/* * polynomial.S * * Fixed point arithmetic polynomial evaluation. * * Call from C as: * void polynomial(unsigned accum[], unsigned x[], unsigned terms[][2], * int n) * * Computes: * terms[0] + (terms[1] + (terms[2] + ... + (terms[n-1]*x)*x)*x)*x) ... )*x * The result is returned in accum. * * * 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. * * * $FreeBSD$ * */ .file "fpolynom.s" #include /* #define EXTRA_PRECISE*/ #define TERM_SIZE $8 .text ENTRY(polynomial) pushl %ebp movl %esp,%ebp subl $32,%esp pushl %esi pushl %edi pushl %ebx movl PARAM1,%esi /* accum */ movl PARAM2,%edi /* x */ movl PARAM3,%ebx /* terms */ movl PARAM4,%ecx /* n */ movl TERM_SIZE,%eax mull %ecx movl %eax,%ecx movl 4(%ebx,%ecx,1),%edx /* terms[n] */ movl %edx,-20(%ebp) movl (%ebx,%ecx,1),%edx /* terms[n] */ movl %edx,-24(%ebp) xor %eax,%eax movl %eax,-28(%ebp) subl TERM_SIZE,%ecx js L_accum_done L_accum_loop: xor %eax,%eax movl %eax,-4(%ebp) movl %eax,-8(%ebp) #ifdef EXTRA_PRECISE movl -28(%ebp),%eax mull 4(%edi) /* x ms long */ movl %edx,-12(%ebp) #endif EXTRA_PRECISE movl -24(%ebp),%eax mull (%edi) /* x ls long */ /* movl %eax,-16(%ebp) */ /* Not needed */ addl %edx,-12(%ebp) adcl $0,-8(%ebp) movl -24(%ebp),%eax mull 4(%edi) /* x ms long */ addl %eax,-12(%ebp) adcl %edx,-8(%ebp) adcl $0,-4(%ebp) movl -20(%ebp),%eax mull (%edi) addl %eax,-12(%ebp) adcl %edx,-8(%ebp) adcl $0,-4(%ebp) movl -20(%ebp),%eax mull 4(%edi) addl %eax,-8(%ebp) adcl %edx,-4(%ebp) /* Now add the next term */ movl (%ebx,%ecx,1),%eax addl %eax,-8(%ebp) movl 4(%ebx,%ecx,1),%eax adcl %eax,-4(%ebp) /* And put into the second register */ movl -4(%ebp),%eax movl %eax,-20(%ebp) movl -8(%ebp),%eax movl %eax,-24(%ebp) #ifdef EXTRA_PRECISE movl -12(%ebp),%eax movl %eax,-28(%ebp) #else testb $128,-25(%ebp) je L_no_poly_round addl $1,-24(%ebp) adcl $0,-20(%ebp) L_no_poly_round: #endif EXTRA_PRECISE subl TERM_SIZE,%ecx jns L_accum_loop L_accum_done: #ifdef EXTRA_PRECISE /* And round the result */ testb $128,-25(%ebp) je L_poly_done addl $1,-24(%ebp) adcl $0,-20(%ebp) #endif EXTRA_PRECISE L_poly_done: movl -24(%ebp),%eax movl %eax,(%esi) movl -20(%ebp),%eax movl %eax,4(%esi) popl %ebx popl %edi popl %esi leave ret