| 1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283848586878889909192939495969798991001011021031041051061071081091101111121131141151161171181191201211221231241251261271281291301311321331341351361371381391401411421431441451461471481491501511521531541551561571581591601611621631641651661671681691701711721731741751761771781791801811821831841851861871881891901911921931941951961971981992002012022032042052062072082092102112122132142152162172182192202212222232242252262272282292302312322332342352362372382392402412422432442452462472482492502512522532542552562572582592602612622632642652662672682692702712722732742752762772782792802812822832842852862872882892902912922932942952962972982993003013023033043053063073083093103113123133143153163173183193203213223233243253263273283293303313323333343353363373383393403413423433443453463473483493503513523533543553563573583593603613623633643653663673683693703713723733743753763773783793803813823833843853863873883893903913923933943953963973983994004014024034044054064074084094104114124134144154164174184194204214224234244254264274284294304314324334344354364374384394404414424434444454464474484494504514524534544554564574584594604614624634644654664674684694704714724734744754764774784794804814824834844854864874884894904914924934944954964974984995005015025035045055065075085095105115125135145155165175185195205215225235245255265275285295305315325335345355365375385395405415425435445455465475485495505515525535545555565575585595605615625635645655665675685695705715725735745755765775785795805815825835845855865875885895905915925935945955965975985996006016026036046056066076086096106116126136146156166176186196206216226236246256266276286296306316326336346356366376386396406416426436446456466476486496506516526536546556566576586596606616626636646656666676686696706716726736746756766776786796806816826836846856866876886896906916926936946956966976986997007017027037047057067077087097107117127137147157167177187197207217227237247257267277287297307317327337347357367377387397407417427437447457467477487497507517527537547557567577587597607617627637647657667677687697707717727737747757767777787797807817827837847857867877887897907917927937947957967977987998008018028038048058068078088098108118128138148158168178188198208218228238248258268278288298308318328338348358368378388398408418428438448458468478488498508518528538548558568578588598608618628638648658668678688698708718728738748758768778788798808818828838848858868878888898908918928938948958968978988999009019029039049059069079089099109119129139149159169179189199209219229239249259269279289299309319329339349359369379389399409419429439449459469479489499509519529539549559569579589599609619629639649659669679689699709719729739749759769779789799809819829839849859869879889899909919929939949959969979989991000100110021003100410051006100710081009101010111012101310141015101610171018101910201021102210231024102510261027102810291030103110321033103410351036103710381039104010411042104310441045104610471048104910501051105210531054105510561057105810591060106110621063106410651066106710681069107010711072107310741075107610771078107910801081108210831084108510861087108810891090109110921093109410951096109710981099110011011102110311041105110611071108110911101111111211131114111511161117111811191120112111221123112411251126112711281129113011311132113311341135113611371138113911401141114211431144114511461147114811491150115111521153115411551156115711581159116011611162116311641165116611671168116911701171117211731174117511761177117811791180118111821183118411851186118711881189119011911192119311941195119611971198119912001201120212031204120512061207120812091210121112121213121412151216121712181219122012211222122312241225122612271228122912301231123212331234123512361237123812391240124112421243124412451246124712481249125012511252125312541255125612571258125912601261126212631264126512661267126812691270127112721273127412751276127712781279128012811282128312841285128612871288128912901291129212931294129512961297129812991300130113021303130413051306130713081309131013111312131313141315131613171318131913201321132213231324132513261327132813291330133113321333133413351336133713381339134013411342134313441345134613471348134913501351135213531354135513561357135813591360136113621363136413651366136713681369137013711372137313741375137613771378137913801381138213831384138513861387138813891390139113921393139413951396139713981399140014011402140314041405140614071408140914101411141214131414141514161417141814191420142114221423142414251426142