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+// Copyright (c) 2019-2021 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
+
+// aprox_sin returns an approximation of sin(a) made using lolremez
+pub fn aprox_sin(a f64) f64 {
+ a0 := 1.91059300966915117e-31
+ a1 := 1.00086760103908896
+ a2 := -1.21276126894734565e-2
+ a3 := -1.38078780785773762e-1
+ a4 := -2.67353392911981221e-2
+ a5 := 2.08026600266304389e-2
+ a6 := -3.03996055049204407e-3
+ a7 := 1.38235642404333740e-4
+ return a0 + a * (a1 + a * (a2 + a * (a3 + a * (a4 + a * (a5 + a * (a6 + a * a7))))))
+}
+
+// aprox_cos returns an approximation of sin(a) made using lolremez
+pub fn aprox_cos(a f64) f64 {
+ a0 := 9.9995999154986614e-1
+ a1 := 1.2548995793001028e-3
+ a2 := -5.0648546280678015e-1
+ a3 := 1.2942246466519995e-2
+ a4 := 2.8668384702547972e-2
+ a5 := 7.3726485210586547e-3
+ a6 := -3.8510875386947414e-3
+ a7 := 4.7196604604366623e-4
+ a8 := -1.8776444013090451e-5
+ return a0 + a * (a1 + a * (a2 + a * (a3 + a * (a4 + a * (a5 + a * (a6 + a * (a7 + a * a8)))))))
+}
+
+// copysign returns a value with the magnitude of x and the sign of y
+[inline]
+pub fn copysign(x f64, y f64) f64 {
+ return f64_from_bits((f64_bits(x) & ~sign_mask) | (f64_bits(y) & sign_mask))
+}
+
+// degrees convert from degrees to radians.
+[inline]
+pub fn degrees(radians f64) f64 {
+ return radians * (180.0 / pi)
+}
+
+// digits returns an array of the digits of n in the given base.
+pub fn digits(_n int, base int) []int {
+ if base < 2 {
+ panic('digits: Cannot find digits of n with base $base')
+ }
+ mut n := _n
+ mut sign := 1
+ if n < 0 {
+ sign = -1
+ n = -n
+ }
+ mut res := []int{}
+ for n != 0 {
+ res << (n % base) * sign
+ n /= base
+ }
+ return res
+}
+
+[inline]
+pub fn fabs(x f64) f64 {
+ if x < 0.0 {
+ return -x
+ }
+ return x
+}
+
+// gcd calculates greatest common (positive) divisor (or zero if a and b are both zero).
+pub fn gcd(a_ i64, b_ i64) i64 {
+ mut a := a_
+ mut b := b_
+ if a < 0 {
+ a = -a
+ }
+ if b < 0 {
+ b = -b
+ }
+ for b != 0 {
+ a %= b
+ if a == 0 {
+ return b
+ }
+ b %= a
+ }
+ return a
+}
+
+// lcm calculates least common (non-negative) multiple.
+pub fn lcm(a i64, b i64) i64 {
+ if a == 0 {
+ return a
+ }
+ res := a * (b / gcd(b, a))
+ if res < 0 {
+ return -res
+ }
+ return res
+}
+
+// max returns the maximum value of the two provided.
+[inline]
+pub fn max(a f64, b f64) f64 {
+ if a > b {
+ return a
+ }
+ return b
+}
+
+// min returns the minimum value of the two provided.
+[inline]
+pub fn min(a f64, b f64) f64 {
+ if a < b {
+ return a
+ }
+ return b
+}
+
+// sign returns the corresponding sign -1.0, 1.0 of the provided number.
+// if n is not a number, its sign is nan too.
+[inline]
+pub fn sign(n f64) f64 {
+ if is_nan(n) {
+ return nan()
+ }
+ return copysign(1.0, n)
+}
+
+// signi returns the corresponding sign -1.0, 1.0 of the provided number.
+[inline]
+pub fn signi(n f64) int {
+ return int(copysign(1.0, n))
+}
+
+// radians convert from radians to degrees.
+[inline]
+pub fn radians(degrees f64) f64 {
+ return degrees * (pi / 180.0)
+}
+
+// signbit returns a value with the boolean representation of the sign for x
+[inline]
+pub fn signbit(x f64) bool {
+ return f64_bits(x) & sign_mask != 0
+}