vmath 1.0.0 - Breaking Changes. (#29)
# Added a bunch of new types: 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)`
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2045
src/vmath.nim
2045
src/vmath.nim
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50
tests/bench.nim
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50
tests/bench.nim
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@ -0,0 +1,50 @@
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import benchy, vmath
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# TODO: I don't trust these simple benchmarks, make a better test.
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# echo "new vmath"
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# var v = vec3(1, 2, 3)
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# timeIt "+":
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# for i in 0 ..< 1_000_000:
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# v += vec3(4, 5, 6)
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# timeIt "-":
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# for i in 0 ..< 1_000_000:
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# v -= vec3(4, 5, 6)
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# timeIt "*":
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# for i in 0 ..< 1_000_000:
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# v *= PI
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# timeIt "/":
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# for i in 0 ..< 1_000_000:
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# v /= PI
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# timeIt "int +":
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# var v = ivec3(1, 2, 3)
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# for i in 0 ..< 1_000_000:
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# keep v + ivec3(4, 5, 6)
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# timeIt "int -":
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# var v = ivec3(1, 2, 3)
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# for i in 0 ..< 1_000_000:
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# keep v - ivec3(4, 5, 6)
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timeIt "matrix mat4":
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var m = mat4()
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for i in 0 ..< 10_000:
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m = m *
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rotate(0.2.float32, vec3(1, 0, 0)) *
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scale(vec3(0.3)) *
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translate(vec3(1))
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keep m
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timeIt "matrix mat3":
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var m = mat3()
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for i in 0 ..< 10_000:
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m = m * rotate(0.2.float32) * scale(vec2(0.3)) * translate(vec2(1))
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keep m
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timeIt "matrix quat":
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var m = rotate(0.2.float32, vec3(1, 0, 0)) * scale(vec3(0.3)) * translate(vec3(1))
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for i in 0 ..< 100_000:
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keep m.quat().mat4()
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327
tests/test.nim
327
tests/test.nim
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@ -1,4 +1,4 @@
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import vmath, random
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import random, vmath
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randomize(1234)
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@ -12,22 +12,30 @@ block:
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doAssert not(0.001 ~= 0.002)
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doAssert not(0.0001 ~= 0.0002)
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doAssert not(0.00001 ~= 0.00002)
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# Diff < epsilon.
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doAssert 0.000001 ~= 0.000002
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doAssert -0.000001 ~= -0.000002
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doAssert vec2(1.0, 2.0) ~= vec2(1.0, 2.0)
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doAssert vec3(1.0, 2.0, 3.0) ~= vec3(1.0, 2.0, 3.0)
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doAssert vec4(1.0, 2.0, 3.0, 4.0) ~= vec4(1.0, 2.0, 3.0, 4.0)
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doAssert quat(1.0, 2.0, 3.0, 4.0) ~= quat(1.0, 2.0, 3.0, 4.0)
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doAssert dvec2(1) ~= dvec2(1)
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doAssert dvec4(1, 2, 3, 4).xy ~= dvec2(1, 2)
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when compiles(1 ~= 1):
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doAssert false
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block:
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# Test simple functions.
