std: rewrote math to support most C95 libmath calls on f32, f64 and float

This commit is contained in:
Stefan Plantikow 2011-11-22 18:08:26 +01:00 committed by Brian Anderson
parent 75ce03dd77
commit 9c9be62b02
3 changed files with 323 additions and 82 deletions

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@ -5,6 +5,7 @@ Definitions useful for C interop
*/
type c_int = i32;
type long = int;
type unsigned = u32;
type ulong = uint;
@ -13,6 +14,9 @@ type intptr_t = uint;
type uintptr_t = uint;
type uint32_t = u32;
// This *must* match with "import c_float = fXX" in std::math per arch
type c_float = f64;
type size_t = uint;
type ssize_t = int;
type off_t = uint;

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@ -1,77 +1,173 @@
/* Module: math */
#[link_name = ""]
export consts;
export min, max;
export f32, f64;
// Currently this module supports from -lmath
// C95 - frexp - ldexp - fmod - modf + log2 + log1p
export
acos, asin, atan, atan2, ceil, cos, cosh, exp, abs, floor,
ln, ln1p, log10, log2, pow, sin, sinh, sqrt, tan, tanh;
// These two must match in width according to architecture
import ctypes::c_float;
import c_float = f64;
#[link_name = "m"]
#[abi = "cdecl"]
native mod libc {
fn sqrt(n: float) -> float;
fn sin(n: float) -> float;
fn asin(n: float) -> float;
fn cos(n: float) -> float;
fn acos(n: float) -> float;
fn tan(n: float) -> float;
fn atan(n: float) -> float;
#[link_name="log"]
fn ln(n: float) -> float;
fn log2(n: float) -> float;
fn log10(n: float) -> float;
fn log1p(n: float) -> float;
native mod f64 {
// Alpabetically sorted by link_name
fn acos(n: f64) -> f64;
fn asin(n: f64) -> f64;
fn atan(n: f64) -> f64;
fn atan2(a: f64, b: f64) -> f64;
fn ceil(n: f64) -> f64;
fn cos(n: f64) -> f64;
fn cosh(n: f64) -> f64;
fn exp(n: f64) -> f64;
#[link_name="fabs"] fn abs(n: f64) -> f64;
fn floor(n: f64) -> f64;
#[link_name="log"] fn ln(n: f64) -> f64;
#[link_name="log1p"] fn ln1p(n: f64) -> f64;
fn log10(n: f64) -> f64;
fn log2(n: f64) -> f64;
fn pow(n: f64, e: f64) -> f64;
fn sin(n: f64) -> f64;
fn sinh(n: f64) -> f64;
fn sqrt(n: f64) -> f64;
fn tan(n: f64) -> f64;
fn tanh(n: f64) -> f64;
}
/*
Function: sqrt
#[link_name = "m"]
#[abi = "cdecl"]
native mod f32 {
Returns the square root
*/
pure fn sqrt(x: float) -> float { unsafe { libc::sqrt(x) } }
// Alpabetically sorted by link_name
/*
Function: sin
#[link_name="acosf"] fn acos(n: f32) -> f32;
#[link_name="asinf"] fn asin(n: f32) -> f32;
#[link_name="atanf"] fn atan(n: f32) -> f32;
#[link_name="atan2f"] fn atan2(a: f32, b: f32) -> f32;
#[link_name="ceilf"] fn ceil(n: f32) -> f32;
#[link_name="cosf"] fn cos(n: f32) -> f32;
#[link_name="coshf"] fn cosh(n: f32) -> f32;
#[link_name="expf"] fn exp(n: f32) -> f32;
#[link_name="fabsf"] fn abs(n: f32) -> f32;
#[link_name="floorf"] fn floor(n: f32) -> f32;
#[link_name="powf"] fn pow(n: f32, e: f32) -> f32;
#[link_name="sinf"] fn sin(n: f32) -> f32;
#[link_name="sinhf"] fn sinh(n: f32) -> f32;
#[link_name="sqrtf"] fn sqrt(n: f32) -> f32;
#[link_name="tanf"] fn tan(n: f32) -> f32;
#[link_name="tanhf"] fn tanh(n: f32) -> f32;
#[link_name="logf"] fn ln(n: f32) -> f32;
#[link_name="log1p"] fn ln1p(n: f64) -> f64;
#[link_name="log2f"] fn log2(n: f32) -> f32;
#[link_name="log10f"] fn log10(n: f32) -> f32;
