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annotate src/zamikongine/math/matrix.nim @ 37:6859bcfabc62

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did: update notes
author Sam <sam@basx.dev>
date Mon, 16 Jan 2023 00:51:03 +0700
parents 71bbe11d8de8
children c3c963e7c1a6
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1 import std/math
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2 import std/macros
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3 import std/random
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4 import std/strutils
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5 import std/typetraits
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6
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7 import ./vector
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8
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9 type
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10 # layout is row-first
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11 # having an object instead of directly aliasing the array seems a bit ugly at
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12 # first, but is necessary to be able to work correctly with distinguished
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13 # types (i.e. Mat23 and Mat32 would be an alias for the same type array[6, T]
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14 # which prevents the type system from identifying the correct type at times)
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15 #
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16 # Though, great news is that objects have zero overhead!
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17 Mat22*[T: SomeNumber] = object
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18 data: array[4, T]
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19 Mat23*[T: SomeNumber] = object
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20 data: array[6, T]
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21 Mat32*[T: SomeNumber] = object
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22 data: array[6, T]
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23 Mat33*[T: SomeNumber] = object
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24 data: array[9, T]
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25 Mat34*[T: SomeNumber] = object
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26 data: array[12, T]
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27 Mat43*[T: SomeNumber] = object
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28 data: array[12, T]
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29 Mat44*[T: SomeNumber] = object
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30 data: array[16, T]
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31 MatMM* = Mat22|Mat33|Mat44
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32 MatMN* = Mat23|Mat32|Mat34|Mat43
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33 Mat* = MatMM|MatMN
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34
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35 func unit22[T: SomeNumber](): auto {.compiletime.} = Mat22[T](data:[
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36 T(1), T(0),
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37 T(0), T(1),
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38 ])
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39 func unit33[T: SomeNumber](): auto {.compiletime.} = Mat33[T](data:[
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40 T(1), T(0), T(0),
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41 T(0), T(1), T(0),
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42 T(0), T(0), T(1),
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43 ])
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44 func unit44[T: SomeNumber](): auto {.compiletime.} = Mat44[T](data: [
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45 T(1), T(0), T(0), T(0),
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46 T(0), T(1), T(0), T(0),
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47 T(0), T(0), T(1), T(0),
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48 T(0), T(0), T(0), T(1),
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49 ])
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50
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51 # generates constants: Unit
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52 # Also for Y, Z, R, G, B
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53 # not sure if this is necessary or even a good idea...
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54 macro generateAllConsts() =
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55 result = newStmtList()
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56 for theType in ["int", "int8", "int16", "int32", "int64", "float", "float32", "float64"]:
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57 var typename = theType[0 .. 0]
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58 if theType[^2].isDigit:
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59 typename = typename & theType[^2]
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60 if theType[^1].isDigit:
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61 typename = typename & theType[^1]
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62 result.add(newConstStmt(
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63 postfix(ident("Unit22" & typename), "*"),
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64 newCall(nnkBracketExpr.newTree(ident("unit22"), ident(theType)))
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65 ))
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66 result.add(newConstStmt(
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67 postfix(ident("Unit33" & typename), "*"),
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68 newCall(nnkBracketExpr.newTree(ident("unit33"), ident(theType)))
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69 ))
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70 result.add(newConstStmt(
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71 postfix(ident("Unit44" & typename), "*"),
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72 newCall(nnkBracketExpr.newTree(ident("unit44"), ident(theType)))