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doAssert between(0.5, 0, 1)
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doAssert not between(1.5, 0, 1)
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doAssert sign(-1) == -1.0
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doAssert sign(0) == 1.0
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doAssert sign(1) == 1.0
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doAssert sign(-1.0) == -1.0
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doAssert sign(0.0) == 1.0
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doAssert sign(1.0) == 1.0
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doAssert quantize(1.23456789, 1.0) ~= 1
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doAssert quantize(1.23456789, 0.1) ~= 1.2
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@ -51,9 +59,9 @@ block:
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doAssert fixAngle(-3.1) ~= -3.1
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doAssert fixAngle(-4.1) ~= 2.183185577392578
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doAssert angleBetween(0, 1.0) ~= 1.0
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doAssert angleBetween(0, PI) ~= PI
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doAssert angleBetween(0, PI + 0.2) ~= (-PI + 0.2)
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doAssert angleBetween(0.0, 1.0) ~= 1.0
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doAssert angleBetween(0.0, PI) ~= PI
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doAssert angleBetween(0.0, PI + 0.2) ~= (-PI + 0.2)
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doAssert angleBetween(0.1, 0.2) ~= 0.1
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doAssert angleBetween(0.1, 0.2 + PI*2) ~= 0.1
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doAssert angleBetween(0.1, 0.2 - PI*2) ~= 0.1
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@ -65,7 +73,7 @@ block:
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doAssert angleBetween(0.2 + PI*2, 0.1) ~= -0.1
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doAssert angleBetween(0.2 - PI*2, 0.1) ~= -0.1
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doAssert turnAngle(0, PI, 0.5) ~= 0.5
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doAssert turnAngle(0.0, PI, 0.5) ~= 0.5
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doAssert turnAngle(0.5, PI, 3.5) ~= PI
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block:
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@ -133,6 +141,214 @@ block:
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a /= n
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doAssert a ~= vec4(1.0, 2.0, 3.0, 4.0)
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block:
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# Test all type constructors compile
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let
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_ = bvec2(true, false)
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_ = bvec3(true, false, true)
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_ = bvec4(true, false, true, false)
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_ = ivec2(-1, 2)
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_ = ivec3(-1, 2, 3)
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_ = ivec4(-1, 2, 3, 4)
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_ = uvec2(1, 2)
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_ = uvec3(1, 2, 3)
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_ = uvec4(1, 2, 3, 4)
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_ = vec2(1.0, 2.0)
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_ = vec3(1.0, 2.0, 3.0)
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_ = vec4(1.0, 2.0, 3.0, 4.0)
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_ = dvec2(1.0, 2.0)
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_ = dvec3(1.0, 2.0, 3.0)
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_ = dvec4(1.0, 2.0, 3.0, 4.0)
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_ = bvec2(true, false)
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_ = bvec3(true, false, true)
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_ = bvec4(true, false, true, false)
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_ = ivec2(-1)
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_ = ivec3(-1)
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_ = ivec4(-1)
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_ = uvec2(1)
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_ = uvec3(1)
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_ = uvec4(1)
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_ = vec2(1.0)
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_ = vec3(1.0)
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_ = vec4(1.0)
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_ = dvec2(1.0)
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_ = dvec3(1.0)
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_ = dvec4(1.0)
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block:
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# Test basic vector mat constructors.
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block:
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let
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_ = mat2()
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_ = mat3()
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_ = mat4()
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block:
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let
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_ = mat2(
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1, 0,
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0, 1
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)
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_ = mat3(
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1, 0, 0,
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0, 1, 0,
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0, 0, 1
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)
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_ = mat4(
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1, 0, 0, 0,
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0, 1, 0, 0,
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0, 0, 1, 0,
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0, 0, 0, 1
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)
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block:
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let
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_ = mat2(
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vec2(1, 0),
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vec2(0, 1)
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)
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_ = mat3(
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vec3(1, 0, 0),
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vec3(0, 1, 0),
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vec3(0, 0, 1)
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)
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_ = mat4(
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vec4(1, 0, 0, 0),
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vec4(0, 1, 0, 0),
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vec4(0, 0, 1, 0),
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vec4(0, 0, 0, 1)
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)
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block:
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let
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_ = dmat2()
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_ = dmat3()
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_ = dmat4()
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block:
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let
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_ = dmat2(
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1, 0,
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0, 1
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)
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_ = dmat3(
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1, 0, 0,
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0, 1, 0,
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0, 0, 1
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)
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_ = dmat4(
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1, 0, 0, 0,
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0, 1, 0, 0,
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0, 0, 1, 0,
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0, 0, 0, 1
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)
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block:
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let
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_ = dmat2(
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dvec2(1, 0),
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dvec2(0, 1)
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)
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_ = dmat3(
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dvec3(1, 0, 0),
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dvec3(0, 1, 0),
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dvec3(0, 0, 1)
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)
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_ = dmat4(
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dvec4(1, 0, 0, 0),
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dvec4(0, 1, 0, 0),
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dvec4(0, 0, 1, 0),
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dvec4(0, 0, 0, 1)
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)
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block:
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# Test basic mat functions.
