5e9d98a3d9
TS 18661-1 defines totalorder functions implementing the totalOrder comparison operation from IEEE 754-2008. This patch implements these functions for glibc, including the type-generic macro in <tgmath.h>. (The totalordermag functions will be added in a separate patch.) The description of the totalOrder operation is complicated. However, for IEEE interchange binary formats and the preferred quiet NaN convention, what that complicated description means is that you interpret the representation as a sign-magnitude integer (with -0 coming before +0) and do a <= comparison on that interpretation. For finite values and infinities the ordering of the sign-magnitude integers is just the same as the ordering of floating-point values, so this extends that to all representations. (Different representations of the same floating-point value - which includes same quantum in the decimal case - must still be considered equal by this operation, but that issue doesn't arise for IEEE interchange binary formats.) So the complications are: * When MIPS quiet NaN conventions are in use, the representation of NaNs needs adjusting before making such an integer comparison. This patch does this adjustment only when both arguments are NaNs, as there's no need for it if only one is a NaN, and as long as both are NaNs you can just flip the relevant bits without any problems from this turning a NaN into an infinity. * For the m68k version of ldbl-96, where the high mantissa bit is "don't care" for infinities and NaNs, representations where it differs must compare the same. Note: although the testcase for this compiles, I have not actually tested on m68k. * For ldbl-128ibm, the low part must be ignored when the high part is NaN, and low parts of +0 and -0 must be considered the same whatever the high part. The new tests in libm-test.inc are the first tests there specifying particular payloads for input NaNs. Separate tests are also added for the ldbl-96 and ldbl-128ibm special cases where there are different representations of the same value that must compare equal (which can't be covered in libm-test.inc as that only specifies values, not representations). Tested for x86_64, x86, mips64 and powerpc. * math/bits/mathcalls.h [__GLIBC_USE (IEC_60559_BFP_EXT)] (totalorder): New declaration. * math/tgmath.h [__GLIBC_USE (IEC_60559_BFP_EXT)] (totalorder): New macro. * math/Versions (totalorder): New libm symbol at version GLIBC_2.25. (totalorderf): Likewise. (totalorderl): Likewise. * math/Makefile (libm-calls): Add s_totalorderF. * math/gen-libm-test.pl (parse_args): Escape quotes in test name string. * math/libm-test.inc (PAYLOAD_DIG): New macro. (qnan_value_pl): Likewise. (snan_value_pl): Likewise. (qnan_value): Define using qnan_value_pl. (snan_value): Define using snan_value_pl. (struct test_ff_i_data): Add comment about which tests use this structure. (RUN_TEST_ff_b): New macro. (RUN_TEST_LOOP_ff_b): Likewise. (totalorder_test_data): New array. (totalorder_test): New function. (main): Call totalorder_test. * math/test-tgmath.c (NCALLS): Increase to 122. (F(compile_test)): Call totalorder. (F(totalorder)): New function. * manual/arith.texi (FP Comparison Functions): Document totalorder, totalorderf and totalorderl. * manual/libm-err-tab.pl: Update comment on interfaces without ulps tabulated. * sysdeps/ieee754/dbl-64/s_totalorder.c: New file. * sysdeps/ieee754/dbl-64/wordsize-64/s_totalorder.c: Likewise. * sysdeps/ieee754/flt-32/s_totalorderf.c: Likewise. * sysdeps/ieee754/ldbl-128/s_totalorderl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_totalorderl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_totalorderl.c: Likewise. * sysdeps/ieee754/ldbl-opt/nldbl-totalorder.c: Likewise. * sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Add totalorder. (CFLAGS-nldbl-totalorder.c): New variable. * sysdeps/ieee754/ldbl-128ibm/test-totalorderl-ldbl-128ibm.c: New file. * sysdeps/ieee754/ldbl-128ibm/Makefile [$(subdir) = math] (tests): Add test-totalorderl-ldbl-128ibm. * sysdeps/ieee754/ldbl-96/test-totalorderl-ldbl-96.c: New file. * sysdeps/ieee754/ldbl-96/Makefile [$(subdir) = math] (tests): Add test-totalorderl-ldbl-96. * sysdeps/nacl/libm.abilist: Update. * sysdeps/unix/sysv/linux/aarch64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/alpha/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/arm/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/hppa/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/i386/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/microblaze/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/nios2/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sh/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.
401 lines
12 KiB
C
401 lines
12 KiB
C
/* Prototype declarations for math functions; helper file for <math.h>.
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Copyright (C) 1996-2016 Free Software Foundation, Inc.
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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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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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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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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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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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License along with the GNU C Library; if not, see
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<http://www.gnu.org/licenses/>. */
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/* NOTE: Because of the special way this file is used by <math.h>, this
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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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This file provides prototype declarations for the math functions.
