bdef86ea6e
# Objective Models can be produced that do not have vertex tangents but do have normal map textures. The tangents can be generated. There is a way that the vertex tangents can be generated to be exactly invertible to avoid introducing error when recreating the normals in the fragment shader. ## Solution - After attempts to get https://github.com/gltf-rs/mikktspace to integrate simple glam changes and version bumps, and releases of that crate taking weeks / not being made (no offense intended to the authors/maintainers, bevy just has its own timelines and needs to take care of) it was decided to fork that repository. The following steps were taken: - mikktspace was forked to https://github.com/bevyengine/mikktspace in order to preserve the repository's history in case the original is ever taken down - The README in that repo was edited to add a note stating from where the repository was forked and explaining why - The repo was locked for changes as its only purpose is historical - The repo was integrated into the bevy repo using `git subtree add --prefix crates/bevy_mikktspace git@github.com:bevyengine/mikktspace.git master` - In `bevy_mikktspace`: - The travis configuration was removed - `cargo fmt` was run - The `Cargo.toml` was conformed to bevy's (just adding bevy to the keywords, changing the homepage and repository, changing the version to 0.7.0-dev - importantly the license is exactly the same) - Remove the features, remove `nalgebra` entirely, only use `glam`, suppress clippy. - This was necessary because our CI runs clippy with `--all-features` and the `nalgebra` and `glam` features are mutually exclusive, plus I don't want to modify this highly numerically-sensitive code just to appease clippy and diverge even more from upstream. - Rebase https://github.com/bevyengine/bevy/pull/1795 - @jakobhellermann said it was fine to copy and paste but it ended up being almost exactly the same with just a couple of adjustments when validating correctness so I decided to actually rebase it and then build on top of it. - Use the exact same fragment shader code to ensure correct normal mapping. - Tested with both https://github.com/KhronosGroup/glTF-Sample-Models/tree/master/2.0/NormalTangentMirrorTest which has vertex tangents and https://github.com/KhronosGroup/glTF-Sample-Models/tree/master/2.0/NormalTangentTest which requires vertex tangent generation Co-authored-by: alteous <alteous@outlook.com>
890 lines
23 KiB
Rust
890 lines
23 KiB
Rust
#![allow(
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clippy::bool_assert_comparison,
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clippy::useless_conversion,
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clippy::redundant_else,
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clippy::match_same_arms,
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clippy::semicolon_if_nothing_returned,
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clippy::explicit_iter_loop,
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clippy::map_flatten
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)]
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use bevy_mikktspace::{generate_tangents, Geometry};
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use glam::{Vec2, Vec3};
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pub type Face = [u32; 3];
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#[derive(Debug)]
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struct Vertex {
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position: Vec3,
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normal: Vec3,
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tex_coord: Vec2,
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}
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#[derive(Debug, PartialEq)]
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struct Result {
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tangent: [f32; 3],
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bi_tangent: [f32; 3],
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mag_s: f32,
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mag_t: f32,
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bi_tangent_preserves_orientation: bool,
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face: usize,
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vert: usize,
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}
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impl Result {
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fn new(
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tangent: [f32; 3],
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bi_tangent: [f32; 3],
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mag_s: f32,
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mag_t: f32,
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bi_tangent_preserves_orientation: bool,
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face: usize,
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vert: usize,
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) -> Self {
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Self {
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tangent,
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bi_tangent,
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mag_s,
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mag_t,
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bi_tangent_preserves_orientation,
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face,
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vert,
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}
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}
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}
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struct Mesh {
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faces: Vec<Face>,
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vertices: Vec<Vertex>,
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}
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struct Context {
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mesh: Mesh,
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results: Vec<Result>,
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}
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fn vertex(mesh: &Mesh, face: usize, vert: usize) -> &Vertex {
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let vs: &[u32; 3] = &mesh.faces[face];
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&mesh.vertices[vs[vert] as usize]
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}
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impl Geometry for Context {
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fn num_faces(&self) -> usize {
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self.mesh.faces.len()
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}
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fn num_vertices_of_face(&self, _face: usize) -> usize {
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3
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}
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fn position(&self, face: usize, vert: usize) -> [f32; 3] {
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vertex(&self.mesh, face, vert).position.into()
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}
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fn normal(&self, face: usize, vert: usize) -> [f32; 3] {
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vertex(&self.mesh, face, vert).normal.into()
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}
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fn tex_coord(&self, face: usize, vert: usize) -> [f32; 2] {
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vertex(&self.mesh, face, vert).tex_coord.into()
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}
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fn set_tangent(
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&mut self,
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tangent: [f32; 3],
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bi_tangent: [f32; 3],
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mag_s: f32,
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mag_t: f32,
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bi_tangent_preserves_orientation: bool,
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face: usize,
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vert: usize,
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) {
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self.results.push(Result {
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tangent,
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bi_tangent,
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mag_s,
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mag_t,
