Mercurial > games > semicongine

annotate semiconginev2/old/core/matrix.nim @ 1231:70f6c1cfe005

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add: incomplete cube demo
author sam <sam@basx.dev>
date Thu, 18 Jul 2024 23:48:57 +0700
parents 56781cc0fc7c
children
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rev   line source
1190
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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/strformat
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6 import std/typetraits
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7
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8 import ./vector
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9
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10 export math
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11
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12 type
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13 # layout is row-first
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14 # having an object instead of directly aliasing the array seems a bit ugly at
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15 # first, but is necessary to be able to work correctly with distinguished
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16 # types (i.e. TMat23 and TMat32 would be an alias for the same type array[6, T]
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17 # which prevents the type system from identifying the correct type at times)
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18 #
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19 # Though, great news is that objects have zero overhead!
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20 TMat2*[T: SomeNumber] = object
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21 data*: array[4, T]
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22 TMat23*[T: SomeNumber] = object
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23 data*: array[6, T]
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24 TMat32*[T: SomeNumber] = object
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25 data*: array[6, T]
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26 TMat3*[T: SomeNumber] = object
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27 data*: array[9, T]
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28 TMat34*[T: SomeNumber] = object
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29 data*: array[12, T]
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30 TMat43*[T: SomeNumber] = object
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31 data*: array[12, T]
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32 TMat4*[T: SomeNumber] = object
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33 data*: array[16, T]
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34 TMat* = TMat2|TMat3|TMat4|TMat23|TMat32|TMat34|TMat43
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35 Mat2* = TMat2[float32]
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36 Mat23* = TMat23[float32]
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37 Mat32* = TMat32[float32]
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38 Mat3* = TMat3[float32]
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39 Mat34* = TMat34[float32]
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40 Mat43* = TMat43[float32]
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41 Mat4* = TMat4[float32]
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42
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43 func MakeUnit2*[T: SomeNumber](): auto {.compiletime.} = TMat2[T](data: [
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44 T(1), T(0),
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45 T(0), T(1),
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46 ])
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47 func MakeUnit3*[T: SomeNumber](): auto {.compiletime.} = TMat3[T](data: [
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48 T(1), T(0), T(0),
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49 T(0), T(1), T(0),
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50 T(0), T(0), T(1),
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51 ])
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52 func MakeUnit4*[T: SomeNumber](): auto {.compiletime.} = TMat4[T](data: [
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53 T(1), T(0), T(0), T(0),
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54 T(0), T(1), T(0), T(0),
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55 T(0), T(0), T(1), T(0),
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56 T(0), T(0), T(0), T(1),
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57 ])
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58
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59 # generates constants: Unit
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60 # Also for Y, Z, R, G, B
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61 # not sure if this is necessary or even a good idea...
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62 macro generateAllConsts() =
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63 result = newStmtList()
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64 for theType in ["int", "int8", "int16", "int32", "int64", "float", "float32", "float64"]:
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65 var typename = theType[0 .. 0]
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66 if theType[^2].isDigit:
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67 typename = typename & theType[^2]
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68 if theType[^1].isDigit:
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69 typename = typename & theType[^1]
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70 result.add(newConstStmt(
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71 postfix(ident("Unit2" & typename), "*"),
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72 newCall(nnkBracketExpr.newTree(ident("MakeUnit2"), ident(theType)))
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73 ))
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74 result.add(newConstStmt(