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Most functions are declared using the macro:
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__MATHCALL (NAME,[_r], (ARGS...));
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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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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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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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__MATHDECL (TYPE, NAME,[_r], (ARGS...));
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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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both a `NAME' and a `NAMEf' that takes `float' arguments.
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Note that there must be no whitespace before the argument passed for
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NAME, to make token pasting work with -traditional. */
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#ifndef _MATH_H
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# error "Never include <bits/mathcalls.h> directly; include <math.h> instead."
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#endif
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/* Trigonometric functions. */
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_Mdouble_BEGIN_NAMESPACE
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/* Arc cosine of X. */
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__MATHCALL (acos,, (_Mdouble_ __x));
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/* Arc sine of X. */
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__MATHCALL (asin,, (_Mdouble_ __x));
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/* Arc tangent of X. */
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__MATHCALL (atan,, (_Mdouble_ __x));
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/* Arc tangent of Y/X. */
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__MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));
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/* Cosine of X. */
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__MATHCALL_VEC (cos,, (_Mdouble_ __x));
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/* Sine of X. */
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__MATHCALL_VEC (sin,, (_Mdouble_ __x));
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/* Tangent of X. */
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__MATHCALL (tan,, (_Mdouble_ __x));
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/* Hyperbolic functions. */
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/* Hyperbolic cosine of X. */
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__MATHCALL (cosh,, (_Mdouble_ __x));
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/* Hyperbolic sine of X. */
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__MATHCALL (sinh,, (_Mdouble_ __x));
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/* Hyperbolic tangent of X. */
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__MATHCALL (tanh,, (_Mdouble_ __x));
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_Mdouble_END_NAMESPACE
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#ifdef __USE_GNU
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/* Cosine and sine of X. */
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__MATHDECL_VEC (void,sincos,,
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(_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx));
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#endif
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#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
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__BEGIN_NAMESPACE_C99
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/* Hyperbolic arc cosine of X. */
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__MATHCALL (acosh,, (_Mdouble_ __x));
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/* Hyperbolic arc sine of X. */
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__MATHCALL (asinh,, (_Mdouble_ __x));
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/* Hyperbolic arc tangent of X. */
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__MATHCALL (atanh,, (_Mdouble_ __x));
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__END_NAMESPACE_C99
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#endif
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/* Exponential and logarithmic functions. */
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_Mdouble_BEGIN_NAMESPACE
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/* Exponential function of X. */
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__MATHCALL_VEC (exp,, (_Mdouble_ __x));
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/* Break VALUE into a normalized fraction and an integral power of 2. */
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__MATHCALL (frexp,, (_Mdouble_ __x, int *__exponent));
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/* X times (two to the EXP power). */
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__MATHCALL (ldexp,, (_Mdouble_ __x, int __exponent));
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/* Natural logarithm of X. */
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__MATHCALL_VEC (log,, (_Mdouble_ __x));
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/* Base-ten logarithm of X. */
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__MATHCALL (log10,, (_Mdouble_ __x));
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/* Break VALUE into integral and fractional parts. */
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__MATHCALL (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr)) __nonnull ((2));
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_Mdouble_END_NAMESPACE
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#if __GLIBC_USE (IEC_60559_FUNCS_EXT)
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/* Compute exponent to base ten. */
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__MATHCALL (exp10,, (_Mdouble_ __x));
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#endif
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#ifdef __USE_GNU
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/* Another name occasionally used. */
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__MATHCALL (pow10,, (_Mdouble_ __x));
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#endif
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#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
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__BEGIN_NAMESPACE_C99
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/* Return exp(X) - 1. */
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__MATHCALL (expm1,, (_Mdouble_ __x));
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/* Return log(1 + X). */
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__MATHCALL (log1p,, (_Mdouble_ __x));
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/* Return the base 2 signed integral exponent of X. */
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__MATHCALL (logb,, (_Mdouble_ __x));
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__END_NAMESPACE_C99
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#endif
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#ifdef __USE_ISOC99
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__BEGIN_NAMESPACE_C99
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/* Compute base-2 exponential of X. */
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__MATHCALL (exp2,, (_Mdouble_ __x));
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/* Compute base-2 logarithm of X. */
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__MATHCALL (log2,, (_Mdouble_ __x));
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__END_NAMESPACE_C99
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#endif
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/* Power functions. */