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doAssert dmat3().transpose() ~= [
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[1.0, 0.0, 0.0],
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[0.0, 1.0, 0.0],
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[0.0, 0.0, 1.0]
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]
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doAssert dmat4().transpose() ~= [
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[1.0, 0.0, 0.0, 0.0],
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[0.0, 1.0, 0.0, 0.0],
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[0.0, 0.0, 1.0, 0.0],
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[0.0, 0.0, 0.0, 1.0]
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]
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doAssert scale(dvec2(1, 2)) ~= [
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[1.0, 0.0, 0.0],
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[0.0, 2.0, 0.0],
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[0.0, 0.0, 1.0]
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]
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doAssert scale(dvec3(2, 2, 3)) ~= [
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[2.0, 0.0, 0.0, 0.0],
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[0.0, 2.0, 0.0, 0.0],
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[0.0, 0.0, 3.0, 0.0],
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[0.0, 0.0, 0.0, 1.0]
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]
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doAssert translate(dvec2(1, 2)) ~= [
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[1.0, 0.0, 0.0],
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[0.0, 1.0, 0.0],
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[1.0, 2.0, 1.0]
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]
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doAssert translate(dvec3(1, 2, 3)) ~= [
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[1.0, 0.0, 0.0, 0.0],
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[0.0, 1.0, 0.0, 0.0],
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[0.0, 0.0, 1.0, 0.0],
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[1.0, 2.0, 3.0, 1.0]
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]
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doAssert rotate(1.0) ~= [
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[0.5403023058681398, -0.8414709848078965, 0.0],
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[0.8414709848078965, 0.5403023058681398, 0.0],
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[0.0, 0.0, 1.0]
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]
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doAssert scale(dvec2(2)) ~= [
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[2.0, 0.0, 0.0],
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[0.0, 2.0, 0.0],
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[0.0, 0.0, 1.0]
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]
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doAssert scale(dvec3(2)) ~= [
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[2.0, 0.0, 0.0, 0.0],
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[0.0, 2.0, 0.0, 0.0],
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[0.0, 0.0, 2.0, 0.0],
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[0.0, 0.0, 0.0, 1.0]
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]
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doAssert translate(dvec2(2)) ~= [
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[1.0, 0.0, 0.0],
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[0.0, 1.0, 0.0],
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[2.0, 2.0, 1.0]
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]
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doAssert translate(dvec3(2)) ~= [
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[1.0, 0.0, 0.0, 0.0],
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[0.0, 1.0, 0.0, 0.0],
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[0.0, 0.0, 1.0, 0.0],
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[2.0, 2.0, 2.0, 1.0]
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]
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doAssert rotate(1.0).inverse() ~= [
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[0.5403023058681398, 0.8414709848078965, -0.0],
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[-0.8414709848078965, 0.5403023058681398, -0.0],
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[0.0, -0.0, 1.0]
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]
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doAssert rotate(1.0, dvec3(1, 0, 0)).inverse() ~= [
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[1.0, 0.0, 0.0, 0.0],
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[-0.0, 0.5403022766113281, 0.8414710164070129, 0.0],
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[0.0, -0.8414710164070129, 0.5403022766113281, 0.0],
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[0.0, 0.0, 0.0, 1.0]
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]
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block:
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# Test basic vector mat4 and quat.
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var m1 = mat4(
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@ -163,59 +379,59 @@ block:
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block:
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# Test Y 90.
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var m1 = rotate(PI/2, vec3(0, 1, 0))
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var m1 = rotate(PI/2, dvec3(0, 1, 0))
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var q1 = m1.quat()
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var m2 = q1.mat4()
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doAssert m1 ~= m2
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block:
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# Test -Y 90.
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var m1 = rotate(PI/2, vec3(0, -1, 0))
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var m1 = rotate(PI/2, dvec3(0, -1, 0))
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var q1 = m1.quat()
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var m2 = q1.mat4()
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doAssert m1 ~= m2
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block:
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# Test X 90.
