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annotate src/matrix.nim @ 13:a571db114152

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add: vector/matrix modules, tests, nim config script
author Sam <sam@basx.dev>
date Wed, 28 Dec 2022 11:42:21 +0700
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children 617c6dcddbe2
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13
a571db114152 add: vector/matrix modules, tests, nim config script
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1 import random
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2 import std/strutils
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3 import std/typetraits
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4
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5 import ./vector
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6
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7 type
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8 # layout is row-first
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9 # having an object instead of directly aliasing the array seems a bit ugly at
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10 # first, but is necessary to be able to work correctly with distinguished
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11 # types (i.e. Mat23 and Mat32 would be an alias for the same type array[6, T]
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12 # which prevents the type system from identifying the correct type at times)
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13 #
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14 # Though, great news is that objects have zero overhead!
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15 Mat22*[T: SomeNumber] = object
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16 data: array[4, T]
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17 Mat23*[T: SomeNumber] = object
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18 data: array[6, T]
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19 Mat32*[T: SomeNumber] = object
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20 data: array[6, T]
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21 Mat33*[T: SomeNumber] = object
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22 data: array[9, T]
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23 Mat34*[T: SomeNumber] = object
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24 data: array[12, T]
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25 Mat43*[T: SomeNumber] = object
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26 data: array[12, T]
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27 Mat44*[T: SomeNumber] = object
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28 data: array[16, T]
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29 MatMM* = Mat22|Mat33|Mat44
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30 MatMN* = Mat23|Mat32|Mat34|Mat43
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31 Mat* = MatMM|MatMN
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32 IntegerMat = Mat22[SomeInteger]|Mat33[SomeInteger]|Mat44[SomeInteger]|Mat23[SomeInteger]|Mat32[SomeInteger]|Mat34[SomeInteger]|Mat43[SomeInteger]
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33 FloatMat = Mat22[SomeFloat]|Mat33[SomeFloat]|Mat44[SomeFloat]|Mat23[SomeFloat]|Mat32[SomeFloat]|Mat34[SomeFloat]|Mat43[SomeFloat]
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34
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35
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36 func rowCount*(m: Mat22): int = 2
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37 func columnCount*(m: Mat22): int = 2
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38 func rowCount*(m: Mat23): int = 2
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39 func columnCount*(m: Mat23): int = 3
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40 func rowCount*(m: Mat32): int = 3
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41 func columnCount*(m: Mat32): int = 2
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42 func rowCount*(m: Mat33): int = 3
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43 func columnCount*(m: Mat33): int = 3
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44 func rowCount*(m: Mat34): int = 3
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45 func columnCount*(m: Mat34): int = 4
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46 func rowCount*(m: Mat43): int = 4
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47 func columnCount*(m: Mat43): int = 3
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48 func rowCount*(m: Mat44): int = 4
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49 func columnCount*(m: Mat44): int = 4
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50
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51
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52 func toString[T](value: T): string =
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53 var
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54 strvalues: seq[string]
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55 maxwidth = 0
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56
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57 for n in value.data:
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58 let strval = $n
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59 strvalues.add(strval)
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60 if strval.len > maxwidth:
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61 maxwidth = strval.len
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62
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63 for i in 0 ..< strvalues.len:
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64 let filler = " ".repeat(maxwidth - strvalues[i].len)
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65 if i mod value.columnCount == value.columnCount - 1:
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66 result &= filler & strvalues[i] & "\n"
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67 else:
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68 if i mod value.columnCount == 0:
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69 result &= " "
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70 result &= filler & strvalues[i] & " "
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71 result = $T & "\n" & result
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72
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73 func `$`*(v: Mat22[SomeNumber]): string = toString[Mat22[SomeNumber]](v)
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74 func `$`*(v: Mat23[SomeNumber]): string = toString[Mat23[SomeNumber]](v)
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75 func `$`*(v: Mat32[SomeNumber]): string = toString[Mat32[SomeNumber]](v)
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76 func `$`*(v: Mat33[SomeNumber]): string = toString[Mat33[SomeNumber]](v)
