761 lines
16 KiB
Nim
761 lines
16 KiB
Nim
import random, vmath
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randomize(1234)
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block:
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# Test ~=.
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doAssert 1.0 ~= 1.0
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doAssert 0.0 ~= 0.0
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doAssert -1.0 ~= -1.0
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doAssert not(0.1 ~= 0.2)
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doAssert not(0.01 ~= 0.02)
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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(-1.0) == -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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doAssert quantize(1.23456789, 0.01) ~= 1.23
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doAssert fractional(0.0) ~= 0.0
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doAssert fractional(3.14) ~= 0.14
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doAssert fractional(-3.14) ~= 0.14
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doAssert fractional(1.23456789) ~= 0.23456789
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doAssert fractional(-1.23456789) ~= 0.23456789
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doAssert lerp(0.0, 1.0, 0.5) ~= 0.5
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doAssert lerp(0.0, 10.0, 0.5) ~= 5.0
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doAssert lerp(0.0, 100.0, 0.5) ~= 50.0
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doAssert lerp(-1.0, 1.0, 0.25) ~= -0.5
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doAssert lerp(-10.0, 10.0, 0.25) ~= -5.0
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doAssert lerp(-100.0, 100.0, 0.25) ~= -50.0
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doAssert fixAngle(0.1) ~= 0.1
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doAssert fixAngle(1.1) ~= 1.1
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doAssert fixAngle(2.1) ~= 2.1
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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 fixAngle(-0.1) ~= -0.1
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doAssert fixAngle(-1.1) ~= -1.1
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doAssert fixAngle(-2.1) ~= -2.1
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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(0.0, 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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doAssert angleBetween(0.1 + PI*2, 0.2) ~= 0.1
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doAssert angleBetween(0.1 - PI*2, 0.2) ~= 0.1
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doAssert angleBetween(0.2, 0.1) ~= -0.1
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doAssert angleBetween(0.2, 0.1 - PI*2) ~= -0.1
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doAssert angleBetween(0.2, 0.1 + PI*2) ~= -0.1
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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(0.0, PI, 0.5) ~= 0.5
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doAssert turnAngle(0.5, PI, 3.5) ~= PI
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proc isNaNSlow(f: SomeFloat): bool =
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## Returns true if number is a NaN.
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f.classify notin {fcNormal, fcZero, fcSubnormal}
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assert isNaNSlow(0.3) == false
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assert isNaNSlow(0.0) == false
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assert isNaNSlow(0.3/0.0) == true
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assert isNaNSlow(-0.3/0.0) == true
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assert isNaNSlow(5.0e-324) == false
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assert isNan(float32(0.3)) == false
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assert isNan(float32(0.0)) == false
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assert isNan(float32(0.3/0.0)) == true
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assert isNan(float32(-0.3/0.0)) == true
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assert isNan(float32(5.0e-324)) == false
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assert isNan(float64(0.3)) == false
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assert isNan(float64(0.0)) == false
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assert isNan(float64(0.3/0.0)) == true
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assert isNan(float64(-0.3/0.0)) == true
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assert isNan(float64(5.0e-324)) == false
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block:
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# Test vec2 cast.
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var v = vec2(1.0, 2.0)
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var a = cast[array[2, float32]](v)
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doAssert a[0] ~= 1.0
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doAssert a[1] ~= 2.0
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block:
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# Test position assignment
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var
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v2 = vec2(0)
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v3 = vec3(0)
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v4 = vec4(0)
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v2[0] = 1.0
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v2[1] = 2.0
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doAssert v2 ~= vec2(1, 2)
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v3[0] = 1.0
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v3[1] = 2.0
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v3[2] = 3.0
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doAssert v3 ~= vec3(1, 2, 3)
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v4[0] = 1.0
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v4[1] = 2.0
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v4[2] = 3.0
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v4[3] = 4.0
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doAssert v4 ~= vec4(1, 2, 3, 4)
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block:
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# Test vec2 constructor.
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doAssert vec2(PI, PI) ~= vec2(PI)
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block:
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# Test basic vector vec2.
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var a = vec2(1, 2)
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var b = vec2(7, 6)
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var n = 13.7
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doAssert a + b ~= vec2(8.0, 8.0)
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doAssert a - b ~= vec2(-6.0, -4.0)
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doAssert a * n ~= vec2(13.7, 27.4)
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doAssert a / n ~= vec2(0.0729927, 0.1459854)
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a += b
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doAssert a ~= vec2(8.0, 8.0)
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a -= b
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doAssert a ~= vec2(1.0, 2.0)
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a *= n
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doAssert a ~= vec2(13.7, 27.4)
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a /= n
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doAssert a ~= vec2(1.0, 2.0)
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block:
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# Test basic vector vec3.
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var a = vec3(1, 2, 3)
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var b = vec3(7, 6, 5)
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var n = 13.7
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doAssert a + b ~= vec3(8.0, 8.0, 8.0)
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doAssert a - b ~= vec3(-6.0, -4.0, -2.0)
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doAssert a * n ~= vec3(13.69999981, 27.39999962, 41.09999847)
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doAssert a / n ~= vec3(0.07299270, 0.14598541, 0.21897811)
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a += b
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doAssert a ~= vec3(8.0, 8.0, 8.0)
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a -= b
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doAssert a ~= vec3(1.0, 2.0, 3.0)
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a *= n
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doAssert a ~= vec3(13.69999981, 27.39999962, 41.09999847)
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a /= n
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doAssert a ~= vec3(1.0, 2.0, 3.0)
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block:
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# Test basic vector vec4.
