VMath

nimble install vmath

Your single stop for vector math routines for 2d and 3d graphics.

Pure nim no dependencies. Fast. Easy to use.

Has functions for:

Type	Constructor	Description
BVec#	bvec#	a vector of booleans
IVec#	ivec#	a vector of signed integers
UVec#	uvec#	a vector of unsigned integers
Vec#	vec#	a vector of single-precision floating-point numbers
DVec#	dvec#	a vector of double-precision floating-point numbers

And these types:

NIM	GLSL	2	3	4	9	16	4
bool	bool	BVec2	BVec3	BVec4
int32	int	IVec2	IVec3	IVec4
uint32	uint	UVec2	UVec3	UVec4
float32	float	Vec2	Vec3	Vec4	Mat3	Mat4	Quat
float64	double	DVec2	DVec3	DVec4	DMat3	DMat4	DQuat

0.x.x to 1.0.0 vmath breaking changes:

• vec3(v) no longer works please use vec3(v.x, v.y, 0) instead.
• vec3(v, 0) no longer works please use vec3(v.x, v.y, 0) instead.
• 2 * v no longer works due to more vec types please use v * 2 instead.
• m[15] no longer works because matrices are now m[x, y].
• Concept of 3x3 rotation 3d matrix was removed.
• angleBetween got renamed to angle(a, b)
• scaleMat got renamed to scale(v)
• rotationMat3 got renamed to rotate(x)

API: vmath

import vmath

type GVec2

GVec2[T] = array[2, T]

type GVec3

GVec3[T] = array[3, T]

type GVec4

GVec4[T] = array[4, T]

type BVec2

BVec2 = GVec2[bool]

type BVec3

BVec3 = GVec3[bool]

type BVec4

BVec4 = GVec4[bool]

type IVec2

IVec2 = GVec2[int32]

type IVec3

IVec3 = GVec3[int32]

type IVec4

IVec4 = GVec4[int32]

type UVec2

UVec2 = GVec2[uint32]

type UVec3

UVec3 = GVec3[uint32]

type UVec4

UVec4 = GVec4[uint32]

type Vec2

Vec2 = GVec2[float32]

type Vec3

Vec3 = GVec3[float32]

type Vec4

Vec4 = GVec4[float32]

type DVec2

DVec2 = GVec2[float64]

type DVec3

DVec3 = GVec3[float64]

type DVec4

DVec4 = GVec4[float64]

proc ~=

Almost equal.

proc `~=`[T: SomeFloat](a, b: T): bool {.inline.}

proc between

Returns true if value is between min and max or equal to them.

proc between[T](value, min, max: T): bool {.inline.}

proc sign

Returns the sign of a number, -1 or 1.

proc sign[T](v: T): T {.inline.}

proc quantize

Makes v be multiple of n. Rounding to integer quantize by 1.0.

proc quantize[T: SomeFloat](v, n: T): T {.inline.}

proc lerp

Interpolates value between a and b.

• 0 -> a
• 1 -> b
• 0.5 -> between a and b

proc lerp[T: SomeFloat](a, b, v: T): T {.inline.}

proc fixAngle

Make angle be from -PI to PI radians.

proc fixAngle[T: SomeFloat](angle: T): T {.inline.}

proc angleBetween

Angle between angle a and angle b.

proc angleBetween[T: SomeFloat](a, b: T): T {.inline.}

proc turnAngle

Move from angle a to angle b with step of v.

proc turnAngle[T: SomeFloat](a, b, speed: T): T {.inline.}

proc toRadians

proc toRadians[T: SomeFloat](deg: T): T {.inline.}

proc toDegrees

proc toDegrees[T: SomeFloat](rad: T): T {.inline.}

proc gvec2

proc gvec2[T](x, y: T): GVec2[T] {.inline.}

proc gvec3

proc gvec3[T](x, y, z: T): GVec3[T] {.inline.}

proc gvec4

proc gvec4[T](x, y, z, w: T): GVec4[T] {.inline.}

proc bvec2

proc bvec2(x`gensym4, y`gensym4: bool): BVec2 {.inline.}

proc bvec3

proc bvec3(x`gensym4, y`gensym4, z`gensym4: bool): BVec3 {.inline, tags: [].}

proc bvec4

proc bvec4(x`gensym4, y`gensym4, z`gensym4, w`gensym4: bool): BVec4 {.inline, raises: [].}

proc bvec2

proc bvec2(x`gensym4: bool): BVec2 {.inline.}

proc bvec3

proc bvec3(x`gensym4: bool): BVec3 {.inline.}

proc bvec4

proc bvec4(x`gensym4: bool): BVec4 {.inline.}

proc bvec2

proc bvec2[T](x`gensym4: GVec2[T]): BVec2 {.inline.}

proc bvec3

proc bvec3[T](x`gensym4: GVec3[T]): BVec3 {.inline.}

proc bvec4

proc bvec4[T](x`gensym4: GVec4[T]): BVec4 {.inline.}

proc bvec3

proc bvec3[T](x`gensym4: GVec2[T]): BVec3 {.inline.}

proc bvec4

proc bvec4[T](x`gensym4: GVec3[T]): BVec4 {.inline.}

proc ivec2

proc ivec2(x`gensym5, y`gensym5: int32): IVec2 {.inline.}

proc ivec3

proc ivec3(x`gensym5, y`gensym5, z`gensym5: int32): IVec3 {.inline, tags: [].}

proc ivec4

proc ivec4(x`gensym5, y`gensym5, z`gensym5, w`gensym5: int32): IVec4 {.inline, raises: [].}

