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test.t
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test.t
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local ad = terralib.require("ad2")
local cstdio = terralib.includec("stdio.h")
local cmath = terralib.includec("math.h")
local Vector = terralib.require("vector")
local util = terralib.require("util")
local m = terralib.require("mem")
local num = ad.num
local str = &int8
local Array = Vector.fromItems
local numtests = global(int, 0)
local numtestspassed = global(int, 0)
local errthresh = 0.0000001
local terra eqtest(val: double, trueval: double)
numtests = numtests + 1
if cmath.fabs(val - trueval) < errthresh then
numtestspassed = numtestspassed + 1
cstdio.printf("PASSED.\n")
else
cstdio.printf("failed! (got %g, expected %g)\n", val, trueval)
end
end
local terra gradtest(name: str, dep: num, trueval: double, indeps: Vector(num), truegrad: Vector(double))
cstdio.printf("TEST %s\n", name)
dep:grad()
cstdio.printf(" Value: ")
eqtest(dep:val(), trueval)
for i=0,indeps.size do
cstdio.printf(" Derivative %d: ", i)
eqtest(indeps:get(i):adj(), truegrad:get(i))
end
m.destruct(indeps)
m.destruct(truegrad)
end
-------------------------------------------------
local terra testadd()
var x = ad.num(1.0)
var y = ad.num(3.5)
var z = x + y
gradtest("add operator", z, 4.5,
Array(x, y),
Array(1.0, 1.0))
end
testadd()
local terra testsub()
var x = ad.num(1.0)
var y = ad.num(3.5)
var z = x - y
gradtest("sub operator", z, -2.5,
Array(x, y),
Array(1.0, -1.0))
end
testsub()
local terra testmul()
var x = ad.num(2.0)
var y = ad.num(5.0)
var z = x * y
gradtest("mul operator", z, 10.0,
Array(x, y),
Array(1.0*5.0 + 2.0*0.0, 0.0*5.0 + 2.0*1.0))
end
testmul()
local terra testdiv()
var x = ad.num(10.0)
var y = ad.num(2.0)
var z = x / y
gradtest("div operator", z, 5.0,
Array(x, y),
Array((1.0*2.0 - 10.0*0.0)/(2.0*2.0),
(0.0*2.0 - 10.0*1.0)/(2.0*2.0)))
end
testdiv()
local terra testacos()
var x = ad.num(0.5)
var z = ad.math.acos(x)
gradtest("acos function", z, cmath.acos(0.5),
Array(x),
Array(-1.0/cmath.sqrt(1.0-0.5*0.5)))
end
testacos()
local terra testacosh()
var x = ad.num(1.4)
var z = ad.math.acosh(x)
gradtest("acosh function", z, cmath.acosh(1.4),
Array(x),
Array(1.0/cmath.sqrt(1.4*1.4-1.0)))
end
testacosh()
local terra testasin()
var x = ad.num(0.7)
var z = ad.math.asin(x)
gradtest("asin function", z, cmath.asin(0.7),
Array(x),
Array(1.0/cmath.sqrt(1.0-0.7*0.7)))
end
testasin()
local terra testasinh()
var x = ad.num(-0.3)
var z = ad.math.asinh(x)
gradtest("asinh function", z, cmath.asinh(-0.3),
Array(x),
Array(1.0/cmath.sqrt(0.3*0.3+1.0)))
end
testasinh()
local terra testatan()
var x = ad.num(0.22)
var z = ad.math.atan(x)
gradtest("atan function", z, cmath.atan(0.22),
Array(x),
Array(1.0/(1.0+0.22*0.22)))
end
testatan()
-- TODO: Test for atan2 (got lazy; didn't want to do calculus...)
