/* Prototype declarations for complex math functions;
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/* Prototype declarations for complex math functions;
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helper file for <complex.h>.
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helper file for <complex.h>.
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Copyright (C) 1997, 1998, 2001 Free Software Foundation, Inc.
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Copyright (C) 1997, 1998, 2001 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, write to the Free
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License along with the GNU C Library; if not, write to the Free
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Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
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Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
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02111-1307 USA. */
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02111-1307 USA. */
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/* NOTE: Because of the special way this file is used by <complex.h>, this
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/* NOTE: Because of the special way this file is used by <complex.h>, this
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file must NOT be protected from multiple inclusion as header files
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file must NOT be protected from multiple inclusion as header files
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usually are.
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usually are.
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This file provides prototype declarations for the math functions.
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This file provides prototype declarations for the math functions.
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Most functions are declared using the macro:
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Most functions are declared using the macro:
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__MATHCALL (NAME, (ARGS...));
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__MATHCALL (NAME, (ARGS...));
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This means there is a function `NAME' returning `double' and a function
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This means there is a function `NAME' returning `double' and a function
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`NAMEf' returning `float'. Each place `_Mdouble_' appears in the
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`NAMEf' returning `float'. Each place `_Mdouble_' appears in the
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prototype, that is actually `double' in the prototype for `NAME' and
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prototype, that is actually `double' in the prototype for `NAME' and
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`float' in the prototype for `NAMEf'. Reentrant variant functions are
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`float' in the prototype for `NAMEf'. Reentrant variant functions are
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called `NAME_r' and `NAMEf_r'.
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called `NAME_r' and `NAMEf_r'.
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Functions returning other types like `int' are declared using the macro:
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Functions returning other types like `int' are declared using the macro:
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__MATHDECL (TYPE, NAME, (ARGS...));
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__MATHDECL (TYPE, NAME, (ARGS...));
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This is just like __MATHCALL but for a function returning `TYPE'
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This is just like __MATHCALL but for a function returning `TYPE'
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instead of `_Mdouble_'. In all of these cases, there is still
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instead of `_Mdouble_'. In all of these cases, there is still
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both a `NAME' and a `NAMEf' that takes `float' arguments. */
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both a `NAME' and a `NAMEf' that takes `float' arguments. */
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#ifndef _COMPLEX_H
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#ifndef _COMPLEX_H
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#error "Never use <bits/cmathcalls.h> directly; include <complex.h> instead."
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#error "Never use <bits/cmathcalls.h> directly; include <complex.h> instead."
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#endif
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#endif
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#define _Mdouble_complex_ _Mdouble_ _Complex
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#define _Mdouble_complex_ _Mdouble_ _Complex
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/* Trigonometric functions. */
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/* Trigonometric functions. */
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/* Arc cosine of Z. */
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/* Arc cosine of Z. */
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__MATHCALL (cacos, (_Mdouble_complex_ __z));
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__MATHCALL (cacos, (_Mdouble_complex_ __z));
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/* Arc sine of Z. */
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/* Arc sine of Z. */
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__MATHCALL (casin, (_Mdouble_complex_ __z));
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__MATHCALL (casin, (_Mdouble_complex_ __z));
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/* Arc tangent of Z. */
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/* Arc tangent of Z. */
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__MATHCALL (catan, (_Mdouble_complex_ __z));
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__MATHCALL (catan, (_Mdouble_complex_ __z));
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/* Cosine of Z. */
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/* Cosine of Z. */
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__MATHCALL (ccos, (_Mdouble_complex_ __z));
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__MATHCALL (ccos, (_Mdouble_complex_ __z));
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/* Sine of Z. */
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/* Sine of Z. */
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__MATHCALL (csin, (_Mdouble_complex_ __z));
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__MATHCALL (csin, (_Mdouble_complex_ __z));
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/* Tangent of Z. */
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/* Tangent of Z. */
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__MATHCALL (ctan, (_Mdouble_complex_ __z));
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__MATHCALL (ctan, (_Mdouble_complex_ __z));
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/* Hyperbolic functions. */
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/* Hyperbolic functions. */
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/* Hyperbolic arc cosine of Z. */
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/* Hyperbolic arc cosine of Z. */
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__MATHCALL (cacosh, (_Mdouble_complex_ __z));
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__MATHCALL (cacosh, (_Mdouble_complex_ __z));
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/* Hyperbolic arc sine of Z. */
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/* Hyperbolic arc sine of Z. */
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__MATHCALL (casinh, (_Mdouble_complex_ __z));
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__MATHCALL (casinh, (_Mdouble_complex_ __z));
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/* Hyperbolic arc tangent of Z. */
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/* Hyperbolic arc tangent of Z. */
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__MATHCALL (catanh, (_Mdouble_complex_ __z));
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__MATHCALL (catanh, (_Mdouble_complex_ __z));
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/* Hyperbolic cosine of Z. */
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/* Hyperbolic cosine of Z. */
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__MATHCALL (ccosh, (_Mdouble_complex_ __z));
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__MATHCALL (ccosh, (_Mdouble_complex_ __z));
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/* Hyperbolic sine of Z. */
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/* Hyperbolic sine of Z. */
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__MATHCALL (csinh, (_Mdouble_complex_ __z));
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__MATHCALL (csinh, (_Mdouble_complex_ __z));
