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-rw-r--r--usr.bin/mandoc/eqn.c1130
1 files changed, 1130 insertions, 0 deletions
diff --git a/usr.bin/mandoc/eqn.c b/usr.bin/mandoc/eqn.c
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--- /dev/null
+++ b/usr.bin/mandoc/eqn.c
@@ -0,0 +1,1130 @@
+/* $OpenBSD: eqn.c,v 1.47 2020/01/08 12:09:14 schwarze Exp $ */
+/*
+ * Copyright (c) 2011, 2014 Kristaps Dzonsons <kristaps@bsd.lv>
+ * Copyright (c) 2014,2015,2017,2018,2020 Ingo Schwarze <schwarze@openbsd.org>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ */
+#include <sys/types.h>
+
+#include <assert.h>
+#include <ctype.h>
+#include <limits.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <time.h>
+
+#include "mandoc_aux.h"
+#include "mandoc.h"
+#include "roff.h"
+#include "eqn.h"
+#include "libmandoc.h"
+#include "eqn_parse.h"
+
+#define EQN_NEST_MAX 128 /* maximum nesting of defines */
+#define STRNEQ(p1, sz1, p2, sz2) \
+ ((sz1) == (sz2) && 0 == strncmp((p1), (p2), (sz1)))
+
+enum eqn_tok {
+ EQN_TOK_DYAD = 0,
+ EQN_TOK_VEC,
+ EQN_TOK_UNDER,
+ EQN_TOK_BAR,
+ EQN_TOK_TILDE,
+ EQN_TOK_HAT,
+ EQN_TOK_DOT,
+ EQN_TOK_DOTDOT,
+ EQN_TOK_FWD,
+ EQN_TOK_BACK,
+ EQN_TOK_DOWN,
+ EQN_TOK_UP,
+ EQN_TOK_FAT,
+ EQN_TOK_ROMAN,
+ EQN_TOK_ITALIC,
+ EQN_TOK_BOLD,
+ EQN_TOK_SIZE,
+ EQN_TOK_SUB,
+ EQN_TOK_SUP,
+ EQN_TOK_SQRT,
+ EQN_TOK_OVER,
+ EQN_TOK_FROM,
+ EQN_TOK_TO,
+ EQN_TOK_BRACE_OPEN,
+ EQN_TOK_BRACE_CLOSE,
+ EQN_TOK_GSIZE,
+ EQN_TOK_GFONT,
+ EQN_TOK_MARK,
+ EQN_TOK_LINEUP,
+ EQN_TOK_LEFT,
+ EQN_TOK_RIGHT,
+ EQN_TOK_PILE,
+ EQN_TOK_LPILE,
+ EQN_TOK_RPILE,
+ EQN_TOK_CPILE,
+ EQN_TOK_MATRIX,
+ EQN_TOK_CCOL,
+ EQN_TOK_LCOL,
+ EQN_TOK_RCOL,
+ EQN_TOK_DELIM,
+ EQN_TOK_DEFINE,
+ EQN_TOK_TDEFINE,
+ EQN_TOK_NDEFINE,
+ EQN_TOK_UNDEF,
+ EQN_TOK_ABOVE,
+ EQN_TOK__MAX,
+ EQN_TOK_FUNC,
+ EQN_TOK_QUOTED,
+ EQN_TOK_SYM,
+ EQN_TOK_EOF
+};
+
+static const char *eqn_toks[EQN_TOK__MAX] = {
+ "dyad", /* EQN_TOK_DYAD */
+ "vec", /* EQN_TOK_VEC */
+ "under", /* EQN_TOK_UNDER */
+ "bar", /* EQN_TOK_BAR */
+ "tilde", /* EQN_TOK_TILDE */
+ "hat", /* EQN_TOK_HAT */
+ "dot", /* EQN_TOK_DOT */
+ "dotdot", /* EQN_TOK_DOTDOT */
+ "fwd", /* EQN_TOK_FWD * */
+ "back", /* EQN_TOK_BACK */
+ "down", /* EQN_TOK_DOWN */
+ "up", /* EQN_TOK_UP */