714281429143014311432143314341435143614371438143914401441144214431444144514461447144814491450145114521453145414551456145714581459146014611462146314641465146614671468146914701471147214731474147514761477147814791480148114821483148414851486148714881489149014911492149314941495149614971498149915001501150215031504150515061507150815091510151115121513151415151516151715181519152015211522152315241525152615271528152915301531153215331534153515361537153815391540154115421543154415451546154715481549155015511552155315541555155615571558155915601561156215631564156515661567156815691570157115721573157415751576157715781579158015811582158315841585158615871588158915901591159215931594159515961597159815991600160116021603160416051606160716081609161016111612161316141615161616171618161916201621162216231624162516261627162816291630163116321633163416351636163716381639164016411642164316441645164616471648164916501651165216531654165516561657165816591660166116621663166416651666166716681669167016711672167316741675167616771678167916801681168216831684168516861687 |
- using ChocolArm64.State;
- using System;
- using System.Diagnostics;
- using System.Runtime.CompilerServices;
- namespace ChocolArm64.Instruction
- {
- static class ASoftFloat
- {
- static ASoftFloat()
- {
- RecipEstimateTable = BuildRecipEstimateTable();
- InvSqrtEstimateTable = BuildInvSqrtEstimateTable();
- }
- private static readonly byte[] RecipEstimateTable;
- private static readonly byte[] InvSqrtEstimateTable;
- private static byte[] BuildRecipEstimateTable()
- {
- byte[] Table = new byte[256];
- for (ulong index = 0; index < 256; index++)
- {
- ulong a = index | 0x100;
- a = (a << 1) + 1;
- ulong b = 0x80000 / a;
- b = (b + 1) >> 1;
- Table[index] = (byte)(b & 0xFF);
- }
- return Table;
- }
- private static byte[] BuildInvSqrtEstimateTable()
- {
- byte[] Table = new byte[512];
- for (ulong index = 128; index < 512; index++)
- {
- ulong a = index;
- if (a < 256)
- {
- a = (a << 1) + 1;
- }
- else
- {
- a = (a | 1) << 1;
- }
- ulong b = 256;
- while (a * (b + 1) * (b + 1) < (1ul << 28))
- {
- b++;
- }
- b = (b + 1) >> 1;
- Table[index] = (byte)(b & 0xFF);
- }
- return Table;
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- public static float RecipEstimate(float x)
- {
- return (float)RecipEstimate((double)x);
- }
- public static double RecipEstimate(double x)
- {
- ulong x_bits = (ulong)BitConverter.DoubleToInt64Bits(x);
- ulong x_sign = x_bits & 0x8000000000000000;
- ulong x_exp = (x_bits >> 52) & 0x7FF;
- ulong scaled = x_bits & ((1ul << 52) - 1);
- if (x_exp >= 2045)
- {
- if (x_exp == 0x7ff && scaled != 0)
- {
- // NaN
- return BitConverter.Int64BitsToDouble((long)(x_bits | 0x0008000000000000));
- }
- // Infinity, or Out of range -> Zero
- return BitConverter.Int64BitsToDouble((long)x_sign);
- }
- if (x_exp == 0)
- {
- if (scaled == 0)
- {
- // Zero -> Infinity
- return BitConverter.Int64BitsToDouble((long)(x_sign | 0x7FF0000000000000));
- }
- // Denormal
- if ((scaled & (1ul << 51)) == 0)
- {
- x_exp = ~0ul;
- scaled <<= 2;
- }
- else
- {
- scaled <<= 1;
- }
- }
- scaled >>= 44;
- scaled &= 0xFF;
- ulong result_exp = (2045 - x_exp) & 0x7FF;
- ulong estimate = (ulong)RecipEstimateTable[scaled];
- ulong fraction = estimate << 44;
- if (result_exp == 0)
- {
- fraction >>= 1;
- fraction |= 1ul << 51;
- }
- else if (result_exp == 0x7FF)
- {
- result_exp = 0;
- fraction >>= 2;
- fraction |= 1ul << 50;
- }
- ulong result = x_sign | (result_exp << 52) | fraction;
- return BitConverter.Int64BitsToDouble((long)result);
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- public static float InvSqrtEstimate(float x)
- {
- return (float)InvSqrtEstimate((double)x);
- }
- public static double InvSqrtEstimate(double x)
- {
- ulong x_bits = (ulong)BitConverter.DoubleToInt64Bits(x);
- ulong x_sign = x_bits & 0x8000000000000000;
- long x_exp = (long)((x_bits >> 52) & 0x7FF);
- ulong scaled = x_bits & ((1ul << 52) - 1);
- if (x_exp == 0x7FF && scaled != 0)
- {
- // NaN
- return BitConverter.Int64BitsToDouble((long)(x_bits | 0x0008000000000000));
- }
- if (x_exp == 0)
- {
- if (scaled == 0)
- {
- // Zero -> Infinity
- return BitConverter.Int64BitsToDouble((long)(x_sign | 0x7FF0000000000000));
- }
- // Denormal
- while ((scaled & (1 << 51)) == 0)
- {
- scaled <<= 1;
- x_exp--;
- }
- scaled <<= 1;
- }
- if (x_sign != 0)
- {
- // Negative -> NaN
- return BitConverter.Int64BitsToDouble((long)0x7FF8000000000000);
- }
- if (x_exp == 0x7ff && scaled == 0)
- {
- // Infinity -> Zero
