370 lines
11 KiB
Rust
370 lines
11 KiB
Rust
// Copyright 2013-2014 The CGMath Developers. For a full listing of the authors,
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// refer to the Cargo.toml file at the top-level directory of this distribution.
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//
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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//
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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extern crate approx;
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extern crate cgmath;
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use cgmath::*;
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use std::f64;
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use std::iter;
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#[test]
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fn test_constructor() {
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assert_eq!(vec1(1f32), Vector1::new(1f32));
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assert_eq!(vec2(1f32, 2f32), Vector2::new(1f32, 2f32));
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assert_eq!(vec3(1f64, 2f64, 3f64), Vector3::new(1f64, 2f64, 3f64));
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assert_eq!(
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vec4(1isize, 2isize, 3isize, 4isize),
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Vector4::new(1isize, 2isize, 3isize, 4isize)
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);
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}
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#[test]
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fn test_from_value() {
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assert_eq!(
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Vector2::from_value(102isize),
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Vector2::new(102isize, 102isize)
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);
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assert_eq!(
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Vector3::from_value(22isize),
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Vector3::new(22isize, 22isize, 22isize)
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);
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assert_eq!(
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Vector4::from_value(76.5f64),
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Vector4::new(76.5f64, 76.5f64, 76.5f64, 76.5f64)
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);
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}
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macro_rules! impl_test_add {
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($VectorN:ident { $($field:ident),+ }, $s:expr, $v:expr) => (
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// vector + vector ops
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assert_eq!($v + $v, $VectorN::new($($v.$field + $v.$field),+));
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assert_eq!(&$v + &$v, $v + $v);
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assert_eq!(&$v + $v, $v + $v);
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assert_eq!($v + &$v, $v + $v);
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)
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}
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macro_rules! impl_test_sub {
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($VectorN:ident { $($field:ident),+ }, $s:expr, $v:expr) => (
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// vector - vector ops
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assert_eq!($v - $v, $VectorN::new($($v.$field - $v.$field),+));
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assert_eq!(&$v - &$v, $v - $v);
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assert_eq!(&$v - $v, $v - $v);
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assert_eq!($v - &$v, $v - $v);
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)
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}
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macro_rules! impl_test_mul {
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($VectorN:ident { $($field:ident),+ }, $s:expr, $v:expr) => (
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// vector * scalar ops
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assert_eq!($v * $s, $VectorN::new($($v.$field * $s),+));
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assert_eq!($s * $v, $VectorN::new($($s * $v.$field),+));
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assert_eq!(&$v * $s, $v * $s);
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assert_eq!($s * &$v, $s * $v);
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// commutativity
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assert_eq!($v * $s, $s * $v);
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)
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}
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macro_rules! impl_test_div {
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($VectorN:ident { $($field:ident),+ }, $s:expr, $v:expr) => (
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// vector / scalar ops
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assert_eq!($v / $s, $VectorN::new($($v.$field / $s),+));
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assert_eq!($s / $v, $VectorN::new($($s / $v.$field),+));
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assert_eq!(&$v / $s, $v / $s);
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assert_eq!($s / &$v, $s / $v);
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)
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}
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macro_rules! impl_test_rem {
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($VectorN:ident { $($field:ident),+ }, $s:expr, $v:expr) => (
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// vector % scalar ops
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assert_eq!($v % $s, $VectorN::new($($v.$field % $s),+));
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assert_eq!($s % $v, $VectorN::new($($s % $v.$field),+));
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assert_eq!(&$v % $s, $v % $s);
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assert_eq!($s % &$v, $s % $v);
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)
