--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/semiconginev2/old/core/vector.nim	Wed Jul 17 21:01:37 2024 +0700
@@ -0,0 +1,377 @@
+import std/random
+import std/math
+import std/strutils
+import std/strformat
+import std/macros
+import std/typetraits
+import std/tables
+
+import ./vulkanapi
+
+type
+  TVec1*[T: SomeNumber] = array[1, T]
+  TVec2*[T: SomeNumber] = array[2, T]
+  TVec3*[T: SomeNumber] = array[3, T]
+  TVec4*[T: SomeNumber] = array[4, T]
+  TVec* = TVec1|TVec2|TVec3|TVec4
+  Vec1f* = TVec1[float32]
+  Vec2f* = TVec2[float32]
+  Vec3f* = TVec3[float32]
+  Vec4f* = TVec4[float32]
+  Vec1i* = TVec1[int32]
+  Vec2i* = TVec2[int32]
+  Vec3i* = TVec3[int32]
+  Vec4i* = TVec4[int32]
+  Vec1u* = TVec1[uint32]
+  Vec2u* = TVec2[uint32]
+  Vec3u* = TVec3[uint32]
+  Vec4u* = TVec4[uint32]
+
+converter ToVec1*[T: SomeNumber](orig: TVec3[T]|TVec4[T]): TVec1[T] =
+  TVec1[T]([orig[0]])
+converter ToVec2*[T: SomeNumber](orig: TVec3[T]|TVec4[T]): TVec2[T] =
+  TVec2[T]([orig[0], orig[1]])
+converter ToVec3*[T: SomeNumber](orig: TVec4[T]): TVec3[T] =
+  TVec3[T]([orig[0], orig[1], orig[2]])
+
+func ToVec4*[T: SomeNumber](orig: TVec3[T], value: T = default(T)): TVec4[T] =
+  TVec4[T]([orig[0], orig[1], orig[2], value])
+func ToVec3*[T: SomeNumber](orig: TVec2[T], value: T = default(T)): TVec3[T] =
+  TVec3[T]([orig[0], orig[1], value])
+func ToVec2*[T: SomeNumber](orig: TVec1[T], value: T = default(T)): TVec2[T] =
+  TVec2[T]([orig[0], value])
+
+# define some often used constants
+func ConstOne1[T: SomeNumber](): auto {.compiletime.} = TVec1[T]([T(1)])
+func ConstOne2[T: SomeNumber](): auto {.compiletime.} = TVec2[T]([T(1), T(1)])
+func ConstOne3[T: SomeNumber](): auto {.compiletime.} = TVec3[T]([T(1), T(1), T(1)])
+func ConstOne4[T: SomeNumber](): auto {.compiletime.} = TVec4[T]([T(1), T(1), T(1), T(1)])
+func ConstX[T: SomeNumber](): auto {.compiletime.} = TVec3[T]([T(1), T(0), T(0)])
+func ConstY[T: SomeNumber](): auto {.compiletime.} = TVec3[T]([T(0), T(1), T(0)])
+func ConstZ[T: SomeNumber](): auto {.compiletime.} = TVec3[T]([T(0), T(0), T(1)])
+func ConstR[T: SomeNumber](): auto {.compiletime.} = TVec3[T]([T(1), T(0), T(0)])
+func ConstG[T: SomeNumber](): auto {.compiletime.} = TVec3[T]([T(0), T(1), T(0)])
+func ConstB[T: SomeNumber](): auto {.compiletime.} = TVec3[T]([T(0), T(0), T(1)])
+
+func NewVec2f*(x = 0'f32, y = 0'f32): auto =
+  Vec2f([x, y])
+func NewVec3f*(x = 0'f32, y = 0'f32, z = 0'f32): auto =
+  Vec3f([x, y, z])
+func NewVec4f*(x = 0'f32, y = 0'f32, z = 0'f32, a = 0'f32): auto =
+  Vec4f([x, y, z, a])
+func NewVec2i*(x = 0'i32, y = 0'i32): auto =
+  Vec2i([x, y])
+func NewVec3i*(x = 0'i32, y = 0'i32, z = 0'i32): auto =
+  Vec3i([x, y, z])
+func NewVec4i*(x = 0'i32, y = 0'i32, z = 0'i32, a = 0'i32): auto =
+  Vec4i([x, y, z, a])
+func NewVec2u*(x = 0'u32, y = 0'u32): auto =
+  Vec2u([x, y])
+func NewVec3u*(x = 0'u32, y = 0'u32, z = 0'u32): auto =
+  Vec3u([x, y, z])
+func NewVec4u*(x = 0'u32, y = 0'u32, z = 0'u32, a = 0'u32): auto =
+  Vec4u([x, y, z, a])
+
+# generates constants: Xf, Xf32, Xf64, Xi, Xi8, Xi16, Xi32, Xi64
+# Also for Y, Z, R, G, B and One
+# not sure if this is necessary or even a good idea...
