1 == FPType.SNaN || type1 == FPType.QNaN || type2 == FPType.SNaN || type2 == FPType.QNaN)
|
|
{
|
|
result = ZerosOrOnes(false);
|
|
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
else
|
|
{
|
|
result = ZerosOrOnes(value1 >= value2);
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPCompareGT(float value1, float value2)
|
|
{
|
|
return FPCompareGTFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static float FPCompareGTFpscr(float value1, float value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out _, out _, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out _, out _, context, fpcr);
|
|
|
|
float result;
|
|
|
|
if (type1 == FPType.SNaN || type1 == FPType.QNaN || type2 == FPType.SNaN || type2 == FPType.QNaN)
|
|
{
|
|
result = ZerosOrOnes(false);
|
|
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
else
|
|
{
|
|
result = ZerosOrOnes(value1 > value2);
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPCompareLE(float value1, float value2)
|
|
{
|
|
return FPCompareGE(value2, value1);
|
|
}
|
|
|
|
public static float FPCompareLT(float value1, float value2)
|
|
{
|
|
return FPCompareGT(value2, value1);
|
|
}
|
|
|
|
public static float FPCompareLEFpscr(float value1, float value2, bool standardFpscr)
|
|
{
|
|
return FPCompareGEFpscr(value2, value1, standardFpscr);
|
|
}
|
|
|
|
public static float FPCompareLTFpscr(float value1, float value2, bool standardFpscr)
|
|
{
|
|
return FPCompareGTFpscr(value2, value1, standardFpscr);
|
|
}
|
|
|
|
public static float FPDiv(float value1, float value2)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out uint op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out uint op2, context, fpcr);
|
|
|
|
float result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
else if (inf1 || zero2)
|
|
{
|
|
result = FPInfinity(sign1 ^ sign2);
|
|
|
|
if (!inf1)
|
|
{
|
|
FPProcessException(FPException.DivideByZero, context, fpcr);
|
|
}
|
|
}
|
|
else if (zero1 || inf2)
|
|
{
|
|
result = FPZero(sign1 ^ sign2);
|
|
}
|
|
else
|
|
{
|
|
result = value1 / value2;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && float.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0f);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPMax(float value1, float value2)
|
|
{
|
|
return FPMaxFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static float FPMaxFpscr(float value1, float value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out uint op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out uint op2, context, fpcr);
|
|
|
|
float result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && float.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0f);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPMaxNum(float value1, float value2)
|
|
{
|
|
return FPMaxNumFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static float FPMaxNumFpscr(float value1, float value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1.FPUnpack(out FPType type1, out _, out _, context, fpcr);
|
|
value2.FPUnpack(out FPType type2, out _, out _, context, fpcr);
|
|
|
|
if (type1 == FPType.QNaN && type2 != FPType.QNaN)
|
|
{
|
|
value1 = FPInfinity(true);
|
|
}
|
|
else if (type1 != FPType.QNaN && type2 == FPType.QNaN)
|
|
{
|
|
value2 = FPInfinity(true);
|
|
}
|
|
|
|
return FPMaxFpscr(value1, value2, standardFpscr);
|
|
}
|
|
|
|
public static float FPMin(float value1, float value2)
|
|
{
|
|
return FPMinFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static float FPMinFpscr(float value1, float value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out uint op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out uint op2, context, fpcr);
|
|
|
|
float result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && float.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0f);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPMinNum(float value1, float value2)
|
|
{
|
|
return FPMinNumFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static float FPMinNumFpscr(float value1, float value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1.FPUnpack(out FPType type1, out _, out _, context, fpcr);
|
|
value2.FPUnpack(out FPType type2, out _, out _, context, fpcr);
|
|
|
|
if (type1 == FPType.QNaN && type2 != FPType.QNaN)
|
|
{
|
|
value1 = FPInfinity(false);
|
|
}
|
|
else if (type1 != FPType.QNaN && type2 == FPType.QNaN)
|
|
{
|
|
value2 = FPInfinity(false);
|
|
}
|
|
|
|
return FPMinFpscr(value1, value2, standardFpscr);
|
|
}
|
|
|
|
public static float FPMul(float value1, float value2)
|
|
{
|
|
return FPMulFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static float FPMulFpscr(float value1, float value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out uint op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out uint op2, context, fpcr);
|
|
|
|
float result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
else if (inf1 || inf2)
|
|
{
|
|
result = FPInfinity(sign1 ^ sign2);
|
|
}
|
|
else if (zero1 || zero2)
|
|
{
|
|
result = FPZero(sign1 ^ sign2);
|
|
}
|
|
else
|
|
{
|
|
result = value1 * value2;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && float.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0f);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPMulAdd(float valueA, float value1, float value2)
|
|
{
|
|
return FPMulAddFpscr(valueA, value1, value2, false);
|
|
}
|
|
|
|
public static float FPMulAddFpscr(float valueA, float value1, float value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
valueA = valueA.FPUnpack(out FPType typeA, out bool signA, out uint addend, context, fpcr);
