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| author | Florian Fischer <florian.fl.fischer@fau.de> | 2019-08-24 17:57:51 +0200 |
|---|---|---|
| committer | Florian Fischer <florian.fl.fischer@fau.de> | 2019-08-24 17:57:51 +0200 |
| commit | 77ac9ce0a5c55d4f79f8fb8f7daa59ddb53cb507 (patch) | |
| tree | 93d4e30a207265af03394d347bfff76ba677f3ce | |
| parent | 971adefadb94e8780b1a73f08ed11d76c2ead8a2 (diff) | |
| download | allocbench-77ac9ce0a5c55d4f79f8fb8f7daa59ddb53cb507.tar.gz allocbench-77ac9ce0a5c55d4f79f8fb8f7daa59ddb53cb507.zip | |
add cfrac benchmark
44 files changed, 5192 insertions, 0 deletions
diff --git a/src/benchmarks/cfrac.py b/src/benchmarks/cfrac.py new file mode 100644 index 0000000..a2a5c7b --- /dev/null +++ b/src/benchmarks/cfrac.py @@ -0,0 +1,32 @@ +from src.benchmark import Benchmark + +class Benchmark_Cfrac(Benchmark): + def __init__(self): + self.name = "cfrac" + self.descrition = """TODO.""" + + self.cmd = "cfrac{binary_suffix} {num}" + + self.args = {"num": [175451865205073170563711388363274837927895]} + + self.requirements = ["cfrac"] + super().__init__() + + def summary(self): + # Speed + self.barplot_single_arg("{task-clock}/1000", + ylabel='"cpu-second"', + title='"Cfrac: runtime"', + filepostfix="time") + + # L1 cache misses + self.barplot_single_arg("({L1-dcache-load-misses}/{L1-dcache-loads})*100", + ylabel='"L1 misses in %"', + title='"Cfrac l1 cache misses"', + filepostfix="l1misses") + + self.export_stats_to_csv("task-clock") + self.export_stats_to_dataref("task-clock") + + +cfrac = Benchmark_Cfrac()
\ No newline at end of file diff --git a/src/benchmarks/cfrac/CMakeLists.txt b/src/benchmarks/cfrac/CMakeLists.txt new file mode 100644 index 0000000..b84d68c --- /dev/null +++ b/src/benchmarks/cfrac/CMakeLists.txt @@ -0,0 +1,18 @@ +cmake_minimum_required(VERSION 3.0) +project(cfrac C) + +set(CMAKE_BUILD_TYPE "Release") + +set(cfrac_sources + cfrac.c + pops.c pconst.c pio.c + pabs.c pneg.c pcmp.c podd.c phalf.c + padd.c psub.c pmul.c pdivmod.c psqrt.c ppowmod.c + atop.c ptoa.c itop.c utop.c ptou.c errorp.c + pfloat.c pidiv.c pimod.c picmp.c + primes.c pcfrac.c pgcd.c) + +add_executable(cfrac ${cfrac_sources}) +target_compile_options(cfrac PRIVATE $<$<C_COMPILER_ID:GNU>:-std=gnu89>) +target_compile_definitions(cfrac PRIVATE NOMEMOPT=1) +target_link_libraries(cfrac m) diff --git a/src/benchmarks/cfrac/Makefile b/src/benchmarks/cfrac/Makefile new file mode 100644 index 0000000..3c42b66 --- /dev/null +++ b/src/benchmarks/cfrac/Makefile @@ -0,0 +1,10 @@ +OBJDIR ?= obj + +.PHONY = all clean + +all: + cmake -S $(shell pwd) -B $(OBJDIR) + make -C $(OBJDIR) + +clean: + rm -rf $(OBJDIR) diff --git a/src/benchmarks/cfrac/README.md b/src/benchmarks/cfrac/README.md new file mode 100644 index 0000000..529480a --- /dev/null +++ b/src/benchmarks/cfrac/README.md @@ -0,0 +1,5 @@ +pcfrac: Implementation of the continued fraction factoring algoritm + +Every two digits additional appears to double the factoring time + +Written by Dave Barrett (barrett%asgard@boulder.Colorado.EDU) diff --git a/src/benchmarks/cfrac/asm16bit.h b/src/benchmarks/cfrac/asm16bit.h new file mode 100644 index 0000000..2fb6e48 --- /dev/null +++ b/src/benchmarks/cfrac/asm16bit.h @@ -0,0 +1,39 @@ +/* + * HP-UX C compiler conventions + * + * Args pushed right-to-left; caller pops args on return + * Function result returned in d0 or d0(msb) d1(lsb) pair + * Called function must preserve all registers except d0,d1,a0,a1 + * C Registers are allocated from top-to-bottem in text from d7-d2, a5-a2 + */ +#ifdef __STDC__ +extern digit memaddw(digitPtr, digitPtr, digitPtr, posit); +extern digit memsubw(digitPtr, digitPtr, digitPtr, posit); + +extern digit memincw(digitPtr, accumulator); +extern digit memdecw(digitPtr, accumulator); + +extern digit memmulw(digitPtr, digitPtr, posit, digitPtr, posit); + +extern digit memdivw(digitPtr, digitPtr, posit, digitPtr); +extern digit memdivw1(digitPtr, digitPtr, posit, digit); +extern digit memmulw1(digitPtr, digitPtr, posit, digit); +extern digit memmodw1(digitPtr, posit, digit); + +extern void memlsrw(digitPtr, posit); +#else +extern digit memaddw(); +extern digit memsubw(); + +extern digit memincw(); +extern digit memdecw(); + +extern digit memmulw(); + +extern digit memdivw(); +extern digit memdivw1(); +extern digit memmulw1(); +extern digit memmodw1(); + +extern void memlsrw(); +#endif diff --git a/src/benchmarks/cfrac/atop.c b/src/benchmarks/cfrac/atop.c new file mode 100644 index 0000000..98f132a --- /dev/null +++ b/src/benchmarks/cfrac/atop.c @@ -0,0 +1,61 @@ +#include <ctype.h> +#include "pdefs.h" +#include "pcvt.h" +#include "precision.h" + +/* + * ascii to precision (modeled after atoi) + * leading whitespace skipped + * an optional leading '-' or '+' followed by digits '0'..'9' + * leading 0's Ok + * stops at first unrecognized character + * + * Returns: pUndef if an invalid argument (pUndef or nondigit as 1st digit) + */ +precision atop(chp) + register char *chp; +{ + precision res = pUndef; + precision clump = pUndef; + int sign = 0; + register int ch; + register accumulator temp; + accumulator x; + register int i; + + if (chp != (char *) 0) { + while (isspace(*chp)) chp++; /* skip whitespace */ + if (*chp == '-') { + sign = 1; + ++chp; + } else if (*chp == '+') { + ++chp; + } + if (isdigit(ch = * (unsigned char *) chp)) { + pset(&res, pzero); + pset(&clump, utop(aDigit)); + do { + i = aDigitLog-1; + temp = ch - '0'; + do { + if (!isdigit(ch = * (unsigned char *) ++chp)) goto atoplast; + temp = temp * aBase + (ch - '0'); + } while (--i > 0); + pset(&res, padd(pmul(res, clump), utop(temp))); + } while (isdigit(ch = * (unsigned char *) ++chp)); + goto atopdone; +atoplast: + x = aBase; + while (i++ < aDigitLog-1) { + x *= aBase; + } + pset(&res, padd(pmul(res, utop(x)), utop(temp))); +atopdone: + if (sign) { + pset(&res, pneg(res)); + } + } + } + pdestroy(clump); + return presult(res); +} diff --git a/src/benchmarks/cfrac/cfrac.c b/src/benchmarks/cfrac/cfrac.c new file mode 100644 index 0000000..9185d18 --- /dev/null +++ b/src/benchmarks/cfrac/cfrac.c @@ -0,0 +1,268 @@ +#include <string.h> +#include <stdio.h> +#include <math.h> /* for findk */ + +#if defined(_WIN32) +#include <windows.h> +#endif + +#include "pdefs.h" + +#ifdef __STDC__ +#include <stdlib.h> +#endif +#include "precision.h" +#include "pfactor.h" + +#ifdef __STDC__ +extern unsigned *pfactorbase(precision n, unsigned k, + unsigned *m, unsigned aborts); +extern double pomeranceLpow(double n, double alpha); +#else +extern unsigned *pfactorbase(); +extern double pomeranceLpow(); +#endif + +int verbose = 0; +int debug = 0; + +extern unsigned cfracNabort; +extern unsigned cfracTsolns; +extern unsigned cfracPsolns; +extern unsigned cfracT2solns; +extern unsigned cfracFsolns; + + +extern unsigned short primes[]; +extern unsigned primesize; + +/* + * Return the value of "f(p,d)" from Knuth's exercise 28 + */ +float pfKnuthEx28(p, d) + unsigned p; + precision d; +{ + register float res; + precision k = pUndef; + + (void) pparm(d); + if (p == 2) { + if (peven(d)) { + pset(&k, phalf(d)); + if (peven(k)) { + res = 2.0/3.0 + pfKnuthEx28(2,k)/2.0; /* eliminate powers of 2 */ + } else { /* until only one 2 left in d. */ + res = 1.0/3.0; /* independent of (the now odd) k. Wow! */ + } + } else { /* d now odd */ + pset(&k, phalf(d)); + if (podd(k)) { + res = 1.0/3.0; /* f(2,4k+3): d%8 == 3 or 7 */ + } else { + if (podd(phalf(k))) { + res = 2.0/3.0; /* f(2,8k+5): d%8 == 5 */ + } else { + res = 4.0/3.0; /* f(2,8k+1): d%8 == 1 */ + } + } + } + } else { /* PART 3: p odd, d could still be even (OK) */ + pset(&k, utop(p)); + if peq(ppowmod(d, phalf(psub(k, pone)), k), pone) { + res = (float) (p+p) / (((float) p)*p-1.0); /* beware int overflow! */ + } else { + res = 0.0; + } + } + + pdestroy(k); + pdestroy(d); + if (debug > 1) { + fprintf(stdout, "f(%u,", p); + fprintf(stdout, "d) = %9.7f\n", res); + } + return res; +} + +float cfrac_logf(unsigned p, precision n, unsigned k) +{ + register float res; + + (void) pparm(n); + +#if 0 /* old code for non-float machines; not worth the cost */ + pset(&r, utop(k)); + log2sqrtk = plogb(pipow(r, q >> 1), ptwo); + fplog2p = (f(p,pmul(r,n),q) * plogb(pipow(utop(p),q),ptwo)+(q>>1))/q; +#endif + + res = pfKnuthEx28(p, pmul(itop(k),n)) * log((double) p); + /* res -= log((double) k) * 0.5; */ + + pdestroy(n); + return res; +} + +/* + * Find the best value of k for the given n and m. + * + * Input/Output: + * n - the number to factor + * m - pointer to size of factorbase (0 = select "best" size) + * aborts - the number of early aborts + */ +unsigned findk(n, m, aborts, maxk) + precision n; + register unsigned *m; + unsigned aborts, maxk; +{ + unsigned k, bestk = 0, count, bestcount = 0, maxpm; + float sum, max = -1.0E+15; /* should be small enough */ + unsigned *p; + register unsigned i; + register unsigned short *primePtr; + + (void) pparm(n); + + for (k = 1; k < maxk; k++) { /* maxk should best be m+m? */ + if (debug) { + fputs("kN = ", stdout); + fputp(stdout, pmul(utop(k), n)); putc('\n', stdout); + } + count = *m; + p = pfactorbase(n, k, &count, aborts); + if (p == (unsigned *) 0) { + fprintf(stderr, "couldn't compute factor base in findk\n"); + exit(1); + } + + maxpm = p[count-1]; + + sum = 0.0; + primePtr = primes; + while (*primePtr <= maxpm) { + sum += cfrac_logf((unsigned) *primePtr++, n, k); + } + sum -= log((double) k) * 0.5; + if (verbose > 2) fprintf(stdout, "%u: %5.2f", k, sum); + if (debug) fprintf(stdout, " log(k)/2=%5.2f", log((double) k) * 0.5); + if (verbose > 2) { + fputs("\n", stdout); + fflush(stdout); + } + if (sum > max) { + max = sum; + bestk = k; + bestcount = count; + } +#ifndef IGNOREFREE + free(p); +#endif + } + + *m = bestcount; + pdestroy(n); + return bestk; +} + +extern char *optarg; +extern int optind; + +char *progName; + +extern int getopt(); + +int main(argc, argv) + int argc; + char *argv[]; +{ + unsigned m = 0, k = 0; + unsigned maxCount = 1<<30, count, maxk = 0; + int ch; + precision n = pUndef, f = pUndef; + unsigned aborts = 3; + unsigned *p; + double d; + + progName = *argv; + + while ((ch = getopt(argc, argv, "a:k:i:dv")) != EOF) switch (ch) { + case 'a': + aborts = atoi(optarg); + break; + case 'k': + maxk = atoi(optarg); + break; + case 'i': + maxCount = atoi(optarg); + break; + case 'd': + debug++; + break; + case 'v': + verbose++; + break; + default: +usage: fprintf(stderr, + "usage: %s [-dv] [-a aborts ] [-k maxk ] [-i maxCount ] n [[ m ] k ]\n", + progName); + return 1; + } + argc -= optind; + argv += optind; + + if (argc == 0) { + argc = 1; + static char* argvx[2] = { "17545186520507317056371138836327483792736", NULL }; + argv = argvx; + } + + if (argc < 1 || argc > 3) goto usage; + + pset(&n, atop(*argv++)); --argc; + if (argc) { m = atoi(*argv++); --argc; } + if (argc) { k = atoi(*argv++); --argc; } + + if (k == 0) { + if (maxk == 0) { + maxk = m / 2 + 5; + if (verbose) fprintf(stdout, "maxk = %u\n", maxk); + } + k = findk(n, &m, aborts, maxk); + if (verbose) { + fprintf(stdout, "k = %u\n", k); + } + } + + count = maxCount; + + pcfracInit(m, k, aborts); + + pset(&f, pcfrac(n, &count)); + count = maxCount - count; + if (verbose) { + putc('\n', stdout); + fprintf(stdout, "Iterations : %u\n", count); + fprintf(stdout, "Early Aborts : %u\n", cfracNabort); + fprintf(stdout, "Total Partials : %u\n", cfracTsolns); + fprintf(stdout, "Used Partials : %u\n", cfracT2solns); + fprintf(stdout, "Full Solutions : %u\n", cfracPsolns); + fprintf(stdout, "Factor Attempts: %u\n", cfracFsolns); + } + + if (f != pUndef) { + fputp(stdout, n); + fputs(" = ", stdout); + fputp(stdout, f); + fputs(" * ", stdout); + pdivmod(n, f, &n, pNull); + fputp(stdout, n); + putc('\n', stdout); + } + + pdestroy(f); + pdestroy(n); + + return 0; +} diff --git a/src/benchmarks/cfrac/errorp.c b/src/benchmarks/cfrac/errorp.c new file mode 100644 index 0000000..5868aa4 --- /dev/null +++ b/src/benchmarks/cfrac/errorp.c @@ -0,0 +1,27 @@ +#include <stdio.h> +#include "precision.h" + +/* + * Fatal error (user substitutable) + * + * PNOMEM - out of memory (pcreate) + * PREFCOUNT - refcount negative (pdestroy) + * PUNDEFINED - undefined value referenced (all) + * PDOMAIN - domain error + * pdivmod: divide by zero + * psqrt: negative argument + * POVERFLOW - overflow + * itop: too big + */ +precision errorp(errnum, routine, message) + int errnum; + char *routine; + char *message; +{ + fputs(routine, stderr); + fputs(": ", stderr); + fputs(message, stderr); + fputs("\n", stderr); + abort(); /* remove this line if you want */ + return pUndef; +} diff --git a/src/benchmarks/cfrac/getopt.c b/src/benchmarks/cfrac/getopt.c new file mode 100644 index 0000000..788c2cb --- /dev/null +++ b/src/benchmarks/cfrac/getopt.c @@ -0,0 +1,757 @@ +/* Getopt for GNU. + NOTE: getopt is now part of the C library, so if you don't know what + "Keep this file name-space clean" means, talk to roland@gnu.ai.mit.edu + before changing it! + + Copyright (C) 1987, 88, 89, 90, 91, 92, 93, 94 + Free Software Foundation, Inc. + + This program is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by the + Free Software Foundation; either version 2, or (at your option) any + later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. */ + +/* This tells Alpha OSF/1 not to define a getopt prototype in <stdio.h>. + Ditto for AIX 3.2 and <stdlib.h>. */ +#ifndef _NO_PROTO +#define _NO_PROTO +#endif + +#include <string.h> + +#ifdef HAVE_CONFIG_H +#if defined (emacs) || defined (CONFIG_BROKETS) +/* We use <config.h> instead of "config.h" so that a compilation + using -I. -I$srcdir will use ./config.h rather than $srcdir/config.h + (which it would do because it found this file in $srcdir). */ +#include <config.h> +#else +#include "config.h" +#endif +#endif + +#ifndef __STDC__ +/* This is a separate conditional since some stdc systems + reject `defined (const)'. */ +#ifndef const +#define const +#endif +#endif + +#include <stdio.h> + +#ifdef HAVE_STRING_H +#include <string.h> +#endif + +/* Comment out all this code if we are using the GNU C Library, and are not + actually compiling the library itself. This code is part of the GNU C + Library, but also included in many other GNU distributions. Compiling + and linking in this code is a waste when using the GNU C library + (especially if it is a shared library). Rather than having every GNU + program understand `configure --with-gnu-libc' and omit the object files, + it is simpler to just do this in the source for each such file. */ + +#if defined (_LIBC) || !defined (__GNU_LIBRARY__) + + +/* This needs to come after some library #include + to get __GNU_LIBRARY__ defined. */ +#ifdef __GNU_LIBRARY__ +/* Don't include stdlib.h for non-GNU C libraries because some of them + contain conflicting prototypes for getopt. */ +#include <stdlib.h> +#endif /* GNU C library. */ + +/* This version of `getopt' appears to the caller like standard Unix `getopt' + but it behaves differently for the user, since it allows the user + to intersperse the options with the other arguments. + + As `getopt' works, it permutes the elements of ARGV so that, + when it is done, all the options precede everything else. Thus + all application programs are extended to handle flexible argument order. + + Setting the environment variable POSIXLY_CORRECT disables permutation. + Then the behavior is completely standard. + + GNU application programs can use a third alternative mode in which + they can distinguish the relative order of options and other arguments. */ + +#include "getopt.h" + +/* For communication from `getopt' to the caller. + When `getopt' finds an option that takes an argument, + the argument value is returned here. + Also, when `ordering' is RETURN_IN_ORDER, + each non-option ARGV-element is returned here. */ + +char *optarg = NULL; + +/* Index in ARGV of the next element to be scanned. + This is used for