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+//
+// Copyright (c) 2000, 2001, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
+// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// WARRANTY DISCLAIMER
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://developer.intel.com/opensource.
+//
+
+// History: 02/02/2000 Initial version
+// 2/28/2000 added tags for logb and nextafter
+// 3/22/2000 Changes to support _LIB_VERSION variable
+// and filled some enum gaps. Added support for C99.
+// 5/31/2000 added prototypes for __libm_frexp_4l/8l
+// 8/10/2000 Changed declaration of _LIB_VERSION to work for library
+// builds and other application builds (precompiler directives).
+// 8/11/2000 Added pointers-to-matherr-functions declarations to allow
+// for user-defined matherr functions in the dll build.
+// 12/07/2000 Added scalbn error_types values.
+//
+
+#ifndef ASSEMBLER
+#include <math.h>
+
+float __libm_frexp_4f( float x, int* exp);
+float __libm_frexp_8f( float x, int* exp);
+double __libm_frexp_4( double x, int* exp);
+double __libm_frexp_8( double x, int* exp);
+long double __libm_frexp_4l( long double x, int* exp);
+long double __libm_frexp_8l( long double x, int* exp);
+void __libm_sincos_pi4(double,double*,double*,int);
+void __libm_y0y1(double , double *, double *);
+void __libm_j0j1(double , double *, double *);
+double __libm_lgamma_kernel(double,int*,int,int);
+double __libm_j0(double);
+double __libm_j1(double);
+double __libm_jn(int,double);
+double __libm_y0(double);
+double __libm_y1(double);
+double __libm_yn(int,double);
+
+extern double rint(double);
+extern double sqrt(double);
+extern double fabs(double);
+extern double log(double);
+extern double log1p(double);
+extern double sqrt(double);
+extern double sin(double);
+extern double exp(double);
+extern double modf(double, double *);
+extern double asinh(double);
+extern double acosh(double);
+extern double atanh(double);
+extern double tanh(double);
+extern double erf(double);
+extern double erfc(double);
+extern double j0(double);
+extern double j1(double);
+extern double jn(int, double);
+extern double y0(double);
+extern double y1(double);
+extern double yn(int, double);
+
+extern float fabsf(float);
+extern float asinhf(float);
+extern float acoshf(float);
+extern float atanhf(float);
+extern float tanhf(float);
+extern float erff(float);
+extern float erfcf(float);
+extern float j0f(float);
+extern float j1f(float);
+extern float jnf(int, float);
+extern float y0f(float);
+extern float y1f(float);
+extern float ynf(int, float);
+
+extern long double log1pl(long double);
+extern long double logl(long double);
+extern long double sqrtl(long double);
+extern long double expl(long double);
+
+extern long lround(double);
+extern long lroundf(float);
+extern long lroundl(long double);
+
+#if !(defined(SIZE_INT_32) || defined(SIZE_INT_64))
+ #error integer size not established; define SIZE_INT_32 or SIZE_INT_64
+#endif
+
+struct fp64 { /*/ sign:1 exponent:11 significand:52 (implied leading 1)*/
+ unsigned lo_significand:32;
+ unsigned hi_significand:20;
+ unsigned exponent:11;
+ unsigned sign:1;
+};
+
+#define HI_SIGNIFICAND_LESS(X, HI) ((X)->hi_significand < 0x ## HI)
+#define f64abs(x) ((x) < 0.0 ? -(x) : (x))
+
+typedef enum