- return BitConverter.Int64BitsToDouble((long)x_sign);
- }
- if (((ulong)x_exp & 1) == 1)
- {
- scaled >>= 45;
- scaled &= 0xFF;
- scaled |= 0x80;
- }
- else
- {
- scaled >>= 44;
- scaled &= 0xFF;
- scaled |= 0x100;
- }
- ulong result_exp = ((ulong)(3068 - x_exp) / 2) & 0x7FF;
- ulong estimate = (ulong)InvSqrtEstimateTable[scaled];
- ulong fraction = estimate << 44;
- ulong result = x_sign | (result_exp << 52) | fraction;
- return BitConverter.Int64BitsToDouble((long)result);
- }
- public static float ConvertHalfToSingle(ushort x)
- {
- uint x_sign = (uint)(x >> 15) & 0x0001;
- uint x_exp = (uint)(x >> 10) & 0x001F;
- uint x_mantissa = (uint)x & 0x03FF;
- if (x_exp == 0 && x_mantissa == 0)
- {
- // Zero
- return BitConverter.Int32BitsToSingle((int)(x_sign << 31));
- }
- if (x_exp == 0x1F)
- {
- // NaN or Infinity
- return BitConverter.Int32BitsToSingle((int)((x_sign << 31) | 0x7F800000 | (x_mantissa << 13)));
- }
- int exponent = (int)x_exp - 15;
- if (x_exp == 0)
- {
- // Denormal
- x_mantissa <<= 1;
- while ((x_mantissa & 0x0400) == 0)
- {
- x_mantissa <<= 1;
- exponent--;
- }
- x_mantissa &= 0x03FF;
- }
- uint new_exp = (uint)((exponent + 127) & 0xFF) << 23;
- return BitConverter.Int32BitsToSingle((int)((x_sign << 31) | new_exp | (x_mantissa << 13)));
- }
- }
- static class ASoftFloat_32
- {
- public static float FPAdd(float Value1, float Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPAdd: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
- float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if (Inf1 && Inf2 && Sign1 == !Sign2)
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- else if ((Inf1 && !Sign1) || (Inf2 && !Sign2))
- {
- Result = FPInfinity(false);
- }
- else if ((Inf1 && Sign1) || (Inf2 && Sign2))
- {
- Result = FPInfinity(true);
- }
- else if (Zero1 && Zero2 && Sign1 == Sign2)
- {
- Result = FPZero(Sign1);
- }
- else
- {
- Result = Value1 + Value2;
- }
- }
- return Result;
- }
- public static float FPDiv(float Value1, float Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPDiv: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
- float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if ((Inf1 && Inf2) || (Zero1 && Zero2))
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- else if (Inf1 || Zero2)
- {
- Result = FPInfinity(Sign1 ^ Sign2);
- if (!Inf1) FPProcessException(FPExc.DivideByZero, State);
- }
- else if (Zero1 || Inf2)
- {
- Result = FPZero(Sign1 ^ Sign2);
- }
- else
- {
- Result = Value1 / Value2;
- }
- }
- return Result;
- }
- public static float FPMax(float Value1, float Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPMax: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
- float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- if (Value1 > Value2)
- {
- if (Type1 == FPType.Infinity)
- {
- Result = FPInfinity(Sign1);
- }
- else if (Type1 == FPType.Zero)
- {
- Result = FPZero(Sign1 && Sign2);
- }
- else
- {
- Result = Value1;
- }
- }
- else
- {
- if (Type2 == FPType.Infinity)
- {
- Result = FPInfinity(Sign2);
- }
- else if (Type2 == FPType.Zero)
- {
- Result = FPZero(Sign1 && Sign2);
- }
- else
- {
- Result = Value2;
- }
- }
- }
- return Result;
- }
- public static float FPMaxNum(float Value1, float Value2, AThreadState State)
- {
- Debug.WriteIf(State.Fpcr != 0, "ASoftFloat_32.FPMaxNum: ");
- Value1.FPUnpack(out FPType Type1, out _, out _);
- Value2.FPUnpack(out FPType Type2, out _, out _);
- if (Type1 == FPType.QNaN && Type2 != FPType.QNaN)
- {
- Value1 = FPInfinity(true);
- }
- else if (Type1 != FPType.QNaN && Type2 == FPType.QNaN)
- {
- Value2 = FPInfinity(true);
- }
- return FPMax(Value1, Value2, State);
- }
- public static float FPMin(float Value1, float Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPMin: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
- float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- if (Value1 < Value2)
- {
- if (Type1 == FPType.Infinity)
- {
- Result = FPInfinity(Sign1);
- }
- else if (Type1 == FPType.Zero)
- {
- Result = FPZero(Sign1 || Sign2);
- }
- else
- {
- Result = Value1;
- }
- }
- else
- {
- if (Type2 == FPType.Infinity)
- {
- Result = FPInfinity(Sign2);
- }
- else if (Type2 == FPType.Zero)
- {
- Result = FPZero(Sign1 || Sign2);
- }
- else
- {
- Result = Value2;
- }
- }
- }
- return Result;
- }
- public static float FPMinNum(float Value1, float Value2, AThreadState State)
- {
- Debug.WriteIf(State.Fpcr != 0, "ASoftFloat_32.FPMinNum: ");
- Value1.FPUnpack(out FPType Type1, out _, out _);