}
Returns the sine of an angle
*/
pure fn sin(x: float) -> float { unsafe { libc::sin(x) } }
/*
Function: cos
mod consts {
/*
Const: pi
Returns the cosine of an angle
*/
pure fn cos(x: float) -> float { unsafe { libc::cos(x) } }
Archimedes' constant
*/
const pi: float = 3.14159265358979323846264338327950288;
/*
Function: tan
/*
Const: frac_pi_2
Returns the tangent of an angle
*/
pure fn tan(x: float) -> float { unsafe { libc::tan(x) } }
pi/2.0
*/
const frac_pi_2: float = 1.57079632679489661923132169163975144;
/*
Function: asin
/*
Const: frac_pi_4
Returns the arcsine of an angle
*/
pure fn asin(x: float) -> float { unsafe { libc::asin(x) } }
pi/4.0
*/
const frac_pi_4: float = 0.785398163397448309615660845819875721;
/*
Function: acos
/*
Const: frac_1_pi
Returns the arccosine of an angle
*/
pure fn acos(x: float) -> float { unsafe { libc::acos(x) } }
1.0/pi
*/
const frac_1_pi: float = 0.318309886183790671537767526745028724;
/*
Function: atan
/*
Const: frac_2_pi
Returns the arctangent of an angle
*/
pure fn atan(x: float) -> float { unsafe { libc::atan(x) } }
2.0/pi
*/
const frac_2_pi: float = 0.636619772367581343075535053490057448;
/*
Const: pi
/*
Const: frac_2_sqrtpi
Archimedes' constant
*/
const pi: float = 3.141592653589793;
2.0/sqrt(pi)
*/
const frac_2_sqrtpi: float = 1.12837916709551257389615890312154517;
/*
Const: sqrt2
sqrt(2.0)
*/
const sqrt2: float = 1.41421356237309504880168872420969808;
/*
Const: frac_1_sqrt2
1.0/sqrt(2.0)
*/
const frac_1_sqrt2: float = 0.707106781186547524400844362104849039;
/*
Const: e
Euler's number
*/
const e: float = 2.71828182845904523536028747135266250;
/*
Const: log2_e
log2(e)
*/
const log2_e: float = 1.44269504088896340735992468100189214;
/*
Const: log10_e
log10(e)
*/
const log10_e: float = 0.434294481903251827651128918916605082;
/*
Const: ln_2
ln(2.0)
*/
const ln_2: float = 0.693147180559945309417232121458176568;
/*
Const: ln_10
ln(10.0)
*/
const ln_10: float = 2.30258509299404568401799145468436421;
}
/*
Function: min
@ -88,38 +184,179 @@ Returns the maximum of two values
pure fn max<copy T>(x: T, y: T) -> T { x < y ? y : x }
/*
Const: e
Function: acos
Euler's number
Returns the arccosine of an angle (measured in rad)
*/
const e: float = 2.718281828459045235;
pure fn acos(x: float) -> float
{ unsafe { c_float::acos(x as c_float) as float } }
/*
Function: asin
Returns the arcsine of an angle (measured in rad)
*/
pure fn asin(x: float) -> float
{ unsafe { c_float::asin(x as c_float) as float } }
/*
Function: atan
Returns the arctangents of an angle (measured in rad)
*/
pure fn atan(x: float) -> float
{ unsafe { c_float::atan(x as c_float) as float } }
/*
Function: atan2
Returns the arctangent of an angle (measured in rad)
*/
pure fn atan2(y: float, x: float) -> float
{ unsafe { c_float::atan2(y as c_float, x as c_float) as float } }
/*
Function: ceil
Returns:
The smallest integral value less than or equal to `n`
*/
pure fn ceil(n: float) -> float
{ unsafe { c_float::ceil(n as c_float) as float } }
/*
Function: cos
Returns the cosine of an angle `x` (measured in rad)
*/
pure fn cos(x: float) -> float
{ unsafe { c_float::cos(x as c_float) as float } }
/*
Function: cosh
Returns the hyperbolic cosine of `x`
*/
pure fn cosh(x: float) -> float
{ unsafe { c_float::cosh(x as c_float) as float } }