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73 ))
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74
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75 generateAllConsts()
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76
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77 const Unit22* = unit22[float]()
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78 const Unit33* = unit33[float]()
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79 const Unit44* = unit44[float]()
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80
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81 template rowCount*(m: typedesc): int =
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82 when m is Mat22: 2
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83 elif m is Mat23: 2
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84 elif m is Mat32: 3
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85 elif m is Mat33: 3
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86 elif m is Mat34: 3
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87 elif m is Mat43: 4
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88 elif m is Mat44: 4
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89 template columnCount*(m: typedesc): int =
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90 when m is Mat22: 2
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91 elif m is Mat23: 3
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92 elif m is Mat32: 2
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93 elif m is Mat33: 3
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94 elif m is Mat34: 4
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95 elif m is Mat43: 3
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96 elif m is Mat44: 4
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97
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98
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99 func toString[T](value: T): string =
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100 var
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101 strvalues: seq[string]
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102 maxwidth = 0
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103
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104 for n in value.data:
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105 let strval = $n
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106 strvalues.add(strval)
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107 if strval.len > maxwidth:
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108 maxwidth = strval.len
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109
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110 for i in 0 ..< strvalues.len:
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111 let filler = " ".repeat(maxwidth - strvalues[i].len)
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112 if i mod T.columnCount == T.columnCount - 1:
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113 result &= filler & strvalues[i] & "\n"
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114 else:
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115 if i mod T.columnCount == 0:
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116 result &= " "
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117 result &= filler & strvalues[i] & " "
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118 result = $T & "\n" & result
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119
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120 func `$`*(v: Mat22[SomeNumber]): string = toString[Mat22[SomeNumber]](v)
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121 func `$`*(v: Mat23[SomeNumber]): string = toString[Mat23[SomeNumber]](v)
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122 func `$`*(v: Mat32[SomeNumber]): string = toString[Mat32[SomeNumber]](v)
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123 func `$`*(v: Mat33[SomeNumber]): string = toString[Mat33[SomeNumber]](v)
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124 func `$`*(v: Mat34[SomeNumber]): string = toString[Mat34[SomeNumber]](v)
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125 func `$`*(v: Mat43[SomeNumber]): string = toString[Mat43[SomeNumber]](v)
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126 func `$`*(v: Mat44[SomeNumber]): string = toString[Mat44[SomeNumber]](v)
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127
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128 func `[]`*[T: Mat](m: T, row, col: int): auto = m.data[col + row * T.columnCount]
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129 proc `[]=`*[T: Mat, U](m: var T, row, col: int, value: U) = m.data[col + row * T.columnCount] = value
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130
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131 func row*[T: Mat22](m: T, i: 0..1): auto = Vec2([m[i, 0], m[i, 1]])
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132 func row*[T: Mat32](m: T, i: 0..2): auto = Vec2([m[i, 0], m[i, 1]])
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133 func row*[T: Mat23](m: T, i: 0..1): auto = Vec3([m[i, 0], m[i, 1], m[i, 2]])
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134 func row*[T: Mat33](m: T, i: 0..2): auto = Vec3([m[i, 0], m[i, 1], m[i, 2]])
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135 func row*[T: Mat43](m: T, i: 0..3): auto = Vec3([m[i, 0], m[i, 1], m[i, 2]])
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136 func row*[T: Mat34](m: T, i: 0..2): auto = Vec4([m[i, 0], m[i, 1], m[i, 2], m[i, 3]])
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137 func row*[T: Mat44](m: T, i: 0..3): auto = Vec4([m[i, 0], m[i, 1], m[i, 2], m[i, 3]])
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138
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139 func col*[T: Mat22](m: T, i: 0..1): auto = Vec2([m[0, i], m[1, i]])
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140 func col*[T: Mat23](m: T, i: 0..2): auto = Vec2([m[0, i], m[1, i]])
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141 func col*[T: Mat32](m: T, i: 0..1): auto = Vec3([m[0, i], m[1, i], m[2, i]])
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142 func col*[T: Mat33](m: T, i: 0..2): auto = Vec3([m[0, i], m[1, i], m[2, i]])
