forked from M-Labs/nalgebra
393 lines
8.5 KiB
Rust
393 lines
8.5 KiB
Rust
extern crate rand;
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extern crate typenum;
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extern crate nalgebra as na;
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use rand::random;
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use typenum::U10;
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use na::{VecN, Vec0, Vec1, Vec2, Vec3, Vec4, Vec5, Vec6, Mat3, Rot2, Rot3, Iterable, IterableMut};
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macro_rules! test_iterator_impl(
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($t: ty, $n: ty) => (
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for _ in 0usize .. 10000 {
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let v: $t = random();
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let mut mv: $t = v.clone();
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let n: $n = random();
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let nv: $t = v.iter().map(|e| *e * n).collect();
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for e in mv.iter_mut() {
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*e = *e * n
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}
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assert!(nv == mv && nv == v * n);
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}
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)
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);
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macro_rules! test_commut_dot_impl(
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($t: ty) => (
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for _ in 0usize .. 10000 {
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let v1 : $t = random();
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let v2 : $t = random();
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assert!(na::approx_eq(&na::dot(&v1, &v2), &na::dot(&v2, &v1)));
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}
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);
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);
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macro_rules! test_scalar_op_impl(
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($t: ty, $n: ty) => (
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for _ in 0usize .. 10000 {
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let v1 : $t = random();
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let n : $n = random();
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assert!(na::approx_eq(&((v1 * n) / n), &v1));
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assert!(na::approx_eq(&((v1 / n) * n), &v1));
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assert!(na::approx_eq(&((v1 - n) + n), &v1));
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assert!(na::approx_eq(&((v1 + n) - n), &v1));
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let mut v1 : $t = random();
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let v0 : $t = v1.clone();
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let n : $n = random();
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v1 = v1 * n;
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v1 = v1 / n;
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assert!(na::approx_eq(&v1, &v0));
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}
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);
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);
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macro_rules! test_basis_impl(
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($t: ty) => (
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for _ in 0usize .. 10000 {
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na::canonical_basis(|e1: $t| {
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na::canonical_basis(|e2: $t| {
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assert!(e1 == e2 || na::approx_eq(&na::dot(&e1, &e2), &na::zero()));
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true
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});
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assert!(na::approx_eq(&na::norm(&e1), &na::one()));
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true
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})
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}
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);
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);
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macro_rules! test_subspace_basis_impl(
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($t: ty) => (
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for _ in 0usize .. 10000 {
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let v : $t = random();
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let v1 = na::normalize(&v);
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na::orthonormal_subspace_basis(&v1, |e1| {
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// check vectors are orthogonal to v1
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assert!(na::approx_eq(&na::dot(&v1, &e1), &na::zero()));
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// check vectors form an orthonormal basis
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assert!(na::approx_eq(&na::norm(&e1), &na::one()));
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// check vectors form an ortogonal basis
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na::orthonormal_subspace_basis(&v1, |e2| {
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assert!(e1 == e2 || na::approx_eq(&na::dot(&e1, &e2), &na::zero()));
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true
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});
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true
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})
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}
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);
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);
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#[test]
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fn test_cross_vec3() {
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for _ in 0usize .. 10000 {
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let v1 : Vec3<f64> = random();
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let v2 : Vec3<f64> = random();
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let v3 : Vec3<f64> = na::cross(&v1, &v2);
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assert!(na::approx_eq(&na::dot(&v3, &v2), &na::zero()));
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assert!(na::approx_eq(&na::dot(&v3, &v1), &na::zero()));
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}
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}
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#[test]
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fn test_commut_dot_vec0() {
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test_commut_dot_impl!(Vec0<f64>);
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}
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#[test]
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fn test_commut_dot_vec1() {
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test_commut_dot_impl!(Vec1<f64>);
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}
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#[test]
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fn test_commut_dot_vec2() {
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test_commut_dot_impl!(Vec2<f64>);
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}