+ "fat", /* EQN_TOK_FAT */
+ "roman", /* EQN_TOK_ROMAN */
+ "italic", /* EQN_TOK_ITALIC */
+ "bold", /* EQN_TOK_BOLD */
+ "size", /* EQN_TOK_SIZE */
+ "sub", /* EQN_TOK_SUB */
+ "sup", /* EQN_TOK_SUP */
+ "sqrt", /* EQN_TOK_SQRT */
+ "over", /* EQN_TOK_OVER */
+ "from", /* EQN_TOK_FROM */
+ "to", /* EQN_TOK_TO */
+ "{", /* EQN_TOK_BRACE_OPEN */
+ "}", /* EQN_TOK_BRACE_CLOSE */
+ "gsize", /* EQN_TOK_GSIZE */
+ "gfont", /* EQN_TOK_GFONT */
+ "mark", /* EQN_TOK_MARK */
+ "lineup", /* EQN_TOK_LINEUP */
+ "left", /* EQN_TOK_LEFT */
+ "right", /* EQN_TOK_RIGHT */
+ "pile", /* EQN_TOK_PILE */
+ "lpile", /* EQN_TOK_LPILE */
+ "rpile", /* EQN_TOK_RPILE */
+ "cpile", /* EQN_TOK_CPILE */
+ "matrix", /* EQN_TOK_MATRIX */
+ "ccol", /* EQN_TOK_CCOL */
+ "lcol", /* EQN_TOK_LCOL */
+ "rcol", /* EQN_TOK_RCOL */
+ "delim", /* EQN_TOK_DELIM */
+ "define", /* EQN_TOK_DEFINE */
+ "tdefine", /* EQN_TOK_TDEFINE */
+ "ndefine", /* EQN_TOK_NDEFINE */
+ "undef", /* EQN_TOK_UNDEF */
+ "above", /* EQN_TOK_ABOVE */
+};
+
+static const char *const eqn_func[] = {
+ "acos", "acsc", "and", "arc", "asec", "asin", "atan",
+ "cos", "cosh", "coth", "csc", "det", "exp", "for",
+ "if", "lim", "ln", "log", "max", "min",
+ "sec", "sin", "sinh", "tan", "tanh", "Im", "Re",
+};
+
+enum eqn_symt {
+ EQNSYM_alpha = 0,
+ EQNSYM_beta,
+ EQNSYM_chi,
+ EQNSYM_delta,
+ EQNSYM_epsilon,
+ EQNSYM_eta,
+ EQNSYM_gamma,
+ EQNSYM_iota,
+ EQNSYM_kappa,
+ EQNSYM_lambda,
+ EQNSYM_mu,
+ EQNSYM_nu,
+ EQNSYM_omega,
+ EQNSYM_omicron,
+ EQNSYM_phi,
+ EQNSYM_pi,
+ EQNSYM_ps,
+ EQNSYM_rho,
+ EQNSYM_sigma,
+ EQNSYM_tau,
+ EQNSYM_theta,
+ EQNSYM_upsilon,
+ EQNSYM_xi,
+ EQNSYM_zeta,
+ EQNSYM_DELTA,
+ EQNSYM_GAMMA,
+ EQNSYM_LAMBDA,
+ EQNSYM_OMEGA,
+ EQNSYM_PHI,
+ EQNSYM_PI,
+ EQNSYM_PSI,
+ EQNSYM_SIGMA,
+ EQNSYM_THETA,
+ EQNSYM_UPSILON,
+ EQNSYM_XI,
+ EQNSYM_inter,
+ EQNSYM_union,
+ EQNSYM_prod,
+ EQNSYM_int,
+ EQNSYM_sum,
+ EQNSYM_grad,
+ EQNSYM_del,
+ EQNSYM_times,
+ EQNSYM_cdot,
+ EQNSYM_nothing,
+ EQNSYM_approx,
+ EQNSYM_prime,
+ EQNSYM_half,
+ EQNSYM_partial,
+ EQNSYM_inf,
+ EQNSYM_muchgreat,
+ EQNSYM_muchless,
+ EQNSYM_larrow,
+ EQNSYM_rarrow,
+ EQNSYM_pm,
+ EQNSYM_nequal,
+ EQNSYM_equiv,
+ EQNSYM_lessequal,
+ EQNSYM_moreequal,
+ EQNSYM_minus,
+ EQNSYM__MAX
+};
+
+struct eqnsym {
+ const char *str;