proc ivec2

proc ivec2(x`gensym5: int32): IVec2 {.inline.}

proc ivec3

proc ivec3(x`gensym5: int32): IVec3 {.inline.}

proc ivec4

proc ivec4(x`gensym5: int32): IVec4 {.inline.}

proc ivec2

proc ivec2[T](x`gensym5: GVec2[T]): IVec2 {.inline.}

proc ivec3

proc ivec3[T](x`gensym5: GVec3[T]): IVec3 {.inline.}

proc ivec4

proc ivec4[T](x`gensym5: GVec4[T]): IVec4 {.inline.}

proc ivec3

proc ivec3[T](x`gensym5: GVec2[T]): IVec3 {.inline.}

proc ivec4

proc ivec4[T](x`gensym5: GVec3[T]): IVec4 {.inline.}

proc uvec2

proc uvec2(x`gensym6, y`gensym6: uint32): UVec2 {.inline.}

proc uvec3

proc uvec3(x`gensym6, y`gensym6, z`gensym6: uint32): UVec3 {.inline, tags: [].}

proc uvec4

proc uvec4(x`gensym6, y`gensym6, z`gensym6, w`gensym6: uint32): UVec4 {.inline, raises: [].}

proc uvec2

proc uvec2(x`gensym6: uint32): UVec2 {.inline.}

proc uvec3

proc uvec3(x`gensym6: uint32): UVec3 {.inline.}

proc uvec4

proc uvec4(x`gensym6: uint32): UVec4 {.inline.}

proc uvec2

proc uvec2[T](x`gensym6: GVec2[T]): UVec2 {.inline.}

proc uvec3

proc uvec3[T](x`gensym6: GVec3[T]): UVec3 {.inline.}

proc uvec4

proc uvec4[T](x`gensym6: GVec4[T]): UVec4 {.inline.}

proc uvec3

proc uvec3[T](x`gensym6: GVec2[T]): UVec3 {.inline.}

proc uvec4

proc uvec4[T](x`gensym6: GVec3[T]): UVec4 {.inline.}

proc vec2

proc vec2(x`gensym7, y`gensym7: float32): Vec2 {.inline.}

proc vec3

proc vec3(x`gensym7, y`gensym7, z`gensym7: float32): Vec3 {.inline, tags: [].}

proc vec4

proc vec4(x`gensym7, y`gensym7, z`gensym7, w`gensym7: float32): Vec4 {.inline, raises: [].}

proc vec2

proc vec2(x`gensym7: float32): Vec2 {.inline.}

proc vec3

proc vec3(x`gensym7: float32): Vec3 {.inline.}

proc vec4

proc vec4(x`gensym7: float32): Vec4 {.inline.}

proc vec2

proc vec2[T](x`gensym7: GVec2[T]): Vec2 {.inline.}

proc vec3

proc vec3[T](x`gensym7: GVec3[T]): Vec3 {.inline.}

proc vec4

proc vec4[T](x`gensym7: GVec4[T]): Vec4 {.inline.}

proc vec3

proc vec3[T](x`gensym7: GVec2[T]): Vec3 {.inline.}

proc vec4

proc vec4[T](x`gensym7: GVec3[T]): Vec4 {.inline.}

proc dvec2

proc dvec2(x`gensym8, y`gensym8: float64): DVec2 {.inline.}

proc dvec3

proc dvec3(x`gensym8, y`gensym8, z`gensym8: float64): DVec3 {.inline, raises: [].}

proc dvec4

proc dvec4(x`gensym8, y`gensym8, z`gensym8, w`gensym8: float64): DVec4 {.inline, raises: [].}