communication to and from the caller + and for communication between successive calls to `getopt'. + + On entry to `getopt', zero means this is the first call; initialize. + + When `getopt' returns EOF, this is the index of the first of the + non-option elements that the caller should itself scan. + + Otherwise, `optind' communicates from one call to the next + how much of ARGV has been scanned so far. */ + +/* XXX 1003.2 says this must be 1 before any call. */ +int optind = 0; + +/* The next char to be scanned in the option-element + in which the last option character we returned was found. + This allows us to pick up the scan where we left off. + + If this is zero, or a null string, it means resume the scan + by advancing to the next ARGV-element. */ + +static char *nextchar; + +/* Callers store zero here to inhibit the error message + for unrecognized options. */ + +int opterr = 1; + +/* Set to an option character which was unrecognized. + This must be initialized on some systems to avoid linking in the + system's own getopt implementation. */ + +int optopt = '?'; + +/* Describe how to deal with options that follow non-option ARGV-elements. + + If the caller did not specify anything, + the default is REQUIRE_ORDER if the environment variable + POSIXLY_CORRECT is defined, PERMUTE otherwise. + + REQUIRE_ORDER means don't recognize them as options; + stop option processing when the first non-option is seen. + This is what Unix does. + This mode of operation is selected by either setting the environment + variable POSIXLY_CORRECT, or using `+' as the first character + of the list of option characters. + + PERMUTE is the default. We permute the contents of ARGV as we scan, + so that eventually all the non-options are at the end. This allows options + to be given in any order, even with programs that were not written to + expect this. + + RETURN_IN_ORDER is an option available to programs that were written + to expect options and other ARGV-elements in any order and that care about + the ordering of the two. We describe each non-option ARGV-element + as if it were the argument of an option with character code 1. + Using `-' as the first character of the list of option characters + selects this mode of operation. + + The special argument `--' forces an end of option-scanning regardless + of the value of `ordering'. In the case of RETURN_IN_ORDER, only + `--' can cause `getopt' to return EOF with `optind' != ARGC. */ + +static enum +{ + REQUIRE_ORDER, PERMUTE, RETURN_IN_ORDER +} ordering; + +/* Value of POSIXLY_CORRECT environment variable. */ +static char *posixly_correct; + +#ifdef __GNU_LIBRARY__ +/* We want to avoid inclusion of string.h with non-GNU libraries + because there are many ways it can cause trouble. + On some systems, it contains special magic macros that don't work + in GCC. */ +#include <string.h> +#define my_index strchr +#else + +/* Avoid depending on library functions or files + whose names are inconsistent. */ + +char *getenv (); + +static char * +my_index (str, chr) + const char *str; + int chr; +{ + while (*str) + { + if (*str == chr) + return (char *) str; + str++; + } + return 0; +} + +/* If using GCC, we can safely declare strlen this way. + If not using GCC, it is ok not to declare it. */ +#ifdef __GNUC__ +/* Note that Motorola Delta 68k R3V7 comes with GCC but not stddef.h. + That was relevant to code that was here before. */ +#ifndef __STDC__ +/* gcc with -traditional declares the built-in strlen to return int, + and has done so at least since version 2.4.5. -- rms. */ +extern int strlen (const char *); +#endif /* not __STDC__ */ +#endif /* __GNUC__ */ + +#endif /* not __GNU_LIBRARY__ */ + +/* Handle permutation of arguments. */ + +/* Describe the part of ARGV that contains non-options that have + been skipped. `first_nonopt' is the index in ARGV of the first of them; + `last_nonopt' is the index after the last of them. */ + +static int first_nonopt; +static int last_nonopt; + +/* Exchange two adjacent subsequences of ARGV. + One subsequence is elements [first_nonopt,last_nonopt) + which contains all the non-options that have been skipped so far. + The other is elements [last_nonopt,optind), which contains all + the options processed since those non-options were skipped. + + `first_nonopt' and `last_nonopt' are relocated so that they describe + the new indices of the non-options in ARGV after they are moved. */ + +static void +exchange (argv) + char **argv; +{ + int bottom = first_nonopt; + int middle = last_nonopt; + int top = optind; + char *tem; + + /* Exchange the shorter segment with the far end of the longer segment. + That puts the shorter segment into the right place. + It leaves the longer segment in the right place overall, + but it consists of two parts that need to be swapped next. */ + + while (top > middle && middle > bottom) + { + if (top - middle > middle - bottom) + { + /* Bottom segment is the short one. */ + int len = middle - bottom; + register int i; + + /* Swap it with the top part of the top segment. */ + for (i = 0; i < len; i++) + { + tem = argv[bottom + i]; + argv[bottom + i] = argv[top - (middle - bottom) + i]; + argv[top - (middle - bottom) + i] = tem; + } + /* Exclude the moved bottom segment from further swapping. */ + top -= len; + } + else + { + /* Top segment is the short one. */ + int len = top - middle; + register int i; + + /* Swap it with the bottom part of the bottom segment. */ + for (i = 0; i < len; i++) + { + tem = argv[bottom + i]; + argv[bottom + i] = argv[middle + i]; + argv[middle + i] = tem; + } + /* Exclude the moved top segment from further swapping. */ + bottom += len; + } + } + + /* Update records for the slots the non-options now occupy. */ + + first_nonopt += (optind - last_nonopt); + last_nonopt = optind; +} + +/* Initialize the internal data when the first call is made. */ + +static const char * +_getopt_initialize (optstring) + const char *optstring; +{ + /* Start processing options with ARGV-element 1 (since ARGV-element 0 + is the program name); the sequence of previously skipped + non-option ARGV-elements is empty. */ + + first_nonopt = last_nonopt = optind = 1; + + nextchar = NULL; + + posixly_correct = getenv ("POSIXLY_CORRECT"); + + /* Determine how to handle the ordering of options and nonoptions. */ + + if (optstring[0] == '-') + { + ordering = RETURN_IN_ORDER; + ++optstring; + } + else if (optstring[0] == '+') + { + ordering = REQUIRE_ORDER; + ++optstring; + } + else if (posixly_correct != NULL) + ordering = REQUIRE_ORDER; + else + ordering = PERMUTE; + + return optstring; +} + +/* Scan elements of ARGV (whose length is ARGC) for option characters + given in OPTSTRING. + + If an element of ARGV starts with '-', and is not exactly "-" or "--", + then it is an option element. The characters of this element + (aside from the initial '-') are option characters. If `getopt' + is called repeatedly, it returns successively each of the option characters + from each of the option elements. + + If `getopt' finds another option character, it returns that character, + updating `optind' and `nextchar' so that the next call to `getopt' can + resume the scan with the following option character or ARGV-element. + + If there are no more option characters, `getopt' returns `EOF'. + Then `optind' is the index in ARGV of the first ARGV-element + that is not an option. (The ARGV-elements have been permuted + so that those that are not options now come last.) + + OPTSTRING is a string containing the legitimate option characters. + If an option character is seen that is not listed in OPTSTRING, + return '?' after printing an error message. If you set `opterr' to + zero, the error message is suppressed but we still return '?'. + + If a char in OPTSTRING is followed by a colon, that means it wants an arg, + so the following text in the same ARGV-element, or the text of the following + ARGV-element, is returned in `optarg'. Two colons mean an option that + wants an optional arg; if there is text in the current ARGV-element, + it is returned in `optarg', otherwise `optarg' is set to zero. + + If OPTSTRING starts with `-' or `+', it requests different methods of + handling the non-option ARGV-elements. + See the comments about RETURN_IN_ORDER and REQUIRE_ORDER, above. + + Long-named options begin with `--' instead of `-'. + Their names may be abbreviated as long as the abbreviation is unique + or is an exact match for some defined option. If they have an + argument, it follows the option name in the same ARGV-element, separated + from the option name by a `=', or else the in next ARGV-element. + When `getopt' finds a long-named option, it returns 0 if that option's + `flag' field is nonzero, the value of the option's `val' field + if the `flag' field is zero. + + The elements of ARGV aren't really const, because we permute them. + But we pretend they're const in the prototype to be compatible + with other systems. + + LONGOPTS is a vector of `struct option' terminated by an + element containing a name which is zero. + + LONGIND returns the index in LONGOPT of the long-named option found. + It is only valid when a long-named option has been found by the most + recent call. + + If LONG_ONLY is nonzero, '-' as well as '--' can introduce + long-named options. */ + +int +_getopt_internal (argc, argv, optstring, longopts, longind, long_only) + int argc; + char *const *argv; + const char *optstring; + const struct option *longopts; + int *longind; + int long_only; +{ + optarg = NULL; + + if (optind == 0) + optstring = _getopt_initialize (optstring); + + if (nextchar == NULL || *nextchar == '\0') + { + /* Advance to the next ARGV-element. */ + + if (ordering == PERMUTE) + { + /* If we have just processed some options following some non-options, + exchange them so that the options come first. */ + + if (first_nonopt != last_nonopt && last_nonopt != optind) + exchange ((char **) argv); + else if (last_nonopt != optind) + first_nonopt = optind; + + /* Skip any additional non-options + and extend the range of non-options previously skipped. */ + + while (optind < argc + && (argv[optind][0] != '-' || argv[optind][1] == '\0')) + optind++; + last_nonopt = optind; + } + + /* The special ARGV-element `--' means premature end of options. + Skip it like a null option, + then exchange with previous non-options as if it were an option, + then skip everything else like a non-option. */ + + if (optind != argc && !strcmp (argv[optind], "--")) + { + optind++; + + if (first_nonopt != last_nonopt && last_nonopt != optind) + exchange ((char **) argv); + else if (first_nonopt == last_nonopt) + first_nonopt = optind; + last_nonopt = argc; + + optind = argc; + } + + /* If we have done all the ARGV-elements, stop the scan + and back over any non-options that we skipped and permuted. */ + + if (optind == argc) + { + /* Set the next-arg-index to point at the non-options + that we previously skipped, so the caller will digest them. */ + if (first_nonopt != last_nonopt) + optind = first_nonopt; + return EOF; + } + + /* If we have come to a non-option and did not permute it, + either stop the scan or describe it to the caller and pass it by. */ + + if ((argv[optind][0] != '-' || argv[optind][1] == '\0')) + { + if (ordering == REQUIRE_ORDER) + return EOF; + optarg = argv[optind++]; + return 1; + } + + /* We have found another option-ARGV-element. + Skip the initial punctuation. */ + + nextchar = (argv[optind] + 1 + + (longopts != NULL && argv[optind][1] == '-')); + } + + /* Decode the current option-ARGV-element. */ + + /* Check whether the ARGV-element is a long option. + + If long_only and the ARGV-element has the form "-f", where f is + a valid short option, don't consider it an abbreviated form of + a long option that starts with f. Otherwise there would be no + way to give the -f short option. + + On the other hand, if there's a long option "fubar" and + the ARGV-element is "-fu", do consider that an abbreviation of + the long option, just like "--fu", and not "-f" with arg "u". + + This distinction seems to be the most useful approach. */ + + if (longopts != NULL + && (argv[optind][1] == '-' + || (long_only && (argv[optind][2] || !my_index (optstring, argv[optind][1]))))) + { + char *nameend; + const struct option *p; + const struct option *pfound = NULL; + int exact = 0; + int ambig = 0; + int indfound; + int option_index; + + for (nameend = nextchar; *nameend && *nameend != '='; nameend++) + /* Do nothing. */ ; + + /* Test all long options for either exact match + or abbreviated matches. */ + for (p = longopts, option_index = 0; p->name; p++, option_index++) + if (!strncmp (p->name, nextchar, nameend - nextchar)) + { + if (nameend - nextchar == (int) strlen (p->name)) + { + /* Exact match found. */ + pfound = p; + indfound = option_index; + exact = 1; + break; + } + else if (pfound == NULL) + { + /* First nonexact match found. */ + pfound = p; + indfound = option_index; + } + else + /* Second or later nonexact match found. */ + ambig = 1; + } + + if (ambig && !exact) + { + if (opterr) + fprintf (stderr, "%s: option `%s' is ambiguous\n", + argv[0], argv[optind]); + nextchar += strlen (nextchar); + optind++; + return '?'; + } + + if (pfound != NULL) + { + option_index = indfound; + optind++; + if (*nameend) + { + /* Don't test has_arg with >, because some C compilers don't + allow it to be used on enums. */ + if (pfound->has_arg) + optarg = nameend + 1; + else + { + if (opterr) + { + if (argv[optind - 1][1] == '-') + /* --option */ + fprintf (stderr, + "%s: option `--%s' doesn't allow an argument\n", + argv[0], pfound->name); + else + /* +option or -option */ + fprintf (stderr, + "%s: option `%c%s' doesn't allow an argument\n", + argv[0], argv[optind - 1][0], pfound->name); + } + nextchar += strlen (nextchar); + return '?'; + } + } + else if (pfound->has_arg == 1) + { + if (optind < argc) + optarg = argv[optind++]; + else + { + if (opterr) + fprintf (stderr, "%s: option `%s' requires an argument\n", + argv[0], argv[optind - 1]); + nextchar += strlen (nextchar); + return optstring[0] == ':' ? ':' : '?'; + } + } + nextchar += strlen (nextchar); + if (longind != NULL) + *longind = option_index; + if (pfound->flag) + { + *(pfound->flag) = pfound->val; + return 0; + } + return pfound->val; + } + + /* Can't find it as a long option. If this is not getopt_long_only, + or the option starts with '--' or is not a valid short + option, then it's an error. + Otherwise interpret it as a short option. */ + if (!long_only || argv[optind][1] == '-' + || my_index (optstring, *nextchar) == NULL) + { + if (opterr) + { + if (argv[optind][1] == '-') + /* --option */ + fprintf (stderr, "%s: unrecognized option `--%s'\n", + argv[0], nextchar); + else + /* +option or -option */ + fprintf (stderr, "%s: unrecognized option `%c%s'\n", + argv[0], argv[optind][0], nextchar); + } + nextchar = (char *) ""; + optind++; + return '?'; + } + } + + /* Look at and handle the next short option-character. */ + + { + char c = *nextchar++; + char *temp = my_index (optstring, c); + + /* Increment `optind' when we start to process its last character. */ + if (*nextchar == '\0') + ++optind; + + if (temp == NULL || c == ':') + { + if (opterr) + { + if (posixly_correct) + /* 1003.2 specifies the format of this message. */ + fprintf (stderr, "%s: illegal option -- %c\n", argv[0], c); + else + fprintf (stderr, "%s: invalid option -- %c\n", argv[0], c); + } + optopt = c; + return '?'; + } + if (temp[1] == ':') + { + if (temp[2] == ':') + { + /* This is an option that accepts an argument optionally. */ + if (*nextchar != '\0') + { + optarg = nextchar; + optind++; + } + else + optarg = NULL; + nextchar = NULL; + } + else + { + /* This is an option that requires an argument. */ + if (*nextchar != '\0') + { + optarg = nextchar; + /* If we end this ARGV-element by taking the rest as an arg, + we must advance to the next element now. */ + optind++; + } + else if (optind == argc) + { + if (opterr) + { + /* 1003.2 specifies the format of this message. */ + fprintf (stderr, "%s: option requires an argument -- %c\n", + argv[0], c); + } + optopt = c; + if (optstring[0] == ':') + c = ':'; + else + c = '?'; + } + else + /* We already incremented `optind' once; + increment it again when taking next ARGV-elt as argument. */ + optarg = argv[optind++]; + nextchar = NULL; + } + } + return c; + } +} + +int +getopt (argc, argv, optstring) + int argc; + char *const *argv; + const char *optstring; +{ + return _getopt_internal (argc, argv, optstring, + (const struct option *) 0, + (int *) 0, + 0); +} + +#endif /* _LIBC or not __GNU_LIBRARY__. */ + +#ifdef TEST + +/* Compile with -DTEST to make an executable for use in testing + the above definition of `getopt'. */ + +int +main (argc, argv) + int argc; + char **argv; +{ + int c; + int digit_optind = 0; + + while (1) + { + int this_option_optind = optind ? optind : 1; + + c = getopt (argc, argv, "abc:d:0123456789"); + if (c == EOF) + break; + + switch (c) + { + case '0': + case '1': + case '2': + case '3': + case '4': + case '5': + case '6': + case '7': + case '8': + case '9': + if (digit_optind != 0 && digit_optind != this_option_optind) + printf ("digits occur in two different argv-elements.