+macro generateAllConsts() =
+  result = newStmtList()
+  for component in ["X", "Y", "Z", "R", "G", "B", "One2", "One3", "One4"]:
+    for theType in ["int", "int8", "int16", "int32", "int64", "float", "float32", "float64"]:
+      var typename = theType[0 .. 0]
+      if theType[^2].isDigit:
+        typename = typename & theType[^2]
+      if theType[^1].isDigit:
+        typename = typename & theType[^1]
+      result.add(
+        newConstStmt(
+          postfix(ident(component & typename), "*"),
+          newCall(nnkBracketExpr.newTree(ident("Const" & component), ident(theType)))
+        )
+      )
+
+generateAllConsts()
+
+const X* = ConstX[float32]()
+const Y* = ConstY[float32]()
+const Z* = ConstZ[float32]()
+const One1* = ConstOne1[float32]()
+const One2* = ConstOne2[float32]()
+const One3* = ConstOne3[float32]()
+const One4* = ConstOne4[float32]()
+
+func NewVec1*[T](x: T): auto = TVec1([x])
+func NewVec2*[T](x, y: T): auto = TVec2([x, y])
+func NewVec3*[T](x, y, z: T): auto = TVec3([x, y, z])
+func NewVec4*[T](x, y, z, w: T): auto = TVec4([x, y, z, w])
+
+func To*[T](v: TVec1): auto = TVec1([T(v[0])])
+func To*[T](v: TVec2): auto = TVec2([T(v[0]), T(v[1])])
+func To*[T](v: TVec3): auto = TVec3([T(v[0]), T(v[1]), T(v[2])])
+func To*[T](v: TVec4): auto = TVec4([T(v[0]), T(v[1]), T(v[2]), T(v[3])])
+
+func toString[T](value: T): string =
+  var items: seq[string]
+  for item in value:
+    items.add(&"{item.float:.5f}")
+  & "(" & join(items, "  ") & ")"
+
+func `$`*(v: TVec1[SomeNumber]): string = toString[TVec1[SomeNumber]](v)
+func `$`*(v: TVec2[SomeNumber]): string = toString[TVec2[SomeNumber]](v)
+func `$`*(v: TVec3[SomeNumber]): string = toString[TVec3[SomeNumber]](v)
+func `$`*(v: TVec4[SomeNumber]): string = toString[TVec4[SomeNumber]](v)
+
+func Length*(vec: TVec1): auto = vec[0]
+func Length*(vec: TVec2[SomeFloat]): auto = sqrt(vec[0] * vec[0] + vec[1] * vec[1])
+func Length*(vec: TVec2[SomeInteger]): auto = sqrt(float(vec[0] * vec[0] + vec[1] * vec[1]))
+func Length*(vec: TVec3[SomeFloat]): auto = sqrt(vec[0] * vec[0] + vec[1] * vec[1] + vec[2] * vec[2])
+func Length*(vec: TVec3[SomeInteger]): auto = sqrt(float(vec[0] * vec[0] + vec[1] * vec[1] + vec[2] * vec[2]))
+func Length*(vec: TVec4[SomeFloat]): auto = sqrt(vec[0] * vec[0] + vec[1] * vec[1] + vec[2] * vec[2] + vec[3] * vec[3])
+func Length*(vec: TVec4[SomeInteger]): auto = sqrt(float(vec[0] * vec[0] + vec[1] * vec[1] + vec[2] * vec[2] + vec[3] * vec[3]))
+
+func Normal*[T: SomeFloat](vec: TVec2[T]): auto =
+  TVec2[T]([vec[1], -vec[0]])
+
+func Normalized*[T: SomeFloat](vec: TVec1[T]): auto =
+  return T(1)
+func Normalized*[T: SomeFloat](vec: TVec2[T]): auto =
+  let l = vec.Length
+  if l == 0: vec
+  else: TVec2[T]([vec[0] / l, vec[1] / l])
+func Normalized*[T: SomeFloat](vec: TVec3[T]): auto =
+  let l = vec.Length
+  if l == 0: return vec
+  else: TVec3[T]([vec[0] / l, vec[1] / l, vec[2] / l])
