cgmath/tests/vector.rs

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// 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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//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
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#[macro_use]
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extern crate cgmath;
use cgmath::*;
use std::f64;
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#[test]
fn test_constructor() {
assert_eq!(vec2(1f32, 2f32), Vector2::new(1f32, 2f32));
assert_eq!(vec3(1f64, 2f64, 3f64), Vector3::new(1f64, 2f64, 3f64));
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assert_eq!(vec4(1isize, 2isize, 3isize, 4isize), Vector4::new(1isize, 2isize, 3isize, 4isize));
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}
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#[test]
fn test_from_value() {
assert_eq!(Vector2::from_value(102isize), Vector2::new(102isize, 102isize));
assert_eq!(Vector3::from_value(22isize), Vector3::new(22isize, 22isize, 22isize));
assert_eq!(Vector4::from_value(76.5f64), Vector4::new(76.5f64, 76.5f64, 76.5f64, 76.5f64));
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}
#[test]
fn test_dot() {
assert_eq!(Vector2::new(1isize, 2isize).dot(Vector2::new(3isize, 4isize)), 11isize);
assert_eq!(Vector3::new(1isize, 2isize, 3isize).dot(Vector3::new(4isize, 5isize, 6isize)), 32isize);
assert_eq!(Vector4::new(1isize, 2isize, 3isize, 4isize).dot(Vector4::new(5isize, 6isize, 7isize, 8isize)), 70isize);
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}
#[test]
fn test_sum() {
assert_eq!(Vector2::new(1isize, 2isize).sum(), 3isize);
assert_eq!(Vector3::new(1isize, 2isize, 3isize).sum(), 6isize);
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);
assert_eq!(Vector3::new(4.0f64, 5.0f64, 6.0f64).sum(), 15.0f64);
assert_eq!(Vector4::new(5.0f64, 6.0f64, 7.0f64, 8.0f64).sum(), 26.0f64);
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}
#[test]
fn test_product() {
assert_eq!(Vector2::new(1isize, 2isize).product(), 2isize);
assert_eq!(Vector3::new(1isize, 2isize, 3isize).product(), 6isize);
assert_eq!(Vector4::new(1isize, 2isize, 3isize, 4isize).product(), 24isize);
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assert_eq!(Vector2::new(3.0f64, 4.0f64).product(), 12.0f64);
assert_eq!(Vector3::new(4.0f64, 5.0f64, 6.0f64).product(), 120.0f64);
assert_eq!(Vector4::new(5.0f64, 6.0f64, 7.0f64, 8.0f64).product(), 1680.0f64);
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}
#[test]
fn test_min() {
assert_eq!(Vector2::new(1isize, 2isize).min(), 1isize);
assert_eq!(Vector3::new(1isize, 2isize, 3isize).min(), 1isize);
assert_eq!(Vector4::new(1isize, 2isize, 3isize, 4isize).min(), 1isize);
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assert_eq!(Vector2::new(3.0f64, 4.0f64).min(), 3.0f64);
assert_eq!(Vector3::new(4.0f64, 5.0f64, 6.0f64).min(), 4.0f64);
assert_eq!(Vector4::new(5.0f64, 6.0f64, 7.0f64, 8.0f64).min(), 5.0f64);
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}
#[test]
fn test_max() {
assert_eq!(Vector2::new(1isize, 2isize).max(), 2isize);
assert_eq!(Vector3::new(1isize, 2isize, 3isize).max(), 3isize);
assert_eq!(Vector4::new(1isize, 2isize, 3isize, 4isize).max(), 4isize);
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assert_eq!(Vector2::new(3.0f64, 4.0f64).max(), 4.0f64);
assert_eq!(Vector3::new(4.0f64, 5.0f64, 6.0f64).max(), 6.0f64);
assert_eq!(Vector4::new(5.0f64, 6.0f64, 7.0f64, 8.0f64).max(), 8.0f64);
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}
#[test]
fn test_cross() {
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let a = Vector3::new(1isize, 2isize, 3isize);
let b = Vector3::new(4isize, 5isize, 6isize);
let r = Vector3::new(-3isize, 6isize, -3isize);
assert_eq!(a.cross(b), r);
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}