+ const char *sym;
+};
+
+static const struct eqnsym eqnsyms[EQNSYM__MAX] = {
+ { "alpha", "*a" }, /* EQNSYM_alpha */
+ { "beta", "*b" }, /* EQNSYM_beta */
+ { "chi", "*x" }, /* EQNSYM_chi */
+ { "delta", "*d" }, /* EQNSYM_delta */
+ { "epsilon", "*e" }, /* EQNSYM_epsilon */
+ { "eta", "*y" }, /* EQNSYM_eta */
+ { "gamma", "*g" }, /* EQNSYM_gamma */
+ { "iota", "*i" }, /* EQNSYM_iota */
+ { "kappa", "*k" }, /* EQNSYM_kappa */
+ { "lambda", "*l" }, /* EQNSYM_lambda */
+ { "mu", "*m" }, /* EQNSYM_mu */
+ { "nu", "*n" }, /* EQNSYM_nu */
+ { "omega", "*w" }, /* EQNSYM_omega */
+ { "omicron", "*o" }, /* EQNSYM_omicron */
+ { "phi", "*f" }, /* EQNSYM_phi */
+ { "pi", "*p" }, /* EQNSYM_pi */
+ { "psi", "*q" }, /* EQNSYM_psi */
+ { "rho", "*r" }, /* EQNSYM_rho */
+ { "sigma", "*s" }, /* EQNSYM_sigma */
+ { "tau", "*t" }, /* EQNSYM_tau */
+ { "theta", "*h" }, /* EQNSYM_theta */
+ { "upsilon", "*u" }, /* EQNSYM_upsilon */
+ { "xi", "*c" }, /* EQNSYM_xi */
+ { "zeta", "*z" }, /* EQNSYM_zeta */
+ { "DELTA", "*D" }, /* EQNSYM_DELTA */
+ { "GAMMA", "*G" }, /* EQNSYM_GAMMA */
+ { "LAMBDA", "*L" }, /* EQNSYM_LAMBDA */
+ { "OMEGA", "*W" }, /* EQNSYM_OMEGA */
+ { "PHI", "*F" }, /* EQNSYM_PHI */
+ { "PI", "*P" }, /* EQNSYM_PI */
+ { "PSI", "*Q" }, /* EQNSYM_PSI */
+ { "SIGMA", "*S" }, /* EQNSYM_SIGMA */
+ { "THETA", "*H" }, /* EQNSYM_THETA */
+ { "UPSILON", "*U" }, /* EQNSYM_UPSILON */
+ { "XI", "*C" }, /* EQNSYM_XI */
+ { "inter", "ca" }, /* EQNSYM_inter */
+ { "union", "cu" }, /* EQNSYM_union */
+ { "prod", "product" }, /* EQNSYM_prod */
+ { "int", "integral" }, /* EQNSYM_int */
+ { "sum", "sum" }, /* EQNSYM_sum */
+ { "grad", "gr" }, /* EQNSYM_grad */
+ { "del", "gr" }, /* EQNSYM_del */
+ { "times", "mu" }, /* EQNSYM_times */
+ { "cdot", "pc" }, /* EQNSYM_cdot */
+ { "nothing", "&" }, /* EQNSYM_nothing */
+ { "approx", "~~" }, /* EQNSYM_approx */
+ { "prime", "fm" }, /* EQNSYM_prime */
+ { "half", "12" }, /* EQNSYM_half */
+ { "partial", "pd" }, /* EQNSYM_partial */
+ { "inf", "if" }, /* EQNSYM_inf */
+ { ">>", ">>" }, /* EQNSYM_muchgreat */
+ { "<<", "<<" }, /* EQNSYM_muchless */
+ { "<-", "<-" }, /* EQNSYM_larrow */
+ { "->", "->" }, /* EQNSYM_rarrow */
+ { "+-", "+-" }, /* EQNSYM_pm */
+ { "!=", "!=" }, /* EQNSYM_nequal */