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}
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macro_rules! impl_test_iter_sum {
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($VectorN:ident { $($field:ident),+ }, $ty:ty, $s:expr, $v:expr) => (
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assert_eq!($VectorN::new($($v.$field * $s),+),
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iter::repeat($v).take($s as usize).sum());
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)
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}
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#[test]
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fn test_add() {
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impl_test_add!(Vector4 { x, y, z, w }, 2.0f32, vec4(2.0f32, 4.0, 6.0, 8.0));
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impl_test_add!(Vector3 { x, y, z }, 2.0f32, vec3(2.0f32, 4.0, 6.0));
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impl_test_add!(Vector2 { x, y }, 2.0f32, vec2(2.0f32, 4.0));
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}
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#[test]
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fn test_sub() {
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impl_test_sub!(Vector4 { x, y, z, w }, 2.0f32, vec4(2.0f32, 4.0, 6.0, 8.0));
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impl_test_sub!(Vector3 { x, y, z }, 2.0f32, vec3(2.0f32, 4.0, 6.0));
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impl_test_sub!(Vector2 { x, y }, 2.0f32, vec2(2.0f32, 4.0));
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}
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#[test]
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fn test_mul() {
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impl_test_mul!(Vector4 { x, y, z, w }, 2.0f32, vec4(2.0f32, 4.0, 6.0, 8.0));
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impl_test_mul!(Vector3 { x, y, z }, 2.0f32, vec3(2.0f32, 4.0, 6.0));
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impl_test_mul!(Vector2 { x, y }, 2.0f32, vec2(2.0f32, 4.0));
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}
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#[test]
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fn test_div() {
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impl_test_div!(Vector4 { x, y, z, w }, 2.0f32, vec4(2.0f32, 4.0, 6.0, 8.0));
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impl_test_div!(Vector3 { x, y, z }, 2.0f32, vec3(2.0f32, 4.0, 6.0));
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impl_test_div!(Vector2 { x, y }, 2.0f32, vec2(2.0f32, 4.0));
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}
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#[test]
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fn test_rem() {
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impl_test_rem!(Vector4 { x, y, z, w }, 2.0f32, vec4(2.0f32, 4.0, 6.0, 8.0));
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impl_test_rem!(Vector3 { x, y, z }, 2.0f32, vec3(2.0f32, 4.0, 6.0));
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impl_test_rem!(Vector2 { x, y }, 2.0f32, vec2(2.0f32, 4.0));
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}
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#[test]
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fn test_dot() {
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assert_eq!(Vector2::new(1.0, 2.0).dot(Vector2::new(3.0, 4.0)), 11.0);
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assert_eq!(
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Vector3::new(1.0, 2.0, 3.0).dot(Vector3::new(4.0, 5.0, 6.0)),
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32.0
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);
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assert_eq!(
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Vector4::new(1.0, 2.0, 3.0, 4.0).dot(Vector4::new(5.0, 6.0, 7.0, 8.0)),
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70.0
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);
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}
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#[test]
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fn test_sum() {
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assert_eq!(Vector2::new(1isize, 2isize).sum(), 3isize);
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assert_eq!(Vector3::new(1isize, 2isize, 3isize).sum(), 6isize);
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assert_eq!(Vector4::new(1isize, 2isize, 3isize, 4isize).sum(), 10isize);
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assert_eq!(Vector2::new(3.0f64, 4.0f64).sum(), 7.0f64);
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assert_eq!(Vector3::new(4.0f64, 5.0f64, 6.0f64).sum(), 15.0f64);
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assert_eq!(Vector4::new(5.0f64, 6.0f64, 7.0f64, 8.0f64).sum(), 26.0f64);
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}
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#[test]
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fn test_iter_sum() {
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impl_test_iter_sum!(
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Vector4 { x, y, z, w },
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f32,
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2.0f32,
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vec4(2.0f32, 4.0, 6.0, 8.0)
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);
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impl_test_iter_sum!(Vector3 { x, y, z }, f32, 2.0f32, vec3(2.0f32, 4.0, 6.0));
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impl_test_iter_sum!(Vector2 { x, y }, f32, 2.0f32, vec2(2.0f32, 4.0));
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impl_test_iter_sum!(Vector4 { x, y, z, w }, usize, 2usize, vec4(2usize, 4, 6, 8));
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impl_test_iter_sum!(Vector3 { x, y, z }, usize, 2usize, vec3(2usize, 4, 6));
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impl_test_iter_sum!(Vector2 { x, y }, usize, 2usize, vec2(2usize, 4));
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}
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#[test]
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fn test_product() {
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assert_eq!(Vector2::new(1isize, 2isize).product(), 2isize);