\n"); + digit_optind = this_option_optind; + printf ("option %c\n", c); + break; + + case 'a': + printf ("option a\n"); + break; + + case 'b': + printf ("option b\n"); + break; + + case 'c': + printf ("option c with value `%s'\n", optarg); + break; + + case '?': + break; + + default: + printf ("?? getopt returned character code 0%o ??\n", c); + } + } + + if (optind < argc) + { + printf ("non-option ARGV-elements: "); + while (optind < argc) + printf ("%s ", argv[optind++]); + printf ("\n"); + } + + exit (0); +} + +#endif /* TEST */ diff --git a/src/benchmarks/cfrac/getopt.h b/src/benchmarks/cfrac/getopt.h new file mode 100644 index 0000000..7fc2cca --- /dev/null +++ b/src/benchmarks/cfrac/getopt.h @@ -0,0 +1,125 @@ +/* Declarations for getopt. + Copyright (C) 1989, 1990, 1991, 1992, 1993 Free Software Foundation, Inc. + + This program is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by the + Free Software Foundation; either version 2, or (at your option) any + later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. */ + +#ifndef _GETOPT_H +#define _GETOPT_H 1 + +#ifdef __cplusplus +extern "C" { +#endif + +/* For communication from `getopt' to the caller. + When `getopt' finds an option that takes an argument, + the argument value is returned here. + Also, when `ordering' is RETURN_IN_ORDER, + each non-option ARGV-element is returned here. */ + +extern char *optarg; + +/* Index in ARGV of the next element to be scanned. + This is used for communication to and from the caller + and for communication between successive calls to `getopt'. + + On entry to `getopt', zero means this is the first call; initialize. + + When `getopt' returns EOF, this is the index of the first of the + non-option elements that the caller should itself scan. + + Otherwise, `optind' communicates from one call to the next + how much of ARGV has been scanned so far. */ + +extern int optind; + +/* Callers store zero here to inhibit the error message `getopt' prints + for unrecognized options. */ + +extern int opterr; + +/* Set to an option character which was unrecognized. */ + +extern int optopt; + +/* Describe the long-named options requested by the application. + The LONG_OPTIONS argument to getopt_long or getopt_long_only is a vector + of `struct option' terminated by an element containing a name which is + zero. + + The field `has_arg' is: + no_argument (or 0) if the option does not take an argument, + required_argument (or 1) if the option requires an argument, + optional_argument (or 2) if the option takes an optional argument. + + If the field `flag' is not NULL, it points to a variable that is set + to the value given in the field `val' when the option is found, but + left unchanged if the option is not found. + + To have a long-named option do something other than set an `int' to + a compiled-in constant, such as set a value from `optarg', set the + option's `flag' field to zero and its `val' field to a nonzero + value (the equivalent single-letter option character, if there is + one). For long options that have a zero `flag' field, `getopt' + returns the contents of the `val' field. */ + +struct option +{ +#if __STDC__ + const char *name; +#else + char *name; +#endif + /* has_arg can't be an enum because some compilers complain about + type mismatches in all the code that assumes it is an int. */ + int has_arg; + int *flag; + int val; +}; + +/* Names for the values of the `has_arg' field of `struct option'. */ + +#define no_argument 0 +#define required_argument 1 +#define optional_argument 2 + +#if __STDC__ +/* Many other libraries have conflicting prototypes for getopt, with + differences in the consts, in stdlib.h. We used to try to prototype + it if __GNU_LIBRARY__ but that wasn't problem free either (I'm not sure + exactly why), and there is no particular need to prototype it. + We really shouldn't be trampling on the system's namespace at all by + declaring getopt() but that is a bigger issue. */ +extern int getopt (); + +extern int getopt_long (int argc, char *const *argv, const char *shortopts, + const struct option *longopts, int *longind); +extern int getopt_long_only (int argc, char *const *argv, + const char *shortopts, + const struct option *longopts, int *longind); + +/* Internal only. Users should not call this directly. */ +extern int _getopt_internal (int argc, char *const *argv, + const char *shortopts, + const struct option *longopts, int *longind, + int long_only); +#else /* not __STDC__ */ +extern int getopt (); +extern int getopt_long (); +extern int getopt_long_only (); + +extern int _getopt_internal (); +#endif /* not __STDC__ */ + +#ifdef __cplusplus +} +#endif + +#endif /* _GETOPT_H */ diff --git a/src/benchmarks/cfrac/itop.c b/src/benchmarks/cfrac/itop.c new file mode 100644 index 0000000..87d309a --- /dev/null +++ b/src/benchmarks/cfrac/itop.c @@ -0,0 +1,25 @@ +#include "pdefs.h" +#include "pcvt.h" +#include "precision.h" + +/* + * Integer to Precision + */ +precision itop(i) + register int i; +{ + register digitPtr uPtr; + register precision u = palloc(INTSIZE); + + if (u == pUndef) return u; + + if (u->sign = (i < 0)) i = -i; + uPtr = u->value; + do { + *uPtr++ = modBase(i); + i = divBase(i); + } while (i != 0); + + u->size = (uPtr - u->value); /* normalize */ + return presult(u); +} diff --git a/src/benchmarks/cfrac/ltop.c b/src/benchmarks/cfrac/ltop.c new file mode 100644 index 0000000..33eaea5 --- /dev/null +++ b/src/benchmarks/cfrac/ltop.c @@ -0,0 +1,25 @@ +#include "pdefs.h" +#include "pcvt.h" +#include "precision.h" + +/* + * Long to Precision + */ +precision ltop(l) + register long l; +{ + register digitPtr uPtr; + register precision u = palloc(LONGSIZE); + + if (u == pUndef) return u; + + if (u->sign = (l < 0L)) l = -l; + uPtr = u->value; + do { + *uPtr++ = modBase(l); + l = divBase(l); + } while (l != 0); + + u->size = (uPtr - u->value); /* normalize */ + return presult(u); +} diff --git a/src/benchmarks/cfrac/pabs.c b/src/benchmarks/cfrac/pabs.c new file mode 100644 index 0000000..674cf1b --- /dev/null +++ b/src/benchmarks/cfrac/pabs.c @@ -0,0 +1,22 @@ +#include "pdefs.h" /* private include file */ +#include "precision.h" /* public include file for forward refs */ +#include <string.h> + +/* + * absolute value + */ +precision pabs(u) + register precision u; +{ + register precision w; + + (void) pparm(u); + w = palloc(u->size); + if (w == pUndef) return w; + + w->sign = false; + (void) memcpy(w->value, u->value, u->size * sizeof(digit)); + + pdestroy(u); + return presult(w); +} diff --git a/src/benchmarks/cfrac/padd.c b/src/benchmarks/cfrac/padd.c new file mode 100644 index 0000000..62b93d5 --- /dev/null +++ b/src/benchmarks/cfrac/padd.c @@ -0,0 +1,94 @@ +#include "pdefs.h" +#include "precision.h" +#include <string.h> + +#ifdef ASM_16BIT +#include "asm16bit.h" +#endif + +/* + * Add + * + * This will work correctly if -0 is passed as input + */ +precision padd(u, v) + register precision v; +#ifndef ASM_16BIT + precision u; +{ + register digitPtr wPtr, uPtr, vPtr; +#else + register precision u; +{ + register digitPtr wPtr; + digitPtr uPtr; +#endif + precision w; /* function result */ + register accumulator temp; /* 0 <= temp < 2*base */ + register digit carry; /* 0 <= carry <= 1 */ +#ifdef ASM_16BIT + register int size; +#endif + + (void) pparm(u); + (void) pparm(v); + if (u->sign != v->sign) { /* Are we are actually subtracting? */ + w = pUndef; + if (v->sign) { + v->sign = !v->sign; /* can't generate -0 */ + pset(&w, psub(u, v)); + v->sign = !v->sign; + } else { + u->sign = !u->sign; /* can't generate -0 */ + pset(&w, psub(v, u)); + u->sign = !u->sign; + } + } else { + if (u->size < v->size) { /* u is always biggest number */ + w = u; u = v; v = w; + } + + w = palloc(u->size+1); /* there is at most one added digit */ + if (w == pUndef) return w; /* arguments not destroyed */ + + w->sign = u->sign; + + uPtr = u->value; + wPtr = w->value; +#ifndef ASM_16BIT + vPtr = v->value; + carry = 0; + do { /* Add digits in both args */ + temp = *uPtr++ + *vPtr++; /* 0 <= temp < 2*base-1 */ + temp += carry; /* 0 <= temp < 2*base */ + carry = divBase(temp); /* 0 <= carry <= 1 */ + *wPtr++ = modBase(temp); /* mod has positive args */ + } while (vPtr < v->value + v->size); + + while (uPtr < u->value + u->size) { /* propogate carry */ + temp = *uPtr++ + carry; + carry = divBase(temp); + *wPtr++ = modBase(temp); + } + *wPtr = carry; +#else + size = v->size; + temp = u->size - size; + carry = memaddw(wPtr, uPtr, v->value, size); + if (temp > 0) { + memcpy(wPtr + size, uPtr + size, temp * sizeof(digit)); + if (carry) { + carry = memincw(wPtr + size, temp); + } + } + wPtr[u->size] = carry; /* yes, I do mean u->size */ +#endif + if (carry == 0) { + --(w->size); + } + } + + pdestroy(u); + pdestroy(v); + return presult(w); +} diff --git a/src/benchmarks/cfrac/pcfrac.c b/src/benchmarks/cfrac/pcfrac.c new file mode 100644 index 0000000..2a0d032 --- /dev/null +++ b/src/benchmarks/cfrac/pcfrac.c @@ -0,0 +1,731 @@ +/* + * pcfrac: Implementation of the continued fraction factoring algoritm + * + * Every two digits additional appears to double the factoring time + * + * Written by Dave Barrett (barrett%asgard@boulder.Colorado.EDU) + */ +#include <string.h> +#include <stdio.h> +#include <math.h> + +#ifdef __STDC__ +#include <stdlib.h> +#endif +#include "precision.h" +#include "pfactor.h" + +extern int verbose; + +unsigned cfracNabort = 0; +unsigned cfracTsolns = 0; +unsigned cfracPsolns = 0; +unsigned cfracT2solns = 0; +unsigned cfracFsolns = 0; + +extern unsigned short primes[]; +extern unsigned primesize; + +typedef unsigned *uptr; +typedef uptr uvec; +typedef unsigned char *solnvec; +typedef unsigned char *BitVector; + +typedef struct SolnStruc { + struct SolnStruc *next; + precision x; /* lhs of solution */ + precision t; /* last large prime remaining after factoring */ + precision r; /* accumulated root of pm for powers >= 2 */ + BitVector e; /* bit vector of factorbase powers mod 2 */ +} Soln; + +typedef Soln *SolnPtr; + +#define BPI(x) ((sizeof x[0]) << 3) + +void setBit(bv, bno, value) + register BitVector bv; + register unsigned bno, value; +{ + bv += bno / BPI(bv); + bno %= BPI(bv); + *bv |= ((value != 0) << bno); +} + +unsigned getBit(bv, bno) + register BitVector bv; + register unsigned bno; +{ + register unsigned res; + + bv += bno / BPI(bv); + bno %= BPI(bv); + res = (*bv >> bno) & 1; + + return res; +} + +BitVector newBitVector(value, size) + register solnvec value; + unsigned size; +{ + register BitVector res; + register solnvec vp = value + size; + unsigned msize = ((size + BPI(res)-1) / BPI(res)) * sizeof res[0]; + +#ifdef BWGC + res = (BitVector) gc_malloc(msize); +#else + res = (BitVector) malloc(msize); +#endif + if (res == (BitVector) 0) return res; + + memset(res, '\0', msize); + do { + if (*--vp) { + setBit(res, vp - value, (unsigned) *vp); + } + } while (vp != value); + return res; +} + +void printSoln(stream, prefix, suffix, pm, m, p, t, e) + FILE *stream; + char *prefix, *suffix; + register unsigned *pm, m; + precision p, t; + register solnvec e; +{ + register unsigned i, j = 0; + + for (i = 1; i <= m; i++) j += (e[i] != 0); + + fputs(prefix, stream); + fputp(stream, pparm(p)); fputs(" = ", stream); + if (*e & 1) putc('-', stream); else putc('+', stream); + fputp(stream, pparm(t)); + + if (j >= 1) fputs(" *", stream); + do { + e++; + switch (*e) { + case 0: break; + case 1: fprintf(stream, " %u", *pm); break; + default: + fprintf(stream, " %u^%u", *pm, (unsigned) *e); + } + pm++; + } while (--m); + + fputs(suffix, stream); + fflush(stream); + pdestroy(p); pdestroy(t); +} + +/* + * Combine two solutions + */ +void combineSoln(x, t, e, pm, m, n, bp) + precision *x, *t, n; + uvec pm; + register solnvec e; + unsigned m; + SolnPtr bp; +{ + register unsigned j; + + (void) pparm(n); + if (bp != (SolnPtr) 0) { + pset(x, pmod(pmul(bp->x, *x), n)); + pset(t, pmod(pmul(bp->t, *t), n)); + pset(t, pmod(pmul(bp->r, *t), n)); + e[0] += getBit(bp->e, 0); + } + e[0] &= 1; + for (j = 1; j <= m; j++) { + if (bp != (SolnPtr) 0) e[j] += getBit(bp->e, j); + if (e[j] > 2) { + pset(t, pmod(pmul(*t, + ppowmod(utop(pm[j-1]), utop((unsigned) e[j]>>1), n)), n)); + e[j] &= 1; + } else if (e[j] == 2) { + pset(t, pmod(pmul(*t, utop(pm[j-1])), n)); + e[j] = 0; + } + } + pdestroy(n); +} + +/* + * Create a normalized solution structure from the given inputs + */ +SolnPtr newSoln(n, pm, m, next, x, t, e) + precision n; + unsigned m; + uvec pm; + SolnPtr next; + precision x, t; + solnvec e; +{ +#ifdef BWGC + SolnPtr bp = (SolnPtr) gc_malloc(sizeof (Soln)); +#else + SolnPtr bp = (SolnPtr) malloc(sizeof (Soln)); +#endif + + if (bp != (SolnPtr) 0) { + bp->next = next; + bp->x = pnew(x); + bp->t = pnew(t); + bp->r = pnew(pone); + /* + * normalize e, put the result in bp->r and e + */ + combineSoln(&bp->x, &bp->r, e, pm, m, pparm(n), (SolnPtr) 0); + bp->e = newBitVector(e, m+1); /* BitVector */ + } + + pdestroy(n); + return bp; +} + +void freeSoln(p) + register SolnPtr p; +{ + if (p != (SolnPtr) 0) { + pdestroy(p->x); + pdestroy(p->t); + pdestroy(p->r); +#ifndef IGNOREFREE + free(p->e); /* BitVector */ + free(p); +#endif + } +} + +void freeSolns(p) + register SolnPtr p; +{ + register SolnPtr l; + + while (p != (SolnPtr) 0) { + l = p; + p = p->next; + freeSoln(l); + } +} + +SolnPtr findSoln(sp, t) + register SolnPtr sp; + precision t; +{ + (void) pparm(t); + while (sp != (SolnPtr) 0) { + if peq(sp->t, t) break; + sp = sp->next; + } + pdestroy(t); + return sp; +} + +static unsigned pcfrac_k = 1; +static unsigned pcfrac_m = 0; +static unsigned pcfrac_aborts = 3; + +/* + * Structure for early-abort. Last entry must be <(unsigned *) 0, uUndef> + */ +typedef struct { + unsigned *pm; /* bound check occurs before using this pm entry */ + precision bound; /* max allowable residual to prevent abort */ +} EasEntry; + +typedef EasEntry *EasPtr; + +void freeEas(eas) + EasPtr eas; +{ + register EasPtr ep = eas; + + if (ep != (EasPtr) 0) { + while (ep->pm != 0) { + pdestroy(ep->bound); + ep++; + } +#ifndef IGNOREFREE + free(eas); +#endif + } +} + +/* + * Return Pomerance's L^alpha (L = exp(sqrt(log(n)*log(log(n))))) + */ +double pomeranceLpow(n, y) + double n; + double y; +{ + double lnN = log(n); + double res = exp(y * sqrt(lnN * log(lnN))); + return res; +} + +/* + * Pomerance's value 'a' from page 122 "of Computational methods in Number + * Theory", part 1, 1982. + */ +double cfracA(n, aborts) + double n; + unsigned aborts; +{ + return 1.0 / sqrt(6.0 + 2.0 / ((double) aborts + 1.0)); +} + +/* + * Returns 1 if a