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annotate semiconginev2/core/vector.nim @ 1257:e9b8d87b9883

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fix: super stupid bug in perspective matrix X(
author sam <sam@basx.dev>
date Sun, 28 Jul 2024 18:55:46 +0700
parents b0f4c8ccd49a
children
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2 type
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3 TVec1*[T: SomeNumber] = array[1, T]
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4 TVec2*[T: SomeNumber] = array[2, T]
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5 TVec3*[T: SomeNumber] = array[3, T]
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6 TVec4*[T: SomeNumber] = array[4, T]
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7 TVec* = TVec1|TVec2|TVec3|TVec4
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8 Vec1f* = TVec1[float32]
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9 Vec2f* = TVec2[float32]
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10 Vec3f* = TVec3[float32]
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11 Vec4f* = TVec4[float32]
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12 Vec1i* = TVec1[int32]
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13 Vec2i* = TVec2[int32]
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14 Vec3i* = TVec3[int32]
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15 Vec4i* = TVec4[int32]
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16 Vec1u* = TVec1[uint32]
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17 Vec2u* = TVec2[uint32]
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18 Vec3u* = TVec3[uint32]
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19 Vec4u* = TVec4[uint32]
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20
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21 converter ToVec1*[T: SomeNumber](orig: TVec3[T]|TVec4[T]): TVec1[T] =
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22 TVec1[T]([orig[0]])
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23 converter ToVec2*[T: SomeNumber](orig: TVec3[T]|TVec4[T]): TVec2[T] =
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24 TVec2[T]([orig[0], orig[1]])
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25 converter ToVec3*[T: SomeNumber](orig: TVec4[T]): TVec3[T] =
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26 TVec3[T]([orig[0], orig[1], orig[2]])
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28 func ToVec4*[T: SomeNumber](orig: TVec3[T], value: T = default(T)): TVec4[T] =
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29 TVec4[T]([orig[0], orig[1], orig[2], value])
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30 func ToVec3*[T: SomeNumber](orig: TVec2[T], value: T = default(T)): TVec3[T] =
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31 TVec3[T]([orig[0], orig[1], value])
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32 func ToVec2*[T: SomeNumber](orig: TVec1[T], value: T = default(T)): TVec2[T] =
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33 TVec2[T]([orig[0], value])
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35 # define some often used constants
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36 func ConstOne1[T: SomeNumber](): auto {.compiletime.} = TVec1[T]([T(1)])
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37 func ConstOne2[T: SomeNumber](): auto {.compiletime.} = TVec2[T]([T(1), T(1)])
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38 func ConstOne3[T: SomeNumber](): auto {.compiletime.} = TVec3[T]([T(1), T(1), T(1)])
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39 func ConstOne4[T: SomeNumber](): auto {.compiletime.} = TVec4[T]([T(1), T(1), T(1), T(1)])
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40 func ConstX[T: SomeNumber](): auto {.compiletime.} = TVec3[T]([T(1), T(0), T(0)])
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41 func ConstY[T: SomeNumber](): auto {.compiletime.} = TVec3[T]([T(0), T(1), T(0)])
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42 func ConstZ[T: SomeNumber](): auto {.compiletime.} = TVec3[T]([T(0), T(0), T(1)])
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43 func ConstR[T: SomeNumber](): auto {.compiletime.} = TVec4[T]([T(1), T(0), T(0), T(1)])
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44 func ConstG[T: SomeNumber](): auto {.compiletime.} = TVec4[T]([T(0), T(1), T(0), T(1)])
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45 func ConstB[T: SomeNumber](): auto {.compiletime.} = TVec4[T]([T(0), T(0), T(1), T(1)])
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47 func NewVec2f*(x = 0'f32, y = 0'f32): auto =
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48 Vec2f([x, y])
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49 func NewVec3f*(x = 0'f32, y = 0'f32, z = 0'f32): auto =
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50 Vec3f([x, y, z])
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51 func NewVec4f*(x = 0'f32, y = 0'f32, z = 0'f32, a = 0'f32): auto =
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52 Vec4f([x, y, z, a])
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53 func NewVec2i*(x = 0'i32, y = 0'i32): auto =
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54 Vec2i([x, y])
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55 func NewVec3i*(x = 0'i32, y = 0'i32, z = 0'i32): auto =
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56 Vec3i([x, y, z])
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57 func NewVec4i*(x = 0'i32, y = 0'i32, z = 0'i32, a = 0'i32): auto =
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58 Vec4i([x, y, z, a])
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59 func NewVec2u*(x = 0'u32, y = 0'u32): auto =
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60 Vec2u([x, y])
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61 func NewVec3u*(x = 0'u32, y = 0'u32, z = 0'u32): auto =
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62 Vec3u([x, y, z])
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63 func NewVec4u*(x = 0'u32, y = 0'u32, z = 0'u32, a = 0'u32): auto =
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64 Vec4u([x, y, z, a])
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66 # generates constants: Xf, Xf32, Xf64, Xi, Xi8, Xi16, Xi32, Xi64
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67 # Also for Y, Z, R, G, B and One
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68 # not sure if this is necessary or even a good idea...