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assert_eq!(Vector3::new(1isize, 2isize, 3isize).product(), 6isize);
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assert_eq!(
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Vector4::new(1isize, 2isize, 3isize, 4isize).product(),
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24isize
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);
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assert_eq!(Vector2::new(3.0f64, 4.0f64).product(), 12.0f64);
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assert_eq!(Vector3::new(4.0f64, 5.0f64, 6.0f64).product(), 120.0f64);
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assert_eq!(
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Vector4::new(5.0f64, 6.0f64, 7.0f64, 8.0f64).product(),
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1680.0f64
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);
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}
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#[test]
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fn test_cross() {
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let a = Vector3::new(1isize, 2isize, 3isize);
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let b = Vector3::new(4isize, 5isize, 6isize);
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let r = Vector3::new(-3isize, 6isize, -3isize);
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assert_eq!(a.cross(b), r);
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}
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#[test]
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fn test_is_perpendicular() {
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assert!(Vector2::new(1.0f64, 0.0f64).is_perpendicular(Vector2::new(0.0f64, 1.0f64)));
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assert!(
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Vector3::new(0.0f64, 1.0f64, 0.0f64).is_perpendicular(Vector3::new(0.0f64, 0.0f64, 1.0f64))
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);
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assert!(
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Vector4::new(1.0f64, 0.0f64, 0.0f64, 0.0f64).is_perpendicular(Vector4::new(
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0.0f64,
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0.0f64,
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0.0f64,
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1.0f64
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))
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);
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}
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#[cfg(test)]
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mod test_magnitude {
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use cgmath::*;
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#[test]
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fn test_vector2() {
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let (a, a_res) = (Vector2::new(3.0f64, 4.0f64), 5.0f64); // (3, 4, 5) Pythagorean triple
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let (b, b_res) = (Vector2::new(5.0f64, 12.0f64), 13.0f64); // (5, 12, 13) Pythagorean triple
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assert_eq!(a.magnitude2(), a_res * a_res);
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assert_eq!(b.magnitude2(), b_res * b_res);
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assert_eq!(a.magnitude(), a_res);
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assert_eq!(b.magnitude(), b_res);
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}
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#[test]
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fn test_vector3() {
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let (a, a_res) = (Vector3::new(2.0f64, 3.0f64, 6.0f64), 7.0f64); // (2, 3, 6, 7) Pythagorean quadruple
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let (b, b_res) = (Vector3::new(1.0f64, 4.0f64, 8.0f64), 9.0f64); // (1, 4, 8, 9) Pythagorean quadruple
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assert_eq!(a.magnitude2(), a_res * a_res);
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assert_eq!(b.magnitude2(), b_res * b_res);
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assert_eq!(a.magnitude(), a_res);
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assert_eq!(b.magnitude(), b_res);
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}
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#[test]
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fn test_vector4() {
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let (a, a_res) = (Vector4::new(1.0f64, 2.0f64, 4.0f64, 10.0f64), 11.0f64); // (1, 2, 4, 10, 11) Pythagorean quintuple
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let (b, b_res) = (Vector4::new(1.0f64, 2.0f64, 8.0f64, 10.0f64), 13.0f64); // (1, 2, 8, 10, 13) Pythagorean quintuple
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assert_eq!(a.magnitude2(), a_res * a_res);
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assert_eq!(b.magnitude2(), b_res * b_res);
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assert_eq!(a.magnitude(), a_res);
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assert_eq!(b.magnitude(), b_res);
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}
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}
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#[test]
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fn test_angle() {
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assert_ulps_eq!(
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Vector2::new(1.0f64, 0.0f64).angle(Vector2::new(0.0f64, 1.0f64)),
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&Rad(f64::consts::FRAC_PI_2)
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);
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assert_ulps_eq!(
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Vector2::new(10.0f64, 0.0f64).angle(Vector2::new(0.0f64, 5.0f64)),
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&Rad(f64::consts::FRAC_PI_2)
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);
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assert_ulps_eq!(
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Vector2::new(-1.0f64, 0.0f64).angle(Vector2::new(0.0f64, 1.0f64)),
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&-Rad(f64::consts::FRAC_PI_2)
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);