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out uint op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out uint op2, context, fpcr);
|
|
|
|
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, out bool done, context, fpcr);
|
|
|
|
if (typeA == FPType.QNaN && ((inf1 && zero2) || (zero1 && inf2)))
|
|
{
|
|
result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
|
|
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(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
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
|
|
{
|
|
result = MathF.FusedMultiplyAdd(value1, value2, valueA);
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && float.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0f);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPMulSub(float valueA, float value1, float value2)
|
|
{
|
|
value1 = value1.FPNeg();
|
|
|
|
return FPMulAdd(valueA, value1, value2);
|
|
}
|
|
|
|
public static float FPMulSubFpscr(float valueA, float value1, float value2, bool standardFpscr)
|
|
{
|
|
value1 = value1.FPNeg();
|
|
|
|
return FPMulAddFpscr(valueA, value1, value2, standardFpscr);
|
|
}
|
|
|
|
public static float FPMulX(float value1, float value2)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out uint op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out uint op2, context, fpcr);
|
|
|
|
float result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && float.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0f);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPNegMulAdd(float valueA, float value1, float value2)
|
|
{
|
|
valueA = valueA.FPNeg();
|
|
value1 = value1.FPNeg();
|
|
|
|
return FPMulAdd(valueA, value1, value2);
|
|
}
|
|
|
|
public static float FPNegMulSub(float valueA, float value1, float value2)
|
|
{
|
|
valueA = valueA.FPNeg();
|
|
|
|
return FPMulAdd(valueA, value1, value2);
|
|
}
|
|
|
|
public static float FPRecipEstimate(float value)
|
|
{
|
|
return FPRecipEstimateFpscr(value, false);
|
|
}
|
|
|
|
public static float FPRecipEstimateFpscr(float value, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value.FPUnpack(out FPType type, out bool sign, out uint op, context, fpcr);
|
|
|
|
float result;
|
|
|
|
if (type == FPType.SNaN || type == FPType.QNaN)
|
|
{
|
|
result = FPProcessNaN(type, op, context, fpcr);
|
|
}
|
|
else if (type == FPType.Infinity)
|
|
{
|
|
result = FPZero(sign);
|
|
}
|
|
else if (type == FPType.Zero)
|
|
{
|
|
result = FPInfinity(sign);
|
|
|
|
FPProcessException(FPException.DivideByZero, context, fpcr);
|
|
}
|
|
else if (MathF.Abs(value) < MathF.Pow(2f, -128))
|
|
{
|
|
bool overflowToInf;
|
|
|
|
switch (fpcr.GetRoundingMode())
|
|
{
|
|
default:
|
|
case FPRoundingMode.ToNearest: overflowToInf = true; break;
|
|
case FPRoundingMode.TowardsPlusInfinity: overflowToInf = !sign; break;
|
|
case FPRoundingMode.TowardsMinusInfinity: overflowToInf = sign; break;
|
|
case FPRoundingMode.TowardsZero: overflowToInf = false; break;
|
|
}
|
|
|
|
result = overflowToInf ? FPInfinity(sign) : FPMaxNormal(sign);
|
|
|
|
FPProcessException(FPException.Overflow, context, fpcr);
|
|
FPProcessException(FPException.Inexact, context, fpcr);
|
|
}
|
|
else if ((fpcr & FPCR.Fz) != 0 && (MathF.Abs(value) >= MathF.Pow(2f, 126)))
|
|
{
|
|
result = FPZero(sign);
|
|
|
|
context.Fpsr |= FPSR.Ufc;
|
|
}
|
|
else
|
|
{
|
|
ulong fraction = (ulong)(op & 0x007FFFFFu) << 29;
|
|
uint exp = (op & 0x7F800000u) >> 23;
|
|
|
|
if (exp == 0u)
|
|
{
|
|
if ((fraction & 0x0008000000000000ul) == 0ul)
|
|
{
|
|
fraction = (fraction & 0x0003FFFFFFFFFFFFul) << 2;
|
|
exp -= 1u;
|
|
}
|
|
else
|
|
{
|
|
fraction = (fraction & 0x0007FFFFFFFFFFFFul) << 1;
|
|
}
|
|
}
|
|
|
|
uint scaled = (uint)(((fraction & 0x000FF00000000000ul) | 0x0010000000000000ul) >> 44);
|
|
|
|
uint resultExp = 253u - exp;
|
|
|
|
uint estimate = (uint)SoftFloat.RecipEstimateTable[scaled - 256u] + 256u;
|
|
|
|
fraction = (ulong)(estimate & 0xFFu) << 44;
|
|
|
|
if (resultExp == 0u)
|
|
{
|
|
fraction = ((fraction & 0x000FFFFFFFFFFFFEul) | 0x0010000000000000ul) >> 1;
|
|
}
|
|
else if (resultExp + 1u == 0u)
|
|
{
|
|
fraction = ((fraction & 0x000FFFFFFFFFFFFCul) | 0x0010000000000000ul) >> 2;
|
|
resultExp = 0u;
|
|
}
|
|
|
|
result = BitConverter.Int32BitsToSingle(
|
|
(int)((sign ? 1u : 0u) << 31 | (resultExp & 0xFFu) << 23 | (uint)(fraction >> 29) & 0x007FFFFFu));
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPRecipStep(float value1, float value2)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.StandardFpcrValue;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out uint op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out uint op2, context, fpcr);
|
|
|
|
float result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
if (!done)
|
|
{
|
|
bool inf1 = type1 == FPType.Infinity; bool zero1 = type1 == FPType.Zero;
|
|
bool inf2 = type2 == FPType.Infinity; bool zero2 = type2 == FPType.Zero;
|
|
|
|
float product;
|
|
|
|
if ((inf1 && zero2) || (zero1 && inf2))
|
|
{
|
|
product = FPZero(false);
|
|
}
|
|
else
|
|
{
|
|
product = FPMulFpscr(value1, value2, true);
|
|
}
|
|
|
|
result = FPSubFpscr(FPTwo(false), product, true);
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPRecipStepFused(float value1, float value2)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value1 = value1.FPNeg();
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out uint op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out uint op2, context, fpcr);
|
|
|
|
float result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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
