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