Merge pull request #131 from michiexile/master
Algebraic Generating Functions from parser
This commit is contained in:
Meredith L. Patterson
commit
33af1ec65c
4 changed files with 536 additions and 1 deletions
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@ -7,4 +7,5 @@ dns = example.Program('dns', ['dns.c', 'rr.c', 'dns_common.c'])
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base64 = example.Program('base64', 'base64.c')
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base64_sem1 = example.Program('base64_sem1', 'base64_sem1.c')
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base64_sem2 = example.Program('base64_sem2', 'base64_sem2.c')
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env.Alias("examples", [dns, base64, base64_sem1, base64_sem2])
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ties = example.Program('ties', ['ties.c', 'grammar.c'])
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env.Alias("examples", [dns, base64, base64_sem1, base64_sem2, ties])
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179
examples/grammar.c
Normal file
179
examples/grammar.c
Normal file
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@ -0,0 +1,179 @@
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// Generates a system of equations for generating functions from a grammar.
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//
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// (c) 2015 Mikael Vejdemo-Johansson <mikael@johanssons.org>
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//
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// If a desugared parser has user_data set, the generating function systems will try
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// to interpret it as a string:
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//
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// If this string for an h_ch starts with the character 0, then that character
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// will have weight 0 in the generating function.
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//
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// Use the remaining string to set the preferred name of that parser in the
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// generating function.
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//
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#include <inttypes.h>
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#include "../src/backends/contextfree.h"
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#include "../src/backends/lr.h"
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#include "grammar.h"
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#include <stdio.h>
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const char *nonterminal_name(const HCFGrammar *g, const HCFChoice *nt) {
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// if user_data exists and is printable:
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if(nt->user_data != NULL && *(char*)(nt->user_data) > ' ' && *(char*)(nt->user_data) < 127) {
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if(*(char*)(nt->user_data) != '0') {
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// user_data is a non-empty string
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return nt->user_data;
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} else {
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return nt->user_data+1;
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}
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}
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static char buf[16] = {0}; // 14 characters in base 26 are enough for 64 bits
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// find nt's number in g
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size_t n = (uintptr_t)h_hashtable_get(g->nts, nt);
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// NB the start symbol (number 0) is always "A".
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int i;
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for(i=14; i>=0 && (n>0 || i==14); i--) {
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buf[i] = 'A' + n%26;
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n = n/26; // shift one digit
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}
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return buf+i+1;
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}
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void readsequence(FILE *file, uint32_t *count, uint32_t *length,
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const HCFGrammar *g, const HCFSequence *seq) {
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// tally up numbers of choices, and lengths of emitted strings.
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// Immediately emit any nonterminals encountered.
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HCFChoice** x = seq->items;
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fprintf(file, "1");
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if (*x == NULL) {
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// empty sequence
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// GF is 1
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return;
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} else {
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char has_user_data = (*x)->user_data != NULL && *(char*)(*x)->user_data != 0;
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HCharset cs;
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unsigned int i, cscount=0;
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for(; *x; x++) {
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switch((*x)->type) {
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case HCF_CHAR:
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if(!(has_user_data && *(char*)(*x)->user_data == '0')) {
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(*length)++;
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}
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break;
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case HCF_END:
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break;
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case HCF_CHARSET:
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cs = (*x)->charset;
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for(i=0; i<256; i++) {
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if (charset_isset(cs, i)) {
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cscount++;
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}
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}
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*count *= cscount;
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break;
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default: // HCF_CHOICE, non-terminal symbol
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fprintf(file, "*%s", nonterminal_name(g, *x));
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break;
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}
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}
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}
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}
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// For each nt in g->nts
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// For each choice in nt->key->seq
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// For all elements in sequence
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// Accumulate counts
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// Accumulate string lengths
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// Emit count*t^length
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void h_pprint_gfeqns(FILE *file, const HCFGrammar *g) {
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if (g->nts->used < 1) {
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return;
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}
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// determine maximum string length of symbol names
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int len;
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size_t s;
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for(len=1, s=26; s < g->nts->used; len++, s*=26);
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// emit the SageMath ring init string
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// iterate over g->nts, output symbols
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size_t i;
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HHashTableEntry *hte;
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fprintf(file, "ring.<t");
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for(i=0; i < g->nts->capacity; i++) {
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for(hte = &g->nts->contents[i]; hte; hte = hte->next) {
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if (hte->key == NULL) {
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continue;
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}
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const HCFChoice *nt = hte->key;