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bi_tangent_preserves_orientation,
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face,
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vert,
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})
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}
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}
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struct ControlPoint {
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uv: [f32; 2],
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dir: [f32; 3],
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}
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impl ControlPoint {
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fn new(uv: [f32; 2], dir: [f32; 3]) -> Self {
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Self { uv, dir }
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}
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}
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fn make_cube() -> Mesh {
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let mut faces = Vec::new();
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let mut ctl_pts = Vec::new();
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let mut vertices = Vec::new();
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// +x plane
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{
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let base = ctl_pts.len() as u32;
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faces.push([base, base + 1, base + 4]);
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faces.push([base + 1, base + 2, base + 4]);
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faces.push([base + 2, base + 3, base + 4]);
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faces.push([base + 3, base, base + 4]);
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ctl_pts.push(ControlPoint::new([0.0, 0.0], [1.0, -1.0, 1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 1.0], [1.0, -1.0, -1.0]));
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ctl_pts.push(ControlPoint::new([1.0, 1.0], [1.0, 1.0, -1.0]));
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ctl_pts.push(ControlPoint::new([1.0, 0.0], [1.0, 1.0, 1.0]));
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ctl_pts.push(ControlPoint::new([0.5, 0.5], [1.0, 0.0, 0.0]));
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}
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// -x plane
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{
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let base = ctl_pts.len() as u32;
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faces.push([base, base + 1, base + 4]);
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faces.push([base + 1, base + 2, base + 4]);
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faces.push([base + 2, base + 3, base + 4]);
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faces.push([base + 3, base, base + 4]);
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ctl_pts.push(ControlPoint::new([1.0, 0.0], [-1.0, 1.0, 1.0]));
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ctl_pts.push(ControlPoint::new([1.0, 1.0], [-1.0, 1.0, -1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 1.0], [-1.0, -1.0, -1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 0.0], [-1.0, -1.0, 1.0]));
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ctl_pts.push(ControlPoint::new([0.5, 0.5], [-1.0, 0.0, 0.0]));
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}
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// +y plane
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{
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let base = ctl_pts.len() as u32;
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faces.push([base, base + 1, base + 4]);
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faces.push([base + 1, base + 2, base + 4]);
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faces.push([base + 2, base + 3, base + 4]);
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faces.push([base + 3, base, base + 4]);
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ctl_pts.push(ControlPoint::new([0.0, 0.0], [1.0, 1.0, 1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 1.0], [1.0, 1.0, -1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 1.0], [-1.0, 1.0, -1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 0.0], [-1.0, 1.0, 1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 0.5], [0.0, 1.0, 0.0]));
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}
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// -y plane
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{
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let base = ctl_pts.len() as u32;
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faces.push([base, base + 1, base + 4]);
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faces.push([base + 1, base + 2, base + 4]);
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faces.push([base + 2, base + 3, base + 4]);
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faces.push([base + 3, base, base + 4]);
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ctl_pts.push(ControlPoint::new([0.0, 0.0], [-1.0, -1.0, 1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 1.0], [-1.0, -1.0, -1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 1.0], [1.0, -1.0, -1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 0.0], [1.0, -1.0, 1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 0.5], [0.0, -1.0, 0.0]));
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}
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// +z plane
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{
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let base = ctl_pts.len() as u32;
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faces.push([base, base + 1, base + 4]);
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faces.push([base + 1, base + 2, base + 4]);
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faces.push([base + 2, base + 3, base + 4]);
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faces.push([base + 3, base, base + 4]);
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ctl_pts.push(ControlPoint::new([0.0, 0.0], [-1.0, 1.0, 1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 1.0], [-1.0, -1.0, 1.0]));
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ctl_pts.push(ControlPoint::new([1.0, 1.0], [1.0, -1.0, 1.0]));
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ctl_pts.push(ControlPoint::new([1.0, 0.0], [1.0, 1.0, 1.0]));
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ctl_pts.push(ControlPoint::new([0.5, 0.5], [0.0, 0.0, 1.0]));
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}
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// -z plane
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{
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let base = ctl_pts.len() as u32;
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faces.push([base, base + 1, base + 4]);
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faces.push([base + 1, base + 2, base + 4]);
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faces.push([base + 2, base + 3, base + 4]);
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faces.push([base + 3, base, base + 4]);
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ctl_pts.push(ControlPoint::new([1.0, 0.0], [1.0, 1.0, -1.0]));
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ctl_pts.push(ControlPoint::new([1.0, 1.0], [1.0, -1.0, -1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 1.0], [-1.0, -1.0, -1.0]));
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ctl_pts.push(ControlPoint::new([0.0, 0.0], [-1.0, 1.0, -1.0]));
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ctl_pts.push(ControlPoint::new([0.5, 0.5], [0.0, 0.0, -1.0]));
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}
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for pt in ctl_pts {
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let p: Vec3 = pt.dir.into();
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let n: Vec3 = p.normalize();
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let t: Vec2 = pt.uv.into();
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vertices.push(Vertex {
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position: (p / 2.0).into(),
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normal: n.into(),
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tex_coord: t.into(),
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});
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}
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Mesh { faces, vertices }
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}
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#[test]
