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vmath/tests/test.nim
treeform 8ad38bafb0 Add more tests and fix JS mode.
2021-06-02 08:13:39 -07:00

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import random, vmath
randomize(1234)
block:
# Test ~=.
doAssert 1.0 ~= 1.0
doAssert 0.0 ~= 0.0
doAssert -1.0 ~= -1.0
doAssert not(0.1 ~= 0.2)
doAssert not(0.01 ~= 0.02)
doAssert not(0.001 ~= 0.002)
doAssert not(0.0001 ~= 0.0002)
doAssert not(0.00001 ~= 0.00002)
# Diff < epsilon.
doAssert 0.000001 ~= 0.000002
doAssert -0.000001 ~= -0.000002
doAssert vec2(1.0, 2.0) ~= vec2(1.0, 2.0)
doAssert vec3(1.0, 2.0, 3.0) ~= vec3(1.0, 2.0, 3.0)
doAssert vec4(1.0, 2.0, 3.0, 4.0) ~= vec4(1.0, 2.0, 3.0, 4.0)
doAssert quat(1.0, 2.0, 3.0, 4.0) ~= quat(1.0, 2.0, 3.0, 4.0)
doAssert dvec2(1) ~= dvec2(1)
doAssert dvec4(1, 2, 3, 4).xy ~= dvec2(1, 2)
when compiles(1 ~= 1):
doAssert false
block:
# Test simple functions.
doAssert between(0.5, 0, 1)
doAssert not between(1.5, 0, 1)
doAssert sign(-1.0) == -1.0
doAssert sign(0.0) == 1.0
doAssert sign(1.0) == 1.0
doAssert quantize(1.23456789, 1.0) ~= 1
doAssert quantize(1.23456789, 0.1) ~= 1.2
doAssert quantize(1.23456789, 0.01) ~= 1.23
doAssert fractional(0.0) ~= 0.0
doAssert fractional(3.14) ~= 0.14
doAssert fractional(-3.14) ~= 0.14
doAssert fractional(1.23456789) ~= 0.23456789
doAssert fractional(-1.23456789) ~= 0.23456789
doAssert lerp(0.0, 1.0, 0.5) ~= 0.5
doAssert lerp(0.0, 10.0, 0.5) ~= 5.0
doAssert lerp(0.0, 100.0, 0.5) ~= 50.0
doAssert lerp(-1.0, 1.0, 0.25) ~= -0.5
doAssert lerp(-10.0, 10.0, 0.25) ~= -5.0
doAssert lerp(-100.0, 100.0, 0.25) ~= -50.0
doAssert fixAngle(0.1) ~= 0.1
doAssert fixAngle(1.1) ~= 1.1
doAssert fixAngle(2.1) ~= 2.1
doAssert fixAngle(3.1) ~= 3.1
doAssert fixAngle(4.1) ~= -2.183185577392578
doAssert fixAngle(-0.1) ~= -0.1
doAssert fixAngle(-1.1) ~= -1.1
doAssert fixAngle(-2.1) ~= -2.1
doAssert fixAngle(-3.1) ~= -3.1
doAssert fixAngle(-4.1) ~= 2.183185577392578
doAssert angleBetween(0.0, 1.0) ~= 1.0
doAssert angleBetween(0.0, PI) ~= PI
doAssert angleBetween(0.0, PI + 0.2) ~= (-PI + 0.2)