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fprintf(file, ",");
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fprintf(file, "%s", nonterminal_name(g, nt));
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}
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}
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fprintf(file, "> = QQ[]\n");
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// iterate over g->nts
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// emit a Sage ideal definition
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int j=0;
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fprintf(file, "ID = ring.ideal(");
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for(i=0; i < g->nts->capacity; i++) {
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for(hte = &g->nts->contents[i]; hte; hte = hte->next) {
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if (hte->key == NULL) {
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continue;
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}
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if(j>0) {
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fprintf(file, ",");
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}
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j++;
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const HCFChoice *nt = hte->key;
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const char *ntn = nonterminal_name(g, nt);
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if(*ntn == 0) {
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continue;
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}
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fprintf(file, "%s - (", ntn);
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for(HCFSequence **seq = nt->seq; *seq; seq++) {
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if (seq != nt->seq) {
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fprintf(file, " + ");
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}
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uint32_t count=1, length=0;
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readsequence(file, &count, &length, g, *seq);
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if(count == 1) {
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if(length == 1) {
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fprintf(file, "*t");
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}
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if(length > 1) {
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fprintf(file, "*t^%d", length);
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}
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} else if(count > 1) {
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if(length == 0) {
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fprintf(file, "*%d", count);
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}
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if(length == 1) {
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fprintf(file, "*%d*t", count);
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}
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if (length > 1) {
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fprintf(file, "*%d*t^%d", count, length);
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}
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}
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}
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fprintf(file, ")");
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}
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}
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fprintf(file, ")\n");
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}
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46
examples/grammar.h
Normal file
46
examples/grammar.h
Normal file
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@ -0,0 +1,46 @@
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// Generates a system of equations for generating functions from a grammar.
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//
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// (c) 2015 Mikael Vejdemo-Johansson <mikael@johanssons.org>
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//
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// Currently does absolutely no elegance, no caching of information, but rather
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// just prints the generating functions to a provided FILE*.
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//
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// If a desugared parser has user_data set, the generating function systems will try
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// to interpret it as a string:
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//
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// If this string for an h_ch starts with the character 0, then that character
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// will have weight 0 in the generating function.
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//
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// Use the remaining string to set the preferred name of that parser in the
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// generating function.
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//
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#ifndef HAMMER_GRAMMAR__H
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#define HAMMER_GRAMMAR__H
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#include "../src/backends/contextfree.h"
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#include "../src/backends/lr.h"
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// Filched from cfgrammar.c this function extracts the name from user_data if it
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// is set; otherwise assigns a name automatically from its position in some
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// ordering of non-terminals.
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const char *nonterminal_name(const HCFGrammar *g, const HCFChoice *nt);
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// This function prints out the monomial generated by a single HCFSequence
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// It returns the resulting exponent for t in length and the number of alternatives
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// accumulated in length. The monomial is (mostly) printed out to the provided FILE*,
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// the caller is responsible for adding a scalar and a power of t to the printout.
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void readsequence(FILE *file, uint32_t *count, uint32_t *length,
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const HCFGrammar *g, const HCFSequence *seq);
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// This function walks through a grammar and generates an equation for each
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// production rule. The results are printed out to the provided FILE*.
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void h_pprint_gfeqns(FILE *file, const HCFGrammar *g);
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#endif
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309
examples/ties.c
Normal file
309
examples/ties.c
Normal file
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@ -0,0 +1,309 @@
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// Intention: read in a parser, generate the system of equations for its
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// generating functions
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//
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#include <inttypes.h>
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#include "../src/backends/contextfree.h"
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#include "../src/backends/lr.h"
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#include "grammar.h"
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#include <stdio.h>
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HAllocator *mm__;
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HParser* cfExample() {
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HParser *n = h_ch('n');
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HParser *E = h_indirect();
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HParser *T = h_choice(h_sequence(h_ch('('), E, h_ch(')'), NULL), n, NULL);
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HParser *E_ = h_choice(h_sequence(E, h_ch('-'), T, NULL), T, NULL);
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h_bind_indirect(E, E_);
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return E;
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}
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// The tie knot parsers below would work better if we could patch the gen.function
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// code above to allow user specification of non-default byte string "lengths",
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// so that U symbols don't contribute with factors of t to the gen. function.