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69 macro generateAllVectorConsts() =
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70 result = newStmtList()
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71 for component in ["X", "Y", "Z", "R", "G", "B", "One2", "One3", "One4"]:
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72 for theType in ["int", "int8", "int16", "int32", "int64", "float", "float32", "float64"]:
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73 var typename = theType[0 .. 0]
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74 if theType[^2].isDigit:
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75 typename = typename & theType[^2]
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76 if theType[^1].isDigit:
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77 typename = typename & theType[^1]
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78 result.add(
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79 newConstStmt(
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80 postfix(ident(component & typename), "*"),
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81 newCall(nnkBracketExpr.newTree(ident("Const" & component), ident(theType)))
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82 )
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83 )
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85 generateAllVectorConsts()
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87 const X* = ConstX[float32]()
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88 const Y* = ConstY[float32]()
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89 const Z* = ConstZ[float32]()
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90 const R* = ConstR[float32]()
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91 const G* = ConstG[float32]()
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92 const B* = ConstB[float32]()
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93 const One1* = ConstOne1[float32]()
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94 const One2* = ConstOne2[float32]()
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95 const One3* = ConstOne3[float32]()
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96 const One4* = ConstOne4[float32]()
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97
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98 func NewVec1*[T](x: T): auto = TVec1([x])
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99 func NewVec2*[T](x, y: T): auto = TVec2([x, y])
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100 func NewVec3*[T](x, y, z: T): auto = TVec3([x, y, z])
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101 func NewVec4*[T](x, y, z, w: T): auto = TVec4([x, y, z, w])
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102
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103 func To*[T](v: TVec1): auto = TVec1([T(v[0])])
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104 func To*[T](v: TVec2): auto = TVec2([T(v[0]), T(v[1])])
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105 func To*[T](v: TVec3): auto = TVec3([T(v[0]), T(v[1]), T(v[2])])
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106 func To*[T](v: TVec4): auto = TVec4([T(v[0]), T(v[1]), T(v[2]), T(v[3])])
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107
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108 func toVecString[T: TVec](value: T): string =
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109 var items: seq[string]
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110 for item in value:
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111 items.add(&"{item.float:.5f}")
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112 & "(" & join(items, " ") & ")"
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113
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114 func `$`*(v: TVec1[SomeNumber]): string = toVecString[TVec1[SomeNumber]](v)
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115 func `$`*(v: TVec2[SomeNumber]): string = toVecString[TVec2[SomeNumber]](v)
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116 func `$`*(v: TVec3[SomeNumber]): string = toVecString[TVec3[SomeNumber]](v)
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117 func `$`*(v: TVec4[SomeNumber]): string = toVecString[TVec4[SomeNumber]](v)
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118
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119 func Length*(vec: TVec1): auto = vec[0]
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120 func Length*(vec: TVec2[SomeFloat]): auto = sqrt(vec[0] * vec[0] + vec[1] * vec[1])
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121 func Length*(vec: TVec2[SomeInteger]): auto = sqrt(float(vec[0] * vec[0] + vec[1] * vec[1]))
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122 func Length*(vec: TVec3[SomeFloat]): auto = sqrt(vec[0] * vec[0] + vec[1] * vec[1] + vec[2] * vec[2])
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123 func Length*(vec: TVec3[SomeInteger]): auto = sqrt(float(vec[0] * vec[0] + vec[1] * vec[1] + vec[2] * vec[2]))
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124 func Length*(vec: TVec4[SomeFloat]): auto = sqrt(vec[0] * vec[0] + vec[1] * vec[1] + vec[2] * vec[2] + vec[3] * vec[3])
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125 func Length*(vec: TVec4[SomeInteger]): auto = sqrt(float(vec[0] * vec[0] + vec[1] * vec[1] + vec[2] * vec[2] + vec[3] * vec[3]))