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143 func col*[T: Mat34](m: T, i: 0..3): auto = Vec3([m[0, i], m[1, i], m[2, i]])
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144 func col*[T: Mat43](m: T, i: 0..2): auto = Vec4([m[0, i], m[1, i], m[2, i], m[3, i]])
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145 func col*[T: Mat44](m: T, i: 0..3): auto = Vec4([m[0, i], m[1, i], m[2, i], m[3, i]])
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146
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147 proc createMatMatMultiplicationOperator(leftType: typedesc, rightType: typedesc, outType: typedesc): NimNode =
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148 var data = nnkBracket.newTree()
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149 for i in 0 ..< rowCount(leftType):
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150 for j in 0 ..< rightType.columnCount:
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151 data.add(newCall(
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152 ident("sum"),
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153 infix(
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154 newCall(newDotExpr(ident("a"), ident("row")), newLit(i)),
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155 "*",
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156 newCall(newDotExpr(ident("b"), ident("col")), newLit(j))
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157 )
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Sam <sam@basx.dev>
parents: 13
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158 ))
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parents: 13
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159
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160 return newProc(
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161 postfix(nnkAccQuoted.newTree(ident("*")), "*"),
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162 params=[
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163 ident("auto"),
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164 newIdentDefs(ident("a"), ident(leftType.name)),
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165 newIdentDefs(ident("b"), ident(rightType.name))
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166 ],
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167 body=nnkObjConstr.newTree(ident(outType.name), nnkExprColonExpr.newTree(ident("data"), data)),
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168 procType=nnkFuncDef,
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parents: 13
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169 )
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170
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171 proc createVecMatMultiplicationOperator(matType: typedesc, vecType: typedesc): NimNode =
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172 var data = nnkBracket.newTree()
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173 for i in 0 ..< matType.rowCount:
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174 data.add(newCall(
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175 ident("sum"),
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176 infix(
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177 ident("v"),
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178 "*",
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179 newCall(newDotExpr(ident("m"), ident("row")), newLit(i))
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Sam <sam@basx.dev>
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180 )
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Sam <sam@basx.dev>
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181 ))
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182
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183 let resultVec = newCall(
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184 nnkBracketExpr.newTree(ident(vecType.name), ident("T")),
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185 data,
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186 )
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187 let name = postfix(nnkAccQuoted.newTree(ident("*")), "*")
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188 let genericParams = nnkGenericParams.newTree(nnkIdentDefs.newTree(ident("T"), ident("SomeNumber"), newEmptyNode()))
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189 let formalParams = nnkFormalParams.newTree(
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190 ident("auto"),
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191 newIdentDefs(ident("m"), nnkBracketExpr.newTree(ident(matType.name), ident("T"))),
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192 newIdentDefs(ident("v"), nnkBracketExpr.newTree(ident(vecType.name), ident("T"))),
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193 )
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194
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195 return nnkFuncDef.newTree(
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196 name,
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197 newEmptyNode(),
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198 genericParams,
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199 formalParams,
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200 newEmptyNode(),
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201 newEmptyNode(),
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Sam <sam@basx.dev>
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202 resultVec
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203 )
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Sam <sam@basx.dev>
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204
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Sam <sam@basx.dev>
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205
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206 proc createMatScalarOperator(matType: typedesc, op: string): NimNode =
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207 result = newStmtList()
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208
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209 var data = nnkBracket.newTree()
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210 for i in 0 ..< matType.rowCount * matType.columnCount:
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211 data.add(infix(nnkBracketExpr.newTree(newDotExpr(ident("a"), ident("data")), newLit(i)), op, ident("b")))
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212 result.add(newProc(
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213 postfix(nnkAccQuoted.newTree(ident(op)), "*"),
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214 params=[
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215 ident("auto"),
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216 newIdentDefs(ident("a"), ident(matType.name)),
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217 newIdentDefs(ident("b"), ident("SomeNumber")),
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218 ],
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219 body=nnkObjConstr.newTree(ident(matType.name), nnkExprColonExpr.newTree(ident("data"), data)),
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220 procType=nnkFuncDef,
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221 ))
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222 result.add(newProc(
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223 postfix(nnkAccQuoted.newTree(ident(op)), "*"),
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224 params=[
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225 ident("auto"),
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226 newIdentDefs(ident("b"), ident("SomeNumber")),
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227 newIdentDefs(ident("a"), ident(matType.name)),
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228 ],
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229 body=nnkObjConstr.newTree(ident(matType.name), nnkExprColonExpr.newTree(ident("data"), data)),
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230 procType=nnkFuncDef,
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231 ))
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232 if op == "-":
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233 var data2 = nnkBracket.newTree()
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234 for i in 0 ..< matType.rowCount * matType.columnCount:
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235 data2.add(prefix(nnkBracketExpr.newTree(newDotExpr(ident("a"), ident("data")), newLit(i)), op))
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236 result.add(newProc(
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237 postfix(nnkAccQuoted.newTree(ident(op)), "*"),
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238 params=[
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239 ident("auto"),
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240 newIdentDefs(ident("a"), ident(matType.name)),
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241 ],
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242 body=nnkObjConstr.newTree(ident(matType.name), nnkExprColonExpr.newTree(ident("data"), data2)),
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parents: 13
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243 procType=nnkFuncDef,
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parents: 13
diff changeset
244 ))
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245
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246 macro createAllMultiplicationOperators() =
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247 result = newStmtList()
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248
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249 for op in ["+", "-", "*", "/"]:
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250 result.add(createMatScalarOperator(Mat22, op))
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251 result.add(createMatScalarOperator(Mat23, op))
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252 result.add(createMatScalarOperator(Mat32, op))
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253 result.add(createMatScalarOperator(Mat33, op))
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254 result.add(createMatScalarOperator(Mat34, op))
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255 result.add(createMatScalarOperator(Mat43, op))
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parents: 13
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256 result.add(createMatScalarOperator(Mat44, op))
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parents: 13
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257
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258 result.add(createMatMatMultiplicationOperator(Mat22, Mat22, Mat22))
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diff changeset
259 result.add(createMatMatMultiplicationOperator(Mat22, Mat23, Mat23))
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260 result.add(createMatMatMultiplicationOperator(Mat23, Mat32, Mat22))
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parents: 13
diff changeset
261 result.add(createMatMatMultiplicationOperator(Mat23, Mat33, Mat23))
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parents: 13
diff changeset
262 result.add(createMatMatMultiplicationOperator(Mat32, Mat22, Mat32))
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parents: 13
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263 result.add(createMatMatMultiplicationOperator(Mat32, Mat23, Mat33))
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parents: 13
diff changeset
264 result.add(createMatMatMultiplicationOperator(Mat33, Mat32, Mat32))
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parents: 13
diff changeset
265 result.add(createMatMatMultiplicationOperator(Mat33, Mat33, Mat33))
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266 result.add(createMatMatMultiplicationOperator(Mat33, Mat34, Mat34))
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parents: 13
diff changeset
267 result.add(createMatMatMultiplicationOperator(Mat43, Mat33, Mat43))
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parents: 13
diff changeset
268 result.add(createMatMatMultiplicationOperator(Mat43, Mat34, Mat44))
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parents: 13
diff changeset
269 result.add(createMatMatMultiplicationOperator(Mat44, Mat43, Mat43))
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parents: 13
diff changeset
270 result.add(createMatMatMultiplicationOperator(Mat44, Mat44, Mat44))
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parents: 13