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75 postfix(ident("Unit3" & typename), "*"),
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76 newCall(nnkBracketExpr.newTree(ident("MakeUnit3"), ident(theType)))
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77 ))
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78 result.add(newConstStmt(
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79 postfix(ident("Unit4" & typename), "*"),
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80 newCall(nnkBracketExpr.newTree(ident("MakeUnit4"), ident(theType)))
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81 ))
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82
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83 generateAllConsts()
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84
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85 const Unit2* = MakeUnit2[float32]()
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86 const Unit3* = MakeUnit3[float32]()
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87 const Unit4* = MakeUnit4[float32]()
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88
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89 template RowCount*(m: typedesc): int =
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90 when m is TMat2: 2
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91 elif m is TMat23: 2
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92 elif m is TMat32: 3
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93 elif m is TMat3: 3
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94 elif m is TMat34: 3
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95 elif m is TMat43: 4
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96 elif m is TMat4: 4
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97 template ColumnCount*(m: typedesc): int =
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98 when m is TMat2: 2
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99 elif m is TMat23: 3
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100 elif m is TMat32: 2
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101 elif m is TMat3: 3
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102 elif m is TMat34: 4
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103 elif m is TMat43: 3
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104 elif m is TMat4: 4
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105 template matlen(m: typedesc): int =
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106 when m is TMat2: 4
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107 elif m is TMat23: 6
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108 elif m is TMat32: 6
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109 elif m is TMat3: 9
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110 elif m is TMat34: 12
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111 elif m is TMat43: 12
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112 elif m is TMat4: 16
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113
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114
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115 func toString[T](value: T): string =
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116 var
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117 strvalues: seq[string]
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118 maxwidth = 0
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119
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120 for n in value.data:
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121 let strval = &"{float(n):.4f}"
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122 strvalues.add(strval)
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123 if strval.len > maxwidth:
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124 maxwidth = strval.len
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125
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126 for i in 0 ..< strvalues.len:
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127 let filler = " ".repeat(maxwidth - strvalues[i].len)
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128 if i mod T.ColumnCount == T.ColumnCount - 1:
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129 result &= filler & strvalues[i] & "\n"
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130 else:
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131 if i mod T.ColumnCount == 0:
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132 result &= " "
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133 result &= filler & strvalues[i] & " "
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134
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135 func `$`*(v: TMat2[SomeNumber]): string = toString[TMat2[SomeNumber]](v)
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136 func `$`*(v: TMat23[SomeNumber]): string = toString[TMat23[SomeNumber]](v)
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137 func `$`*(v: TMat32[SomeNumber]): string = toString[TMat32[SomeNumber]](v)
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138 func `$`*(v: TMat3[SomeNumber]): string = toString[TMat3[SomeNumber]](v)
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139 func `$`*(v: TMat34[SomeNumber]): string = toString[TMat34[SomeNumber]](v)
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140 func `$`*(v: TMat43[SomeNumber]): string = toString[TMat43[SomeNumber]](v)
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141 func `$`*(v: TMat4[SomeNumber]): string = toString[TMat4[SomeNumber]](v)
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142
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143 func `[]`*[T: TMat](m: T, row, col: int): auto = m.data[col + row * T.ColumnCount]
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sam <sam@basx.dev>
parents:
diff changeset
144 func `[]=`*[T: TMat, U](m: var T, row, col: int, value: U) = m.data[col + row * T.ColumnCount] = value
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
145 func `[]`*[T: TMat](m: T, i: int): auto = m.data[i]
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
146 func `[]=`*[T: TMat, U](m: var T, i: int, value: U) = m.data[i] = value
