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glam 0.29.3

A simple and fast 3D math library for games and graphics
Documentation
#[macro_export]
macro_rules! glam_test {
    ($name:ident, $block:block) => {
        #[cfg_attr(not(target_arch = "wasm32"), test)]
        #[cfg_attr(target_arch = "wasm32", wasm_bindgen_test::wasm_bindgen_test)]
        fn $name() {
            $block
        }
    };
}

#[macro_export]
macro_rules! should_panic {
    ($block:block) => {{
        #[cfg(all(feature = "std", panic = "unwind"))]
        assert!(std::panic::catch_unwind(|| $block).is_err());
    }};
}

#[macro_export]
macro_rules! should_glam_assert {
    ($block:block) => {{
        #[cfg(any(feature = "glam-assert", feature = "debug-glam-assert"))]
        should_panic!($block);
    }};
}

#[macro_export]
macro_rules! assert_approx_eq {
    ($a:expr, $b:expr) => {{
        #[allow(unused_imports)]
        use $crate::support::FloatCompare;
        let eps = f32::EPSILON;
        let (a, b) = (&$a, &$b);
        assert!(
            a.approx_eq(b, eps),
            "assertion failed: `(left !== right)` \
             (left: `{:?}`, right: `{:?}`, expect diff: `{:?}`, real diff: `{:?}`)",
            *a,
            *b,
            eps,
            a.abs_diff(b)
        );
    }};
    ($a:expr, $b:expr, $eps:expr) => {{
        use $crate::support::FloatCompare;
        let (a, b) = (&$a, &$b);
        let eps = $eps;
        assert!(
            a.approx_eq(b, $eps),
            "assertion failed: `(left !== right)` \
             (left: `{:?}`, right: `{:?}`, expect diff: `{:?}`, real diff: `{:?}`)",
            *a,
            *b,
            eps,
            a.abs_diff(b)
        );
    }};
    ($a:expr, $b:expr, $eps:expr, $ctx:expr) => {{
        use $crate::support::FloatCompare;
        let (a, b) = (&$a, &$b);
        let eps = $eps;
        assert!(
            a.approx_eq(b, $eps),
            "assertion failed: `(left !== right)` \
             (left: `{:?}`, right: `{:?}`, expect diff: `{:?}`, real diff: `{:?}`), \
             additional context: {}",
            *a,
            *b,
            eps,
            a.abs_diff(b),
            $ctx
        );
    }};
}

/// Test vector normalization for float vector
#[macro_export]
macro_rules! impl_vec_float_normalize_tests {
    ($t:ident, $vec:ident) => {
        /// Works for vec2, vec3, vec4
        fn from_x_y(x: $t, y: $t) -> $vec {
            let mut v = $vec::ZERO;
            v.x = x;
            v.y = y;
            v
        }

        glam_test!(test_normalize, {
            assert_eq!(from_x_y(-42.0, 0.0).normalize(), from_x_y(-1.0, 0.0));
            assert_eq!(
                from_x_y($t::MAX.sqrt(), 0.0).normalize(),
                from_x_y(1.0, 0.0)
            );
            // assert_eq!(from_x_y($t::MAX, 0.0).normalize(), from_x_y(1.0, 0.0)); // normalize fails for huge vectors and returns zero

            // We expect not to be able to normalize small numbers:
            should_glam_assert!({ from_x_y(0.0, 0.0).normalize() });
            should_glam_assert!({ from_x_y($t::MIN_POSITIVE, 0.0).normalize() });

            // We expect not to be able to normalize non-finite vectors:
            should_glam_assert!({ from_x_y($t::INFINITY, 0.0).normalize() });
            should_glam_assert!({ from_x_y($t::NAN, 0.0).normalize() });
        });

        #[cfg(not(any(feature = "debug-glam-assert", feature = "glam-assert")))]
        glam_test!(test_normalize_no_glam_assert, {
            // We expect not to be able to normalize small numbers:
            assert!(!from_x_y(0.0, 0.0).normalize().is_finite());
            assert!(!from_x_y($t::MIN_POSITIVE, 0.0).normalize().is_finite());

            // We expect not to be able to normalize non-finite vectors:
            assert!(!from_x_y($t::INFINITY, 0.0).normalize().is_finite());
            assert!(!from_x_y($t::NAN, 0.0).normalize().is_finite());
        });

        glam_test!(test_try_normalize, {
            assert_eq!(
                from_x_y(-42.0, 0.0).try_normalize(),
                Some(from_x_y(-1.0, 0.0))
            );
            assert_eq!(
                from_x_y($t::MAX.sqrt(), 0.0).try_normalize(),
                Some(from_x_y(1.0, 0.0))
            );

            // We expect `try_normalize` to return None when inputs are very small:
            assert_eq!(from_x_y(0.0, 0.0).try_normalize(), None);
            assert_eq!(from_x_y($t::MIN_POSITIVE, 0.0).try_normalize(), None);

            // We expect `try_normalize` to return None when inputs are non-finite:
            assert_eq!(from_x_y($t::INFINITY, 0.0).try_normalize(), None);
            assert_eq!(from_x_y($t::NAN, 0.0).try_normalize(), None);

