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use gemlab::mesh::{Features, Samples};
use gemlab::StrError;
use std::collections::HashMap;
#[test]
fn test_normal_vectors_2d() -> Result<(), StrError> {
// 3---------2---------5
// | | |
// | [0] | [1] |
// | | |
// 0---------1---------4
let mesh = Samples::two_qua4();
let features = Features::new(&mesh, false);
// the magnitude (l) of the normal vector should be equal to
// 0.5 = edge_length / 2.0 where 2.0 corresponds to the edge_length in the reference system
let l = 0.5; // magnitude of normal vector
// edge keys and correct normal vectors (solutions)
let solutions = HashMap::from([
((0, 1), (l, [0.0, -1.0])), // bottom
((1, 4), (l, [0.0, -1.0])), // bottom
((4, 5), (l, [1.0, 0.0])), // right
((2, 3), (l, [0.0, 1.0])), // top
((2, 5), (l, [0.0, 1.0])), // top
((0, 3), (l, [-1.0, 0.0])), // left
]);
// check if the normal vectors at boundary are outward
mesh.check_2d_edge_normals(&features.edges, &solutions, 1e-15)
.expect("ok");
Ok(())
}
#[test]
fn test_normal_vectors_2d_qua8() -> Result<(), StrError> {
// 14------16------13------20------18
// | | |
// | | |
// 17 15 19
// | | |
// | | |
// 3-------6-------2------12-------9
// | | |
// | | |
// 7 5 11
// | | |
// | | |
// 0-------4-------1------10-------8
let mesh = Samples::block_2d_four_qua8();
let features = Features::new(&mesh, false);
// the magnitude (l) of the normal vector should be equal to
// 0.5 = edge_length / 2.0 where 2.0 corresponds to the edge_length in the reference system
let l = 0.5; // magnitude of normal vector
// edge keys and correct normal vectors (solutions)
let solutions = HashMap::from([
((0, 1), (l, [0.0, -1.0])), // bottom
((1, 8), (l, [0.0, -1.0])), // bottom
((8, 9), (l, [1.0, 0.0])), // right
((9, 18), (l, [1.0, 0.0])), // right
((13, 14), (l, [0.0, 1.0])), // top
((13, 18), (l, [0.0, 1.0])), // top
((0, 3), (l, [-1.0, 0.0])), // left
((3, 14), (l, [-1.0, 0.0])), // left
]);
// check if the normal vectors at boundary are outward
mesh.check_2d_edge_normals(&features.edges, &solutions, 1e-15)
.expect("ok");
Ok(())
}
#[test]
fn test_normal_vectors_2d_qua9() -> Result<(), StrError> {
// 16------18------15------23------21
// | | |
// | | |
// 19 20 17 24 22
// | | |
// | | |
// 3-------6-------2------13------10
// | | |
// | | |
// 7 8 5 14 12
// | | |
// | | |
// 0-------4-------1------11-------9
let mesh = Samples::block_2d_four_qua9();
let features = Features::new(&mesh, false);
// the magnitude (l) of the normal vector should be equal to
// 0.5 = edge_length / 2.0 where 2.0 corresponds to the edge_length in the reference system
let l = 0.5; // magnitude of normal vector
// edge keys and correct normal vectors (solutions)
let solutions = HashMap::from([
((0, 1), (l, [0.0, -1.0])), // bottom
((1, 9), (l, [0.0, -1.0])), // bottom
((9, 10), (l, [1.0, 0.0])), // right
((10, 21), (l, [1.0, 0.0])), // right
((15, 16), (l, [0.0, 1.0])), // top
((15, 21), (l, [0.0, 1.0])), // top
((0, 3), (l, [-1.0, 0.0])), // left
((3, 16), (l, [-1.0, 0.0])), // left
]);
// check if the normal vectors at boundary are outward
mesh.check_2d_edge_normals(&features.edges, &solutions, 1e-15)
.expect("ok");
Ok(())
}
#[test]
fn test_normal_vectors_2d_qua12() -> Result<(), StrError> {