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fn cube_tangents_should_equal_reference_values() {
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let mut context = Context {
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mesh: make_cube(),
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results: Vec::new(),
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};
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let ret = generate_tangents(&mut context);
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assert_eq!(true, ret);
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let expected_results: Vec<Result> = vec![
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Result::new(
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[0.40824825, 0.81649655, 0.40824825],
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[0.40824825, -0.40824825, -0.81649655],
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1.00000000,
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1.00000000,
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false,
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0,
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0,
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),
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Result::new(
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[0.40824825, 0.81649655, -0.40824825],
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[-0.40824825, 0.40824825, -0.81649655],
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1.00000000,
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1.00000000,
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false,
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0,
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1,
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),
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Result::new(
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[0.00000000, 1.00000000, 0.00000000],
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[0.00000000, 0.00000000, -1.00000000],
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1.00000000,
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1.00000000,
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false,
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0,
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2,
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),
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Result::new(
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[0.40824825, 0.81649655, -0.40824825],
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[-0.40824825, 0.40824825, -0.81649655],
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1.00000000,
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1.00000000,
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false,
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1,
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0,
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),
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Result::new(
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[-0.40824825, 0.81649655, 0.40824825],
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[-0.40824825, -0.40824825, -0.81649655],
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1.00000000,
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1.00000000,
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false,
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1,
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1,
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),
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Result::new(
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[0.00000000, 1.00000000, 0.00000000],
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[0.00000000, 0.00000000, -1.00000000],
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1.00000000,
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1.00000000,
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false,
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1,
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2,
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),
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Result::new(
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[-0.40824825, 0.81649655, 0.40824825],
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[-0.40824825, -0.40824825, -0.81649655],
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1.00000000,
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|
1.00000000,
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false,
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2,
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0,
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),
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Result::new(
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[-0.40824825, 0.81649655, -0.40824825],
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[0.40824825, 0.40824825, -0.81649655],
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1.00000000,
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|
1.00000000,
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|
false,
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2,
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|
1,
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|
),
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Result::new(
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[0.00000000, 1.00000000, 0.00000000],
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[0.00000000, 0.00000000, -1.00000000],
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1.00000000,
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|
1.00000000,
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false,
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2,
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2,
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),
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Result::new(
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[-0.40824825, 0.81649655, -0.40824825],
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[0.40824825, 0.40824825, -0.81649655],
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1.00000000,
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|
1.00000000,
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false,
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3,
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0,
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),
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Result::new(
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[0.40824825, 0.81649655, 0.40824825],
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[0.40824825, -0.40824825, -0.81649655],
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1.00000000,
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|
1.00000000,
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false,
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3,
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1,
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|
),
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Result::new(
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[0.00000000, 1.00000000, 0.00000000],
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[0.00000000, 0.00000000, -1.00000000],
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|
1.00000000,
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|
1.00000000,
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false,
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3,
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|
2,
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|
),
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|
Result::new(
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|
[0.40824825, 0.81649655, -0.40824825],
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|
[-0.40824825, 0.40824825, -0.81649655],
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|
1.00000000,
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|
1.00000000,
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|
true,
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|
4,
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|
0,
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|
),
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|
Result::new(
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|
[0.40824825, 0.81649655, 0.40824825],
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|
[0.40824825, -0.40824825, -0.81649655],
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|
1.00000000,
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|
1.00000000,
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|
true,
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|
4,
