--- /dev/null
+/*
+ * 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"
+
+#include <numeric>
+#include <cmath>
+#include <complex>
+
+#if defined (_STLP_MSVC_LIB) && (_STLP_MSVC_LIB >= 1400)
+// hypot is deprecated.
+# if defined (_STLP_MSVC)
+# pragma warning (disable : 4996)
+# elif defined (__ICL)
+# pragma warning (disable : 1478)
+# endif
+#endif
+
+_STLP_BEGIN_NAMESPACE
+
+// Complex division and square roots.
+
+// Absolute value
+_STLP_TEMPLATE_NULL
+_STLP_DECLSPEC float _STLP_CALL abs(const complex<float>& __z)
+{ return ::hypot(__z._M_re, __z._M_im); }
+_STLP_TEMPLATE_NULL
+_STLP_DECLSPEC double _STLP_CALL abs(const complex<double>& __z)
+{ return ::hypot(__z._M_re, __z._M_im); }
+
+#if !defined (_STLP_NO_LONG_DOUBLE)
+_STLP_TEMPLATE_NULL
+_STLP_DECLSPEC long double _STLP_CALL abs(const complex<long double>& __z)
+{ return ::hypot(__z._M_re, __z._M_im); }
+#endif
+
+// Phase
+
+_STLP_TEMPLATE_NULL
+_STLP_DECLSPEC float _STLP_CALL arg(const complex<float>& __z)
+{ return ::atan2(__z._M_im, __z._M_re); }
+
+_STLP_TEMPLATE_NULL
+_STLP_DECLSPEC double _STLP_CALL arg(const complex<double>& __z)
+{ return ::atan2(__z._M_im, __z._M_re); }
+
+#if !defined (_STLP_NO_LONG_DOUBLE)
+_STLP_TEMPLATE_NULL
+_STLP_DECLSPEC long double _STLP_CALL arg(const complex<long double>& __z)
+{ return ::atan2(__z._M_im, __z._M_re); }
+#endif
+
+// Construct a complex number from polar representation
+_STLP_TEMPLATE_NULL
+_STLP_DECLSPEC complex<float> _STLP_CALL polar(const float& __rho, const float& __phi)
+{ return complex<float>(__rho * ::cos(__phi), __rho * ::sin(__phi)); }
+_STLP_TEMPLATE_NULL
+_STLP_DECLSPEC complex<double> _STLP_CALL polar(const double& __rho, const double& __phi)
+{ return complex<double>(__rho * ::cos(__phi), __rho * ::sin(__phi)); }
+
+#if !defined (_STLP_NO_LONG_DOUBLE)
+_STLP_TEMPLATE_NULL
+_STLP_DECLSPEC complex<long double> _STLP_CALL polar(const long double& __rho, const long double& __phi)
+{ return complex<long double>(__rho * ::cos(__phi), __rho * ::sin(__phi)); }
+#endif
+
+// Division
+template <class _Tp>
+static void _divT(const _Tp& __z1_r, const _Tp& __z1_i,
+ const _Tp& __z2_r, const _Tp& __z2_i,
+ _Tp& __res_r, _Tp& __res_i) {
+ _Tp __ar = __z2_r >= 0 ? __z2_r : -__z2_r;
+ _Tp __ai = __z2_i >= 0 ? __z2_i : -__z2_i;
+
+ if (__ar <= __ai) {
+ _Tp __ratio = __z2_r / __z2_i;
+ _Tp __denom = __z2_i * (1 + __ratio * __ratio);
+ __res_r = (__z1_r * __ratio + __z1_i) / __denom;
+ __res_i = (__z1_i * __ratio - __z1_r) / __denom;
+ }
+ else {
+ _Tp __ratio = __z2_i / __z2_r;
+ _Tp __denom = __z2_r * (1 + __ratio * __ratio);
+ __res_r = (__z1_r + __z1_i * __ratio) / __denom;
+ __res_i = (__z1_i - __z1_r * __ratio) / __denom;
+ }
+}
+
+template <class _Tp>
+static void _divT(const _Tp& __z1_r,
+ const _Tp& __z2_r, const _Tp& __z2_i,
+ _Tp& __res_r, _Tp& __res_i) {
+ _Tp __ar = __z2_r >= 0 ? __z2_r : -__z2_r;
+ _Tp __ai = __z2_i >= 0 ? __z2_i : -__z2_i;
+
+ if (__ar <= __ai) {
+ _Tp __ratio = __z2_r / __z2_i;
+ _Tp __denom = __z2_i * (1 + __ratio * __ratio);
+ __res_r = (__z1_r * __ratio) / __denom;
+ __res_i = - __z1_r / __denom;
+ }
+ else {
+ _Tp __ratio = __z2_i / __z2_r;
+ _Tp __denom = __z2_r * (1 + __ratio * __ratio);
+ __res_r = __z1_r / __denom;
+ __res_i = - (__z1_r * __ratio) / __denom;
+ }
+}
+
+void _STLP_CALL
+complex<float>::_div(const float& __z1_r, const float& __z1_i,
+ const float& __z2_r, const float& __z2_i,
+ float& __res_r, float& __res_i)
+{ _divT(__z1_r, __z1_i, __z2_r, __z2_i, __res_r, __res_i); }
