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std: rewrote math to support most C95 libmath calls on f32, f64 and float
This commit is contained in:
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75ce03dd77
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9c9be62b02
@ -5,6 +5,7 @@ Definitions useful for C interop
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*/
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type c_int = i32;
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type long = int;
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type unsigned = u32;
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type ulong = uint;
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@ -13,6 +14,9 @@ type intptr_t = uint;
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type uintptr_t = uint;
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type uint32_t = u32;
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// This *must* match with "import c_float = fXX" in std::math per arch
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type c_float = f64;
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type size_t = uint;
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type ssize_t = int;
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type off_t = uint;
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389
src/lib/math.rs
389
src/lib/math.rs
@ -1,77 +1,173 @@
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/* Module: math */
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#[link_name = ""]
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export consts;
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export min, max;
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export f32, f64;
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// Currently this module supports from -lmath
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// C95 - frexp - ldexp - fmod - modf + log2 + log1p
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export
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acos, asin, atan, atan2, ceil, cos, cosh, exp, abs, floor,
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ln, ln1p, log10, log2, pow, sin, sinh, sqrt, tan, tanh;
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// These two must match in width according to architecture
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import ctypes::c_float;
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import c_float = f64;
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#[link_name = "m"]
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#[abi = "cdecl"]
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native mod libc {
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fn sqrt(n: float) -> float;
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fn sin(n: float) -> float;
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fn asin(n: float) -> float;
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fn cos(n: float) -> float;
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fn acos(n: float) -> float;
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fn tan(n: float) -> float;
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fn atan(n: float) -> float;
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#[link_name="log"]
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fn ln(n: float) -> float;
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fn log2(n: float) -> float;
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fn log10(n: float) -> float;
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fn log1p(n: float) -> float;
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native mod f64 {
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// Alpabetically sorted by link_name
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fn acos(n: f64) -> f64;
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fn asin(n: f64) -> f64;
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fn atan(n: f64) -> f64;
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fn atan2(a: f64, b: f64) -> f64;
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fn ceil(n: f64) -> f64;
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fn cos(n: f64) -> f64;
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fn cosh(n: f64) -> f64;
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fn exp(n: f64) -> f64;
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#[link_name="fabs"] fn abs(n: f64) -> f64;
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fn floor(n: f64) -> f64;
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#[link_name="log"] fn ln(n: f64) -> f64;
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#[link_name="log1p"] fn ln1p(n: f64) -> f64;
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fn log10(n: f64) -> f64;
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fn log2(n: f64) -> f64;
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fn pow(n: f64, e: f64) -> f64;
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fn sin(n: f64) -> f64;
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fn sinh(n: f64) -> f64;
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fn sqrt(n: f64) -> f64;
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fn tan(n: f64) -> f64;
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fn tanh(n: f64) -> f64;
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}
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/*
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Function: sqrt
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#[link_name = "m"]
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#[abi = "cdecl"]
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native mod f32 {
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Returns the square root
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*/
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pure fn sqrt(x: float) -> float { unsafe { libc::sqrt(x) } }
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// Alpabetically sorted by link_name
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/*
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Function: sin
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#[link_name="acosf"] fn acos(n: f32) -> f32;
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#[link_name="asinf"] fn asin(n: f32) -> f32;
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#[link_name="atanf"] fn atan(n: f32) -> f32;
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#[link_name="atan2f"] fn atan2(a: f32, b: f32) -> f32;
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#[link_name="ceilf"] fn ceil(n: f32) -> f32;
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#[link_name="cosf"] fn cos(n: f32) -> f32;
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#[link_name="coshf"] fn cosh(n: f32) -> f32;
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#[link_name="expf"] fn exp(n: f32) -> f32;
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#[link_name="fabsf"] fn abs(n: f32) -> f32;
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#[link_name="floorf"] fn floor(n: f32) -> f32;
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#[link_name="powf"] fn pow(n: f32, e: f32) -> f32;
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#[link_name="sinf"] fn sin(n: f32) -> f32;
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#[link_name="sinhf"] fn sinh(n: f32) -> f32;
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#[link_name="sqrtf"] fn sqrt(n: f32) -> f32;
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#[link_name="tanf"] fn tan(n: f32) -> f32;
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#[link_name="tanhf"] fn tanh(n: f32) -> f32;
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#[link_name="logf"] fn ln(n: f32) -> f32;
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#[link_name="log1p"] fn ln1p(n: f64) -> f64;
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#[link_name="log2f"] fn log2(n: f32) -> f32;
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#[link_name="log10f"] fn log10(n: f32) -> f32;
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}
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Returns the sine of an angle
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*/
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pure fn sin(x: float) -> float { unsafe { libc::sin(x) } }
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/*
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Function: cos
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mod consts {
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/*
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Const: pi
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Returns the cosine of an angle
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*/
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pure fn cos(x: float) -> float { unsafe { libc::cos(x) } }
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Archimedes' constant
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*/
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const pi: float = 3.14159265358979323846264338327950288;
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/*
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Function: tan
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/*
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Const: frac_pi_2
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Returns the tangent of an angle
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*/