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126
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127 func Normal*[T: SomeFloat](vec: TVec2[T]): auto =
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128 TVec2[T]([vec[1], -vec[0]])
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129
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130 func Normalized*[T: SomeFloat](vec: TVec1[T]): auto =
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131 return T(1)
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132 func Normalized*[T: SomeFloat](vec: TVec2[T]): auto =
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sam <sam@basx.dev>
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133 let l = vec.Length
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134 if l == 0: vec
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Sam <sam@basx.dev>
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135 else: TVec2[T]([vec[0] / l, vec[1] / l])
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sam <sam@basx.dev>
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136 func Normalized*[T: SomeFloat](vec: TVec3[T]): auto =
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sam <sam@basx.dev>
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137 let l = vec.Length
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Sam <sam@basx.dev>
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138 if l == 0: return vec
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139 else: TVec3[T]([vec[0] / l, vec[1] / l, vec[2] / l])
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sam <sam@basx.dev>
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140 func Normalized*[T: SomeFloat](vec: TVec4[T]): auto =
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sam <sam@basx.dev>
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141 let l = vec.Length
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Sam <sam@basx.dev>
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142 if l == 0: return vec
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Sam <sam@basx.dev>
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143 else: TVec4[T]([vec[0] / l, vec[1] / l, vec[2] / l, vec[3] / l])
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Sam <sam@basx.dev>
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144
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Sam <sam@basx.dev>
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145 # scalar operations
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sam <sam@basx.dev>
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146 func `+`*(a: TVec1, b: SomeNumber): auto = TVec1([a[0] + b])
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Sam <sam@basx.dev>
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147 func `+`*(a: TVec2, b: SomeNumber): auto = TVec2([a[0] + b, a[1] + b])
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Sam <sam@basx.dev>
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148 func `+`*(a: TVec3, b: SomeNumber): auto = TVec3([a[0] + b, a[1] + b, a[2] + b])
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sam <sam@basx.dev>
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149 func `+`*(a: TVec4, b: SomeNumber): auto = TVec4([a[0] + b, a[1] + b, a[2] + b, a[3] + b])
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sam <sam@basx.dev>
parents: 1136
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150 func `-`*(a: TVec1, b: SomeNumber): auto = TVec1([a[0] - b])
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Sam <sam@basx.dev>
parents:
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151 func `-`*(a: TVec2, b: SomeNumber): auto = TVec2([a[0] - b, a[1] - b])
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Sam <sam@basx.dev>
parents:
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152 func `-`*(a: TVec3, b: SomeNumber): auto = TVec3([a[0] - b, a[1] - b, a[2] - b])
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Sam <sam@basx.dev>
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153 func `-`*(a: TVec4, b: SomeNumber): auto = TVec4([a[0] - b, a[1] - b, a[2] - b,
44ec744fbedc did: package restructuring according to nimble recommendation for libraries
Sam <sam@basx.dev>
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154 a[3] - b])
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sam <sam@basx.dev>
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155 func `*`*(a: TVec1, b: SomeNumber): auto = TVec1([a[0] * b])
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Sam <sam@basx.dev>
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156 func `*`*(a: TVec2, b: SomeNumber): auto = TVec2([a[0] * b, a[1] * b])
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Sam <sam@basx.dev>
parents:
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157 func `*`*(a: TVec3, b: SomeNumber): auto = TVec3([a[0] * b, a[1] * b, a[2] * b])
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Sam <sam@basx.dev>
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158 func `*`*(a: TVec4, b: SomeNumber): auto = TVec4([a[0] * b, a[1] * b, a[2] * b,
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Sam <sam@basx.dev>
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159 a[3] * b])
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sam <sam@basx.dev>
