Mercurial > games > semicongine

annotate src/math/matrix.nim @ 17:b40466fa446a

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
add: vertex basics, some refactoring
author Sam <sam@basx.dev>
date Sun, 01 Jan 2023 01:00:50 +0700
parents src/matrix.nim@617c6dcddbe2
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
16
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
1 import std/math
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
2 import std/macros
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
3 import std/random
13
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
4 import std/strutils
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
5 import std/typetraits
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
6
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
7 import ./vector
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
8
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
9 type
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
10 # layout is row-first
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
11 # having an object instead of directly aliasing the array seems a bit ugly at
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
12 # first, but is necessary to be able to work correctly with distinguished
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
13 # types (i.e. Mat23 and Mat32 would be an alias for the same type array[6, T]
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
14 # which prevents the type system from identifying the correct type at times)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
15 #
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
16 # Though, great news is that objects have zero overhead!
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
17 Mat22*[T: SomeNumber] = object
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
18 data: array[4, T]
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
19 Mat23*[T: SomeNumber] = object
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
20 data: array[6, T]
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
21 Mat32*[T: SomeNumber] = object
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
22 data: array[6, T]
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
23 Mat33*[T: SomeNumber] = object
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
24 data: array[9, T]
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
25 Mat34*[T: SomeNumber] = object
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
26 data: array[12, T]
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
27 Mat43*[T: SomeNumber] = object
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
28 data: array[12, T]
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
29 Mat44*[T: SomeNumber] = object
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
30 data: array[16, T]
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
31 MatMM* = Mat22|Mat33|Mat44
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
32 MatMN* = Mat23|Mat32|Mat34|Mat43
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
33 Mat* = MatMM|MatMN
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
34 IntegerMat = Mat22[SomeInteger]|Mat33[SomeInteger]|Mat44[SomeInteger]|Mat23[SomeInteger]|Mat32[SomeInteger]|Mat34[SomeInteger]|Mat43[SomeInteger]
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
35 FloatMat = Mat22[SomeFloat]|Mat33[SomeFloat]|Mat44[SomeFloat]|Mat23[SomeFloat]|Mat32[SomeFloat]|Mat34[SomeFloat]|Mat43[SomeFloat]
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
36
16
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
37 func unit22[T: SomeNumber](): auto {.compiletime.} = Mat22[T](data:[
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
38 T(1), T(0),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
39 T(0), T(1),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
40 ])
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
41 func unit33[T: SomeNumber](): auto {.compiletime.} = Mat33[T](data:[
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
42 T(1), T(0), T(0),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
43 T(0), T(1), T(0),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
44 T(0), T(0), T(1),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
45 ])
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
46 func unit44[T: SomeNumber](): auto {.compiletime.} = Mat44[T](data: [
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
47 T(1), T(0), T(0), T(0),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
48 T(0), T(1), T(0), T(0),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
49 T(0), T(0), T(1), T(0),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
50 T(0), T(0), T(0), T(1),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
51 ])
13
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
52
16
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
53 # generates constants: Unit
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
54 # Also for Y, Z, R, G, B
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
55 # not sure if this is necessary or even a good idea...