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pure fn tan(x: float) -> float { unsafe { libc::tan(x) } }
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pi/2.0
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*/
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const frac_pi_2: float = 1.57079632679489661923132169163975144;
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/*
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Function: asin
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/*
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Const: frac_pi_4
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Returns the arcsine of an angle
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*/
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pure fn asin(x: float) -> float { unsafe { libc::asin(x) } }
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pi/4.0
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*/
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const frac_pi_4: float = 0.785398163397448309615660845819875721;
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/*
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Function: acos
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/*
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Const: frac_1_pi
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Returns the arccosine of an angle
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*/
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pure fn acos(x: float) -> float { unsafe { libc::acos(x) } }
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1.0/pi
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*/
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const frac_1_pi: float = 0.318309886183790671537767526745028724;
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/*
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Function: atan
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/*
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Const: frac_2_pi
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Returns the arctangent of an angle
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*/
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pure fn atan(x: float) -> float { unsafe { libc::atan(x) } }
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2.0/pi
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*/
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const frac_2_pi: float = 0.636619772367581343075535053490057448;
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/*
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Const: pi
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/*
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Const: frac_2_sqrtpi
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Archimedes' constant
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*/
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const pi: float = 3.141592653589793;
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2.0/sqrt(pi)
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*/
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const frac_2_sqrtpi: float = 1.12837916709551257389615890312154517;
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/*
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Const: sqrt2
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sqrt(2.0)
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*/
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const sqrt2: float = 1.41421356237309504880168872420969808;
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/*
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Const: frac_1_sqrt2
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1.0/sqrt(2.0)
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*/
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const frac_1_sqrt2: float = 0.707106781186547524400844362104849039;
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/*
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Const: e
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Euler's number
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*/
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const e: float = 2.71828182845904523536028747135266250;
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/*
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Const: log2_e
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log2(e)
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*/
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const log2_e: float = 1.44269504088896340735992468100189214;
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/*
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Const: log10_e
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log10(e)
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*/
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const log10_e: float = 0.434294481903251827651128918916605082;
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/*
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Const: ln_2
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ln(2.0)
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*/
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const ln_2: float = 0.693147180559945309417232121458176568;
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/*
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Const: ln_10
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ln(10.0)
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*/
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const ln_10: float = 2.30258509299404568401799145468436421;
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}
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/*
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Function: min
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@ -88,38 +184,179 @@ Returns the maximum of two values
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pure fn max<copy T>(x: T, y: T) -> T { x < y ? y : x }
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/*
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Const: e
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Function: acos
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Euler's number
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Returns the arccosine of an angle (measured in rad)
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*/
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const e: float = 2.718281828459045235;
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pure fn acos(x: float) -> float
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{ unsafe { c_float::acos(x as c_float) as float } }
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/*
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Function: asin
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Returns the arcsine of an angle (measured in rad)
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*/
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pure fn asin(x: float) -> float
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{ unsafe { c_float::asin(x as c_float) as float } }
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/*
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Function: atan
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Returns the arctangents of an angle (measured in rad)
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*/
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pure fn atan(x: float) -> float
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{ unsafe { c_float::atan(x as c_float) as float } }
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/*
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Function: atan2
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Returns the arctangent of an angle (measured in rad)
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*/
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pure fn atan2(y: float, x: float) -> float
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{ unsafe { c_float::atan2(y as c_float, x as c_float) as float } }
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/*
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Function: ceil
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Returns:
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The smallest integral value less than or equal to `n`
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*/
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pure fn ceil(n: float) -> float
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{ unsafe { c_float::ceil(n as c_float) as float } }
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/*
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Function: cos
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Returns the cosine of an angle `x` (measured in rad)
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*/
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pure fn cos(x: float) -> float
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{ unsafe { c_float::cos(x as c_float) as float } }
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/*
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Function: cosh
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Returns the hyperbolic cosine of `x`
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*/
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pure fn cosh(x: float) -> float
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{ unsafe { c_float::cosh(x as c_float) as float } }