proc dvec2

proc dvec2(x`gensym8: float64): DVec2 {.inline.}

proc dvec3

proc dvec3(x`gensym8: float64): DVec3 {.inline.}

proc dvec4

proc dvec4(x`gensym8: float64): DVec4 {.inline.}

proc dvec2

proc dvec2[T](x`gensym8: GVec2[T]): DVec2 {.inline.}

proc dvec3

proc dvec3[T](x`gensym8: GVec3[T]): DVec3 {.inline.}

proc dvec4

proc dvec4[T](x`gensym8: GVec4[T]): DVec4 {.inline.}

proc dvec3

proc dvec3[T](x`gensym8: GVec2[T]): DVec3 {.inline.}

proc dvec4

proc dvec4[T](x`gensym8: GVec3[T]): DVec4 {.inline.}

proc x

proc x[T](a: var GVec2[T]): var T {.inline.}

proc y

proc y[T](a: var GVec2[T]): var T {.inline.}

proc x

proc x[T](a: var GVec3[T]): var T {.inline.}

proc y

proc y[T](a: var GVec3[T]): var T {.inline.}

proc z

proc z[T](a: var GVec3[T]): var T {.inline.}

proc x

proc x[T](a: var GVec4[T]): var T {.inline.}

proc y

proc y[T](a: var GVec4[T]): var T {.inline.}

proc z

proc z[T](a: var GVec4[T]): var T {.inline.}

proc w

proc w[T](a: var GVec4[T]): var T {.inline.}

proc x

proc x[T](a: GVec2[T]): T {.inline.}

proc x

proc x[T](a: GVec3[T]): T {.inline.}

proc x

proc x[T](a: GVec4[T]): T {.inline.}

proc y

proc y[T](a: GVec2[T]): T {.inline.}

proc y

proc y[T](a: GVec3[T]): T {.inline.}

proc y

proc y[T](a: GVec4[T]): T {.inline.}

proc z

proc z[T](a: GVec2[T]): T {.inline.}

proc z

proc z[T](a: GVec3[T]): T {.inline.}

proc z

proc z[T](a: GVec4[T]): T {.inline.}

proc w

proc w[T](a: GVec2[T]): T {.inline.}

proc w

proc w[T](a: GVec3[T]): T {.inline.}

proc w

proc w[T](a: GVec4[T]): T {.inline.}

proc x=

proc x=[T](a: var GVec234[T]; value: T) {.inline.}

proc y=

proc y=[T](a: var GVec234[T]; value: T) {.inline.}

proc z=

proc z=[T](a: var GVec34[T]; value: T) {.inline.}

proc w=

proc w=[T](a: var GVec4[T]; value: T) {.inline.}

proc xy

proc xy[T](a: GVec234[T]): GVec2[T] {.inline.}

proc xz

proc xz[T](a: GVec234[T]): GVec2[T] {.inline.}

proc yx

proc yx[T](a: GVec234[T]): GVec2[T] {.inline.}

proc yz

proc yz[T](a: GVec234[T]): GVec2[T] {.inline.}

proc zx

proc zx[T](a: GVec234[T]): GVec2[T] {.inline.}

proc zy

proc zy[T](a: GVec234[T]): GVec2[T] {.inline.}

proc xxx

proc xxx[T](a: GVec34[T]): GVec3[T] {.inline.}

proc xxy

proc xxy[T](a: GVec34[T]): GVec3[T] {.inline.}

proc xxz

proc xxz[T](a: GVec34[T]): GVec3[T] {.inline.}

proc xyx

proc xyx[T](a: GVec34[T]): GVec3[T] {.inline.}

proc xyy

proc xyy[T](a: GVec34[T]): GVec3[T] {.inline.}

proc xyz

proc xyz[T](a: GVec34[T]): GVec3[T] {.inline.}

proc xzx

proc xzx[T](a: GVec34[T]): GVec3[T] {.inline.}

proc xzy

proc xzy[T](a: GVec34[T]): GVec3[T] {.inline.}

proc xzz

proc xzz[T](a: GVec34[T]): GVec3[T] {.inline.}

proc yxx

proc yxx[T](a: GVec34[T]): GVec3[T] {.inline.}

proc yxy

proc yxy[T](a: GVec34[T]): GVec3[T] {.inline.}

proc yxz

proc yxz[T](a: GVec34[T]): GVec3[T] {.inline.}

proc yyx

proc yyx[T](a: GVec34[T]): GVec3[T] {.inline.}

proc yyy

proc yyy[T](a: GVec34[T]): GVec3[T] {.inline.}

proc yyz

proc yyz[T](a: GVec34[T]): GVec3[T] {.inline.}

proc yzx

proc yzx[T](a: GVec34[T]): GVec3[T] {.inline.}

proc yzy

proc yzy[T](a: GVec34[T]): GVec3[T] {.inline.}

proc yzz

proc yzz[T](a: GVec34[T]): GVec3[T] {.inline.}

proc zxx

proc zxx[T](a: GVec34[T]): GVec3[T] {.inline.}

proc zxy

proc zxy[T](a: GVec34[T]): GVec3[T] {.inline.}

proc zxz

proc zxz[T](a: GVec34[T]): GVec3[T] {.inline.}

proc zyx

proc zyx[T](a: GVec34[T]): GVec3[T] {.inline.}

proc zyy