|
|
{
|
|
result = MathF.FusedMultiplyAdd(value1, value2, 2f);
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && float.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0f);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPRecpX(float value)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value.FPUnpack(out FPType type, out bool sign, out uint op, context, fpcr);
|
|
|
|
float result;
|
|
|
|
if (type == FPType.SNaN || type == FPType.QNaN)
|
|
{
|
|
result = FPProcessNaN(type, op, context, fpcr);
|
|
}
|
|
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 FPRSqrtEstimate(float value)
|
|
{
|
|
return FPRSqrtEstimateFpscr(value, false);
|
|
}
|
|
|
|
public static float FPRSqrtEstimateFpscr(float value, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value.FPUnpack(out FPType type, out bool sign, out uint op, context, fpcr);
|
|
|
|
float result;
|
|
|
|
if (type == FPType.SNaN || type == FPType.QNaN)
|
|
{
|
|
result = FPProcessNaN(type, op, context, fpcr);
|
|
}
|
|
else if (type == FPType.Zero)
|
|
{
|
|
result = FPInfinity(sign);
|
|
|
|
FPProcessException(FPException.DivideByZero, context, fpcr);
|
|
}
|
|
else if (sign)
|
|
{
|
|
result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
else if (type == FPType.Infinity)
|
|
{
|
|
result = FPZero(false);
|
|
}
|
|
else
|
|
{
|
|
ulong fraction = (ulong)(op & 0x007FFFFFu) << 29;
|
|
uint exp = (op & 0x7F800000u) >> 23;
|
|
|
|
if (exp == 0u)
|
|
{
|
|
while ((fraction & 0x0008000000000000ul) == 0ul)
|
|
{
|
|
fraction = (fraction & 0x0007FFFFFFFFFFFFul) << 1;
|
|
exp -= 1u;
|
|
}
|
|
|
|
fraction = (fraction & 0x0007FFFFFFFFFFFFul) << 1;
|
|
}
|
|
|
|
uint scaled;
|
|
|
|
if ((exp & 1u) == 0u)
|
|
{
|
|
scaled = (uint)(((fraction & 0x000FF00000000000ul) | 0x0010000000000000ul) >> 44);
|
|
}
|
|
else
|
|
{
|
|
scaled = (uint)(((fraction & 0x000FE00000000000ul) | 0x0010000000000000ul) >> 45);
|
|
}
|
|
|
|
uint resultExp = (380u - exp) >> 1;
|
|
|
|
uint estimate = (uint)SoftFloat.RecipSqrtEstimateTable[scaled - 128u] + 256u;
|
|
|
|
result = BitConverter.Int32BitsToSingle((int)((resultExp & 0xFFu) << 23 | (estimate & 0xFFu) << 15));
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPHalvedSub(float value1, float value2, ExecutionContext context, FPCR fpcr)
|
|
{
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out uint op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out uint op2, context, fpcr);
|
|
|
|
float result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
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) / 2.0f;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && float.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0f);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPRSqrtStep(float value1, float value2)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.StandardFpcrValue;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out uint op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out uint op2, context, fpcr);
|
|
|
|
float result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
if (!done)
|
|
{
|
|
bool inf1 = type1 == FPType.Infinity; bool zero1 = type1 == FPType.Zero;
|
|
bool inf2 = type2 == FPType.Infinity; bool zero2 = type2 == FPType.Zero;
|
|
|
|
float product;
|
|
|
|
if ((inf1 && zero2) || (zero1 && inf2))
|
|
{
|
|
product = FPZero(false);
|
|
}
|
|
else
|
|
{
|
|
product = FPMulFpscr(value1, value2, true);
|
|
}
|
|
|
|
result = FPHalvedSub(FPThree(false), product, context, fpcr);
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPRSqrtStepFused(float value1, float value2)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value1 = value1.FPNeg();
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out uint op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out uint op2, context, fpcr);
|
|
|
|
float result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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
|
|
{
|
|
result = MathF.FusedMultiplyAdd(value1, value2, 3f) / 2f;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && float.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0f);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPSqrt(float value)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value = value.FPUnpack(out FPType type, out bool sign, out uint op, context, fpcr);
|
|
|
|
float result;
|
|
|
|
if (type == FPType.SNaN || type == FPType.QNaN)
|
|
{
|
|
result = FPProcessNaN(type, op, context, fpcr);
|
|
}
|
|
else if (type == FPType.Zero)
|
|
{
|
|
result = FPZero(sign);
|
|
}
|
|
else if (type == FPType.Infinity && !sign)
|
|
{
|
|
result = FPInfinity(sign);
|
|
}
|
|
else if (sign)
|
|
{
|
|
result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
else
|
|
{
|
|
result = MathF.Sqrt(value);
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && float.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0f);
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static float FPSub(float value1, float value2)
|
|
{
|
|
return FPSubFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static float FPSubFpscr(float value1, float value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out uint op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out uint op2, context, fpcr);
|
|
|
|
float result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
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;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && float.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0f);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