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var m1 = rotate(PI/2, vec3(1, 0, 0))
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var m1 = rotate(PI/2, dvec3(1, 0, 0))
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var q1 = m1.quat()
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var m2 = q1.mat4()
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doAssert m1 ~= m2
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block:
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# Test Y 90.
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var m1 = rotate(PI/2, vec3(1, 0, 0))
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var m1 = rotate(PI/2, dvec3(1, 0, 0))
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var q1 = m1.quat()
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var m2 = q1.mat4()
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doAssert m1 ~= m2
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block:
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# Test 1,1,1 1.11rad.
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var m1 = rotate(PI*1.11, vec3(1, 1, 1).normalize())
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var m1 = rotate(PI*1.11, dvec3(1, 1, 1).normalize())
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var q1 = m1.quat()
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var m2 = q1.mat4()
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doAssert m1 ~= m2
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block:
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# Test 1,1,1 1.11rad.
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var m1 = rotate(PI*1.11, vec3(-1, 1, 1).normalize())
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var m1 = rotate(PI*1.11, dvec3(-1, 1, 1).normalize())
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var q1 = m1.quat()
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var m2 = q1.mat4()
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doAssert m1 ~= m2
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block:
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# Test 1,1,1 1.11rad.
|
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var m1 = rotate(PI*1.11, vec3(-1, 0.34, 1.123).normalize())
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var m1 = rotate(PI*1.11, dvec3(-1, 0.34, 1.123).normalize())
|
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var q1 = m1.quat()
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var m2 = q1.mat4()
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doAssert m1 ~= m2
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|
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block:
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# Test super random quat test.
|
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for i in 0 .. 100:
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for i in 0 ..< 1000:
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var m1 = rotate(
|
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PI*rand(2.0),
|
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vec3(rand(2.0)-0.5, rand(2.0)-0.5, rand(2.0)-0.5).normalize()
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dvec3(rand(2.0)-0.5, rand(2.0)-0.5, rand(2.0)-0.5).normalize()
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)
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var q1 = m1.quat()
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var m2 = q1.mat4()
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|
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@ -256,49 +472,62 @@ block:
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77.64571380615234, 0.0, 1.0
