66 lines
2.6 KiB
Rust
66 lines
2.6 KiB
Rust
use na::{Rotation3, Unit, UnitComplex};
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use crate::aliases::{TMat4, TVec2, TVec3, TVec4};
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use crate::RealNumber;
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/// Build the rotation matrix needed to align `normal` and `up`.
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pub fn orientation<T: RealNumber>(normal: &TVec3<T>, up: &TVec3<T>) -> TMat4<T> {
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if let Some(r) = Rotation3::rotation_between(normal, up) {
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r.to_homogeneous()
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} else {
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TMat4::identity()
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}
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}
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/// Rotate a two dimensional vector.
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pub fn rotate_vec2<T: RealNumber>(v: &TVec2<T>, angle: T) -> TVec2<T> {
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UnitComplex::new(angle) * v
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}
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/// Rotate a three dimensional vector around an axis.
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pub fn rotate_vec3<T: RealNumber>(v: &TVec3<T>, angle: T, normal: &TVec3<T>) -> TVec3<T> {
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Rotation3::from_axis_angle(&Unit::new_normalize(*normal), angle) * v
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}
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/// Rotate a thee dimensional vector in homogeneous coordinates around an axis.
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pub fn rotate_vec4<T: RealNumber>(v: &TVec4<T>, angle: T, normal: &TVec3<T>) -> TVec4<T> {
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Rotation3::from_axis_angle(&Unit::new_normalize(*normal), angle).to_homogeneous() * v
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}
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/// Rotate a three dimensional vector around the `X` axis.
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pub fn rotate_x_vec3<T: RealNumber>(v: &TVec3<T>, angle: T) -> TVec3<T> {
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Rotation3::from_axis_angle(&TVec3::x_axis(), angle) * v
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}
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/// Rotate a three dimensional vector in homogeneous coordinates around the `X` axis.
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pub fn rotate_x_vec4<T: RealNumber>(v: &TVec4<T>, angle: T) -> TVec4<T> {
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Rotation3::from_axis_angle(&TVec3::x_axis(), angle).to_homogeneous() * v
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}
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/// Rotate a three dimensional vector around the `Y` axis.
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pub fn rotate_y_vec3<T: RealNumber>(v: &TVec3<T>, angle: T) -> TVec3<T> {
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Rotation3::from_axis_angle(&TVec3::y_axis(), angle) * v
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}
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/// Rotate a three dimensional vector in homogeneous coordinates around the `Y` axis.
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pub fn rotate_y_vec4<T: RealNumber>(v: &TVec4<T>, angle: T) -> TVec4<T> {
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Rotation3::from_axis_angle(&TVec3::y_axis(), angle).to_homogeneous() * v
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}
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/// Rotate a three dimensional vector around the `Z` axis.
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pub fn rotate_z_vec3<T: RealNumber>(v: &TVec3<T>, angle: T) -> TVec3<T> {
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Rotation3::from_axis_angle(&TVec3::z_axis(), angle) * v
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}
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/// Rotate a three dimensional vector in homogeneous coordinates around the `Z` axis.
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pub fn rotate_z_vec4<T: RealNumber>(v: &TVec4<T>, angle: T) -> TVec4<T> {
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Rotation3::from_axis_angle(&TVec3::z_axis(), angle).to_homogeneous() * v
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}
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/// Computes a spherical linear interpolation between the vectors `x` and `y` assumed to be normalized.
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pub fn slerp<T: RealNumber>(x: &TVec3<T>, y: &TVec3<T>, a: T) -> TVec3<T> {
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Unit::new_unchecked(*x)
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.slerp(&Unit::new_unchecked(*y), a)
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.into_inner()
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}
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