| 1 | import math { tolerance, veryclose } |
| 2 | import math.vec |
| 3 | |
| 4 | fn test_vec3_int() { |
| 5 | mut v1 := vec.vec3(0, 0, 0) |
| 6 | mut v2 := vec.vec3(0, 0, 0) |
| 7 | assert v1 == v2 |
| 8 | v1.one() |
| 9 | v2.one() |
| 10 | assert v1.x == 1 |
| 11 | assert v1.y == 1 |
| 12 | assert v1.z == 1 |
| 13 | assert v1 == v2 |
| 14 | |
| 15 | v3 := v1 + v2 |
| 16 | assert typeof(v3).name == 'vec.Vec3[int]' |
| 17 | assert v3.x == 2 |
| 18 | assert v3.y == 2 |
| 19 | assert v3.z == 2 |
| 20 | } |
| 21 | |
| 22 | fn test_vec3_f32() { |
| 23 | mut v1 := vec.vec3(f32(0), 0, 0) |
| 24 | mut v2 := vec.vec3(f32(0), 0, 0) |
| 25 | assert v1 == v2 |
| 26 | v1.one() |
| 27 | v2.one() |
| 28 | assert v1.x == 1 |
| 29 | assert v1.y == 1 |
| 30 | assert v1.z == 1 |
| 31 | assert v1 == v2 |
| 32 | |
| 33 | v3 := v1 + v2 |
| 34 | assert typeof(v3).name == 'vec.Vec3[f32]' |
| 35 | assert v3.x == 2 |
| 36 | assert v3.y == 2 |
| 37 | assert v3.z == 2 |
| 38 | } |
| 39 | |
| 40 | fn test_vec3_f64() { |
| 41 | mut v1 := vec.vec3(0.0, 0, 0) |
| 42 | mut v2 := vec.vec3(0.0, 0, 0) |
| 43 | assert v1 == v2 |
| 44 | v1.one() |
| 45 | v2.one() |
| 46 | assert v1.x == 1 |
| 47 | assert v1.y == 1 |
| 48 | assert v1.z == 1 |
| 49 | assert v1 == v2 |
| 50 | |
| 51 | v3 := v1 + v2 |
| 52 | assert typeof(v3).name == 'vec.Vec3[f64]' |
| 53 | assert v3.x == 2 |
| 54 | assert v3.y == 2 |
| 55 | assert v3.z == 2 |
| 56 | } |
| 57 | |
| 58 | fn test_vec3_f64_utils_1() { |
| 59 | mut v1 := vec.vec3(2.0, 3.0, 1.5) |
| 60 | mut v2 := vec.vec3(1.0, 4.0, 1.5) |
| 61 | |
| 62 | mut zv := vec.vec3(5.0, 5.0, 5.0) |
| 63 | zv.zero() |
| 64 | |
| 65 | v3 := v1 + v2 |
| 66 | assert v3.x == 3 |
| 67 | assert v3.y == 7 |
| 68 | assert v3.z == 3 |
| 69 | |
| 70 | v1l := vec.vec3(6.0, 2.0, -3.0) |
| 71 | assert v1l.magnitude() == 7 |
| 72 | |
| 73 | mut ctv1 := vec.vec3(0.000001, 0.000001, 0.000001) |
| 74 | ctv1.clean_tolerance(0.00001) |
| 75 | assert ctv1 == zv |
| 76 | } |
| 77 | |
| 78 | fn test_vec3_f64_utils_2() { |
| 79 | mut v1 := vec.vec3(4.0, 4.0, 8.0) |
| 80 | assert v1.unit().magnitude() == 1 |
| 81 | v2 := v1.mul_scalar(0.5) |
| 82 | assert v2.x == 2 |
| 83 | assert v2.y == 2 |
| 84 | assert v2.z == 4 |
| 85 | assert v2.unit().magnitude() == 1 |
| 86 | |
| 87 | invv2 := v2.inv() |
| 88 | assert invv2.x == 0.5 |
| 89 | assert invv2.y == 0.5 |
| 90 | assert invv2.z == 0.25 |
| 91 | } |
| 92 | |