|
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)
|
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doAssert (a3.mat4 * b3.mat4).mat3 ~= mat3(
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1.0000, 0.0000, 0.0000,
|
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0.0000, 1.0000, 0.0000,
|
||||
50.0000, 50.0000, 0.0000
|
||||
)
|
||||
doAssert a3 * b3 ~= mat3(
|
||||
1.0000, 0.0000, 0.0000,
|
||||
0.0000, 1.0000, 0.0000,
|
||||
50.0000, 50.0000, 1.0000
|
||||
)
|
||||
|
||||
doAssert (
|
||||
mat3(1,2,3,4,5,6,7,8,9).mat4Rotation *
|
||||
mat3(10,20,30,40,50,60,70,80,90).mat4Rotation
|
||||
).mat3Rotation ~= mat3(
|
||||
doAssert mat3(1, 2, 3, 4, 5, 6, 7, 8, 9) *
|
||||
mat3(10, 20, 30, 40, 50, 60, 70, 80, 90) ~= mat3(
|
||||
300.0000, 360.0000, 420.0000,
|
||||
660.0000, 810.0000, 960.0000,
|
||||
1020.0000, 1260.0000, 1500.0000
|
||||
)
|
||||
|
||||
doAssert mat3(1,2,3,4,5,6,7,8,9) * mat3(10,20,30,40,50,60,70,80,90) ~= mat3(
|
||||
300.0000, 360.0000, 420.0000,
|
||||
660.0000, 810.0000, 960.0000,
|
||||
1020.0000, 1260.0000, 1500.0000
|
||||
)
|
||||
doAssert a3.mat4 * vec3(77.64571380615234, 0, 1) ~= vec3(50.0, 50.0, 1.0)
|
||||
doAssert a3 * vec2(77.64571380615234, 0) ~= vec2(50.0, 50.0)
|
||||
doAssert a3 * vec3(77.64571380615234, 0, 1.0) ~= vec3(50.0, 50.0, 1.0)
|
||||
|
||||
block:
|
||||
# hashing
|
||||
doAssert hash(vec2(PI, E)) == 1311648097060332001
|
||||
doAssert hash(vec3(PI, E, TAU)) == 5625953707464987239
|
||||
doAssert hash(vec4(PI, E, TAU, sqrt(2.0))) == -6538384897102876123
|
||||
doAssert hash(quat(1, 0, 0, sqrt(2.0))) == 1497919211694084820
|
||||
doAssert hash( mat3(
|
||||
300.0000, 360.0000, 420.0000,
|
||||
660.0000, 810.0000, 960.0000,
|
||||
1020.0000, 1260.0000, 1500.0000
|
||||
)) == -4194936143766837151
|
||||
doAssert hash(mat4(
|
||||
1.00000, 0.00000, 0.00000, 0.00000,
|
||||
0.00000, 1.00000, 0.00000, 0.00000,
|
||||
0.00000, 0.00000, 1.00000, 0.00000,
|
||||
7.00000, 8.00000, 9.00000, 1.00000
|
||||
)) == 7507518476139335223
|
||||
# test quat and matrix lookat
|
||||
doAssert lookAt(vec3(1, 2, 3), vec3(0, 0, 0)).quat ~=
|
||||
quat(
|
||||
0.07232953608036041,
|
||||
0.3063928484916687,
|
||||
0.9237624406814575,
|
||||
0.2180707305669785
|
||||
)
|
||||
doAssert lookAt(vec3(0, 0, 0), vec3(0, 0, 0)).quat ~= quat(0.0, 0.0, 0.0, 1.0)
|
||||
doAssert lookAt(vec3(1, 0, 0), vec3(0, 0, 0)).quat ~= quat(0.5, 0.5, 0.5, 0.5)
|
||||
doAssert lookAt(vec3(0, 1, 0), vec3(0, 0, 0)).quat ~=
|
||||
quat(
|
||||
0.0,
|
||||
0.7071067690849304,
|
||||
0.7071067690849304,
|
||||
0.0
|
||||
)
|
||||
doAssert lookAt(vec3(0, 0, 1), vec3(0, 0, 0)).quat ~= quat(0.0, 0.0, 0.0, 1.0)
|
||||
|
||||
# Test super random quat test.
|
||||
for i in 0 ..< 1000:
|
||||
var m1 = rotate(
|
||||
PI*rand(2.0),
|
||||
dvec3(rand(2.0)-0.5, rand(2.0)-0.5, rand(2.0)-0.5).normalize()
|
||||
)
|
||||
var q1 = m1.quat()
|
||||
var m2 = q1.mat4()
|
||||
doAssert m1 ~= m2
|
||||
|
||||
block:
|
||||
# test fromTwoVectors
|
||||
let
|
||||
a = vec3(1, 0, 0)
|
||||
b = vec3(0, 1, 0)
|
||||
q1 = fromTwoVectors(a, b)
|
||||
doAssert q1.mat4 * a ~= b
|
||||
|
||||
for i in 0 ..< 1000:
|
||||
let
|
||||
a = vec3(rand(2.0)-0.5, rand(2.0)-0.5, rand(2.0)-0.5).normalize()
|
||||
b = vec3(rand(2.0)-0.5, rand(2.0)-0.5, rand(2.0)-0.5).normalize()
|
||||
q = fromTwoVectors(a, b)
|
||||
doAssert q.mat4 * a ~= b
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
version = "0.5.0"
|
||||
version = "1.0.0"
|
||||
author = "treeform"
|
||||
description = "Math vector library for graphical things."
|
||||
description = "Your single stop for vector math routines for 2d and 3d graphics."
|
||||
license = "MIT"
|
||||
|
||||
srcDir = "src"
|
||||
|
|
|
|||
Loading…
Reference in a new issue