from math import *

assert(ceil(1.1) == floor(2.9))

## FIXME:
## temproarly modules cannot define globals via native interface
## and it'll be fixed soon.
PI = 3.14159265358979323846

assert(sin(0) == 0)
assert(sin(PI/2) == 1)

threshold = 0.0000000000001

assert(abs(cos(PI/3) - 0.5) < threshold )
assert(abs(tan(PI/4) - 1.0) < threshold )
for i in 0..1000
  assert(abs(sin(i) / cos(i) - tan(i)) < threshold)
end

assert((cosh(.5) - 1.1276259652063807) < threshold)
assert((tanh(0.5) - 1.127625965206) < threshold)
for i in 0..100
  assert(abs(sinh(i) / cosh(i) - tanh(i)) < threshold)
end

assert(abs(acos(PI/4) - 0.5) < 0.35)
assert(abs(atan(PI/4) - 0.5) < 0.2)

assert((acos(0.5) - 1.1276259652063807) < threshold)
assert((atan(0.3) - 1.1276259652063807) < threshold)

x = -1; interval = 1000
for i in 0..interval-1
  x += 2/interval
  assert(abs(sin(asin(x)) - x) < threshold)
  assert(abs(cos(acos(x)) - x) < threshold)
  assert(abs(tan(atan(x)) - x) < threshold)
end

assert(abs(log10(2) - 0.3010299956639812) < threshold)
assert(round(1.4) == 1)
assert(round(1.5) == 2)
assert(round(-1.5) == -2)

## Note that these mathe functions are removed temproarly from the core
## For more information see PR #201
##
##assert(abs(log2(2) - 1) < threshold)
##assert(abs(log2(1) - 0) < threshold)
##assert(abs(log2(5) - 2.321928094887362) < threshold)
##
##assert(abs(hypot(1,1) - 1.414213562373095) < threshold)
##assert(abs(hypot(3,5) - 5.830951894845301) < threshold)
##
##assert(abs(cbrt(27) - 3) < threshold)
##assert(abs(cbrt(9) - 2.080083823051904) < threshold)
##
##assert(abs(gamma(5) - 24) < threshold)
##assert(abs(gamma(2.2) - 1.101802490879713) < threshold)

# If we got here, that means all test were passed.
print('All TESTS PASSED')