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
56 macro generateAllConsts() =
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
57 result = newStmtList()
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
58 for theType in ["int", "int8", "int16", "int32", "int64", "float", "float32", "float64"]:
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
59 var typename = theType[0 .. 0]
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
60 if theType[^2].isDigit:
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
61 typename = typename & theType[^2]
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
62 if theType[^1].isDigit:
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
63 typename = typename & theType[^1]
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
64 result.add(newConstStmt(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
65 postfix(ident("Unit22" & typename), "*"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
66 newCall(nnkBracketExpr.newTree(ident("unit22"), ident(theType)))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
67 ))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
68 result.add(newConstStmt(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
69 postfix(ident("Unit33" & typename), "*"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
70 newCall(nnkBracketExpr.newTree(ident("unit33"), ident(theType)))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
71 ))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
72 result.add(newConstStmt(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
73 postfix(ident("Unit44" & typename), "*"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
74 newCall(nnkBracketExpr.newTree(ident("unit44"), ident(theType)))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
75 ))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
76
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
77 generateAllConsts()
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
78
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
79 const Unit22* = unit22[float]()
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
80 const Unit33* = unit33[float]()
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
81 const Unit44* = unit44[float]()
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
82
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
83 template rowCount*(m: typedesc): int =
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
84 when m is Mat22: 2
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
85 elif m is Mat23: 2
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
86 elif m is Mat32: 3
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
87 elif m is Mat33: 3
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
88 elif m is Mat34: 3
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
89 elif m is Mat43: 4
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
90 elif m is Mat44: 4
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
91 template columnCount*(m: typedesc): int =
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
92 when m is Mat22: 2
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
93 elif m is Mat23: 3
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
94 elif m is Mat32: 2
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
95 elif m is Mat33: 3
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
96 elif m is Mat34: 4
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
97 elif m is Mat43: 3
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
98 elif m is Mat44: 4
13
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
99
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
100
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
101 func toString[T](value: T): string =
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
102 var
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
103 strvalues: seq[string]
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
104 maxwidth = 0
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
105
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
106 for n in value.data:
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
107 let strval = $n
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
108 strvalues.add(strval)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
109 if strval.len > maxwidth:
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
110 maxwidth = strval.len
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
111
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
112 for i in 0 ..< strvalues.len:
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
113 let filler = " ".repeat(maxwidth - strvalues[i].len)
16
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
114 if i mod T.columnCount == T.columnCount - 1:
13
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
115 result &= filler & strvalues[i] & "\n"
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
116 else:
16
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
117 if i mod T.columnCount == 0:
13
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
118 result &= " "
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
119 result &= filler & strvalues[i] & " "
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
120 result = $T & "\n" & result
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
121
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
122 func `$`*(v: Mat22[SomeNumber]): string = toString[Mat22[SomeNumber]](v)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
123 func `$`*(v: Mat23[SomeNumber]): string = toString[Mat23[SomeNumber]](v)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
124 func `$`*(v: Mat32[SomeNumber]): string = toString[Mat32[SomeNumber]](v)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
125 func `$`*(v: Mat33[SomeNumber]): string = toString[Mat33[SomeNumber]](v)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
126 func `$`*(v: Mat34[SomeNumber]): string = toString[Mat34[SomeNumber]](v)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
127 func `$`*(v: Mat43[SomeNumber]): string = toString[Mat43[SomeNumber]](v)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
128 func `$`*(v: Mat44[SomeNumber]): string = toString[Mat44[SomeNumber]](v)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
129
16
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
130 func `[]`*[T: Mat](m: T, row, col: int): auto = m.data[col + row * T.columnCount]
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
131 proc `[]=`*[T: Mat, U](m: var T, row, col: int, value: U) = m.data[col + row * T.columnCount] = value
13
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
132
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