private static float FPDefaultNaN()
|
|
{
|
|
return BitConverter.Int32BitsToSingle(0x7fc00000);
|
|
}
|
|
|
|
private static float FPInfinity(bool sign)
|
|
{
|
|
return sign ? float.NegativeInfinity : float.PositiveInfinity;
|
|
}
|
|
|
|
private static float FPZero(bool sign)
|
|
{
|
|
return sign ? -0f : +0f;
|
|
}
|
|
|
|
private static float FPMaxNormal(bool sign)
|
|
{
|
|
return sign ? float.MinValue : float.MaxValue;
|
|
}
|
|
|
|
private static float FPTwo(bool sign)
|
|
{
|
|
return sign ? -2f : +2f;
|
|
}
|
|
|
|
private static float FPThree(bool sign)
|
|
{
|
|
return sign ? -3f : +3f;
|
|
}
|
|
|
|
private static float FPOnePointFive(bool sign)
|
|
{
|
|
return sign ? -1.5f : +1.5f;
|
|
}
|
|
|
|
private static float FPNeg(this float value)
|
|
{
|
|
return -value;
|
|
}
|
|
|
|
private static float ZerosOrOnes(bool ones)
|
|
{
|
|
return BitConverter.Int32BitsToSingle(ones ? -1 : 0);
|
|
}
|
|
|
|
private static float FPUnpack(
|
|
this float value,
|
|
out FPType type,
|
|
out bool sign,
|
|
out uint valueBits,
|
|
ExecutionContext context,
|
|
FPCR fpcr)
|
|
{
|
|
valueBits = (uint)BitConverter.SingleToInt32Bits(value);
|
|
|
|
sign = (~valueBits & 0x80000000u) == 0u;
|
|
|
|
if ((valueBits & 0x7F800000u) == 0u)
|
|
{
|
|
if ((valueBits & 0x007FFFFFu) == 0u || (fpcr & FPCR.Fz) != 0)
|
|
{
|
|
type = FPType.Zero;
|
|
value = FPZero(sign);
|
|
|
|
if ((valueBits & 0x007FFFFFu) != 0u)
|
|
{
|
|
FPProcessException(FPException.InputDenorm, context, fpcr);
|
|
}
|
|
}
|
|
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;
|
|
value = FPZero(sign);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
type = FPType.Nonzero;
|
|
}
|
|
|
|
return value;
|
|
}
|
|
|
|
private static float FPProcessNaNs(
|
|
FPType type1,
|
|
FPType type2,
|
|
uint op1,
|
|
uint op2,
|
|
out bool done,
|
|
ExecutionContext context,
|
|
FPCR fpcr)
|
|
{
|
|
done = true;
|
|
|
|
if (type1 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(type1, op1, context, fpcr);
|
|
}
|
|
else if (type2 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(type2, op2, context, fpcr);
|
|
}
|
|
else if (type1 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(type1, op1, context, fpcr);
|
|
}
|
|
else if (type2 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(type2, op2, context, fpcr);
|
|
}
|
|
|
|
done = false;
|
|
|
|
return FPZero(false);
|
|
}
|
|
|
|
private static float FPProcessNaNs3(
|
|
FPType type1,
|
|
FPType type2,
|
|
FPType type3,
|
|
uint op1,
|
|
uint op2,
|
|
uint op3,
|
|
out bool done,
|
|
ExecutionContext context,
|
|
FPCR fpcr)
|
|
{
|
|
done = true;
|
|
|
|
if (type1 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(type1, op1, context, fpcr);
|
|
}
|
|
else if (type2 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(type2, op2, context, fpcr);
|
|
}
|
|
else if (type3 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(type3, op3, context, fpcr);
|
|
}
|
|
else if (type1 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(type1, op1, context, fpcr);
|
|
}
|
|
else if (type2 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(type2, op2, context, fpcr);
|
|
}
|
|
else if (type3 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(type3, op3, context, fpcr);
|
|
}
|
|
|
|
done = false;
|
|
|
|
return FPZero(false);
|
|
}
|
|
|
|
private static float FPProcessNaN(FPType type, uint op, ExecutionContext context, FPCR fpcr)
|
|
{
|
|
if (type == FPType.SNaN)
|
|
{
|
|
op |= 1u << 22;
|
|
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
|
|
if ((fpcr & FPCR.Dn) != 0)
|
|
{
|
|
return FPDefaultNaN();
|
|
}
|
|
|
|
return BitConverter.Int32BitsToSingle((int)op);
|
|
}
|
|
|
|
private static void FPProcessException(FPException exc, ExecutionContext context, FPCR fpcr)
|
|
{
|
|
int enable = (int)exc + 8;
|
|
|
|
if ((fpcr & (FPCR)(1 << enable)) != 0)
|
|
{
|
|
throw new NotImplementedException("Floating-point trap handling.");
|
|
}
|
|
else
|
|
{
|
|
context.Fpsr |= (FPSR)(1 << (int)exc);
|
|
}
|
|
}
|
|
}
|
|
|
|
static class SoftFloat64
|
|
{
|
|
public static double FPAdd(double value1, double value2)
|
|
{
|
|
return FPAddFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static double FPAddFpscr(double value1, double value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out ulong op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out ulong op2, context, fpcr);
|
|
|
|
double result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
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;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && double.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0d);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static int FPCompare(double value1, double value2, bool signalNaNs)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out _, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out _, context, fpcr);
|
|
|
|
int result;
|
|
|
|
if (type1 == FPType.SNaN || type1 == FPType.QNaN || type2 == FPType.SNaN || type2 == FPType.QNaN)
|
|
{
|
|
result = 0b0011;
|
|
|
|
if (type1 == FPType.SNaN || type2 == FPType.SNaN || signalNaNs)
|
|
{
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (value1 == value2)
|
|
{
|
|
result = 0b0110;
|
|
}
|
|
else if (value1 < value2)
|
|
{
|
|
result = 0b1000;
|
|
}
|
|
else
|
|
{
|
|
result = 0b0010;
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPCompareEQ(double value1, double value2)
|
|
{
|
|
return FPCompareEQFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static double FPCompareEQFpscr(double value1, double value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out _, out _, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out _, out _, context, fpcr);