is a quadratic residue of odd prime p, + * p-1 if non-quadratic residue, 0 otherwise (gcd(a,p)<>1) + */ +#define plegendre(a,p) ppowmod(a, phalf(psub(p, pone)), p) + +/* + * Create a table of small primes of quadratic residues of n + * + * Input: + * n - the number to be factored + * k - the multiple of n to be factored + * *m - the number of primes to generate (0 to select best) + * aborts - the number of early aborts + * + * Assumes that plegendre # 0, for if it is, that pm is a factor of n. + * This algorithm already assumes you've used trial division to eliminate + * all of these! + * + * Returns: the list of primes actually generated (or (unsigned *) 0 if nomem) + * *m changed to reflect the number of elements in the list + */ +uvec pfactorbase(n, k, m, aborts) + precision n; + unsigned k; + unsigned *m, aborts; +{ + double dn, a; + register unsigned short *primePtr = primes; + register unsigned count = *m; + unsigned maxpm = primes[primesize-1]; + unsigned *res = (uvec) 0, *pm; + precision nk = pnew(pmul(pparm(n), utop(k))); + + if (*m == 0) { /* compute a suitable m */ + dn = ptod(nk); + a = cfracA(dn, aborts); + maxpm = (unsigned) (pomeranceLpow(dn, a) + 0.5); + do { + if ((unsigned) *primePtr++ >= maxpm) break; + } while ((unsigned) *primePtr != 1); + count = primePtr - primes; + primePtr = primes; + } + /* + * This m tends to be too small for small n, and becomes closer to + * optimal as n goes to infinity. For 30 digits, best m is ~1.5 this m. + * For 38 digits, best m appears to be ~1.15 this m. It's appears to be + * better to guess too big than too small. + */ +#ifdef BWGC + res = (uvec) gc_malloc(count * sizeof (unsigned)); +#else + res = (uvec) malloc(count * sizeof (unsigned)); +#endif + if (res == (uvec) 0) goto doneMk; + + pm = res; + *pm++ = (unsigned) *primePtr++; /* two is first element */ + count = 1; + if (count != *m) do { + if (picmp(plegendre(nk, utop((unsigned) *primePtr)), 1) <= 0) { /* 0,1 */ + *pm++ = *primePtr; + count++; + if (count == *m) break; + if ((unsigned) *primePtr >= maxpm) break; + } + ++primePtr; + } while (*primePtr != 1); + *m = count; + +doneMk: + pdestroy(nk); + pdestroy(n); + return res; +} + +/* + * Compute Pomerance's early-abort-stragegy + */ +EasPtr getEas(n, k, pm, m, aborts) + precision n; + unsigned k, *pm, m, aborts; +{ + double x = 1.0 / ((double) aborts + 1.0); + double a = 1.0 / sqrt(6.0 + 2.0 * x); + double ax = a * x, csum = 1.0, tia = 0.0; + double dn, dpval, dbound, ci; + unsigned i, j, pval; + + precision bound = pUndef; + EasPtr eas; + + if (aborts == 0) return (EasPtr) 0; + +#ifdef BWGC + eas = (EasPtr) gc_malloc((aborts+1) * sizeof (EasEntry)); +#else + eas = (EasPtr) malloc((aborts+1) * sizeof (EasEntry)); +#endif + if (eas == (EasPtr) 0) return eas; + + dn = ptod(pmul(utop(k), pparm(n))); /* should this be n ? */ + for (i = 1; i <= aborts; i++) { + eas[i-1].pm = (unsigned *) 0; + eas[i-1].bound = pUndef; + tia += ax; + ci = 4.0 * tia * tia / (double) i; + csum -= ci; + dpval = pomeranceLpow(dn, tia); + dbound = pow(dn, 0.5 * csum); + + pval = (unsigned) (dpval + 0.5); + pset(&bound, dtop(dbound)); + for (j = 0; j < m; j++) { + if (pm[j] >= pval) goto foundpm; + } + break; +foundpm: + if (verbose > 1) { + printf(" Abort %u on p = %u (>=%u) and q > ", i, pm[j], pval); + fputp(stdout, bound); putc('\n', stdout); + fflush(stdout); + } + eas[i-1].pm = &pm[j]; + pset(&eas[i-1].bound, bound); + } + eas[i-1].pm = (unsigned *) 0; + eas[i-1].bound = pUndef; + + pdestroy(bound); + pdestroy(n); + + return eas; +} + +/* + * Factor the argument Qn using the primes in pm. Result stored in exponent + * vector e, and residual factor, f. If non-null, eas points to a list of + * early-abort boundaries. + * + * e is set to the number of times each prime in pm divides v. + * + * Returns: + * -2 - if factoring aborted because of early abort + * -1 - factoring failed + * 0 - if result is a "partial" factoring + * 1 - normal return (a "full" factoring) + */ +int pfactorQ(f, t, pm, e, m, eas) + precision *f; + precision t; + register unsigned *pm; + register solnvec e; + register unsigned m; + EasEntry *eas; +{ + precision maxp = pUndef; + unsigned maxpm = pm[m-1], res = 0; + register unsigned *pp = (unsigned *) 0; + + (void) pparm(t); + + if (eas != (EasEntry *) 0) { + pp = eas->pm; + pset(&maxp, eas->bound); + } + + memset((char *) e, '\0', m * sizeof e[0]); /* looks slow here, but isn't */ + + while (peven(t)) { /* assume 2 1st in pm; save time */ + pset(&t, phalf(t)); + (*e)++; + } + --m; + + do { + e++; pm++; + if (pm == pp) { /* check for early abort */ + if (pgt(t, maxp)) { + res = -2; + goto gotSoln; + } + eas++; + pp = eas->pm; + pset(&maxp, eas->bound); + } + while (pimod(t, (int) *pm) == 0) { + pset(&t, pidiv(t, (int) *pm)); + (*e)++; + } + } while (--m != 0); + res = -1; + if (picmp(t, 1) == 0) { + res = 1; + } else if (picmp(pidiv(t, (int) *pm), maxpm) <= 0) { +#if 0 /* it'll never happen; Honest! If so, pm is incorrect. */ + if (picmp(t, maxpm) <= 0) { + fprintf(stderr, "BUG: partial with t < maxpm! t = "); + fputp(stderr, t); putc('\n', stderr); + } +#endif + res = 0; + } +gotSoln: + pset(f, t); + pdestroy(t); pdestroy(maxp); + return res; +} + +/* + * Attempt to factor n using continued fractions (n must NOT be prime) + * + * n - The number to attempt to factor + * maxCount - if non-null, points to the maximum number of iterations to try. + * + * This algorithm may fail if it get's into a cycle or maxCount expires + * If failed, n is returned. + * + * This algorithm will loop indefinitiely in n is prime. + * + * This an implementation of Morrison and Brillhart's algorithm, with + * Pomerance's early abort strategy, and Knuth's method to find best k. + */ +precision pcfrac(n, maxCount) + precision n; + unsigned *maxCount; +{ + unsigned k = pcfrac_k; + unsigned m = pcfrac_m; + unsigned aborts = pcfrac_aborts; + SolnPtr oddt = (SolnPtr) 0, sp, bp, *b; + EasPtr eas = (EasPtr) 0; + uvec pm = (uvec) 0; + solnvec e = (solnvec) 0; + unsigned bsize, s = 0, count = 0; + register unsigned h, j; + int i; + + precision t = pUndef, + r = pUndef, twog = pUndef, u = pUndef, lastU = pUndef, + Qn = pUndef, lastQn = pUndef, An = pUndef, lastAn = pUndef, + x = pUndef, y = pUndef, qn = pUndef, rn = pUndef; + + precision res = pnew(pparm(n)); /* default res is argument */ + + pm = pfactorbase(n, k, &m, aborts); /* m may have been reduced */ + + bsize = (m+2) * sizeof (SolnPtr); +#ifdef BWGC + b = (SolnPtr *) gc_malloc(bsize); +#else + b = (SolnPtr *) malloc(bsize); +#endif + if (b == (SolnPtr *) 0) goto nomem; + +#ifdef BWGC + e = (solnvec) gc_malloc((m+1) * sizeof e[0]); +#else + e = (solnvec) malloc((m+1) * sizeof e[0]); +#endif + if (e == (solnvec) 0) { +nomem: + errorp(PNOMEM, "pcfrac", "out of memory"); + goto bail; + } + + memset(b, '\0', bsize); /* F1: Initialize */ + if (maxCount != (unsigned *) 0) count = *maxCount; + cfracTsolns = cfracPsolns = cfracT2solns = cfracFsolns = cfracNabort = 0; + + eas = getEas(n, k, pm, m, aborts); /* early abort strategy */ + + if (verbose > 1) { + fprintf(stdout, "factorBase[%u]: ", m); + for (j = 0; j < m; j++) { + fprintf(stdout, "%u ", pm[j]); + } + putc('\n', stdout); + fflush(stdout); + } + + pset(&t, pmul(utop(k), n)); /* E1: Initialize */ + pset(&r, psqrt(t)); /* constant: sqrt(k*n) */ + pset(&twog, padd(r, r)); /* constant: 2*sqrt(k*n) */ + pset(&u, twog); /* g + Pn */ + pset(&lastU, twog); + pset(&Qn, pone); + pset(&lastQn, psub(t, pmul(r, r))); + pset(&An, pone); + pset(&lastAn, r); + pset(&qn, pzero); + + do { +F2: + do { + if (--count == 0) goto bail; + pset(&t, An); + pdivmod(padd(pmul(qn, An), lastAn), n, pNull, &An); /* (5) */ + pset(&lastAn, t); + + pset(&t, Qn); + pset(&Qn, padd(pmul(qn, psub(lastU, u)), lastQn)); /* (7) */ + pset(&lastQn, t); + + pset(&lastU, u); + + pset(&qn, pone); /* eliminate 40% of next divmod */ + pset(&rn, psub(u, Qn)); + if (pge(rn, Qn)) { + pdivmod(u, Qn, &qn, &rn); /* (4) */ + } + pset(&u, psub(twog, rn)); /* (6) */ + s = 1-s; + + e[0] = s; + i = pfactorQ(&t, Qn, pm, &e[1], m, eas); /* E3: Factor Qn */ + if (i < -1) cfracNabort++; + /* + * We should (but don't, yet) check to see if we can get a + * factor by a special property of Qn = 1 + */ + if (picmp(Qn, 1) == 0) { + errorp(PDOMAIN, "pcfrac", "cycle encountered; pick bigger k"); + goto bail; /* we ran into a cycle; give up */ + } + } while (i < 0); /* while not a solution */ + + pset(&x, An); /* End of Algorithm E; we now have solution: <x,t,e> */ + + if (i == 0) { /* if partial */ + if ((sp = findSoln(oddt, t)) == (SolnPtr) 0) { + cfracTsolns++; + if (verbose >= 2) putc('.', stderr); + if (verbose > 3) printSoln(stdout, "Partial: ","\n", pm,m,x,t,e); + oddt = newSoln(n, pm, m, oddt, x, t, e); + goto F2; /* wait for same t to occur again */ + } + if (verbose > 3) printSoln(stdout, "Partial: ", " -->\n", pm,m,x,t,e); + pset(&t, pone); /* take square root */ + combineSoln(&x, &t, e, pm, m, n, sp); + cfracT2solns++; + if (verbose) putc('#', stderr); + if (verbose > 2) printSoln(stdout, "PartSum: ", "", pm, m, x, t, e); + } else { + combineSoln(&x, &t, e, pm, m, n, (SolnPtr) 0); /* normalize */ + cfracPsolns++; + if (verbose) putc('*', stderr); + if (verbose > 2) printSoln(stdout, "Full: ", "", pm, m, x, t, e); + } + + /* + * Crude gaussian elimination. We should be more effecient about the + * binary vectors here, but this works as it is. + * + * At this point, t must be pone, or t occurred twice + * + * Loop Invariants: e[0:h] even + * t^2 is a product of squares of primes + * b[h]->e[0:h-1] even and b[h]->e[h] odd + */ + h = m+1; + do { + --h; + if (e[h]) { /* F3: Search for odd */ + bp=b[h]; + if (bp == (SolnPtr) 0) { /* F4: Linear dependence? */ + if (verbose > 3) { + printSoln(stdout, " -->\nFullSum: ", "", pm, m, x, t, e); + } + if (verbose > 2) putc('\n', stdout); + b[h] = newSoln(n, pm, m, bp, x, t, e); + goto F2; + } + combineSoln(&x, &t, e, pm, m, n, bp); + } + } while (h != 0); + /* + * F5: Try to Factor: We have a perfect square (has about 50% chance) + */ + cfracFsolns++; + pset(&y, t); /* t is already sqrt'd */ + + switch (verbose) { + case 0: break; + case 1: putc('/', stderr); break; + case 2: putc('\n', stderr); break; + default: ; + putc('\n', stderr); + printSoln(stdout, " -->\nSquare: ", "\n", pm, m, x, t, e); + fputs("x,y: ", stdout); + fputp(stdout, x); fputs(" ", stdout); + fputp(stdout, y); putc('\n', stdout); + fflush(stdout); + } + } while (peq(x, y) || peq(padd(x, y), n)); /* while x = +/- y */ + + pset(&res, pgcd(padd(x, y), n)); /* factor found at last */ + + /* + * Check for degenerate solution. This shouldn't happen. Detects bugs. + */ + if (peq(res, pone) || peq(res, n)) { + fputs("Error! Degenerate solution:\n", stdout); + fputs("x,y: ", stdout); + fputp(stdout, x); fputs(" ", stdout); + fputp(stdout, y); putc('\n', stdout); + fflush(stdout); + abort(); + } + +bail: + if (maxCount != (unsigned *) 0) *maxCount = count; + + if (b != (SolnPtr *) 0) for (j = 0; j <= m; j++) freeSoln(b[j]); + freeEas(eas); + freeSolns(oddt); +#ifndef IGNOREFREE + free(e); + free(pm); +#endif + + pdestroy(r); pdestroy(twog); pdestroy(u); pdestroy(lastU); + pdestroy(Qn); pdestroy(lastQn); pdestroy(An); pdestroy(lastAn); + pdestroy(x); pdestroy(y); pdestroy(qn); pdestroy(rn); + pdestroy(t); pdestroy(n); + + return presult(res); +} + +/* + * Initialization for pcfrac factoring method + * + * k - An integer multiplier to use for n (k must be < n) + * you can use findk to get a good value. k should be squarefree + * m - The number of primes to use in the factor base + * aborts - the number of early aborts to use + */ +int pcfracInit(m, k, aborts) + unsigned m; + unsigned k; + unsigned aborts; +{ + pcfrac_m = m; + pcfrac_k = k; + pcfrac_aborts = aborts; + return 1; +} diff --git a/src/benchmarks/cfrac/pcmp.c b/src/benchmarks/cfrac/pcmp.c new file mode 100644 index 0000000..2c8e0b8 --- /dev/null +++ b/src/benchmarks/cfrac/pcmp.c @@ -0,0 +1,68 @@ +#include "pdefs.h" +#include "precision.h" + +/* + * Compare to zero (normalization not assumed) + * + * Returns same as pcmp(u, 0); + */ +int pcmpz(u) + register precision u; +{ + register digitPtr uPtr; + register int i; + + (void) pparm(u); + i = 0; + uPtr = u->value; + do { + if (*uPtr++ != 0) { + if (u->sign) i = -1; else i = 1; + break; + } + } while (uPtr < u->value + u->size); + + pdestroy(u); + return i; +} + +/* + * Compare u to v. + * + * Return: < 0 if u < v + * = 0 if u = v + * > 0 if u > v + * + * This routine is the one that assumes results are normalized! + * - no leading 0's + * - no negative 0 + */ +int pcmp(u, v) + precision u, v; +{ + register digitPtr uPtr, vPtr; + register int i; /* should be bigger than posit */ + + (void) pparm(u); + (void) pparm(v); + if (u->sign != v->sign) { + if (u->sign) i = -1; else i = 1; + } else { + i = u->size - v->size; + if (i == 0) { + uPtr = u->value + u->size; + vPtr = v->value + v->size; + do { + if (*--uPtr != *--vPtr) break; + } while (vPtr > v->value); + if (*uPtr > *vPtr) i = 1; + else if (*uPtr < *vPtr) i = -1; + } + + if (u->sign) i = -i; + } + + pdestroy(u); + pdestroy(v); + return i; +} diff --git a/src/benchmarks/cfrac/pconst.c b/src/benchmarks/cfrac/pconst.c new file mode 100644 index 0000000..89b63a7 --- /dev/null +++ b/src/benchmarks/cfrac/pconst.c @@ -0,0 +1,46 @@ +#include "pdefs.h" + +static precisionType pzeroConst = { +#ifndef BWGC + (short) 1, /* refcount (read/write!) */ +#endif + (posit) 1, /* size */ + (posit) 1, /* digitcount */ + (boolean) 0, /* sign */ + { (digit) 0 } /* value */ +}; + +static precisionType poneConst = { +#ifndef BWGC + (short) 1, /* refcount (read/write!) */ +#endif + (posit) 1, /* size */ + (posit) 1, /* digitcount */ + (boolean) 0, /* sign */ + { (digit) 1 } /* value */ +}; + +static precisionType ptwoConst = { +#ifndef BWGC + (short) 1, /* refcount (read/write!) */ +#endif + (posit) 1, /* size */ + (posit) 1, /* digitcount */ + (boolean) 0, /* sign */ + { (digit) 2 } /* value */ +}; + +static precisionType p_oneConst = { +#ifndef BWGC + (short) 1, /* refcount (read/write!) */ +#endif + (posit) 1, /* size */ + (posit) 1, /* digitcount */ + (boolean) 1, /* sign */ + { (digit) 1 } /* value */ +}; + +precision pzero = &pzeroConst; /* zero */ +precision pone = &poneConst; /* one */ +precision ptwo = &ptwoConst; /* two */ +precision p_one = &p_oneConst; /* negative one */ diff --git a/src/benchmarks/cfrac/pcvt.h b/src/benchmarks/cfrac/pcvt.h new file mode 100644 index 0000000..e2dd724 --- /dev/null +++ b/src/benchmarks/cfrac/pcvt.h @@ -0,0 +1,32 @@ +/* + * Machine dependent file used for conversion routines + * (e.g. atop, ptoa, itop, ptoi, etc) + */ + +/* + * For pXtop: (X = {i,u,l,ul,d}) + */ +#define INTSIZE 2 /* floor(log[Base](2*(MAXINT+1))) */ +#define LONGSIZE 2 /* floor(log[Base](2*(MAXLONG+1))) */ +#define DOUBLESIZE 129 /* double precision size = log[base](HUGE) */ + +/* + * For ptoX + */ +#define MAXINT (int) ((unsigned int) ~0 >> 1) +#define MAXLONG (long) ((unsigned long) ~0 >> 1) +#define MAXUNSIGNED (~ (unsigned int) 0) +#define MAXUNSIGNEDLONG (~ (unsigned long) 0L) + +#define MAXACC (~ (accumulator) 0) + +/* + * aBase - Ascii base (ptoa) + * There are aDigits Ascii digits per precision digit, pDigits. + * At least one of { aDigits, pDigits } <= (MAXINT / the maximum posit value). + */ +#define aDigits 525 /* aDigits/pDigits >~= log[aBase](Base) */ +#define pDigits 109 /* 525/109=4.8165>log[10](65536)=4.816479931 */ +#define aBase 10 /* string conversion base */ +#define aDigit 1000000000 /* must be power of aBase < MAXINT */ +#define aDigitLog 9 /* log[aBase] of aDigit */ diff --git a/src/benchmarks/cfrac/pdefs.h b/src/benchmarks/cfrac/pdefs.h new file mode 100644 index 0000000..9c43099 --- /dev/null +++ b/src/benchmarks/cfrac/pdefs.h @@ -0,0 +1,138 @@ +/* + * +------------------------------------------------------------------+ + * | Private Math Library Definitions | + * +------------------------------------------------------------------+ + */ +/* + * Optional assembly language + */ +#ifdef ASM +#include "machineop.h" /* 16-bit integer machine operations */ +#define uModDiv(n, d, qp) umoddiv16(n, d, qp) /* slight help */ +#else +#define uModDiv(n, d, qp) (*(qp) = (n) / (d), (n) % (d)) +#endif +#define uMul(u, v) ((u) * (v)) /* fast enough */ + +/* + * Optional alternate memory allocator + */ + +#ifndef MYALLOC + +# if defined(BWGC) +extern char *gc_malloc_atomic(); +#define allocate(size) (char *) gc_malloc_atomic(size) +# elif defined(CUSTOM_MALLOC) +#define allocate(size) CUSTOM_MALLOC(size) +# else +/* extern char *malloc(); */ +#define allocate(size) (char *) malloc(size) +# endif + +#ifdef IGNOREFREE +#define deallocate(p) {}; +# elif defined(CUSTOM_FREE) +#define deallocate(p) CUSTOM_FREE(p) +#else +/* +extern int free(); +*/ +#define deallocate(p) free(p) +#endif + +#else +extern char *allocate(); +extern void deallocate(); +#endif + +/* + * These next four types are used only used in this include file + */ +#include <stdint.h> +typedef unsigned char u8; /* 8 bits */ +typedef uint16_t u16; /* 16 bits */ +typedef uint32_t u32; /* 32 bits */ +typedef u8 boolean; /* 1 bit */ + +#define BASE 65536 /* Base * (Base-1) <= MAXINT */ + +/* + * Operations on Base (unsigned math) + */ +#define modBase(u) ((u) & 0xffff) /* remainder on Base */ +#define divBase(u) ((u) >> 16) /* divide by Base */ +#define mulBase(u) ((u) << 16) /* multiply by Base */ + +/* + * The type of a variable used to store intermediate results. + * This should be the most efficient unsigned int on your machine. + */ +typedef u32 accumulator; /* 0..