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160 func `/`*[T: SomeInteger](a: TVec1[T], b: SomeInteger): auto = TVec1([a[0] div b])
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sam <sam@basx.dev>
parents: 1136
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161 func `/`*[T: SomeFloat](a: TVec1[T], b: SomeFloat): auto = TVec1([a[0] / b])
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sam <sam@basx.dev>
parents: 1136
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162 func `/`*[T: SomeInteger](a: TVec2[T], b: SomeInteger): auto = TVec2([a[0] div b, a[1] div b])
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Sam <sam@basx.dev>
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163 func `/`*[T: SomeFloat](a: TVec2[T], b: SomeFloat): auto = TVec2([a[0] / b, a[1] / b])
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sam <sam@basx.dev>
parents: 1136
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164 func `/`*[T: SomeInteger](a: TVec3[T], b: SomeInteger): auto = TVec3([a[0] div b, a[1] div b, a[2] div b])
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sam <sam@basx.dev>
parents: 1136
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165 func `/`*[T: SomeFloat](a: TVec3[T], b: SomeFloat): auto = TVec3([a[0] / b, a[1] / b, a[2] / b])
565fcfde427a did: first seemingly working version of texture/descriptor stuff
sam <sam@basx.dev>
parents: 1136
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166 func `/`*[T: SomeInteger](a: TVec4[T], b: SomeInteger): auto = TVec4([a[0] div b, a[1] div b, a[2] div b, a[3] div b])
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sam <sam@basx.dev>
parents: 1136
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167 func `/`*[T: SomeFloat](a: TVec4[T], b: SomeFloat): auto = TVec4([a[0] / b, a[1] / b, a[2] / b, a[3] / b])
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Sam <sam@basx.dev>
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168
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169 func `+`*(a: SomeNumber, b: TVec1): auto = TVec1([a + b[0]])
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Sam <sam@basx.dev>
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170 func `+`*(a: SomeNumber, b: TVec2): auto = TVec2([a + b[0], a + b[1]])
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Sam <sam@basx.dev>
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171 func `+`*(a: SomeNumber, b: TVec3): auto = TVec3([a + b[0], a + b[1], a + b[2]])
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sam <sam@basx.dev>
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172 func `+`*(a: SomeNumber, b: TVec4): auto = TVec4([a + b[0], a + b[1], a + b[2], a + b[3]])
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sam <sam@basx.dev>
parents: 1136
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173 func `-`*(a: SomeNumber, b: TVec1): auto = TVec1([a - b[0]])
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Sam <sam@basx.dev>
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174 func `-`*(a: SomeNumber, b: TVec2): auto = TVec2([a - b[0], a - b[1]])
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Sam <sam@basx.dev>
parents:
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175 func `-`*(a: SomeNumber, b: TVec3): auto = TVec3([a - b[0], a - b[1], a - b[2]])
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sam <sam@basx.dev>
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176 func `-`*(a: SomeNumber, b: TVec4): auto = TVec4([a - b[0], a - b[1], a - b[2], a - b[3]])
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sam <sam@basx.dev>
parents: 1136
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177 func `*`*(a: SomeNumber, b: TVec1): auto = TVec1([a * b[0]])
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Sam <sam@basx.dev>
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178 func `*`*(a: SomeNumber, b: TVec2): auto = TVec2([a * b[0], a * b[1]])
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Sam <sam@basx.dev>
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179 func `*`*(a: SomeNumber, b: TVec3): auto = TVec3([a * b[0], a * b[1], a * b[2]])
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sam <sam@basx.dev>
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180 func `*`*(a: SomeNumber, b: TVec4): auto = TVec4([a * b[0], a * b[1], a * b[2], a * b[3]])
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sam <sam@basx.dev>
parents: 1136
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181 func `/`*[T: SomeInteger](a: SomeInteger, b: TVec1[T]): auto = TVec1([a div b[0]])
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sam <sam@basx.dev>
parents: 1136
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182 func `/`*[T: SomeFloat](a: SomeFloat, b: TVec1[T]): auto = TVec1([a / b[0]])
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sam <sam@basx.dev>
parents: 1136
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183 func `/`*[T: SomeInteger](a: SomeInteger, b: TVec2[T]): auto = TVec2([a div b[0], a div b[1]])
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184 func `/`*[T: SomeFloat](a: SomeFloat, b: TVec2[T]): auto = TVec2([a / b[0], a / b[1]])
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185 func `/`*[T: SomeInteger](a: SomeInteger, b: TVec3[T]): auto = TVec3([a div b[0], a div b[1], a div b[2]])
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sam <sam@basx.dev>