proc zyy[T](a: GVec34[T]): GVec3[T] {.inline.}

proc zyz

proc zyz[T](a: GVec34[T]): GVec3[T] {.inline.}

proc zzx

proc zzx[T](a: GVec34[T]): GVec3[T] {.inline.}

proc zzy

proc zzy[T](a: GVec34[T]): GVec3[T] {.inline.}

proc zzz

proc zzz[T](a: GVec34[T]): GVec3[T] {.inline.}

proc +

proc `+`[T](a`gensym9, b`gensym9: GVec2[T]): GVec2[T] {.inline.}

proc +

proc `+`[T](a`gensym9, b`gensym9: GVec3[T]): GVec3[T] {.inline.}

proc +

proc `+`[T](a`gensym9, b`gensym9: GVec4[T]): GVec4[T] {.inline.}

proc +

proc `+`[T](a`gensym9: GVec2[T]; b`gensym9: T): GVec2[T] {.inline.}

proc +

proc `+`[T](a`gensym9: GVec3[T]; b`gensym9: T): GVec3[T] {.inline.}

proc +

proc `+`[T](a`gensym9: GVec4[T]; b`gensym9: T): GVec4[T] {.inline.}

proc +

proc `+`[T](a`gensym9: T; b`gensym9: GVec2[T]): GVec2[T] {.inline.}

proc +

proc `+`[T](a`gensym9: T; b`gensym9: GVec3[T]): GVec3[T] {.inline.}

proc +

proc `+`[T](a`gensym9: T; b`gensym9: GVec4[T]): GVec4[T] {.inline.}

proc -

proc `-`[T](a`gensym10, b`gensym10: GVec2[T]): GVec2[T] {.inline.}

proc -

proc `-`[T](a`gensym10, b`gensym10: GVec3[T]): GVec3[T] {.inline.}

proc -

proc `-`[T](a`gensym10, b`gensym10: GVec4[T]): GVec4[T] {.inline.}

proc -

proc `-`[T](a`gensym10: GVec2[T]; b`gensym10: T): GVec2[T] {.inline.}

proc -

proc `-`[T](a`gensym10: GVec3[T]; b`gensym10: T): GVec3[T] {.inline.}

proc -

proc `-`[T](a`gensym10: GVec4[T]; b`gensym10: T): GVec4[T] {.inline.}

proc -

proc `-`[T](a`gensym10: T; b`gensym10: GVec2[T]): GVec2[T] {.inline.}

proc -

proc `-`[T](a`gensym10: T; b`gensym10: GVec3[T]): GVec3[T] {.inline.}

proc -

proc `-`[T](a`gensym10: T; b`gensym10: GVec4[T]): GVec4[T] {.inline.}

proc *

proc `*`[T](a`gensym11, b`gensym11: GVec2[T]): GVec2[T] {.inline.}

proc *

proc `*`[T](a`gensym11, b`gensym11: GVec3[T]): GVec3[T] {.inline.}

proc *

proc `*`[T](a`gensym11, b`gensym11: GVec4[T]): GVec4[T] {.inline.}

proc *

proc `*`[T](a`gensym11: GVec2[T]; b`gensym11: T): GVec2[T] {.inline.}

proc *

proc `*`[T](a`gensym11: GVec3[T]; b`gensym11: T): GVec3[T] {.inline.}

proc *

proc `*`[T](a`gensym11: GVec4[T]; b`gensym11: T): GVec4[T] {.inline.}

proc *

proc `*`[T](a`gensym11: T; b`gensym11: GVec2[T]): GVec2[T] {.inline.}

proc *

proc `*`[T](a`gensym11: T; b`gensym11: GVec3[T]): GVec3[T] {.inline.}

proc *

proc `*`[T](a`gensym11: T; b`gensym11: GVec4[T]): GVec4[T] {.inline.}

proc /

proc `/`[T](a`gensym12, b`gensym12: GVec2[T]): GVec2[T] {.inline.}

proc /

proc `/`[T](a`gensym12, b`gensym12: GVec3[T]): GVec3[T] {.inline.}

proc /

proc `/`[T](a`gensym12, b`gensym12: GVec4[T]): GVec4[T] {.inline.}

proc /

proc `/`[T](a`gensym12: GVec2[T]; b`gensym12: T): GVec2[T] {.inline.}

proc /

proc `/`[T](a`gensym12: GVec3[T]; b`gensym12: T): GVec3[T] {.inline.}

proc /

proc `/`[T](a`gensym12: GVec4[T]; b`gensym12: T): GVec4[T] {.inline.}

proc /

proc `/`[T](a`gensym12: T; b`gensym12: GVec2[T]): GVec2[T] {.inline.}

proc /

proc `/`[T](a`gensym12: T; b`gensym12: GVec3[T]): GVec3[T] {.inline.}

proc /

proc `/`[T](a`gensym12: T; b`gensym12: GVec4[T]): GVec4[T] {.inline.}

proc mod

proc `mod`[T](a`gensym13, b`gensym13: GVec2[T]): GVec2[T] {.inline.}

proc mod

proc `mod`[T](a`gensym13, b`gensym13: GVec3[T]): GVec3[T] {.inline.}

proc mod

proc `mod`[T](a`gensym13, b`gensym13: GVec4[T]): GVec4[T] {.inline.}

proc mod

proc `mod`[T](a`gensym13: GVec2[T]; b`gensym13: T): GVec2[T] {.inline.}

proc mod

proc `mod`[T](a`gensym13: GVec3[T]; b`gensym13: T): GVec3[T] {.inline.}