+ { "==", "==" }, /* EQNSYM_equiv */
+ { "<=", "<=" }, /* EQNSYM_lessequal */
+ { ">=", ">=" }, /* EQNSYM_moreequal */
+ { "-", "mi" }, /* EQNSYM_minus */
+};
+
+enum parse_mode {
+ MODE_QUOTED,
+ MODE_NOSUB,
+ MODE_SUB,
+ MODE_TOK
+};
+
+struct eqn_def {
+ char *key;
+ size_t keysz;
+ char *val;
+ size_t valsz;
+};
+
+static struct eqn_box *eqn_box_alloc(struct eqn_node *, struct eqn_box *);
+static struct eqn_box *eqn_box_makebinary(struct eqn_node *,
+ struct eqn_box *);
+static void eqn_def(struct eqn_node *);
+static struct eqn_def *eqn_def_find(struct eqn_node *);
+static void eqn_delim(struct eqn_node *);
+static enum eqn_tok eqn_next(struct eqn_node *, enum parse_mode);
+static void eqn_undef(struct eqn_node *);
+
+
+struct eqn_node *
+eqn_alloc(void)
+{
+ struct eqn_node *ep;
+
+ ep = mandoc_calloc(1, sizeof(*ep));
+ ep->gsize = EQN_DEFSIZE;
+ return ep;
+}
+
+void
+eqn_reset(struct eqn_node *ep)
+{
+ free(ep->data);
+ ep->data = ep->start = ep->end = NULL;
+ ep->sz = ep->toksz = 0;
+}
+
+void
+eqn_read(struct eqn_node *ep, const char *p)
+{
+ char *cp;
+
+ if (ep->data == NULL) {
+ ep->sz = strlen(p);
+ ep->data = mandoc_strdup(p);
+ } else {
+ ep->sz = mandoc_asprintf(&cp, "%s %s", ep->data, p);
+ free(ep->data);
+ ep->data = cp;
+ }
+ ep->sz += 1;
+}
+
+/*
+ * Find the key "key" of the give size within our eqn-defined values.
+ */
+static struct eqn_def *
+eqn_def_find(struct eqn_node *ep)
+{
+ int i;
+
+ for (i = 0; i < (int)ep->defsz; i++)
+ if (ep->defs[i].keysz && STRNEQ(ep->defs[i].key,
+ ep->defs[i].keysz, ep->start, ep->toksz))
+ return &ep->defs[i];
+
+ return NULL;
+}
+
+/*
+ * Parse a token from the input text. The modes are:
+ * MODE_QUOTED: Use *ep->start as the delimiter; the token ends
+ * before its next occurence. Do not interpret the token in any
+ * way and return EQN_TOK_QUOTED. All other modes behave like
+ * MODE_QUOTED when *ep->start is '"'.
+ * MODE_NOSUB: If *ep->start is a curly brace, the token ends after it;
+ * otherwise, it ends before the next whitespace or brace.
+ * Do not interpret the token and return EQN_TOK__MAX.
+ * MODE_SUB: Like MODE_NOSUB, but try to interpret the token as an
+ * alias created with define. If it is an alias, replace it with
+ * its string value and reparse.