|
|
|
|
double result;
|
|
|
|
if (type1 == FPType.SNaN || type1 == FPType.QNaN || type2 == FPType.SNaN || type2 == FPType.QNaN)
|
|
{
|
|
result = ZerosOrOnes(false);
|
|
|
|
if (type1 == FPType.SNaN || type2 == FPType.SNaN)
|
|
{
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
result = ZerosOrOnes(value1 == value2);
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPCompareGE(double value1, double value2)
|
|
{
|
|
return FPCompareGEFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static double FPCompareGEFpscr(double value1, double value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out _, out _, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out _, out _, context, fpcr);
|
|
|
|
double result;
|
|
|
|
if (type1 == FPType.SNaN || type1 == FPType.QNaN || type2 == FPType.SNaN || type2 == FPType.QNaN)
|
|
{
|
|
result = ZerosOrOnes(false);
|
|
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
else
|
|
{
|
|
result = ZerosOrOnes(value1 >= value2);
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPCompareGT(double value1, double value2)
|
|
{
|
|
return FPCompareGTFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static double FPCompareGTFpscr(double value1, double value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out _, out _, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out _, out _, context, fpcr);
|
|
|
|
double result;
|
|
|
|
if (type1 == FPType.SNaN || type1 == FPType.QNaN || type2 == FPType.SNaN || type2 == FPType.QNaN)
|
|
{
|
|
result = ZerosOrOnes(false);
|
|
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
else
|
|
{
|
|
result = ZerosOrOnes(value1 > value2);
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPCompareLE(double value1, double value2)
|
|
{
|
|
return FPCompareGE(value2, value1);
|
|
}
|
|
|
|
public static double FPCompareLT(double value1, double value2)
|
|
{
|
|
return FPCompareGT(value2, value1);
|
|
}
|
|
|
|
public static double FPCompareLEFpscr(double value1, double value2, bool standardFpscr)
|
|
{
|
|
return FPCompareGEFpscr(value2, value1, standardFpscr);
|
|
}
|
|
|
|
public static double FPCompareLTFpscr(double value1, double value2, bool standardFpscr)
|
|
{
|
|
return FPCompareGTFpscr(value2, value1, standardFpscr);
|
|
}
|
|
|
|
public static double FPDiv(double value1, double value2)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out ulong op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out ulong op2, context, fpcr);
|
|
|
|
double result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
else if (inf1 || zero2)
|
|
{
|
|
result = FPInfinity(sign1 ^ sign2);
|
|
|
|
if (!inf1)
|
|
{
|
|
FPProcessException(FPException.DivideByZero, context, fpcr);
|
|
}
|
|
}
|
|
else if (zero1 || inf2)
|
|
{
|
|
result = FPZero(sign1 ^ sign2);
|
|
}
|
|
else
|
|
{
|
|
result = value1 / value2;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && double.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0d);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPMax(double value1, double value2)
|
|
{
|
|
return FPMaxFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static double FPMaxFpscr(double value1, double value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out ulong op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out ulong op2, context, fpcr);
|
|
|
|
double result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && double.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0d);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPMaxNum(double value1, double value2)
|
|
{
|
|
return FPMaxNumFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static double FPMaxNumFpscr(double value1, double value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1.FPUnpack(out FPType type1, out _, out _, context, fpcr);
|
|
value2.FPUnpack(out FPType type2, out _, out _, context, fpcr);
|
|
|
|
if (type1 == FPType.QNaN && type2 != FPType.QNaN)
|
|
{
|
|
value1 = FPInfinity(true);
|
|
}
|
|
else if (type1 != FPType.QNaN && type2 == FPType.QNaN)
|
|
{
|
|
value2 = FPInfinity(true);
|
|
}
|
|
|
|
return FPMaxFpscr(value1, value2, standardFpscr);
|
|
}
|
|
|
|
public static double FPMin(double value1, double value2)
|
|
{
|
|
return FPMinFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static double FPMinFpscr(double value1, double value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out ulong op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out ulong op2, context, fpcr);
|
|
|
|
double result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && double.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0d);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPMinNum(double value1, double value2)
|
|
{
|
|
return FPMinNumFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static double FPMinNumFpscr(double value1, double value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1.FPUnpack(out FPType type1, out _, out _, context, fpcr);
|
|
value2.FPUnpack(out FPType type2, out _, out _, context, fpcr);
|
|
|
|
if (type1 == FPType.QNaN && type2 != FPType.QNaN)
|
|
{
|
|
value1 = FPInfinity(false);
|
|
}
|
|
else if (type1 != FPType.QNaN && type2 == FPType.QNaN)
|
|
{
|
|
value2 = FPInfinity(false);
|
|
}
|
|
|
|
return FPMinFpscr(value1, value2, standardFpscr);
|
|
}
|
|
|
|
public static double FPMul(double value1, double value2)
|
|
{
|
|
return FPMulFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static double FPMulFpscr(double value1, double value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out ulong op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out ulong op2, context, fpcr);
|
|
|
|
double result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
else if (inf1 || inf2)
|
|
{
|
|
result = FPInfinity(sign1 ^ sign2);
|
|
}
|
|
else if (zero1 || zero2)
|
|
{
|
|
result = FPZero(sign1 ^ sign2);
|
|
}
|
|
else
|
|
{
|
|
result = value1 * value2;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && double.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0d);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPMulAdd(double valueA, double value1, double value2)
|
|
{
|
|
return FPMulAddFpscr(valueA, value1, value2, false);
|
|
}
|
|
|
|
public static double FPMulAddFpscr(double valueA, double value1, double value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
valueA = valueA.FPUnpack(out FPType typeA, out bool signA, out ulong addend, context, fpcr);
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out ulong op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out ulong op2, context, fpcr);
|
|
|
|
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, out bool done, context, fpcr);
|
|
|
|
if (typeA == FPType.QNaN && ((inf1 && zero2) || (zero1 && inf2)))
|
|
{
|
|
result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
|
|
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(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
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
|
|
{
|
|
result = Math.FusedMultiplyAdd(value1, value2, valueA);
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && double.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0d);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPMulSub(double valueA, double value1, double value2)
|
|
{
|
|
value1 = value1.FPNeg();
|
|
|
|
return FPMulAdd(valueA, value1, value2);
|
|
}
|
|
|
|
public static double FPMulSubFpscr(double valueA, double value1, double value2, bool standardFpscr)
|
|
{
|
|
value1 = value1.FPNeg();
|
|
|
|
return FPMulAddFpscr(valueA, value1, value2, standardFpscr);
|
|
}
|
|
|
|
public static double FPMulX(double value1, double value2)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out ulong op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out ulong op2, context, fpcr);
|
|
|
|
double result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && double.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0d);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPNegMulAdd(double valueA, double value1, double value2)
|
|
{
|
|
valueA = valueA.FPNeg();
|
|
value1 = value1.FPNeg();
|
|
|
|
return FPMulAdd(valueA, value1, value2);
|
|
}
|
|
|
|
public static double FPNegMulSub(double valueA, double value1, double value2)
|
|
{
|
|
valueA = valueA.FPNeg();
|
|
|
|
return FPMulAdd(valueA, value1, value2);
|
|
}
|
|
|
|
public static double FPRecipEstimate(double value)
|
|
{
|
|
return FPRecipEstimateFpscr(value, false);
|
|
}
|
|
|
|
public static double FPRecipEstimateFpscr(double value, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value.FPUnpack(out FPType type, out bool sign, out ulong op, context, fpcr);
|
|
|
|
double result;
|
|
|
|
if (type == FPType.SNaN || type == FPType.QNaN)
|
|
{
|
|
result = FPProcessNaN(type, op, context, fpcr);
|
|
}
|
|
else if (type == FPType.Infinity)
|
|
{
|
|
result = FPZero(sign);
|
|
}
|
|
else if (type == FPType.Zero)
|
|
{
|
|
result = FPInfinity(sign);
|
|
|
|
FPProcessException(FPException.DivideByZero, context, fpcr);
|
|
}
|
|
else if (Math.Abs(value) < Math.Pow(2d, -1024))
|
|
{
|
|
bool overflowToInf;
|
|
|
|
switch (fpcr.GetRoundingMode())
|
|
{
|
|
default:
|
|
case FPRoundingMode.ToNearest: overflowToInf = true; break;
|
|
case FPRoundingMode.TowardsPlusInfinity: overflowToInf = !sign; break;
|
|
case FPRoundingMode.TowardsMinusInfinity: overflowToInf = sign; break;
|
|
case FPRoundingMode.TowardsZero: overflowToInf = false; break;
|
|
}
|
|
|
|
result = overflowToInf ? FPInfinity(sign) : FPMaxNormal(sign);
|
|
|
|
FPProcessException(FPException.Overflow, context, fpcr);
|
|
FPProcessException(FPException.Inexact, context, fpcr);
|
|
}
|
|
else if ((fpcr & FPCR.Fz) != 0 && (Math.Abs(value) >= Math.Pow(2d, 1022)))
|
|
{
|
|
result = FPZero(sign);
|
|
|
|
context.Fpsr |= FPSR.Ufc;
|
|
}
|
|
else
|
|
{
|
|
ulong fraction = op & 0x000FFFFFFFFFFFFFul;
|
|
uint exp = (uint)((op & 0x7FF0000000000000ul) >> 52);
|
|
|
|
if (exp == 0u)
|
|
{
|
|
if ((fraction & 0x0008000000000000ul) == 0ul)
|
|
{
|
|
fraction = (fraction & 0x0003FFFFFFFFFFFFul) << 2;
|
|
exp -= 1u;
|
|
}
|
|
else
|
|
{
|
|
fraction = (fraction & 0x0007FFFFFFFFFFFFul) << 1;
|
|
}
|
|
}
|
|
|
|
uint scaled = (uint)(((fraction & 0x000FF00000000000ul) | 0x0010000000000000ul) >> 44);
|
|
|
|
uint resultExp = 2045u - exp;
|
|
|
|
uint estimate = (uint)SoftFloat.RecipEstimateTable[scaled - 256u] + 256u;
|
|
|
|
fraction = (ulong)(estimate & 0xFFu) << 44;
|
|
|
|
if (resultExp == 0u)
|
|
{
|
|
fraction = ((fraction & 0x000FFFFFFFFFFFFEul) | 0x0010000000000000ul) >> 1;
|
|
}
|
|
else if (resultExp + 1u == 0u)
|
|
{
|
|
fraction = ((fraction & 0x000FFFFFFFFFFFFCul) | 0x0010000000000000ul) >> 2;
|
|
resultExp = 0u;
|
|
}
|
|
|
|
result = BitConverter.Int64BitsToDouble(
|
|
(long)((sign ? 1ul : 0ul) << 63 | (resultExp & 0x7FFul) << 52 | (fraction & 0x000FFFFFFFFFFFFFul)));
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPRecipStep(double value1, double value2)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.StandardFpcrValue;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out ulong op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out ulong op2, context, fpcr);