proc mod

proc `mod`[T](a`gensym13: GVec4[T]; b`gensym13: T): GVec4[T] {.inline.}

proc mod

proc `mod`[T](a`gensym13: T; b`gensym13: GVec2[T]): GVec2[T] {.inline.}

proc mod

proc `mod`[T](a`gensym13: T; b`gensym13: GVec3[T]): GVec3[T] {.inline.}

proc mod

proc `mod`[T](a`gensym13: T; b`gensym13: GVec4[T]): GVec4[T] {.inline.}

proc div

proc `div`[T](a`gensym14, b`gensym14: GVec2[T]): GVec2[T] {.inline.}

proc div

proc `div`[T](a`gensym14, b`gensym14: GVec3[T]): GVec3[T] {.inline.}

proc div

proc `div`[T](a`gensym14, b`gensym14: GVec4[T]): GVec4[T] {.inline.}

proc div

proc `div`[T](a`gensym14: GVec2[T]; b`gensym14: T): GVec2[T] {.inline.}

proc div

proc `div`[T](a`gensym14: GVec3[T]; b`gensym14: T): GVec3[T] {.inline.}

proc div

proc `div`[T](a`gensym14: GVec4[T]; b`gensym14: T): GVec4[T] {.inline.}

proc div

proc `div`[T](a`gensym14: T; b`gensym14: GVec2[T]): GVec2[T] {.inline.}

proc div

proc `div`[T](a`gensym14: T; b`gensym14: GVec3[T]): GVec3[T] {.inline.}

proc div

proc `div`[T](a`gensym14: T; b`gensym14: GVec4[T]): GVec4[T] {.inline.}

proc +=

proc `+=`[T](a`gensym15: var GVec2[T]; b`gensym15: GVec2[T]) {.inline.}

proc +=

proc `+=`[T](a`gensym15: var GVec3[T]; b`gensym15: GVec3[T]) {.inline.}

proc +=

proc `+=`[T](a`gensym15: var GVec4[T]; b`gensym15: GVec4[T]) {.inline.}

proc +=

proc `+=`[T](a`gensym15: var GVec2[T]; b`gensym15: T) {.inline.}

proc +=

proc `+=`[T](a`gensym15: var GVec3[T]; b`gensym15: T) {.inline.}

proc +=

proc `+=`[T](a`gensym15: var GVec4[T]; b`gensym15: T) {.inline.}

proc -=

proc `-=`[T](a`gensym16: var GVec2[T]; b`gensym16: GVec2[T]) {.inline.}

proc -=

proc `-=`[T](a`gensym16: var GVec3[T]; b`gensym16: GVec3[T]) {.inline.}

proc -=

proc `-=`[T](a`gensym16: var GVec4[T]; b`gensym16: GVec4[T]) {.inline.}

proc -=

proc `-=`[T](a`gensym16: var GVec2[T]; b`gensym16: T) {.inline.}

proc -=

proc `-=`[T](a`gensym16: var GVec3[T]; b`gensym16: T) {.inline.}

proc -=

proc `-=`[T](a`gensym16: var GVec4[T]; b`gensym16: T) {.inline.}

proc *=

proc `*=`[T](a`gensym17: var GVec2[T]; b`gensym17: GVec2[T]) {.inline.}

proc *=

proc `*=`[T](a`gensym17: var GVec3[T]; b`gensym17: GVec3[T]) {.inline.}

proc *=

proc `*=`[T](a`gensym17: var GVec4[T]; b`gensym17: GVec4[T]) {.inline.}

proc *=

proc `*=`[T](a`gensym17: var GVec2[T]; b`gensym17: T) {.inline.}

proc *=

proc `*=`[T](a`gensym17: var GVec3[T]; b`gensym17: T) {.inline.}

proc *=

proc `*=`[T](a`gensym17: var GVec4[T]; b`gensym17: T) {.inline.}

proc /=

proc `/=`[T](a`gensym18: var GVec2[T]; b`gensym18: GVec2[T]) {.inline.}

proc /=

proc `/=`[T](a`gensym18: var GVec3[T]; b`gensym18: GVec3[T]) {.inline.}

proc /=

proc `/=`[T](a`gensym18: var GVec4[T]; b`gensym18: GVec4[T]) {.inline.}

proc /=

proc `/=`[T](a`gensym18: var GVec2[T]; b`gensym18: T) {.inline.}

proc /=

proc `/=`[T](a`gensym18: var GVec3[T]; b`gensym18: T) {.inline.}

proc /=

proc `/=`[T](a`gensym18: var GVec4[T]; b`gensym18: T) {.inline.}

proc -

proc `-`[T](v`gensym19: GVec2[T]): GVec2[T] {.inline.}

proc -

proc `-`[T](v`gensym19: GVec3[T]): GVec3[T] {.inline.}

proc -

proc `-`[T](v`gensym19: GVec4[T]): GVec4[T] {.inline.}

proc sin

proc sin[T](v`gensym20: GVec2[T]): GVec2[T] {.inline.}

proc sin

proc sin[T](v`gensym20: GVec3[T]): GVec3[T] {.inline.}

proc sin

proc sin[T](v`gensym20: GVec4[T]): GVec4[T] {.inline.}

proc cos

proc cos[T](v`gensym21: GVec2[T]): GVec2[T] {.inline.}

proc cos