+{
+ logl_zero=0, logl_negative, /* 0, 1 */
+ log_zero, log_negative, /* 2, 3 */
+ logf_zero, logf_negative, /* 4, 5 */
+ log10l_zero, log10l_negative, /* 6, 7 */
+ log10_zero, log10_negative, /* 8, 9 */
+ log10f_zero, log10f_negative, /* 10, 11 */
+ expl_overflow, expl_underflow, /* 12, 13 */
+ exp_overflow, exp_underflow, /* 14, 15 */
+ expf_overflow, expf_underflow, /* 16, 17 */
+ powl_overflow, powl_underflow, /* 18, 19 */
+ powl_zero_to_zero, /* 20 */
+ powl_zero_to_negative, /* 21 */
+ powl_neg_to_non_integer, /* 22 */
+ powl_nan_to_zero, /* 23 */
+ pow_overflow, pow_underflow, /* 24, 25 */
+ pow_zero_to_zero, /* 26 */
+ pow_zero_to_negative, /* 27 */
+ pow_neg_to_non_integer, /* 28 */
+ pow_nan_to_zero, /* 29 */
+ powf_overflow, powf_underflow, /* 30, 31 */
+ powf_zero_to_zero, /* 32 */
+ powf_zero_to_negative, /* 33 */
+ powf_neg_to_non_integer, /* 34 */
+ powf_nan_to_zero, /* 35 */
+ atan2l_zero, /* 36 */
+ atan2_zero, /* 37 */
+ atan2f_zero, /* 38 */
+ expm1l_overflow, /* 39 */
+ expm1l_underflow, /* 40 */
+ expm1_overflow, /* 41 */
+ expm1_underflow, /* 42 */
+ expm1f_overflow, /* 43 */
+ expm1f_underflow, /* 44 */
+ hypotl_overflow, /* 45 */
+ hypot_overflow, /* 46 */
+ hypotf_overflow, /* 47 */
+ sqrtl_negative, /* 48 */
+ sqrt_negative, /* 49 */
+ sqrtf_negative, /* 50 */
+ scalbl_overflow, scalbl_underflow, /* 51, 52 */
+ scalb_overflow, scalb_underflow, /* 53, 54 */
+ scalbf_overflow, scalbf_underflow, /* 55, 56 */
+ acosl_gt_one, acos_gt_one, acosf_gt_one, /* 57, 58, 59 */
+ asinl_gt_one, asin_gt_one, asinf_gt_one, /* 60, 61, 62 */
+ coshl_overflow, cosh_overflow, coshf_overflow, /* 63, 64, 65 */
+ y0l_zero, y0l_negative,y0l_gt_loss, /* 66, 67, 68 */
+ y0_zero, y0_negative,y0_gt_loss, /* 69, 70, 71 */
+ y0f_zero, y0f_negative,y0f_gt_loss, /* 72, 73, 74 */
+ y1l_zero, y1l_negative,y1l_gt_loss, /* 75, 76, 77 */
+ y1_zero, y1_negative,y1_gt_loss, /* 78, 79, 80 */
+ y1f_zero, y1f_negative,y1f_gt_loss, /* 81, 82, 83 */
+ ynl_zero, ynl_negative,ynl_gt_loss, /* 84, 85, 86 */
+ yn_zero, yn_negative,yn_gt_loss, /* 87, 88, 89 */
+ ynf_zero, ynf_negative,ynf_gt_loss, /* 90, 91, 92 */
+ j0l_gt_loss, /* 93 */
+ j0_gt_loss, /* 94 */
+ j0f_gt_loss, /* 95 */
+ j1l_gt_loss, /* 96 */
+ j1_gt_loss, /* 97 */
+ j1f_gt_loss, /* 98 */
+ jnl_gt_loss, /* 99 */
+ jn_gt_loss, /* 100 */
+ jnf_gt_loss, /* 101 */
+ lgammal_overflow, lgammal_negative,lgammal_reserve, /* 102, 103, 104 */
+ lgamma_overflow, lgamma_negative,lgamma_reserve, /* 105, 106, 107 */
+ lgammaf_overflow, lgammaf_negative, lgammaf_reserve,/* 108, 109, 110 */
+ gammal_overflow,gammal_negative, gammal_reserve, /* 111, 112, 113 */
+ gamma_overflow, gamma_negative, gamma_reserve, /* 114, 115, 116 */
+ gammaf_overflow,gammaf_negative,gammaf_reserve, /* 117, 118, 119 */
+ fmodl_by_zero, /* 120 */
+ fmod_by_zero, /* 121 */
+ fmodf_by_zero, /* 122 */
+ remainderl_by_zero, /* 123 */
+ remainder_by_zero, /* 124 */
+ remainderf_by_zero, /* 125 */
+ sinhl_overflow, sinh_overflow, sinhf_overflow, /* 126, 127, 128 */
+ atanhl_gt_one, atanhl_eq_one, /* 129, 130 */
+ atanh_gt_one, atanh_eq_one, /* 131, 132 */
+ atanhf_gt_one, atanhf_eq_one, /* 133, 134 */
+ acoshl_lt_one, /* 135 */
+ acosh_lt_one, /* 136 */
+ acoshf_lt_one, /* 137 */
+ log1pl_zero, log1pl_negative, /* 138, 139 */