133 func row*[T: Mat22](m: T, i: 0..1): auto = Vec2([m[i, 0], m[i, 1]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
134 func row*[T: Mat32](m: T, i: 0..2): auto = Vec2([m[i, 0], m[i, 1]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
135 func row*[T: Mat23](m: T, i: 0..1): auto = Vec3([m[i, 0], m[i, 1], m[i, 2]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
136 func row*[T: Mat33](m: T, i: 0..2): auto = Vec3([m[i, 0], m[i, 1], m[i, 2]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
137 func row*[T: Mat43](m: T, i: 0..3): auto = Vec3([m[i, 0], m[i, 1], m[i, 2]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
138 func row*[T: Mat34](m: T, i: 0..2): auto = Vec4([m[i, 0], m[i, 1], m[i, 2], m[i, 3]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
139 func row*[T: Mat44](m: T, i: 0..3): auto = Vec4([m[i, 0], m[i, 1], m[i, 2], m[i, 3]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
140
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
141 func col*[T: Mat22](m: T, i: 0..1): auto = Vec2([m[0, i], m[1, i]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
142 func col*[T: Mat23](m: T, i: 0..2): auto = Vec2([m[0, i], m[1, i]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
143 func col*[T: Mat32](m: T, i: 0..1): auto = Vec3([m[0, i], m[1, i], m[2, i]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
144 func col*[T: Mat33](m: T, i: 0..2): auto = Vec3([m[0, i], m[1, i], m[2, i]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
145 func col*[T: Mat34](m: T, i: 0..3): auto = Vec3([m[0, i], m[1, i], m[2, i]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
146 func col*[T: Mat43](m: T, i: 0..2): auto = Vec4([m[0, i], m[1, i], m[2, i], m[3, i]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
147 func col*[T: Mat44](m: T, i: 0..3): auto = Vec4([m[0, i], m[1, i], m[2, i], m[3, i]])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
148
16
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
149 proc createMatMatMultiplicationOperator(leftType: typedesc, rightType: typedesc, outType: typedesc): NimNode =
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
150 var data = nnkBracket.newTree()
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
151 for i in 0 ..< rowCount(leftType):
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
152 for j in 0 ..< rightType.columnCount:
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
153 data.add(newCall(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
154 ident("sum"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
155 infix(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
156 newCall(newDotExpr(ident("a"), ident("row")), newLit(i)),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
157 "*",
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
158 newCall(newDotExpr(ident("b"), ident("col")), newLit(j))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
159 )
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
160 ))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
161
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
162 return newProc(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
163 postfix(nnkAccQuoted.newTree(ident("*")), "*"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
164 params=[
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
165 ident("auto"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
166 newIdentDefs(ident("a"), ident(leftType.name)),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
167 newIdentDefs(ident("b"), ident(rightType.name))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
168 ],
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
169 body=nnkObjConstr.newTree(ident(outType.name), nnkExprColonExpr.newTree(ident("data"), data)),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
170 procType=nnkFuncDef,
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
171 )
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
172
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
173 proc createVecMatMultiplicationOperator(matType: typedesc, vecType: typedesc): NimNode =
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
174 var data = nnkBracket.newTree()
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
175 for i in 0 ..< matType.rowCount:
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
176 data.add(newCall(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
177 ident("sum"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
178 infix(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
179 ident("v"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
180 "*",
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
181 newCall(newDotExpr(ident("m"), ident("row")), newLit(i))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
182 )
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
183 ))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
184
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
185 let resultVec = newCall(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
186 nnkBracketExpr.newTree(ident(vecType.name), ident("T")),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
187 data,
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
188 )
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
189 let name = postfix(nnkAccQuoted.newTree(ident("*")), "*")
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
190 let genericParams = nnkGenericParams.newTree(nnkIdentDefs.newTree(ident("T"), ident("SomeNumber"), newEmptyNode()))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
191 let formalParams = nnkFormalParams.newTree(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
192 ident("auto"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
193 newIdentDefs(ident("m"), nnkBracketExpr.newTree(ident(matType.name), ident("T"))),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
194 newIdentDefs(ident("v"), nnkBracketExpr.newTree(ident(vecType.name), ident("T"))),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
195 )
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
196
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
197 return nnkFuncDef.newTree(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
198 name,
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
199 newEmptyNode(),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
200 genericParams,
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
201 formalParams,
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
202 newEmptyNode(),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
203 newEmptyNode(),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
204 resultVec
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
205 )
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
206
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