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/* Hyperbolic tangent of Z. */
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/* Hyperbolic tangent of Z. */
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__MATHCALL (ctanh, (_Mdouble_complex_ __z));
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__MATHCALL (ctanh, (_Mdouble_complex_ __z));
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/* Exponential and logarithmic functions. */
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/* Exponential and logarithmic functions. */
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/* Exponential function of Z. */
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/* Exponential function of Z. */
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__MATHCALL (cexp, (_Mdouble_complex_ __z));
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__MATHCALL (cexp, (_Mdouble_complex_ __z));
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/* Natural logarithm of Z. */
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/* Natural logarithm of Z. */
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__MATHCALL (clog, (_Mdouble_complex_ __z));
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__MATHCALL (clog, (_Mdouble_complex_ __z));
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#ifdef __USE_GNU
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#ifdef __USE_GNU
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/* The base 10 logarithm is not defined by the standard but to implement
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/* The base 10 logarithm is not defined by the standard but to implement
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the standard C++ library it is handy. */
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the standard C++ library it is handy. */
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__MATHCALL (clog10, (_Mdouble_complex_ __z));
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__MATHCALL (clog10, (_Mdouble_complex_ __z));
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#endif
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#endif
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/* Power functions. */
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/* Power functions. */
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/* Return X to the Y power. */
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/* Return X to the Y power. */
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__MATHCALL (cpow, (_Mdouble_complex_ __x, _Mdouble_complex_ __y));
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__MATHCALL (cpow, (_Mdouble_complex_ __x, _Mdouble_complex_ __y));
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/* Return the square root of Z. */
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/* Return the square root of Z. */
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__MATHCALL (csqrt, (_Mdouble_complex_ __z));
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__MATHCALL (csqrt, (_Mdouble_complex_ __z));
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/* Absolute value, conjugates, and projection. */
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/* Absolute value, conjugates, and projection. */
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/* Absolute value of Z. */
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/* Absolute value of Z. */
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__MATHDECL (_Mdouble_,cabs, (_Mdouble_complex_ __z));
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__MATHDECL (_Mdouble_,cabs, (_Mdouble_complex_ __z));
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/* Argument value of Z. */
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/* Argument value of Z. */
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__MATHDECL (_Mdouble_,carg, (_Mdouble_complex_ __z));
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__MATHDECL (_Mdouble_,carg, (_Mdouble_complex_ __z));
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/* Complex conjugate of Z. */
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/* Complex conjugate of Z. */
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__MATHCALL (conj, (_Mdouble_complex_ __z));
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__MATHCALL (conj, (_Mdouble_complex_ __z));
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/* Projection of Z onto the Riemann sphere. */
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/* Projection of Z onto the Riemann sphere. */
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__MATHCALL (cproj, (_Mdouble_complex_ __z));
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__MATHCALL (cproj, (_Mdouble_complex_ __z));
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/* Decomposing complex values. */
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/* Decomposing complex values. */
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/* Imaginary part of Z. */
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/* Imaginary part of Z. */
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__MATHDECL (_Mdouble_,cimag, (_Mdouble_complex_ __z));
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__MATHDECL (_Mdouble_,cimag, (_Mdouble_complex_ __z));
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/* Real part of Z. */
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/* Real part of Z. */
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__MATHDECL (_Mdouble_,creal, (_Mdouble_complex_ __z));
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__MATHDECL (_Mdouble_,creal, (_Mdouble_complex_ __z));
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/* Now some optimized versions. GCC has handy notations for these
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/* Now some optimized versions. GCC has handy notations for these
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functions. Recent GCC handles these as builtin functions so does
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functions. Recent GCC handles these as builtin functions so does
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not need inlines. */
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not need inlines. */
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#if defined __GNUC__ && !__GNUC_PREREQ (2, 97) && defined __OPTIMIZE__
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#if defined __GNUC__ && !__GNUC_PREREQ (2, 97) && defined __OPTIMIZE__
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/* Imaginary part of Z. */
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/* Imaginary part of Z. */
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extern __inline _Mdouble_
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extern __inline _Mdouble_
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__MATH_PRECNAME(cimag) (_Mdouble_complex_ __z) __THROW
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__MATH_PRECNAME(cimag) (_Mdouble_complex_ __z) __THROW
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{
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{
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return __imag__ __z;
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return __imag__ __z;
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}
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}
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/* Real part of Z. */
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/* Real part of Z. */
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extern __inline _Mdouble_
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extern __inline _Mdouble_
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__MATH_PRECNAME(creal) (_Mdouble_complex_ __z) __THROW
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__MATH_PRECNAME(creal) (_Mdouble_complex_ __z) __THROW
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{
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{
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return __real__ __z;
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return __real__ __z;
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}
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}
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/* Complex conjugate of Z. */
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/* Complex conjugate of Z. */
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extern __inline _Mdouble_complex_
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extern __inline _Mdouble_complex_
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__MATH_PRECNAME(conj) (_Mdouble_complex_ __z) __THROW
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__MATH_PRECNAME(conj) (_Mdouble_complex_ __z) __THROW
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{
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{
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return __extension__ ~__z;
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return __extension__ ~__z;
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}
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}
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#endif
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#endif
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