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| 1 | +# Core Math functions |
| 2 | + |
| 3 | +### Table of Contents |
| 4 | + |
| 5 | +1. Creating Vectors and Matrices |
| 6 | +2. Accessing Vector Components |
| 7 | +3. Vector and Matrix Operations |
| 8 | +4. Binding Core Math Functions |
| 9 | + |
| 10 | +### Creating Vectors and Matrices |
| 11 | + |
| 12 | +#### Creating `vec2` objects |
| 13 | + |
| 14 | +```lua |
| 15 | +local v1 = vec2() |
| 16 | +local v2 = vec2(1.0) |
| 17 | +local v3 = vec2(1.0, 2.0) |
| 18 | +``` |
| 19 | + |
| 20 | +#### Creating `vec3` objects |
| 21 | + |
| 22 | +```lua |
| 23 | +local v1 = glm.vec3() |
| 24 | +local v2 = glm.vec3(1.0) |
| 25 | +local v3 = glm.vec3(1.0, 2.0, 3.0) |
| 26 | +``` |
| 27 | + |
| 28 | +#### Creating `vec4` objects |
| 29 | + |
| 30 | +```lua |
| 31 | +local v1 = glm.vec4() |
| 32 | +local v2 = glm.vec4(1.0) |
| 33 | +local v3 = glm.vec4(1.0, 2.0, 3.0, 4.0) |
| 34 | +``` |
| 35 | + |
| 36 | +#### Creating `mat3` objects |
| 37 | + |
| 38 | +```lua |
| 39 | +local m1 = glm.mat3() |
| 40 | +local m2 = glm.mat3(1.0) |
| 41 | +local m3 = glm.mat3(glm.mat4()) |
| 42 | +local m4 = glm.mat3(1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 1.0) |
| 43 | +``` |
| 44 | + |
| 45 | +### Accessing Vector Components |
| 46 | + |
| 47 | +#### Accessing `vec2` components |
| 48 | + |
| 49 | +```lua |
| 50 | +local x = vec2.x |
| 51 | +local y = vec2.y |
| 52 | +``` |
| 53 | + |
| 54 | +#### Accessing `vec3` components |
| 55 | + |
| 56 | +```lua |
| 57 | +local x = vec3.x |
| 58 | +local y = vec3.y |
| 59 | +local z = vec3.z |
| 60 | +``` |
| 61 | + |
| 62 | +#### Accessing `vec4` components |
| 63 | + |
| 64 | +```lua |
| 65 | +local x = vec4.x |
| 66 | +local y = vec4.y |
| 67 | +local z = vec4.z |
| 68 | +local w = vec4.w |
| 69 | +``` |
| 70 | + |
| 71 | +### Vector and Matrix Operations |
| 72 | + |
| 73 | +#### Addition |
| 74 | + |
| 75 | +```lua |
| 76 | +local result = vecA + vecB |
| 77 | +local result = vecA + scalar |
| 78 | +local result = scalar + vecA |
| 79 | +``` |
| 80 | + |
| 81 | +#### Subtraction |
| 82 | + |
| 83 | +```lua |
| 84 | +local result = vecA - vecB |
| 85 | +local result = vecA - scalar |
| 86 | +local result = scalar - vecA |
| 87 | +``` |
| 88 | + |
| 89 | +#### Multiplication |
| 90 | + |
| 91 | +```lua |
| 92 | +local result = vecA * vecB |
| 93 | +local result = vecA * scalar |
| 94 | +local result = scalar * vecA |
| 95 | +local result = matA * vecA |
| 96 | +``` |
| 97 | + |
| 98 | +#### Division |
| 99 | + |
| 100 | +```lua |
| 101 | +local result = vecA / vecB |
| 102 | +local result = vecA / scalar |
| 103 | +local result = scalar / vecA |
| 104 | +``` |
| 105 | + |
| 106 | +#### Constants |
| 107 | + |
| 108 | +```lua |
| 109 | +local pi = glm.pi |
| 110 | +local half_pi = glm.half_pi |
| 111 | +local quarter_pi = glm.quarter_pi |
| 112 | +local two_pi = glm.two_pi |
| 113 | +``` |
| 114 | + |
| 115 | +#### Functions |
| 116 | + |
| 117 | +```lua |
| 118 | +local sqrt_result = glm.sqrt(x) |
| 119 | +local pow_result = glm.pow(x, y) |
| 120 | +local exp_result = glm.exp(x |
| 121 | +``` |
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