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_Mdouble_BEGIN_NAMESPACE
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/* Return X to the Y power. */
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__MATHCALL_VEC (pow,, (_Mdouble_ __x, _Mdouble_ __y));
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/* Return the square root of X. */
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__MATHCALL (sqrt,, (_Mdouble_ __x));
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_Mdouble_END_NAMESPACE
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#if defined __USE_XOPEN || defined __USE_ISOC99
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__BEGIN_NAMESPACE_C99
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/* Return `sqrt(X*X + Y*Y)'. */
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__MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));
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__END_NAMESPACE_C99
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#endif
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#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
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__BEGIN_NAMESPACE_C99
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/* Return the cube root of X. */
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__MATHCALL (cbrt,, (_Mdouble_ __x));
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__END_NAMESPACE_C99
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#endif
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/* Nearest integer, absolute value, and remainder functions. */
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_Mdouble_BEGIN_NAMESPACE
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/* Smallest integral value not less than X. */
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__MATHCALLX (ceil,, (_Mdouble_ __x), (__const__));
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/* Absolute value of X. */
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__MATHCALLX (fabs,, (_Mdouble_ __x), (__const__));
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/* Largest integer not greater than X. */
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__MATHCALLX (floor,, (_Mdouble_ __x), (__const__));
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/* Floating-point modulo remainder of X/Y. */
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__MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y));
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/* Return 0 if VALUE is finite or NaN, +1 if it
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is +Infinity, -1 if it is -Infinity. */
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__MATHDECL_1 (int,__isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
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/* Return nonzero if VALUE is finite and not NaN. */
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__MATHDECL_1 (int,__finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
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_Mdouble_END_NAMESPACE
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#ifdef __USE_MISC
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# if (!defined __cplusplus \
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|| __cplusplus < 201103L /* isinf conflicts with C++11. */ \
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|| __MATH_DECLARING_DOUBLE == 0) /* isinff or isinfl don't. */
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/* Return 0 if VALUE is finite or NaN, +1 if it
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is +Infinity, -1 if it is -Infinity. */
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__MATHDECL_1 (int,isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
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# endif
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/* Return nonzero if VALUE is finite and not NaN. */
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__MATHDECL_1 (int,finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
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/* Return the remainder of X/Y. */
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__MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y));
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/* Return the fractional part of X after dividing out `ilogb (X)'. */
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__MATHCALL (significand,, (_Mdouble_ __x));
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#endif /* Use misc. */
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#ifdef __USE_ISOC99
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__BEGIN_NAMESPACE_C99
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/* Return X with its signed changed to Y's. */
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__MATHCALLX (copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
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__END_NAMESPACE_C99
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#endif
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#ifdef __USE_ISOC99
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__BEGIN_NAMESPACE_C99
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/* Return representation of qNaN for double type. */
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__MATHCALLX (nan,, (const char *__tagb), (__const__));
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__END_NAMESPACE_C99
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#endif
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/* Return nonzero if VALUE is not a number. */
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__MATHDECL_1 (int,__isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
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#if defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K)
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# if (!defined __cplusplus \
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|| __cplusplus < 201103L /* isnan conflicts with C++11. */ \
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|| __MATH_DECLARING_DOUBLE == 0) /* isnanf or isnanl don't. */
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/* Return nonzero if VALUE is not a number. */
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__MATHDECL_1 (int,isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
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# endif
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#endif
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#if defined __USE_MISC || (defined __USE_XOPEN && __MATH_DECLARING_DOUBLE)
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/* Bessel functions. */
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__MATHCALL (j0,, (_Mdouble_));
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__MATHCALL (j1,, (_Mdouble_));
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__MATHCALL (jn,, (int, _Mdouble_));
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__MATHCALL (y0,, (_Mdouble_));
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__MATHCALL (y1,, (_Mdouble_));
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__MATHCALL (yn,, (int, _Mdouble_));
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#endif
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#if defined __USE_XOPEN || defined __USE_ISOC99
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__BEGIN_NAMESPACE_C99
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/* Error and gamma functions. */
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__MATHCALL (erf,, (_Mdouble_));
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__MATHCALL (erfc,, (_Mdouble_));
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__MATHCALL (lgamma,, (_Mdouble_));
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__END_NAMESPACE_C99
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#endif
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#ifdef __USE_ISOC99
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__BEGIN_NAMESPACE_C99