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
147
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
148 func Row*[T: TMat2](m: T, i: 0..1): auto = TVec2([m[i, 0], m[i, 1]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
149 func Row*[T: TMat32](m: T, i: 0..2): auto = TVec2([m[i, 0], m[i, 1]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
150 func Row*[T: TMat23](m: T, i: 0..1): auto = TVec3([m[i, 0], m[i, 1], m[i, 2]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
151 func Row*[T: TMat3](m: T, i: 0..2): auto = TVec3([m[i, 0], m[i, 1], m[i, 2]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
152 func Row*[T: TMat43](m: T, i: 0..3): auto = TVec3([m[i, 0], m[i, 1], m[i, 2]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
153 func Row*[T: TMat34](m: T, i: 0..2): auto = TVec4([m[i, 0], m[i, 1], m[i, 2], m[i, 3]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
154 func Row*[T: TMat4](m: T, i: 0..3): auto = TVec4([m[i, 0], m[i, 1], m[i, 2], m[i, 3]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
155
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
156 func Col*[T: TMat2](m: T, i: 0..1): auto = TVec2([m[0, i], m[1, i]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
157 func Col*[T: TMat23](m: T, i: 0..2): auto = TVec2([m[0, i], m[1, i]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
158 func Col*[T: TMat32](m: T, i: 0..1): auto = TVec3([m[0, i], m[1, i], m[2, i]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
159 func Col*[T: TMat3](m: T, i: 0..2): auto = TVec3([m[0, i], m[1, i], m[2, i]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
160 func Col*[T: TMat34](m: T, i: 0..3): auto = TVec3([m[0, i], m[1, i], m[2, i]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
161 func Col*[T: TMat43](m: T, i: 0..2): auto = TVec4([m[0, i], m[1, i], m[2, i], m[3, i]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
162 func Col*[T: TMat4](m: T, i: 0..3): auto = TVec4([m[0, i], m[1, i], m[2, i], m[3, i]])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
163
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
164 proc createMatMatMultiplicationOperator(leftType: typedesc, rightType: typedesc, outType: typedesc): NimNode =
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
165 var data = nnkBracket.newTree()
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
166 for i in 0 ..< RowCount(leftType):
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
167 for j in 0 ..< rightType.ColumnCount:
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
168 data.add(newCall(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
169 ident("sum"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
170 infix(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
171 newCall(newDotExpr(ident("a"), ident("Row")), newLit(i)),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
172 "*",
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
173 newCall(newDotExpr(ident("b"), ident("Col")), newLit(j))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
174 )
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
175 ))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
176
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
177 return newProc(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
178 postfix(nnkAccQuoted.newTree(ident("*")), "*"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
179 params = [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
180 ident("auto"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
181 newIdentDefs(ident("a"), ident(leftType.name)),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
182 newIdentDefs(ident("b"), ident(rightType.name))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
183 ],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
184 body = nnkObjConstr.newTree(ident(outType.name), nnkExprColonExpr.newTree(ident("data"), data)),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
185 procType = nnkFuncDef,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
186 )
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
187
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
188 proc createMatMatAdditionOperator(theType: typedesc): NimNode =
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
189 var data = nnkBracket.newTree()
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
190 for i in 0 ..< matlen(theType):
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
191 data.add(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
192 infix(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
193 nnkBracketExpr.newTree(ident("a"), newLit(i)),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
194 "+",
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
195 nnkBracketExpr.newTree(ident("b"), newLit(i)),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
196 ))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
197
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
198 return newProc(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
199 postfix(nnkAccQuoted.newTree(ident("+")), "*"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
200 params = [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
201 ident("auto"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
202 newIdentDefs(ident("a"), ident(theType.name)),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
203 newIdentDefs(ident("b"), ident(theType.name))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
204 ],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
205 body = nnkObjConstr.newTree(ident(theType.name), nnkExprColonExpr.newTree(ident("data"), data)),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
206 procType = nnkFuncDef,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
207 )
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
208
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
209 proc createVecMatMultiplicationOperator(matType: typedesc, vecType: typedesc): NimNode =
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
210 var data = nnkBracket.newTree()
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
211 for i in 0 ..< matType.RowCount:
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
212 data.add(newCall(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
