const.mx raw

   1  // Copyright 2009 The Go Authors. All rights reserved.
   2  // Use of this source code is governed by a BSD-style
   3  // license that can be found in the LICENSE file.
   4  
   5  // Package math provides basic constants and mathematical functions.
   6  //
   7  // This package does not guarantee bit-identical results across architectures.
   8  package math
   9  
  10  // Mathematical constants.
  11  const (
  12  	E   = 2.71828182845904523536028747135266249775724709369995957496696763 // https://oeis.org/A001113
  13  	Pi  = 3.14159265358979323846264338327950288419716939937510582097494459 // https://oeis.org/A000796
  14  	Phi = 1.61803398874989484820458683436563811772030917980576286213544862 // https://oeis.org/A001622
  15  
  16  	Sqrt2   = 1.41421356237309504880168872420969807856967187537694807317667974 // https://oeis.org/A002193
  17  	SqrtE   = 1.64872127070012814684865078781416357165377610071014801157507931 // https://oeis.org/A019774
  18  	SqrtPi  = 1.77245385090551602729816748334114518279754945612238712821380779 // https://oeis.org/A002161
  19  	SqrtPhi = 1.27201964951406896425242246173749149171560804184009624861664038 // https://oeis.org/A139339
  20  
  21  	Ln2    = 0.693147180559945309417232121458176568075500134360255254120680009 // https://oeis.org/A002162
  22  	Log2E  = 1 / Ln2
  23  	Ln10   = 2.30258509299404568401799145468436420760110148862877297603332790 // https://oeis.org/A002392
  24  	Log10E = 1 / Ln10
  25  )
  26  
  27  // Floating-point limit values.
  28  // Max is the largest finite value representable by the type.
  29  // SmallestNonzero is the smallest positive, non-zero value representable by the type.
  30  const (
  31  	MaxFloat32             = 0x1p127 * (1 + (1 - 0x1p-23)) // 3.40282346638528859811704183484516925440e+38
  32  	SmallestNonzeroFloat32 = 0x1p-126 * 0x1p-23            // 1.401298464324817070923729583289916131280e-45
  33  
  34  	MaxFloat64             = 0x1p1023 * (1 + (1 - 0x1p-52)) // 1.79769313486231570814527423731704356798070e+308
  35  	SmallestNonzeroFloat64 = 0x1p-1022 * 0x1p-52            // 4.9406564584124654417656879286822137236505980e-324
  36  )
  37  
  38  // Integer limit values.
  39  const (
  40  	intSize = 32 << (^uint(0) >> 63) // 32 or 64
  41  
  42  	MaxInt    = 1<<(intSize-1) - 1  // MaxInt32 or MaxInt64 depending on intSize.
  43  	MinInt    = -1 << (intSize - 1) // MinInt32 or MinInt64 depending on intSize.
  44  	MaxInt8   = 1<<7 - 1            // 127
  45  	MinInt8   = -1 << 7             // -128
  46  	MaxInt16  = 1<<15 - 1           // 32767
  47  	MinInt16  = -1 << 15            // -32768
  48  	MaxInt32  = 1<<31 - 1           // 2147483647
  49  	MinInt32  = -1 << 31            // -2147483648
  50  	MaxInt64  = 1<<63 - 1           // 9223372036854775807
  51  	MinInt64  = -1 << 63            // -9223372036854775808
  52  	MaxUint   = 1<<intSize - 1      // MaxUint32 or MaxUint64 depending on intSize.
  53  	MaxUint8  = 1<<8 - 1            // 255
  54  	MaxUint16 = 1<<16 - 1           // 65535
  55  	MaxUint32 = 1<<32 - 1           // 4294967295
  56  	MaxUint64 = 1<<64 - 1           // 18446744073709551615
  57  )
  58