diff changeset
271
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parents: 13
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272 result.add(createVecMatMultiplicationOperator(Mat22, Vec2))
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parents: 13
diff changeset
273 result.add(createVecMatMultiplicationOperator(Mat33, Vec3))
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parents: 13
diff changeset
274 result.add(createVecMatMultiplicationOperator(Mat44, Vec4))
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parents: 13
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275
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parents: 13
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276 createAllMultiplicationOperators()
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277
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278
13
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parents:
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279 func transposed*[T](m: Mat22[T]): Mat22[T] = Mat22[T](data: [
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parents:
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280 m[0, 0], m[1, 0],
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parents:
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281 m[0, 1], m[1, 1],
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parents:
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282 ])
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parents:
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283 func transposed*[T](m: Mat23[T]): Mat32[T] = Mat32[T](data: [
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parents:
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284 m[0, 0], m[1, 0],
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parents:
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285 m[0, 1], m[1, 1],
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parents:
diff changeset
286 m[0, 2], m[1, 2],
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parents:
diff changeset
287 ])
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parents:
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288 func transposed*[T](m: Mat32[T]): Mat23[T] = Mat23[T](data: [
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parents:
diff changeset
289 m[0, 0], m[1, 0], m[2, 0],
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Sam <sam@basx.dev>
parents:
diff changeset
290 m[0, 1], m[1, 1], m[2, 1],
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Sam <sam@basx.dev>
parents:
diff changeset
291 ])
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parents:
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292 func transposed*[T](m: Mat33[T]): Mat33[T] = Mat33[T](data: [
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parents:
diff changeset
293 m[0, 0], m[1, 0], m[2, 0],
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Sam <sam@basx.dev>
parents:
diff changeset
294 m[0, 1], m[1, 1], m[2, 1],
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Sam <sam@basx.dev>
parents:
diff changeset
295 m[0, 2], m[1, 2], m[2, 2],
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Sam <sam@basx.dev>
parents:
diff changeset
296 ])
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parents:
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297 func transposed*[T](m: Mat43[T]): Mat34[T] = Mat34[T](data: [
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parents:
diff changeset
298 m[0, 0], m[1, 0], m[2, 0], m[3, 0],
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parents:
diff changeset
299 m[0, 1], m[1, 1], m[2, 1], m[3, 1],
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parents:
diff changeset
300 m[0, 2], m[1, 2], m[2, 2], m[3, 2],
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parents:
diff changeset
301 ])
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parents:
diff changeset
302 func transposed*[T](m: Mat34[T]): Mat43[T] = Mat43[T](data: [
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parents:
diff changeset
303 m[0, 0], m[1, 0], m[2, 0],
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Sam <sam@basx.dev>
parents:
diff changeset
304 m[0, 1], m[1, 1], m[2, 1],
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Sam <sam@basx.dev>
parents:
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305 m[0, 2], m[1, 2], m[2, 2],
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Sam <sam@basx.dev>
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306 m[0, 3], m[1, 3], m[2, 3],
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Sam <sam@basx.dev>
parents:
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307 ])
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Sam <sam@basx.dev>
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308 func transposed*[T](m: Mat44[T]): Mat44[T] = Mat44[T](data: [
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309 m[0, 0], m[1, 0], m[2, 0], m[3, 0],
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Sam <sam@basx.dev>
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310 m[0, 1], m[1, 1], m[2, 1], m[3, 1],
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Sam <sam@basx.dev>
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311 m[0, 2], m[1, 2], m[2, 2], m[3, 2],
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312 m[0, 3], m[1, 3], m[2, 3], m[3, 3],
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Sam <sam@basx.dev>
parents:
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313 ])
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Sam <sam@basx.dev>
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314
22
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Sam <sam@basx.dev>
parents: 19
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315 func translate2d*[T](x, y: T): Mat33[T] = Mat33[T](data: [
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Sam <sam@basx.dev>
parents: 19
diff changeset
316 T(1), T(0), x,
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Sam <sam@basx.dev>
parents: 19
diff changeset
317 T(0), T(1), y,
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Sam <sam@basx.dev>
parents: 19
diff changeset
318 T(0), T(0), T(1),
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Sam <sam@basx.dev>
parents: 19
diff changeset
319 ])
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Sam <sam@basx.dev>
parents: 19
