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