Added tests

Author: anutosh491

integration_tests/CMakeLists.txt

@@ -605,6 +605,7 @@ RUN(NAME symbolics_02        LABELS cpython_sym c_sym)
 RUN(NAME symbolics_03        LABELS cpython_sym c_sym)
 RUN(NAME symbolics_04        LABELS cpython_sym c_sym)
 RUN(NAME symbolics_05        LABELS cpython_sym c_sym)
+RUN(NAME symbolics_06        LABELS cpython_sym c_sym)
 
 RUN(NAME sizeof_01           LABELS llvm c
         EXTRAFILES sizeof_01b.c)

integration_tests/symbolics_06.py

@@ -0,0 +1,37 @@
+from sympy import Symbol, sin, cos, exp, log, Abs, pi, diff
+from lpython import S
+
+def test_elementary_functions():
+
+    # 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))
+
+    # 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)
+
+    # test Abs
+    assert(Abs(S(-10)) == S(10))
+    assert(Abs(S(10)) == S(10))
+    assert(Abs(-x) == Abs(x))
+
+    # 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))))))
+
+test_elementary_functions()