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use std ::mem ;
use num ::FromPrimitive ;
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use na ::{ self , Real , DefaultAllocator } ;
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use aliases ::{ TVec , TMat } ;
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use traits ::{ Number , Dimension , Alloc } ;
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/// For each matrix or vector component `x` if `x >= 0`; otherwise, it returns `-x`.
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///
/// # Examples:
///
/// ```
/// # use nalgebra_glm as glm;
/// let vec = glm::vec3(-1.0, 0.0, 2.0);
/// assert_eq!(glm::vec3(1.0, 0.0, 2.0), glm::abs(&vec));
///
/// let mat = glm::mat2(-0.0, 1.0, -3.0, 2.0);
/// assert_eq!(glm::mat2(0.0, 1.0, 3.0, 2.0), glm::abs(&mat));
/// ```
///
/// # See also:
///
/// * [`sign`](fn.sign.html)
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pub fn abs < N : Number , R : Dimension , C : Dimension > ( x : & TMat < N , R , C > ) -> TMat < N , R , C >
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where DefaultAllocator : Alloc < N , R , C > {
x . abs ( )
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}
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/// For each matrix or vector component returns a value equal to the nearest integer that is greater than or equal to `x`.
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///
/// # Examples:
///
/// ```
/// # use nalgebra_glm as glm;
/// let vec = glm::vec3(-1.5, 0.5, 2.8);
/// assert_eq!(glm::vec3(-1.0, 1.0, 3.0), glm::ceil(&vec));
/// ```
///
/// # See also:
///
/// * [`ceil`](fn.ceil.html)
/// * [`floor`](fn.floor.html)
/// * [`fract`](fn.fract.html)
/// * [`round`](fn.round.html)
/// * [`trunc`](fn.trunc.html)
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pub fn ceil < N : Real , D : Dimension > ( x : & TVec < N , D > ) -> TVec < N , D >
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where DefaultAllocator : Alloc < N , D > {
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x . map ( | x | x . ceil ( ) )
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}
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/// Returns `min(max(x, min_val), max_val)`.
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///
/// # See also:
///
/// * [`clamp`](fn.clamp.html)
/// * [`clamp_vec`](fn.clamp_vec.html)
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pub fn clamp_scalar < N : Number > ( x : N , min_val : N , max_val : N ) -> N {
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na ::clamp ( x , min_val , max_val )
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}
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/// Returns `min(max(x[i], min_val), max_val)` for each component in `x` using the floating-point values `min_val and `max_val`.
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///
/// # See also:
///
/// * [`clamp_scalar`](fn.clamp_scalar.html)
/// * [`clamp_vec`](fn.clamp_vec.html)
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pub fn clamp < N : Number , D : Dimension > ( x : & TVec < N , D > , min_val : N , max_val : N ) -> TVec < N , D >
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where DefaultAllocator : Alloc < N , D > {
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x . map ( | x | na ::clamp ( x , min_val , max_val ) )
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}
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/// Returns `min(max(x[i], min_val[i]), max_val[i])` for each component in `x` using the components of `min_val` and `max_val` as bounds.
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///
/// # See also:
///
/// * [`clamp_scalar`](fn.clamp_scalar.html)
/// * [`clamp`](fn.clamp.html)
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pub fn clamp_vec < N : Number , D : Dimension > ( x : & TVec < N , D > , min_val : & TVec < N , D > , max_val : & TVec < N , D > ) -> TVec < N , D >
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where DefaultAllocator : Alloc < N , D > {
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na ::clamp ( x . clone ( ) , min_val . clone ( ) , max_val . clone ( ) )
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}
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/// Returns a signed integer value representing the encoding of a floating-point value.
///
/// The floating-point value's bit-level representation is preserved.