+ log1p_zero, log1p_negative, /* 140, 141 */
+ log1pf_zero, log1pf_negative, /* 142, 143 */
+ ldexpl_overflow, ldexpl_underflow, /* 144, 145 */
+ ldexp_overflow, ldexp_underflow, /* 146, 147 */
+ ldexpf_overflow, ldexpf_underflow, /* 148, 149 */
+ logbl_zero, logb_zero, logbf_zero, /* 150, 151, 152 */
+ nextafterl_overflow, nextafter_overflow,
+ nextafterf_overflow, /* 153, 154, 155 */
+ ilogbl_zero, ilogb_zero, ilogbf_zero, /* 156, 157, 158 */
+ exp2l_overflow, exp2l_underflow, /* 159, 160 */
+ exp2_overflow, exp2_underflow, /* 161, 162 */
+ exp2f_overflow, exp2f_underflow, /* 163, 164 */
+ exp10l_overflow, exp10_overflow,
+ exp10f_overflow, /* 165, 166, 167 */
+ log2l_zero, log2l_negative, /* 168, 169 */
+ log2_zero, log2_negative, /* 170, 171 */
+ log2f_zero, log2f_negative, /* 172, 173 */
+ scalbnl_overflow, scalbnl_underflow, /* 174, 175 */
+ scalbn_overflow, scalbn_underflow, /* 176, 177 */
+ scalbnf_overflow, scalbnf_underflow /* 178, 179 */
+} error_types;
+
+void __libm_error_support(void*,void*,void*,error_types);
+
+#define BIAS_64 1023
+#define EXPINF_64 2047
+
+#define DOUBLE_HEX(HI, LO) 0x ## LO, 0x ## HI
+
+#if 0
+static const unsigned INF[] = {
+ DOUBLE_HEX(7ff00000, 00000000),
+ DOUBLE_HEX(fff00000, 00000000)
+};
+
+static const double _zeroo = 0.0;
+static const double _bigg = 1.0e300;
+static const double _ponee = 1.0;
+static const double _nonee = -1.0;
+
+#define INVALID (_zeroo * *((double*)&INF[0]))
+#define PINF *((double*)&INF[0])
+#define NINF -PINF
+#define PINF_DZ (_ponee/_zeroo)
+#define X_TLOSS 1.41484755040568800000e+16
+#endif
+
+struct exceptionf
+{
+ int type;
+ char *name;
+ float arg1, arg2, retval;
+};
+
+# ifdef __cplusplus
+struct __exception
+{
+ int type;
+ char *name;
+ double arg1, arg2, retval;
+};
+# else
+
+# ifndef _LIBC
+struct exception
+{
+ int type;
+ char *name;
+ double arg1, arg2, retval;
+};
+# endif
+# endif
+
+
+
+struct exceptionl
+{
+ int type;
+ char *name;
+ long double arg1, arg2, retval;
+};
+
+#ifdef _MS_
+#define MATHERR_F _matherrf
+#define MATHERR_D _matherr
+#else
+#define MATHERR_F matherrf
+#define MATHERR_D matherr
+#endif
+
+# ifdef __cplusplus
+#define EXC_DECL_D __exception
+#else
+// exception is a reserved name in C++
+#define EXC_DECL_D exception
+#endif
+
+extern int MATHERR_F(struct exceptionf*);
+extern int MATHERR_D(struct EXC_DECL_D*);
+extern int matherrl(struct exceptionl*);
+
+
+/* Set these appropriately to make thread Safe */
+#define ERRNO_RANGE errno = ERANGE
+#define ERRNO_DOMAIN errno = EDOM
+
+
+// Add code to support _LIB_VERSION
+#ifndef _LIBC
+typedef enum
+{
+ _IEEE_ = -1, // IEEE-like behavior
+ _SVID_, // SysV, Rel. 4 behavior
+ _XOPEN_, // Unix98
+ _POSIX_, // Posix
+ _ISOC_ // ISO C9X
+} _LIB_VERSION_TYPE;
+
+extern _LIB_VERSION_TYPE _LIB_VERSION;
+#endif
+
+// This is a run-time variable and may effect
+// floating point behavior of the libm functions
+
+#endif /* ASSEMBLER */
+
+/* Support for compatible assembler handling. */
+#if !defined L && defined _LIBC
+#define L(name) .L##name
+#endif
+#ifdef __ELF__
+#define ASM_SIZE_DIRECTIVE(name) .size name,.-name
+#define ASM_TYPE_DIRECTIVE(name,T) .type name,T
+#else
+#define ASM_SIZE_DIRECTIVE(name)
+#define ASM_TYPE_DIRECTIVE(name,T)
+#endif