|
|
|
|
double result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
if (!done)
|
|
{
|
|
bool inf1 = type1 == FPType.Infinity; bool zero1 = type1 == FPType.Zero;
|
|
bool inf2 = type2 == FPType.Infinity; bool zero2 = type2 == FPType.Zero;
|
|
|
|
double product;
|
|
|
|
if ((inf1 && zero2) || (zero1 && inf2))
|
|
{
|
|
product = FPZero(false);
|
|
}
|
|
else
|
|
{
|
|
product = FPMulFpscr(value1, value2, true);
|
|
}
|
|
|
|
result = FPSubFpscr(FPTwo(false), product, true);
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPRecipStepFused(double value1, double value2)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value1 = value1.FPNeg();
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out ulong op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out ulong op2, context, fpcr);
|
|
|
|
double result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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
|
|
{
|
|
result = Math.FusedMultiplyAdd(value1, value2, 2d);
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && double.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0d);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPRecpX(double value)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value.FPUnpack(out FPType type, out bool sign, out ulong op, context, fpcr);
|
|
|
|
double result;
|
|
|
|
if (type == FPType.SNaN || type == FPType.QNaN)
|
|
{
|
|
result = FPProcessNaN(type, op, context, fpcr);
|
|
}
|
|
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 FPRSqrtEstimate(double value)
|
|
{
|
|
return FPRSqrtEstimateFpscr(value, false);
|
|
}
|
|
|
|
public static double FPRSqrtEstimateFpscr(double value, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value.FPUnpack(out FPType type, out bool sign, out ulong op, context, fpcr);
|
|
|
|
double result;
|
|
|
|
if (type == FPType.SNaN || type == FPType.QNaN)
|
|
{
|
|
result = FPProcessNaN(type, op, context, fpcr);
|
|
}
|
|
else if (type == FPType.Zero)
|
|
{
|
|
result = FPInfinity(sign);
|
|
|
|
FPProcessException(FPException.DivideByZero, context, fpcr);
|
|
}
|
|
else if (sign)
|
|
{
|
|
result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
else if (type == FPType.Infinity)
|
|
{
|
|
result = FPZero(false);
|
|
}
|
|
else
|
|
{
|
|
ulong fraction = op & 0x000FFFFFFFFFFFFFul;
|
|
uint exp = (uint)((op & 0x7FF0000000000000ul) >> 52);
|
|
|
|
if (exp == 0u)
|
|
{
|
|
while ((fraction & 0x0008000000000000ul) == 0ul)
|
|
{
|
|
fraction = (fraction & 0x0007FFFFFFFFFFFFul) << 1;
|
|
exp -= 1u;
|
|
}
|
|
|
|
fraction = (fraction & 0x0007FFFFFFFFFFFFul) << 1;
|
|
}
|
|
|
|
uint scaled;
|
|
|
|
if ((exp & 1u) == 0u)
|
|
{
|
|
scaled = (uint)(((fraction & 0x000FF00000000000ul) | 0x0010000000000000ul) >> 44);
|
|
}
|
|
else
|
|
{
|
|
scaled = (uint)(((fraction & 0x000FE00000000000ul) | 0x0010000000000000ul) >> 45);
|
|
}
|
|
|
|
uint resultExp = (3068u - exp) >> 1;
|
|
|
|
uint estimate = (uint)SoftFloat.RecipSqrtEstimateTable[scaled - 128u] + 256u;
|
|
|
|
result = BitConverter.Int64BitsToDouble((long)((resultExp & 0x7FFul) << 52 | (estimate & 0xFFul) << 44));
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPHalvedSub(double value1, double value2, ExecutionContext context, FPCR fpcr)
|
|
{
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out ulong op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out ulong op2, context, fpcr);
|
|
|
|
double result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
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) / 2.0;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && double.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0d);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPRSqrtStep(double value1, double value2)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.StandardFpcrValue;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out ulong op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out ulong op2, context, fpcr);
|
|
|
|
double result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
if (!done)
|
|
{
|
|
bool inf1 = type1 == FPType.Infinity; bool zero1 = type1 == FPType.Zero;
|
|
bool inf2 = type2 == FPType.Infinity; bool zero2 = type2 == FPType.Zero;
|
|
|
|
double product;
|
|
|
|
if ((inf1 && zero2) || (zero1 && inf2))
|
|
{
|
|
product = FPZero(false);
|
|
}
|
|
else
|
|
{
|
|
product = FPMulFpscr(value1, value2, true);
|
|
}
|
|
|
|
result = FPHalvedSub(FPThree(false), product, context, fpcr);
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPRSqrtStepFused(double value1, double value2)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value1 = value1.FPNeg();
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out ulong op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out ulong op2, context, fpcr);
|
|
|
|
double result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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
|
|
{
|
|
result = Math.FusedMultiplyAdd(value1, value2, 3d) / 2d;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && double.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0d);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPSqrt(double value)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = context.Fpcr;
|
|
|
|
value = value.FPUnpack(out FPType type, out bool sign, out ulong op, context, fpcr);
|
|
|
|
double result;
|
|
|
|
if (type == FPType.SNaN || type == FPType.QNaN)
|
|
{
|
|
result = FPProcessNaN(type, op, context, fpcr);