            // We expect `try_normalize` to return None when inputs are very large:
            assert_eq!(from_x_y($t::MAX, 0.0).try_normalize(), None);
            assert_eq!(from_x_y($t::MAX, $t::MAX).try_normalize(), None);
        });

        glam_test!(test_normalize_or, {
            assert_eq!(
                from_x_y(-42.0, 0.0).normalize_or($vec::Y),
                from_x_y(-1.0, 0.0)
            );
            assert_eq!(
                from_x_y($t::MAX.sqrt(), 0.0).normalize_or($vec::Y),
                from_x_y(1.0, 0.0)
            );

            // We expect `normalize_or` to return the fallback value when inputs are very small:
            assert_eq!(from_x_y(0.0, 0.0).normalize_or($vec::Y), $vec::Y);
            assert_eq!(
                from_x_y($t::MIN_POSITIVE, 0.0).normalize_or($vec::Y),
                $vec::Y
            );

            // We expect `normalize` to return zero when inputs are non-finite:
            assert_eq!(from_x_y($t::INFINITY, 0.0).normalize_or($vec::Y), $vec::Y);
            assert_eq!(from_x_y($t::NAN, 0.0).normalize_or($vec::Y), $vec::Y);

            // We expect `normalize` to return zero when inputs are very large:
            assert_eq!(from_x_y($t::MAX, 0.0).normalize_or($vec::Y), $vec::Y);
            assert_eq!(from_x_y($t::MAX, $t::MAX).normalize_or($vec::Y), $vec::Y);
        });

        glam_test!(test_normalize_or_zero, {
            assert_eq!(
                from_x_y(-42.0, 0.0).normalize_or_zero(),
                from_x_y(-1.0, 0.0)
            );
            assert_eq!(
                from_x_y($t::MAX.sqrt(), 0.0).normalize_or_zero(),
                from_x_y(1.0, 0.0)
            );

            // We expect `normalize_or_zero` to return zero when inputs are very small:
            assert_eq!(from_x_y(0.0, 0.0).normalize_or_zero(), $vec::ZERO);
            assert_eq!(
                from_x_y($t::MIN_POSITIVE, 0.0).normalize_or_zero(),
                $vec::ZERO
            );

            // We expect `normalize_or_zero` to return zero when inputs are non-finite:
            assert_eq!(from_x_y($t::INFINITY, 0.0).normalize_or_zero(), $vec::ZERO);
            assert_eq!(from_x_y($t::NAN, 0.0).normalize_or_zero(), $vec::ZERO);

            // We expect `normalize_or_zero` to return zero when inputs are very large:
            assert_eq!(from_x_y($t::MAX, 0.0).normalize_or_zero(), $vec::ZERO);
            assert_eq!(from_x_y($t::MAX, $t::MAX).normalize_or_zero(), $vec::ZERO);
        });
    };
}

/// Useful test vectors
#[macro_export]
macro_rules! vec3_float_test_vectors {
    ($vec3:ident) => {
        [
            $vec3::X,
            $vec3::Y,
            $vec3::Z,
            -$vec3::X,
            -$vec3::Y,
            -$vec3::Z,
            $vec3::new(1.0, 1e-3, 0.0),
            $vec3::new(1.0, 1e-4, 0.0),
            $vec3::new(1.0, 1e-5, 0.0),
            $vec3::new(1.0, 1e-6, 0.0),
            $vec3::new(1.0, 1e-7, 0.0),
            $vec3::new(1.0, 1e-14, 0.0),
            $vec3::new(1.0, 1e-15, 0.0),
            $vec3::new(1.0, 1e-16, 0.0),
            $vec3::new(0.1, 0.2, 0.3),
            $vec3::new(0.2, 0.3, 0.4),
            $vec3::new(4.0, -5.0, 6.0),
            $vec3::new(-2.0, 0.5, -1.0),
            // Pathological cases from <https://graphics.pixar.com/library/OrthonormalB/paper.pdf>:
            $vec3::new(0.00038527316, 0.00038460016, -0.99999988079),
            $vec3::new(-0.00019813581, -0.00008946839, -0.99999988079),
        ]
    };
}

#[macro_export]
macro_rules! vec2_float_test_vectors {
    ($vec2:ident) => {
        [
            $vec2::X,
            $vec2::Y,
            -$vec2::X,
            -$vec2::Y,
            $vec2::new(1.0, 1e-3),
            $vec2::new(1.0, 1e-4),
            $vec2::new(1.0, 1e-5),
            $vec2::new(1.0, 1e-6),
            $vec2::new(1.0, 1e-7),
            $vec2::new(1.0, 1e-14),
            $vec2::new(1.0, 1e-15),
            $vec2::new(1.0, 1e-16),
            $vec2::new(0.1, 0.2),
            $vec2::new(0.2, 0.3),
            $vec2::new(4.0, -5.0),
            $vec2::new(-2.0, 0.5),
            // Pathological cases from <https://graphics.pixar.com/library/OrthonormalB/paper.pdf>:
            $vec2::new(0.00038527316, 0.00038460016),
            $vec2::new(-0.00019813581, -0.00008946839),
        ]
    };
}

#[macro_export]
macro_rules! test_matrix_minor {
    ($n:expr, $minor:expr, $input:expr, $i:expr, $j:expr) => {
        let mut yy = 0;
        for y in 0..$n {
            if y != $j {
                let mut xx = 0;
                for x in 0..$n {
                    if x != $i {
                        assert_eq!($minor.col(xx)[yy], $input.col(x)[y]);
                        xx += 1;
                    }
                }
                yy += 1;
            }
        }
    };
}