C programming/complex.h/cpow

Prototypes double complex cpow(double complex x, double complex y); float complex cpowf(float complex x, float complex y); long double complex cpowl(long double complex x, long double complex y); Description Cpow is a library function in the C programming language, used to calculate powers in the field of complex numbers It was added to the C programming language, together with complex number support, in the C99 standard. Introduction In mathematics, complex numbers are often denoted by 'z' . z = x + iy In this number 'x' is the real part and 'y' is imaginary part. 'i' is imaginary unit, such that "i2 = -1 ". Complex power is defined by the mathematical operation of exponentiation given by "z1z2" . In C programming language , library function for this is given by Cpow. Header File Standard Library Header file : <complex.h>(complex arithmetic) Syntax for function double complex cpow(double complex x, double complex y); This function calculates the power of real number 'x' raised to y-th power ,where y is a complex number . In mathematics ,by Euler's formula, eia = (cos a +i sin a).Here,cos and sin are trigonometric functions. For xia, xi .a = ei .a ln(x) = ( cos(a ln(x)) + i sin(a ln(x)) ) ; ln : logarithmic function to the base e. Return Value This function shall return the complex power function value. Returns the complex power of base x raised to the y-th power using the principal branch, whose cuts are along the negative real axis. Usage of Cpow function //Program returns the complex number z3 #include<stdio.h> #include<complex.h> #include<math.h> int main() { int x, y, p, q; double complex z1, z2, z3; //complex variables declaration scanf("%d %d %d %d", &x, &y, &p, &q); z1 = (p + q * I); z2 = (x + y * I); z3 = cpow (z2, z1); printf("%f + %f * i\n", creal(z3), cimag(z3)); return 0; } deep