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/*---------------------------------------------------------------------------+
 |  poly_atan.c                                                              |
 |                                                                           |
 | Compute the arctan of a FPU_REG, using a polynomial approximation.        |
 |                                                                           |
 | Copyright (C) 1992,1993,1994                                              |
 |                       W. Metzenthen, 22 Parker St, Ormond, Vic 3163,      |
 |                       Australia.  E-mail   billm@vaxc.cc.monash.edu.au    |
 |                                                                           |
 |                                                                           |
 +---------------------------------------------------------------------------*/
 
#include "exception.h"
#include "reg_constant.h"
#include "fpu_emu.h"
#include "status_w.h"
#include "control_w.h"
#include "poly.h"
 
 
#define	HIPOWERon	6	/* odd poly, negative terms */
static const unsigned long long oddnegterms[HIPOWERon] =
{
  0x0000000000000000LL, /* Dummy (not for - 1.0) */
  0x015328437f756467LL,
  0x0005dda27b73dec6LL,
  0x0000226bf2bfb91aLL,
  0x000000ccc439c5f7LL,
  0x0000000355438407LL
} ;
 
#define	HIPOWERop	6	/* odd poly, positive terms */
static const unsigned long long oddplterms[HIPOWERop] =
{
/*  0xaaaaaaaaaaaaaaabLL,  transferred to fixedpterm[] */
  0x0db55a71875c9ac2LL,
  0x0029fce2d67880b0LL,
  0x0000dfd3908b4596LL,
  0x00000550fd61dab4LL,
  0x0000001c9422b3f9LL,
  0x000000003e3301e1LL
};
 
static const unsigned long long denomterm = 0xebd9b842c5c53a0eLL;
 
static const Xsig fixedpterm = MK_XSIG(0xaaaaaaaa, 0xaaaaaaaa, 0xaaaaaaaa);
 
static const Xsig pi_signif = MK_XSIG(0xc90fdaa2, 0x2168c234, 0xc4c6628b);
 
 
/*--- poly_atan() -----------------------------------------------------------+
 |                                                                           |
 +---------------------------------------------------------------------------*/
void	poly_atan(FPU_REG *arg1, FPU_REG *arg2, FPU_REG *result)
{
  char		        transformed, inverted,
                        sign1 = arg1->sign, sign2 = arg2->sign;
  long int   		exponent, dummy_exp;
  Xsig                  accumulator, Numer, Denom, accumulatore, argSignif,
                        argSq, argSqSq;
 
 
  arg1->sign = arg2->sign = SIGN_POS;
  if ( (compare(arg2) & ~COMP_Denormal) == COMP_A_lt_B )
    {
      inverted = 1;
      exponent = arg1->exp - arg2->exp;
      Numer.lsw = Denom.lsw = 0;
      XSIG_LL(Numer) = significand(arg1);
      XSIG_LL(Denom) = significand(arg2);
    }
  else
    {
      inverted = 0;
      exponent = arg2->exp - arg1->exp;
      Numer.lsw = Denom.lsw = 0;
      XSIG_LL(Numer) = significand(arg2);
      XSIG_LL(Denom) = significand(arg1);
     }
  div_Xsig(&Numer, &Denom, &argSignif);
  exponent += norm_Xsig(&argSignif);
 
  if ( (exponent >= -1)
      || ((exponent == -2) && (argSignif.msw > 0xd413ccd0)) )
    {
      /* The argument is greater than sqrt(2)-1 (=0.414213562...) */
      /* Convert the argument by an identity for atan */
      transformed = 1;
 
      if ( exponent >= 0 )
	{
#ifdef PARANOID
	  if ( !( (exponent == 0) && 
		 (argSignif.lsw == 0) && (argSignif.midw == 0) &&
		 (argSignif.msw == 0x80000000) ) )
	    {
	      EXCEPTION(EX_INTERNAL|0x104);  /* There must be a logic error */
	      return;
	    }
#endif PARANOID
	  argSignif.msw = 0;   /* Make the transformed arg -> 0.0 */
	}
      else
	{
	  Numer.lsw = Denom.lsw = argSignif.lsw;
	  XSIG_LL(Numer) = XSIG_LL(Denom) = XSIG_LL(argSignif);
 
	  if ( exponent < -1 )
	    shr_Xsig(&Numer, -1-exponent);
	  negate_Xsig(&Numer);
 
	  shr_Xsig(&Denom, -exponent);
	  Denom.msw |= 0x80000000;
 
	  div_Xsig(&Numer, &Denom, &argSignif);
 
	  exponent = -1 + norm_Xsig(&argSignif);
	}
    }
  else
    {
      transformed = 0;
    }
 
  argSq.lsw = argSignif.lsw; argSq.midw = argSignif.midw;
  argSq.msw = argSignif.msw;
  mul_Xsig_Xsig(&argSq, &argSq);
 
  argSqSq.lsw = argSq.lsw; argSqSq.midw = argSq.midw; argSqSq.msw = argSq.msw;
  mul_Xsig_Xsig(&argSqSq, &argSqSq);
 
  accumulatore.lsw = argSq.lsw;
  XSIG_LL(accumulatore) = XSIG_LL(argSq);
 
  shr_Xsig(&argSq, 2*(-1-exponent-1));
  shr_Xsig(&argSqSq, 4*(-1-exponent-1));
 
  /* Now have argSq etc with binary point at the left
     .1xxxxxxxx */
 
  /* Do the basic fixed point polynomial evaluation */
  accumulator.msw = accumulator.midw = accumulator.lsw = 0;
  polynomial_Xsig(&accumulator, &XSIG_LL(argSqSq),
		   oddplterms, HIPOWERop-1);
  mul64_Xsig(&accumulator, &XSIG_LL(argSq));
  negate_Xsig(&accumulator);
  polynomial_Xsig(&accumulator, &XSIG_LL(argSqSq), oddnegterms, HIPOWERon-1);
  negate_Xsig(&accumulator);
  add_two_Xsig(&accumulator, &fixedpterm, &dummy_exp);
 
  mul64_Xsig(&accumulatore, &denomterm);
  shr_Xsig(&accumulatore, 1 + 2*(-1-exponent));
  accumulatore.msw |= 0x80000000;
 
  div_Xsig(&accumulator, &accumulatore, &accumulator);
 
  mul_Xsig_Xsig(&accumulator, &argSignif);
  mul_Xsig_Xsig(&accumulator, &argSq);
 
  shr_Xsig(&accumulator, 3);
  negate_Xsig(&accumulator);
  add_Xsig_Xsig(&accumulator, &argSignif);
 
  if ( transformed )
    {
      /* compute pi/4 - accumulator */
      shr_Xsig(&accumulator, -1-exponent);
      negate_Xsig(&accumulator);
      add_Xsig_Xsig(&accumulator, &pi_signif);
      exponent = -1;
    }
 
  if ( inverted )
    {
      /* compute pi/2 - accumulator */
      shr_Xsig(&accumulator, -exponent);
      negate_Xsig(&accumulator);
      add_Xsig_Xsig(&accumulator, &pi_signif);
      exponent = 0;
    }
 
  if ( sign1 )
    {
      /* compute pi - accumulator */
      shr_Xsig(&accumulator, 1 - exponent);
      negate_Xsig(&accumulator);
      add_Xsig_Xsig(&accumulator, &pi_signif);
      exponent = 1;
    }
 
  exponent += round_Xsig(&accumulator);
  significand(result) = XSIG_LL(accumulator);
  result->exp = exponent + EXP_BIAS;
  result->tag = TW_Valid;
  result->sign = sign2;
 
}