- Value2.FPUnpack(out FPType Type2, out _, out _);
- if (Type1 == FPType.QNaN && Type2 != FPType.QNaN)
- {
- Value1 = FPInfinity(false);
- }
- else if (Type1 != FPType.QNaN && Type2 == FPType.QNaN)
- {
- Value2 = FPInfinity(false);
- }
- return FPMin(Value1, Value2, State);
- }
- public static float FPMul(float Value1, float Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPMul: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
- float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if ((Inf1 && Zero2) || (Zero1 && Inf2))
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- else if (Inf1 || Inf2)
- {
- Result = FPInfinity(Sign1 ^ Sign2);
- }
- else if (Zero1 || Zero2)
- {
- Result = FPZero(Sign1 ^ Sign2);
- }
- else
- {
- Result = Value1 * Value2;
- }
- }
- return Result;
- }
- public static float FPMulAdd(float ValueA, float Value1, float Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPMulAdd: State.Fpcr = 0x{State.Fpcr:X8}");
- ValueA = ValueA.FPUnpack(out FPType TypeA, out bool SignA, out uint Addend);
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- float Result = FPProcessNaNs3(TypeA, Type1, Type2, Addend, Op1, Op2, State, out bool Done);
- if (TypeA == FPType.QNaN && ((Inf1 && Zero2) || (Zero1 && Inf2)))
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- if (!Done)
- {
- bool InfA = TypeA == FPType.Infinity; bool ZeroA = TypeA == FPType.Zero;
- bool SignP = Sign1 ^ Sign2;
- bool InfP = Inf1 || Inf2;
- bool ZeroP = Zero1 || Zero2;
- if ((Inf1 && Zero2) || (Zero1 && Inf2) || (InfA && InfP && SignA != SignP))
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- else if ((InfA && !SignA) || (InfP && !SignP))
- {
- Result = FPInfinity(false);
- }
- else if ((InfA && SignA) || (InfP && SignP))
- {
- Result = FPInfinity(true);
- }
- else if (ZeroA && ZeroP && SignA == SignP)
- {
- Result = FPZero(SignA);
- }
- else
- {
- // TODO: When available, use: T MathF.FusedMultiplyAdd(T, T, T);
- // https://github.com/dotnet/corefx/issues/31903
- Result = ValueA + (Value1 * Value2);
- }
- }
- return Result;
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- public static float FPMulSub(float ValueA, float Value1, float Value2, AThreadState State)
- {
- Debug.WriteIf(State.Fpcr != 0, "ASoftFloat_32.FPMulSub: ");
- Value1 = Value1.FPNeg();
- return FPMulAdd(ValueA, Value1, Value2, State);
- }
- public static float FPMulX(float Value1, float Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPMulX: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
- float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if ((Inf1 && Zero2) || (Zero1 && Inf2))
- {
- Result = FPTwo(Sign1 ^ Sign2);
- }
- else if (Inf1 || Inf2)
- {
- Result = FPInfinity(Sign1 ^ Sign2);
- }
- else if (Zero1 || Zero2)
- {
- Result = FPZero(Sign1 ^ Sign2);
- }
- else
- {
- Result = Value1 * Value2;
- }
- }
- return Result;
- }
- public static float FPRecipStepFused(float Value1, float Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPRecipStepFused: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPNeg();
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
- float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if ((Inf1 && Zero2) || (Zero1 && Inf2))
- {
- Result = FPTwo(false);
- }
- else if (Inf1 || Inf2)
- {
- Result = FPInfinity(Sign1 ^ Sign2);
- }
- else
- {
- // TODO: When available, use: T MathF.FusedMultiplyAdd(T, T, T);
- // https://github.com/dotnet/corefx/issues/31903
- Result = 2f + (Value1 * Value2);
- }
- }
- return Result;
- }
- public static float FPRecpX(float Value, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPRecpX: State.Fpcr = 0x{State.Fpcr:X8}");
- Value.FPUnpack(out FPType Type, out bool Sign, out uint Op);
- float Result;
- if (Type == FPType.SNaN || Type == FPType.QNaN)
- {
- Result = FPProcessNaN(Type, Op, State);
- }
- else
- {
- uint NotExp = (~Op >> 23) & 0xFFu;
- uint MaxExp = 0xFEu;
- Result = BitConverter.Int32BitsToSingle(
- (int)((Sign ? 1u : 0u) << 31 | (NotExp == 0xFFu ? MaxExp : NotExp) << 23));
- }
- return Result;
- }
- public static float FPRSqrtStepFused(float Value1, float Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPRSqrtStepFused: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPNeg();
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
- float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if ((Inf1 && Zero2) || (Zero1 && Inf2))
- {
- Result = FPOnePointFive(false);
- }
- else if (Inf1 || Inf2)
- {
- Result = FPInfinity(Sign1 ^ Sign2);
- }
- else
- {