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assert_ulps_eq!(
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Vector3::new(1.0f64, 0.0f64, 1.0f64).angle(Vector3::new(1.0f64, 1.0f64, 0.0f64)),
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&Rad(f64::consts::FRAC_PI_3)
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);
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assert_ulps_eq!(
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Vector3::new(10.0f64, 0.0f64, 10.0f64).angle(Vector3::new(5.0f64, 5.0f64, 0.0f64)),
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&Rad(f64::consts::FRAC_PI_3)
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);
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assert_ulps_eq!(
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Vector3::new(-1.0f64, 0.0f64, -1.0f64).angle(Vector3::new(1.0f64, -1.0f64, 0.0f64)),
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&Rad(2.0f64 * f64::consts::FRAC_PI_3)
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);
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assert_ulps_eq!(
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Vector4::new(1.0f64, 0.0f64, 1.0f64, 0.0f64).angle(Vector4::new(
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0.0f64,
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1.0f64,
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0.0f64,
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1.0f64
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)),
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&Rad(f64::consts::FRAC_PI_2)
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);
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assert_ulps_eq!(
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Vector4::new(10.0f64, 0.0f64, 10.0f64, 0.0f64).angle(Vector4::new(
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0.0f64,
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5.0f64,
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0.0f64,
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5.0f64
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)),
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&Rad(f64::consts::FRAC_PI_2)
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);
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assert_ulps_eq!(
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Vector4::new(-1.0f64, 0.0f64, -1.0f64, 0.0f64).angle(Vector4::new(
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0.0f64,
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1.0f64,
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0.0f64,
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1.0f64
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)),
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&Rad(f64::consts::FRAC_PI_2)
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);
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}
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#[test]
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fn test_normalize() {
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// TODO: test normalize_to, normalize_sel.0, and normalize_self_to
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assert_ulps_eq!(
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Vector2::new(3.0f64, 4.0f64).normalize(),
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&Vector2::new(3.0 / 5.0, 4.0 / 5.0)
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);
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assert_ulps_eq!(
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Vector3::new(2.0f64, 3.0f64, 6.0f64).normalize(),
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&Vector3::new(2.0 / 7.0, 3.0 / 7.0, 6.0 / 7.0)
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);
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assert_ulps_eq!(
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Vector4::new(1.0f64, 2.0f64, 4.0f64, 10.0f64).normalize(),
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&Vector4::new(1.0 / 11.0, 2.0 / 11.0, 4.0 / 11.0, 10.0 / 11.0)
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);
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}
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#[test]
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fn test_project_on() {
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assert_ulps_eq!(
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Vector2::new(-1.0f64, 5.0).project_on(Vector2::new(2.0, 4.0)),
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&Vector2::new(9.0 / 5.0, 18.0 / 5.0)
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);
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assert_ulps_eq!(
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Vector3::new(5.0f64, 6.0, 7.0).project_on(Vector3::new(1.0, 1.0, 1.0)),
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&Vector3::new(6.0, 6.0, 6.0)
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);
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assert_ulps_eq!(
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Vector4::new(0.0f64, -5.0, 5.0, 5.0).project_on(Vector4::new(0.0, 1.0, 0.0, 0.5)),
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&Vector4::new(0.0, -2.0, 0.0, -1.0)
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);
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}
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#[test]
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fn test_cast() {
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assert_ulps_eq!(
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Vector2::new(0.9f64, 1.5).cast().unwrap(),
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Vector2::new(0.9f32, 1.5)
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);
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assert_ulps_eq!(
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Vector3::new(1.0f64, 2.4, -3.13).cast().unwrap(),
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Vector3::new(1.0f32, 2.4, -3.13)
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);
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assert_ulps_eq!(
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Vector4::new(13.5f64, -4.6, -8.3, 2.41).cast().unwrap(),
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Vector4::new(13.5f32, -4.6, -8.3, 2.41)
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);
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}
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