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//
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// Alternatively: use multivariate generating functions to spit out different
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// variables for different terminals. This gets really messy with bigger alphabets.
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HParser* finkmao() {
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HParser *L = h_ch('L');
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HParser *R = h_ch('R');
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HParser *C = h_ch('C');
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HParser *U = h_ch('U');
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HParser *Lnext = h_indirect();
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HParser *Rnext = h_indirect();
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HParser *Cnext = h_indirect();
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HParser *L_ = h_choice(h_sequence(R, Rnext, NULL),
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h_sequence(C, Cnext, NULL),
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h_sequence(R, C, U, NULL), NULL);
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HParser *R_ = h_choice(h_sequence(L, Lnext, NULL),
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h_sequence(C, Cnext, NULL),
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h_sequence(L, C, U, NULL), NULL);
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HParser *C_ = h_choice(h_sequence(R, Rnext, NULL),
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h_sequence(L, Lnext, NULL), NULL);
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h_bind_indirect(Lnext, L_);
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h_bind_indirect(Rnext, R_);
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h_bind_indirect(Cnext, C_);
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HParser *tie = h_sequence(L, Lnext, NULL);
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h_desugar_augmented(mm__, tie);
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L->desugared->user_data = "L";
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R->desugared->user_data = "R";
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C->desugared->user_data = "C";
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Lnext->desugared->user_data = "Ln";
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Rnext->desugared->user_data = "Rn";
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Cnext->desugared->user_data = "Cn";
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tie->desugared->user_data = "tie";
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U->desugared->user_data = "0U";
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return tie;
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}
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HParser* finkmaoTW() {
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HParser *T = h_ch('T');
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HParser *W = h_ch('W');
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HParser *U = h_ch('U');
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HParser *prefix = h_choice(T, W, h_epsilon_p(),
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NULL);
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HParser *pair = h_choice(h_sequence(T, T, NULL),
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h_sequence(W, T, NULL),
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h_sequence(T, W, NULL),
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h_sequence(W, W, NULL), NULL);
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HParser *tuck = h_choice(h_sequence(T, T, U, NULL),
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h_sequence(W, W, U, NULL),
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NULL);
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HParser *pairstar = h_indirect();
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HParser *pstar_ = h_choice(h_sequence(pair, pairstar, NULL),
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h_epsilon_p(),
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NULL);
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h_bind_indirect(pairstar, pstar_);
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HParser* tie = h_sequence(prefix, pairstar, tuck, NULL);
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h_desugar_augmented(mm__, tie);
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T->desugared->user_data = "T";
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W->desugared->user_data = "W";
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U->desugared->user_data = "0U";
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prefix->desugared->user_data = "prefix";
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pair->desugared->user_data = "pair";
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tuck->desugared->user_data = "tuck";
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pstar_->desugared->user_data = "pairstar";
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tie->desugared->user_data = "tie";
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return tie;
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}
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HParser* depth1TW() {
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HParser *T = h_ch('T');
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HParser *W = h_ch('W');
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HParser *U = h_ch('U');
