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.
6package math
7
8// Mathematical constants.
9// Reference: http://oeis.org/Axxxxxx
10const (
11	E   = 2.71828182845904523536028747135266249775724709369995957496696763 // A001113
12	Pi  = 3.14159265358979323846264338327950288419716939937510582097494459 // A000796
13	Phi = 1.61803398874989484820458683436563811772030917980576286213544862 // A001622
14
15	Sqrt2   = 1.41421356237309504880168872420969807856967187537694807317667974 // A002193
16	SqrtE   = 1.64872127070012814684865078781416357165377610071014801157507931 // A019774
17	SqrtPi  = 1.77245385090551602729816748334114518279754945612238712821380779 // A002161
18	SqrtPhi = 1.27201964951406896425242246173749149171560804184009624861664038 // A139339
19
20	Ln2    = 0.693147180559945309417232121458176568075500134360255254120680009 // A002162
21	Log2E  = 1 / Ln2
22	Ln10   = 2.30258509299404568401799145468436420760110148862877297603332790 // A002392
23	Log10E = 1 / Ln10
24)
25
26// Floating-point limit values.
27// Max is the largest finite value representable by the type.
28// SmallestNonzero is the smallest positive, non-zero value representable by the type.
29const (
30	MaxFloat32             = 3.40282346638528859811704183484516925440e+38  // 2**127 * (2**24 - 1) / 2**23
31	SmallestNonzeroFloat32 = 1.401298464324817070923729583289916131280e-45 // 1 / 2**(127 - 1 + 23)
32
33	MaxFloat64             = 1.797693134862315708145274237317043567981e+308 // 2**1023 * (2**53 - 1) / 2**52
34	SmallestNonzeroFloat64 = 4.940656458412465441765687928682213723651e-324 // 1 / 2**(1023 - 1 + 52)
35)
36
37// Integer limit values.
38const (
39	MaxInt8   = 1<<7 - 1
40	MinInt8   = -1 << 7
41	MaxInt16  = 1<<15 - 1
42	MinInt16  = -1 << 15
43	MaxInt32  = 1<<31 - 1
44	MinInt32  = -1 << 31
45	MaxInt64  = 1<<63 - 1
46	MinInt64  = -1 << 63
47	MaxUint8  = 1<<8 - 1
48	MaxUint16 = 1<<16 - 1
49	MaxUint32 = 1<<32 - 1
50	MaxUint64 = 1<<64 - 1
51)
52