/* * Copyright (c) 1999 * Silicon Graphics Computer Systems, Inc. * * Copyright (c) 1999 * Boris Fomitchev * * This material is provided "as is", with absolutely no warranty expressed * or implied. Any use is at your own risk. * * Permission to use or copy this software for any purpose is hereby granted * without fee, provided the above notices are retained on all copies. * Permission to modify the code and to distribute modified code is granted, * provided the above notices are retained, and a notice that the code was * modified is included with the above copyright notice. * */ # include "stlport_prefix.h" // exp, log, pow for complex, complex, and complex #include #include __STL_BEGIN_NAMESPACE //---------------------------------------------------------------------- // exp __STL_DECLSPEC complex __STL_CALL exp(const complex& z) { float expx = __STL_EXPF(z._M_re); return complex(expx * __STL_COSF(z._M_im), expx * __STL_SINF(z._M_im)); } __STL_DECLSPEC complex __STL_CALL exp(const complex& z) { double expx = __STL_EXP(z._M_re); return complex(expx * __STL_COS(z._M_im), expx * __STL_SIN(z._M_im)); } __STL_DECLSPEC complex __STL_CALL exp(const complex& z) { long double expx = __STL_EXPL(z._M_re); return complex(expx * __STL_COSL(z._M_im), expx * __STL_SINL(z._M_im)); } //---------------------------------------------------------------------- // log10 __STL_DECLSPEC complex __STL_CALL log10(const complex& z) { complex r; static float ln10_inv = 1.f / __STL_LOGF(10.f); r._M_im = __STL_ATAN2F(z._M_im, z._M_re) * ln10_inv; r._M_re = __STL_LOG10F(__STL_HYPOTF(z._M_re, z._M_im)); return r; } __STL_DECLSPEC complex __STL_CALL log10(const complex& z) { complex r; static double ln10_inv = 1. / __STL_LOG(10.); r._M_im = __STL_ATAN2(z._M_im, z._M_re) * ln10_inv; r._M_re = __STL_LOG10(__STL_HYPOT(z._M_re, z._M_im)); return r; } __STL_DECLSPEC complex __STL_CALL log10(const complex& z) { complex result; static long double ln10_inv = 1.l / __STL_LOGL(10.l); result._M_im = __STL_ATAN2L(z._M_im, z._M_re) * ln10_inv; result._M_re = __STL_LOG10L(__STL_HYPOTL(z._M_re, z._M_im)); return result; } //---------------------------------------------------------------------- // log __STL_DECLSPEC complex __STL_CALL log(const complex& z) { complex r; r._M_im = __STL_ATAN2F(z._M_im, z._M_re); r._M_re = __STL_LOGF(__STL_HYPOTF(z._M_re, z._M_im)); return r; } __STL_DECLSPEC complex __STL_CALL log(const complex& z) { complex r; r._M_im = __STL_ATAN2(z._M_im, z._M_re); r._M_re = __STL_LOG(__STL_HYPOT(z._M_re, z._M_im)); return r; } __STL_DECLSPEC complex __STL_CALL log(const complex& z) { complex result; result._M_im = __STL_ATAN2L(z._M_im, z._M_re); result._M_re = __STL_LOGL(__STL_HYPOTL(z._M_re, z._M_im)); return result; } //---------------------------------------------------------------------- // pow __STL_DECLSPEC complex __STL_CALL pow(const float& a, const complex& b) { float logr = __STL_LOGF(a); float x = __STL_EXPF(logr*b._M_re); float y = logr*b._M_im; return complex(x * __STL_COSF(y), x * __STL_SINF(y)); } __STL_DECLSPEC complex __STL_CALL pow(const complex& z_in, int n) { complex z = z_in; z = __power(z, (n < 0 ? -n : n), multiplies< complex >()); if (n < 0) return 1.f / z; else return z; } __STL_DECLSPEC complex __STL_CALL pow(const complex& a, const float& b) { float logr = __STL_LOGF(__STL_HYPOTF(a._M_re,a._M_im)); float logi = __STL_ATAN2F(a._M_im, a._M_re); float x = __STL_EXPF(logr * b); float y = logi * b; return complex(x * __STL_COSF(y), x * __STL_SINF(y)); } __STL_DECLSPEC complex __STL_CALL pow(const complex& a, const complex& b) { float logr = __STL_LOGF(__STL_HYPOTF(a._M_re,a._M_im)); float logi = __STL_ATAN2F(a._M_im, a._M_re); float x = __STL_EXPF(logr*b._M_re - logi*b._M_im); float y = logr*b._M_im + logi*b._M_re; return complex(x * __STL_COSF(y), x * __STL_SINF(y)); } __STL_DECLSPEC complex __STL_CALL pow(const double& a, const complex& b) { double logr = __STL_LOG(a); double x = __STL_EXP(logr*b._M_re); double y = logr*b._M_im; return complex(x * __STL_COS(y), x * __STL_SIN(y)); } __STL_DECLSPEC complex __STL_CALL pow(const complex& z_in, int n) { complex z = z_in; z = __power(z, (n < 0 ? -n : n), multiplies< complex >()); if (n < 0) #if !defined(__SC__) //*TY 04/15/2000 - return 1. / z; #else //*TY 04/15/2000 - added workaround for SCpp compiler return double(1.0) / z; //*TY 04/15/2000 - it incorrectly assign long double attribute to floating point literals #endif //*TY 04/15/2000 - else return z; } __STL_DECLSPEC complex __STL_CALL pow(const complex& a, const double& b) { double logr = __STL_LOG(__STL_HYPOT(a._M_re,a._M_im)); double logi = __STL_ATAN2(a._M_im, a._M_re); double x = __STL_EXP(logr * b); double y = logi * b; return complex(x * __STL_COS(y), x * __STL_SIN(y)); } __STL_DECLSPEC complex __STL_CALL pow(const complex& a, const complex& b) { double logr = __STL_LOG(__STL_HYPOT(a._M_re,a._M_im)); double logi = __STL_ATAN2(a._M_im, a._M_re); double x = __STL_EXP(logr*b._M_re - logi*b._M_im); double y = logr*b._M_im + logi*b._M_re; return complex(x * __STL_COS(y), x * __STL_SIN(y)); } __STL_DECLSPEC complex __STL_CALL pow(const long double& a, const complex& b) { long double logr = __STL_LOGL(a); long double x = __STL_EXPL(logr*b._M_re); long double y = logr*b._M_im; return complex(x * __STL_COSL(y), x * __STL_SINL(y)); } __STL_DECLSPEC complex __STL_CALL pow(const complex& z_in, int n) { complex z = z_in; z = __power(z, (n < 0 ? -n : n), multiplies< complex >()); if (n < 0) return 1.l / z; else return z; } __STL_DECLSPEC complex __STL_CALL pow(const complex& a, const long double& b) { long double logr = __STL_LOGL(__STL_HYPOTL(a._M_re,a._M_im)); long double logi = __STL_ATAN2L(a._M_im, a._M_re); long double x = __STL_EXPL(logr * b); long double y = logi * b; return complex(x * __STL_COSL(y), x * __STL_SINL(y)); } __STL_DECLSPEC complex __STL_CALL pow(const complex& a, const complex& b) { long double logr = __STL_LOGL(__STL_HYPOTL(a._M_re,a._M_im)); long double logi = __STL_ATAN2L(a._M_im, a._M_re); long double x = __STL_EXPL(logr*b._M_re - logi*b._M_im); long double y = logr*b._M_im + logi*b._M_re; return complex(x * __STL_COSL(y), x * __STL_SINL(y)); } __STL_END_NAMESPACE