- // TODO: When available, use: T MathF.FusedMultiplyAdd(T, T, T);
- // https://github.com/dotnet/corefx/issues/31903
- Result = (3f + (Value1 * Value2)) / 2f;
- }
- }
- return Result;
- }
- public static float FPSqrt(float Value, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPSqrt: State.Fpcr = 0x{State.Fpcr:X8}");
- Value = Value.FPUnpack(out FPType Type, out bool Sign, out uint Op);
- float Result;
- if (Type == FPType.SNaN || Type == FPType.QNaN)
- {
- Result = FPProcessNaN(Type, Op, State);
- }
- else if (Type == FPType.Zero)
- {
- Result = FPZero(Sign);
- }
- else if (Type == FPType.Infinity && !Sign)
- {
- Result = FPInfinity(Sign);
- }
- else if (Sign)
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- else
- {
- Result = MathF.Sqrt(Value);
- }
- return Result;
- }
- public static float FPSub(float Value1, float Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_32.FPSub: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out uint Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out uint Op2);
- float Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if (Inf1 && Inf2 && Sign1 == Sign2)
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- else if ((Inf1 && !Sign1) || (Inf2 && Sign2))
- {
- Result = FPInfinity(false);
- }
- else if ((Inf1 && Sign1) || (Inf2 && !Sign2))
- {
- Result = FPInfinity(true);
- }
- else if (Zero1 && Zero2 && Sign1 == !Sign2)
- {
- Result = FPZero(Sign1);
- }
- else
- {
- Result = Value1 - Value2;
- }
- }
- return Result;
- }
- private enum FPType
- {
- Nonzero,
- Zero,
- Infinity,
- QNaN,
- SNaN
- }
- private enum FPExc
- {
- InvalidOp,
- DivideByZero,
- Overflow,
- Underflow,
- Inexact,
- InputDenorm = 7
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- private static float FPDefaultNaN()
- {
- return -float.NaN;
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- private static float FPInfinity(bool Sign)
- {
- return Sign ? float.NegativeInfinity : float.PositiveInfinity;
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- private static float FPZero(bool Sign)
- {
- return Sign ? -0f : +0f;
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- private static float FPTwo(bool Sign)
- {
- return Sign ? -2f : +2f;
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- private static float FPOnePointFive(bool Sign)
- {
- return Sign ? -1.5f : +1.5f;
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- private static float FPNeg(this float Value)
- {
- return -Value;
- }
- private static float FPUnpack(this float Value, out FPType Type, out bool Sign, out uint ValueBits)
- {
- ValueBits = (uint)BitConverter.SingleToInt32Bits(Value);
- Sign = (~ValueBits & 0x80000000u) == 0u;
- if ((ValueBits & 0x7F800000u) == 0u)
- {
- if ((ValueBits & 0x007FFFFFu) == 0u)
- {
- Type = FPType.Zero;
- }
- else
- {
- Type = FPType.Nonzero;
- }
- }
- else if ((~ValueBits & 0x7F800000u) == 0u)
- {
- if ((ValueBits & 0x007FFFFFu) == 0u)
- {
- Type = FPType.Infinity;
- }
- else
- {
- Type = (~ValueBits & 0x00400000u) == 0u
- ? FPType.QNaN
- : FPType.SNaN;
- return FPZero(Sign);
- }
- }
- else
- {
- Type = FPType.Nonzero;
- }
- return Value;
- }
- private static float FPProcessNaNs(
- FPType Type1,
- FPType Type2,
- uint Op1,
- uint Op2,
- AThreadState State,
- out bool Done)
- {
- Done = true;
- if (Type1 == FPType.SNaN)
- {
- return FPProcessNaN(Type1, Op1, State);
- }
- else if (Type2 == FPType.SNaN)
- {
- return FPProcessNaN(Type2, Op2, State);
- }
- else if (Type1 == FPType.QNaN)
- {
- return FPProcessNaN(Type1, Op1, State);
- }
- else if (Type2 == FPType.QNaN)
- {
- return FPProcessNaN(Type2, Op2, State);
- }
- Done = false;
- return FPZero(false);
- }
- private static float FPProcessNaNs3(
- FPType Type1,
- FPType Type2,
- FPType Type3,
- uint Op1,
- uint Op2,
- uint Op3,
- AThreadState State,
- out bool Done)
- {
- Done = true;
- if (Type1 == FPType.SNaN)
- {
- return FPProcessNaN(Type1, Op1, State);
- }
- else if (Type2 == FPType.SNaN)
- {
- return FPProcessNaN(Type2, Op2, State);
- }
- else if (Type3 == FPType.SNaN)
- {
- return FPProcessNaN(Type3, Op3, State);
- }
- else if (Type1 == FPType.QNaN)
- {
- return FPProcessNaN(Type1, Op1, State);
- }
- else if (Type2 == FPType.QNaN)
- {
- return FPProcessNaN(Type2, Op2, State);
- }
- else if (Type3 == FPType.QNaN)
- {
- return FPProcessNaN(Type3, Op3, State);
- }
- Done = false;
- return FPZero(false);
- }
- private static float FPProcessNaN(FPType Type, uint Op, AThreadState State)
- {
- const int DNBit = 25; // Default NaN mode control bit.
