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Merge pull request #2094 from anutosh491/GSoC_PR6
Added support for symbolic elementary functions
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from sympy import Symbol, sin, cos, exp, log, Abs, pi, diff | ||
from lpython import S | ||
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def test_elementary_functions(): | ||
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# test sin, cos | ||
x: S = Symbol('x') | ||
assert(sin(pi) == S(0)) | ||
assert(sin(pi/S(2)) == S(1)) | ||
assert(sin(S(2)*pi) == S(0)) | ||
assert(cos(pi) == S(-1)) | ||
assert(cos(pi/S(2)) == S(0)) | ||
assert(cos(S(2)*pi) == S(1)) | ||
assert(diff(sin(x), x) == cos(x)) | ||
assert(diff(cos(x), x) == S(-1)*sin(x)) | ||
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# test exp, log | ||
assert(exp(S(0)) == S(1)) | ||
assert(log(S(1)) == S(0)) | ||
assert(diff(exp(x), x) == exp(x)) | ||
assert(diff(log(x), x) == S(1)/x) | ||
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# test Abs | ||
assert(Abs(S(-10)) == S(10)) | ||
assert(Abs(S(10)) == S(10)) | ||
assert(Abs(S(-1)*x) == Abs(x)) | ||
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# test composite functions | ||
a: S = exp(x) | ||
b: S = sin(a) | ||
c: S = cos(b) | ||
d: S = log(c) | ||
e: S = Abs(d) | ||
print(e) | ||
assert(e == Abs(log(cos(sin(exp(x)))))) | ||
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test_elementary_functions() |
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