213 ident("sum"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
214 infix(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
215 ident("v"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
216 "*",
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
217 newCall(newDotExpr(ident("m"), ident("Row")), newLit(i))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
218 )
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
219 ))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
220
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
221 let resultVec = newCall(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
222 nnkBracketExpr.newTree(ident(vecType.name), ident("T")),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
223 data,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
224 )
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
225 let name = postfix(nnkAccQuoted.newTree(ident("*")), "*")
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
226 let genericParams = nnkGenericParams.newTree(nnkIdentDefs.newTree(ident("T"), ident("SomeNumber"), newEmptyNode()))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
227 let formalParams = nnkFormalParams.newTree(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
228 ident("auto"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
229 newIdentDefs(ident("m"), nnkBracketExpr.newTree(ident(matType.name), ident("T"))),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
230 newIdentDefs(ident("v"), nnkBracketExpr.newTree(ident(vecType.name), ident("T"))),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
231 )
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
232
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
233 return nnkFuncDef.newTree(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
234 name,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
235 newEmptyNode(),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
236 genericParams,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
237 formalParams,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
238 newEmptyNode(),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
239 newEmptyNode(),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
240 resultVec
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
241 )
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
242
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
243
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
244 proc createMatScalarOperator(matType: typedesc, op: string): NimNode =
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
245 result = newStmtList()
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
246
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
247 var data = nnkBracket.newTree()
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
248 for i in 0 ..< matType.RowCount * matType.ColumnCount:
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
249 data.add(infix(nnkBracketExpr.newTree(newDotExpr(ident("a"), ident("data")), newLit(i)), op, ident("b")))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
250 result.add(newProc(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
251 postfix(nnkAccQuoted.newTree(ident(op)), "*"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
252 params = [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
253 ident("auto"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
254 newIdentDefs(ident("a"), ident(matType.name)),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
255 newIdentDefs(ident("b"), ident("SomeNumber")),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
256 ],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
257 body = nnkObjConstr.newTree(ident(matType.name), nnkExprColonExpr.newTree(ident("data"), data)),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
258 procType = nnkFuncDef,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
259 ))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
260 result.add(newProc(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
261 postfix(nnkAccQuoted.newTree(ident(op)), "*"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
262 params = [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
263 ident("auto"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
264 newIdentDefs(ident("b"), ident("SomeNumber")),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
265 newIdentDefs(ident("a"), ident(matType.name)),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
266 ],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
267 body = nnkObjConstr.newTree(ident(matType.name), nnkExprColonExpr.newTree(ident("data"), data)),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
268 procType = nnkFuncDef,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
269 ))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
270 if op == "-":
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
271 var data2 = nnkBracket.newTree()
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
272 for i in 0 ..< matType.RowCount * matType.ColumnCount:
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
273 data2.add(prefix(nnkBracketExpr.newTree(newDotExpr(ident("a"), ident("data")), newLit(i)), op))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
274 result.add(newProc(
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
275 postfix(nnkAccQuoted.newTree(ident(op)), "*"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
276 params = [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
277 ident("auto"),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
278 newIdentDefs(ident("a"), ident(matType.name)),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
279 ],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
280 body = nnkObjConstr.newTree(ident(matType.name), nnkExprColonExpr.newTree(ident("data"), data2)),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
281 procType = nnkFuncDef,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
282 ))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
283
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
284 macro createAllMultiplicationOperators() =
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
285 result = newStmtList()
