1 module wavefront.geometry; 2 3 import std.math; 4 import std.conv; 5 6 7 alias Vec2!float Vec2f; 8 alias Vec2!int Vec2i; 9 alias Vec3!float Vec3f; 10 alias Vec3!int Vec3i; 11 12 struct Vec2(T) { 13 union { 14 struct { T u, v;}; 15 struct { T x, y;}; 16 T[2] raw; 17 } 18 19 this (T _x, T _y) 20 { 21 x = _x; 22 y = _y; 23 } 24 25 Vec2!T opBinary(string op)(Vec2!T V) if (op == "+") 26 { 27 return Vec2!T(x+V.x, y+V.y); 28 } 29 30 Vec2!T opBinary(string op)(Vec2!T V) if (op == "-") 31 { 32 return Vec2!T(x-V.x, y-V.y); 33 } 34 35 Vec2!T opBinary(string op)(float f) if (op == "*") 36 { 37 return Vec2!T(cast(T)(x*f), cast(T)(y*f)); 38 } 39 40 string toString() 41 { 42 return "(" ~ to!string(x) ~ ", " ~ to!string(y) ~ ")"; 43 } 44 } 45 46 struct Vec3(T) { 47 union { 48 struct { T x, y, z;}; 49 struct { T ivert, iuv, inorm;} 50 T[3] raw; 51 } 52 53 this (T _x, T _y, T _z) 54 { 55 x = _x; 56 y = _y; 57 z = _z; 58 } 59 60 auto opBinary(string op)(Vec3!T V) if (op == "^") 61 { 62 return Vec3(y*V.z-z*V.y, z*V.x-x*V.z, x*V.y-y*V.x); 63 } 64 65 auto opBinary(string op)(Vec3!T V) if (op == "+") 66 { 67 return Vec3(x+V.x, x+V.x, z+V.z); 68 } 69 70 auto opBinary(string op)(Vec3!T V) if (op == "-") 71 { 72 return Vec3(x-V.x, y-V.y, z-V.z); 73 } 74 75 auto opBinary(string op)(float f) if (op == "*") 76 { 77 return Vec3!T(cast(T)(x*f), cast(T)(y*f), cast(T)(z*f)); 78 } 79 80 auto opBinary(string op)(Vec3!T V) if (op == "*") 81 { 82 return x*V.x + y*V.y + z*V.z; 83 } 84 85 auto norm () 86 { 87 return sqrt(cast(float)x*x+y*y+z*z); 88 } 89 90 auto normalize (T l=1) 91 { 92 this = this * cast(T)(l/norm()); 93 return this; 94 } 95 96 string toString() 97 { 98 return "(" ~ to!string(x) ~ ", " ~ to!string(y) ~ ", " ~ to!string(z) ~ ")"; 99 } 100 }