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var a = vec4(1, 2, 3, 4)
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var b = vec4(7, 6, 5, 4)
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var n = 13.7
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doAssert a + b ~= vec4(8.0, 8.0, 8.0, 8.0)
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doAssert a - b ~= vec4(-6.0, -4.0, -2.0, 0.0)
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doAssert a * n ~= vec4(13.69999981, 27.39999962, 41.09999847, 54.79999924)
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doAssert a / n ~= vec4(0.07299270, 0.14598541, 0.21897811, 0.29197082)
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a += b
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doAssert a ~= vec4(8.0, 8.0, 8.0, 8.0)
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a -= b
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doAssert a ~= vec4(1.0, 2.0, 3.0, 4.0)
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a *= n
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doAssert a ~= vec4(13.69999981, 27.39999962, 41.09999847, 54.79999924)
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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)
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_ = bvec3(true)
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_ = bvec4(true)
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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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_ = bvec2()
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_ = bvec3()
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_ = bvec4()
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_ = ivec2()
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_ = ivec3()
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_ = ivec4()
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_ = uvec2()
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_ = uvec3()
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_ = uvec4()
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_ = vec2()
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_ = vec3()
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_ = vec4()
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_ = dvec2()
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_ = dvec3()
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_ = dvec4()
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block:
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# test $ string functions
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doAssert $bvec2(true, false) == "bvec2(true, false)"
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doAssert $bvec3(true, false, true) == "bvec3(true, false, true)"
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doAssert $bvec4(true, false, true, false) == "bvec4(true, false, true, false)"
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doAssert $ivec2(1, 2) == "ivec2(1, 2)"
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doAssert $ivec3(1, 2, 3) == "ivec3(1, 2, 3)"
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doAssert $ivec4(1, 2, 3, 4) == "ivec4(1, 2, 3, 4)"
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doAssert $uvec2(1, 2) == "uvec2(1, 2)"
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doAssert $uvec3(1, 2, 3) == "uvec3(1, 2, 3)"
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doAssert $uvec4(1, 2, 3, 4) == "uvec4(1, 2, 3, 4)"
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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 $dvec2(1.0, 2.0) == "dvec2(1.0, 2.0)"
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doAssert $dvec3(1.0, 2.0, 3.0) == "dvec3(1.0, 2.0, 3.0)"
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doAssert $dvec4(1.0, 2.0, 3.0, 4.0) == "dvec4(1.0, 2.0, 3.0, 4.0)"
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echo vec2(1.0, 2.0)
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echo vec3(1.0, 2.0, 3.0)
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echo vec4(1.0, 2.0, 3.0, 4.0)
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block:
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# Test basic 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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# test $ string functions
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echo mat2(
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1, 0,
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0, 1
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)
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echo 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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echo 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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echo dmat2(
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1, 0,
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0, 1
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)
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echo 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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echo 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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assert $mat2(
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1, 3,
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0, 1
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) == """mat2(
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1.0, 3.0,
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0.0, 1.0
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)"""
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assert $mat3(
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1, 3, 0,
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0, 1, 0,
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0, 3, 1
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) == """mat3(
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1.0, 3.0, 0.0,
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0.0, 1.0, 0.0,
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0.0, 3.0, 1.0
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)"""
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assert $mat4(
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1, 3, 0, 0,
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0, 1, 0, 0,
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0, 3, 1, 0,
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0, 3, 0, 1
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) == """mat4(
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1.0, 3.0, 0.0, 0.0,
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0.0, 1.0, 0.0, 0.0,
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0.0, 3.0, 1.0, 0.0,
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0.0, 3.0, 0.0, 1.0
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)"""
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assert $dmat2(
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1, 0,
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4, 1
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) == """dmat2(
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1.0, 0.0,
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4.0, 1.0
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)"""
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assert $dmat3(
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1, 0, 0,
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4, 1, 0,
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4, 0, 1
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) == """dmat3(
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1.0, 0.0, 0.0,
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4.0, 1.0, 0.0,
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4.0, 0.0, 1.0
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)"""
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assert $dmat4(
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1, 0, 0, 0,
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4, 1, 0, 0,
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4, 0, 1, 0,
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4, 0, 0, 1
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) == """dmat4(
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1.0, 0.0, 0.0, 0.0,
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4.0, 1.0, 0.0, 0.0,
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4.0, 0.0, 1.0, 0.0,
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4.0, 0.0, 0.0, 1.0
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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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var
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d2 = dmat2()
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d3 = dmat3()
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d4 = dmat4()
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d2[0, 0] = 123.123
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d2[1, 1] = 123.123
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d3[0, 0] = 123.123
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d3[1, 1] = 123.123
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d3[2, 2] = 123.123
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d4[0, 0] = 123.123
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d4[1, 1] = 123.123
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d4[2, 2] = 123.123
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d4[3, 3] = 123.123
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block:
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# Test basic mat functions.
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doAssert dmat3().transpose() ~= dmat3(
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1.0, 0.0, 0.0,
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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 to quat test.
|
|
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
|
|
)
|
|
|
|
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) *
|
|
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 * vec2(77.64571380615234, 0) ~= vec2(50.0, 50.0)
|
|
|
|
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"
|