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#[test]
fn test_is_perpendicular() {
assert!(Vector2::new(1.0f64, 0.0f64).is_perpendicular(Vector2::new(0.0f64, 1.0f64)));
assert!(Vector3::new(0.0f64, 1.0f64, 0.0f64).is_perpendicular(Vector3::new(0.0f64, 0.0f64, 1.0f64)));
assert!(Vector4::new(1.0f64, 0.0f64, 0.0f64, 0.0f64).is_perpendicular(Vector4::new(0.0f64, 0.0f64, 0.0f64, 1.0f64)));
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}
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#[cfg(test)]
mod test_length {
use cgmath::*;
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#[test]
fn test_vector2(){
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let (a, a_res) = (Vector2::new(3.0f64, 4.0f64), 5.0f64); // (3, 4, 5) Pythagorean triple
let (b, b_res) = (Vector2::new(5.0f64, 12.0f64), 13.0f64); // (5, 12, 13) Pythagorean triple
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assert_eq!(a.length2(), a_res * a_res);
assert_eq!(b.length2(), b_res * b_res);
assert_eq!(a.length(), a_res);
assert_eq!(b.length(), b_res);
}
#[test]
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
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.length2(), a_res * a_res);
assert_eq!(b.length2(), b_res * b_res);
assert_eq!(a.length(), a_res);
assert_eq!(b.length(), b_res);
}
#[test]
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
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.length2(), a_res * a_res);
assert_eq!(b.length2(), b_res * b_res);
assert_eq!(a.length(), a_res);
assert_eq!(b.length(), b_res);
}
}
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#[test]
fn test_angle() {
assert!(Vector2::new(1.0f64, 0.0f64).angle(Vector2::new(0.0f64, 1.0f64)).approx_eq( &rad(f64::consts::FRAC_PI_2) ));
assert!(Vector2::new(10.0f64, 0.0f64).angle(Vector2::new(0.0f64, 5.0f64)).approx_eq( &rad(f64::consts::FRAC_PI_2) ));
assert!(Vector2::new(-1.0f64, 0.0f64).angle(Vector2::new(0.0f64, 1.0f64)).approx_eq( &-rad(f64::consts::FRAC_PI_2) ));
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assert!(Vector3::new(1.0f64, 0.0f64, 1.0f64).angle(Vector3::new(1.0f64, 1.0f64, 0.0f64)).approx_eq( &rad(f64::consts::FRAC_PI_3) ));
assert!(Vector3::new(10.0f64, 0.0f64, 10.0f64).angle(Vector3::new(5.0f64, 5.0f64, 0.0f64)).approx_eq( &rad(f64::consts::FRAC_PI_3) ));
assert!(Vector3::new(-1.0f64, 0.0f64, -1.0f64).angle(Vector3::new(1.0f64, -1.0f64, 0.0f64)).approx_eq( &rad(2.0f64 * f64::consts::FRAC_PI_3) ));
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assert!(Vector4::new(1.0f64, 0.0f64, 1.0f64, 0.0f64).angle(Vector4::new(0.0f64, 1.0f64, 0.0f64, 1.0f64)).approx_eq( &rad(f64::consts::FRAC_PI_2) ));
assert!(Vector4::new(10.0f64, 0.0f64, 10.0f64, 0.0f64).angle(Vector4::new(0.0f64, 5.0f64, 0.0f64, 5.0f64)).approx_eq( &rad(f64::consts::FRAC_PI_2) ));
assert!(Vector4::new(-1.0f64, 0.0f64, -1.0f64, 0.0f64).angle(Vector4::new(0.0f64, 1.0f64, 0.0f64, 1.0f64)).approx_eq( &rad(f64::consts::FRAC_PI_2) ));
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}
#[test]
fn test_normalize() {
// TODO: test normalize_to, normalize_sel.0, and normalize_self_to
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assert!(Vector2::new(3.0f64, 4.0f64).normalize().approx_eq( &Vector2::new(3.0/5.0, 4.0/5.0) ));
assert!(Vector3::new(2.0f64, 3.0f64, 6.0f64).normalize().approx_eq( &Vector3::new(2.0/7.0, 3.0/7.0, 6.0/7.0) ));
assert!(Vector4::new(1.0f64, 2.0f64, 4.0f64, 10.0f64).normalize().approx_eq( &Vector4::new(1.0/11.0, 2.0/11.0, 4.0/11.0, 10.0/11.0) ));
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}
#[test]
fn test_cast() {
assert_approx_eq!(Vector2::new(0.9f64, 1.5).cast(), Vector2::new(0.9f32, 1.5));
assert_approx_eq!(Vector3::new(1.0f64, 2.4, -3.13).cast(), Vector3::new(1.0f32, 2.4, -3.13));
assert_approx_eq!(Vector4::new(13.5f64, -4.6, -8.3, 2.41).cast(), Vector4::new(13.5f32, -4.6, -8.3, 2.41));
}