+
+void _STLP_CALL
+complex<float>::_div(const float& __z1_r,
+ const float& __z2_r, const float& __z2_i,
+ float& __res_r, float& __res_i)
+{ _divT(__z1_r, __z2_r, __z2_i, __res_r, __res_i); }
+
+
+void _STLP_CALL
+complex<double>::_div(const double& __z1_r, const double& __z1_i,
+ const double& __z2_r, const double& __z2_i,
+ double& __res_r, double& __res_i)
+{ _divT(__z1_r, __z1_i, __z2_r, __z2_i, __res_r, __res_i); }
+
+void _STLP_CALL
+complex<double>::_div(const double& __z1_r,
+ const double& __z2_r, const double& __z2_i,
+ double& __res_r, double& __res_i)
+{ _divT(__z1_r, __z2_r, __z2_i, __res_r, __res_i); }
+
+#if !defined (_STLP_NO_LONG_DOUBLE)
+void _STLP_CALL
+complex<long double>::_div(const long double& __z1_r, const long double& __z1_i,
+ const long double& __z2_r, const long double& __z2_i,
+ long double& __res_r, long double& __res_i)
+{ _divT(__z1_r, __z1_i, __z2_r, __z2_i, __res_r, __res_i); }
+
+void _STLP_CALL
+complex<long double>::_div(const long double& __z1_r,
+ const long double& __z2_r, const long double& __z2_i,
+ long double& __res_r, long double& __res_i)
+{ _divT(__z1_r, __z2_r, __z2_i, __res_r, __res_i); }
+#endif
+
+//----------------------------------------------------------------------
+// Square root
+template <class _Tp>
+static complex<_Tp> sqrtT(const complex<_Tp>& z) {
+ _Tp re = z._M_re;
+ _Tp im = z._M_im;
+ _Tp mag = ::hypot(re, im);
+ complex<_Tp> result;
+
+ if (mag == 0.f) {
+ result._M_re = result._M_im = 0.f;
+ } else if (re > 0.f) {
+ result._M_re = ::sqrt(0.5f * (mag + re));
+ result._M_im = im/result._M_re/2.f;
+ } else {
+ result._M_im = ::sqrt(0.5f * (mag - re));
+ if (im < 0.f)
+ result._M_im = - result._M_im;
+ result._M_re = im/result._M_im/2.f;
+ }
+ return result;
+}
+
+complex<float> _STLP_CALL
+sqrt(const complex<float>& z) { return sqrtT(z); }
+
+complex<double> _STLP_CALL
+sqrt(const complex<double>& z) { return sqrtT(z); }
+
+#if !defined (_STLP_NO_LONG_DOUBLE)
+complex<long double> _STLP_CALL
+sqrt(const complex<long double>& z) { return sqrtT(z); }
+#endif
+
+// exp, log, pow for complex<float>, complex<double>, and complex<long double>
+//----------------------------------------------------------------------
+// exp
+template <class _Tp>
+static complex<_Tp> expT(const complex<_Tp>& z) {
+ _Tp expx = ::exp(z._M_re);
+ return complex<_Tp>(expx * ::cos(z._M_im),
+ expx * ::sin(z._M_im));
+}
+_STLP_DECLSPEC complex<float> _STLP_CALL exp(const complex<float>& z)
+{ return expT(z); }
+
+_STLP_DECLSPEC complex<double> _STLP_CALL exp(const complex<double>& z)
+{ return expT(z); }
+
+#if !defined (_STLP_NO_LONG_DOUBLE)
+_STLP_DECLSPEC complex<long double> _STLP_CALL exp(const complex<long double>& z)
+{ return expT(z); }
+#endif
+
+//----------------------------------------------------------------------
+// log10
+template <class _Tp>
+static complex<_Tp> log10T(const complex<_Tp>& z, const _Tp& ln10_inv) {
+ complex<_Tp> r;
+
+ r._M_im = ::atan2(z._M_im, z._M_re) * ln10_inv;
+ r._M_re = ::log10(::hypot(z._M_re, z._M_im));
+ return r;
+}
+
+static const float LN10_INVF = 1.f / ::log(10.f);
+_STLP_DECLSPEC complex<float> _STLP_CALL log10(const complex<float>& z)
+{ return log10T(z, LN10_INVF); }
+
+static const double LN10_INV = 1. / ::log10(10.);
+_STLP_DECLSPEC complex<double> _STLP_CALL log10(const complex<double>& z)
+{ return log10T(z, LN10_INV); }
+
+#if !defined (_STLP_NO_LONG_DOUBLE)
+static const long double LN10_INVL = 1.l / ::log(10.l);