207 proc createVecMatMultiplicationOperator1(vecType: typedesc, matType: typedesc): NimNode =
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
208 var data = nnkBracket.newTree()
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
209 for i in 0 ..< matType.columnCount:
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
210 data.add(newCall(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
211 ident("sum"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
212 infix(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
213 ident("v"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
214 "*",
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
215 newCall(newDotExpr(ident("m"), ident("col")), newLit(i))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
216 )
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
217 ))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
218 let resultVec = nnkObjConstr.newTree(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
219 nnkBracketExpr.newTree(ident(vecType.name), ident("float")),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
220 nnkExprColonExpr.newTree(ident("data"), data)
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
221 )
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
222
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
223 return nnkFuncDef.newTree(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
224 ident("test"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
225 newEmptyNode(),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
226 newEmptyNode(),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
227 newEmptyNode(),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
228 newEmptyNode(),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
229 newEmptyNode(),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
230 resultVec,
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
231 )
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
232
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
233 proc createMatScalarOperator(matType: typedesc, op: string): NimNode =
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
234 result = newStmtList()
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
235
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
236 var data = nnkBracket.newTree()
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
237 for i in 0 ..< matType.rowCount * matType.columnCount:
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
238 data.add(infix(nnkBracketExpr.newTree(newDotExpr(ident("a"), ident("data")), newLit(i)), op, ident("b")))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
239 result.add(newProc(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
240 postfix(nnkAccQuoted.newTree(ident(op)), "*"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
241 params=[
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
242 ident("auto"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
243 newIdentDefs(ident("a"), ident(matType.name)),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
244 newIdentDefs(ident("b"), ident("SomeNumber")),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
245 ],
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
246 body=nnkObjConstr.newTree(ident(matType.name), nnkExprColonExpr.newTree(ident("data"), data)),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
247 procType=nnkFuncDef,
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
248 ))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
249 result.add(newProc(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
250 postfix(nnkAccQuoted.newTree(ident(op)), "*"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
251 params=[
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
252 ident("auto"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
253 newIdentDefs(ident("b"), ident("SomeNumber")),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
254 newIdentDefs(ident("a"), ident(matType.name)),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
255 ],
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
256 body=nnkObjConstr.newTree(ident(matType.name), nnkExprColonExpr.newTree(ident("data"), data)),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
257 procType=nnkFuncDef,
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
258 ))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
259 if op == "-":
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
260 var data2 = nnkBracket.newTree()
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
261 for i in 0 ..< matType.rowCount * matType.columnCount:
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
262 data2.add(prefix(nnkBracketExpr.newTree(newDotExpr(ident("a"), ident("data")), newLit(i)), op))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
263 result.add(newProc(
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
264 postfix(nnkAccQuoted.newTree(ident(op)), "*"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
265 params=[
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
266 ident("auto"),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
267 newIdentDefs(ident("a"), ident(matType.name)),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
268 ],
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
269 body=nnkObjConstr.newTree(ident(matType.name), nnkExprColonExpr.newTree(ident("data"), data2)),
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
270 procType=nnkFuncDef,
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
271 ))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
272
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
273 macro createAllMultiplicationOperators() =
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
274 result = newStmtList()
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
275
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
276 for op in ["+", "-", "*", "/"]:
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
277 result.add(createMatScalarOperator(Mat22, op))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
278 result.add(createMatScalarOperator(Mat23, op))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
279 result.add(createMatScalarOperator(Mat32, op))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
280 result.add(createMatScalarOperator(Mat33, op))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
281 result.add(createMatScalarOperator(Mat34, op))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
282 result.add(createMatScalarOperator(Mat43, op))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
283 result.add(createMatScalarOperator(Mat44, op))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
284
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
285 result.add(createMatMatMultiplicationOperator(Mat22, Mat22, Mat22))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
