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- /*---------------------------------------------------------------------------+
- | poly_2xm1.c |
- | |
- | Function to compute 2^x-1 by a polynomial approximation. |
- | |
- | Copyright (C) 1992,1993 |
- | 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"
-
-
-
- #define HIPOWER 13
- static unsigned short const lterms[HIPOWER][4] =
- {
- { 0x79b5, 0xd1cf, 0x17f7, 0xb172 },
- { 0x1b56, 0x058b, 0x7bff, 0x3d7f },
- { 0x8bb0, 0x8250, 0x846b, 0x0e35 },
- { 0xbc65, 0xf747, 0x556d, 0x0276 },
- { 0x17cb, 0x9e39, 0x61ff, 0x0057 },
- { 0xe018, 0x9776, 0x1848, 0x000a },
- { 0x66f2, 0xff30, 0xffe5, 0x0000 },
- { 0x682f, 0xffb6, 0x162b, 0x0000 },
- { 0xb7ca, 0x2956, 0x01b5, 0x0000 },
- { 0xcd3e, 0x4817, 0x001e, 0x0000 },
- { 0xb7e2, 0xecbe, 0x0001, 0x0000 },
- { 0x0ed5, 0x1a27, 0x0000, 0x0000 },
- { 0x101d, 0x0222, 0x0000, 0x0000 },
- };
-
-
- /*--- poly_2xm1() -----------------------------------------------------------+
- | Requires a positive argument which is TW_Valid and < 1. |
- +---------------------------------------------------------------------------*/
- int poly_2xm1(FPU_REG const *arg, FPU_REG *result)
- {
- short exponent;
- long long Xll;
- FPU_REG accum;
-
-
- exponent = arg->exp - EXP_BIAS;
-
- #ifdef PARANOID
- if ( (arg->sign != SIGN_POS) /* Can't hack a number < 0.0 */
- || (exponent >= 0) /* or a |number| >= 1.0 */
- || (arg->tag != TW_Valid) )
- {
- /* Number negative, too large, or not Valid. */
- EXCEPTION(EX_INTERNAL|0x127);
- return 1;
- }
- #endif PARANOID
-
- *(unsigned *)&Xll = arg->sigl;
- *(((unsigned *)&Xll)+1) = arg->sigh;
- if ( exponent < -1 )
- {
- /* Shift the argument right by the required places. */
- if ( shrx(&Xll, -1-exponent) >= 0x80000000U )
- Xll++; /* round up */
- }
-
- *(short *)&(accum.sign) = 0; /* Will be a valid positive nr with expon = 0 */
- accum.exp = 0;
-
- /* Do the basic fixed point polynomial evaluation */
- polynomial((unsigned *)&accum.sigl, (unsigned *)&Xll, lterms, HIPOWER-1);
-
- /* Convert to 64 bit signed-compatible */
- accum.exp += EXP_BIAS - 1;
-
- reg_move(&accum, result);
-
- normalize(result);
-
- return 0;
-
- }
-