Mercurial > games > semicongine
view semicongine/core/vector.nim @ 382:e76822e943af
Merge branch 'main' of github.com:saemideluxe/semicongine
author | Sam <sam@basx.dev> |
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date | Sat, 02 Dec 2023 22:26:26 +0700 |
parents | src/semicongine/core/vector.nim@451b7ccfe722 src/semicongine/core/vector.nim@bba0e9c881d1 |
children | afdd5ca14abf |
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import std/random import std/math import std/strutils import std/macros import std/typetraits import std/tables import ./vulkanapi type TVec2*[T: SomeNumber] = array[2, T] TVec3*[T: SomeNumber] = array[3, T] TVec4*[T: SomeNumber] = array[4, T] TVec* = TVec2|TVec3|TVec4 Vec2f* = TVec2[float32] Vec3f* = TVec3[float32] Vec4f* = TVec4[float32] Vec2i* = TVec2[int32] Vec3i* = TVec3[int32] Vec4i* = TVec4[int32] Vec2u* = TVec2[uint32] Vec3u* = TVec3[uint32] Vec4u* = TVec4[uint32] 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]) # define some often used constants 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 One2* = ConstOne2[float32]() const One3* = ConstOne3[float32]() const One4* = ConstOne4[float32]() 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: 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) $T & "(" & join(items, " ") & ")" func `$`*(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: 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 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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: 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]]) # special operations 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: 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(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))