| // 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 // http://oeis.org/A001113 |
| Pi = 3.14159265358979323846264338327950288419716939937510582097494459 // http://oeis.org/A000796 |
| Phi = 1.61803398874989484820458683436563811772030917980576286213544862 // http://oeis.org/A001622 |
| |
| Sqrt2 = 1.41421356237309504880168872420969807856967187537694807317667974 // http://oeis.org/A002193 |
| SqrtE = 1.64872127070012814684865078781416357165377610071014801157507931 // http://oeis.org/A019774 |
| SqrtPi = 1.77245385090551602729816748334114518279754945612238712821380779 // http://oeis.org/A002161 |
| SqrtPhi = 1.27201964951406896425242246173749149171560804184009624861664038 // http://oeis.org/A139339 |
| |
| Ln2 = 0.693147180559945309417232121458176568075500134360255254120680009 // http://oeis.org/A002162 |
| Log2E = 1 / Ln2 |
| Ln10 = 2.30258509299404568401799145468436420760110148862877297603332790 // http://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 = 3.40282346638528859811704183484516925440e+38 // 2**127 * (2**24 - 1) / 2**23 |
| SmallestNonzeroFloat32 = 1.401298464324817070923729583289916131280e-45 // 1 / 2**(127 - 1 + 23) |
| |
| MaxFloat64 = 1.797693134862315708145274237317043567981e+308 // 2**1023 * (2**53 - 1) / 2**52 |
| SmallestNonzeroFloat64 = 4.940656458412465441765687928682213723651e-324 // 1 / 2**(1023 - 1 + 52) |
| ) |
| |
| // Integer limit values. |
| const ( |
| MaxInt8 = 1<<7 - 1 |
| MinInt8 = -1 << 7 |
| MaxInt16 = 1<<15 - 1 |
| MinInt16 = -1 << 15 |
| MaxInt32 = 1<<31 - 1 |
| MinInt32 = -1 << 31 |
| MaxInt64 = 1<<63 - 1 |
| MinInt64 = -1 << 63 |
| MaxUint8 = 1<<8 - 1 |
| MaxUint16 = 1<<16 - 1 |
| MaxUint32 = 1<<32 - 1 |
| MaxUint64 = 1<<64 - 1 |
| ) |