+func Normalized*[T: SomeFloat](vec: TVec4[T]): auto =
+  let l = vec.Length
+  if l == 0: return vec
+  else: TVec4[T]([vec[0] / l, vec[1] / l, vec[2] / l, vec[3] / l])
+
+# scalar operations
+func `+`*(a: TVec1, b: SomeNumber): auto = TVec1([a[0] + b])
+func `+`*(a: TVec2, b: SomeNumber): auto = TVec2([a[0] + b, a[1] + b])
+func `+`*(a: TVec3, b: SomeNumber): auto = TVec3([a[0] + b, a[1] + b, a[2] + b])
+func `+`*(a: TVec4, b: SomeNumber): auto = TVec4([a[0] + b, a[1] + b, a[2] + b, a[3] + b])
+func `-`*(a: TVec1, b: SomeNumber): auto = TVec1([a[0] - b])
+func `-`*(a: TVec2, b: SomeNumber): auto = TVec2([a[0] - b, a[1] - b])
+func `-`*(a: TVec3, b: SomeNumber): auto = TVec3([a[0] - b, a[1] - b, a[2] - b])
+func `-`*(a: TVec4, b: SomeNumber): auto = TVec4([a[0] - b, a[1] - b, a[2] - b,
+    a[3] - b])
+func `*`*(a: TVec1, b: SomeNumber): auto = TVec1([a[0] * b])
+func `*`*(a: TVec2, b: SomeNumber): auto = TVec2([a[0] * b, a[1] * b])
+func `*`*(a: TVec3, b: SomeNumber): auto = TVec3([a[0] * b, a[1] * b, a[2] * b])
+func `*`*(a: TVec4, b: SomeNumber): auto = TVec4([a[0] * b, a[1] * b, a[2] * b,
+    a[3] * b])
+func `/`*[T: SomeInteger](a: TVec1[T], b: SomeInteger): auto = TVec1([a[0] div b])
+func `/`*[T: SomeFloat](a: TVec1[T], b: SomeFloat): auto = TVec1([a[0] / b])
+func `/`*[T: SomeInteger](a: TVec2[T], b: SomeInteger): auto = TVec2([a[0] div b, a[1] div b])
+func `/`*[T: SomeFloat](a: TVec2[T], b: SomeFloat): auto = TVec2([a[0] / b, a[1] / b])
+func `/`*[T: SomeInteger](a: TVec3[T], b: SomeInteger): auto = TVec3([a[0] div b, a[1] div b, a[2] div b])
+func `/`*[T: SomeFloat](a: TVec3[T], b: SomeFloat): auto = TVec3([a[0] / b, a[1] / b, a[2] / b])
+func `/`*[T: SomeInteger](a: TVec4[T], b: SomeInteger): auto = TVec4([a[0] div b, a[1] div b, a[2] div b, a[3] div b])
+func `/`*[T: SomeFloat](a: TVec4[T], b: SomeFloat): auto = TVec4([a[0] / b, a[1] / b, a[2] / b, a[3] / b])
+
+func `+`*(a: SomeNumber, b: TVec1): auto = TVec1([a + b[0]])
+func `+`*(a: SomeNumber, b: TVec2): auto = TVec2([a + b[0], a + b[1]])
+func `+`*(a: SomeNumber, b: TVec3): auto = TVec3([a + b[0], a + b[1], a + b[2]])
+func `+`*(a: SomeNumber, b: TVec4): auto = TVec4([a + b[0], a + b[1], a + b[2], a + b[3]])
+func `-`*(a: SomeNumber, b: TVec1): auto = TVec1([a - b[0]])
+func `-`*(a: SomeNumber, b: TVec2): auto = TVec2([a - b[0], a - b[1]])
+func `-`*(a: SomeNumber, b: TVec3): auto = TVec3([a - b[0], a - b[1], a - b[2]])
+func `-`*(a: SomeNumber, b: TVec4): auto = TVec4([a - b[0], a - b[1], a - b[2], a - b[3]])
+func `*`*(a: SomeNumber, b: TVec1): auto = TVec1([a * b[0]])
+func `*`*(a: SomeNumber, b: TVec2): auto = TVec2([a * b[0], a * b[1]])
+func `*`*(a: SomeNumber, b: TVec3): auto = TVec3([a * b[0], a * b[1], a * b[2]])
+func `*`*(a: SomeNumber, b: TVec4): auto = TVec4([a * b[0], a * b[1], a * b[2], a * b[3]])
+func `/`*[T: SomeInteger](a: SomeInteger, b: TVec1[T]): auto = TVec1([a div b[0]])