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///
/// # See also:
///
/// * [`float_bits_to_int_vec`](fn.float_bits_to_int_vec.html)
/// * [`float_bits_to_uint`](fn.float_bits_to_uint.html)
/// * [`float_bits_to_uint_vec`](fn.float_bits_to_uint_vec.html)
/// * [`int_bits_to_float`](fn.int_bits_to_float.html)
/// * [`int_bits_to_float_vec`](fn.int_bits_to_float_vec.html)
/// * [`uint_bits_to_float`](fn.uint_bits_to_float.html)
/// * [`uint_bits_to_float_scalar`](fn.uint_bits_to_float_scalar.html)
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pub fn float_bits_to_int ( v : f32 ) -> i32 {
unsafe { mem ::transmute ( v ) }
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}
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/// Returns a signed integer value representing the encoding of each component of `v`.
///
/// The floating point value's bit-level representation is preserved.
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///
/// # See also:
///
/// * [`float_bits_to_int`](fn.float_bits_to_int.html)
/// * [`float_bits_to_uint`](fn.float_bits_to_uint.html)
/// * [`float_bits_to_uint_vec`](fn.float_bits_to_uint_vec.html)
/// * [`int_bits_to_float`](fn.int_bits_to_float.html)
/// * [`int_bits_to_float_vec`](fn.int_bits_to_float_vec.html)
/// * [`uint_bits_to_float`](fn.uint_bits_to_float.html)
/// * [`uint_bits_to_float_scalar`](fn.uint_bits_to_float_scalar.html)
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pub fn float_bits_to_int_vec < D : Dimension > ( v : & TVec < f32 , D > ) -> TVec < i32 , D >
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where DefaultAllocator : Alloc < f32 , D > {
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v . map ( | v | float_bits_to_int ( v ) )
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}
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/// Returns an unsigned integer value representing the encoding of a floating-point value.
///
/// The floating-point value's bit-level representation is preserved.
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///
/// # See also:
///
/// * [`float_bits_to_int`](fn.float_bits_to_int.html)
/// * [`float_bits_to_int_vec`](fn.float_bits_to_int_vec.html)
/// * [`float_bits_to_uint_vec`](fn.float_bits_to_uint_vec.html)
/// * [`int_bits_to_float`](fn.int_bits_to_float.html)
/// * [`int_bits_to_float_vec`](fn.int_bits_to_float_vec.html)
/// * [`uint_bits_to_float`](fn.uint_bits_to_float.html)
/// * [`uint_bits_to_float_scalar`](fn.uint_bits_to_float_scalar.html)
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pub fn float_bits_to_uint ( v : f32 ) -> u32 {
unsafe { mem ::transmute ( v ) }
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}
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/// Returns an unsigned integer value representing the encoding of each component of `v`.
///
/// The floating point value's bit-level representation is preserved.
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///
/// # See also:
///
/// * [`float_bits_to_int`](fn.float_bits_to_int.html)
/// * [`float_bits_to_int_vec`](fn.float_bits_to_int_vec.html)
/// * [`float_bits_to_uint`](fn.float_bits_to_uint.html)
/// * [`int_bits_to_float`](fn.int_bits_to_float.html)
/// * [`int_bits_to_float_vec`](fn.int_bits_to_float_vec.html)
/// * [`uint_bits_to_float`](fn.uint_bits_to_float.html)
/// * [`uint_bits_to_float_scalar`](fn.uint_bits_to_float_scalar.html)
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pub fn float_bits_to_uint_vec < D : Dimension > ( v : & TVec < f32 , D > ) -> TVec < u32 , D >
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where DefaultAllocator : Alloc < f32 , D > {
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v . map ( | v | float_bits_to_uint ( v ) )
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}
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/// Returns componentwise a value equal to the nearest integer that is less then or equal to `x`.