diff changeset
320 func scale2d*[T](sx, sy: T): Mat33[T] = Mat33[T](data: [
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Sam <sam@basx.dev>
parents: 19
diff changeset
321 sx, T(0), T(0),
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Sam <sam@basx.dev>
parents: 19
diff changeset
322 T(0), sy, T(0),
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Sam <sam@basx.dev>
parents: 19
diff changeset
323 T(0), T(0), T(1),
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Sam <sam@basx.dev>
parents: 19
diff changeset
324 ])
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Sam <sam@basx.dev>
parents: 19
diff changeset
325 func rotate2d*[T](angle: T): Mat33[T] = Mat33[T](data: [
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Sam <sam@basx.dev>
parents: 19
diff changeset
326 cos(angle), -sin(angle), T(0),
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Sam <sam@basx.dev>
parents: 19
diff changeset
327 sin(angle), cos(angle), T(0),
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Sam <sam@basx.dev>
parents: 19
diff changeset
328 T(0), T(0), T(1),
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Sam <sam@basx.dev>
parents: 19
diff changeset
329 ])
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Sam <sam@basx.dev>
parents: 19
diff changeset
330 func translate3d*[T](x, y, z: T): Mat44[T] = Mat44[T](data: [
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
331 T(1), T(0), T(0), x,
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
332 T(0), T(1), T(0), y,
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Sam <sam@basx.dev>
parents: 19
diff changeset
333 T(0), T(0), T(1), z,
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
334 T(0), T(0), T(0), T(1),
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
335 ])
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
336 func scale3d*[T](sx, sy, sz: T): Mat44[T] = Mat44[T](data: [
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
337 sx, T(0), T(0), T(0),
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
338 T(0), sy, T(0), T(0),
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
339 T(0), T(0), sz, T(0),
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Sam <sam@basx.dev>
parents: 19
diff changeset
340 T(0), T(0), T(0), T(1),
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Sam <sam@basx.dev>
parents: 19
diff changeset
341 ])
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Sam <sam@basx.dev>
parents: 19
diff changeset
342 func rotate3d*[T](angle: T, a: Vec3[T]): Mat44[T] =
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Sam <sam@basx.dev>
parents: 19
diff changeset
343 let
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Sam <sam@basx.dev>
parents: 19
diff changeset
344 cosa = cos(angle)
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Sam <sam@basx.dev>
parents: 19
diff changeset
345 sina = sin(angle)
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Sam <sam@basx.dev>
parents: 19
diff changeset
346 x = a.x
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Sam <sam@basx.dev>
parents: 19
diff changeset
347 y = a.y
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Sam <sam@basx.dev>
parents: 19
diff changeset
348 z = a.z
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Sam <sam@basx.dev>
parents: 19
diff changeset
349 Mat44[T](data: [
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
350 x * x * (1 - cosa) + cosa, y * x * (1 - cosa) - z * sina, z * x * (1 - cosa) + y * sina, T(0),
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
351 x * y * (1 - cosa) + z * sina, y * y * (1 - cosa) + cosa, z * y * (1 - cosa) - x * sina, T(0),
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
352 x * z * (1 - cosa) - y * sina, y * z * (1 - cosa) + x * sina, z * z * (1 - cosa) + cosa, T(0),
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
353 T(0), T(0), T(0), 1,
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Sam <sam@basx.dev>
parents: 19
diff changeset
354 ])
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
355
b45a5d338cd0 did: improve alotof_triangles example, remove glslang lib, use only binary, easier cross-compilation
Sam <sam@basx.dev>
parents: 19
diff changeset
356
16
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
357 # call e.g. Mat32[int]().randomized() to get a random matrix
13
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Sam <sam@basx.dev>
parents:
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358 template makeRandomInit(mattype: typedesc) =
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Sam <sam@basx.dev>
parents:
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359 proc randomized*[T: SomeInteger](m: mattype[T]): mattype[T] =
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Sam <sam@basx.dev>
parents:
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360 for i in 0 ..< result.data.len:
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Sam <sam@basx.dev>
parents:
diff changeset
361 result.data[i] = rand(low(typeof(m.data[0])) .. high(typeof(m.data[0])))
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Sam <sam@basx.dev>
parents:
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362 proc randomized*[T: SomeFloat](m: mattype[T]): mattype[T] =
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Sam <sam@basx.dev>
parents:
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363 for i in 0 ..< result.data.len:
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Sam <sam@basx.dev>
parents:
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364 result.data[i] = rand(1.0)
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Sam <sam@basx.dev>
parents:
diff changeset
365
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
366 makeRandomInit(Mat22)
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Sam <sam@basx.dev>
parents:
diff changeset
367 makeRandomInit(Mat23)
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Sam <sam@basx.dev>
parents:
diff changeset
368 makeRandomInit(Mat32)
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Sam <sam@basx.dev>
parents:
diff changeset
369 makeRandomInit(Mat33)
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Sam <sam@basx.dev>
parents:
diff changeset
370 makeRandomInit(Mat34)
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Sam <sam@basx.dev>
parents:
diff changeset
371 makeRandomInit(Mat43)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
372 makeRandomInit(Mat44)