+func `/`*[T: SomeFloat](a: SomeFloat, b: TVec1[T]): auto = TVec1([a / b[0]])
+func `/`*[T: SomeInteger](a: SomeInteger, b: TVec2[T]): auto = TVec2([a div b[0], a div b[1]])
+func `/`*[T: SomeFloat](a: SomeFloat, b: TVec2[T]): auto = TVec2([a / b[0], a / b[1]])
+func `/`*[T: SomeInteger](a: SomeInteger, b: TVec3[T]): auto = TVec3([a div b[0], a div b[1], a div b[2]])
+func `/`*[T: SomeFloat](a: SomeFloat, b: TVec3[T]): auto = TVec3([a / b[0], a / b[1], a / b[2]])
+func `/`*[T: SomeInteger](a: SomeInteger, b: TVec4[T]): auto = TVec4([a div b[
+    0], a div b[1], a div b[2], a div b[3]])
+func `/`*[T: SomeFloat](a: SomeFloat, b: TVec4[T]): auto = TVec4([a / b[0], a /
+    b[1], a / b[2], a / b[3]])
+
+# compontent-wise operations
+func `+`*(a, b: TVec1): auto = TVec1([a[0] + b[0]])
+func `+`*(a, b: TVec2): auto = TVec2([a[0] + b[0], a[1] + b[1]])
+func `+`*(a, b: TVec3): auto = TVec3([a[0] + b[0], a[1] + b[1], a[2] + b[2]])
+func `+`*(a, b: TVec4): auto = TVec4([a[0] + b[0], a[1] + b[1], a[2] + b[2], a[3] + b[3]])
+func `-`*(a: TVec1): auto = TVec1([-a[0]])
+func `-`*(a: TVec2): auto = TVec2([-a[0], -a[1]])
+func `-`*(a: TVec3): auto = TVec3([-a[0], -a[1], -a[2]])
+func `-`*(a: TVec4): auto = TVec4([-a[0], -a[1], -a[2], -a[3]])
+func `-`*(a, b: TVec1): auto = TVec1([a[0] - b[0]])
+func `-`*(a, b: TVec2): auto = TVec2([a[0] - b[0], a[1] - b[1]])
+func `-`*(a, b: TVec3): auto = TVec3([a[0] - b[0], a[1] - b[1], a[2] - b[2]])
+func `-`*(a, b: TVec4): auto = TVec4([a[0] - b[0], a[1] - b[1], a[2] - b[2], a[3] - b[3]])
+func `*`*(a, b: TVec1): auto = TVec1([a[0] * b[0]])
+func `*`*(a, b: TVec2): auto = TVec2([a[0] * b[0], a[1] * b[1]])
+func `*`*(a, b: TVec3): auto = TVec3([a[0] * b[0], a[1] * b[1], a[2] * b[2]])
+func `*`*(a, b: TVec4): auto = TVec4([a[0] * b[0], a[1] * b[1], a[2] * b[2], a[3] * b[3]])
+func `/`*[T: SomeInteger](a, b: TVec1[T]): auto = TVec1([a[0] div b[0]])
+func `/`*[T: SomeFloat](a, b: TVec1[T]): auto = TVec1([a[0] / b[0]])
+func `/`*[T: SomeInteger](a, b: TVec2[T]): auto = TVec2([a[0] div b[0], a[1] div b[1]])
+func `/`*[T: SomeFloat](a, b: TVec2[T]): auto = TVec2([a[0] / b[0], a[1] / b[1]])
+func `/`*[T: SomeInteger](a, b: TVec3[T]): auto = TVec3([a[0] div b[0], a[1] div b[1], a[2] div b[2]])
+func `/`*[T: SomeFloat](a, b: TVec3[T]): auto = TVec3([a[0] / b[0], a[1] / b[1], a[2] / b[2]])
+func `/`*[T: SomeInteger](a, b: TVec4[T]): auto = TVec4([a[0] div b[0], a[1] div b[1], a[2] div b[2], a[3] div b[3]])
+func `/`*[T: SomeFloat](a, b: TVec4[T]): auto = TVec4([a[0] / b[0], a[1] / b[1], a[2] / b[2], a[3] / b[3]])
+
+# assignment operations, scalar
+func `+=`*(a: var TVec1, b: SomeNumber) = a = a + b
+func `+=`*(a: var TVec2, b: SomeNumber) = a = a + b
+func `+=`*(a: var TVec3, b: SomeNumber) = a = a + b
+func `+=`*(a: var TVec4, b: SomeNumber) = a = a + b
+func `-=`*(a: var TVec1, b: SomeNumber) = a = a - b
+func `-=`*(a: var TVec2, b: SomeNumber) = a = a - b