| 93 | // sample tests for vec3 projection |
| 94 | fn test_vec3_project_onto_basic() { |
| 95 | v := vec.vec3(5.0, 6.0, 0.0) // magnitude ~7.81 vector |
| 96 | u := vec.vec3(3.0, 4.0, 0.0) // magnitude 5 vector |
| 97 | // hand-computed: |
| 98 | // v·u = 5*3 + 6*4 + 0*0 = 39 |
| 99 | // |u|^2 = 3^2 + 4^2 +0^2 = 25 |
| 100 | // scale = 39/25 = 1.56 |
| 101 | // proj = scale * u = (1.56*3, 1.56*4, 1.56*0) = (4.68, 6.24, 0) |
| 102 | proj := v.project(u) |
| 103 | assert veryclose(proj.x, 4.68) |
| 104 | assert veryclose(proj.y, 6.24) |
| 105 | assert veryclose(proj.z, 0.0) |
| 106 | } |
| 107 | |
| 108 | // Test for Vec3 projection onto zero vector |
| 109 | // |
| 110 | fn test_vec3_project_onto_zero() { |
| 111 | v := vec.vec3(0.0, 0.0, 0.0) |
| 112 | u := vec.vec3(3.0, 4.0, 0.0) |
| 113 | proj := v.project(u) |
| 114 | assert proj.x == 0.0 |
| 115 | assert proj.y == 0.0 |
| 116 | assert proj.z == 0.0 |
| 117 | } |
| 118 | |
| 119 | // Test for vec3 projection at an angle |
| 120 | // |
| 121 | fn test_vec3_project_onto_angle() { |
| 122 | v := vec.vec3(1.0, 1.0, 0.0) // magnitude sqrt(2) vector |
| 123 | u := vec.vec3(1.0, 0.0, 0.0) // magnitude 1 vector |
| 124 | // hand-computed: |
| 125 | // v·u = 1*1 + 1*0 + 0*0 = 1 |
| 126 | // |u|^2 = 1^2 + 0^2 +0^2 = 1 |
| 127 | // scale = 1/1 = 1 |
| 128 | // proj = scale * u = (1*1, 1*0, 1*0) = (1, 0, 0) |
| 129 | proj := v.project(u) |
| 130 | assert veryclose(proj.x, 1.0) |
| 131 | assert veryclose(proj.y, 0.0) |
| 132 | assert veryclose(proj.z, 0.0) |
| 133 | } |
| 134 | |
| 135 | // Test for perpendicularity |
| 136 | // 'u' and 'v' are already perpendicular so it must return v |
| 137 | fn test_vec3_perpendicularity_angle() { |
| 138 | u := vec.vec3(1.0, 0.0, 0.0) |
| 139 | v := vec.vec3(0.0, 3.0, 2.0) |
| 140 | |
| 141 | per := v.perpendicular(u) |
| 142 | assert tolerance(per.x, v.x, vec.vec_epsilon) |
| 143 | assert tolerance(per.y, v.y, vec.vec_epsilon) |
| 144 | assert tolerance(per.z, v.z, vec.vec_epsilon) |
| 145 | } |
| 146 | |
| 147 | // 'u' and 'v' are collinear so the result must be the null vector |
| 148 | fn test_vec3_collinear() { |
| 149 | u := vec.vec3(1.0, 0.0, 0.0) |
| 150 | v := vec.vec3(3.0, 0.0, 0.0) |
| 151 | |
| 152 | per := v.perpendicular(u) |
| 153 | assert tolerance(per.x, 0.0, vec.vec_epsilon) |
| 154 | assert tolerance(per.y, 0.0, vec.vec_epsilon) |
| 155 | assert tolerance(per.z, 0.0, vec.vec_epsilon) |
| 156 | } |
| 157 | |