- if (Type == FPType.SNaN)
- {
- Op |= 1u << 22;
- FPProcessException(FPExc.InvalidOp, State);
- }
- if ((State.Fpcr & (1 << DNBit)) != 0)
- {
- return FPDefaultNaN();
- }
- return BitConverter.Int32BitsToSingle((int)Op);
- }
- private static void FPProcessException(FPExc Exc, AThreadState State)
- {
- int Enable = (int)Exc + 8;
- if ((State.Fpcr & (1 << Enable)) != 0)
- {
- throw new NotImplementedException("floating-point trap handling");
- }
- else
- {
- State.Fpsr |= 1 << (int)Exc;
- }
- }
- }
- static class ASoftFloat_64
- {
- public static double FPAdd(double Value1, double Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPAdd: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
- double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if (Inf1 && Inf2 && Sign1 == !Sign2)
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- else if ((Inf1 && !Sign1) || (Inf2 && !Sign2))
- {
- Result = FPInfinity(false);
- }
- else if ((Inf1 && Sign1) || (Inf2 && Sign2))
- {
- Result = FPInfinity(true);
- }
- else if (Zero1 && Zero2 && Sign1 == Sign2)
- {
- Result = FPZero(Sign1);
- }
- else
- {
- Result = Value1 + Value2;
- }
- }
- return Result;
- }
- public static double FPDiv(double Value1, double Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPDiv: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
- double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if ((Inf1 && Inf2) || (Zero1 && Zero2))
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- else if (Inf1 || Zero2)
- {
- Result = FPInfinity(Sign1 ^ Sign2);
- if (!Inf1) FPProcessException(FPExc.DivideByZero, State);
- }
- else if (Zero1 || Inf2)
- {
- Result = FPZero(Sign1 ^ Sign2);
- }
- else
- {
- Result = Value1 / Value2;
- }
- }
- return Result;
- }
- public static double FPMax(double Value1, double Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPMax: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
- double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- if (Value1 > Value2)
- {
- if (Type1 == FPType.Infinity)
- {
- Result = FPInfinity(Sign1);
- }
- else if (Type1 == FPType.Zero)
- {
- Result = FPZero(Sign1 && Sign2);
- }
- else
- {
- Result = Value1;
- }
- }
- else
- {
- if (Type2 == FPType.Infinity)
- {
- Result = FPInfinity(Sign2);
- }
- else if (Type2 == FPType.Zero)
- {
- Result = FPZero(Sign1 && Sign2);
- }
- else
- {
- Result = Value2;
- }
- }
- }
- return Result;
- }
- public static double FPMaxNum(double Value1, double Value2, AThreadState State)
- {
- Debug.WriteIf(State.Fpcr != 0, "ASoftFloat_64.FPMaxNum: ");
- Value1.FPUnpack(out FPType Type1, out _, out _);
- Value2.FPUnpack(out FPType Type2, out _, out _);
- if (Type1 == FPType.QNaN && Type2 != FPType.QNaN)
- {
- Value1 = FPInfinity(true);
- }
- else if (Type1 != FPType.QNaN && Type2 == FPType.QNaN)
- {
- Value2 = FPInfinity(true);
- }
- return FPMax(Value1, Value2, State);
- }
- public static double FPMin(double Value1, double Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPMin: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
- double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- if (Value1 < Value2)
- {
- if (Type1 == FPType.Infinity)
- {
- Result = FPInfinity(Sign1);
- }
- else if (Type1 == FPType.Zero)
- {
- Result = FPZero(Sign1 || Sign2);
- }
- else
- {
- Result = Value1;
- }
- }
- else
- {
- if (Type2 == FPType.Infinity)
- {
- Result = FPInfinity(Sign2);
- }
- else if (Type2 == FPType.Zero)
- {
- Result = FPZero(Sign1 || Sign2);
- }
- else
- {
- Result = Value2;
- }
- }
- }
- return Result;
- }
- public static double FPMinNum(double Value1, double Value2, AThreadState State)
- {
- Debug.WriteIf(State.Fpcr != 0, "ASoftFloat_64.FPMinNum: ");
- Value1.FPUnpack(out FPType Type1, out _, out _);
- Value2.FPUnpack(out FPType Type2, out _, out _);
- if (Type1 == FPType.QNaN && Type2 != FPType.QNaN)
- {
- Value1 = FPInfinity(false);
- }
- else if (Type1 != FPType.QNaN && Type2 == FPType.QNaN)
- {
- Value2 = FPInfinity(false);
- }
- return FPMin(Value1, Value2, State);
- }
- public static double FPMul(double Value1, double Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPMul: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
- double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if ((Inf1 && Zero2) || (Zero1 && Inf2))
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- else if (Inf1 || Inf2)
- {
- Result = FPInfinity(Sign1 ^ Sign2);
- }
- else if (Zero1 || Zero2)
- {
- Result = FPZero(Sign1 ^ Sign2);
- }
- else
- {
- Result = Value1 * Value2;
- }
- }
- return Result;
- }