proc cos[T](v`gensym21: GVec3[T]): GVec3[T] {.inline.}

proc cos

proc cos[T](v`gensym21: GVec4[T]): GVec4[T] {.inline.}

proc tan

proc tan[T](v`gensym22: GVec2[T]): GVec2[T] {.inline.}

proc tan

proc tan[T](v`gensym22: GVec3[T]): GVec3[T] {.inline.}

proc tan

proc tan[T](v`gensym22: GVec4[T]): GVec4[T] {.inline.}

proc arcsin

proc arcsin[T](v`gensym23: GVec2[T]): GVec2[T] {.inline.}

proc arcsin

proc arcsin[T](v`gensym23: GVec3[T]): GVec3[T] {.inline.}

proc arcsin

proc arcsin[T](v`gensym23: GVec4[T]): GVec4[T] {.inline.}

proc arccos

proc arccos[T](v`gensym24: GVec2[T]): GVec2[T] {.inline.}

proc arccos

proc arccos[T](v`gensym24: GVec3[T]): GVec3[T] {.inline.}

proc arccos

proc arccos[T](v`gensym24: GVec4[T]): GVec4[T] {.inline.}

proc arctan

proc arctan[T](v`gensym25: GVec2[T]): GVec2[T] {.inline.}

proc arctan

proc arctan[T](v`gensym25: GVec3[T]): GVec3[T] {.inline.}

proc arctan

proc arctan[T](v`gensym25: GVec4[T]): GVec4[T] {.inline.}

proc sinh

proc sinh[T](v`gensym26: GVec2[T]): GVec2[T] {.inline.}

proc sinh

proc sinh[T](v`gensym26: GVec3[T]): GVec3[T] {.inline.}

proc sinh

proc sinh[T](v`gensym26: GVec4[T]): GVec4[T] {.inline.}

proc cosh

proc cosh[T](v`gensym27: GVec2[T]): GVec2[T] {.inline.}

proc cosh

proc cosh[T](v`gensym27: GVec3[T]): GVec3[T] {.inline.}

proc cosh

proc cosh[T](v`gensym27: GVec4[T]): GVec4[T] {.inline.}

proc tanh

proc tanh[T](v`gensym28: GVec2[T]): GVec2[T] {.inline.}

proc tanh

proc tanh[T](v`gensym28: GVec3[T]): GVec3[T] {.inline.}

proc tanh

proc tanh[T](v`gensym28: GVec4[T]): GVec4[T] {.inline.}

proc exp2

proc exp2[T](v`gensym29: GVec2[T]): GVec2[T] {.inline.}

proc exp2

proc exp2[T](v`gensym29: GVec3[T]): GVec3[T] {.inline.}

proc exp2

proc exp2[T](v`gensym29: GVec4[T]): GVec4[T] {.inline.}

proc inversesqrt

proc inversesqrt[T](v`gensym30: GVec2[T]): GVec2[T] {.inline.}

proc inversesqrt

proc inversesqrt[T](v`gensym30: GVec3[T]): GVec3[T] {.inline.}

proc inversesqrt

proc inversesqrt[T](v`gensym30: GVec4[T]): GVec4[T] {.inline.}

proc exp

proc exp[T](v`gensym31: GVec2[T]): GVec2[T] {.inline.}

proc exp

proc exp[T](v`gensym31: GVec3[T]): GVec3[T] {.inline.}

proc exp

proc exp[T](v`gensym31: GVec4[T]): GVec4[T] {.inline.}

proc ln

proc ln[T](v`gensym32: GVec2[T]): GVec2[T] {.inline.}

proc ln

proc ln[T](v`gensym32: GVec3[T]): GVec3[T] {.inline.}

proc ln

proc ln[T](v`gensym32: GVec4[T]): GVec4[T] {.inline.}

proc log2

proc log2[T](v`gensym33: GVec2[T]): GVec2[T] {.inline.}

proc log2

proc log2[T](v`gensym33: GVec3[T]): GVec3[T] {.inline.}

proc log2

proc log2[T](v`gensym33: GVec4[T]): GVec4[T] {.inline.}

proc sqrt

proc sqrt[T](v`gensym34: GVec2[T]): GVec2[T] {.inline.}

proc sqrt

proc sqrt[T](v`gensym34: GVec3[T]): GVec3[T] {.inline.}

proc sqrt

proc sqrt[T](v`gensym34: GVec4[T]): GVec4[T] {.inline.}

proc floor

proc floor[T](v`gensym35: GVec2[T]): GVec2[T] {.inline.}

proc floor

proc floor[T](v`gensym35: GVec3[T]): GVec3[T] {.inline.}

proc floor

proc floor[T](v`gensym35: GVec4[T]): GVec4[T] {.inline.}

proc ciel

proc ciel[T](v`gensym36: GVec2[T]): GVec2[T] {.inline.}

proc ciel

proc ciel[T](v`gensym36: GVec3[T]): GVec3[T] {.inline.}

proc ciel

proc ciel[T](v`gensym36: GVec4[T]): GVec4[T] {.inline.}

proc abs

proc abs[T](v`gensym37: GVec2[T]): GVec2[T] {.inline.}

proc abs

proc abs[T](v`gensym37: GVec3[T]): GVec3[T] {.inline.}

proc abs

proc abs[T](v`gensym37: GVec4[T]): GVec4[T] {.inline.}

proc ~=

Almost equal.