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77 func `$`*(v: Mat34[SomeNumber]): string = toString[Mat34[SomeNumber]](v)
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78 func `$`*(v: Mat43[SomeNumber]): string = toString[Mat43[SomeNumber]](v)
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79 func `$`*(v: Mat44[SomeNumber]): string = toString[Mat44[SomeNumber]](v)
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80
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81 func `[]`*[T: Mat](m: T, row, col: int): auto = m.data[col + row * m.columnCount]
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82 proc `[]=`*[T: Mat, U](m: var T, row, col: int, value: U) = m.data[col + row * m.columnCount] = value
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83
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84 func row*[T: Mat22](m: T, i: 0..1): auto = Vec2([m[i, 0], m[i, 1]])
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85 func row*[T: Mat32](m: T, i: 0..2): auto = Vec2([m[i, 0], m[i, 1]])
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86 func row*[T: Mat23](m: T, i: 0..1): auto = Vec3([m[i, 0], m[i, 1], m[i, 2]])
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87 func row*[T: Mat33](m: T, i: 0..2): auto = Vec3([m[i, 0], m[i, 1], m[i, 2]])
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88 func row*[T: Mat43](m: T, i: 0..3): auto = Vec3([m[i, 0], m[i, 1], m[i, 2]])
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89 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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90 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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91
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92 func col*[T: Mat22](m: T, i: 0..1): auto = Vec2([m[0, i], m[1, i]])
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93 func col*[T: Mat23](m: T, i: 0..2): auto = Vec2([m[0, i], m[1, i]])
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94 func col*[T: Mat32](m: T, i: 0..1): auto = Vec3([m[0, i], m[1, i], m[2, i]])
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95 func col*[T: Mat33](m: T, i: 0..2): auto = Vec3([m[0, i], m[1, i], m[2, i]])
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96 func col*[T: Mat34](m: T, i: 0..3): auto = Vec3([m[0, i], m[1, i], m[2, i]])
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97 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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98 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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99
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100 func transposed*[T](m: Mat22[T]): Mat22[T] = Mat22[T](data: [
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101 m[0, 0], m[1, 0],
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102 m[0, 1], m[1, 1],
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103 ])
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104 func transposed*[T](m: Mat23[T]): Mat32[T] = Mat32[T](data: [
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105 m[0, 0], m[1, 0],
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106 m[0, 1], m[1, 1],
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107 m[0, 2], m[1, 2],
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108 ])
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109 func transposed*[T](m: Mat32[T]): Mat23[T] = Mat23[T](data: [
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110 m[0, 0], m[1, 0], m[2, 0],
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111 m[0, 1], m[1, 1], m[2, 1],
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112 ])
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113 func transposed*[T](m: Mat33[T]): Mat33[T] = Mat33[T](data: [
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114 m[0, 0], m[1, 0], m[2, 0],
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115 m[0, 1], m[1, 1], m[2, 1],
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116 m[0, 2], m[1, 2], m[2, 2],
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117 ])
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118 func transposed*[T](m: Mat43[T]): Mat34[T] = Mat34[T](data: [
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119 m[0, 0], m[1, 0], m[2, 0], m[3, 0],
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120 m[0, 1], m[1, 1], m[2, 1], m[3, 1],
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121 m[0, 2], m[1, 2], m[2, 2], m[3, 2],
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122 ])
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123 func transposed*[T](m: Mat34[T]): Mat43[T] = Mat43[T](data: [
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124 m[0, 0], m[1, 0], m[2, 0],
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125 m[0, 1], m[1, 1], m[2, 1],
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126 m[0, 2], m[1, 2], m[2, 2],
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127 m[0, 3], m[1, 3], m[2, 3],
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128 ])
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129 func transposed*[T](m: Mat44[T]): Mat44[T] = Mat44[T](data: [
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130 m[0, 0], m[1, 0], m[2, 0], m[3, 0],
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131 m[0, 1], m[1, 1], m[2, 1], m[3, 1],
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132 m[0, 2], m[1, 2], m[2, 2], m[3, 2],
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133 m[0, 3], m[1, 3], m[2, 3], m[3, 3],
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134 ])
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135
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136 # call e.g. Mat32[int]().initRandom() to get a random matrix
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137 template makeRandomInit(mattype: typedesc) =
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138 proc randomized*[T: SomeInteger](m: mattype[T]): mattype[T] =
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139 for i in 0 ..< result.data.len:
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140 result.data[i] = rand(low(typeof(m.data[0])) .. high(typeof(m.data[0])))
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141 proc randomized*[T: SomeFloat](m: mattype[T]): mattype[T] =
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142 for i in 0 ..< result.data.len:
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143 result.data[i] = rand(1.0)
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144
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145 makeRandomInit(Mat22)
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146 makeRandomInit(Mat23)
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147 makeRandomInit(Mat32)
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148 makeRandomInit(Mat33)
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149 makeRandomInit(Mat34)
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150 makeRandomInit(Mat43)
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151 makeRandomInit(Mat44)