286 result.add(createMatMatMultiplicationOperator(Mat22, Mat23, Mat23))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
287 result.add(createMatMatMultiplicationOperator(Mat23, Mat32, Mat22))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
288 result.add(createMatMatMultiplicationOperator(Mat23, Mat33, Mat23))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
289 result.add(createMatMatMultiplicationOperator(Mat32, Mat22, Mat32))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
290 result.add(createMatMatMultiplicationOperator(Mat32, Mat23, Mat33))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
291 result.add(createMatMatMultiplicationOperator(Mat33, Mat32, Mat32))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
292 result.add(createMatMatMultiplicationOperator(Mat33, Mat33, Mat33))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
293 result.add(createMatMatMultiplicationOperator(Mat33, Mat34, Mat34))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
294 result.add(createMatMatMultiplicationOperator(Mat43, Mat33, Mat43))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
295 result.add(createMatMatMultiplicationOperator(Mat43, Mat34, Mat44))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
296 result.add(createMatMatMultiplicationOperator(Mat44, Mat43, Mat43))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
297 result.add(createMatMatMultiplicationOperator(Mat44, Mat44, Mat44))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
298
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
299 result.add(createVecMatMultiplicationOperator(Mat22, Vec2))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
300 result.add(createVecMatMultiplicationOperator(Mat33, Vec3))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
301 result.add(createVecMatMultiplicationOperator(Mat44, Vec4))
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
302
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
303 createAllMultiplicationOperators()
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
304
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
305
13
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
306 func transposed*[T](m: Mat22[T]): Mat22[T] = Mat22[T](data: [
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
307 m[0, 0], m[1, 0],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
308 m[0, 1], m[1, 1],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
309 ])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
310 func transposed*[T](m: Mat23[T]): Mat32[T] = Mat32[T](data: [
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
311 m[0, 0], m[1, 0],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
312 m[0, 1], m[1, 1],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
313 m[0, 2], m[1, 2],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
314 ])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
315 func transposed*[T](m: Mat32[T]): Mat23[T] = Mat23[T](data: [
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
316 m[0, 0], m[1, 0], m[2, 0],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
317 m[0, 1], m[1, 1], m[2, 1],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
318 ])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
319 func transposed*[T](m: Mat33[T]): Mat33[T] = Mat33[T](data: [
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
320 m[0, 0], m[1, 0], m[2, 0],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
321 m[0, 1], m[1, 1], m[2, 1],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
322 m[0, 2], m[1, 2], m[2, 2],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
323 ])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
324 func transposed*[T](m: Mat43[T]): Mat34[T] = Mat34[T](data: [
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
325 m[0, 0], m[1, 0], m[2, 0], m[3, 0],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
326 m[0, 1], m[1, 1], m[2, 1], m[3, 1],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
327 m[0, 2], m[1, 2], m[2, 2], m[3, 2],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
328 ])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
329 func transposed*[T](m: Mat34[T]): Mat43[T] = Mat43[T](data: [
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
330 m[0, 0], m[1, 0], m[2, 0],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
331 m[0, 1], m[1, 1], m[2, 1],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
332 m[0, 2], m[1, 2], m[2, 2],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
333 m[0, 3], m[1, 3], m[2, 3],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
334 ])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
335 func transposed*[T](m: Mat44[T]): Mat44[T] = Mat44[T](data: [
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
336 m[0, 0], m[1, 0], m[2, 0], m[3, 0],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
337 m[0, 1], m[1, 1], m[2, 1], m[3, 1],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
338 m[0, 2], m[1, 2], m[2, 2], m[3, 2],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
339 m[0, 3], m[1, 3], m[2, 3], m[3, 3],
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
340 ])
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
341
16
617c6dcddbe2 add: matrix multiplications, tests
Sam <sam@basx.dev>
parents: 13
diff changeset
342 # call e.g. Mat32[int]().randomized() to get a random matrix
13
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
343 template makeRandomInit(mattype: typedesc) =
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
344 proc randomized*[T: SomeInteger](m: mattype[T]): mattype[T] =
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
345 for i in 0 ..< result.data.len:
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
346 result.data[i] = rand(low(typeof(m.data[0])) .. high(typeof(m.data[0])))
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
347 proc randomized*[T: SomeFloat](m: mattype[T]): mattype[T] =
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
348 for i in 0 ..< result.data.len:
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
349 result.data[i] = rand(1.0)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
350
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
351 makeRandomInit(Mat22)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
352 makeRandomInit(Mat23)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
353 makeRandomInit(Mat32)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
354 makeRandomInit(Mat33)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
355 makeRandomInit(Mat34)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
356 makeRandomInit(Mat43)
a571db114152 add: vector/matrix modules, tests, nim config script
Sam <sam@basx.dev>
parents:
diff changeset
357 makeRandomInit(Mat44)