// 21---26---23----20---32---30----28
// | | |
// 24 25 31
// | | |
// 27 22 29
// | | |
// 3---10-----6----2---19---16----13
// | | |
// 7 9 18
// | | |
// 11 5 15
// | | |
// 0----4-----8----1---14---17----12
let mesh = Samples::block_2d_four_qua12();
let features = Features::new(&mesh, false);
// the magnitude (l) of the normal vector should be equal to
// 0.75 = edge_length / 2.0 where 2.0 corresponds to the edge_length in the reference system
let l = 0.75; // magnitude of normal vector
// edge keys and correct normal vectors (solutions)
let solutions = HashMap::from([
((0, 1), (l, [0.0, -1.0])), // bottom
((1, 12), (l, [0.0, -1.0])), // bottom
((12, 13), (l, [1.0, 0.0])), // right
((13, 28), (l, [1.0, 0.0])), // right
((20, 21), (l, [0.0, 1.0])), // top
((20, 28), (l, [0.0, 1.0])), // top
((0, 3), (l, [-1.0, 0.0])), // left
((3, 21), (l, [-1.0, 0.0])), // left
]);
// check if the normal vectors at boundary are outward
mesh.check_2d_edge_normals(&features.edges, &solutions, 1e-15)
.expect("ok");
Ok(())
}
#[test]
fn test_normal_vectors_2d_qua16() -> Result<(), StrError> {
// 29---34----31---28---44---42----40
// | | |
// 32 39 38 33 48 47 43
// | | |
// 35 36 37 30 45 46 41
// | | |
// 3---10-----6----2---23---20----17
// | | |
// 7 15 14 9 27 26 22
// | | |
// 11 12 13 5 24 25 19
// | | |
// 0----4-----8----1---18---21----16
let mesh = Samples::block_2d_four_qua16();
let features = Features::new(&mesh, false);
// the magnitude (l) of the normal vector should be equal to
// 0.75 = edge_length / 2.0 where 2.0 corresponds to the edge_length in the reference system
let l = 0.75; // magnitude of normal vector
// edge keys and correct normal vectors (solutions)
let solutions = HashMap::from([
((0, 1), (l, [0.0, -1.0])), // bottom
((1, 16), (l, [0.0, -1.0])), // bottom
((16, 17), (l, [1.0, 0.0])), // right
((17, 40), (l, [1.0, 0.0])), // right
((28, 29), (l, [0.0, 1.0])), // top
((28, 40), (l, [0.0, 1.0])), // top
((0, 3), (l, [-1.0, 0.0])), // left
((3, 29), (l, [-1.0, 0.0])), // left
]);
// check if the normal vectors at boundary are outward
mesh.check_2d_edge_normals(&features.edges, &solutions, 1e-15)
.expect("ok");
Ok(())
}
#[test]
fn test_normal_vectors_2d_qua17() -> Result<(), StrError> {
// 30---38---35---32---29---47---45---43---41
// | | |
// 33 37 46
// | | |
// 36 40 34 48 44
// | | |
// 39 31 42
// | | |
// 3---14---10----6----2---27---24---21---18
// | | |
// 7 13 26
// | | |
// 11 16 9 28 23
// | | |
// 15 5 20
// | | |
// 0----4----8---12----1---19---22---25---17
let mesh = Samples::block_2d_four_qua17();
let features = Features::new(&mesh, false);
// the magnitude (l) of the normal vector should be equal to
// 1.0 = edge_length / 2.0 where 2.0 corresponds to the edge_length in the reference system
let l = 1.0; // magnitude of normal vector
// edge keys and correct normal vectors (solutions)
let solutions = HashMap::from([
((0, 1), (l, [0.0, -1.0])), // bottom
((1, 17), (l, [0.0, -1.0])), // bottom
((17, 18), (l, [1.0, 0.0])), // right
((18, 41), (l, [1.0, 0.0])), // right
((29, 30), (l, [0.0, 1.0])), // top
((29, 41), (l, [0.0, 1.0])), // top
((0, 3), (l, [-1.0, 0.0])), // left
((3, 30), (l, [-1.0, 0.0])), // left
]);
// check if the normal vectors at boundary are outward