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
286
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
287 for op in ["+", "-", "*", "/"]:
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
288 result.add(createMatScalarOperator(TMat2, op))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
289 result.add(createMatScalarOperator(TMat23, op))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
290 result.add(createMatScalarOperator(TMat32, op))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
291 result.add(createMatScalarOperator(TMat3, op))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
292 result.add(createMatScalarOperator(TMat34, op))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
293 result.add(createMatScalarOperator(TMat43, op))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
294 result.add(createMatScalarOperator(TMat4, op))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
295
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
296 result.add(createMatMatMultiplicationOperator(TMat2, TMat2, TMat2))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
297 result.add(createMatMatMultiplicationOperator(TMat2, TMat23, TMat23))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
298 result.add(createMatMatMultiplicationOperator(TMat23, TMat32, TMat2))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
299 result.add(createMatMatMultiplicationOperator(TMat23, TMat3, TMat23))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
300 result.add(createMatMatMultiplicationOperator(TMat32, TMat2, TMat32))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
301 result.add(createMatMatMultiplicationOperator(TMat32, TMat23, TMat3))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
302 result.add(createMatMatMultiplicationOperator(TMat3, TMat32, TMat32))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
303 result.add(createMatMatMultiplicationOperator(TMat3, TMat3, TMat3))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
304 result.add(createMatMatMultiplicationOperator(TMat3, TMat34, TMat34))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
305 result.add(createMatMatMultiplicationOperator(TMat43, TMat3, TMat43))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
306 result.add(createMatMatMultiplicationOperator(TMat43, TMat34, TMat4))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
307 result.add(createMatMatMultiplicationOperator(TMat4, TMat43, TMat43))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
308 result.add(createMatMatMultiplicationOperator(TMat4, TMat4, TMat4))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
309
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
310 result.add(createMatMatAdditionOperator(TMat2))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
311 result.add(createMatMatAdditionOperator(TMat23))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
312 result.add(createMatMatAdditionOperator(TMat32))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
313 result.add(createMatMatAdditionOperator(TMat3))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
314 result.add(createMatMatAdditionOperator(TMat34))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
315 result.add(createMatMatAdditionOperator(TMat43))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
316 result.add(createMatMatAdditionOperator(TMat4))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
317
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
318 result.add(createVecMatMultiplicationOperator(TMat2, TVec2))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
319 result.add(createVecMatMultiplicationOperator(TMat3, TVec3))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
320 result.add(createVecMatMultiplicationOperator(TMat4, TVec4))
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
321
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
322 createAllMultiplicationOperators()
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
323
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
324 func `*`*(mat: Mat4, vec: Vec3f): Vec3f =
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
325 (mat * vec.ToVec4(1)).ToVec3
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
326
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
327 func Transposed*[T](m: TMat2[T]): TMat2[T] = TMat2[T](data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
328 m[0, 0], m[1, 0],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
329 m[0, 1], m[1, 1],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
330 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
331 func Transposed*[T](m: TMat23[T]): TMat32[T] = TMat32[T](data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
332 m[0, 0], m[1, 0],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
333 m[0, 1], m[1, 1],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
334 m[0, 2], m[1, 2],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
335 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
336 func Transposed*[T](m: TMat32[T]): TMat23[T] = TMat23[T](data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
337 m[0, 0], m[1, 0], m[2, 0],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
338 m[0, 1], m[1, 1], m[2, 1],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
339 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
340 func Transposed*[T](m: TMat3[T]): TMat3[T] = TMat3[T](data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
341 m[0, 0], m[1, 0], m[2, 0],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
342 m[0, 1], m[1, 1], m[2, 1],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
343 m[0, 2], m[1, 2], m[2, 2],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
344 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
345 func Transposed*[T](m: TMat43[T]): TMat34[T] = TMat34[T](data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
346 m[0, 0], m[1, 0], m[2, 0], m[3, 0],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
347 m[0, 1], m[1, 1], m[2, 1], m[3, 1],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
348 m[0, 2], m[1, 2], m[2, 2], m[3, 2],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
349 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
350 func Transposed*[T](m: TMat34[T]): TMat43[T] = TMat43[T](data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
