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Diffstat (limited to 'src/mscorlib/src/System/Math.cs')
| -rw-r--r-- | src/mscorlib/src/System/Math.cs | 593 |
1 files changed, 593 insertions, 0 deletions
diff --git a/src/mscorlib/src/System/Math.cs b/src/mscorlib/src/System/Math.cs new file mode 100644 index 0000000000..063c2cb928 --- /dev/null +++ b/src/mscorlib/src/System/Math.cs @@ -0,0 +1,593 @@ +// Copyright (c) Microsoft. All rights reserved. +// Licensed under the MIT license. See LICENSE file in the project root for full license information. + +/*============================================================ +** +** +** +** Purpose: Some floating-point math operations +** +** +===========================================================*/ +namespace System { + + //This class contains only static members and doesn't require serialization. + using System; + using System.Runtime; + using System.Runtime.CompilerServices; + using System.Runtime.ConstrainedExecution; + using System.Runtime.Versioning; + using System.Diagnostics.Contracts; + + public static class Math { + + private static double doubleRoundLimit = 1e16d; + + private const int maxRoundingDigits = 15; + + // This table is required for the Round function which can specify the number of digits to round to + private static double[] roundPower10Double = new double[] { + 1E0, 1E1, 1E2, 1E3, 1E4, 1E5, 1E6, 1E7, 1E8, + 1E9, 1E10, 1E11, 1E12, 1E13, 1E14, 1E15 + }; + + public const double PI = 3.14159265358979323846; + public const double E = 2.7182818284590452354; + + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Acos(double d); + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Asin(double d); + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Atan(double d); + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Atan2(double y,double x); + + public static Decimal Ceiling(Decimal d) { + return Decimal.Ceiling(d); + } + + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Ceiling(double a); + + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Cos (double d); + + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Cosh(double value); + + public static Decimal Floor(Decimal d) { + return Decimal.Floor(d); + } + + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Floor(double d); + + [System.Security.SecuritySafeCritical] // auto-generated + private static unsafe double InternalRound(double value, int digits, MidpointRounding mode) { + if (Abs(value) < doubleRoundLimit) { + Double power10 = roundPower10Double[digits]; + value *= power10; + if (mode == MidpointRounding.AwayFromZero) { + double fraction = SplitFractionDouble(&value); + if (Abs(fraction) >= 0.5d) { + value += Sign(fraction); + } + } + else { + // On X86 this can be inlined to just a few instructions + value = Round(value); + } + value /= power10; + } + return value; + } + + [System.Security.SecuritySafeCritical] // auto-generated + private unsafe static double InternalTruncate(double d) { + SplitFractionDouble(&d); + return d; + } + + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Sin(double a); + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Tan(double a); + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Sinh(double value); + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Tanh(double value); + + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Round(double a); + + public static double Round(double value, int digits) + { + if ((digits < 0) || (digits > maxRoundingDigits)) + throw new ArgumentOutOfRangeException("digits", Environment.GetResourceString("ArgumentOutOfRange_RoundingDigits")); + Contract.EndContractBlock(); + return InternalRound(value, digits, MidpointRounding.ToEven); + } + + public static double Round(double value, MidpointRounding mode) { + return Round(value, 0, mode); + } + + public static double Round(double value, int digits, MidpointRounding mode) { + if ((digits < 0) || (digits > maxRoundingDigits)) + throw new ArgumentOutOfRangeException("digits", Environment.GetResourceString("ArgumentOutOfRange_RoundingDigits")); + if (mode < MidpointRounding.ToEven || mode > MidpointRounding.AwayFromZero) { + throw new ArgumentException(Environment.GetResourceString("Argument_InvalidEnumValue", mode, "MidpointRounding"), "mode"); + } + Contract.EndContractBlock(); + return InternalRound(value, digits, mode); + } + + public static Decimal Round(Decimal d) { + return Decimal.Round(d,0); + } + + public static Decimal Round(Decimal d, int decimals) { + return Decimal.Round(d,decimals); + } + + public static Decimal Round(Decimal d, MidpointRounding mode) { + return Decimal.Round(d, 0, mode); + } + + public static Decimal Round(Decimal d, int decimals, MidpointRounding mode) { + return Decimal.Round(d, decimals, mode); + } + + [System.Security.SecurityCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + private static unsafe extern double SplitFractionDouble(double* value); + + public static Decimal Truncate(Decimal d) { + return Decimal.Truncate(d); + } + + public static double Truncate(double d) { + return InternalTruncate(d); + } + + [System.Security.SecuritySafeCritical] // auto-generated + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Sqrt(double d); + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Log (double d); + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Log10(double d); + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Exp(double d); + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + public static extern double Pow(double x, double y); + + public static double IEEERemainder(double x, double y) { + if (Double.IsNaN(x)) { + return x; // IEEE 754-2008: NaN payload must be preserved + } + if (Double.IsNaN(y)) { + return y; // IEEE 754-2008: NaN payload must be preserved + } + + double regularMod = x % y; + if (Double.IsNaN(regularMod)) { + return Double.NaN; + } + if (regularMod == 0) { + if (Double.IsNegative(x)) { + return Double.NegativeZero; + } + } + double alternativeResult; + alternativeResult = regularMod - (Math.Abs(y) * Math.Sign(x)); + if (Math.Abs(alternativeResult) == Math.Abs(regularMod)) { + double divisionResult = x/y; + double roundedResult = Math.Round(divisionResult); + if (Math.Abs(roundedResult) > Math.Abs(divisionResult)) { + return alternativeResult; + } + else { + return regularMod; + } + } + if (Math.Abs(alternativeResult) < Math.Abs(regularMod)) { + return alternativeResult; + } + else { + return regularMod; + } + } + + /*================================Abs========================================= + **Returns the absolute value of it's argument. + ============================================================================*/ + [CLSCompliant(false)] + public static sbyte Abs(sbyte value) { + if (value >= 0) + return value; + else + return AbsHelper(value); + } + + private static sbyte AbsHelper(sbyte value) + { + Contract.Requires(value < 0, "AbsHelper should only be called for negative values! (workaround for JIT inlining)"); + if (value == SByte.MinValue) + throw new OverflowException(Environment.GetResourceString("Overflow_NegateTwosCompNum")); + Contract.EndContractBlock(); + return ((sbyte)(-value)); + } + + public static short Abs(short value) { + if (value >= 0) + return value; + else + return AbsHelper(value); + } + + private static short AbsHelper(short value) { + Contract.Requires(value < 0, "AbsHelper should only be called for negative values! (workaround for JIT inlining)"); + if (value == Int16.MinValue) + throw new OverflowException(Environment.GetResourceString("Overflow_NegateTwosCompNum")); + Contract.EndContractBlock(); + return (short) -value; + } + + public static int Abs(int value) { + if (value >= 0) + return value; + else + return AbsHelper(value); + } + + private static int AbsHelper(int value) { + Contract.Requires(value < 0, "AbsHelper should only be called for negative values! (workaround for JIT inlining)"); + if (value == Int32.MinValue) + throw new OverflowException(Environment.GetResourceString("Overflow_NegateTwosCompNum")); + Contract.EndContractBlock(); + return -value; + } + + public static long Abs(long value) { + if (value >= 0) + return value; + else + return AbsHelper(value); + } + + private static long AbsHelper(long value) { + Contract.Requires(value < 0, "AbsHelper should only be called for negative values! (workaround for JIT inlining)"); + if (value == Int64.MinValue) + throw new OverflowException(Environment.GetResourceString("Overflow_NegateTwosCompNum")); + Contract.EndContractBlock(); + return -value; + } + + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + extern public static float Abs(float value); + // This is special code to handle NaN (We need to make sure NaN's aren't + // negated). In CSharp, the else clause here should always be taken if + // value is NaN, since the normal case is taken if and only if value < 0. + // To illustrate this completely, a compiler has translated this into: + // "load value; load 0; bge; ret -value ; ret value". + // The bge command branches for comparisons with the unordered NaN. So + // it runs the else case, which returns +value instead of negating it. + // return (value < 0) ? -value : value; + + [System.Security.SecuritySafeCritical] // auto-generated + [MethodImplAttribute(MethodImplOptions.InternalCall)] + extern public static double Abs(double value); + // This is special code to handle NaN (We need to make sure NaN's aren't + // negated). In CSharp, the else clause here should always be taken if + // value is NaN, since the normal case is taken if and only if value < 0. + // To illustrate this completely, a compiler has translated this into: + // "load value; load 0; bge; ret -value ; ret value". + // The bge command branches for comparisons with the unordered NaN. So + // it runs the else case, which returns +value instead of negating it. + // return (value < 0) ? -value : value; + + public static Decimal Abs(Decimal value) + { + return Decimal.Abs(value); + } + + /*================================MAX========================================= + **Returns the larger of val1 and val2 + ============================================================================*/ + [CLSCompliant(false)] + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static sbyte Max(sbyte val1, sbyte val2) { + return (val1>=val2)?val1:val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static byte Max(byte val1, byte val2) { + return (val1>=val2)?val1:val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static short Max(short val1, short val2) { + return (val1>=val2)?val1:val2; + } + + [CLSCompliant(false)] + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static ushort Max(ushort val1, ushort val2) { + return (val1>=val2)?val1:val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static int Max(int