doAssert angleBetween(0.1, 0.2) ~= 0.1
doAssert angleBetween(0.1, 0.2 + PI*2) ~= 0.1
doAssert angleBetween(0.1, 0.2 - PI*2) ~= 0.1
doAssert angleBetween(0.1 + PI*2, 0.2) ~= 0.1
doAssert angleBetween(0.1 - PI*2, 0.2) ~= 0.1
doAssert angleBetween(0.2, 0.1) ~= -0.1
doAssert angleBetween(0.2, 0.1 - PI*2) ~= -0.1
doAssert angleBetween(0.2, 0.1 + PI*2) ~= -0.1
doAssert angleBetween(0.2 + PI*2, 0.1) ~= -0.1
doAssert angleBetween(0.2 - PI*2, 0.1) ~= -0.1
doAssert turnAngle(0.0, PI, 0.5) ~= 0.5
doAssert turnAngle(0.5, PI, 3.5) ~= PI
proc isNaNSlow(f: SomeFloat): bool =
## Returns true if number is a NaN.
f.classify notin {fcNormal, fcZero, fcSubnormal}
assert isNaNSlow(0.3) == false
assert isNaNSlow(0.0) == false
assert isNaNSlow(0.3/0.0) == true
assert isNaNSlow(-0.3/0.0) == true
assert isNaNSlow(5.0e-324) == false
assert isNan(float32(0.3)) == false
assert isNan(float32(0.0)) == false
assert isNan(float32(0.3/0.0)) == true
assert isNan(float32(-0.3/0.0)) == true
assert isNan(float32(5.0e-324)) == false
assert isNan(float64(0.3)) == false
assert isNan(float64(0.0)) == false
assert isNan(float64(0.3/0.0)) == true
assert isNan(float64(-0.3/0.0)) == true
assert isNan(float64(5.0e-324)) == false
block:
when not defined(js):
# Test vec2 cast.
var v = vec2(1.0, 2.0)
var a = cast[array[2, float32]](v)
doAssert a[0] ~= 1.0
doAssert a[1] ~= 2.0
block:
# Test position assignment
var
v2 = vec2(0)
v3 = vec3(0)
v4 = vec4(0)
v2[0] = 1.0
v2[1] = 2.0
doAssert v2 ~= vec2(1, 2)
v3[0] = 1.0
v3[1] = 2.0
v3[2] = 3.0
doAssert v3 ~= vec3(1, 2, 3)
v4[0] = 1.0
v4[1] = 2.0
v4[2] = 3.0
v4[3] = 4.0
doAssert v4 ~= vec4(1, 2, 3, 4)
block:
# Test vec2 constructor.
doAssert vec2(PI, PI) ~= vec2(PI)
block:
# Test basic vector vec2.
var a = vec2(1, 2)
var b = vec2(7, 6)
var n = 13.7
doAssert a + b ~= vec2(8.0, 8.0)
doAssert a - b ~= vec2(-6.0, -4.0)
doAssert a * n ~= vec2(13.7, 27.4)
doAssert a / n ~= vec2(0.0729927, 0.1459854)
a += b
doAssert a ~= vec2(8.0, 8.0)
a -= b
doAssert a ~= vec2(1.0, 2.0)
a *= n
doAssert a ~= vec2(13.7, 27.4)
a /= n
doAssert a ~= vec2(1.0, 2.0)
block:
# Test basic vector vec3.
var a = vec3(1, 2, 3)
var b = vec3(7, 6, 5)
var n = 13.7
doAssert a + b ~= vec3(8.0, 8.0, 8.0)
doAssert a - b ~= vec3(-6.0, -4.0, -2.0)
doAssert a * n ~= vec3(13.69999981, 27.39999962, 41.09999847)
doAssert a / n ~= vec3(0.07299270, 0.14598541, 0.21897811)
a += b
doAssert a ~= vec3(8.0, 8.0, 8.0)
a -= b
doAssert a ~= vec3(1.0, 2.0, 3.0)
a *= n
doAssert a ~= vec3(13.69999981, 27.39999962, 41.09999847)
a /= n
doAssert a ~= vec3(1.0, 2.0, 3.0)
block:
# Test basic vector vec4.
var a = vec4(1, 2, 3, 4)
var b = vec4(7, 6, 5, 4)
var n = 13.7
doAssert a + b ~= vec4(8.0, 8.0, 8.0, 8.0)
doAssert a - b ~= vec4(-6.0, -4.0, -2.0, 0.0)
doAssert a * n ~= vec4(13.69999981, 27.39999962, 41.09999847, 54.79999924)