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///
/// # Examples:
///
/// ```
/// # use nalgebra_glm as glm;
/// let vec = glm::vec3(-1.5, 0.5, 2.8);
/// assert_eq!(glm::vec3(-2.0, 0.0, 2.0), glm::floor(&vec));
/// ```
///
/// # See also:
///
/// * [`ceil`](fn.ceil.html)
/// * [`fract`](fn.fract.html)
/// * [`round`](fn.round.html)
/// * [`trunc`](fn.trunc.html)
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pub fn floor < N : Real , D : Dimension > ( x : & TVec < N , D > ) -> TVec < N , D >
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where DefaultAllocator : Alloc < N , D > {
x . map ( | x | x . floor ( ) )
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}
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//// FIXME: should be implemented for TVec/TMat?
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//pub fn fma<N: Number>(a: N, b: N, c: N) -> N {
// // FIXME: use an actual FMA
// a * b + c
//}
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/// Returns the fractional part of each component of `x`.
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///
/// # Examples:
///
/// ```
/// # use nalgebra_glm as glm;
/// let vec = glm::vec3(-1.5, 0.5, 2.25);
/// assert_eq!(glm::vec3(-0.5, 0.5, 0.25), glm::fract(&vec));
/// ```
///
/// # See also:
///
/// * [`ceil`](fn.ceil.html)
/// * [`floor`](fn.floor.html)
/// * [`round`](fn.round.html)
/// * [`trunc`](fn.trunc.html)
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pub fn fract < N : Real , D : Dimension > ( x : & TVec < N , D > ) -> TVec < N , D >
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where DefaultAllocator : Alloc < N , D > {
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x . map ( | x | x . fract ( ) )
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}
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//// FIXME: should be implemented for TVec/TMat?
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///// Returns the (significant, exponent) of this float number.
//pub fn frexp<N: Real>(x: N, exp: N) -> (N, N) {
// // FIXME: is there a better approach?
// let e = x.log2().ceil();
// (x * (-e).exp2(), e)
//}
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/// Returns a floating-point value corresponding to a signed integer encoding of a floating-point value.
///
/// If an inf or NaN is passed in, it will not signal, and the resulting floating point value is unspecified. Otherwise, the bit-level representation is preserved.
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///
/// # See also:
///
/// * [`float_bits_to_int`](fn.float_bits_to_int.html)
/// * [`float_bits_to_int_vec`](fn.float_bits_to_int_vec.html)
/// * [`float_bits_to_uint`](fn.float_bits_to_uint.html)
/// * [`float_bits_to_uint_vec`](fn.float_bits_to_uint_vec.html)
/// * [`int_bits_to_float_vec`](fn.int_bits_to_float_vec.html)
/// * [`uint_bits_to_float`](fn.uint_bits_to_float.html)
/// * [`uint_bits_to_float_scalar`](fn.uint_bits_to_float_scalar.html)
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pub fn int_bits_to_float ( v : i32 ) -> f32 {
unsafe { mem ::transmute ( v ) }
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}
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/// For each components of `v`, returns a floating-point value corresponding to a signed integer encoding of a floating-point value.
///
/// If an inf or NaN is passed in, it will not signal, and the resulting floating point value is unspecified. Otherwise, the bit-level representation is preserved.
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///
/// # See also:
///
/// * [`float_bits_to_int`](fn.float_bits_to_int.html)
/// * [`float_bits_to_int_vec`](fn.float_bits_to_int_vec.html)
/// * [`float_bits_to_uint`](fn.float_bits_to_uint.html)
/// * [`float_bits_to_uint_vec`](fn.float_bits_to_uint_vec.html)
/// * [`int_bits_to_float`](fn.int_bits_to_float.html)
/// * [`uint_bits_to_float`](fn.uint_bits_to_float.html)
/// * [`uint_bits_to_float_scalar`](fn.uint_bits_to_float_scalar.html)
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pub fn int_bits_to_float_vec < D : Dimension > ( v : & TVec < i32 , D > ) -> TVec < f32 , D >
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where DefaultAllocator : Alloc < f32 , D > {
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v . map ( | v | int_bits_to_float ( v ) )
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}
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//pub fn isinf<N: Scalar, D: Dimension>(x: &TVec<N, D>) -> TVec<bool, D>
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// where DefaultAllocator: Alloc<N, D> {
// unimplemented!()
//
//}
//
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//pub fn isnan<N: Scalar, D: Dimension>(x: &TVec<N, D>) -> TVec<bool, D>
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// where DefaultAllocator: Alloc<N, D> {
// unimplemented!()
//
//}
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///// Returns the (significant, exponent) of this float number.