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HParser *prefix = h_choice(T, W, h_epsilon_p(), NULL);
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HParser *pair = h_choice(h_sequence(T, T, NULL),
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h_sequence(W, T, NULL),
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h_sequence(T, W, NULL),
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h_sequence(W, W, NULL), NULL);
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HParser *tuck = h_choice(h_sequence(T, T, U, NULL),
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h_sequence(W, W, U, NULL),
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NULL);
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HParser *tuckpairstar = h_indirect();
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HParser *tpstar_ = h_choice(h_sequence(pair, tuckpairstar, NULL),
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h_sequence(tuck, tuckpairstar, NULL),
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h_epsilon_p(),
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NULL);
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h_bind_indirect(tuckpairstar, tpstar_);
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HParser *tie = h_choice(h_sequence(prefix, tuckpairstar, tuck, NULL), NULL);
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h_desugar_augmented(mm__, tie);
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T->desugared->user_data = "T";
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W->desugared->user_data = "W";
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U->desugared->user_data = "0U";
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prefix->desugared->user_data = "prefix";
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pair->desugared->user_data = "pair";
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tuck->desugared->user_data = "tuck";
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tpstar_->desugared->user_data = "tuckpairstar";
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tie->desugared->user_data = "tie";
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return tie;
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}
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HParser* depth1() {
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HParser *L = h_ch('L');
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HParser *R = h_ch('R');
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HParser *C = h_ch('C');
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HParser *U = h_ch('U');
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HParser *lastR = h_indirect();
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HParser *lastL = h_indirect();
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HParser *lastC = h_indirect();
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HParser *R_ = h_choice(h_sequence(L, R, lastR, NULL),
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h_sequence(C, R, lastR, NULL),
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h_sequence(L, C, lastC, NULL),
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h_sequence(L, C, U, lastC, NULL),
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h_sequence(L, C, U, NULL),
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h_sequence(C, L, lastL, NULL),
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h_sequence(C, L, U, lastL, NULL),
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h_sequence(C, L, U, NULL),
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NULL);
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HParser *L_ = h_choice(h_sequence(R, L, lastR, NULL),
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h_sequence(C, L, lastR, NULL),
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h_sequence(R, C, lastC, NULL),
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h_sequence(R, C, U, lastC, NULL),
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h_sequence(R, C, U, NULL),
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h_sequence(C, R, lastR, NULL),
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h_sequence(C, R, U, lastR, NULL),
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h_sequence(C, R, U, NULL),
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NULL);
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HParser *C_ = h_choice(h_sequence(L, C, lastR, NULL),
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h_sequence(R, C, lastR, NULL),
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h_sequence(L, R, lastR, NULL),
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h_sequence(L, R, U, lastR, NULL),
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h_sequence(L, R, U, NULL),
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h_sequence(R, L, lastL, NULL),
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h_sequence(R, L, U, lastL, NULL),
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h_sequence(R, L, U, NULL),
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NULL);
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h_bind_indirect(lastR, R_);
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h_bind_indirect(lastL, L_);
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h_bind_indirect(lastC, C_);
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HParser* tie = h_choice(h_sequence(L, lastL, NULL),
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h_sequence(R, lastR, NULL),
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h_sequence(C, lastC, NULL),
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NULL);