proc `~=`[T](a, b: GVec2[T]): bool {.inline.}

proc ~=

Almost equal.

proc `~=`[T](a, b: GVec3[T]): bool {.inline.}

proc ~=

Almost equal.

proc `~=`[T](a, b: GVec4[T]): bool {.inline.}

proc length

proc length[T](a: GVec2[T]): T {.inline.}

proc length

proc length[T](a: GVec3[T]): T {.inline.}

proc length

proc length[T](a: GVec4[T]): T {.inline.}

proc lengthSq

proc lengthSq[T](a: GVec2[T]): T {.inline.}

proc lengthSq

proc lengthSq[T](a: GVec3[T]): T {.inline.}

proc lengthSq

proc lengthSq[T](a: GVec4[T]): T {.inline.}

proc normalize

proc normalize[T](a: GVec234[T]): type(a) {.inline.}

proc lerp

proc lerp[T: SomeFloat](a, b: GVec234[T]; v: T): type(a) {.inline.}

proc dot

proc dot[T](a, b: GVec2[T]): T {.inline.}

proc dot

proc dot[T](a, b: GVec3[T]): T {.inline.}

proc dot

proc dot[T](a, b: GVec4[T]): T {.inline.}

proc cross

proc cross[T](a, b: GVec3[T]): GVec3[T] {.inline.}

proc dist

proc dist[T](at, to: GVec234[T]): T {.inline.}

proc distSq

proc distSq[T](at, to: GVec234[T]): T {.inline.}

proc dir

proc dir[T](at, to: GVec234[T]): type(to) {.inline.}

proc dir

proc dir[T](angle: T): GVec2[T] {.inline.}

type GMat2

GMat2[T] = array[2, GVec2[T]]

type GMat3

GMat3[T] = array[3, GVec3[T]]

type GMat4

GMat4[T] = array[4, GVec4[T]]

type Mat2

Mat2 = GMat2[float32]

type Mat3

Mat3 = GMat3[float32]

type Mat4

Mat4 = GMat4[float32]

type DMat2

DMat2 = GMat2[float64]

type DMat3

DMat3 = GMat3[float64]

type DMat4

DMat4 = GMat4[float64]

proc mat2

proc mat2(a`gensym38, b`gensym38, c`gensym38, d`gensym38: float32): Mat2 {. inline.}

proc mat3

proc mat3(a`gensym38, b`gensym38, c`gensym38, d`gensym38, e`gensym38, f`gensym38, g`gensym38, h`gensym38, i`gensym38: float32): Mat3 {. inline.}

proc mat4

proc mat4(a`gensym38, b`gensym38, c`gensym38, d`gensym38, e`gensym38, f`gensym38, g`gensym38, h`gensym38, i`gensym38, j`gensym38, k`gensym38, l`gensym38, m`gensym38, n`gensym38, o`gensym38, p`gensym38: float32): Mat4 {. inline.}

proc mat2

proc mat2(a`gensym38, b`gensym38: GVec2[float32]): Mat2 {.inline, tags: [].}

proc mat3

proc mat3(a`gensym38, b`gensym38, c`gensym38: GVec3[float32]): Mat3 {.inline, raises: [].}

proc mat4

proc mat4(a`gensym38, b`gensym38, c`gensym38, d`gensym38: GVec4[float32]): Mat4 {. inline.}

proc mat2

proc mat2(m`gensym38: GMat3[float32]): Mat2 {.inline.}

proc mat3

proc mat3(m`gensym38: GMat4[float32]): Mat3 {.inline.}

proc mat3

proc mat3(m`gensym38: GMat2[float32]): Mat3 {.inline.}

proc mat4

proc mat4(m`gensym38: GMat3[float32]): Mat4 {.inline.}

proc mat2

proc mat2(): Mat2 {.inline.}

proc mat3

proc mat3(): Mat3 {.inline.}

proc mat4

proc mat4(): Mat4 {.inline.}

proc dmat2

proc dmat2(a`gensym39, b`gensym39, c`gensym39, d`gensym39: float64): DMat2 {. inline.}

proc dmat3

proc dmat3(a`gensym39, b`gensym39, c`gensym39, d`gensym39, e`gensym39, f`gensym39, g`gensym39, h`gensym39, i`gensym39: float64): DMat3 {. inline.}

proc dmat4

proc dmat4(a`gensym39, b`gensym39, c`gensym39, d`gensym39, e`gensym39, f`gensym39, g`gensym39, h`gensym39, i`gensym39, j`gensym39, k`gensym39, l`gensym39, m`gensym39, n`gensym39, o`gensym39, p`gensym39: float64): DMat4 {.inline.}

proc dmat2

proc dmat2(a`gensym39, b`gensym39: GVec2[float64]): DMat2 {.inline, tags: [].}

proc dmat3

proc dmat3(a`gensym39, b`gensym39, c`gensym39: GVec3[float64]): DMat3 {.inline, raises: [].}

proc dmat4

proc dmat4(a`gensym39, b`gensym39, c`gensym39, d`gensym39: GVec4[float64]): DMat4 {. inline.}