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|
1,
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|
),
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|
Result::new(
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|
[0.00000000, 1.00000000, 0.00000000],
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|
[0.00000000, 0.00000000, -1.00000000],
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|
1.00000000,
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|
1.00000000,
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|
true,
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|
4,
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|
2,
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),
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|
Result::new(
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|
[0.40824825, 0.81649655, 0.40824825],
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|
[0.40824825, -0.40824825, -0.81649655],
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|
1.00000000,
|
|
1.00000000,
|
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true,
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5,
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0,
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|
),
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|
Result::new(
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|
[-0.40824825, 0.81649655, -0.40824825],
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|
[0.40824825, 0.40824825, -0.81649655],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
5,
|
|
1,
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|
),
|
|
Result::new(
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
[0.00000000, 0.00000000, -1.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
5,
|
|
2,
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|
),
|
|
Result::new(
|
|
[-0.40824825, 0.81649655, -0.40824825],
|
|
[0.40824825, 0.40824825, -0.81649655],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
6,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[-0.40824825, 0.81649655, 0.40824825],
|
|
[-0.40824825, -0.40824825, -0.81649655],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
6,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
[0.00000000, 0.00000000, -1.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
6,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[-0.40824825, 0.81649655, 0.40824825],
|
|
[-0.40824825, -0.40824825, -0.81649655],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
7,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[0.40824825, 0.81649655, -0.40824825],
|
|
[-0.40824825, 0.40824825, -0.81649655],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
7,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
[0.00000000, 0.00000000, -1.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
7,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
8,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
8,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
8,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
9,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
9,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
9,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
10,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
10,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
10,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
11,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
11,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
11,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[-0.40824825, 0.81649655, 0.40824825],
|
|
[-0.40824825, -0.40824825, -0.81649655],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
12,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[-0.40824825, 0.81649655, -0.40824825],
|
|
[0.40824825, 0.40824825, -0.81649655],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
12,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
12,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
13,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[0.40824825, 0.81649655, -0.40824825],
|
|
[-0.40824825, 0.40824825, -0.81649655],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
13,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
13,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[0.40824825, 0.81649655, -0.40824825],
|
|
[-0.40824825, 0.40824825, -0.81649655],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
14,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[0.40824825, 0.81649655, 0.40824825],
|
|
[0.40824825, -0.40824825, -0.81649655],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
14,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
14,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[0.40824825, 0.81649655, 0.40824825],
|
|
[0.40824825, -0.40824825, -0.81649655],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
15,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
15,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, 1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
15,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[0.81649655, 0.40824825, 0.40824825],
|
|
[-0.40824825, -0.81649655, 0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
16,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[0.81649655, -0.40824825, 0.40824825],
|
|
[0.40824825, -0.81649655, -0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
16,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, -1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
16,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[0.81649655, -0.40824825, 0.40824825],
|
|
[0.40824825, -0.81649655, -0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
17,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[0.81649655, 0.40824825, -0.40824825],
|
|
[-0.40824825, -0.81649655, -0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
17,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, -1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
17,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[0.81649655, 0.40824825, -0.40824825],
|
|
[-0.40824825, -0.81649655, -0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
18,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[0.81649655, -0.40824825, -0.40824825],
|
|
[0.40824825, -0.81649655, 0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
18,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, -1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
18,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[0.81649655, -0.40824825, -0.40824825],
|
|
[0.40824825, -0.81649655, 0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
19,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[0.81649655, 0.40824825, 0.40824825],
|
|
[-0.40824825, -0.81649655, 0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
19,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, -1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
false,
|
|
19,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[0.81649655, -0.40824825, 0.40824825],
|
|
[0.40824825, -0.81649655, -0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
20,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[0.81649655, 0.40824825, 0.40824825],
|
|
[-0.40824825, -0.81649655, 0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
20,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, -1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
20,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[0.81649655, 0.40824825, 0.40824825],
|
|
[-0.40824825, -0.81649655, 0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
21,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[0.81649655, -0.40824825, -0.40824825],
|
|
[0.40824825, -0.81649655, 0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
21,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, -1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
21,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[0.81649655, -0.40824825, -0.40824825],
|
|
[0.40824825, -0.81649655, 0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
22,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[0.81649655, 0.40824825, -0.40824825],
|
|
[-0.40824825, -0.81649655, -0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
22,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, -1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
22,
|
|
2,
|
|
),
|
|
Result::new(
|
|
[0.81649655, 0.40824825, -0.40824825],
|
|
[-0.40824825, -0.81649655, -0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
23,
|
|
0,
|
|
),
|
|
Result::new(
|
|
[0.81649655, -0.40824825, 0.40824825],
|
|
[0.40824825, -0.81649655, -0.40824825],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
23,
|
|
1,
|
|
),
|
|
Result::new(
|
|
[1.00000000, 0.00000000, 0.00000000],
|
|
[0.00000000, -1.00000000, 0.00000000],
|
|
1.00000000,
|
|
1.00000000,
|
|
true,
|
|
23,
|
|
2,
|
|
),
|
|
];
|
|
|
|
assert_eq!(expected_results, context.results);
|
|
}
|