parents: 1136
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186 func `/`*[T: SomeFloat](a: SomeFloat, b: TVec3[T]): auto = TVec3([a / b[0], a / b[1], a / b[2]])
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187 func `/`*[T: SomeInteger](a: SomeInteger, b: TVec4[T]): auto = TVec4([a div b[
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188 0], a div b[1], a div b[2], a div b[3]])
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189 func `/`*[T: SomeFloat](a: SomeFloat, b: TVec4[T]): auto = TVec4([a / b[0], a /
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Sam <sam@basx.dev>
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190 b[1], a / b[2], a / b[3]])
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Sam <sam@basx.dev>
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191
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192 # compontent-wise operations
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193 func `+`*(a, b: TVec1): auto = TVec1([a[0] + b[0]])
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Sam <sam@basx.dev>
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194 func `+`*(a, b: TVec2): auto = TVec2([a[0] + b[0], a[1] + b[1]])
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Sam <sam@basx.dev>
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195 func `+`*(a, b: TVec3): auto = TVec3([a[0] + b[0], a[1] + b[1], a[2] + b[2]])
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sam <sam@basx.dev>
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196 func `+`*(a, b: TVec4): auto = TVec4([a[0] + b[0], a[1] + b[1], a[2] + b[2], a[3] + b[3]])
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sam <sam@basx.dev>
parents: 1136
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197 func `-`*(a: TVec1): auto = TVec1([-a[0]])
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Sam <sam@basx.dev>
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198 func `-`*(a: TVec2): auto = TVec2([-a[0], -a[1]])
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199 func `-`*(a: TVec3): auto = TVec3([-a[0], -a[1], -a[2]])
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Sam <sam@basx.dev>
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200 func `-`*(a: TVec4): auto = TVec4([-a[0], -a[1], -a[2], -a[3]])
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sam <sam@basx.dev>
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201 func `-`*(a, b: TVec1): auto = TVec1([a[0] - b[0]])
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Sam <sam@basx.dev>
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202 func `-`*(a, b: TVec2): auto = TVec2([a[0] - b[0], a[1] - b[1]])
44ec744fbedc did: package restructuring according to nimble recommendation for libraries
Sam <sam@basx.dev>
parents:
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203 func `-`*(a, b: TVec3): auto = TVec3([a[0] - b[0], a[1] - b[1], a[2] - b[2]])
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sam <sam@basx.dev>
parents: 1136
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204 func `-`*(a, b: TVec4): auto = TVec4([a[0] - b[0], a[1] - b[1], a[2] - b[2], a[3] - b[3]])
565fcfde427a did: first seemingly working version of texture/descriptor stuff
sam <sam@basx.dev>
parents: 1136
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205 func `*`*(a, b: TVec1): auto = TVec1([a[0] * b[0]])
840
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Sam <sam@basx.dev>
parents:
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206 func `*`*(a, b: TVec2): auto = TVec2([a[0] * b[0], a[1] * b[1]])
44ec744fbedc did: package restructuring according to nimble recommendation for libraries
Sam <sam@basx.dev>
parents:
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207 func `*`*(a, b: TVec3): auto = TVec3([a[0] * b[0], a[1] * b[1], a[2] * b[2]])
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sam <sam@basx.dev>
parents: 1136
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208 func `*`*(a, b: TVec4): auto = TVec4([a[0] * b[0], a[1] * b[1], a[2] * b[2], a[3] * b[3]])
565fcfde427a did: first seemingly working version of texture/descriptor stuff
sam <sam@basx.dev>
parents: 1136
diff changeset
209 func `/`*[T: SomeInteger](a, b: TVec1[T]): auto = TVec1([a[0] div b[0]])
565fcfde427a did: first seemingly working version of texture/descriptor stuff
sam <sam@basx.dev>
parents: 1136
diff changeset
210 func `/`*[T: SomeFloat](a, b: TVec1[T]): auto = TVec1([a[0] / b[0]])
565fcfde427a did: first seemingly working version of texture/descriptor stuff
sam <sam@basx.dev>
parents: 1136
diff changeset
211 func `/`*[T: SomeInteger](a, b: TVec2[T]): auto = TVec2([a[0] div b[0], a[1] div b[1]])
840
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Sam <sam@basx.dev>
parents:
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212 func `/`*[T: SomeFloat](a, b: TVec2[T]): auto = TVec2([a[0] / b[0], a[1] / b[1]])
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sam <sam@basx.dev>
parents: 1136
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213 func `/`*[T: SomeInteger](a, b: TVec3[T]): auto = TVec3([a[0] div b[0], a[1] div b[1], a[2] div b[2]])
565fcfde427a did: first seemingly working version of texture/descriptor stuff
sam <sam@basx.dev>
parents: 1136
diff changeset
214 func `/`*[T: SomeFloat](a, b: TVec3[T]): auto = TVec3([a[0] / b[0], a[1] / b[1], a[2] / b[2]])
565fcfde427a did: first seemingly working version of texture/descriptor stuff