/*
Function: exp
Returns:
e to the power of `n*
*/
pure fn exp(n: float) -> float
{ unsafe { c_float::exp(n as c_float) as float } }
/*
Function: abs
Returns:
The absolute value of `n`
*/
pure fn abs(n: float) -> float
{ unsafe { c_float::abs(n as c_float) as float } }
/*
Function: floor
Returns:
The largest integral value less than or equal to `n`
*/
pure fn floor(n: float) -> float
{ unsafe { c_float::floor(n as c_float) as float } }
/*
Function: ln
Returns the natural logaritm
Returns the natural logaritm of `n`
*/
pure fn ln(n: float) -> float { unsafe { libc::ln(n) } }
pure fn ln(n: float) -> float
{ unsafe { c_float::ln(n as c_float) as float } }
/*
Function: log2
Returns the logarithm to base 2
*/
pure fn log2(n: float) -> float { unsafe { libc::log2(n) } }
/*
Function: log2
Returns the logarithm to base 10
*/
pure fn log10(n: float) -> float { unsafe { libc::log10(n) } }
/*
Function: log1p
Function: ln1p
Returns the natural logarithm of `1+n` accurately,
even for very small values of `n`
*/
pure fn ln1p(n: float) -> float { unsafe { libc::log1p(n) } }
pure fn ln1p(n: float) -> float
{ unsafe { c_float::ln1p(n as c_float) as float } }
/*
Function: log10
Returns the logarithm to base 10 of `n`
*/
pure fn log10(n: float) -> float
{ unsafe { c_float::log10(n as c_float) as float } }
/*
Function: log2
Returns the logarithm to base 2 of `n`
*/
pure fn log2(n: float) -> float
{ unsafe { c_float::log2(n as c_float) as float } }
/*
Function: pow
*/
pure fn pow(v: float, e: float) -> float
{ unsafe { c_float::pow(v as c_float, e as c_float) as float } }
/*
Function: sin
Returns the sine of an angle `x` (measured in rad)
*/
pure fn sin(x: float) -> float
{ unsafe { c_float::sin(x as c_float) as float } }
/*
Function: sinh
Returns the hyperbolic sine of an angle `x` (measured in rad)
*/
pure fn sinh(x: float) -> float
{ unsafe { c_float::sinh(x as c_float) as float } }
/*
Function: sqrt
Returns the square root of `x`
*/
pure fn sqrt(x: float) -> float
{ unsafe { c_float::sqrt(x as c_float) as float } }
/*
Function: tan
Returns the tangent of an angle `x` (measured in rad)
*/
pure fn tan(x: float) -> float
{ unsafe { c_float::tan(x as c_float) as float } }
/*
Function: tanh
Returns the hyperbolic tangent of an angle `x` (measured in rad)
*/
pure fn tanh(x: float) -> float
{ unsafe { c_float::tanh(x as c_float) as float } }

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@ -24,14 +24,14 @@ fn test_max_min() {
fn test_angle() {
fn angle(vec: (float, float)) -> float {
alt vec {
(0f, y) when y < 0f { 1.5 * std::math::pi }
(0f, y) { 0.5 * std::math::pi }
(0f, y) when y < 0f { 1.5 * consts::pi }
(0f, y) { 0.5 * consts::pi }
(x, y) { std::math::atan(y / x) }
}
}
assert angle((1f, 0f)) == 0f;
assert angle((1f, 1f)) == 0.25 * pi;
assert angle((0f, 1f)) == 0.5 * pi;
assert angle((1f, 1f)) == 0.25 * consts::pi;
assert angle((0f, 1f)) == 0.5 * consts::pi;
}
@ -42,11 +42,11 @@ fn test_log_functions() {
assert log2(1.0) == 0.0;
assert log10(1.0) == 0.0;
assert ln(e) == 1.0;
assert ln(consts::e) == 1.0;
assert log2(2.0) == 1.0;
assert log10(10.0) == 1.0;
assert ln(e*e*e*e) == 4.0;
assert ln(consts::e*consts::e*consts::e*consts::e) == 4.0;
assert log2(256.0) == 8.0;
assert log10(1000.0) == 3.0;