+func `-=`*(a: var TVec3, b: SomeNumber) = a = a - b
+func `-=`*(a: var TVec4, b: SomeNumber) = a = a - b
+func `*=`*(a: var TVec1, b: SomeNumber) = a = a * b
+func `*=`*(a: var TVec2, b: SomeNumber) = a = a * b
+func `*=`*(a: var TVec3, b: SomeNumber) = a = a * b
+func `*=`*(a: var TVec4, b: SomeNumber) = a = a * b
+func `/=`*(a: var TVec1, b: SomeNumber) = a = a / b
+func `/=`*(a: var TVec2, b: SomeNumber) = a = a / b
+func `/=`*(a: var TVec3, b: SomeNumber) = a = a / b
+func `/=`*(a: var TVec4, b: SomeNumber) = a = a / b
+# assignment operations, vector
+func `+=`*(a: var TVec1, b: TVec1) = a = a + b
+func `+=`*(a: var TVec2, b: TVec2) = a = a + b
+func `+=`*(a: var TVec3, b: TVec3) = a = a + b
+func `+=`*(a: var TVec4, b: TVec4) = a = a + b
+func `-=`*(a: var TVec1, b: TVec1) = a = a - b
+func `-=`*(a: var TVec2, b: TVec2) = a = a - b
+func `-=`*(a: var TVec3, b: TVec3) = a = a - b
+func `-=`*(a: var TVec4, b: TVec4) = a = a - b
+func `*=`*(a: var TVec1, b: TVec1) = a = a * b
+func `*=`*(a: var TVec2, b: TVec2) = a = a * b
+func `*=`*(a: var TVec3, b: TVec3) = a = a * b
+func `*=`*(a: var TVec4, b: TVec4) = a = a * b
+func `/=`*(a: var TVec1, b: TVec1) = a = a / b
+func `/=`*(a: var TVec2, b: TVec2) = a = a / b
+func `/=`*(a: var TVec3, b: TVec3) = a = a / b
+func `/=`*(a: var TVec4, b: TVec4) = a = a / b
+
+
+# special operations
+func Pow*(a: TVec1, b: SomeNumber): auto =
+  TVec1([pow(a[0], b)])
+func Pow*(a: TVec2, b: SomeNumber): auto =
+  TVec2([pow(a[0], b), pow(a[1], b)])
+func Pow*(a: TVec3, b: SomeNumber): auto =
+  TVec3([pow(a[0], b), pow(a[1], b), pow(a[2], b)])
+func Pow*(a: TVec4, b: SomeNumber): auto =
+  TVec4([pow(a[0], b), pow(a[1], b), pow(a[2], b), pow(a[3], b)])
+func Dot*(a, b: TVec1): auto = a[0] * b[0]
+func Dot*(a, b: TVec2): auto = a[0] * b[0] + a[1] * b[1]
+func Dot*(a, b: TVec3): auto = a[0] * b[0] + a[1] * b[1] + a[2] * b[2]
+func Dot*(a, b: TVec4): auto = a[0] * b[0] + a[1] * b[1] + a[2] * b[2] + a[3] * b[3]
+func Cross*(a, b: TVec3): auto = TVec3([
+  a[1] * b[2] - a[2] * b[1],
+  a[2] * b[0] - a[0] * b[2],
+  a[0] * b[1] - a[1] * b[0],
+])
+
+
+# macro to allow creation of new vectors by specifying vector components as attributes
+# e.g. myVec.xxy will return a new Vec3 that contains the components x, x an y of the original vector
+# (instead of x, y, z for a simple copy)
+proc vectorAttributeAccessor(accessor: string): seq[NimNode] =
+  const ACCESSOR_INDICES = {
+    'x': 0,
+    'y': 1,
+    'z': 2,
+    'w': 3,
+    'r': 0,
+    'g': 1,
+    'b': 2,
+    'a': 3,
+  }.toTable
+  var getterCode, setterCode: NimNode
+  let accessorvalue = accessor
+
+  if accessorvalue.len == 0:
+    raise newException(Exception, "empty attribute")
+  elif accessorvalue.len == 1:
+    getterCode = nnkBracketExpr.newTree(ident("vec"), newLit(ACCESSOR_INDICES[accessorvalue[0]]))
+    setterCode = nnkStmtList.newTree(
+      nnkAsgn.newTree(