351 m[0, 0], m[1, 0], m[2, 0],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
352 m[0, 1], m[1, 1], m[2, 1],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
353 m[0, 2], m[1, 2], m[2, 2],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
354 m[0, 3], m[1, 3], m[2, 3],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
355 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
356 func Transposed*[T](m: TMat4[T]): TMat4[T] = TMat4[T](data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
357 m[0, 0], m[1, 0], m[2, 0], m[3, 0],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
358 m[0, 1], m[1, 1], m[2, 1], m[3, 1],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
359 m[0, 2], m[1, 2], m[2, 2], m[3, 2],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
360 m[0, 3], m[1, 3], m[2, 3], m[3, 3],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
361 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
362
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
363 func Translate2d*[T](x, y: T): TMat3[T] = TMat3[T](data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
364 T(1), T(0), x,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
365 T(0), T(1), y,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
366 T(0), T(0), T(1),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
367 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
368 func Scale2d*[T](sx, sy: T): TMat3[T] = TMat3[T](data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
369 sx, T(0), T(0),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
370 T(0), sy, T(0),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
371 T(0), T(0), T(1),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
372 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
373 func Rotate2d*[T](angle: T): TMat3[T] = TMat3[T](data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
374 cos(angle), -sin(angle), T(0),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
375 sin(angle), cos(angle), T(0),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
376 T(0), T(0), T(1),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
377 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
378 func Translate*(x = 0'f32, y = 0'f32, z = 0'f32): TMat4[float32] = Mat4(data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
379 1'f32, 0'f32, 0'f32, x,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
380 0'f32, 1'f32, 0'f32, y,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
381 0'f32, 0'f32, 1'f32, z,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
382 0'f32, 0'f32, 0'f32, 1'f32,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
383 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
384 func Translate*[T: TVec3](v: T): TMat4[float32] = Translate(v[0], v[1], v[2])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
385 func Scale*(x = 1'f32, y = 1'f32, z = 1'f32): Mat4 = Mat4(data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
386 x, 0'f32, 0'f32, 0'f32,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
387 0'f32, y, 0'f32, 0'f32,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
388 0'f32, 0'f32, z, 0'f32,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
389 0'f32, 0'f32, 0'f32, 1'f32,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
390 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
391 func Scale*[T: TVec3](v: T): TMat4[float32] = Scale(v[0], v[1], v[2])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
392 func Rotate*(angle: float32, a: Vec3f): Mat4 =
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
393 let
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
394 cosa = cos(angle)
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
395 sina = sin(angle)
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
396 x = a[0]
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
397 y = a[1]
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
398 z = a[2]
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
399 Mat4(data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
400 x * x * (1 - cosa) + cosa, y * x * (1 - cosa) - z * sina, z * x * (1 - cosa) + y * sina, 0'f32,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
401 x * y * (1 - cosa) + z * sina, y * y * (1 - cosa) + cosa, z * y * (1 - cosa) - x * sina, 0'f32,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
402 x * z * (1 - cosa) - y * sina, y * z * (1 - cosa) + x * sina, z * z * (1 - cosa) + cosa, 0'f32,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
403 0'f32, 0'f32, 0'f32, 1'f32,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
404 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
405
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
406 func asMat3(m: Mat4): auto =
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
407 Mat3(data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
408 m[0, 0], m[0, 1], m[0, 2],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
409 m[1, 0], m[1, 1], m[1, 2],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
410 m[2, 0], m[2, 1], m[2, 2],
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
411 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
412
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
413
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
414 func Inversed*(m: Mat4): Mat4 =
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sam <sam@basx.dev>
parents:
diff changeset
415 var m3 = m.asMat3.Transposed
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sam <sam@basx.dev>
parents:
diff changeset
416 m3[0, 0] = 1'f32 / m3[0, 0]
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
417 m3[1, 1] = 1'f32 / m3[1, 1]
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sam <sam@basx.dev>
parents:
diff changeset
418 m3[2, 2] = 1'f32 / m3[2, 2]
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sam <sam@basx.dev>
parents:
diff changeset
419 let col3 = -(m3 * m.Col(3).xyz)
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sam <sam@basx.dev>
parents:
diff changeset
420 return Mat4(data: [
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sam <sam@basx.dev>
parents:
diff changeset
421 m3[0, 0], m3[0, 1], m3[0, 2], col3.x,
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sam <sam@basx.dev>