sam <sam@basx.dev>
parents: 1136
diff changeset
215 func `/`*[T: SomeInteger](a, b: TVec4[T]): auto = TVec4([a[0] div b[0], a[1] div b[1], a[2] div b[2], a[3] div b[3]])
565fcfde427a did: first seemingly working version of texture/descriptor stuff
sam <sam@basx.dev>
parents: 1136
diff changeset
216 func `/`*[T: SomeFloat](a, b: TVec4[T]): auto = TVec4([a[0] / b[0], a[1] / b[1], a[2] / b[2], a[3] / b[3]])
840
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Sam <sam@basx.dev>
parents:
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217
1005
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sam <sam@basx.dev>
parents: 1004
diff changeset
218 # assignment operations, scalar
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sam <sam@basx.dev>
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219 func `+=`*(a: var TVec1, b: SomeNumber) = a = a + b
1005
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sam <sam@basx.dev>
parents: 1004
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220 func `+=`*(a: var TVec2, b: SomeNumber) = a = a + b
3845b9f1d27d add: assignment operator, normal 2D vector
sam <sam@basx.dev>
parents: 1004
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221 func `+=`*(a: var TVec3, b: SomeNumber) = a = a + b
3845b9f1d27d add: assignment operator, normal 2D vector
sam <sam@basx.dev>
parents: 1004
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222 func `+=`*(a: var TVec4, b: SomeNumber) = a = a + b
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sam <sam@basx.dev>
parents: 1136
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223 func `-=`*(a: var TVec1, b: SomeNumber) = a = a - b
1005
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sam <sam@basx.dev>
parents: 1004
diff changeset
224 func `-=`*(a: var TVec2, b: SomeNumber) = a = a - b
3845b9f1d27d add: assignment operator, normal 2D vector
sam <sam@basx.dev>
parents: 1004
diff changeset
225 func `-=`*(a: var TVec3, b: SomeNumber) = a = a - b
3845b9f1d27d add: assignment operator, normal 2D vector
sam <sam@basx.dev>
parents: 1004
diff changeset
226 func `-=`*(a: var TVec4, b: SomeNumber) = a = a - b
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sam <sam@basx.dev>
parents: 1136
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227 func `*=`*(a: var TVec1, b: SomeNumber) = a = a * b
1005
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sam <sam@basx.dev>
parents: 1004
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228 func `*=`*(a: var TVec2, b: SomeNumber) = a = a * b
3845b9f1d27d add: assignment operator, normal 2D vector
sam <sam@basx.dev>
parents: 1004
diff changeset
229 func `*=`*(a: var TVec3, b: SomeNumber) = a = a * b
3845b9f1d27d add: assignment operator, normal 2D vector
sam <sam@basx.dev>
parents: 1004
diff changeset
230 func `*=`*(a: var TVec4, b: SomeNumber) = a = a * b
1185
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sam <sam@basx.dev>
parents: 1136
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231 func `/=`*(a: var TVec1, b: SomeNumber) = a = a / b
1005
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sam <sam@basx.dev>
parents: 1004
diff changeset
232 func `/=`*(a: var TVec2, b: SomeNumber) = a = a / b
3845b9f1d27d add: assignment operator, normal 2D vector
sam <sam@basx.dev>
parents: 1004
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233 func `/=`*(a: var TVec3, b: SomeNumber) = a = a / b
3845b9f1d27d add: assignment operator, normal 2D vector
sam <sam@basx.dev>
parents: 1004
diff changeset
234 func `/=`*(a: var TVec4, b: SomeNumber) = a = a / b
3845b9f1d27d add: assignment operator, normal 2D vector
sam <sam@basx.dev>
parents: 1004
diff changeset
235 # assignment operations, vector
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sam <sam@basx.dev>
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236 func `+=`*(a: var TVec1, b: TVec1) = a = a + b
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237 func `+=`*(a: var TVec2, b: TVec2) = a = a + b
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238 func `+=`*(a: var TVec3, b: TVec3) = a = a + b
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239 func `+=`*(a: var TVec4, b: TVec4) = a = a + b
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240 func `-=`*(a: var TVec1, b: TVec1) = a = a - b
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241 func `-=`*(a: var TVec2, b: TVec2) = a = a - b
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242 func `-=`*(a: var TVec3, b: TVec3) = a = a - b
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243 func `-=`*(a: var TVec4, b: TVec4) = a = a - b
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244 func `*=`*(a: var TVec1, b: TVec1) = a = a * b
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245 func `*=`*(a: var TVec2, b: TVec2) = a = a * b
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246 func `*=`*(a: var TVec3, b: TVec3) = a = a * b
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247 func `*=`*(a: var TVec4, b: TVec4) = a = a * b
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248 func `/=`*(a: var TVec1, b: TVec1) = a = a / b
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249 func `/=`*(a: var TVec2, b: TVec2) = a = a / b
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250 func `/=`*(a: var TVec3, b: TVec3) = a = a / b
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251 func `/=`*(a: var TVec4, b: TVec4) = a = a / b
