/*---------------------------------------------------------------------------+ | 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; }