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#[test]
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fn test_commut_dot_vec3() {
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test_commut_dot_impl!(Vec3<f64>);
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}
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#[test]
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fn test_commut_dot_vec4() {
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test_commut_dot_impl!(Vec4<f64>);
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}
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#[test]
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fn test_commut_dot_vec5() {
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test_commut_dot_impl!(Vec5<f64>);
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}
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#[test]
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fn test_commut_dot_vec6() {
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test_commut_dot_impl!(Vec6<f64>);
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}
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#[test]
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fn test_basis_vec0() {
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test_basis_impl!(Vec0<f64>);
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}
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#[test]
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fn test_basis_vec1() {
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test_basis_impl!(Vec1<f64>);
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}
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#[test]
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fn test_basis_vec2() {
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test_basis_impl!(Vec2<f64>);
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}
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#[test]
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fn test_basis_vec3() {
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test_basis_impl!(Vec3<f64>);
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}
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#[test]
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fn test_basis_vec4() {
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test_basis_impl!(Vec4<f64>);
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}
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#[test]
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fn test_basis_vec5() {
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test_basis_impl!(Vec5<f64>);
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}
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#[test]
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fn test_basis_vec6() {
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test_basis_impl!(Vec6<f64>);
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}
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#[test]
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fn test_subspace_basis_vec0() {
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test_subspace_basis_impl!(Vec0<f64>);
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}
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#[test]
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fn test_subspace_basis_vec1() {
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test_subspace_basis_impl!(Vec1<f64>);
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}
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#[test]
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fn test_subspace_basis_vec2() {
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test_subspace_basis_impl!(Vec2<f64>);
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}
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#[test]
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fn test_subspace_basis_vec3() {
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test_subspace_basis_impl!(Vec3<f64>);
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}
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#[test]
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fn test_subspace_basis_vec4() {
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test_subspace_basis_impl!(Vec4<f64>);
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}
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#[test]
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fn test_subspace_basis_vec5() {
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test_subspace_basis_impl!(Vec5<f64>);
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}
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#[test]
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fn test_subspace_basis_vec6() {
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test_subspace_basis_impl!(Vec6<f64>);
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}
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#[test]
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fn test_scalar_op_vec0() {
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test_scalar_op_impl!(Vec0<f64>, f64);
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}
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#[test]
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fn test_scalar_op_vec1() {
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test_scalar_op_impl!(Vec1<f64>, f64);
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}
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#[test]
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fn test_scalar_op_vec2() {
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test_scalar_op_impl!(Vec2<f64>, f64);
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}
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#[test]
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fn test_scalar_op_vec3() {
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test_scalar_op_impl!(Vec3<f64>, f64);
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}
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#[test]
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fn test_scalar_op_vec4() {
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test_scalar_op_impl!(Vec4<f64>, f64);
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}
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#[test]
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fn test_scalar_op_vec5() {
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test_scalar_op_impl!(Vec5<f64>, f64);
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}
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#[test]
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fn test_scalar_op_vec6() {
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test_scalar_op_impl!(Vec6<f64>, f64);
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}
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#[test]
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fn test_iterator_vec0() {
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test_iterator_impl!(Vec0<f64>, f64);
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}
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#[test]
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fn test_iterator_vec1() {
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test_iterator_impl!(Vec1<f64>, f64);
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}
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#[test]
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fn test_iterator_vec2() {
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test_iterator_impl!(Vec2<f64>, f64);