|
|
}
|
|
else if (type == FPType.Zero)
|
|
{
|
|
result = FPZero(sign);
|
|
}
|
|
else if (type == FPType.Infinity && !sign)
|
|
{
|
|
result = FPInfinity(sign);
|
|
}
|
|
else if (sign)
|
|
{
|
|
result = FPDefaultNaN();
|
|
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
else
|
|
{
|
|
result = Math.Sqrt(value);
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && double.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0d);
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
public static double FPSub(double value1, double value2)
|
|
{
|
|
return FPSubFpscr(value1, value2, false);
|
|
}
|
|
|
|
public static double FPSubFpscr(double value1, double value2, bool standardFpscr)
|
|
{
|
|
ExecutionContext context = NativeInterface.GetContext();
|
|
FPCR fpcr = standardFpscr ? context.StandardFpcrValue : context.Fpcr;
|
|
|
|
value1 = value1.FPUnpack(out FPType type1, out bool sign1, out ulong op1, context, fpcr);
|
|
value2 = value2.FPUnpack(out FPType type2, out bool sign2, out ulong op2, context, fpcr);
|
|
|
|
double result = FPProcessNaNs(type1, type2, op1, op2, out bool done, context, fpcr);
|
|
|
|
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(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
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;
|
|
|
|
if ((fpcr & FPCR.Fz) != 0 && double.IsSubnormal(result))
|
|
{
|
|
context.Fpsr |= FPSR.Ufc;
|
|
|
|
result = FPZero(result < 0d);
|
|
}
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
private static double FPDefaultNaN()
|
|
{
|
|
return BitConverter.Int64BitsToDouble(0x7ff8000000000000);
|
|
}
|
|
|
|
private static double FPInfinity(bool sign)
|
|
{
|
|
return sign ? double.NegativeInfinity : double.PositiveInfinity;
|
|
}
|
|
|
|
private static double FPZero(bool sign)
|
|
{
|
|
return sign ? -0d : +0d;
|
|
}
|
|
|
|
private static double FPMaxNormal(bool sign)
|
|
{
|
|
return sign ? double.MinValue : double.MaxValue;
|
|
}
|
|
|
|
private static double FPTwo(bool sign)
|
|
{
|
|
return sign ? -2d : +2d;
|
|
}
|
|
|
|
private static double FPThree(bool sign)
|
|
{
|
|
return sign ? -3d : +3d;
|
|
}
|
|
|
|
private static double FPOnePointFive(bool sign)
|
|
{
|
|
return sign ? -1.5d : +1.5d;
|
|
}
|
|
|
|
private static double FPNeg(this double value)
|
|
{
|
|
return -value;
|
|
}
|
|
|
|
private static double ZerosOrOnes(bool ones)
|
|
{
|
|
return BitConverter.Int64BitsToDouble(ones ? -1L : 0L);
|
|
}
|
|
|
|
private static double FPUnpack(
|
|
this double value,
|
|
out FPType type,
|
|
out bool sign,
|
|
out ulong valueBits,
|
|
ExecutionContext context,
|
|
FPCR fpcr)
|
|
{
|
|
valueBits = (ulong)BitConverter.DoubleToInt64Bits(value);
|
|
|
|
sign = (~valueBits & 0x8000000000000000ul) == 0ul;
|
|
|
|
if ((valueBits & 0x7FF0000000000000ul) == 0ul)
|
|
{
|
|
if ((valueBits & 0x000FFFFFFFFFFFFFul) == 0ul || (fpcr & FPCR.Fz) != 0)
|
|
{
|
|
type = FPType.Zero;
|
|
value = FPZero(sign);
|
|
|
|
if ((valueBits & 0x000FFFFFFFFFFFFFul) != 0ul)
|
|
{
|
|
FPProcessException(FPException.InputDenorm, context, fpcr);
|
|
}
|
|
}
|
|
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;
|
|
value = FPZero(sign);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
type = FPType.Nonzero;
|
|
}
|
|
|
|
return value;
|
|
}
|
|
|
|
private static double FPProcessNaNs(
|
|
FPType type1,
|
|
FPType type2,
|
|
ulong op1,
|
|
ulong op2,
|
|
out bool done,
|
|
ExecutionContext context,
|
|
FPCR fpcr)
|
|
{
|
|
done = true;
|
|
|
|
if (type1 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(type1, op1, context, fpcr);
|
|
}
|
|
else if (type2 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(type2, op2, context, fpcr);
|
|
}
|
|
else if (type1 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(type1, op1, context, fpcr);
|
|
}
|
|
else if (type2 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(type2, op2, context, fpcr);
|
|
}
|
|
|
|
done = false;
|
|
|
|
return FPZero(false);
|
|
}
|
|
|
|
private static double FPProcessNaNs3(
|
|
FPType type1,
|
|
FPType type2,
|
|
FPType type3,
|
|
ulong op1,
|
|
ulong op2,
|
|
ulong op3,
|
|
out bool done,
|
|
ExecutionContext context,
|
|
FPCR fpcr)
|
|
{
|
|
done = true;
|
|
|
|
if (type1 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(type1, op1, context, fpcr);
|
|
}
|
|
else if (type2 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(type2, op2, context, fpcr);
|
|
}
|
|
else if (type3 == FPType.SNaN)
|
|
{
|
|
return FPProcessNaN(type3, op3, context, fpcr);
|
|
}
|
|
else if (type1 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(type1, op1, context, fpcr);
|
|
}
|
|
else if (type2 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(type2, op2, context, fpcr);
|
|
}
|
|
else if (type3 == FPType.QNaN)
|
|
{
|
|
return FPProcessNaN(type3, op3, context, fpcr);
|
|
}
|
|
|
|
done = false;
|
|
|
|
return FPZero(false);
|
|
}
|
|
|
|
private static double FPProcessNaN(FPType type, ulong op, ExecutionContext context, FPCR fpcr)
|
|
{
|
|
if (type == FPType.SNaN)
|
|
{
|
|
op |= 1ul << 51;
|
|
|
|
FPProcessException(FPException.InvalidOp, context, fpcr);
|
|
}
|
|
|
|
if ((fpcr & FPCR.Dn) != 0)
|
|
{
|
|
return FPDefaultNaN();
|
|
}
|
|
|
|
return BitConverter.Int64BitsToDouble((long)op);
|
|
}
|
|
|
|
private static void FPProcessException(FPException exc, ExecutionContext context, FPCR fpcr)
|
|
{
|
|
int enable = (int)exc + 8;
|
|
|
|
if ((fpcr & (FPCR)(1 << enable)) != 0)
|
|
{
|
|
throw new NotImplementedException("Floating-point trap handling.");
|
|
}
|
|
else
|
|
{
|
|
context.Fpsr |= (FPSR)(1 << (int)exc);
|
|
}
|
|
}
|
|
}
|
|
}
|