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h_desugar_augmented(mm__, tie);
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L->desugared->user_data = "L";
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R->desugared->user_data = "R";
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C->desugared->user_data = "C";
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U->desugared->user_data = "0U";
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lastL ->desugared->user_data = "Ln";
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lastR->desugared->user_data = "Rn";
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lastC->desugared->user_data = "Cn";
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tie->desugared->user_data = "tie";
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return tie;
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}
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HParser* depthNTW() {
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HParser *T = h_ch('T');
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HParser *W = h_ch('W');
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HParser *U = h_ch('U');
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HParser *prefix = h_choice(T, W, h_epsilon_p(), NULL);
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HParser *pair = h_choice(h_sequence(T, T, NULL),
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h_sequence(W, T, NULL),
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h_sequence(T, W, NULL),
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h_sequence(W, W, NULL), NULL);
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HParser *tstart = h_indirect();
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HParser *tw0 = h_indirect();
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HParser *tw1 = h_indirect();
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HParser *tw2 = h_indirect();
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HParser *wstart = h_indirect();
|
||||
HParser *wt0 = h_indirect();
|
||||
HParser *wt1 = h_indirect();
|
||||
HParser *wt2 = h_indirect();
|
||||
|
||||
HParser *T_ = h_choice(h_sequence(T, T, tw2, U, NULL),
|
||||
h_sequence(T, W, tw0, U, NULL),
|
||||
NULL);
|
||||
HParser *tw0_ = h_choice(h_sequence(T, T, tw2, U, NULL),
|
||||
h_sequence(T, W, tw0, U, NULL),
|
||||
h_sequence(W, T, tw0, U, NULL),
|
||||
h_sequence(W, W, tw1, U, NULL),
|
||||
h_sequence(tstart, tw2, U, NULL),
|
||||
h_sequence(wstart, tw1, U, NULL),
|
||||
NULL);
|
||||
HParser *tw1_ = h_choice(h_sequence(T, T, tw0, U, NULL),
|
||||
h_sequence(T, W, tw1, U, NULL),
|
||||
h_sequence(W, T, tw1, U, NULL),
|
||||
h_sequence(W, W, tw2, U, NULL),
|
||||
h_sequence(tstart, tw0, U, NULL),
|
||||
h_sequence(wstart, tw2, U, NULL),
|
||||
NULL);
|
||||
HParser *tw2_ = h_choice(h_sequence(T, T, tw1, U, NULL),
|
||||
h_sequence(T, W, tw2, U, NULL),
|
||||
h_sequence(W, T, tw2, U, NULL),
|
||||
h_sequence(W, W, tw0, U, NULL),
|
||||
h_sequence(tstart, tw1, U, NULL),
|
||||
h_sequence(wstart, tw0, U, NULL),
|
||||
h_epsilon_p(),
|
||||
NULL);
|
||||
|
||||
HParser *W_ = h_choice(h_sequence(W, W, wt2, U, NULL),
|
||||
h_sequence(W, T, wt0, U, NULL),
|
||||
NULL);
|
||||
HParser *wt0_ = h_choice(h_sequence(W, W, wt2, U, NULL),
|
||||
h_sequence(W, T, wt0, U, NULL),
|
||||
h_sequence(T, W, wt0, U, NULL),
|
||||
h_sequence(T, T, wt1, U, NULL),
|
||||
h_sequence(wstart, wt2, U, NULL),
|
||||
h_sequence(tstart, wt1, U, NULL),
|
||||
NULL);
|
||||
HParser *wt1_ = h_choice(h_sequence(W, W, wt0, U, NULL),
|
||||
h_sequence(W, T, wt1, U, NULL),
|
||||
h_sequence(T, W, wt1, U, NULL),
|
||||
h_sequence(T, T, wt2, U, NULL),
|
||||
h_sequence(wstart, wt0, U, NULL),
|
||||
h_sequence(tstart, wt2, U, NULL),
|
||||
NULL);
|
||||
HParser *wt2_ = h_choice(h_sequence(W, W, wt1, U, NULL),
|
||||
h_sequence(W, T, wt2, U, NULL),
|
||||
h_sequence(T, W, wt2, U, NULL),
|
||||
h_sequence(T, T, wt0, U, NULL),
|
||||
h_sequence(wstart, wt1, U, NULL),
|
||||
h_sequence(tstart, wt0, U, NULL),
|
||||
h_epsilon_p(),
|
||||
NULL);
|
||||
|
||||
h_bind_indirect(tstart, T_);
|
||||
h_bind_indirect(tw0, tw0_);
|
||||
h_bind_indirect(tw1, tw1_);
|
||||
h_bind_indirect(tw2, tw2_);
|
||||
h_bind_indirect(wstart, W_);
|
||||
h_bind_indirect(wt0, wt0_);
|
||||
h_bind_indirect(wt1, wt1_);
|
||||
h_bind_indirect(wt2, wt2_);
|
||||
HParser *tuck = h_choice(tstart, wstart, NULL);
|
||||
|
||||
HParser *tuckpairstar = h_indirect();
|
||||
HParser *tpstar_ = h_choice(h_sequence(pair, tuckpairstar, NULL),
|
||||
h_sequence(tuck, tuckpairstar, NULL),
|
||||
h_epsilon_p(),
|
||||
NULL);
|
||||
h_bind_indirect(tuckpairstar, tpstar_);
|
||||
|
||||
HParser *tie = h_choice(h_sequence(prefix, tuckpairstar, tuck, NULL), NULL);
|
||||
|
||||
h_desugar_augmented(mm__, tie);
|
||||
|
||||
T->desugared->user_data = "T";
|
||||
W->desugared->user_data = "W";
|
||||
U->desugared->user_data = "0U";
|
||||
prefix->desugared->user_data = "prefix";
|
||||
pair->desugared->user_data = "pair";
|
||||
tuck->desugared->user_data = "tuck";
|
||||
tpstar_->desugared->user_data = "tuckpairstar";
|
||||
tie->desugared->user_data = "tie";
|
||||
|
||||
return tie;
|
||||
}
|
||||
|
||||
|
||||
int main(int argc, char **argv) {
|
||||
mm__ = &system_allocator;
|
||||
|
||||
HParser *p = finkmao();
|
||||
HCFGrammar *g = h_cfgrammar_(mm__, h_desugar_augmented(mm__, p));
|
||||
if (g == NULL) {
|
||||
fprintf(stderr, "h_cfgrammar failed\n");
|
||||
return 1;
|
||||
}
|
||||
printf("\n==== Generating functions ====\n");
|
||||
h_pprint_gfeqns(stdout, g);
|
||||
|
||||
printf("\n==== Grammar ====\n");
|
||||
h_pprint_grammar(stdout, g, 0);
|
||||
}
|
||||
Loading…
Add table
Add a link
Reference in a new issue