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252
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253
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254 # special operations
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255 func Pow*(a: TVec1, b: SomeNumber): auto =
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256 TVec1([pow(a[0], b)])
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257 func Pow*(a: TVec2, b: SomeNumber): auto =
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258 TVec2([pow(a[0], b), pow(a[1], b)])
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259 func Pow*(a: TVec3, b: SomeNumber): auto =
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260 TVec3([pow(a[0], b), pow(a[1], b), pow(a[2], b)])
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261 func Pow*(a: TVec4, b: SomeNumber): auto =
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262 TVec4([pow(a[0], b), pow(a[1], b), pow(a[2], b), pow(a[3], b)])
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263 func Dot*(a, b: TVec1): auto = a[0] * b[0]
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264 func Dot*(a, b: TVec2): auto = a[0] * b[0] + a[1] * b[1]
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265 func Dot*(a, b: TVec3): auto = a[0] * b[0] + a[1] * b[1] + a[2] * b[2]
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266 func Dot*(a, b: TVec4): auto = a[0] * b[0] + a[1] * b[1] + a[2] * b[2] + a[3] * b[3]
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267 func Cross*(a, b: TVec3): auto = TVec3([
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268 a[1] * b[2] - a[2] * b[1],
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269 a[2] * b[0] - a[0] * b[2],
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270 a[0] * b[1] - a[1] * b[0],
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271 ])
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272
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273
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274 # macro to allow creation of new vectors by specifying vector components as attributes
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275 # e.g. myVec.xxy will return a new Vec3 that contains the components x, x an y of the original vector
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276 # (instead of x, y, z for a simple copy)
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277 proc vectorAttributeAccessor(accessor: string): seq[NimNode] =
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278 const ACCESSOR_INDICES = {
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279 'x': 0,
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280 'y': 1,
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281 'z': 2,
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282 'w': 3,
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283 'r': 0,
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284 'g': 1,
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285 'b': 2,
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286 'a': 3,
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287 }.toTable
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288 var getterCode, setterCode: NimNode
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289 let accessorvalue = accessor
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290
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291 if accessorvalue.len == 0:
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292 raise newException(Exception, "empty attribute")
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293 elif accessorvalue.len == 1:
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294 getterCode = nnkBracketExpr.newTree(ident("vec"), newLit(ACCESSOR_INDICES[accessorvalue[0]]))
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295 setterCode = nnkStmtList.newTree(
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296 nnkAsgn.newTree(
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297 nnkBracketExpr.newTree(ident("vec"), newLit(ACCESSOR_INDICES[accessorvalue[0]])), ident("value"))
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298 )
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299 if accessorvalue.len > 1:
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300 var attrs = nnkBracket.newTree()
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301 for attrname in accessorvalue:
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302 attrs.add(nnkBracketExpr.newTree(ident("vec"), newLit(ACCESSOR_INDICES[attrname])))
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303 getterCode = nnkCall.newTree(ident("TVec" & $accessorvalue.len), attrs)
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304 setterCode = nnkStmtList.newTree()
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305 var i = 0
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306 for attrname in accessorvalue:
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307 setterCode.add nnkAsgn.newTree(
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308 nnkBracketExpr.newTree(ident("vec"), newLit(ACCESSOR_INDICES[attrname])),
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309 nnkBracketExpr.newTree(ident("value"), newLit(i)),
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310 )