mesh.check_2d_edge_normals(&features.edges, &solutions, 1e-15)
.expect("ok");
Ok(())
}
#[test]
fn test_normal_vectors_3d() -> Result<(), StrError> {
// 8-------------11
// /. /|
// / . / |
// / . / |
// / . / |
// 9-------------10 |
// | . | |
// | 4---------|----7
// | /. | /|
// | / . | / |
// | / . | / |
// |/ . |/ |
// 5--------------6 |
// | . | |
// | 0---------|----3
// | / | /
// | / | /
// | / | /
// |/ |/
// 1--------------2
let mesh = Samples::two_hex8();
let features = Features::new(&mesh, false);
// the magnitude (l) of the normal vector should be equal to
// 0.25 = face_area / 4.0 where 4.0 corresponds to the face_area in the reference system
let l = 0.25; // magnitude of normal vector
// face keys and correct normal vectors (solutions)
let solutions = HashMap::from([
((0, 3, 4, 7), (l, [-1.0, 0.0, 0.0])), // behind
((4, 7, 8, 11), (l, [-1.0, 0.0, 0.0])), // behind
((1, 2, 5, 6), (l, [1.0, 0.0, 0.0])), // front
((5, 6, 9, 10), (l, [1.0, 0.0, 0.0])), // front
((0, 1, 4, 5), (l, [0.0, -1.0, 0.0])), // left
((4, 5, 8, 9), (l, [0.0, -1.0, 0.0])), // left
((2, 3, 6, 7), (l, [0.0, 1.0, 0.0])), // right
((6, 7, 10, 11), (l, [0.0, 1.0, 0.0])), // right
((0, 1, 2, 3), (l, [0.0, 0.0, -1.0])), // bottom
((8, 9, 10, 11), (l, [0.0, 0.0, 1.0])), // top
]);
// check if the normal vectors at boundary are outward
mesh.check_face_normals(&features.faces, &solutions, 1e-15).expect("ok");
Ok(())
}
#[test]
fn test_normal_vectors_3d_hex20() -> Result<(), StrError> {
// 51--------58--------54--------74--------71
// /. /. /|
// / . / . / |
// 55 . 57 . 73 |
// / . / . / |
// / . / . / |
// 52--------56--------53--------72--------70 |
// /. . /. . /| |
// / . 59 / . 62 / | 76
// 65 . . 67 . . 79 | |
// / . . / . . / | |
// / . . / . . / | |
// 63========66========64========78========77 | |
// | . . | . . | | |
// | 60 . | 61 . | 75 |
// | . 4 - - - |15 - . - - 7 - - - |41 - | - -35
// | . /. | . /. | | /|
// | . / . | . / . | | / |
// | . 12 . | . 14 . | | 40 |
// | . / . | . / . | | / |
// 68 ./ . 69 ./ . 80 |/ |
// | 5 - - - -13 - | - - 6 - - - -39 - | - -34 |
// | /. . | /. . | /| |
// | / . 16 | / . 19 | / | 43
// | 27 . . | 29 . . | 49 | |
// | / . . | / . . | / | |
// |/ . . |/ . . |/ | |
// 22========28========23========48========45 | |
// | . . | . . | | |
// | 17 . | 18 . | 42 |
// | . 0 - - - |11 - . - - 3 - - - |38 - | - -33
// | . / | . / | | /
// | . / | . / | | /
// | . 8 | . 10 | | 37
// | . / | . / | | /
// 30 ./ 31 ./ 50 |/
// | 1 - - - - 9 - | - - 2 - - - -36 - | - -32
// | / | / | /
// | / | / | /
// | 24 | 26 | 47
// | / | / | /
// |/ |/ |/
// 20========25========21========46========44
let mesh = Samples::block_3d_eight_hex20();
let features = Features::new(&mesh, false);
// the magnitude (l) of the normal vector should be equal to
// face_area / 4.0 where 4.0 corresponds to the face_area in the reference system
// face keys and correct normal vectors (solutions)
let solutions = HashMap::from([
((0, 1, 2, 3), (0.25, [0.0, 0.0, -1.0])),
((52, 53, 63, 64), (0.25, [0.0, 0.0, 1.0])),
((4, 7, 51, 54), (0.5, [-1.0, 0.0, 0.0])),
((34, 45, 70, 77), (0.5, [0.0, 1.0, 0.0])),
]);
// check if the normal vectors at boundary are outward
mesh.check_face_normals(&features.faces, &solutions, 1e-15).expect("ok");
Ok(())
}