44 lines
895 B
C
44 lines
895 B
C
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/* cpowl.c */
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/*
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Contributed by Danny Smith
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2005-01-04
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*/
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/* cpow(X, Y) = cexp(X * clog(Y)) */
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#include <math.h>
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#include <complex.h>
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long double complex cpowl (long double complex X, long double complex Y)
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{
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long double complex Res;
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long double i;
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long double r = hypotl (__real__ X, __imag__ X);
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if (r == 0.0L)
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{
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__real__ Res = __imag__ Res = 0.0L;
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}
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else
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{
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long double rho;
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long double theta;
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i = cargl (X);
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theta = i * __real__ Y;
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if (__imag__ Y == 0.0L)
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/* This gives slightly more accurate results in these cases. */
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rho = powl (r, __real__ Y);
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else
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{
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r = logl (r);
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/* rearrangement of cexp(X * clog(Y)) */
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theta += r * __imag__ Y;
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rho = expl (r * __real__ Y - i * __imag__ Y);
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}
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__real__ Res = rho * cosl (theta);
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__imag__ Res = rho * sinl (theta);
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}
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return Res;
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}
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