(Base * Base) - 1 */ + +/* + * The type of a single digit + */ +typedef u16 digit; /* 0..Base-1 */ + +/* + * The type of a digit index (the largest number of digits - 1) + * Determines the maximum representable precision (not usually changed) + */ +typedef u16 posit; /* 0..size */ + +typedef unsigned short prefc; /* in precision.h also */ +/* + * End of area which needs to be modified + */ + +#define false 0 +#define true 1 + +typedef digit digitString[1]; /* dummy array type */ +typedef digit *digitPtr; + +/* + * A normalized integer has the following attributes: + * -0 cannot occur + * all digits >= size assumed to be 0. (no leading zero's) + * size > 0 + */ +typedef struct { +#ifndef BWGC + prefc refcount; /* reference count (must be 1st [for pref]) */ +#endif + posit alloc; /* allocated size */ + posit size; /* number of digits */ + boolean sign; /* sign: TRUE negative */ + digitString value; +} precisionType; + +typedef precisionType *precision; + +/* + * Overlay for cache of precisions + */ +typedef struct { + precision next; /* next item in list */ + short count; /* number of items in this sublist */ +} cacheType; + +typedef cacheType *cachePtr; +/* + * Maximum total memory consumed by cache = + * LIMIT * (1 + SIZE * (PrecisionSize + sizeof(digit) * (SIZE-1) / 2)) + */ +#ifndef CACHESIZE +#define CACHESIZE 32 /* size of allocation cache */ +#endif +#define CACHELIMIT 128 /* Determines max mem used by cache */ + +#define PrecisionSize (sizeof(precisionType) - sizeof(digitString)) + +/* + * Function definitions are all in the global include file "mathdefs.h". + */ +extern precision palloc(); /* semi-private */ +extern int pfree(); /* semi-private */ +extern void pnorm(); /* semi-private */ diff --git a/src/benchmarks/cfrac/pdivmod.c b/src/benchmarks/cfrac/pdivmod.c new file mode 100644 index 0000000..ce4a24b --- /dev/null +++ b/src/benchmarks/cfrac/pdivmod.c @@ -0,0 +1,315 @@ +#include "pdefs.h" +#include "precision.h" + +#ifdef DEBUG +#include <stdio.h> +#endif + +#ifdef ASM_16BIT +#include "asm16bit.h" +#endif + +/* + * Divide u (dividend) by v (divisor); If non-null, qp and rp are set to + * quotient and remainder. The result returned will be *qp, unless qp is + * NULL, then *rp will be returned if non-null, otherwise pUndef is returned. + * + * Produce: + * + * q (quotient) = u div v (v != 0) + * truncation is toward zero + * + * r (remainder) = u mod v + * = u - u div v * v (v != 0) + * = u (v == 0) + * ( e.g. u == q*v + r ) + * remainder has same sign and dividend + * + * Note: this has opposite convention than the C standard div fuction, + * but the same convention of the typical C "/" operator + * It is also inconvienient for the mod function. + */ +/* + * This algorithm is taken almost verbatum from Knuth Vol 2. + * Please note the following trivial(?) array index + * transformations (since MSD to LSD order is reversed): + * + * q[0..m] to Q[0..m] thus q[i] == Q[m-i] + * r[1..n] R[0..n-1] r[i] == R[n+1-i] + * u[0..m+n] w[0..m+n] u[i] == w[m+n-i] + * v[1..n] x[0..n-1] v[i] == x[n-i] + * + * let N == n - 1 so that n == N + 1 thus: + * + * q[0..m] to Q[0..m] thus q[i] == Q[m-i] + * r[1..n] R[0..N] r[i] == R[N+2-i] + * u[0..m+n] w[0..m+N+1] u[i] == w[m+N+1-i] + * v[1..n] x[0..N] v[i] == x[N+1-i] + */ + +/* + * Note: Be very observent of the usage of uPtr, and vPtr. + * They are used to point to u, v, w, q or r as necessary. + */ +precision pdivmod(u, v, qp, rp) + precision u, v, *qp, *rp; +{ + register digitPtr uPtr, vPtr, qPtr, LastPtr; + + register accumulator temp; /* 0 <= temp < base^2 */ + register digit carry; /* 0 <= carry < 2 */ + register digit hi; /* 0 <= hi < base */ + + register posit n, m; + digit d; /* 0 <= d < base */ + digit qd; /* 0 <= qd < base */ +#ifdef DEBUG + int i; +#endif + + precision q, r, w; /* quotient, remainder, temporary */ + + n = v->size; /* size of v and r */ + + (void) pparm(u); + (void) pparm(v); + if (u->size < n) { + q = pUndef; + r = pUndef; + pset(&q, pzero); + pset(&r, u); + goto done; + } + + m = u->size - n; + + uPtr = u->value + m + n; + vPtr = v->value + n; + + q = palloc(m + 1); + if (q == pUndef) return q; + + q->sign = (u->sign != v->sign); /* can generate -0 */ + + r = palloc(n); + if (r == pUndef) { + pdestroy(q); + return r; + } + r->sign = u->sign; +/* + * watch out! does this function return: q=floor(a/b) or trunc(a/b)? + * it's currently the latter, but every mathmaticion I have talked to + * prefers the former so that a % b returns between 0 to b-1. The + * problem is that this is slower and disagrees with C common practice. + */ + qPtr = q->value + m + 1; + + if (n == 1) { + d = *--vPtr; /* d is only digit of v */ + if (d == 0) { /* divide by zero? */ + q = pnew(errorp(PDOMAIN, "pdivmod", "divide by zero")); + } else { /* single digit divide */ +#ifndef ASM_16BIT + vPtr = r->value + n; + hi = 0; /* hi is current remainder */ + do { + temp = mulBase(hi); /* 0 <= temp <= (base-1)^2 */ + temp += *--uPtr; /* 0 <= temp <= base(base-1) */ + hi = uModDiv(temp, d, --qPtr); /* 0 <= hi < base */ + } while (uPtr > u->value); + *--vPtr = hi; +#else + qPtr -= m + 1; + *(r->value) = memdivw1(qPtr, u->value, m + 1, d); +#endif + } + } else { /* muti digit divide */ + /* + * normalize: multiply u and v by d so hi digit of v > b/2 + */ + d = BASE / (*--vPtr+1); /* high digit of v */ + + w = palloc(n); /* size of v */ + if (w == pUndef) return w; + +#ifndef ASM_16BIT + vPtr = v->value; + uPtr = w->value; /* very confusing. just a temp */ + LastPtr = vPtr + n; + hi = 0; + do { /* single digit multiply */ + temp = uMul(*vPtr++, d); /* 0<= temp <= base(base-1)/2 */ + temp += hi; /* 0 <= temp <= (base^2-1)/2 */ + hi = divBase(temp); /* 0 <= hi < base / 2 */ + *uPtr++ = modBase(temp); /* 0 <= hi < base / 2 */ + } while (vPtr < LastPtr); /* on exit hi == 0 */ +#else + hi = memmulw1(w->value, v->value, n, d); +#endif + + pset(&v, w); + pdestroy(w); + + w = palloc(m + n + 1); + if (w == pUndef) return w; + +#ifndef ASM_16BIT + uPtr = u->value; + vPtr = w->value; /* very confusing. just a temp */ + LastPtr = uPtr + m + n; + do { /* single digit multiply */ + temp = uMul(*uPtr++, d); + temp += hi; + hi = divBase(temp); + *vPtr++ = modBase(temp); + } while (uPtr < LastPtr); + *vPtr = hi; /* note extra digit */ +#else + hi = memmulw1(w->value, u->value, m + n, d); + w->value[m + n] = hi; +#endif + + pset(&u, w); + pdestroy(w); + +#ifdef DEBUG + printf("m = %d n = %d\nd = %d\n", m, n, d); + printf("norm u = "); pshow(u); + printf("norm v = "); pshow(v); +#endif + + uPtr = u->value + m + 1; /* current least significant digit */ + do { + --uPtr; +#ifdef DEBUG + printf(" u = "); + for (i = n; i >= 0; --i) printf("%.*x ", sizeof(digit) * 2, uPtr[i]); + putchar('\n'); + printf(" v = "); + for (i = 1; i < 3; i++) printf("%.*x ", sizeof(digit) * 2, + v->value[n-i]); + putchar('\n'); +#endif +#ifndef ASM_16BIT + vPtr = v->value + n; + LastPtr = uPtr + n; + if (*LastPtr == *--vPtr) { /* guess next digit */ + qd = BASE - 1; + } else { + temp = mulBase(*LastPtr); + temp += *--LastPtr; /* 0 <= temp< base^2 */ + temp = uModDiv(temp, *vPtr, &qd); + --vPtr; + --LastPtr; + while (uMul(*vPtr, qd) > mulBase(temp) + *LastPtr) { + --qd; + temp += vPtr[1]; + if (temp >= BASE) break; /* if so, vPtr*qd <= temp*base */ + } + LastPtr += 2; + } + /* + * Single digit Multiply then Subtract + */ + vPtr = v->value; + carry = 1; /* noborrow bit */ + hi = 0; /* hi digit of multiply */ + do { + /* multiply */ + temp = uMul(qd, *vPtr++); /* 0 <= temp <= (base-1)^2 */ + temp += hi; /* 0 <= temp <= base(base-1) */ + hi = divBase(temp); + temp = modBase(temp); + /* subtract */ + temp = (BASE-1) - temp; /* 0 <= temp < base */ + temp += *uPtr + carry; /* 0 <= temp < 2*base */ + carry = divBase(temp); + *uPtr++ = modBase(temp); /* 0 <= carry < 2 */ + } while (uPtr < LastPtr); + temp = (BASE-1) - hi; + temp += *uPtr + carry; + carry = divBase(temp); + *uPtr = modBase(temp); + uPtr -= n; +#else +#if 0 + carry = !memmulsubw(uPtr, v->value, n, qd); /* 1 if noborrow */ +#endif + carry = !memdivw(uPtr, v->value, n, &qd); /* 1 if noborrow */ +#endif +#ifdef DEBUG + printf(" qhat = %.*x\n", sizeof(digit) * 2, qd); + printf(" new u = "); + for (i = n; i >= 0; --i) printf("%.*x ", sizeof(digit) * 2, uPtr[i]); + putchar('\n'); +#endif + if (carry == 0) { /* Test remainder, add back */ + vPtr = v->value; + LastPtr = uPtr + n; + do { + temp = *uPtr + *vPtr++; + temp += carry; + carry = divBase(temp); + *uPtr++ = modBase(temp); + } while (uPtr < LastPtr); + *uPtr += carry - BASE; /* real strange but works */ + uPtr -= n; + --qd; +#ifdef DEBUG + printf(" decrementing q...adding back\n"); + printf(" fixed u = "); + for (i = n; i >= 0; --i) printf("%.*x ", sizeof(digit) * 2, uPtr[i]); + putchar('\n'); + printf(" newq = %.*x\n", sizeof(digit) * 2, qd); +#endif + } + *--qPtr = qd; /* one leading zero possible */ +#ifdef DEBUG + putchar('\n'); +#endif + } while (uPtr > u->value); + + /* + * Un-normalize to get remainder + */ +#ifndef ASM_16BIT + uPtr = u->value + n; /* skip hi digit (it's zero) */ + vPtr = r->value + n; + hi = 0; /* hi is current remainder */ + do { /* single digit divide */ + temp = mulBase(hi); /* 0<=temp < base^2-(base-1) */ + temp += *--uPtr; /* 0 <= temp < base^2 */ + hi = uModDiv(temp, d, --vPtr); + } while (uPtr > u->value); /* carry will be zero */ +#else + carry = memdivw1(r->value, u->value, n, d); /* always 0 */ +#endif + pnorm(r); /* remainder may have many leading 0's */ + } + + if (m > 0 && qPtr[m] == 0) { + --(q->size); /* normalize */ + } + if (q->size == 1 && *qPtr == 0) q->sign = false; + +done: + + pdestroy(u); + pdestroy(v); + + if (rp == (precision *) -1) { + if (qp != pNull) pset(qp, q); + pdestroy(q); + return presult(r); + } else if (qp == (precision *) -1) { + if (rp != pNull) pset(rp, r); + pdestroy(r); + return presult(q); + } + if (qp != pNull) pset(qp, q); + if (rp != pNull) pset(rp, r); + pdestroy(q); + pdestroy(r); + return pUndef; +} diff --git a/src/benchmarks/cfrac/pfactor.c b/src/benchmarks/cfrac/pfactor.c new file mode 100644 index 0000000..6c765d1 --- /dev/null +++ b/src/benchmarks/cfrac/pfactor.c @@ -0,0 +1,55 @@ +#include <stdio.h> +#include "precision.h" +#include "pfactor.h" + +void showfactors(); + + +int main(argc, argv) + int argc; + char *argv[]; +{ + precision n = pUndef; + + --argc; + if (argc != 0) { + do { + pset(&n, atop(*++argv)); + showfactors(n); + } while (--argc > 0); + } else { + do { + pset(&n, fgetp(stdin)); + if (n == pUndef) break; + showfactors(n); + } while (1); + } + pdestroy(n); + return 0; +} + +void showfactors(n) + precision n; +{ + precision r = pUndef; + FactorList factors = (FactorList) 0; + + (void) pparm(n); + pset(&r, ptrial(n, (unsigned *) 0, &factors)); + fputp(stdout, n); + fputs(" = ", stdout); + pputfactors(stdout, factors); + if pne(r, pone) { + if pne(r, n) putc('*', stdout); + if (!pprime(r, 16)) { + fputc('(', stdout); fputp(stdout, r); fputc(')', stdout); + } else { + fputp(stdout, r); + } + } + putc('\n', stdout); + + pfreefactors(&factors); + pdestroy(r); + pdestroy(n); +} diff --git a/src/benchmarks/cfrac/pfactor.h b/src/benchmarks/cfrac/pfactor.h new file mode 100644 index 0000000..edd5686 --- /dev/null +++ b/src/benchmarks/cfrac/pfactor.h @@ -0,0 +1,62 @@ +typedef struct Pfs { + struct Pfs *next; + precision factor; + unsigned count; +} Pfactor; + +typedef Pfactor *FactorPtr; +typedef FactorPtr FactorList; +typedef precision (*pfunc)(); /* pointer to func returning precision */ + +#ifndef __STDC__ + +extern int pprime(); /* test whether a number is prime */ +extern precision pnextprime(); /* next prime >= it's argument */ + +extern precision pgcd(); /* greatest common divisor */ +extern precision plcm(); /* least common multiple */ +extern precision peuclid(); /* extended euclid's algorithm */ + +extern precision prho(); /* find factor using rho method */ +extern precision pfermat(); /* find factor using Fermat's method */ +extern precision pcfrac(); /* factor w/continued fractions */ + +extern int prhoInit(); /* alter parameters for rho method */ +extern int pcfracInit(); /* alter paramteres for cfrac method */ + +extern precision ptrial(); /* find factors using trial division */ +extern precision prfactor(); /* recursively factor a number */ + +extern void paddfactor(); /* add a factor to a factorlist */ +extern void pputfactors(); /* print a factorlist */ +extern void pfreefactors(); /* return a factorlist to memory */ + +#else + +extern int pprime(precision, unsigned trialCount); +extern precision pnextprime(precision, unsigned trialCount); + +extern precision pgcd(precision, precision); +extern precision plcm(precision, precision); +extern precision peuclid(precision, precision, precision *, precision *); + +extern precision prho(precision n, unsigned *maxCount); +extern precision pfermat(precision n, unsigned *maxCount); +extern precision pcfrac(precision n, unsigned *maxCount); + +extern int prhoInit(precision c, unsigned batchSize); +extern int pcfracInit(unsigned m, unsigned k, unsigned aborts); + +extern precision ptrial(precision n, unsigned *maxCount, FactorList *); +extern precision prfactor(precision, unsigned *maxCount, pfunc, FactorList *); + +extern void paddfactor(FactorList *, precision); +extern void pfreefactors(FactorList *); + +#ifndef BUFSIZE +#include <stdio.h> +#endif + +extern void pputfactors(FILE *, FactorList); + +#endif diff --git a/src/benchmarks/cfrac/pfloat.c b/src/benchmarks/cfrac/pfloat.c new file mode 100644 index 0000000..63f4344 --- /dev/null +++ b/src/benchmarks/cfrac/pfloat.c @@ -0,0 +1,61 @@ +/* + * High Precision Math Library Supplement for floating point routines + */ +#include <stdio.h> +#include <math.h> +#include "pdefs.h" +#include "pcvt.h" +#include "precision.h" + +extern precision palloc(); + +/* + * double to precision + */ +precision dtop(f) + register double f; +{ + register digitPtr uPtr; + register precision u; + + u = palloc(DOUBLESIZE); /* pretty big */ + if (u == pUndef) return u; + + if (f < 0.0) { + f = -f; + u->sign = true; + } else { + u->sign = false; + } + uPtr = u->value; + do { + *uPtr++ = fmod(f, (double) BASE); + f = floor(f / (double) BASE); + } while (f != 0.0); + + u->size = (uPtr - u->value); + + return presult(u); +} + +/* + * precision to double (no overflow check) + */ +double ptod(u) + precision u; +{ + register digitPtr uPtr; + register double f; + + (void) pparm(u); + uPtr = u->value + u->size; + f = 0.0; + do { + f = f * (double) BASE + (double) *--uPtr; + } while (uPtr > u->value); + + if (u->sign) f = -f; + + pdestroy(u); + return f; +} diff --git a/src/benchmarks/cfrac/pgcd.c b/src/benchmarks/cfrac/pgcd.c new file mode 100644 index 0000000..a72a8a7 --- /dev/null +++ b/src/benchmarks/cfrac/pgcd.c @@ -0,0 +1,24 @@ +#include "precision.h" + +/* + * Euclid's Algorithm + * + * Given u and v, calculated and return their greatest common divisor. + */ +precision pgcd(u, v) + precision u, v; +{ + precision u3 = pnew(pabs(pparm(u))), v3 = pnew(pabs(pparm(v))); + precision q = pUndef, r = pUndef; + + while (pnez(v3)) { + pdivmod(u3, v3, &q, &r); + pset(&u3, v3); + pset(&v3, r); + } + + pdestroy(v3); + pdestroy(q); pdestroy(r); + pdestroy(u); pdestroy(v); + return presult(u3); /* result always positive */ +} diff --git a/src/benchmarks/cfrac/phalf.c b/src/benchmarks/cfrac/phalf.c new file mode 100644 index 0000000..8658de5 --- /dev/null +++ b/src/benchmarks/cfrac/phalf.c @@ -0,0 +1,36 @@ +#include <string.h> +#include "pdefs.h" +#include "precision.h" + +#ifdef ASM_16BIT +#include "asm16bit.h" +#endif + +/* + * Divide a precision by 2 + */ +precision phalf(u) + register precision u; +{ +#ifdef ASM_16BIT + register precision w; + register posit usize; + + pparm(u); + usize = u->size; + w = palloc(usize); + if (w == pUndef) return w; + + w->sign = u->sign; + (void) memcpy(w->value, u->value, usize * sizeof(digit)); + + memlsrw(w->value, usize); /* 68000 assembly language routine */ + if (usize > 1 && w->value[usize-1] == (digit) 0) { /* normalize */ + --(w->size); + } + pdestroy(u); + return presult(w); +#else + return pdiv(u, ptwo); +#endif +} diff --git a/src/benchmarks/cfrac/picmp.c b/src/benchmarks/cfrac/picmp.c new file mode 100644 index 0000000..b942268 --- /dev/null +++ b/src/benchmarks/cfrac/picmp.c @@ -0,0 +1,41 @@ +#include "pdefs.h" +#include "precision.h" + +static char cmpError[] = "Second arg not single digit"; + +/* + * Single-digit compare + */ +int picmp(u, v) + register precision u; + register int v; +{ + register int i; + + (void) pparm(u); + + if (u->sign) { + i = -1; + if (v < 0) { + if (-v >= BASE) { + errorp(PDOMAIN, "picmp", cmpError); + } + if (u->size == 1) { + i = - (int) *(u->value) - v; + } + } + } else { + i = 1; + if (v >= 0) { + if (v >= BASE) { + errorp(PDOMAIN, "picmp", cmpError); + } + if (u->size == 1) { + i = (int) *(u->value) - v; + } + } + } + + pdestroy(u); + return i; +} diff --git a/src/benchmarks/cfrac/pidiv.c b/src/benchmarks/cfrac/pidiv.c new file mode 100644 index 0000000..61c09a7 --- /dev/null +++ b/src/benchmarks/cfrac/pidiv.c @@ -0,0 +1,60 @@ +#include "pdefs.h" +#include "precision.h" +#ifdef ASM_16BIT +#include "asm16bit.h" +#endif + +/* + * Single-digit divide + */ +precision pidiv(u, v) + register precision u; + int v; +{ +#ifndef ASM_16BIT + register digitPtr uPtr, qPtr; + register accumulator temp; /* 0 <= temp < base^2 */ +#endif + register digit r, d; /* 0 <= r,d < base */ + register posit m; + register precision q; + + (void) pparm(u); + + if (v < 0) d = (digit) -v; else d = (digit) v; + if (d >= BASE) { + q = pnew(errorp(PDOMAIN, "pidiv", "divisor too big for single digit")); + goto done; + } + if (d == 0) { + q = pnew(errorp(PDOMAIN, "pidiv", "divide by zero")); + goto done; + } + m = u->size; + q = palloc(m); + if (q == pUndef) goto done; + +#ifndef ASM_16BIT + qPtr = q->value + m; + uPtr = u->value + m; + r = 0; /* r is current remainder */ + do { + temp = mulBase(r); /* 0 <= temp <= (base-1)^2 */ + temp += *--uPtr; /* 0 <= temp <= base(base-1) */ + r = uModDiv(temp, d, --qPtr); /* 0 <= r < base */ + } while (uPtr > u->value); +#else + r = memdivw1(q->value, u->value, m, d); +#endif + /* + * normalize q + */ + if (m > 1 && q->value[m-1] == 0) { + --(q->size); + } + q->sign = (u->sign != (v < 0)); + if (q->size == 1 && *(q->value) == 0) q->sign = false; +done: + pdestroy(u); + return presult(q); +} diff --git a/src/benchmarks/cfrac/pimod.c b/src/benchmarks/cfrac/pimod.c new file mode 100644 index 0000000..b26536d --- /dev/null +++ b/src/benchmarks/cfrac/pimod.c @@ -0,0 +1,48 @@ +#include "pdefs.h" +#include "precision.h" +#ifdef ASM_16BIT +#include "asm16bit.h" +#endif + +/* + * Single-digit remainder + */ +int pimod(u, v) + register precision u; + int v; +{ +#ifndef ASM_16BIT + register digitPtr uPtr; + register accumulator temp; /* 0 <= temp < base^2 */ +#endif + register digit r = 0, d; /* 0 <= r,d < base */ + register int res = 0; + + (void) pparm(u); + if (v < 0) d = (digit) -v; else d = (digit) v; + if (d >= BASE) { + errorp(PDOMAIN, "pimod", "divisor too big for single digit"); + goto done; + } + if (d == 0) { + errorp(PDOMAIN, "pimod", "divide by zero"); + goto done; + } +#ifndef ASM_16BIT + uPtr = u->value + u->size; + r = 0; /* r is current remainder */ + do { + temp = mulBase(r); /* 0 <= temp <= (base-1)^2 */ + temp += *--uPtr; /* 0 <= temp <= base(base-1) */ + r = temp % d; /* 0 <= r < base */ + } while (uPtr > u->value); +#else + r = memmodw1(u->value, u->size, d); +#endif + + res = (int) r; + if (u->sign) res = -res; +done: + pdestroy(u); + return res; +} diff --git a/src/benchmarks/cfrac/pio.c b/src/benchmarks/cfrac/pio.c new file mode 100644 index 0000000..16b5bda --- /dev/null +++ b/src/benchmarks/cfrac/pio.c @@ -0,0 +1,165 @@ +#include <stdio.h> +#include <ctype.h> +#include <string.h> +#include "pdefs.h" +#include "pcvt.h" +#include "precision.h" + +/* + * Output a string to a file. + * + * Returns: + * the number of characters written + * or EOF if error + */ +static int fouts(stream, chp) + FILE *stream; + register char *chp; +{ + register int count = 0, res = 0; + + if (chp != (char *) 0 && *chp != '\0') do { + count++; + res = putc(*chp, stream); + } while (*++chp != '\0' && res != EOF); + + if (res != EOF) res = count; + return res; +} + +/* + * output the value of a precision to a file (no cr or whitespace) + * + * Returns: + * The number of characters output or EOF if error + */ +int fputp(stream, p) + FILE *stream; + precision p; +{ + int res; + char *chp = ptoa(pparm(p)); + + res = fouts(stream, chp); + deallocate(chp); + pdestroy(p); + return res; +} + +/* + * Output a precision to stdout with a newline (useful from debugger) + */ +int putp(p) + precision p; +{ + int res; + char *chp = ptoa(pparm(p)); + + res = fouts(stdout, chp); + res = putc('\n', stdout); + deallocate(chp); + pdestroy(p); + return res; + +} + +/* + * Output a justified precision + * + * Returns: The number of characters in the precision, or EOF if error + */ +int fprintp(stream, p, minWidth) + FILE *stream; + precision p; + register int minWidth; +{ + int res; + char *chp = ptoa(pparm(p)); + int len; + + len = strlen(chp); + if (minWidth < 0) { /* left-justified */ + res = fouts(stream, chp); + while (minWidth++ < -len) { + putc(' ', stream); + } + } else { + while (minWidth-- > len) { /* right-justified */ + putc(' ', stream); + } + res = fouts(stream, chp); + } + + deallocate(chp); + pdestroy(p); + return res; +} + + +/* + * Read in a precision type - same as atop but with io + * + * leading whitespace skipped + * an optional leading '-' or '+' followed by digits '0'..'9' + * leading 0's Ok + * stops at first unrecognized character + * + * Returns: pUndef if EOF or invalid argument (NULL or nondigit as 1st digit) + */ +precision fgetp(stream) + FILE *stream; +{ + precision res = pUndef; + precision clump = pUndef; + int sign = 0; + register int ch; + register accumulator temp, x; + register int j; + + ch = getc(stream); + if (ch != EOF) { + while (isspace(ch)) ch = getc(stream); /* skip whitespace */ + if (ch == '-') { + sign = 1; + ch = getc(stream); + } else if (ch == '+') { + ch = getc(stream); + } + if (isdigit(ch)) { + pset(&res, pzero); + pset(&clump, utop(aDigit)); + do { + j = aDigitLog-1; + temp = ch - '0'; + do { + if (!isdigit(ch = getc(stream))) goto atoplast; + temp = temp * aBase + (ch - '0'); + } while (--j > 0); + pset(&res, padd(pmul(res, clump), utop(temp))); + } while (isdigit(ch = getc(stream))); + goto atopdone; +atoplast: + x = aBase; + while (j++ < aDigitLog-1) { + x *= aBase; + } + pset(&res, padd(pmul(res, utop(x)), utop(temp))); +atopdone: + if (ch != EOF) ungetc(ch, stream); + if (sign) { + pset(&res, pneg(res)); + } + } else { + if (ch == EOF) { + res = pUndef; + } else { + ungetc(ch, stream); + } + } + } else { + res = pUndef; + } + pdestroy(clump); + if (res == pUndef) return res; + return presult(res); +} diff --git a/src/benchmarks/cfrac/pmul.c b/src/benchmarks/cfrac/pmul.c new file mode 100644 index 0000000..e69a366 --- /dev/null +++ b/src/benchmarks/cfrac/pmul.c @@ -0,0 +1,84 @@ +#include "pdefs.h" +#include "precision.h" +#include <string.h> + +#ifdef ASM_16BIT +#include "asm16bit.h" +#endif + +/* + * Multiply u by v (assumes normalized) + */ +precision pmul(u, v) + register precision v; /* register a5 on 68000 */ +#ifdef ASM_16BIT + register precision u; /* register a4 */ +{ +#else + precision u; +{ + digitPtr vPtr; + register digitPtr uPtr, wPtr, HiDigit; + register accumulator temp; /* 0 <= temp < base * base */ /* d7 */ + register digit vdigit; /* d6 */ +#endif + register digit hi; /* 0 <= hi < base */ /* d5 */ + precision w; + + (void) pparm(u); + (void) pparm(v); + /* + * Check for multiply by zero. Helps prevent wasted storage and -0 + */ + if (peqz(u) || peqz(v)) { + w = palloc(1); + if (w == pUndef) return w; + + w->sign = false; + w->value[0] = 0; + } else { + if (u->size < v->size) { /* u is biggest number (for inner loop speed) */ + w = u; u = v; v = w; + } + + w = palloc(u->size + v->size); + if (w == pUndef) return w; + + w->sign = (u->sign != v->sign); + +#ifndef ASM_16BIT + uPtr = u->value; + vPtr = v->value; + wPtr = w->value + u->size; /* this is correct! */ + do { + *--wPtr = 0; + } while (wPtr > w->value); + + vPtr = v->value; + HiDigit = u->value + u->size; + do { + uPtr = u->value; + wPtr = w->value + (vPtr - v->value); + hi = 0; + vdigit = *vPtr; + do { + temp = uMul(vdigit, *uPtr++); /* 0 <= temp <= (base-1)^2 */ + temp += *wPtr; /* 0 <= temp <= base(base-1) */ + temp += hi; /* 0 <= temp < base * base */ + hi = divBase(temp); /* 0 <= hi < base */ + *wPtr++ = modBase(temp); + } while (uPtr < HiDigit); + *wPtr++ = hi; + } while (++vPtr < v->value + v->size); +#else + hi = memmulw(w->value, u->value, u->size, v->value, v->size); +#endif + if (hi == 0) { + --(w->size); /* normalize */ + } + } + + pdestroy(u); + pdestroy(v); + return presult(w); +} diff --git a/src/benchmarks/cfrac/pneg.c b/src/benchmarks/cfrac/pneg.c new file mode 100644 index 0000000..c781066 --- /dev/null +++ b/src/benchmarks/cfrac/pneg.c @@ -0,0 +1,25 @@ +#include "pdefs.h" /* private include file */ +#include "precision.h" /* public include file for forward refs */ +#include <string.h> + +/* + * negation + */ +precision pneg(u) + register precision u; +{ + precision w; + + (void) pparm(u); + w = palloc(u->size); + if (w == pUndef) return w; + + w->sign = u->sign; + if (pnez(u)) { /* don't create a negative 0 */ + w->sign = !w->sign; + } + (void) memcpy(w->value, u->value, u->size * sizeof(digit)); + + pdestroy(u); + return presult(w); +} diff --git a/src/benchmarks/cfrac/podd.c b/src/benchmarks/cfrac/podd.c new file mode 100644 index 0000000..def95b4 --- /dev/null +++ b/src/benchmarks/cfrac/podd.c @@ -0,0 +1,16 @@ +#include "pdefs.h" +#include "precision.h" + +/* + * Returns non-zero if u is odd + */ +int podd(u) + precision u; +{ + register int res; + + (void) pparm(u); + res = (*(u->value) & 1); + pdestroy(u); + return res; +} diff --git a/src/benchmarks/cfrac/pops.c b/src/benchmarks/cfrac/pops.c new file mode 100644 index 0000000..7154dd7 --- /dev/null +++ b/src/benchmarks/cfrac/pops.c @@ -0,0 +1,339 @@ +#ifdef DEBUGOPS +#include <stdio.h> +#endif +/* + * High Precision Math Library + * + * Written by Dave Barrett 2/23/83 + * Translated from modcal to pascal 4/30/84 + * Mod portability fixed; removed floor function 5/14/84 + * Fixed numerous bugs and improved robustness 5/21/84 + * Translated to C 6/14/84 + * Changed precision to be determined at run-time 5/19/85 + * Added dynamic allocation 7/21/85 + * Combined unsigned math and integer math 8/01/85 + * Fixed Bug in pcmp 7/20/87 + * Fixed handling of dynamic storage (refcount added) 7/20/87 + * Final debugging of current version 8/22/87 + * Fixed many bugs in various routines, wrote atop 2/07/89 + * Tuned for speed, fixed overflow problems 3/01/89 + * Removed refcounts, more tuning, removed pcreate 3/16/89 + * Added cmp macros, change name of pzero, added pshift 4/29/89 + * Repaired operation order bugs in pdiv, calc.c 5/15/91 + * Added pdiv macro, split out pcmp, pabs, much cleanup 5/21/91 + * + * warning! The mod operation with negative arguments not portable. + * I have therefore avoided it completely with much pain. + * + * The following identities have proven useful: + * + * given: a % b = a - floor(a/b) * b + * then : -a % -b = -(a % b) + * -a % b = -( a % -b) = b - a % b (a % b != 0) + * a % -b = -(-a % b) = a % b - b (a % b != 0) + * + * given: a % b = a - a / b * b + * then : -a % -b = -a % b = -(a % b) + * a % -b = a % b + * + * Also, be very careful of computations in the inner loops. Much + * work has been done to make sure the compiler does not re-arrange + * expressions to cause an overflow. The compiler may still be doing + * unnecessary type conversions. + * + * NOTES: + * + * The ptoa routine creates storage which is likely to be forgotton. + * + * A function returning a result must use the result. If it doesn't + * the storage is never freed. For example: itop(2); by itself + * You must make sure to pdestroy the result. + * + * An error (out of storage) fails to deallocate u and v. + * + * psub, pcmp, pdiv, and pmul all assume normalized arguments. + * + * This file contains the storage management-specific code: + * palloc, pfree, pset -- together these account for 45% of execution time + */ +#include <string.h> +#include "pdefs.h" /* private include file */ +#include "precision.h" /* public include file for forward refs */ + +cacheType pcache[CACHESIZE]; +static char ident[] = + " @(#) libprecision.a version 2.00 3-May-91 by Dave Barrett\n"; + +/* + * normalize (used by div and sub) + * remove all leading zero's + * force positive sign if result is zero + */ +void pnorm(u) + register precision u; +{ + register digitPtr uPtr; + + uPtr = u->value + u->size; + do { + if (*--uPtr != 0) break; + } while (uPtr > u->value); + + if (uPtr == u->value && *uPtr == 0) u->sign = false; + + u->size = (uPtr - u->value) + 1; /* normalize */ +} + +/* + * Create a number with the given size (private) (very heavily used) + */ +precision palloc(size) + register posit size; +{ + register precision w; + register cacheType *kludge = pcache + size; /* for shitty compilers */ + +#if !(defined(NOMEMOPT) || defined(BWGC)) + if (size < CACHESIZE && (w = kludge->next) != pUndef) { + kludge->next = ((cacheType *) w)->next; + --kludge->count; + } else { +#endif + w = (precision) allocate(PrecisionSize + sizeof(digit) * size); + if (w == pUndef) { + w = errorp(PNOMEM, "palloc", "out of memory"); + return w; + } +#if !(defined(NOMEMOPT) || defined(BWGC)) + } +#endif +#ifndef BWGC + w->refcount = 1; +#endif + w->size = w->alloc = size; +#ifdef DEBUGOPS + printf("alloc %.8x\n", w); + fflush(stdout); +#endif + return w; +} + +/* + * (Very heavily used: Called conditionally pdestroy) + * (should be void, but some compilers can't handle it with the macro) + */ +int pfree(u) + register precision u; +{ + register posit size; + register cacheType *kludge; /* for shitty compilers */ + +#ifdef DEBUGOPS + printf("free %.8x\n", u); + fflush(stdout); +#endif + + size = u->alloc; + + kludge = pcache + size; +#if !