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44 lines (38 loc) · 2.37 KB
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// Copyright (c) 2019-2024 Alexander Medvednikov. All rights reserved.
// Use of this source code is governed by an MIT license
// that can be found in the LICENSE file.
module math
pub const epsilon = 2.2204460492503130808472633361816E-16
pub const e = 2.71828182845904523536028747135266249775724709369995957496696763
pub const pi = 3.14159265358979323846264338327950288419716939937510582097494459
pub const pi_2 = pi / 2.0
pub const pi_4 = pi / 4.0
pub const phi = 1.61803398874989484820458683436563811772030917980576286213544862
pub const tau = 6.28318530717958647692528676655900576839433879875021164194988918
pub const one_over_tau = 1.0 / tau
pub const one_over_pi = 1.0 / pi
pub const tau_over2 = tau / 2.0
pub const tau_over4 = tau / 4.0
pub const tau_over8 = tau / 8.0
pub const sqrt2 = 1.41421356237309504880168872420969807856967187537694807317667974
pub const sqrt_3 = 1.73205080756887729352744634150587236694280525381038062805580697
pub const sqrt_5 = 2.23606797749978969640917366873127623544061835961152572427089724
pub const sqrt_e = 1.64872127070012814684865078781416357165377610071014801157507931
pub const sqrt_pi = 1.77245385090551602729816748334114518279754945612238712821380779
pub const sqrt_tau = 2.50662827463100050241576528481104525300698674060993831662992357
pub const sqrt_phi = 1.27201964951406896425242246173749149171560804184009624861664038
pub const ln2 = 0.693147180559945309417232121458176568075500134360255254120680009
pub const log2_e = 1.0 / ln2
pub const ln10 = 2.30258509299404568401799145468436420760110148862877297603332790
pub const log10_e = 1.0 / ln10
pub const two_thirds = 0.66666666666666666666666666666666666666666666666666666666666667
// Floating-point limit values
// max is the largest finite value representable by the type.
// smallest_non_zero is the smallest positive, non-zero value representable by the type.
pub const max_f32 = 3.40282346638528859811704183484516925440e+38 // 2**127 * (2**24 - 1) / 2**23
pub const smallest_non_zero_f32 = 1.401298464324817070923729583289916131280e-45 // 1 / 2**(127 - 1 + 23)
pub const max_f64 = 1.797693134862315708145274237317043567981e+308 // 2**1023 * (2**53 - 1) / 2**52
pub const smallest_non_zero_f64 = 4.940656458412465441765687928682213723651e-324
// -9223372036854775808 is wrong, because C compilers parse literal values
// without sign first, and 9223372036854775808 overflows i64, hence the
// consecutive subtraction by 1