2012-03-27 23:13:14 +00:00
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// Copyright 2009 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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// Package math provides basic constants and mathematical functions.
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2018-12-28 15:30:48 +00:00
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//
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// This package does not guarantee bit-identical results across architectures.
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2012-03-27 23:13:14 +00:00
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package math
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// Mathematical constants.
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const (
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E = 2.71828182845904523536028747135266249775724709369995957496696763 // https://oeis.org/A001113
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Pi = 3.14159265358979323846264338327950288419716939937510582097494459 // https://oeis.org/A000796
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Phi = 1.61803398874989484820458683436563811772030917980576286213544862 // https://oeis.org/A001622
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Sqrt2 = 1.41421356237309504880168872420969807856967187537694807317667974 // https://oeis.org/A002193
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SqrtE = 1.64872127070012814684865078781416357165377610071014801157507931 // https://oeis.org/A019774
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SqrtPi = 1.77245385090551602729816748334114518279754945612238712821380779 // https://oeis.org/A002161
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SqrtPhi = 1.27201964951406896425242246173749149171560804184009624861664038 // https://oeis.org/A139339
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Ln2 = 0.693147180559945309417232121458176568075500134360255254120680009 // https://oeis.org/A002162
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Log2E = 1 / Ln2
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Ln10 = 2.30258509299404568401799145468436420760110148862877297603332790 // https://oeis.org/A002392
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Log10E = 1 / Ln10
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)
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// Floating-point limit values.
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// Max is the largest finite value representable by the type.
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// SmallestNonzero is the smallest positive, non-zero value representable by the type.
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const (
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MaxFloat32 = 3.40282346638528859811704183484516925440e+38 // 2**127 * (2**24 - 1) / 2**23
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SmallestNonzeroFloat32 = 1.401298464324817070923729583289916131280e-45 // 1 / 2**(127 - 1 + 23)
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MaxFloat64 = 1.797693134862315708145274237317043567981e+308 // 2**1023 * (2**53 - 1) / 2**52
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SmallestNonzeroFloat64 = 4.940656458412465441765687928682213723651e-324 // 1 / 2**(1023 - 1 + 52)
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)
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// Integer limit values.
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const (
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MaxInt8 = 1<<7 - 1
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MinInt8 = -1 << 7
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MaxInt16 = 1<<15 - 1
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MinInt16 = -1 << 15
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MaxInt32 = 1<<31 - 1
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MinInt32 = -1 << 31
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MaxInt64 = 1<<63 - 1
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MinInt64 = -1 << 63
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MaxUint8 = 1<<8 - 1
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MaxUint16 = 1<<16 - 1
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MaxUint32 = 1<<32 - 1
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MaxUint64 = 1<<64 - 1
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)
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