(defined(NOMEMOPT) || defined(BWGC)) + if (size < CACHESIZE && kludge->count < CACHELIMIT) { + ((cacheType *) u)->next = kludge->next; + kludge->next = u; + kludge->count++; + } else { +#endif + deallocate(u); +#if !(defined(NOMEMOPT) || defined(BWGC)) + } +#endif + return 0; +} + +/* + * User inteface: + * + * Rules: + * a precision must be initialized to pUndef or to result of pnew. + * a precision pointer must point to a precision or be pNull + * pUndef may not be passed as an rvalue into a function + * pNull may not be passed as an lvalue into a function + * + * presult and pdestroy are the only functions which may be passed pUndef + */ + +/* + * assignment with verification (slower, but helpful for bug detect) + * It would be nice if this routine could detect pointers to incorrect + * or non-living areas of memory. + * + * We can't check for undefined rvalue because we want to allow functions + * to return pUndef, and then let the application check for it after assigning + * it to a variable. + * + * usage: pset(&i, j); + */ +precision psetv(up, v) + register precision *up, v; +{ + register precision u; + +#ifdef DEBUGOPS + printf("psetv %.8x %.8x ", up, v); +#endif +#ifdef DEBUGOPS +#ifndef BWGC + printf("->%u", v->refcount); +#endif +#endif + if (up == pNull) { + errorp(PDOMAIN, "pset", "lvalue is pNull"); + } + u = *up; +#ifdef DEBUGOPS + printf(" %.8x", u); +#endif + *up = v; + if (v != pUndef) { +#ifndef BWGC + v->refcount++; +#endif + } + if (u != pUndef) { + if (u->sign & ~1) { /* a minimal check */ + errorp(PDOMAIN, "pset", "invalid precision"); + } +#ifndef BWGC + if (--(u->refcount) == 0) { +#ifdef DEBUGOPS + printf("->%u", u->refcount); +#endif + pfree(u); + } +#endif + } +#ifdef DEBUGOPS + putchar('\n'); + fflush(stdout); +#endif + return v; +} + +precision pparmv(u) + register precision u; +{ +#ifdef DEBUGOPS + printf("pparm %.8x\n", u); + fflush(stdout); +#endif + if (u == pUndef) { + errorp(PDOMAIN, "pparm", "undefined function argument"); + } + if (u->sign & ~1) { /* a minimal check */ + errorp(PDOMAIN, "pparm", "invalid precision"); + } +#ifndef BWGC + u->refcount++; +#endif + return u; +} + +/* + * Function version of unsafe pparmq macro + */ +precision pparmf(u) + register precision u; +{ +#ifndef BWGC + if (u != pUndef) { + u->refcount++; + } +#endif + return u; +} + +/* + * Function version of pdestroy macro + */ +void pdestroyf(u) + register precision u; +{ +#ifndef BWGC + if (u != pUndef && --u->refcount == 0) { + pfree(u); + } +#endif +} + +#ifndef __GNUC__ /* inline in header file */ +/* + * We cannot allow this to be a macro because of the probability that it's + * argument will be a function (e.g. utop(2)) + */ +precision pnew(u) + register precision u; +{ +#ifndef BWGC + u->refcount++; +#endif + return u; +} + +/* + * Cannot be a macro because of function argument possibility + */ +precision presult(u) + register precision u; +{ +#ifndef BWGC + if (u != pUndef) { + --(u->refcount); + } +#endif + return u; +} + +/* + * Quick but dangerous assignment + * + * Assumes: target not pNull and source not pUndef + */ +precision psetq(up, v) + register precision *up, v; +{ + register precision u = *up; /* up may NOT be pNULL! */ + + *up = v; /* up may be &v, OK */ +#ifndef BWGC + if (v != pUndef) { /* to allow: x=func(); if (x==pUndef) ... */ + v->refcount++; + } + if (u != pUndef && --(u->refcount) == 0) { + pfree(u); + } +#endif + return v; +} +#endif + +#if 0 /* original assignment code */ +precision pset(up, v) + register precision *up, v; +{ + register precision u; + +#ifndef BWGC + if (v != pUndef) v->refcount++; +#endif + if (up == pNull) { /* useful voiding parameters (pdiv) */ + pdestroy(v); + return pUndef; + } + u = *up; + if (u != pUndef) { /* useful to force initial creation */ + pdestroy(u); + } + *up = v; /* notice that v may be pUndef which is OK! */ + return v; /* no presult! This is a variable */ +} +#endif diff --git a/src/benchmarks/cfrac/ppowmod.c b/src/benchmarks/cfrac/ppowmod.c new file mode 100644 index 0000000..4528db9 --- /dev/null +++ b/src/benchmarks/cfrac/ppowmod.c @@ -0,0 +1,28 @@ +#include "precision.h" + +/* + * Raise to precision power mod m + */ +precision ppowmod(u, v, m) + precision u, v, m; +{ + precision j = pUndef, i = pUndef, n = pUndef; + + (void) pparm(m); + pset(&i, pparm(u)); + pset(&n, pparm(v)); + pset(&j, pone); + + do { + if (podd(n)) { + pset(&j, pmod(pmul(i, j), m)); + } + pset(&n, phalf(n)); + if (peqz(n)) break; + pset(&i, pmod(pmul(i, i), m)); + } while (1); + + pdestroy(i); pdestroy(n); + pdestroy(u); pdestroy(v); pdestroy(m); + return presult(j); +} diff --git a/src/benchmarks/cfrac/precision.h b/src/benchmarks/cfrac/precision.h new file mode 100644 index 0000000..28befce --- /dev/null +++ b/src/benchmarks/cfrac/precision.h @@ -0,0 +1,314 @@ +/* + * Arbitrary precision integer math package + * + * (c) Copyright 1991 by David A. Barrett (barrett@asgard.UUCP) + * + * Not to be used for profit or distributed in systems sold for profit + */ + + +/* BEGIN EDB */ + +#include <stdlib.h> + +#if defined(USE_LOCH) && defined(_WIN32) +#pragma comment(lib, "loch.lib") +#endif + +#define NOMEMOPT 1 + +/* END EDB */ + +#ifndef BASE +typedef unsigned short prefc; /* reference counter type */ +typedef prefc *precision; /* this a a private data structure */ +extern int pfree(); /* free (private) */ +#endif + +typedef precision *pvector; /* a vector of precision */ +typedef pvector *parray; /* 2d array */ + +/* + * Error values passed to errorp + */ +#define PNOERROR 0 +#define PNOMEM 1 +#define PREFCOUNT 2 +#define PUNDEFINED 3 +#define PDOMAIN 4 +#define POVERFLOW 5 + +#define pUndef ((precision) 0) /* An undefined value */ +#define pNull ((precision *) 0) + +#define peq(u, v) (pcmp((u), (v)) == 0) +#define pne(u, v) (pcmp((u), (v)) != 0) +#define pgt(u, v) (pcmp((u), (v)) > 0) +#define plt(u, v) (pcmp((u), (v)) < 0) +#define pge(u, v) (pcmp((u), (v)) >= 0) +#define ple(u, v) (pcmp((u), (v)) <= 0) + +#define peqz(u) (pcmpz(u) == 0) +#define pnez(u) (pcmpz(u) != 0) +#define pltz(u) (pcmpz(u) < 0) +#define pgtz(u) (pcmpz(u) > 0) +#define plez(u) (pcmpz(u) <= 0) +#define pgez(u) (pcmpz(u) >= 0) + +#define peven(u) (!podd(u)) +#define pdiv(u,v) (pdivmod(u,v, (precision *) -1, pNull)) +#define pmod(u,v) (pdivmod(u,v, pNull, (precision *) -1)) +#define pdivr(u,v,r) (pdivmod(u,v, (precision *) -1, r)) +#define pmodq(u,v,q) (pdivmod(u,v, q, (precision *) -1)) + +/* + * Application programs should only use the following definitions; + * + * pnew, pdestroy, pparm, presult and pset + * + * Other variants are internal only! + * All are side-effect safe except for pparm and presult. + * -DDEBUG will enable argument checking for pset and pparm + */ +#ifdef __GNUC__ /* inline is NOT ansii! Sigh. */ +#ifndef BWGC +static inline precision pnew(precision u) { (* (prefc *) u)++; return u; } +static inline void pdestroy(precision u) { + if (u != pUndef && --(*(prefc *) u) == 0) pfree(u); +} +static inline precision pparmq(precision u) { + if (u != pUndef) (* (prefc *) u)++; return u; +} +static inline precision presult(precision u) { + if (u != pUndef) --(*(prefc *) u); return u; +} +static inline precision psetq(precision *up, precision v) { + precision u = *up; + *up = v; + if (v != pUndef) (* (prefc *) v)++; + if (u != pUndef && --(* (prefc *) u) == 0) pfree(u); + return v; +} +#define pvoid(u) pdestroy(u) +#else +extern inline precision pnew(precision u) { return u; } +extern inline void pdestroy(precision u) {} +extern inline precision pparmq(precision u) { return u; } +extern inline precision presult(precision u) { return u; } +extern inline precision psetq(precision *up, precision v) { + precision u = *up; + *up = v; + return v; +} +#define pvoid(u) pdestroy(u) +#endif +#else +#ifndef BWGC +#define pdestroy(u) (void) ((u)!=pUndef&&--(*(prefc *)(u))==0&&pfree(u)) +#define pparmq(u) ((u) != pUndef && (* (prefc *) (u))++, (u)) +#define pvoid(u) pdestroyf(u) +#else +#define pdestroy(u) (void) (0) +#define pparmq(u) (u) +#define pvoid(u) pdestroyf(u) +#endif +#endif + + +#ifdef PDEBUG +#define pset(u, v) psetv(u, v) +#define pparm(u) pparmv(u) +#else +#define pset(u, v) psetq(u, v) +#define pparm(u) pparmq(u) +#endif + +#ifdef __STDC__ /* if ANSI compiler */ +#ifndef __GNUC__ +extern precision pnew(precision); /* initialization */ +extern precision presult(precision); /* function result */ +extern precision psetq(precision *, precision); /* quick assignment */ +#endif +extern precision psetv(precision *, precision); /* checked assignment */ +extern precision pparmv(precision); /* checked parameter */ +extern precision pparmf(precision); /* unchecked parameter (fn) */ + +extern int pcmpz(precision); /* compare to zero */ +extern int pcmp(precision, precision); /* compare */ +extern int picmp(precision, int); /* single digit cmp */ + +extern precision padd(precision, precision); /* add */ +extern precision psub(precision, precision); /* subtract */ +extern precision pmul(precision, precision); /* multiply */ + +extern precision pdivmod(precision, precision, + precision *q, precision *r); + +extern precision pidiv(precision, int); /* single digit pdiv */ +extern int pimod(precision, int); /* single digit pmod */ +extern void pidivmod(precision, int, /* single pdivmod */ + precision *q, int *r); + +extern precision pneg(precision); /* negate */ +extern precision pabs(precision); /* absolute value */ +extern int podd(precision); /* true if odd */ +extern precision phalf(precision); /* divide by two */ + +extern precision pmin(precision, precision); /* minimum value */ +extern precision pmax(precision, precision); /* maximum value */ + +extern precision prand(precision); /* random number generator */ + +extern precision itop(int); /* int to precision */ +extern precision utop(unsigned); /* unsigned to precision */ +extern precision ltop(long); /* long to precision */ +extern precision ultop(unsigned long); /* unsigned long to precision */ + +extern int ptoi(precision); /* precision to int */ +extern unsigned int ptou(precision); /* precision to unsigned */ +extern long ptol(precision); /* precision to long */ +extern unsigned long ptoul(precision); /* precision to unsigned long */ + +extern precision atop(char *); /* ascii to precision */ +extern char *ptoa(precision); /* precision to ascii */ + +extern int btop(precision *result, /* base to precision */ + char *src, unsigned size, int *digitmap, unsigned radix); + +extern int /* precision to base */ + ptob(precision, char *result, unsigned size, char *alphabet, unsigned radix); + +/* + * Can't do prototyping for these unless stdio.h has been included + */ +#ifdef BUFSIZ +extern precision fgetp(FILE *stream); /* input precision */ +extern int fputp(FILE *stream, precision); /* output precision */ +extern int + fprintp(FILE *stream, precision, int minWidth); /* output within a field */ +#else +extern precision fgetp(); /* input precision */ +extern int fputp(); /* output precision */ +extern int fprintp(); /* output within a field */ +#endif + +extern int putp(precision); /* stdout with '\n' */ + +extern void pshow(precision); /* display debug info */ +extern precision prandnum(); /* debug and profil only */ +extern precision pshift(precision, int); /* shift left */ + +extern precision errorp(int errnum, char *routine, char *message); + +extern precision pzero, pone, ptwo; /* constants 0, 1, and 2 */ +extern precision p_one; /* constant -1 */ + +extern precision psqrt(precision); /* square root */ +extern precision pfactorial(precision); /* factorial */ +extern precision pipow(precision, unsigned); /* unsigned int power */ +extern precision ppow(precision, precision); /* precision power */ +extern precision + ppowmod(precision, precision, precision); /* precision power mod m */ +extern int plogb(precision, precision); /* log base b of n */ + +extern precision dtop(double); /* double to precision */ +extern double ptod(precision); /* precision to double */ + +/* + * vector operations + */ +pvector pvundef(pvector, unsigned size); /* local variable entry */ +void pvdestroy(pvector, unsigned size); /* local variable exit */ + +pvector pvalloc(unsigned size); /* pvec allocate */ +void pvfree(pvector, unsigned size); /* pvec free */ + +pvector pvset(pvector, unsigned size, precision value); + +#else + +/* + * Function versions of above if you still want side effects + */ + +#ifndef __GNUC__ +extern precision pnew(); /* initialization */ +extern precision presult(); /* function result */ +extern precision psetq(); /* quick assignment */ +#endif +extern precision psetv(); /* checked assignment */ +extern precision pparmv(); /* checked parameter */ +extern precision pparmf(); /* unchecked parameter (fn) */ + +extern int pcmpz(); /* compare to zero */ +extern int pcmp(); /* compare */ +extern int picmp(); /* single digit compare */ + +extern precision padd(); /* add */ +extern precision psub(); /* subtract */ +extern precision pmul(); /* multiply */ + +extern precision pdivmod(); /* divide/remainder */ +extern void pidivmod(); /* single digit divide/remainder */ +extern precision pidiv(); /* single digit divide */ +extern int pimod(); /* single digit remainder */ +extern precision pneg(); /* negate */ +extern precision pabs(); /* absolute value */ +extern int podd(); /* true if odd */ +extern precision phalf(); /* divide by two */ + +extern precision pmin(); /* minimum value */ +extern precision pmax(); /* maximum value */ + +extern precision prand(); /* random number generator */ + +extern precision itop(); /* int to precision */ +extern precision utop(); /* unsigned to precision */ +extern precision ltop(); /* long to precision */ +extern precision ultop(); /* unsigned long to precision */ + +extern int ptoi(); /* precision to int */ +extern unsigned int ptou(); /* precision to unsigned */ +extern long ptol(); /* precision to long */ +extern unsigned long ptoul(); /* precision to unsigned long */ + +extern precision atop(); /* ascii to precision */ +extern char *ptoa(); /* precision to ascii */ + +extern int btop(); /* base to precision */ +extern int ptob(); /* precision to base */ + +extern precision fgetp(); /* input a precision */ +extern int fputp(); /* output a precision */ +extern int putp(); /* output precision '\n' to stdout */ +extern int fprintp(); /* output a precision within a field */ + +extern void pshow(); /* display debug info */ +extern precision prandnum(); /* for debug and profil only */ +extern precision pshift(); /* shift left */ + +extern precision errorp(); /* user-substitutable error handler */ + +extern precision pzero, pone, ptwo; /* constants 0, 1, and 2 */ +extern precision p_one; /* constant -1 */ + +extern precision psqrt(); /* square root */ +extern precision pfactorial(); /* factorial */ +extern precision pipow(); /* unsigned int power */ +extern precision ppow(); /* precision power */ +extern precision ppowmod(); /* precision power mod m */ +extern int plogb(); /* log base b of n */ + +extern precision dtop(); /* double to precision */ +extern double ptod(); /* precision to double */ + +/* + * vector operations + */ +pvector pvundef(); /* local variable entry */ +void pvdestroy(); /* local variable exit */ +pvector pvalloc(); /* pvec allocate */ +void pvfree(); /* pvec free */ +pvector pvset(); /* set each element to scaler */ + +#endif diff --git a/src/benchmarks/cfrac/primes.c b/src/benchmarks/cfrac/primes.c new file mode 100644 index 0000000..f9dbd84 --- /dev/null +++ b/src/benchmarks/cfrac/primes.c @@ -0,0 +1,662 @@ +/* + * A table of all primes < 65536 + */ +unsigned int primesize = 6542; + +unsigned short primes[] = { + 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, + 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, + 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, + 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, + 