text: /*-
   * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
   * All rights reserved.
   *
   * Redistribution and use in source and binary forms, with or without
   * modification, are permitted provided that the following conditions
   * are met:
   * 1. Redistributions of source code must retain the above copyright
   *    notice, this list of conditions and the following disclaimer.
   * 2. 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.
   *
   * THIS SOFTWARE IS PROVIDED BY THE AUTHOR 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 AUTHOR 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.
   *
   * $FreeBSD: soc2013/dpl/head/lib/msun/ld128/invtrig.h 181117 2008-07-31 22:41:26Z das $
   */
  
  #include <float.h>
  
  #include "fpmath.h"
  
  #define	BIAS		(LDBL_MAX_EXP - 1)
  #define	MANH_SIZE	(LDBL_MANH_SIZE + 1)
  
  /* Approximation thresholds. */
  #define	ASIN_LINEAR	(BIAS - 56)	/* 2**-56 */
  #define	ACOS_CONST	(BIAS - 113)	/* 2**-113 */
  #define	ATAN_CONST	(BIAS + 113)	/* 2**113 */
  #define	ATAN_LINEAR	(BIAS - 56)	/* 2**-56 */
  
  /* 0.95 */
  #define	THRESH	((0xe666666666666666ULL>>(64-(MANH_SIZE-1)))|LDBL_NBIT)
  
  /* Constants shared by the long double inverse trig functions. */
  #define	pS0	_ItL_pS0
  #define	pS1	_ItL_pS1
  #define	pS2	_ItL_pS2
  #define	pS3	_ItL_pS3
  #define	pS4	_ItL_pS4
  #define	pS5	_ItL_pS5
  #define	pS6	_ItL_pS6
  #define	pS7	_ItL_pS7
  #define	pS8	_ItL_pS8
  #define	pS9	_ItL_pS9
  #define	qS1	_ItL_qS1
  #define	qS2	_ItL_qS2
  #define	qS3	_ItL_qS3
  #define	qS4	_ItL_qS4
  #define	qS5	_ItL_qS5
  #define	qS6	_ItL_qS6
  #define	qS7	_ItL_qS7
  #define	qS8	_ItL_qS8
  #define	qS9	_ItL_qS9
  #define	atanhi	_ItL_atanhi
  #define	atanlo	_ItL_atanlo
  #define	aT	_ItL_aT
  #define	pi_lo	_ItL_pi_lo
  
  #define	pio2_hi	atanhi[3]
  #define	pio2_lo	atanlo[3]
  #define	pio4_hi	atanhi[1]
  
  /* Constants shared by the long double inverse trig functions. */
  extern const long double pS0, pS1, pS2, pS3, pS4, pS5, pS6, pS7, pS8, pS9;
  extern const long double qS1, qS2, qS3, qS4, qS5, qS6, qS7, qS8, qS9;
  extern const long double atanhi[], atanlo[], aT[];
  extern const long double pi_lo;
  
  static inline long double
  P(long double x)
  {
  
  	return (x * (pS0 + x * (pS1 + x * (pS2 + x * (pS3 + x * \
  		(pS4 + x * (pS5 + x * (pS6 + x * (pS7 + x * (pS8 + x * \
  		pS9))))))))));
  }
  
  static inline long double
  Q(long double x)
  {
  
  	return (1.0 + x * (qS1 + x * (qS2 + x * (qS3 + x * (qS4 + x * \
  		(qS5 + x * (qS6 + x * (qS7 + x * (qS8 + x * qS9)))))))));
  }
  
  static inline long double
  T_even(long double x)
  {
  
  	return (aT[0] + x * (aT[2] + x * (aT[4] + x * (aT[6] + x * \
  		(aT[8] + x * (aT[10] + x * (aT[12] + x * (aT[14] + x * \
  		(aT[16] + x * (aT[18] + x * (aT[20] + x * aT[22])))))))))));
  }
  
  static inline long double
  T_odd(long double x)
  {
  
  	return (aT[1] + x * (aT[3] + x * (aT[5] + x * (aT[7] + x * \
  		(aT[9] + x * (aT[11] + x * (aT[13] + x * (aT[15] + x * \
  		(aT[17] + x * (aT[19] + x * (aT[21] + x * aT[23])))))))))));
  }
  