parents:
diff changeset
422 m3[1, 0], m3[1, 1], m3[1, 2], col3.y,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
423 m3[2, 0], m3[2, 1], m3[2, 2], col3.z,
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sam <sam@basx.dev>
parents:
diff changeset
424 0, 0, 0, 1,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
425 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
426
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
427
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
428 # call e.g. TMat32[int]().randomized() to get a random matrix
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sam <sam@basx.dev>
parents:
diff changeset
429 template makeRandomInit(mattype: typedesc) =
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sam <sam@basx.dev>
parents:
diff changeset
430 proc Randomized*[T: SomeInteger](m: mattype[T]): mattype[T] =
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sam <sam@basx.dev>
parents:
diff changeset
431 for i in 0 ..< result.data.len:
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sam <sam@basx.dev>
parents:
diff changeset
432 result.data[i] = rand(low(typeof(m.data[0])) .. high(typeof(m.data[0])))
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sam <sam@basx.dev>
parents:
diff changeset
433 proc Randomized*[T: SomeFloat](m: mattype[T]): mattype[T] =
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sam <sam@basx.dev>
parents:
diff changeset
434 for i in 0 ..< result.data.len:
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sam <sam@basx.dev>
parents:
diff changeset
435 result.data[i] = rand(T(1.0))
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sam <sam@basx.dev>
parents:
diff changeset
436
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sam <sam@basx.dev>
parents:
diff changeset
437 makeRandomInit(TMat2)
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sam <sam@basx.dev>
parents:
diff changeset
438 makeRandomInit(TMat23)
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sam <sam@basx.dev>
parents:
diff changeset
439 makeRandomInit(TMat32)
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sam <sam@basx.dev>
parents:
diff changeset
440 makeRandomInit(TMat3)
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sam <sam@basx.dev>
parents:
diff changeset
441 makeRandomInit(TMat34)
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sam <sam@basx.dev>
parents:
diff changeset
442 makeRandomInit(TMat43)
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sam <sam@basx.dev>
parents:
diff changeset
443 makeRandomInit(TMat4)
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sam <sam@basx.dev>
parents:
diff changeset
444
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sam <sam@basx.dev>
parents:
diff changeset
445 func Perspective*(fovy, aspect, zNear, zFar: float32): Mat4 =
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sam <sam@basx.dev>
parents:
diff changeset
446 let tanHalfFovy = tan(fovy / 2)
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sam <sam@basx.dev>
parents:
diff changeset
447 return Mat4(data: [
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sam <sam@basx.dev>
parents:
diff changeset
448 1 / (aspect * tanHalfFovy), 0, 0, 0,
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sam <sam@basx.dev>
parents:
diff changeset
449 0, 1 / tanHalfFovy, 0, 0,
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sam <sam@basx.dev>
parents:
diff changeset
450 0, 0, zFar / (zFar - zNear), -(zFar * zNear) / (zFar - zNear),
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sam <sam@basx.dev>
parents:
diff changeset
451 0, 0, 1, 1,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
452 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
453
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
454 func Ortho*(left, right, top, bottom, zNear, zFar: float32): Mat4 =
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sam <sam@basx.dev>
parents:
diff changeset
455 Mat4(data: [
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
456 2 / (right - left), 0, 0, -(right + left) / (right - left),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
457 0, 2 / (bottom - top), 0, -(bottom + top) / (bottom - top),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
458 0, 0, 1 / (zFar - zNear), zNear / (zFar - zNear),
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
459 0, 0, 0, 1,
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
460 ])
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
461
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
462 # create an orthographic perspective that will map from -1 .. 1 on all axis and keep a 1:1 aspect ratio
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
463 # the smaller dimension (width or height) will always be 1 and the larger dimension will be larger, to keep the ratio
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
464 func OrthoWindowAspect*(windowAspect: float32): Mat4 =
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sam <sam@basx.dev>
parents:
diff changeset
465 if windowAspect < 1:
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
466 let space = 2 * (1 / windowAspect - 1) / 2
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sam <sam@basx.dev>
parents:
diff changeset
467 Ortho(-1, 1, -1 - space, 1 + space, 0, 1)
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
468 else:
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
469 let space = 2 * (windowAspect - 1) / 2
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
470 Ortho(-1 - space, 1 + space, -1, 1, 0, 1)
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sam <sam@basx.dev>
parents:
diff changeset
471
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
472 func Position*(mat: Mat4): Vec3f {.deprecated.} =
a3eb305bcac2 start of complete and total refactoring: the ULTIMATE
sam <sam@basx.dev>
parents:
diff changeset
473 mat.Col(3).ToVec3
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sam <sam@basx.dev>
parents:
diff changeset
474
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sam <sam@basx.dev>
parents:
diff changeset
475 func Scaling*(mat: Mat4): Vec3f {.deprecated.} =
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sam <sam@basx.dev>
parents:
diff changeset
476 NewVec4f(mat[0, 0], mat[1, 1], mat[2, 2])