import math { tolerance, veryclose } import math.vec fn test_vec3_int() { mut v1 := vec.vec3(0, 0, 0) mut v2 := vec.vec3(0, 0, 0) assert v1 == v2 v1.one() v2.one() assert v1.x == 1 assert v1.y == 1 assert v1.z == 1 assert v1 == v2 v3 := v1 + v2 assert typeof(v3).name == 'vec.Vec3[int]' assert v3.x == 2 assert v3.y == 2 assert v3.z == 2 } fn test_vec3_f32() { mut v1 := vec.vec3(f32(0), 0, 0) mut v2 := vec.vec3(f32(0), 0, 0) assert v1 == v2 v1.one() v2.one() assert v1.x == 1 assert v1.y == 1 assert v1.z == 1 assert v1 == v2 v3 := v1 + v2 assert typeof(v3).name == 'vec.Vec3[f32]' assert v3.x == 2 assert v3.y == 2 assert v3.z == 2 } fn test_vec3_f64() { mut v1 := vec.vec3(0.0, 0, 0) mut v2 := vec.vec3(0.0, 0, 0) assert v1 == v2 v1.one() v2.one() assert v1.x == 1 assert v1.y == 1 assert v1.z == 1 assert v1 == v2 v3 := v1 + v2 assert typeof(v3).name == 'vec.Vec3[f64]' assert v3.x == 2 assert v3.y == 2 assert v3.z == 2 } fn test_vec3_f64_utils_1() { mut v1 := vec.vec3(2.0, 3.0, 1.5) mut v2 := vec.vec3(1.0, 4.0, 1.5) mut zv := vec.vec3(5.0, 5.0, 5.0) zv.zero() v3 := v1 + v2 assert v3.x == 3 assert v3.y == 7 assert v3.z == 3 v1l := vec.vec3(6.0, 2.0, -3.0) assert v1l.magnitude() == 7 mut ctv1 := vec.vec3(0.000001, 0.000001, 0.000001) ctv1.clean_tolerance(0.00001) assert ctv1 == zv } fn test_vec3_f64_utils_2() { mut v1 := vec.vec3(4.0, 4.0, 8.0) assert v1.unit().magnitude() == 1 v2 := v1.mul_scalar(0.5) assert v2.x == 2 assert v2.y == 2 assert v2.z == 4 assert v2.unit().magnitude() == 1 invv2 := v2.inv() assert invv2.x == 0.5 assert invv2.y == 0.5 assert invv2.z == 0.25 } // sample tests for vec3 projection fn test_vec3_project_onto_basic() { v := vec.vec3(5.0, 6.0, 0.0) // magnitude ~7.81 vector u := vec.vec3(3.0, 4.0, 0.0) // magnitude 5 vector // hand-computed: // v·u = 5*3 + 6*4 + 0*0 = 39 // |u|^2 = 3^2 + 4^2 +0^2 = 25 // scale = 39/25 = 1.56 // proj = scale * u = (1.56*3, 1.56*4, 1.56*0) = (4.68, 6.24, 0) proj := v.project(u) assert veryclose(proj.x, 4.68) assert veryclose(proj.y, 6.24) assert veryclose(proj.z, 0.0) } // Test for Vec3 projection onto zero vector // fn test_vec3_project_onto_zero() { v := vec.vec3(0.0, 0.0, 0.0) u := vec.vec3(3.0, 4.0, 0.0) proj := v.project(u) assert proj.x == 0.0 assert proj.y == 0.0 assert proj.z == 0.0 } // Test for vec3 projection at an angle // fn test_vec3_project_onto_angle() { v := vec.vec3(1.0, 1.0, 0.0) // magnitude sqrt(2) vector u := vec.vec3(1.0, 0.0, 0.0) // magnitude 1 vector // hand-computed: // v·u = 1*1 + 1*0 + 0*0 = 1 // |u|^2 = 1^2 + 0^2 +0^2 = 1 // scale = 1/1 = 1 // proj = scale * u = (1*1, 1*0, 1*0) = (1, 0, 0) proj := v.project(u) assert veryclose(proj.x, 1.0) assert veryclose(proj.y, 0.0) assert veryclose(proj.z, 0.0) } // Test for perpendicularity // 'u' and 'v' are already perpendicular so it must return v fn test_vec3_perpendicularity_angle() { u := vec.vec3(1.0, 0.0, 0.0) v := vec.vec3(0.0, 3.0, 2.0) per := v.perpendicular(u) assert tolerance(per.x, v.x, vec.vec_epsilon) assert tolerance(per.y, v.y, vec.vec_epsilon) assert tolerance(per.z, v.z, vec.vec_epsilon) } // 'u' and 'v' are collinear so the result must be the null vector fn test_vec3_collinear() { u := vec.vec3(1.0, 0.0, 0.0) v := vec.vec3(3.0, 0.0, 0.0) per := v.perpendicular(u) assert tolerance(per.x, 0.0, vec.vec_epsilon) assert tolerance(per.y, 0.0, vec.vec_epsilon) assert tolerance(per.z, 0.0, vec.vec_epsilon) }