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/* True gamma function. */
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__MATHCALL (tgamma,, (_Mdouble_));
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__END_NAMESPACE_C99
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#endif
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#if defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K)
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/* Obsolete alias for `lgamma'. */
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__MATHCALL (gamma,, (_Mdouble_));
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#endif
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#ifdef __USE_MISC
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/* Reentrant version of lgamma. This function uses the global variable
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`signgam'. The reentrant version instead takes a pointer and stores
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the value through it. */
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__MATHCALL (lgamma,_r, (_Mdouble_, int *__signgamp));
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#endif
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#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
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__BEGIN_NAMESPACE_C99
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/* Return the integer nearest X in the direction of the
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prevailing rounding mode. */
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__MATHCALL (rint,, (_Mdouble_ __x));
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/* Return X + epsilon if X < Y, X - epsilon if X > Y. */
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__MATHCALLX (nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
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# if defined __USE_ISOC99 && !defined __LDBL_COMPAT
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__MATHCALLX (nexttoward,, (_Mdouble_ __x, long double __y), (__const__));
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# endif
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#if __GLIBC_USE (IEC_60559_BFP_EXT)
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/* Return X - epsilon. */
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__MATHCALL (nextdown,, (_Mdouble_ __x));
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/* Return X + epsilon. */
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__MATHCALL (nextup,, (_Mdouble_ __x));
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# endif
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/* Return the remainder of integer divison X / Y with infinite precision. */
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__MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));
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# ifdef __USE_ISOC99
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/* Return X times (2 to the Nth power). */
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__MATHCALL (scalbn,, (_Mdouble_ __x, int __n));
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# endif
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/* Return the binary exponent of X, which must be nonzero. */
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__MATHDECL (int,ilogb,, (_Mdouble_ __x));
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#endif
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#ifdef __USE_ISOC99
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/* Return X times (2 to the Nth power). */
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__MATHCALL (scalbln,, (_Mdouble_ __x, long int __n));
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/* Round X to integral value in floating-point format using current
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rounding direction, but do not raise inexact exception. */
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__MATHCALL (nearbyint,, (_Mdouble_ __x));
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/* Round X to nearest integral value, rounding halfway cases away from
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zero. */
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__MATHCALLX (round,, (_Mdouble_ __x), (__const__));
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/* Round X to the integral value in floating-point format nearest but
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not larger in magnitude. */
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__MATHCALLX (trunc,, (_Mdouble_ __x), (__const__));
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/* Compute remainder of X and Y and put in *QUO a value with sign of x/y
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and magnitude congruent `mod 2^n' to the magnitude of the integral
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quotient x/y, with n >= 3. */
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__MATHCALL (remquo,, (_Mdouble_ __x, _Mdouble_ __y, int *__quo));
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/* Conversion functions. */
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/* Round X to nearest integral value according to current rounding
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direction. */
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__MATHDECL (long int,lrint,, (_Mdouble_ __x));
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__extension__
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__MATHDECL (long long int,llrint,, (_Mdouble_ __x));
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/* Round X to nearest integral value, rounding halfway cases away from
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zero. */
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__MATHDECL (long int,lround,, (_Mdouble_ __x));
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__extension__
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__MATHDECL (long long int,llround,, (_Mdouble_ __x));
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/* Return positive difference between X and Y. */
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__MATHCALL (fdim,, (_Mdouble_ __x, _Mdouble_ __y));
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/* Return maximum numeric value from X and Y. */
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__MATHCALLX (fmax,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
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|
|
|
/* Return minimum numeric value from X and Y. */
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|
__MATHCALLX (fmin,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
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|
|
|
|
|
/* Classify given number. */
|
|
__MATHDECL_1 (int, __fpclassify,, (_Mdouble_ __value))
|
|
__attribute__ ((__const__));
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|
|
|
/* Test for negative number. */
|
|
__MATHDECL_1 (int, __signbit,, (_Mdouble_ __value))
|
|
__attribute__ ((__const__));
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|
|
|
|
|
/* Multiply-add function computed as a ternary operation. */
|
|
__MATHCALL (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z));
|
|
#endif /* Use ISO C99. */
|
|
|
|
#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
|
|
__END_NAMESPACE_C99
|
|
#endif
|
|
|
|
#if __GLIBC_USE (IEC_60559_BFP_EXT)
|
|
/* Test equality. */
|
|
__MATHDECL_1 (int, __iseqsig,, (_Mdouble_ __x, _Mdouble_ __y));
|
|
|
|
/* Test for signaling NaN. */
|
|
__MATHDECL_1 (int, __issignaling,, (_Mdouble_ __value))
|
|
__attribute__ ((__const__));
|
|
|
|
/* Total order operation. */
|
|
__MATHDECL_1 (int, totalorder,, (_Mdouble_ __x, _Mdouble_ __y))
|
|
__attribute__ ((__const__));
|
|
#endif
|
|
|
|
#if defined __USE_MISC || (defined __USE_XOPEN_EXTENDED \
|
|
&& __MATH_DECLARING_DOUBLE \
|
|
&& !defined __USE_XOPEN2K8)
|
|
/* Return X times (2 to the Nth power). */
|
|
__MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n));
|
|
#endif
|