val1, int val2) { + return (val1>=val2)?val1:val2; + } + + [CLSCompliant(false)] + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static uint Max(uint val1, uint val2) { + return (val1>=val2)?val1:val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static long Max(long val1, long val2) { + return (val1>=val2)?val1:val2; + } + + [CLSCompliant(false)] + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static ulong Max(ulong val1, ulong val2) { + return (val1>=val2)?val1:val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + public static float Max(float val1, float val2) { + if (val1 > val2) + return val1; + + if (Single.IsNaN(val1)) + return val1; + + return val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + public static double Max(double val1, double val2) { + if (val1 > val2) + return val1; + + if (Double.IsNaN(val1)) + return val1; + + return val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + public static Decimal Max(Decimal val1, Decimal val2) { + return Decimal.Max(val1,val2); + } + + /*================================MIN========================================= + **Returns the smaller of val1 and val2. + ============================================================================*/ + [CLSCompliant(false)] + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static sbyte Min(sbyte val1, sbyte val2) { + return (val1<=val2)?val1:val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static byte Min(byte val1, byte val2) { + return (val1<=val2)?val1:val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static short Min(short val1, short val2) { + return (val1<=val2)?val1:val2; + } + + [CLSCompliant(false)] + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static ushort Min(ushort val1, ushort val2) { + return (val1<=val2)?val1:val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static int Min(int val1, int val2) { + return (val1<=val2)?val1:val2; + } + + [CLSCompliant(false)] + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static uint Min(uint val1, uint val2) { + return (val1<=val2)?val1:val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static long Min(long val1, long val2) { + return (val1<=val2)?val1:val2; + } + + [CLSCompliant(false)] + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + [System.Runtime.Versioning.NonVersionable] + public static ulong Min(ulong val1, ulong val2) { + return (val1<=val2)?val1:val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + public static float Min(float val1, float val2) { + if (val1 < val2) + return val1; + + if (Single.IsNaN(val1)) + return val1; + + return val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + public static double Min(double val1, double val2) { + if (val1 < val2) + return val1; + + if (Double.IsNaN(val1)) + return val1; + + return val2; + } + + [ReliabilityContract(Consistency.WillNotCorruptState, Cer.Success)] + public static Decimal Min(Decimal val1, Decimal val2) { + return Decimal.Min(val1,val2); + } + + /*=====================================Log====================================== + ** + ==============================================================================*/ + public static double Log(double a, double newBase) { + if (Double.IsNaN(a)) { + return a; // IEEE 754-2008: NaN payload must be preserved + } + if (Double.IsNaN(newBase)) { + return newBase; // IEEE 754-2008: NaN payload must be preserved + } + + if (newBase == 1) + return Double.NaN; + if (a != 1 && (newBase == 0 || Double.IsPositiveInfinity(newBase))) + return Double.NaN; + + return (Log(a)/Log(newBase)); + } + + + // Sign function for VB. Returns -1, 0, or 1 if the sign of the number + // is negative, 0, or positive. Throws for floating point NaN's. + [CLSCompliant(false)] + public static int Sign(sbyte value) + { + if (value < 0) + return -1; + else if (value > 0) + return 1; + else + return 0; + } + + + // Sign function for VB. Returns -1, 0, or 1 if the sign of the number + // is negative, 0, or positive. Throws for floating point NaN's. + public static int Sign(short value) + { + if (value < 0) + return -1; + else if (value > 0) + return 1; + else + return 0; + } + + // Sign function for VB. Returns -1, 0, or 1 if the sign of the number + // is negative, 0, or positive. Throws for floating point NaN's. + public static int Sign(int value) + { + if (value < 0) + return -1; + else if (value > 0) + return 1; + else + return 0; + } + + public static int Sign(long value) + { + if (value < 0) + return -1; + else if (value > 0) + return 1; + else + return 0; + } + + public static int Sign (float value) + { + if (value < 0) + return -1; + else if (value > 0) + return 1; + else if (value == 0) + return 0; + throw new ArithmeticException(Environment.GetResourceString("Arithmetic_NaN")); + } + + public static int Sign(double value) + { + if (value < 0) + return -1; + else if (value > 0) + return 1; + else if (value == 0) + return 0; + throw new ArithmeticException(Environment.GetResourceString("Arithmetic_NaN")); + } + + public static int Sign(Decimal value) + { + if (value < 0) + return -1; + else if (value > 0) + return 1; + else + return 0; + } + + public static long BigMul(int a, int b) { + return ((long)a) * b; + } + + public static int DivRem(int a, int b, out int result) { + result = a%b; + return a/b; + } + + public static long DivRem(long a, long b, out long result) { + result = a%b; + return a/b; + } + } +} |