doAssert a / n ~= vec4(0.07299270, 0.14598541, 0.21897811, 0.29197082)
a += b
doAssert a ~= vec4(8.0, 8.0, 8.0, 8.0)
a -= b
doAssert a ~= vec4(1.0, 2.0, 3.0, 4.0)
a *= n
doAssert a ~= vec4(13.69999981, 27.39999962, 41.09999847, 54.79999924)
a /= n
doAssert a ~= vec4(1.0, 2.0, 3.0, 4.0)
block:
# Test all type constructors compile
let
_ = bvec2(true, false)
_ = bvec3(true, false, true)
_ = bvec4(true, false, true, false)
_ = ivec2(-1, 2)
_ = ivec3(-1, 2, 3)
_ = ivec4(-1, 2, 3, 4)
_ = uvec2(1, 2)
_ = uvec3(1, 2, 3)
_ = uvec4(1, 2, 3, 4)
_ = vec2(1.0, 2.0)
_ = vec3(1.0, 2.0, 3.0)
_ = vec4(1.0, 2.0, 3.0, 4.0)
_ = dvec2(1.0, 2.0)
_ = dvec3(1.0, 2.0, 3.0)
_ = dvec4(1.0, 2.0, 3.0, 4.0)
_ = bvec2(true)
_ = bvec3(true)
_ = bvec4(true)
_ = ivec2(-1)
_ = ivec3(-1)
_ = ivec4(-1)
_ = uvec2(1)
_ = uvec3(1)
_ = uvec4(1)
_ = vec2(1.0)
_ = vec3(1.0)
_ = vec4(1.0)
_ = dvec2(1.0)
_ = dvec3(1.0)
_ = dvec4(1.0)
_ = bvec2()
_ = bvec3()
_ = bvec4()
_ = ivec2()
_ = ivec3()
_ = ivec4()
_ = uvec2()
_ = uvec3()
_ = uvec4()
_ = vec2()
_ = vec3()
_ = vec4()
_ = dvec2()
_ = dvec3()
_ = dvec4()
block:
# test $ string functions
doAssert $bvec2(true, false) == "bvec2(true, false)"
doAssert $bvec3(true, false, true) == "bvec3(true, false, true)"
doAssert $bvec4(true, false, true, false) == "bvec4(true, false, true, false)"
doAssert $ivec2(1, 2) == "ivec2(1, 2)"
doAssert $ivec3(1, 2, 3) == "ivec3(1, 2, 3)"
doAssert $ivec4(1, 2, 3, 4) == "ivec4(1, 2, 3, 4)"
doAssert $uvec2(1, 2) == "uvec2(1, 2)"
doAssert $uvec3(1, 2, 3) == "uvec3(1, 2, 3)"
doAssert $uvec4(1, 2, 3, 4) == "uvec4(1, 2, 3, 4)"
doAssert $vec2(1.0, 2.0) == "vec2(1.0, 2.0)"
doAssert $vec3(1.0, 2.0, 3.0) == "vec3(1.0, 2.0, 3.0)"
doAssert $vec4(1.0, 2.0, 3.0, 4.0) == "vec4(1.0, 2.0, 3.0, 4.0)"
doAssert $dvec2(1.0, 2.0) == "dvec2(1.0, 2.0)"
doAssert $dvec3(1.0, 2.0, 3.0) == "dvec3(1.0, 2.0, 3.0)"
doAssert $dvec4(1.0, 2.0, 3.0, 4.0) == "dvec4(1.0, 2.0, 3.0, 4.0)"
echo vec2(1.0, 2.0)
echo vec3(1.0, 2.0, 3.0)
echo vec4(1.0, 2.0, 3.0, 4.0)
block:
# Test basic mat constructors.
block:
let
_ = mat2()
_ = mat3()
_ = mat4()
block:
let
_ = mat2(
1, 0,
0, 1
)
_ = mat3(
1, 0, 0,
0, 1, 0,
0, 0, 1
)
_ = mat4(
1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1
)
block:
# test $ string functions
echo mat2(
1, 0,
0, 1
)
echo mat3(
1, 0, 0,
0, 1, 0,
0, 0, 1
)
echo mat4(
1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1
)
echo dmat2(
1, 0,
0, 1
)
echo dmat3(
1, 0, 0,
0, 1, 0,
0, 0, 1
)
echo dmat4(
1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1
)
assert $mat2(
1, 3,
0, 1
) == """mat2(
1.0, 3.0,
0.0, 1.0
)"""
assert $mat3(
1, 3, 0,
0, 1, 0,
0, 3, 1
) == """mat3(
1.0, 3.0, 0.0,
0.0, 1.0, 0.0,
0.0, 3.0, 1.0
)"""
assert $mat4(
1, 3, 0, 0,
0, 1, 0, 0,
0, 3, 1, 0,
0, 3, 0, 1
) == """mat4(
1.0, 3.0, 0.0, 0.0,
0.0, 1.0, 0.0, 0.0,
0.0, 3.0, 1.0, 0.0,
0.0, 3.0, 0.0, 1.0
)"""
assert $dmat2(