proc dmat2

proc dmat2(m`gensym39: GMat3[float64]): DMat2 {.inline.}

proc dmat3

proc dmat3(m`gensym39: GMat4[float64]): DMat3 {.inline.}

proc dmat3

proc dmat3(m`gensym39: GMat2[float64]): DMat3 {.inline.}

proc dmat4

proc dmat4(m`gensym39: GMat3[float64]): DMat4 {.inline.}

proc dmat2

proc dmat2(): DMat2 {.inline.}

proc dmat3

proc dmat3(): DMat3 {.inline.}

proc dmat4

proc dmat4(): DMat4 {.inline.}

proc []

proc `[]`[T](a: GMat234[T]; i, j: int): T {.inline.}

proc []=

proc `[]=`[T](a: var GMat234[T]; i, j: int; v: T) {.inline.}

proc ~=

proc `~=`[T](a, b: GMat2[T]): bool {.inline.}

proc ~=

proc `~=`[T](a, b: GMat3[T]): bool {.inline.}

proc ~=

proc `~=`[T](a, b: GMat4[T]): bool {.inline.}

proc *

proc `*`[T](a, b: GMat3[T]): GMat3[T] {.inline.}

proc *

proc `*`[T](a: GMat3[T]; b: GVec2[T]): GVec2[T] {.inline.}

proc *

proc `*`[T](a, b: GMat4[T]): GMat4[T] {.inline.}

proc *

proc `*`[T](a: GMat4[T]; b: GVec3[T]): GVec3[T] {.inline.}

proc transpose

proc transpose[T](a: GMat3[T]): GMat3[T] {.inline.}

proc transpose

proc transpose[T](a: GMat4[T]): GMat4[T] {.inline.}

proc determinant

proc determinant[T](a: GMat4[T]): T {.inline.}

proc inverse

proc inverse[T](a: GMat3[T]): GMat3[T] {.inline.}

proc inverse

proc inverse[T](a: GMat4[T]): GMat4[T] {.inline.}

proc scale

proc scale[T](v: GVec2[T]): GMat3[T] {.inline.}

proc scale

proc scale[T](v: GVec3[T]): GMat4[T] {.inline.}

proc translate

proc translate[T](v: GVec2[T]): GMat3[T] {.inline.}

proc translate

proc translate[T](v: GVec3[T]): GMat4[T] {.inline.}

proc rotate

proc rotate[T](angle: T): GMat3[T] {.inline.}

proc hrp

proc hrp[T](m: GMat4[T]): GVec3[T] {.inline.}

proc frustum

proc frustum[T](left, right, bottom, top, near, far: T): GMat4[T] {.inline.}

proc perspective

proc perspective[T](fovy, aspect, near, far: T): GMat4[T] {.inline.}

proc ortho

proc ortho[T](left, right, bottom, top, near, far: T): GMat4[T] {.inline.}

proc lookAt

proc lookAt[T](eye, center: GVec3[T]; up = [T(0), 0, 1]): GMat4[T] {.inline.}

proc angle

Angle of a Vec2.

proc angle[T](a: GVec2[T]): T {.inline.}

proc angle

Angle between 2 Vec2.

proc angle[T](a, b: GVec2[T]): T {.inline.}

proc angle

Angle between 2 Vec3.

proc angle[T](a, b: GVec3[T]): T {.inline.}

type Quat

Quat = GVec4[float32]

type DQuat

DQuat = GVec4[float64]

proc quat

proc quat(): Quat {.inline.}

proc quat

proc quat(x`gensym41, y`gensym41, z`gensym41, w`gensym41: float32): Quat {. inline.}

proc quat

proc quat(x`gensym41: float32): Quat {.inline.}

proc quat

proc quat[T](x`gensym41: GVec4[T]): Quat {.inline.}

proc dquat

proc dquat(): DQuat {.inline.}

proc dquat

proc dquat(x`gensym42, y`gensym42, z`gensym42, w`gensym42: float64): DQuat {. inline.}

proc dquat

proc dquat(x`gensym42: float64): DQuat {.inline.}

proc dquat

proc dquat[T](x`gensym42: GVec4[T]): DQuat {.inline.}

proc fromAxisAngle

proc fromAxisAngle[T](axis: GVec3[T]; angle: T): GVec4[T] {.inline.}

proc toAxisAngle

proc toAxisAngle[T](q: GVec4[T]): (GVec3[T], T) {.inline.}

proc orthogonal

proc orthogonal[T](v: GVec3[T]): GVec3[T] {.inline.}

proc fromTwoVectors

Return a quat that would take a and rotate it into b.

proc fromTwoVectors[T](a, b: GVec3[T]): GVec4[T] {.inline.}

proc quat

proc quat[T](m: GMat4[T]): GVec4[T] {.inline.}

proc mat4

proc mat4[T](q: GVec4[T]): GMat4[T] {.inline.}

proc rotate

proc rotate[T](angle: T; axis: GVec3[T]): GMat4[T] {.inline.}

proc rotateX

proc rotateX[T](angle: T): GMat4[T] {.inline.}

proc rotateY

proc rotateY[T](angle: T): GMat4[T] {.inline.}

proc rotateZ

proc rotateZ[T](angle: T): GMat4[T] {.inline.}