+        nnkBracketExpr.newTree(ident("vec"), newLit(ACCESSOR_INDICES[accessorvalue[0]])), ident("value"))
+    )
+  if accessorvalue.len > 1:
+    var attrs = nnkBracket.newTree()
+    for attrname in accessorvalue:
+      attrs.add(nnkBracketExpr.newTree(ident("vec"), newLit(ACCESSOR_INDICES[attrname])))
+    getterCode = nnkCall.newTree(ident("TVec" & $accessorvalue.len), attrs)
+    setterCode = nnkStmtList.newTree()
+    var i = 0
+    for attrname in accessorvalue:
+      setterCode.add nnkAsgn.newTree(
+        nnkBracketExpr.newTree(ident("vec"), newLit(ACCESSOR_INDICES[attrname])),
+        nnkBracketExpr.newTree(ident("value"), newLit(i)),
+      )
+      inc i
+
+  result.add newProc(
+    name = nnkPostfix.newTree(ident("*"), ident(accessor)),
+    params = [ident("auto"), nnkIdentDefs.newTree(ident("vec"), ident("TVec"), newEmptyNode())],
+    body = newStmtList(getterCode),
+    procType = nnkFuncDef,
+  )
+
+  result.add nnkFuncDef.newTree(
+    nnkPostfix.newTree(
+      newIdentNode("*"),
+      nnkAccQuoted.newTree(newIdentNode(accessor), newIdentNode("="))
+    ),
+    newEmptyNode(),
+    nnkGenericParams.newTree(nnkIdentDefs.newTree(newIdentNode("T"), newEmptyNode(), newEmptyNode())),
+    nnkFormalParams.newTree(
+      newEmptyNode(),
+      nnkIdentDefs.newTree(newIdentNode("vec"), nnkVarTy.newTree(newIdentNode("TVec")), newEmptyNode()),
+      nnkIdentDefs.newTree(newIdentNode("value"), newIdentNode("T"), newEmptyNode())
+    ),
+    newEmptyNode(),
+    newEmptyNode(),
+    setterCode
+  )
+
+macro createVectorAttribAccessorFuncs() =
+  const COORD_ATTRS = ["x", "y", "z", "w"]
+  const COLOR_ATTRS = ["r", "g", "b", "a"]
+  result = nnkStmtList.newTree()
+  for attlist in [COORD_ATTRS, COLOR_ATTRS]:
+    for i in attlist:
+      result.add(vectorAttributeAccessor(i))
+      for j in attlist:
+        result.add(vectorAttributeAccessor(i & j))
+        for k in attlist:
+          result.add(vectorAttributeAccessor(i & j & k))
+          for l in attlist:
+            result.add(vectorAttributeAccessor(i & j & k & l))
+
+createVectorAttribAccessorFuncs()
+
+# call e.g. Vec2[int]().randomized() to get a random matrix
+template makeRandomInit(mattype: typedesc) =
+  proc Randomized*[T: SomeInteger](m: mattype[T]): mattype[T] =
+    for i in 0 ..< result.len:
+      result[i] = rand(low(typeof(m[0])) .. high(typeof(m[0])))
+  proc Randomized*[T: SomeFloat](m: mattype[T]): mattype[T] =
+    for i in 0 ..< result.len:
+      result[i] = rand(1.0)
+
+makeRandomInit(TVec1)
+makeRandomInit(TVec2)
+makeRandomInit(TVec3)
+makeRandomInit(TVec4)
+
+converter Vec2VkExtent*(vec: TVec2[uint32]): VkExtent2D = VkExtent2D(width: vec[0], height: vec[1])
+converter Vec3VkExtent*(vec: TVec2[uint32]): VkExtent3D = VkExtent3D(width: vec[0], height: vec[1], depth: vec[2])
+
+func AngleBetween*(a, b: Vec3f): float32 =
+  arccos(a.Dot(b) / (a.Length * b.Length))