/* evaluate complex polynomial */
#include "proj.h"
#include "proj_internal.h"
/* note: coefficients are always from C_1 to C_n
**	i.e. C_0 == (0., 0)
**	n should always be >= 1 though no checks are made
*/
COMPLEX
pj_zpoly1(COMPLEX z, const COMPLEX *C, int n) {
    COMPLEX a;
    double t;

    a = *(C += n);
    while (n-- > 0) {
        a.r = (--C)->r + z.r * (t = a.r) - z.i * a.i;
        a.i = C->i + z.r * a.i + z.i * t;
    }
    a.r = z.r * (t = a.r) - z.i * a.i;
    a.i = z.r * a.i + z.i * t;
    return a;
}
/* evaluate complex polynomial and derivative */
COMPLEX
pj_zpolyd1(COMPLEX z, const COMPLEX *C, int n, COMPLEX *der) {
    COMPLEX a, b;
    double t;
    int first = 1;

    a = *(C += n);
    b = a;
    while (n-- > 0) {
        if (first) {
            first = 0;
        } else {
            b.r = a.r + z.r * (t = b.r) - z.i * b.i;
            b.i = a.i + z.r * b.i + z.i * t;
        }
        a.r = (--C)->r + z.r * (t = a.r) - z.i * a.i;
        a.i = C->i + z.r * a.i + z.i * t;
    }
    b.r = a.r + z.r * (t = b.r) - z.i * b.i;
    b.i = a.i + z.r * b.i + z.i * t;
    a.r = z.r * (t = a.r) - z.i * a.i;
    a.i = z.r * a.i + z.i * t;
    *der = b;
    return a;
}