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/******************************************************************************
Copyright (c) 2007-2024, Intel Corp.
All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright notice,
this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
* Neither the name of Intel Corporation nor the names of its contributors
may be used to endorse or promote products derived from this software
without specific prior written permission.
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 THE COPYRIGHT OWNER OR 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.
******************************************************************************/
#include "endian.h"
#include "dpml_private.h"
#if !defined(CBRT_TABLE_NAME)
#define CBRT_TABLE_NAME __dpml_bid_cbrt_t_table
#endif
#if !TABLE_IS_EXTERNAL
const unsigned int CBRT_TABLE_NAME[] = {
/* 1.0 in double precision */
/* 000 */ DATA_1x2( 0x00000000, 0x3ff00000 ),
/* coeffs to approx cbrt(f) */
/* 008 */ DATA_1x2( 0x39cf22de, 0x3fd929ac ),
/* 016 */ DATA_1x2( 0x87730846, 0x3ff40b90 ),
/* 024 */ DATA_1x2( 0xd7a3e848, 0xbff68ee7 ),
/* 032 */ DATA_1x2( 0x80541937, 0x3ff6fbd1 ),
/* 040 */ DATA_1x2( 0xdf5da719, 0xbff16685 ),
/* 048 */ DATA_1x2( 0x1e6f904c, 0x3fe2d9c2 ),
/* 056 */ DATA_1x2( 0xe1c69901, 0xbfcc5a29 ),
/* 064 */ DATA_1x2( 0xda48850f, 0x3fac1c77 ),
/* 072 */ DATA_1x2( 0xdc0d2f07, 0xbf8086db ),
/* 080 */ DATA_1x2( 0x917c7fe0, 0x3f417636 ),
/* coeffs to approx 1/cbrt(f)^2 */
/* 088 */ DATA_1x2( 0x881b89ed, 0x400e1506 ),
/* 096 */ DATA_1x2( 0xc23a3b85, 0xc020ed35 ),
/* 104 */ DATA_1x2( 0x7264fecc, 0x4029d89a ),
/* 112 */ DATA_1x2( 0xae7a02bd, 0xc02a0b85 ),
/* 120 */ DATA_1x2( 0xb037ffa0, 0x402196ed ),
/* 128 */ DATA_1x2( 0xec98f3cd, 0xc00fa3c4 ),
/* 136 */ DATA_1x2( 0x7b6b49c4, 0x3ff2394e ),
/* 144 */ DATA_1x2( 0xc4f387a6, 0xbfc85e9d ),
/* 152 */ DATA_1x2( 0x3810ace9, 0x3f8cce2f ),
/* cube roots of 2^i, i = 0,1,2 in full and lo */
/* 160 */ DATA_1x2( 0x00000000, 0x3ff00000 ),
/* 168 */ DATA_1x2( 0x00000000, 0x20000000 ),
/* 176 */ DATA_1x2( 0xf98d728b, 0x3ff428a2 ),
/* 184 */ DATA_1x2( 0xc4400000, 0x3deae515 ),
/* 192 */ DATA_1x2( 0xa53d6e3d, 0x3ff965fe ),
/* 200 */ DATA_1x2( 0x82b00000, 0x3dfd6e3c ),
/* Numerical constants */
/* 208 */ DATA_1x2( 0x00000000, 0x42d00000 ),
/* 216 */ DATA_1x2( 0x38e38e39, 0x3fe8e38e ),
/* 224 */ DATA_1x2( 0x92492492, 0x3fc24924 ),
/* 232 */ DATA_1x2( 0xb6db6db7, 0x3fe6db6d ),
/* 240 */ DATA_1x2( 0x00000000, 0x402c0000 ),
/* 248 */ DATA_1x2( 0x00000000, 0x401c0000 ),
/* 256 */ DATA_1x2( 0x1c71c71c, 0x3fbc71c7 ),
};
#else
extern const TABLE_UNION CBRT_TABLE_NAME[66];
#endif
#define ONE_D *((double *) ((char *)CBRT_TABLE_NAME + 0))
#define CBRT_POLY_ADDR ((double *) ((char *)CBRT_TABLE_NAME + 8))
#define REC_CBRT_POLY_ADDR ((double *) ((char *)CBRT_TABLE_NAME + 88))
#define OFFSET_OF_CBRTS_OF_2 160
#define BIG_QUAD *((double *) ((char *)CBRT_TABLE_NAME + 208))
#define SEVEN_NINTHS *((double *) ((char *)CBRT_TABLE_NAME + 216))
#define ONE_SEVENTH *((double *) ((char *)CBRT_TABLE_NAME + 224))
#define FIVE_SEVENTHS *((double *) ((char *)CBRT_TABLE_NAME + 232))
#define FOURTEEN *((double *) ((char *)CBRT_TABLE_NAME + 240))
#define SEVEN *((double *) ((char *)CBRT_TABLE_NAME + 248))
#define NINTH *((double *) ((char *)CBRT_TABLE_NAME + 256))
# define CBRT_POLY_M(x) ((((CBRT_POLY_ADDR[0]+x*CBRT_POLY_ADDR[1])+(x*x)*CBRT_POLY_ADDR[2])+(x*(x*x))*(CBRT_POLY_ADDR[3] \
+x*CBRT_POLY_ADDR[4]))+((x*x)*(x*(x*x)))*(((CBRT_POLY_ADDR[5]+x*CBRT_POLY_ADDR[6])+(x*x)*CBRT_POLY_ADDR[7]) \
+(x*(x*x))*(CBRT_POLY_ADDR[8]+x*CBRT_POLY_ADDR[9])))
# define CBRT_POLY_C(x) (CBRT_POLY_ADDR[0]+x*(CBRT_POLY_ADDR[1]+x*(CBRT_POLY_ADDR[2]+x*(CBRT_POLY_ADDR[3] \
+x*(CBRT_POLY_ADDR[4]+x*(CBRT_POLY_ADDR[5]+x*(CBRT_POLY_ADDR[6]+x*(CBRT_POLY_ADDR[7] \
+x*(CBRT_POLY_ADDR[8]+x*CBRT_POLY_ADDR[9])))))))))
# define CBRT_POLY SELECT_POLY(CBRT_POLY_)
# define RECIP_CBRT_POLY_M(x) (((REC_CBRT_POLY_ADDR[0]+x*REC_CBRT_POLY_ADDR[1])+(x*x)*(REC_CBRT_POLY_ADDR[2]+x*REC_CBRT_POLY_ADDR[3])) \
+((x*x)*(x*x))*(((REC_CBRT_POLY_ADDR[4]+x*REC_CBRT_POLY_ADDR[5])+(x*x)*REC_CBRT_POLY_ADDR[6])+(x*(x*x))*(REC_CBRT_POLY_ADDR[7] \
+x*REC_CBRT_POLY_ADDR[8])))
# define RECIP_CBRT_POLY_C(x) (REC_CBRT_POLY_ADDR[0]+x*(REC_CBRT_POLY_ADDR[1]+x*(REC_CBRT_POLY_ADDR[2]+x*(REC_CBRT_POLY_ADDR[3] \
+x*(REC_CBRT_POLY_ADDR[4]+x*(REC_CBRT_POLY_ADDR[5]+x*(REC_CBRT_POLY_ADDR[6]+x*(REC_CBRT_POLY_ADDR[7] \
+x*REC_CBRT_POLY_ADDR[8]))))))))
# define RECIP_CBRT_POLY SELECT_POLY(RECIP_CBRT_POLY_)
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