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v/vlib/math/math.v

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// Copyright (c) 2019 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
#include <math.h>
// NOTE
// When adding a new function, please make sure it's in the right place.
// All functions are sorted alphabetically.
// Returns the absolute value.
pub fn abs(a f64) f64 {
if a < 0 {
return -a
}
return a
}
fn C.acos(a f64) f64
// acos calculates inverse cosine (arccosine).
pub fn acos(a f64) f64 {
return C.acos(a)
}
// asin calculates inverse sine (arcsine).
pub fn asin(a f64) f64 {
return C.asin(a)
}
// atan calculates inverse tangent (arctangent).
pub fn atan(a f64) f64 {
return C.atan(a)
}
// atan2 calculates inverse tangent with two arguments, returns the angle between the X axis and the point.
pub fn atan2(a, b f64) f64 {
return C.atan2(a, b)
}
// cbrt calculates cubic root.
pub fn cbrt(a f64) f64 {
return C.cbrt(a)
}
// ceil returns the nearest integer greater or equal to the provided value.
pub fn ceil(a f64) int {
return C.ceil(a)
}
// cos calculates cosine.
pub fn cos(a f64) f64 {
return C.cos(a)
}
// cosh calculates hyperbolic cosine.
pub fn cosh(a f64) f64 {
return C.cosh(a)
}
// degrees convert from degrees to radians.
pub fn degrees(radians f64) f64 {
return radians * (180.0 / pi)
}
// exp calculates exponent of the number (math.pow(math.E, a)).
pub fn exp(a f64) f64 {
return C.exp(a)
}
// digits returns an array of the digits of n in the given base.
pub fn digits(_n, base int) []int {
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
}
// erf computes the error function value
pub fn erf(a f64) f64 {
return C.erf(a)
}
// erfc computes the complementary error function value
pub fn erfc(a f64) f64 {
return C.erfc(a)
}
// exp2 returns the base-2 exponential function of a (math.pow(2, a)).
pub fn exp2(a f64) f64 {
return C.exp2(a)
}
// factorial calculates the factorial of the provided value.
// TODO bring back once multiple value functions are implemented
/*
fn recursive_product( n int, current_number_ptr &int) int{
mut m := n / 2
if (m == 0){
return *current_number_ptr += 2
}
if (n == 2){
return (*current_number_ptr += 2) * (*current_number_ptr += 2)
}
return recursive_product((n - m), *current_number_ptr) * recursive_product(m, *current_number_ptr)
}
pub fn factorial(n int) i64 {
if n < 0 {
panic('factorial: Cannot find factorial of negative number')
}
if n < 2 {
return i64(1)
}
mut r := 1
mut p := 1
mut current_number := 1
mut h := 0
mut shift := 0
mut high := 1
mut len := high
mut log2n := int(floor(log2(n)))
for ;h != n; {
shift += h
h = n >> log2n
log2n -= 1
len = high
high = (h - 1) | 1
len = (high - len)/2
if (len > 0){
p *= recursive_product(len, &current_number)
r *= p
}
}
return i64((r << shift))
}
*/
// floor returns the nearest integer lower or equal of the provided value.
pub fn floor(a f64) f64 {
return C.floor(a)
}
// fmod returns the floating-point remainder of number / denom (rounded towards zero):
pub fn fmod(a, b f64) f64 {
return C.fmod(a, b)
}
// gamma computes the gamma function value
pub fn gamma(a f64) f64 {
return C.tgamma(a)
}
// gcd calculates greatest common (positive) divisor (or zero if a and b are both zero).
pub fn gcd(a_, 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
}
// Returns hypotenuse of a right triangle.
pub fn hypot(a, b f64) f64 {
return C.hypot(a, b)
}
// lcm calculates least common (non-negative) multiple.
pub fn lcm(a, b i64) i64 {
if a == 0 {
return a
}
res := a * (b / gcd(b, a))
if res < 0 {
return -res
}
return res
}
// log calculates natural (base-e) logarithm of the provided value.
pub fn log(a f64) f64 {
return C.log(a)
}
// log2 calculates base-2 logarithm of the provided value.
pub fn log2(a f64) f64 {
return C.log2(a)
}
// log10 calculates the common (base-10) logarithm of the provided value.
pub fn log10(a f64) f64 {
return C.log10(a)
}
// log_gamma computes the log-gamma function value
pub fn log_gamma(a f64) f64 {
return C.lgamma(a)
}
// log_n calculates base-N logarithm of the provided value.
pub fn log_n(a, b f64) f64 {
return C.log(a) / C.log(b)
}
// max returns the maximum value of the two provided.
pub fn max(a, b f64) f64 {
if a > b {
return a
}
return b
}
// min returns the minimum value of the two provided.
pub fn min(a, b f64) f64 {
if a < b {
return a
}
return b
}
// pow returns base raised to the provided power.
pub fn pow(a, b f64) f64 {
return C.pow(a, b)
}
// radians convert from radians to degrees.
pub fn radians(degrees f64) f64 {
return degrees * (pi / 180.0)
}
// round returns the integer nearest to the provided value.
pub fn round(f f64) f64 {
return C.round(f)
}
// sin calculates sine.
pub fn sin(a f64) f64 {
return C.sin(a)
}
// sinh calculates hyperbolic sine.
pub fn sinh(a f64) f64 {
return C.sinh(a)
}
// sqrt calculates square-root of the provided value.
pub fn sqrt(a f64) f64 {
return C.sqrt(a)
}
// tan calculates tangent.
pub fn tan(a f64) f64 {
return C.tan(a)
}
// tanh calculates hyperbolic tangent.
pub fn tanh(a f64) f64 {
return C.tanh(a)
}
// trunc rounds a toward zero, returning the nearest integral value that is not
// larger in magnitude than a.
pub fn trunc(a f64) f64 {
return C.trunc(a)
}