Add cmath polar functions

integration_tests/test_cmath.py

@@ -1,6 +1,7 @@
 from cmath import (exp, log, sqrt, acos, asin, atan, cos, sin, tan,
-                   acosh, asinh, atanh, cosh, sinh, tanh)
-from lpython import c64, c32
+                   acosh, asinh, atanh, cosh, sinh, tanh,
+                   phase, polar, rect)
+from lpython import c64, c32, f64
 
 def test_power_logarithmic():
     x: c64
@@ -59,6 +60,17 @@ def test_hyperbolic():
     b = tanh(a)
 
 
+def test_polar():
+    x: c64
+    eps: f64
+    eps = 1e-12
+    x = complex(1, -2)
+    assert f64(abs(f64(phase(x)) - (-1.1071487177940904))) < eps
+    assert f64(abs(f64(polar(x)[0]) - (2.23606797749979))) < eps
+    assert abs(abs(rect(2.23606797749979, -1.1071487177940904))-abs(x)) < eps
+
+
 test_power_logarithmic()
 test_trigonometric()
 test_hyperbolic()
+test_polar()

src/libasr/runtime/lfortran_intrinsics.c

@@ -653,6 +653,17 @@ LFORTRAN_API double_complex_t _lfortran_zatanh(double_complex_t x)
     return catanh(x);
 }
 
+// phase --------------------------------------------------------------------
+
+LFORTRAN_API float _lfortran_cphase(float_complex_t x)
+{
+    return atan2f(cimagf(x), crealf(x));
+}
+
+LFORTRAN_API double _lfortran_zphase(double_complex_t x)
+{
+    return atan2(cimag(x), creal(x));
+}
 
 // strcat  --------------------------------------------------------------------
 

src/libasr/runtime/lfortran_intrinsics.h

@@ -137,6 +137,8 @@ LFORTRAN_API float _lfortran_satanh(float x);
 LFORTRAN_API double _lfortran_datanh(double x);
 LFORTRAN_API float_complex_t _lfortran_catanh(float_complex_t x);
 LFORTRAN_API double_complex_t _lfortran_zatanh(double_complex_t x);
+LFORTRAN_API float _lfortran_cphase(float_complex_t x);
+LFORTRAN_API double _lfortran_zphase(double_complex_t x);
 LFORTRAN_API bool _lpython_str_compare_eq(char** s1, char** s2);
 LFORTRAN_API bool _lpython_str_compare_noteq(char** s1, char** s2);
 LFORTRAN_API bool _lpython_str_compare_gt(char** s1, char** s2);

src/runtime/cmath.py

@@ -1,4 +1,4 @@
-from lpython import c64, ccall, f64, overload, c32
+from lpython import c64, ccall, f64, overload, c32, f32
 
 pi: f64 = 3.141592653589793238462643383279502884197
 e: f64 = 2.718281828459045235360287471352662497757
@@ -250,3 +250,40 @@ def tanh(x: c64) -> c64:
 @overload
 def tanh(x: c32) -> c32:
     return _lfortran_ctanh(x)
+
+
+@ccall
+def _lfortran_zphase(x: c64) -> f64:
+    pass
+
+@ccall
+def _lfortran_cphase(x: c32) -> f32:
+    pass
+
+@overload
+def phase(x: c64) -> f64:
+    return _lfortran_zphase(x)
+
+@overload
+def phase(x: c32) -> f32:
+    return _lfortran_cphase(x)
+
+
+@overload
+def polar(x: c32) -> tuple[f32, f32]:
+    return (abs(x), phase(x))
+
+@overload
+def polar(x: c64) -> tuple[f64, f64]:
+    return (abs(x), phase(x))
+
+@ccall
+def _lfortran_dcos(x: f64) -> f64:
+    pass
+
+@ccall
+def _lfortran_dsin(x: f64) -> f64:
+    pass
+
+def rect(r: f64, phi: f64) -> c64:
+    return c64(complex(r*_lfortran_dcos(phi), r*_lfortran_dsin(phi)))