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, + 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, + 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, + 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, + 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, + 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, + 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, + 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, + 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, + 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, + 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, + 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, + 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, + 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, + 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, + 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, + 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, + 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, + 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, + 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, + 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, + 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, + 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, + 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, + 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, + 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, + 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, + 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, + 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, + 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, + 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, + 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, + 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, + 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, + 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, + 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, + 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, + 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, + 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, + 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, + 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, + 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, + 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, + 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, + 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, + 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, + 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, + 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, + 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, + 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, + 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, + 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, + 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, + 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, + 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, + 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, + 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, + 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, + 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, + 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, + 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, + 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, + 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, + 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, + 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, + 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, + 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, + 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, + 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, + 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, + 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, + 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, + 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, + 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, + 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, + 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, + 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, + 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, + 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, + 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, + 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, + 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, + 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, + 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, + 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, + 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, + 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, + 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, + 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, + 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, + 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, + 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, + 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, + 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, + 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, + 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, + 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, + 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, + 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, + 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, + 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, + 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, + 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, + 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, + 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, + 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, + 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, + 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, + 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, + 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, + 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, + 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, + 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, + 9461, 9463, 9467, 9473, 9479, 9491, 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64661, 64663, 64667, 64679, 64693, + 64709, 64717, 64747, 64763, 64781, 64783, 64793, 64811, 64817, 64849, + 64853, 64871, 64877, 64879, 64891, 64901, 64919, 64921, 64927, 64937, + 64951, 64969, 64997, 65003, 65011, 65027, 65029, 65033, 65053, 65063, + 65071, 65089, 65099, 65101, 65111, 65119, 65123, 65129, 65141, 65147, + 65167, 65171, 65173, 65179, 65183, 65203, 65213, 65239, 65257, 65267, + 65269, 65287, 65293, 65309, 65323, 65327, 65353, 65357, 65371, 65381, + 65393, 65407, 65413, 65419, 65423, 65437, 65447, 65449, 65479, 65497, + 65519, 65521, 1 +}; diff --git a/src/benchmarks/cfrac/primes.h b/src/benchmarks/cfrac/primes.h new file mode 100644 index 0000000..206f480 --- /dev/null +++ b/src/benchmarks/cfrac/primes.h @@ -0,0 +1,2 @@ +extern unsigned int primesize; +extern unsigned short primes[]; diff --git a/src/benchmarks/cfrac/psqrt.c b/src/benchmarks/cfrac/psqrt.c new file mode 100644 index 0000000..00531a6 --- /dev/null +++ b/src/benchmarks/cfrac/psqrt.c @@ -0,0 +1,29 @@ +#include "precision.h" + +/* + * Square root + */ +precision psqrt(y) + precision y; +{ + int i; + precision x = pUndef, lastx = pUndef; + + i = pcmpz(pparm(y)); + if (i == 0) { /* if y == 0 */ + pset(&lastx, pzero); + } else if (i < 0) { /* if y negative */ + pset(&x, errorp(PDOMAIN, "psqrt", "negative argument")); + } else { + pset(&x, y); + do { + pset(&lastx, x); + pset(&x, phalf(padd(x, pdiv(y, x)))); + } while (plt(x, lastx)); + } + + pdestroy(x); + + pdestroy(y); + return presult(lastx); +} diff --git a/src/benchmarks/cfrac/psub.c b/src/benchmarks/cfrac/psub.c new file mode 100644 index 0000000..d887287 --- /dev/null +++ b/src/benchmarks/cfrac/psub.c @@ -0,0 +1,92 @@ +#include "pdefs.h" +#include "precision.h" +#include <string.h> + +#ifdef ASM_16BIT +#include "asm16bit.h" +#endif + +/* + * Subtract u from v (assumes normalized) + */ +precision psub(u, v) +#ifndef ASM_16BIT + precision u, v; +{ + register digitPtr HiDigit, wPtr, uPtr; + register digitPtr vPtr; +#else + register precision u, v; +{ + register digitPtr wPtr, uPtr; +#endif + precision w; + register accumulator temp; +#ifndef ASM_16BIT + register digit noborrow; +#endif + register int i; + + (void) pparm(u); + (void) pparm(v); + if (u->sign != v->sign) { /* Are we actually adding? */ + w = pUndef; + v->sign = !v->sign; /* may generate -0 */ + pset(&w, padd(u, v)); + v->sign = !v->sign; + } else { + i = pcmp(u, v); + if (u->sign) i = -i; /* compare magnitudes only */ + + if (i < 0) { + w = u; u = v; v = w; /* make u the largest */ + } + + w = palloc(u->size); /* may produce much wasted storage */ + if (w == pUndef) return w; + + if (i < 0) w->sign = !u->sign; else w->sign = u->sign; + + uPtr = u->value; + wPtr = w->value; +#ifndef ASM_16BIT + vPtr = v->value; + noborrow = 1; + + HiDigit = v->value + v->size; /* digits in both args */ + do { + temp = (BASE-1) - *vPtr++; /* 0 <= temp < base */ + temp += *uPtr++; /* 0 <= temp < 2*base-1 */ + temp += noborrow; /* 0 <= temp < 2*base */ + noborrow = divBase(temp); /* 0 <= noborrow <= 1 */ + *wPtr++ = modBase(temp); + } while (vPtr < HiDigit); + + HiDigit = u->value + u->size; /* propagate borrow */ + while (uPtr < HiDigit) { + temp = (BASE-1) + *uPtr++; + temp += noborrow; /* 0 <= temp < 2 * base */ + noborrow = divBase(temp); /* 0 <= noborrow <= 1 */ + *wPtr++ = modBase(temp); + } /* noborrow = 1 */ +#else + i = v->size; + temp = u->size - i; + if (temp > 0) { + memcpy(wPtr + i, uPtr + i, temp * sizeof(digit)); + } + if (memsubw(wPtr, uPtr, v->value, i)) { /* trashes uPtr */ + memdecw(wPtr + i, temp); + } + wPtr += w->size; +#endif + do { /* normalize */ + if (*--wPtr != 0) break; + } while (wPtr > w->value); + w->size = (wPtr - w->value) + 1; + } + + pdestroy(u); + pdestroy(v); + return presult(w); +} diff --git a/src/benchmarks/cfrac/ptoa.c b/src/benchmarks/cfrac/ptoa.c new file mode 100644 index 0000000..a928ea2 --- /dev/null +++ b/src/benchmarks/cfrac/ptoa.c @@ -0,0 +1,71 @@ +#include <string.h> +#include "pdefs.h" +#include "pcvt.h" +#include "precision.h" + +/* + * Return the character string decimal value of a Precision + */ +#if (BASE > 10) +#define CONDIGIT(d) ((d) < 10 ? (d) + '0' : (d) + 'a'-10) +#else +#define CONDIGIT(d) ((d) + '0') +#endif + +char *ptoa(u) + precision u; +{ + register accumulator temp; + register char *dPtr; + char *d; + int i = 0; + unsigned int consize; + precision r, v, pbase; + register int j; + + (void) pparm(u); + r = pUndef; + v = pUndef; + pbase = pUndef; + + consize = (unsigned int) u->size; + if (consize > MAXINT / aDigits) { + consize = (consize / pDigits) * aDigits; + } else { + consize = (consize * aDigits) / pDigits; + } + + consize += aDigitLog + 2; /* leading 0's, sign, & '\0' */ + d = (char *) allocate((unsigned int) consize); + if (d == (char *) 0) return d; + + pset(&v, pabs(u)); + pset(&pbase, utop(aDigit)); + + dPtr = d + consize; + *--dPtr = '\0'; /* null terminate string */ + i = u->sign; /* save sign */ + do { + pdivmod(v, pbase, &v, &r); + temp = ptou(r); /* Assumes unsigned and accumulator same! */ + j = aDigitLog; + do { + *--dPtr = CONDIGIT(temp % aBase); /* remainder */ + temp = temp / aBase; + } while (--j > 0); + } while (pnez(v)); + + while (*dPtr == '0') dPtr++; /* toss leading zero's */ + if (*dPtr == '\0') --dPtr; /* but don't waste zero! */ + if (i) *--dPtr = '-'; + if (dPtr > d) { /* ASSUME copied from lower to higher! */ + (void) memcpy(d, dPtr, consize - (dPtr - d)); + } + + pdestroy(pbase); + pdestroy(v); + pdestroy(r); + + pdestroy(u); + return d; +} diff --git a/src/benchmarks/cfrac/ptob.c b/src/benchmarks/cfrac/ptob.c new file mode 100644 index 0000000..d5b04c1 --- /dev/null +++ b/src/benchmarks/cfrac/ptob.c @@ -0,0 +1,81 @@ +#include "pdefs.h" +#include "precision.h" + +/* + * Convert a precision to a given base (the sign is ignored) + * + * Input: + * u - the number to convert + * dest - Where to put the ASCII representation radix + * WARNING! Not '\0' terminated, this is an exact image + * size - the number of digits of dest. + * (alphabet[0] padded on left) + * if size is too small, truncation occurs on left + * alphabet - A mapping from each radix digit to it's character digit + * (note: '\0' is perfectly OK as a digit) + * radix - The size of the alphabet, and the conversion radix + * 2 <= radix < 256. + * + * Returns: + * -1 if invalid radix + * 0 if successful + * >0 the number didn't fit + */ +int ptob(u, dest, size, alphabet, radix) + precision u; /* the number to convert */ + char *dest; /* where to place the converted ascii */ + unsigned int size; /* the size of the result in characters */ + char *alphabet; /* the character set forming the radix */ + register unsigned int radix; /* the size of the character set */ +{ + register accumulator temp; + register unsigned int i; + register char *chp; + unsigned int lgclump; + int res = 0; + + precision r = pUndef, v = pUndef, pbase = pUndef; + + if (radix > 256 || radix < 2) return -1; + if (size == 0) return 1; + + (void) pparm(u); + temp = radix; + i = 1; + while (temp * radix > temp) { + temp *= radix; + i++; + } + lgclump = i; + + pset(&v, pabs(u)); + pset(&pbase, utop(temp)); /* assumes accumulator and int are the same! */ + + chp = dest + size; + do { + pdivmod(v, pbase, &v, &r); + temp = ptou(r); /* assumes accumulator and int are the same! */ + i = lgclump; + do { + *--chp = alphabet[temp % radix]; /* remainder */ + temp = temp / radix; + if (chp == dest) goto bail; + } while (--i > 0); + } while pnez(v); + + if (chp > dest) do { + *--chp = *alphabet; + } while (chp > dest); + +bail: + if (pnez(v) || temp != 0) { /* check for overflow */ + res = 1; + } + + pdestroy(pbase); + pdestroy(v); + pdestroy(r); + + pdestroy(u); + return res; +} diff --git a/src/benchmarks/cfrac/ptou.c b/src/benchmarks/cfrac/ptou.c new file mode 100644 index 0000000..b8ca07b --- /dev/null +++ b/src/benchmarks/cfrac/ptou.c @@ -0,0 +1,31 @@ +#include "pdefs.h" +#include "pcvt.h" +#include "precision.h" + +/* + * Precision to unsigned + */ +unsigned int ptou(u) + precision u; +{ + register digitPtr uPtr; + register accumulator temp; + + (void) pparm(u); + if (u->sign) { + temp = (unsigned long) errorp(PDOMAIN, "ptou", "negative argument"); + } else { + uPtr = u->value + u->size; + temp = 0; + do { + if (temp > divBase(MAXUNSIGNED - *--uPtr)) { + temp = (unsigned long) errorp(POVERFLOW, "ptou", "overflow"); + break; + } + temp = mulBase(temp); + temp += *uPtr; + } while (uPtr > u->value); + } + pdestroy(u); + return (unsigned int) temp; +} diff --git a/src/benchmarks/cfrac/seive.h b/src/benchmarks/cfrac/seive.h new file mode 100644 index 0000000..2e1cb85 --- /dev/null +++ b/src/benchmarks/cfrac/seive.h @@ -0,0 +1,3 @@ +extern unsigned long seivesize; + +extern unsigned char seive[]; diff --git a/src/benchmarks/cfrac/utop.c b/src/benchmarks/cfrac/utop.c new file mode 100644 index 0000000..4d87c04 --- /dev/null +++ b/src/benchmarks/cfrac/utop.c @@ -0,0 +1,25 @@ +#include "pdefs.h" +#include "pcvt.h" +#include "precision.h" + +/* + * Unsigned to Precision + */ +precision utop(i) + register unsigned int i; +{ + register digitPtr uPtr; + register precision u = palloc(INTSIZE); + + if (u == pUndef) return pUndef; + + u->sign = false; + uPtr = u->value; + do { + *uPtr++ = modBase(i); + i = divBase(i); + } while (i != 0); + + u->size = (uPtr - u->value); + return presult(u); +} |
