cexp

cexp

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Calculates the natural exponential of a complex number

 #include <complex.h> double complex cexp ( double complex z  ); float complex cexpf ( float complex z  ); long double complex cexpl ( long double complex z  ); 

The return value of the cexp( ) function is e raised to the power of the function's argument, or e^z, where e is Euler's number, 2.718281.... Furthermore, in complex mathematics, e^zi = cos(z) + sin(z) x i for any complex number z.

The natural exponential function cexp( ) is the inverse of the natural logarithm, clog( ).

Example

 // Demonstrate Euler's theorem in the form // e^(I*z) = cos(z) + I * sin(z) double complex z = 2.2 + 3.3 * I; double complex c, d; c = cexp( z * I ); d = ccos( z ) + csin( z ) * I ; printf( "cexp( z*I ) yields %.2f %+.2f \xD7 I.\n",         creal(c), cimag(c) ); printf( "ccos( z ) + csin( z ) * I yields %.2f %+.2f \xD7 I.\n",         creal(d), cimag(d) ); 

This code produces the following output:

 cexp( z*I ) yields -0.02 +0.03 x I. ccos( z ) + csin( z ) * I yields -0.02 +0.03 x I. 

See Also

ccos( ), csin( ), clog( ), cpow( ), csqrt( )