local terra testcos()
var x = ad.num(1.1)
var z = ad.math.cos(x)
gradtest("cos function", z, cmath.cos(1.1),
Array(x),
Array(-cmath.sin(1.1)))
end
testcos()
local terra testcosh()
var x = ad.num(-0.9)
var z = ad.math.cosh(x)
gradtest("cosh function", z, cmath.cosh(-0.9),
Array(x),
Array(cmath.sinh(-0.9)))
end
testcosh()
local terra testexp()
var x = ad.num(0.6)
var z = ad.math.exp(x)
gradtest("exp function", z, cmath.exp(0.6),
Array(x),
Array(cmath.exp(0.6)))
end
testexp()
local terra testfmax1()
var x = ad.num(2.0)
var y = ad.num(5.0)
var z = ad.math.fmax(x, y)
gradtest("fmax function (1)", z, 5.0,
Array(x, y),
Array(0.0, 1.0))
end
testfmax1()
local terra testfmax2()
var x = ad.num(8.0)
var y = ad.num(5.0)
var z = ad.math.fmax(x, y)
gradtest("fmax function (2)", z, 8.0,
Array(x, y),
Array(1.0, 0.0))
end
testfmax2()
local terra testfmax3()
var x = 2.0
var y = ad.num(5.0)
var z = ad.math.fmax(x, y)
gradtest("fmax function (3)", z, 5.0,
Array(y),
Array(1.0))
end
testfmax3()
local terra testfmax4()
var x = 8.0
var y = ad.num(5.0)
var z = ad.math.fmax(x, y)
gradtest("fmax function (4)", z, 8.0,
Array(y),
Array(0.0))
end
testfmax4()
local terra testfmin1()
var x = ad.num(2.0)
var y = ad.num(5.0)
var z = ad.math.fmin(x, y)
gradtest("fmin function (1)", z, 2.0,
Array(x, y),
Array(1.0, 0.0))
end
testfmin1()
local terra testfmin2()
var x = ad.num(8.0)
var y = ad.num(5.0)
var z = ad.math.fmin(x, y)
gradtest("fmin function (2)", z, 5.0,
Array(x, y),
Array(0.0, 1.0))
end
testfmin2()
local terra testfmin3()
var x = 2.0
var y = ad.num(5.0)
var z = ad.math.fmin(x, y)
gradtest("fmin function (3)", z, 2.0,
Array(y),
Array(0.0))
end
testfmin3()
local terra testfmin4()
var x = 8.0
var y = ad.num(5.0)
var z = ad.math.fmin(x, y)
gradtest("fmin function (4)", z, 5.0,
Array(y),
Array(1.0))
end
testfmin4()
local terra testlog()
var x = ad.num(30.24)
var z = ad.math.log(x)
gradtest("log function", z, cmath.log(30.24),
Array(x),
Array(1.0/30.24))
end
testlog()
local terra testlog10()
var x = ad.num(89.11)
var z = ad.math.log10(x)
gradtest("log10 function", z, cmath.log10(89.11),
Array(x),
Array(1.0/(89.11*cmath.log(10))))
end
testlog10()
local terra testpow()
var x = ad.num(2.3)
var y = ad.num(-4.2)
var z = ad.math.pow(x, y)
gradtest("pow function", z, cmath.pow(2.3, -4.2),
Array(x, y),
Array(-4.2*cmath.pow(2.3, -5.2), cmath.pow(2.3, -4.2)*cmath.log(2.3)))
end
testpow()
local terra testsin()
var x = ad.num(1.1)
var z = ad.math.sin(x)
gradtest("sin function", z, cmath.sin(1.1),
Array(x),
Array(cmath.cos(1.1)))
end
testsin()
local terra testsinh()
var x = ad.num(-0.9)
var z = ad.math.sinh(x)
gradtest("sinh function", z, cmath.sinh(-0.9),
Array(x),
Array(cmath.cosh(-0.9)))
end
testsinh()
local terra testsqrt()
var x = ad.num(123.52)
var z = ad.math.sqrt(x)
gradtest("sqrt function", z, cmath.sqrt(123.52),
Array(x),
Array(1.0/(2.0*cmath.sqrt(123.52))))
end
testsqrt()
local terra testtan()
var x = ad.num(1.1)
var z = ad.math.tan(x)
gradtest("tan function", z, cmath.tan(1.1),
Array(x),
Array(1.0 + cmath.tan(1.1)*cmath.tan(1.1)))
end
testtan()
local terra testtanh()
var x = ad.num(-0.9)
var z = ad.math.tanh(x)
gradtest("tanh function", z, cmath.tanh(-0.9),
Array(x),
Array(1.0/(cmath.cosh(-0.9)*cmath.cosh(-0.9))))
end
testtanh()
print()
print(string.format("Passed %d/%d tests.", numtestspassed:get(), numtests:get()))