//pub fn ldexp<N: Real>(x: N, exp: N) -> N {
// // FIXME: is there a better approach?
// x * (exp).exp2()
//}
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/// Returns `x * (1.0 - a) + y * a`, i.e., the linear blend of x and y using the floating-point value a.
///
/// The value for a is not restricted to the range `[0, 1]`.
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pub fn mix < N : Number > ( x : N , y : N , a : N ) -> N {
x * ( N ::one ( ) - a ) + y * a
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}
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/// Component-wise modulus.
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///
/// Returns `x - y * floor(x / y)` for each component in `x` using the corresponding component of `y`.
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///
/// # See also:
///
/// * [`modf`](fn.modf.html)
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pub fn modf_vec < N : Number , D : Dimension > ( x : & TVec < N , D > , y : & TVec < N , D > ) -> TVec < N , D >
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where DefaultAllocator : Alloc < N , D > {
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x . zip_map ( y , | x , y | x % y )
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}
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/// Modulus between two values.
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///
/// # See also:
///
/// * [`modf_vec`](fn.modf_vec.html)
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pub fn modf < N : Number > ( x : N , i : N ) -> N {
x % i
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}
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/// Component-wise rounding.
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///
/// Values equal to `0.5` are rounded away from `0.0`.
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///
/// # Examples:
///
/// ```
/// # use nalgebra_glm as glm;
/// let vec = glm::vec4(-1.5, 0.6, 1.5, -3.2);
/// assert_eq!(glm::vec4(-2.0, 1.0, 2.0, -3.0), glm::round(&vec));
/// ```
///
/// # See also:
///
/// * [`ceil`](fn.ceil.html)
/// * [`floor`](fn.floor.html)
/// * [`fract`](fn.fract.html)
/// * [`trunc`](fn.trunc.html)
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pub fn round < N : Real , D : Dimension > ( x : & TVec < N , D > ) -> TVec < N , D >
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where DefaultAllocator : Alloc < N , D > {
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x . map ( | x | x . round ( ) )
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}
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//pub fn roundEven<N: Scalar, D: Dimension>(x: &TVec<N, D>) -> TVec<N, D>
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// where DefaultAllocator: Alloc<N, D> {
// unimplemented!()
//}
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/// Returns 1 if `x > 0`, 0 if `x == 0`, or -1 if `x < 0`.
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pub fn sign < N : Number , D : Dimension > ( x : & TVec < N , D > ) -> TVec < N , D >
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where DefaultAllocator : Alloc < N , D > {
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x . map ( | x | x . signum ( ) )
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}
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/// Returns 0.0 if `x <= edge0` and `1.0 if x >= edge1` and performs smooth Hermite interpolation between 0 and 1 when `edge0 < x < edge1`.
///
/// This is useful in cases where you would want a threshold function with a smooth transition.
/// This is equivalent to: `let result = clamp((x - edge0) / (edge1 - edge0), 0, 1); return t * t * (3 - 2 * t);` Results are undefined if `edge0 >= edge1`.
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pub fn smoothstep < N : Number > ( edge0 : N , edge1 : N , x : N ) -> N {
let _3 : N = FromPrimitive ::from_f64 ( 3.0 ) . unwrap ( ) ;
let _2 : N = FromPrimitive ::from_f64 ( 2.0 ) . unwrap ( ) ;
let t = na ::clamp ( ( x - edge0 ) / ( edge1 - edge0 ) , N ::zero ( ) , N ::one ( ) ) ;
t * t * ( _3 - t * _2 )
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}
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/// Returns 0.0 if `x < edge`, otherwise it returns 1.0.