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311 inc i
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312
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313 result.add newProc(
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314 name = nnkPostfix.newTree(ident("*"), ident(accessor)),
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315 params = [ident("auto"), nnkIdentDefs.newTree(ident("vec"), ident("TVec"), newEmptyNode())],
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316 body = newStmtList(getterCode),
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317 procType = nnkFuncDef,
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318 )
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319
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320 result.add nnkFuncDef.newTree(
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321 nnkPostfix.newTree(
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322 newIdentNode("*"),
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323 nnkAccQuoted.newTree(newIdentNode(accessor), newIdentNode("="))
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324 ),
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325 newEmptyNode(),
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326 nnkGenericParams.newTree(nnkIdentDefs.newTree(newIdentNode("T"), newEmptyNode(), newEmptyNode())),
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327 nnkFormalParams.newTree(
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328 newEmptyNode(),
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329 nnkIdentDefs.newTree(newIdentNode("vec"), nnkVarTy.newTree(newIdentNode("TVec")), newEmptyNode()),
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330 nnkIdentDefs.newTree(newIdentNode("value"), newIdentNode("T"), newEmptyNode())
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331 ),
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332 newEmptyNode(),
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333 newEmptyNode(),
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334 setterCode
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335 )
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336
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337 macro createVectorAttribAccessorFuncs() =
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338 const COORD_ATTRS = ["x", "y", "z", "w"]
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339 const COLOR_ATTRS = ["r", "g", "b", "a"]
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340 result = nnkStmtList.newTree()
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341 for attlist in [COORD_ATTRS, COLOR_ATTRS]:
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342 for i in attlist:
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343 result.add(vectorAttributeAccessor(i))
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344 for j in attlist:
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345 result.add(vectorAttributeAccessor(i & j))
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346 for k in attlist:
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347 result.add(vectorAttributeAccessor(i & j & k))
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348 for l in attlist:
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349 result.add(vectorAttributeAccessor(i & j & k & l))
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350
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351 createVectorAttribAccessorFuncs()
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352
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353 # call e.g. Vec2[int]().randomized() to get a random matrix
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354 template makeRandomVectorInit(mattype: typedesc) =
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355 proc Randomized*[T: SomeInteger](m: mattype[T]): mattype[T] =
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356 for i in 0 ..< result.len:
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357 result[i] = rand(low(typeof(m[0])) .. high(typeof(m[0])))
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358 proc Randomized*[T: SomeFloat](m: mattype[T]): mattype[T] =
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359 for i in 0 ..< result.len:
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360 result[i] = rand(1.0)
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361
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362 makeRandomVectorInit(TVec1)
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363 makeRandomVectorInit(TVec2)
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364 makeRandomVectorInit(TVec3)
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365 makeRandomVectorInit(TVec4)
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366
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367 converter Vec2VkExtent*(vec: TVec2[uint32]): VkExtent2D = VkExtent2D(width: vec[0], height: vec[1])
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368 converter Vec3VkExtent*(vec: TVec2[uint32]): VkExtent3D = VkExtent3D(width: vec[0], height: vec[1], depth: vec[2])
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369
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370 func AngleBetween*(a, b: Vec3f): float32 =
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371 arccos(a.Dot(b) / (a.Length * b.Length))