+_STLP_DECLSPEC complex<long double> _STLP_CALL log10(const complex<long double>& z)
+{ return log10T(z, LN10_INVL); }
+#endif
+
+//----------------------------------------------------------------------
+// log
+template <class _Tp>
+static complex<_Tp> logT(const complex<_Tp>& z) {
+ complex<_Tp> r;
+
+ r._M_im = ::atan2(z._M_im, z._M_re);
+ r._M_re = ::log(::hypot(z._M_re, z._M_im));
+ return r;
+}
+_STLP_DECLSPEC complex<float> _STLP_CALL log(const complex<float>& z)
+{ return logT(z); }
+
+_STLP_DECLSPEC complex<double> _STLP_CALL log(const complex<double>& z)
+{ return logT(z); }
+
+#ifndef _STLP_NO_LONG_DOUBLE
+_STLP_DECLSPEC complex<long double> _STLP_CALL log(const complex<long double>& z)
+{ return logT(z); }
+# endif
+
+//----------------------------------------------------------------------
+// pow
+template <class _Tp>
+static complex<_Tp> powT(const _Tp& a, const complex<_Tp>& b) {
+ _Tp logr = ::log(a);
+ _Tp x = ::exp(logr * b._M_re);
+ _Tp y = logr * b._M_im;
+
+ return complex<_Tp>(x * ::cos(y), x * ::sin(y));
+}
+
+template <class _Tp>
+static complex<_Tp> powT(const complex<_Tp>& z_in, int n) {
+ complex<_Tp> z = z_in;
+ z = _STLP_PRIV __power(z, (n < 0 ? -n : n), multiplies< complex<_Tp> >());
+ if (n < 0)
+ return _Tp(1.0) / z;
+ else
+ return z;
+}
+
+template <class _Tp>
+static complex<_Tp> powT(const complex<_Tp>& a, const _Tp& b) {
+ _Tp logr = ::log(::hypot(a._M_re,a._M_im));
+ _Tp logi = ::atan2(a._M_im, a._M_re);
+ _Tp x = ::exp(logr * b);
+ _Tp y = logi * b;
+
+ return complex<_Tp>(x * ::cos(y), x * ::sin(y));
+}
+
+template <class _Tp>
+static complex<_Tp> powT(const complex<_Tp>& a, const complex<_Tp>& b) {
+ _Tp logr = ::log(::hypot(a._M_re,a._M_im));
+ _Tp logi = ::atan2(a._M_im, a._M_re);
+ _Tp x = ::exp(logr * b._M_re - logi * b._M_im);
+ _Tp y = logr * b._M_im + logi * b._M_re;
+
+ return complex<_Tp>(x * ::cos(y), x * ::sin(y));
+}
+
+_STLP_DECLSPEC complex<float> _STLP_CALL pow(const float& a, const complex<float>& b)
+{ return powT(a, b); }
+
+_STLP_DECLSPEC complex<float> _STLP_CALL pow(const complex<float>& z_in, int n)
+{ return powT(z_in, n); }
+
+_STLP_DECLSPEC complex<float> _STLP_CALL pow(const complex<float>& a, const float& b)
+{ return powT(a, b); }
+
+_STLP_DECLSPEC complex<float> _STLP_CALL pow(const complex<float>& a, const complex<float>& b)
+{ return powT(a, b); }
+
+_STLP_DECLSPEC complex<double> _STLP_CALL pow(const double& a, const complex<double>& b)
+{ return powT(a, b); }
+
+_STLP_DECLSPEC complex<double> _STLP_CALL pow(const complex<double>& z_in, int n)
+{ return powT(z_in, n); }
+
+_STLP_DECLSPEC complex<double> _STLP_CALL pow(const complex<double>& a, const double& b)
+{ return powT(a, b); }
+
+_STLP_DECLSPEC complex<double> _STLP_CALL pow(const complex<double>& a, const complex<double>& b)
+{ return powT(a, b); }
+
+#if !defined (_STLP_NO_LONG_DOUBLE)
+_STLP_DECLSPEC complex<long double> _STLP_CALL pow(const long double& a,
+ const complex<long double>& b)
+{ return powT(a, b); }
+
+
+_STLP_DECLSPEC complex<long double> _STLP_CALL pow(const complex<long double>& z_in, int n)
+{ return powT(z_in, n); }
+
+_STLP_DECLSPEC complex<long double> _STLP_CALL pow(const complex<long double>& a,
+ const long double& b)
+{ return powT(a, b); }
+
+_STLP_DECLSPEC complex<long double> _STLP_CALL pow(const complex<long double>& a,
+ const complex<long double>& b)
+{ return powT(a, b); }
+#endif
+
+_STLP_END_NAMESPACE
projects / polintos / scott / priv.git / blobdiff