- public static double FPMulAdd(double ValueA, double Value1, double Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPMulAdd: State.Fpcr = 0x{State.Fpcr:X8}");
- ValueA = ValueA.FPUnpack(out FPType TypeA, out bool SignA, out ulong Addend);
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- double Result = FPProcessNaNs3(TypeA, Type1, Type2, Addend, Op1, Op2, State, out bool Done);
- if (TypeA == FPType.QNaN && ((Inf1 && Zero2) || (Zero1 && Inf2)))
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- if (!Done)
- {
- bool InfA = TypeA == FPType.Infinity; bool ZeroA = TypeA == FPType.Zero;
- bool SignP = Sign1 ^ Sign2;
- bool InfP = Inf1 || Inf2;
- bool ZeroP = Zero1 || Zero2;
- if ((Inf1 && Zero2) || (Zero1 && Inf2) || (InfA && InfP && SignA != SignP))
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- else if ((InfA && !SignA) || (InfP && !SignP))
- {
- Result = FPInfinity(false);
- }
- else if ((InfA && SignA) || (InfP && SignP))
- {
- Result = FPInfinity(true);
- }
- else if (ZeroA && ZeroP && SignA == SignP)
- {
- Result = FPZero(SignA);
- }
- else
- {
- // TODO: When available, use: T Math.FusedMultiplyAdd(T, T, T);
- // https://github.com/dotnet/corefx/issues/31903
- Result = ValueA + (Value1 * Value2);
- }
- }
- return Result;
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- public static double FPMulSub(double ValueA, double Value1, double Value2, AThreadState State)
- {
- Debug.WriteIf(State.Fpcr != 0, "ASoftFloat_64.FPMulSub: ");
- Value1 = Value1.FPNeg();
- return FPMulAdd(ValueA, Value1, Value2, State);
- }
- public static double FPMulX(double Value1, double Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPMulX: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
- double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if ((Inf1 && Zero2) || (Zero1 && Inf2))
- {
- Result = FPTwo(Sign1 ^ Sign2);
- }
- else if (Inf1 || Inf2)
- {
- Result = FPInfinity(Sign1 ^ Sign2);
- }
- else if (Zero1 || Zero2)
- {
- Result = FPZero(Sign1 ^ Sign2);
- }
- else
- {
- Result = Value1 * Value2;
- }
- }
- return Result;
- }
- public static double FPRecipStepFused(double Value1, double Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPRecipStepFused: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPNeg();
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
- double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if ((Inf1 && Zero2) || (Zero1 && Inf2))
- {
- Result = FPTwo(false);
- }
- else if (Inf1 || Inf2)
- {
- Result = FPInfinity(Sign1 ^ Sign2);
- }
- else
- {
- // TODO: When available, use: T Math.FusedMultiplyAdd(T, T, T);
- // https://github.com/dotnet/corefx/issues/31903
- Result = 2d + (Value1 * Value2);
- }
- }
- return Result;
- }
- public static double FPRecpX(double Value, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPRecpX: State.Fpcr = 0x{State.Fpcr:X8}");
- Value.FPUnpack(out FPType Type, out bool Sign, out ulong Op);
- double Result;
- if (Type == FPType.SNaN || Type == FPType.QNaN)
- {
- Result = FPProcessNaN(Type, Op, State);
- }
- else
- {
- ulong NotExp = (~Op >> 52) & 0x7FFul;
- ulong MaxExp = 0x7FEul;
- Result = BitConverter.Int64BitsToDouble(
- (long)((Sign ? 1ul : 0ul) << 63 | (NotExp == 0x7FFul ? MaxExp : NotExp) << 52));
- }
- return Result;
- }
- public static double FPRSqrtStepFused(double Value1, double Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPRSqrtStepFused: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPNeg();
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
- double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if ((Inf1 && Zero2) || (Zero1 && Inf2))
- {
- Result = FPOnePointFive(false);
- }
- else if (Inf1 || Inf2)
- {
- Result = FPInfinity(Sign1 ^ Sign2);
- }
- else
- {
- // TODO: When available, use: T Math.FusedMultiplyAdd(T, T, T);
- // https://github.com/dotnet/corefx/issues/31903
- Result = (3d + (Value1 * Value2)) / 2d;
- }
- }
- return Result;
- }
- public static double FPSqrt(double Value, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPSqrt: State.Fpcr = 0x{State.Fpcr:X8}");
- Value = Value.FPUnpack(out FPType Type, out bool Sign, out ulong Op);
- double Result;
- if (Type == FPType.SNaN || Type == FPType.QNaN)
- {
- Result = FPProcessNaN(Type, Op, State);
- }
- else if (Type == FPType.Zero)
- {
- Result = FPZero(Sign);
- }
- else if (Type == FPType.Infinity && !Sign)
- {
- Result = FPInfinity(Sign);
- }
- else if (Sign)
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- else
- {
- Result = Math.Sqrt(Value);
- }
- return Result;
- }
- public static double FPSub(double Value1, double Value2, AThreadState State)
