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// Copyright 2009 The Go Authors. All rights reserved. // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. // Package math provides basic constants and mathematical functions. // // This package does not guarantee bit-identical results across architectures. package math // Mathematical constants. const ( E = 2.71828182845904523536028747135266249775724709369995957496696763 // https://oeis.org/A001113 Pi = 3.14159265358979323846264338327950288419716939937510582097494459 // https://oeis.org/A000796 Phi = 1.61803398874989484820458683436563811772030917980576286213544862 // https://oeis.org/A001622 Sqrt2 = 1.41421356237309504880168872420969807856967187537694807317667974 // https://oeis.org/A002193 SqrtE = 1.64872127070012814684865078781416357165377610071014801157507931 // https://oeis.org/A019774 SqrtPi = 1.77245385090551602729816748334114518279754945612238712821380779 // https://oeis.org/A002161 SqrtPhi = 1.27201964951406896425242246173749149171560804184009624861664038 // https://oeis.org/A139339 Ln2 = 0.693147180559945309417232121458176568075500134360255254120680009 // https://oeis.org/A002162 Log2E = 1 / Ln2 Ln10 = 2.30258509299404568401799145468436420760110148862877297603332790 // https://oeis.org/A002392 Log10E = 1 / Ln10 ) // Floating-point limit values. // Max is the largest finite value representable by the type. // SmallestNonzero is the smallest positive, non-zero value representable by the type. const ( MaxFloat32 = 0x1p127 * (1 + (1 - 0x1p-23)) // 3.40282346638528859811704183484516925440e+38 SmallestNonzeroFloat32 = 0x1p-126 * 0x1p-23 // 1.401298464324817070923729583289916131280e-45 MaxFloat64 = 0x1p1023 * (1 + (1 - 0x1p-52)) // 1.79769313486231570814527423731704356798070e+308 SmallestNonzeroFloat64 = 0x1p-1022 * 0x1p-52 // 4.9406564584124654417656879286822137236505980e-324 ) // Integer limit values. const ( intSize = 32 << (^uint(0) >> 63) // 32 or 64 MaxInt = 1<<(intSize-1) - 1 // MaxInt32 or MaxInt64 depending on intSize. MinInt = -1 << (intSize - 1) // MinInt32 or MinInt64 depending on intSize. MaxInt8 = 1<<7 - 1 // 127 MinInt8 = -1 << 7 // -128 MaxInt16 = 1<<15 - 1 // 32767 MinInt16 = -1 << 15 // -32768 MaxInt32 = 1<<31 - 1 // 2147483647 MinInt32 = -1 << 31 // -2147483648 MaxInt64 = 1<<63 - 1 // 9223372036854775807 MinInt64 = -1 << 63 // -9223372036854775808 MaxUint = 1<<intSize - 1 // MaxUint32 or MaxUint64 depending on intSize. MaxUint8 = 1<<8 - 1 // 255 MaxUint16 = 1<<16 - 1 // 65535 MaxUint32 = 1<<32 - 1 // 4294967295 MaxUint64 = 1<<64 - 1 // 18446744073709551615 )