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}
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#[test]
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fn test_iterator_vec3() {
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test_iterator_impl!(Vec3<f64>, f64);
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}
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#[test]
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fn test_iterator_vec4() {
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test_iterator_impl!(Vec4<f64>, f64);
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}
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#[test]
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fn test_iterator_vec5() {
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test_iterator_impl!(Vec5<f64>, f64);
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}
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#[test]
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fn test_iterator_vec6() {
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test_iterator_impl!(Vec6<f64>, f64);
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}
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#[test]
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fn test_ord_vec3() {
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// equality
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assert!(Vec3::new(0.5f64, 0.5, 0.5) == Vec3::new(0.5, 0.5, 0.5));
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assert!(!(Vec3::new(1.5f64, 0.5, 0.5) == Vec3::new(0.5, 0.5, 0.5)));
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assert!(Vec3::new(1.5f64, 0.5, 0.5) != Vec3::new(0.5, 0.5, 0.5));
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// comparable
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assert!(na::partial_cmp(&Vec3::new(0.5f64, 0.3, 0.3), &Vec3::new(1.0, 2.0, 1.0)).is_le());
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assert!(na::partial_cmp(&Vec3::new(0.5f64, 0.3, 0.3), &Vec3::new(1.0, 2.0, 1.0)).is_lt());
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assert!(na::partial_cmp(&Vec3::new(2.0f64, 4.0, 2.0), &Vec3::new(1.0, 2.0, 1.0)).is_ge());
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assert!(na::partial_cmp(&Vec3::new(2.0f64, 4.0, 2.0), &Vec3::new(1.0, 2.0, 1.0)).is_gt());
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// not comparable
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assert!(na::partial_cmp(&Vec3::new(0.0f64, 3.0, 0.0), &Vec3::new(1.0, 2.0, 1.0)).is_not_comparable());
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}
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#[test]
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fn test_min_max_vec3() {
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assert_eq!(na::sup(&Vec3::new(1.0f64, 2.0, 3.0), &Vec3::new(3.0, 2.0, 1.0)), Vec3::new(3.0, 2.0, 3.0));
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assert_eq!(na::inf(&Vec3::new(1.0f64, 2.0, 3.0), &Vec3::new(3.0, 2.0, 1.0)), Vec3::new(1.0, 2.0, 1.0));
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}
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#[test]
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fn test_outer_vec3() {
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assert_eq!(
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na::outer(&Vec3::new(1.0f64, 2.0, 3.0), &Vec3::new(4.0, 5.0, 6.0)),
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Mat3::new(
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4.0, 5.0, 6.0,
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8.0, 10.0, 12.0,
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12.0, 15.0, 18.0));
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}
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#[test]
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fn test_vecn10_add_mul() {
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for _ in 0usize .. 10000 {
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let v1: VecN<f64, U10> = random();
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assert!(na::approx_eq(&(v1 + v1), &(v1 * 2.0)))
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}
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}
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#[test]
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fn test_vec3_rotation_between() {
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for _ in 0usize .. 10000 {
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let v1: Vec3<f64> = random();
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let mut v2: Vec3<f64> = random();
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v2 = na::normalize(&v2) * na::norm(&v1);
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let rot = na::rotation_between(&v1, &v2);
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assert!(na::approx_eq(&(rot * v1), &v2))
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}
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}
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#[test]
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fn test_vec3_angle_between() {
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for _ in 0usize .. 10000 {
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let vec: Vec3<f64> = random();
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let other: Vec3<f64> = random();
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// Ensure the axis we are using is orthogonal to `vec`.
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let axis_ang = na::cross(&vec, &other);
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let ang = na::norm(&axis_ang);
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let rot = Rot3::new(axis_ang);
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let delta = na::angle_between(&vec, &(rot * vec));
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assert!(na::approx_eq(&ang, &delta))
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}
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}
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#[test]
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fn test_vec2_rotation_between() {
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for _ in 0usize .. 10000 {
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let v1: Vec2<f64> = random();
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let mut v2: Vec2<f64> = random();
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v2 = na::normalize(&v2) * na::norm(&v1);
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let rot = na::rotation_between(&v1, &v2);
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assert!(na::approx_eq(&(rot * v1), &v2))
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}
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}
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#[test]
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fn test_vec2_angle_between() {
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for _ in 0usize .. 10000 {
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let axis_ang: Vec1<f64> = random();
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let ang = na::norm(&axis_ang);
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let rot: Rot2<f64> = Rot2::new(axis_ang);
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let vec: Vec2<f64> = random();
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let delta = na::angle_between(&vec, &(rot * vec));
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assert!(na::approx_eq(&ang, &delta))
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}
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}
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