- {
- Debug.WriteLineIf(State.Fpcr != 0, $"ASoftFloat_64.FPSub: State.Fpcr = 0x{State.Fpcr:X8}");
- Value1 = Value1.FPUnpack(out FPType Type1, out bool Sign1, out ulong Op1);
- Value2 = Value2.FPUnpack(out FPType Type2, out bool Sign2, out ulong Op2);
- double Result = FPProcessNaNs(Type1, Type2, Op1, Op2, State, out bool Done);
- if (!Done)
- {
- bool Inf1 = Type1 == FPType.Infinity; bool Zero1 = Type1 == FPType.Zero;
- bool Inf2 = Type2 == FPType.Infinity; bool Zero2 = Type2 == FPType.Zero;
- if (Inf1 && Inf2 && Sign1 == Sign2)
- {
- Result = FPDefaultNaN();
- FPProcessException(FPExc.InvalidOp, State);
- }
- else if ((Inf1 && !Sign1) || (Inf2 && Sign2))
- {
- Result = FPInfinity(false);
- }
- else if ((Inf1 && Sign1) || (Inf2 && !Sign2))
- {
- Result = FPInfinity(true);
- }
- else if (Zero1 && Zero2 && Sign1 == !Sign2)
- {
- Result = FPZero(Sign1);
- }
- else
- {
- Result = Value1 - Value2;
- }
- }
- return Result;
- }
- private enum FPType
- {
- Nonzero,
- Zero,
- Infinity,
- QNaN,
- SNaN
- }
- private enum FPExc
- {
- InvalidOp,
- DivideByZero,
- Overflow,
- Underflow,
- Inexact,
- InputDenorm = 7
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- private static double FPDefaultNaN()
- {
- return -double.NaN;
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- private static double FPInfinity(bool Sign)
- {
- return Sign ? double.NegativeInfinity : double.PositiveInfinity;
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- private static double FPZero(bool Sign)
- {
- return Sign ? -0d : +0d;
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- private static double FPTwo(bool Sign)
- {
- return Sign ? -2d : +2d;
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- private static double FPOnePointFive(bool Sign)
- {
- return Sign ? -1.5d : +1.5d;
- }
- [MethodImpl(MethodImplOptions.AggressiveInlining)]
- private static double FPNeg(this double Value)
- {
- return -Value;
- }
- private static double FPUnpack(this double Value, out FPType Type, out bool Sign, out ulong ValueBits)
- {
- ValueBits = (ulong)BitConverter.DoubleToInt64Bits(Value);
- Sign = (~ValueBits & 0x8000000000000000ul) == 0ul;
- if ((ValueBits & 0x7FF0000000000000ul) == 0ul)
- {
- if ((ValueBits & 0x000FFFFFFFFFFFFFul) == 0ul)
- {
- Type = FPType.Zero;
- }
- else
- {
- Type = FPType.Nonzero;
- }
- }
- else if ((~ValueBits & 0x7FF0000000000000ul) == 0ul)
- {
- if ((ValueBits & 0x000FFFFFFFFFFFFFul) == 0ul)
- {
- Type = FPType.Infinity;
- }
- else
- {
- Type = (~ValueBits & 0x0008000000000000ul) == 0ul
- ? FPType.QNaN
- : FPType.SNaN;
- return FPZero(Sign);
- }
- }
- else
- {
- Type = FPType.Nonzero;
- }
- return Value;
- }
- private static double FPProcessNaNs(
- FPType Type1,
- FPType Type2,
- ulong Op1,
- ulong Op2,
- AThreadState State,
- out bool Done)
- {
- Done = true;
- if (Type1 == FPType.SNaN)
- {
- return FPProcessNaN(Type1, Op1, State);
- }
- else if (Type2 == FPType.SNaN)
- {
- return FPProcessNaN(Type2, Op2, State);
- }
- else if (Type1 == FPType.QNaN)
- {
- return FPProcessNaN(Type1, Op1, State);
- }
- else if (Type2 == FPType.QNaN)
- {
- return FPProcessNaN(Type2, Op2, State);
- }
- Done = false;
- return FPZero(false);
- }
- private static double FPProcessNaNs3(
- FPType Type1,
- FPType Type2,
- FPType Type3,
- ulong Op1,
- ulong Op2,
- ulong Op3,
- AThreadState State,
- out bool Done)
- {
- Done = true;
- if (Type1 == FPType.SNaN)
- {
- return FPProcessNaN(Type1, Op1, State);
- }
- else if (Type2 == FPType.SNaN)
- {
- return FPProcessNaN(Type2, Op2, State);
- }
- else if (Type3 == FPType.SNaN)
- {
- return FPProcessNaN(Type3, Op3, State);
- }
- else if (Type1 == FPType.QNaN)
- {
- return FPProcessNaN(Type1, Op1, State);
- }
- else if (Type2 == FPType.QNaN)
- {
- return FPProcessNaN(Type2, Op2, State);
- }
- else if (Type3 == FPType.QNaN)
- {
- return FPProcessNaN(Type3, Op3, State);
- }
- Done = false;
- return FPZero(false);
- }
- private static double FPProcessNaN(FPType Type, ulong Op, AThreadState State)
- {
- const int DNBit = 25; // Default NaN mode control bit.
- if (Type == FPType.SNaN)
- {
- Op |= 1ul << 51;
- FPProcessException(FPExc.InvalidOp, State);
- }
- if ((State.Fpcr & (1 << DNBit)) != 0)
- {
- return FPDefaultNaN();
- }
- return BitConverter.Int64BitsToDouble((long)Op);
- }
- private static void FPProcessException(FPExc Exc, AThreadState State)
- {
- int Enable = (int)Exc + 8;
- if ((State.Fpcr & (1 << Enable)) != 0)
- {
- throw new NotImplementedException("floating-point trap handling");
- }
- else
- {
- State.Fpsr |= 1 << (int)Exc;
- }
- }
- }
- }
|