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      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 package math
      7 
      8 // Mathematical constants.
      9 const (
     10 	E   = 2.71828182845904523536028747135266249775724709369995957496696763 // http://oeis.org/A001113
     11 	Pi  = 3.14159265358979323846264338327950288419716939937510582097494459 // http://oeis.org/A000796
     12 	Phi = 1.61803398874989484820458683436563811772030917980576286213544862 // http://oeis.org/A001622
     13 
     14 	Sqrt2   = 1.41421356237309504880168872420969807856967187537694807317667974 // http://oeis.org/A002193
     15 	SqrtE   = 1.64872127070012814684865078781416357165377610071014801157507931 // http://oeis.org/A019774
     16 	SqrtPi  = 1.77245385090551602729816748334114518279754945612238712821380779 // http://oeis.org/A002161
     17 	SqrtPhi = 1.27201964951406896425242246173749149171560804184009624861664038 // http://oeis.org/A139339
     18 
     19 	Ln2    = 0.693147180559945309417232121458176568075500134360255254120680009 // http://oeis.org/A002162
     20 	Log2E  = 1 / Ln2
     21 	Ln10   = 2.30258509299404568401799145468436420760110148862877297603332790 // http://oeis.org/A002392
     22 	Log10E = 1 / Ln10
     23 )
     24 
     25 // Floating-point limit values.
     26 // Max is the largest finite value representable by the type.
     27 // SmallestNonzero is the smallest positive, non-zero value representable by the type.
     28 const (
     29 	MaxFloat32             = 3.40282346638528859811704183484516925440e+38  // 2**127 * (2**24 - 1) / 2**23
     30 	SmallestNonzeroFloat32 = 1.401298464324817070923729583289916131280e-45 // 1 / 2**(127 - 1 + 23)
     31 
     32 	MaxFloat64             = 1.797693134862315708145274237317043567981e+308 // 2**1023 * (2**53 - 1) / 2**52
     33 	SmallestNonzeroFloat64 = 4.940656458412465441765687928682213723651e-324 // 1 / 2**(1023 - 1 + 52)
     34 )
     35 
     36 // Integer limit values.
     37 const (
     38 	MaxInt8   = 1<<7 - 1
     39 	MinInt8   = -1 << 7
     40 	MaxInt16  = 1<<15 - 1
     41 	MinInt16  = -1 << 15
     42 	MaxInt32  = 1<<31 - 1
     43 	MinInt32  = -1 << 31
     44 	MaxInt64  = 1<<63 - 1
     45 	MinInt64  = -1 << 63
     46 	MaxUint8  = 1<<8 - 1
     47 	MaxUint16 = 1<<16 - 1
     48 	MaxUint32 = 1<<32 - 1
     49 	MaxUint64 = 1<<64 - 1
     50 )
     51