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+/*
+ * poly_2xm1.c
+ *
+ * Function to compute 2^x-1 by 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
+ * All rights reserved.
+ *
+ * This copyright notice covers the redistribution and use of the
+ * FPU emulator developed by W. Metzenthen. It covers only its use
+ * in the 386BSD, FreeBSD and NetBSD operating systems. Any other
+ * use is not permitted under this copyright.
+ *
+ * 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 include information specifying
+ * that source code for the emulator is freely available and include
+ * either:
+ * a) an offer to provide the source code for a nominal distribution
+ * fee, or
+ * b) list at least two alternative methods whereby the source
+ * can be obtained, e.g. a publically accessible bulletin board
+ * and an anonymous ftp site from which the software can be
+ * downloaded.
+ * 3. All advertising materials specifically mentioning features or use of
+ * this emulator must acknowledge that it was developed by W. Metzenthen.
+ * 4. The name of W. Metzenthen may not be used to endorse or promote
+ * products derived from this software without specific prior written
+ * permission.
+ *
+ * THIS SOFTWARE IS PROVIDED ``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
+ * W. METZENTHEN 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.
+ *
+ *
+ * The purpose of this copyright, based upon the Berkeley copyright, is to
+ * ensure that the covered software remains freely available to everyone.
+ *
+ * The software (with necessary differences) is also available, but under
+ * the terms of the GNU copyleft, for the Linux operating system and for
+ * the djgpp ms-dos extender.
+ *
+ * W. Metzenthen June 1994.
+ *
+ *
+ * $Id: poly_2xm1.c,v 1.3 1994/06/10 07:44:32 rich Exp $
+ *
+ */
+
+#include "exception.h"
+#include "reg_constant.h"
+#include "fpu_emu.h"
+
+
+
+#define HIPOWER 13
+static unsigned short 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() -----------------------------------------------------------+
+ | |
+ +---------------------------------------------------------------------------*/
+int
+poly_2xm1(FPU_REG * arg, FPU_REG * result)
+{
+ short exponent;
+ long long Xll;
+ FPU_REG accum;
+
+
+ exponent = arg->exp - EXP_BIAS;
+
+ if (arg->tag == TW_Zero) {
+ /* Return 0.0 */
+ reg_move(&CONST_Z, result);
+ return 0;
+ }
+ if (exponent >= 0) { /* Can't hack a number >= 1.0 */
+ arith_invalid(result); /* Number too large */
+ return 1;
+ }
+ if (arg->sign != SIGN_POS) { /* Can't hack a number < 0.0 */
+ arith_invalid(result); /* Number negative */
+ return 1;
+ }
+ if (exponent < -64) {
+ reg_move(&CONST_LN2, result);
+ return 0;
+ }
+ *(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) >= (unsigned)0x80000000)
+ 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;
+
+}