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pub fn step_scalar < N : Number > ( edge : N , x : N ) -> N {
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if edge > x {
N ::zero ( )
} else {
N ::one ( )
}
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}
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/// Returns 0.0 if `x[i] < edge`, otherwise it returns 1.0.
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pub fn step < N : Number , D : Dimension > ( edge : N , x : & TVec < N , D > ) -> TVec < N , D >
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where DefaultAllocator : Alloc < N , D > {
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x . map ( | x | step_scalar ( edge , x ) )
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}
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/// Returns 0.0 if `x[i] < edge[i]`, otherwise it returns 1.0.
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pub fn step_vec < N : Number , D : Dimension > ( edge : & TVec < N , D > , x : & TVec < N , D > ) -> TVec < N , D >
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where DefaultAllocator : Alloc < N , D > {
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edge . zip_map ( x , | edge , x | step_scalar ( edge , x ) )
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}
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/// Returns a value equal to the nearest integer to `x` whose absolute value is not larger than the absolute value of `x`.
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///
/// # Examples:
///
/// ```
/// # use nalgebra_glm as glm;
/// let vec = glm::vec3(-1.5, 0.5, 2.8);
/// assert_eq!(glm::vec3(-1.0, 0.0, 2.0), glm::trunc(&vec));
/// ```
///
/// # See also:
///
/// * [`ceil`](fn.ceil.html)
/// * [`floor`](fn.floor.html)
/// * [`fract`](fn.fract.html)
/// * [`round`](fn.round.html)
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pub fn trunc < N : Real , D : Dimension > ( x : & TVec < N , D > ) -> TVec < N , D >
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where DefaultAllocator : Alloc < N , D > {
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x . map ( | x | x . trunc ( ) )
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}
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/// Returns a floating-point value corresponding to a unsigned integer encoding of a floating-point value.
///
/// If an `inf` or `NaN` is passed in, it will not signal, and the resulting floating point value is unspecified. Otherwise, the bit-level representation is preserved.
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///
/// # See also:
///
/// * [`float_bits_to_int`](fn.float_bits_to_int.html)
/// * [`float_bits_to_int_vec`](fn.float_bits_to_int_vec.html)
/// * [`float_bits_to_uint`](fn.float_bits_to_uint.html)
/// * [`float_bits_to_uint_vec`](fn.float_bits_to_uint_vec.html)
/// * [`int_bits_to_float`](fn.int_bits_to_float.html)
/// * [`int_bits_to_float_vec`](fn.int_bits_to_float_vec.html)
/// * [`uint_bits_to_float`](fn.uint_bits_to_float.html)
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pub fn uint_bits_to_float_scalar ( v : u32 ) -> f32 {
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unsafe { mem ::transmute ( v ) }
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}
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/// For each component of `v`, returns a floating-point value corresponding to a unsigned integer encoding of a floating-point value.
///
/// If an inf or NaN is passed in, it will not signal, and the resulting floating point value is unspecified. Otherwise, the bit-level representation is preserved.
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///
/// # See also:
///
/// * [`float_bits_to_int`](fn.float_bits_to_int.html)
/// * [`float_bits_to_int_vec`](fn.float_bits_to_int_vec.html)
/// * [`float_bits_to_uint`](fn.float_bits_to_uint.html)
/// * [`float_bits_to_uint_vec`](fn.float_bits_to_uint_vec.html)
/// * [`int_bits_to_float`](fn.int_bits_to_float.html)
/// * [`int_bits_to_float_vec`](fn.int_bits_to_float_vec.html)
/// * [`uint_bits_to_float_scalar`](fn.uint_bits_to_float_scalar.html)
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pub fn uint_bits_to_float < D : Dimension > ( v : & TVec < u32 , D > ) -> TVec < f32 , D >
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where DefaultAllocator : Alloc < f32 , D > {
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v . map ( | v | uint_bits_to_float_scalar ( v ) )
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}