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// 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.

package math

// Mathematical constants.

// Reference: http://www.research.att.com/~njas/sequences/Axxxxxx

const (

        E   = 2.71828182845904523536028747135266249775724709369995957496696763 // A001113

        Pi  = 3.14159265358979323846264338327950288419716939937510582097494459 // A000796

        Phi = 1.61803398874989484820458683436563811772030917980576286213544862 // A001622

        Sqrt2   = 1.41421356237309504880168872420969807856967187537694807317667974 // A002193

        SqrtE   = 1.64872127070012814684865078781416357165377610071014801157507931 // A019774

        SqrtPi  = 1.77245385090551602729816748334114518279754945612238712821380779 // A002161

        SqrtPhi = 1.27201964951406896425242246173749149171560804184009624861664038 // A139339

        Ln2    = 0.693147180559945309417232121458176568075500134360255254120680009 // A002162

        Log2E  = 1 / Ln2

        Ln10   = 2.30258509299404568401799145468436420760110148862877297603332790 // 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

)