1, 0,
4, 1
) == """dmat2(
1.0, 0.0,
4.0, 1.0
)"""
assert $dmat3(
1, 0, 0,
4, 1, 0,
4, 0, 1
) == """dmat3(
1.0, 0.0, 0.0,
4.0, 1.0, 0.0,
4.0, 0.0, 1.0
)"""
assert $dmat4(
1, 0, 0, 0,
4, 1, 0, 0,
4, 0, 1, 0,
4, 0, 0, 1
) == """dmat4(
1.0, 0.0, 0.0, 0.0,
4.0, 1.0, 0.0, 0.0,
4.0, 0.0, 1.0, 0.0,
4.0, 0.0, 0.0, 1.0
)"""
block:
let
_ = mat2(
vec2(1, 0),
vec2(0, 1)
)
_ = mat3(
vec3(1, 0, 0),
vec3(0, 1, 0),
vec3(0, 0, 1)
)
_ = mat4(
vec4(1, 0, 0, 0),
vec4(0, 1, 0, 0),
vec4(0, 0, 1, 0),
vec4(0, 0, 0, 1)
)
block:
let
_ = dmat2()
_ = dmat3()
_ = dmat4()
block:
let
_ = dmat2(
1, 0,
0, 1
)
_ = dmat3(
1, 0, 0,
0, 1, 0,
0, 0, 1
)
_ = dmat4(
1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1
)
block:
let
_ = dmat2(
dvec2(1, 0),
dvec2(0, 1)
)
_ = dmat3(
dvec3(1, 0, 0),
dvec3(0, 1, 0),
dvec3(0, 0, 1)
)
_ = dmat4(
dvec4(1, 0, 0, 0),
dvec4(0, 1, 0, 0),
dvec4(0, 0, 1, 0),
dvec4(0, 0, 0, 1)
)
block:
var
d2 = dmat2()
d3 = dmat3()
d4 = dmat4()
d2[0, 0] = 123.123
d2[1, 1] = 123.123
d3[0, 0] = 123.123
d3[1, 1] = 123.123
d3[2, 2] = 123.123
d4[0, 0] = 123.123
d4[1, 1] = 123.123
d4[2, 2] = 123.123
d4[3, 3] = 123.123
block:
# Test basic mat functions.
doAssert dmat3().transpose() ~= dmat3(
1.0, 0.0, 0.0,
0.0, 1.0, 0.0,
0.0, 0.0, 1.0
)
doAssert dmat4().transpose() ~= dmat4(
1.0, 0.0, 0.0, 0.0,
0.0, 1.0, 0.0, 0.0,
0.0, 0.0, 1.0, 0.0,
0.0, 0.0, 0.0, 1.0
)
doAssert scale(dvec2(1, 2)) ~= dmat3(
1.0, 0.0, 0.0,
0.0, 2.0, 0.0,
0.0, 0.0, 1.0
)
doAssert scale(dvec3(2, 2, 3)) ~= dmat4(
2.0, 0.0, 0.0, 0.0,
0.0, 2.0, 0.0, 0.0,
0.0, 0.0, 3.0, 0.0,
0.0, 0.0, 0.0, 1.0
)
doAssert translate(dvec2(1, 2)) ~= dmat3(
1.0, 0.0, 0.0,
0.0, 1.0, 0.0,
1.0, 2.0, 1.0
)
doAssert translate(dvec3(1, 2, 3)) ~= dmat4(
1.0, 0.0, 0.0, 0.0,
0.0, 1.0, 0.0, 0.0,
0.0, 0.0, 1.0, 0.0,
1.0, 2.0, 3.0, 1.0
)
doAssert rotate(1.0) ~= dmat3(
0.5403023058681398, -0.8414709848078965, 0.0,
0.8414709848078965, 0.5403023058681398, 0.0,
0.0, 0.0, 1.0
)
doAssert scale(dvec2(2)) ~= dmat3(
2.0, 0.0, 0.0,
0.0, 2.0, 0.0,
0.0, 0.0, 1.0
)
doAssert scale(dvec3(2)) ~= dmat4(
2.0, 0.0, 0.0, 0.0,
0.0, 2.0, 0.0, 0.0,
0.0, 0.0, 2.0, 0.0,
0.0, 0.0, 0.0, 1.0
)
doAssert translate(dvec2(2)) ~= dmat3(
1.0, 0.0, 0.0,
0.0, 1.0, 0.0,
2.0, 2.0, 1.0
)
doAssert translate(dvec3(2)) ~= dmat4(
1.0, 0.0, 0.0, 0.0,
0.0, 1.0, 0.0, 0.0,
0.0, 0.0, 1.0, 0.0,
2.0, 2.0, 2.0, 1.0
)
doAssert rotate(1.0).inverse() ~= dmat3(
0.5403023058681398, 0.8414709848078965, -0.0,
-0.8414709848078965, 0.5403023058681398, -0.0,
0.0, -0.0, 1.0
)
doAssert rotate(1.0, dvec3(1, 0, 0)).inverse() ~= dmat4(
1.0, 0.0, 0.0, 0.0,
-0.0, 0.5403022766113281, 0.8414710164070129, 0.0,
0.0, -0.8414710164070129, 0.5403022766113281, 0.0,
0.0, 0.0, 0.0, 1.0
)
doAssert translate(vec2(1, 2)).pos == vec2(1, 2)
var translation = translate(vec2(1, 2))
translation.pos = vec2(3, 4)
doAssert translation.pos == vec2(3, 4)
block:
# Test basic vector mat4 and quat.
var m1 = mat4(
1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1)
var q1 = m1.quat()
var m2 = q1.mat4()
doAssert m2 ~= 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,
0.00000, 0.00000, 0.00000, 1.00000
)
doAssert m1 ~= (m2)
block:
# Test basic vector mat4 -1.
var m1 = mat4(
1, 0, 0, 0,
0, 0, -1, 0,
0, 1, 0, 0,
0, 0, 0, 1)
var q1 = m1.quat()
var m2 = q1.mat4()
doAssert m1 ~= m2
block:
# Test Y 90.
var m1 = rotate(PI/2, dvec3(0, 1, 0))
var q1 = m1.quat()
var m2 = q1.mat4()
doAssert m1 ~= m2
block:
# Test -Y 90.
var m1 = rotate(PI/2, dvec3(0, -1, 0))
var q1 = m1.quat()
var m2 = q1.mat4()
doAssert m1 ~= m2
block:
# Test X 90.
var m1 = rotate(PI/2, dvec3(1, 0, 0))
var q1 = m1.quat()
var m2 = q1.mat4()
doAssert m1 ~= m2
block:
# Test Y 90.
var m1 = rotate(PI/2, dvec3(1, 0, 0))
var q1 = m1.quat()
var m2 = q1.mat4()
doAssert m1 ~= m2
block:
# Test 1,1,1 1.11rad.
var m1 = rotate(PI*1.11, dvec3(1, 1, 1).normalize())
var q1 = m1.quat()
var m2 = q1.mat4()
doAssert m1 ~= m2
block:
# Test 1,1,1 1.11rad.
var m1 = rotate(PI*1.11, dvec3(-1, 1, 1).normalize())
var q1 = m1.quat()
var m2 = q1.mat4()
doAssert m1 ~= m2
block:
# Test 1,1,1 1.11rad.
var m1 = rotate(PI*1.11, dvec3(-1, 0.34, 1.123).normalize())
var q1 = m1.quat()
var m2 = q1.mat4()
doAssert m1 ~= m2
block:
# 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 *=1 /=1 don't change anything.
var v2 = vec2(0, 0)
v2 *= 1
v2 /= 1
doAssert v2 == vec2(0, 0)
var v3 = vec3(0, 0, 0)
v3 *= 1
v3 /= 1
doAssert v3 == vec3(0, 0, 0)
var v4 = vec4(0, 0, 0, 0)
v4 *= 1
v4 /= 1
doAssert v4 == vec4(0, 0, 0, 0)
var q = quat(0, 0, 0, 0)
q *= 1
q /= 1
doAssert q == quat(0, 0, 0, 0)
block:
# Test matrix and vector multiplication.
var a3 = mat3(
0.9659258723258972, -0.258819043636322, 0.0,
0.258819043636322, 0.9659258723258972, 0.0,
-25.00000953674316, 70.09619140625, 1.0
)
var b3 = mat3(
0.9659258127212524, 0.258819043636322, 0.0,
-0.258819043636322, 0.9659258127212524, 0.0,
77.64571380615234, 0.0, 1.0
)
when not defined(js):
# TODO: Figure out why we loose soo much precision in js.
doAssert a3 * b3 ~= mat3(
1.0000, 0.0000, 0.0000,
0.0000, 1.0000, 0.0000,
50.0000, 50.0000, 1.0000
)
doAssert a3 * vec2(77.64571380615234, 0) ~= vec2(50.0, 50.0)
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
)
block:
# 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)
doAssert ortho[float32](-1, 1, 1, -1, -1000, 1000) ~= mat4(
1.0, 0.0, 0.0, 0.0,
0.0, -1.0, 0.0, 0.0,
0.0, 0.0, -0.001000000047497451,
0.0, -0.0, 0.0, -0.0, 1.0
)
doAssert perspective[float32](75, 1.666, 1, 1000) ~= mat4(
0.7822480201721191, 0.0, 0.0, 0.0,
0.0, 1.30322527885437, 0.0, 0.0,
0.0, 0.0, -1.002002000808716, -1.0,
0.0, 0.0, -2.002002000808716, 0.0
)
# 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
block:
let mat2d = translate(vec2(10, 20)) * rotate(45.toRadians) * scale(vec2(2))
let mat3d = translate(vec3(10, 20, 0)) * rotateZ(45.toRadians) * scale(vec3(2))
echo "test finished successfully"
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