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/*
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Function: exp
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Returns:
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e to the power of `n*
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*/
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pure fn exp(n: float) -> float
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{ unsafe { c_float::exp(n as c_float) as float } }
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/*
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Function: abs
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Returns:
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The absolute value of `n`
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*/
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pure fn abs(n: float) -> float
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{ unsafe { c_float::abs(n as c_float) as float } }
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/*
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Function: floor
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Returns:
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The largest integral value less than or equal to `n`
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*/
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pure fn floor(n: float) -> float
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{ unsafe { c_float::floor(n as c_float) as float } }
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/*
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Function: ln
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Returns the natural logaritm
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Returns the natural logaritm of `n`
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*/
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pure fn ln(n: float) -> float { unsafe { libc::ln(n) } }
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pure fn ln(n: float) -> float
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{ unsafe { c_float::ln(n as c_float) as float } }
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/*
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Function: log2
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Returns the logarithm to base 2
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*/
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pure fn log2(n: float) -> float { unsafe { libc::log2(n) } }
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/*
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Function: log2
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Returns the logarithm to base 10
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*/
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pure fn log10(n: float) -> float { unsafe { libc::log10(n) } }
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/*
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Function: log1p
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Function: ln1p
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Returns the natural logarithm of `1+n` accurately,
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even for very small values of `n`
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*/
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pure fn ln1p(n: float) -> float { unsafe { libc::log1p(n) } }
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pure fn ln1p(n: float) -> float
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{ unsafe { c_float::ln1p(n as c_float) as float } }
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/*
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Function: log10
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Returns the logarithm to base 10 of `n`
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*/
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pure fn log10(n: float) -> float
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{ unsafe { c_float::log10(n as c_float) as float } }
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/*
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Function: log2
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Returns the logarithm to base 2 of `n`
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*/
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pure fn log2(n: float) -> float
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{ unsafe { c_float::log2(n as c_float) as float } }
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/*
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Function: pow
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*/
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pure fn pow(v: float, e: float) -> float
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{ unsafe { c_float::pow(v as c_float, e as c_float) as float } }
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/*
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Function: sin
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Returns the sine of an angle `x` (measured in rad)
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*/
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pure fn sin(x: float) -> float
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{ unsafe { c_float::sin(x as c_float) as float } }
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/*
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Function: sinh
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Returns the hyperbolic sine of an angle `x` (measured in rad)
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*/
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pure fn sinh(x: float) -> float
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{ unsafe { c_float::sinh(x as c_float) as float } }
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/*
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Function: sqrt
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Returns the square root of `x`
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*/
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pure fn sqrt(x: float) -> float
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{ unsafe { c_float::sqrt(x as c_float) as float } }
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/*
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Function: tan
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Returns the tangent of an angle `x` (measured in rad)
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*/
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pure fn tan(x: float) -> float
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{ unsafe { c_float::tan(x as c_float) as float } }
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/*
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Function: tanh
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Returns the hyperbolic tangent of an angle `x` (measured in rad)
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*/
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pure fn tanh(x: float) -> float
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{ unsafe { c_float::tanh(x as c_float) as float } }
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@ -24,14 +24,14 @@ fn test_max_min() {
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fn test_angle() {
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fn angle(vec: (float, float)) -> float {
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alt vec {
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(0f, y) when y < 0f { 1.5 * std::math::pi }
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(0f, y) { 0.5 * std::math::pi }
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(0f, y) when y < 0f { 1.5 * consts::pi }
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(0f, y) { 0.5 * consts::pi }
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(x, y) { std::math::atan(y / x) }
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}
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}
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assert angle((1f, 0f)) == 0f;
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assert angle((1f, 1f)) == 0.25 * pi;
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assert angle((0f, 1f)) == 0.5 * pi;
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assert angle((1f, 1f)) == 0.25 * consts::pi;
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assert angle((0f, 1f)) == 0.5 * consts::pi;
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}
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@ -42,11 +42,11 @@ fn test_log_functions() {
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assert log2(1.0) == 0.0;
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assert log10(1.0) == 0.0;
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assert ln(e) == 1.0;
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assert ln(consts::e) == 1.0;
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assert log2(2.0) == 1.0;
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assert log10(10.0) == 1.0;
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assert ln(e*e*e*e) == 4.0;
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assert ln(consts::e*consts::e*consts::e*consts::e) == 4.0;
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assert log2(256.0) == 8.0;
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assert log10(1000.0) == 3.0;
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