+ * MODE_TOK: Like MODE_SUB, but also check the token against the list
+ * of tokens, and if there is a match, return that token. Otherwise,
+ * if the token matches a symbol, return EQN_TOK_SYM; if it matches
+ * a function name, EQN_TOK_FUNC, or else EQN_TOK__MAX. Except for
+ * a token match, *ep->start is set to an allocated string that the
+ * caller is expected to free.
+ * All modes skip whitespace following the end of the token.
+ */
+static enum eqn_tok
+eqn_next(struct eqn_node *ep, enum parse_mode mode)
+{
+ static int last_len, lim;
+
+ struct eqn_def *def;
+ size_t start;
+ int diff, i, quoted;
+ enum eqn_tok tok;
+
+ /*
+ * Reset the recursion counter after advancing
+ * beyond the end of the previous substitution.
+ */
+ if (ep->end - ep->data >= last_len)
+ lim = 0;
+
+ ep->start = ep->end;
+ quoted = mode == MODE_QUOTED;
+ for (;;) {
+ switch (*ep->start) {
+ case '\0':
+ ep->toksz = 0;
+ return EQN_TOK_EOF;
+ case '"':
+ quoted = 1;
+ break;
+ case ' ':
+ case '\t':
+ case '~':
+ case '^':
+ if (quoted)
+ break;
+ ep->start++;
+ continue;
+ default:
+ break;
+ }
+ if (quoted) {
+ ep->end = strchr(ep->start + 1, *ep->start);
+ ep->start++; /* Skip opening quote. */
+ if (ep->end == NULL) {
+ mandoc_msg(MANDOCERR_ARG_QUOTE,
+ ep->node->line, ep->node->pos, NULL);
+ ep->end = strchr(ep->start, '\0');
+ }
+ } else {
+ ep->end = ep->start + 1;
+ if (*ep->start != '{' && *ep->start != '}')
+ ep->end += strcspn(ep->end, " ^~\"{}\t");
+ }
+ ep->toksz = ep->end - ep->start;
+ if (quoted && *ep->end != '\0')
+ ep->end++; /* Skip closing quote. */
+ while (*ep->end != '\0' && strchr(" \t^~", *ep->end) != NULL)
+ ep->end++;
+ if (quoted) /* Cannot return, may have to strndup. */
+ break;
+ if (mode == MODE_NOSUB)
+ return EQN_TOK__MAX;
+ if ((def = eqn_def_find(ep)) == NULL)
+ break;
+ if (++lim > EQN_NEST_MAX) {
+ mandoc_msg(MANDOCERR_ROFFLOOP,
+ ep->node->line, ep->node->pos, NULL);
+ return EQN_TOK_EOF;
+ }
+
+ /* Replace a defined name with its string value. */
+ if ((diff = def->valsz - ep->toksz) > 0) {
+ start = ep->start - ep->data;
+ ep->sz += diff;
+ ep->data = mandoc_realloc(ep->data, ep->sz + 1);
+ ep->start = ep->data + start;
+ }
+ if (diff)
+ memmove(ep->start + def->valsz, ep->start + ep->toksz,
+ strlen(ep->start + ep->toksz) + 1);
+ memcpy(ep->start, def->val, def->valsz);
+ last_len = ep->start - ep->data + def->valsz;
+ }
+ if (mode != MODE_TOK)
+ return quoted ? EQN_TOK_QUOTED : EQN_TOK__MAX;
+ if (quoted) {
+ ep->start = mandoc_strndup(ep->start, ep->toksz);
+ return EQN_TOK_QUOTED;
+ }
+ for (tok = 0; tok < EQN_TOK__MAX; tok++)
+ if (STRNEQ(ep->start, ep->toksz,
+ eqn_toks[tok], strlen(eqn_toks[tok])))
+ return tok;
+
+ for (i = 0; i < EQNSYM__MAX; i++) {
+ if (STRNEQ(ep->start, ep->toksz,
+ eqnsyms[i].str, strlen(eqnsyms[i].str))) {
+ mandoc_asprintf(&ep->start,
+ "\\[%s]", eqnsyms[i].sym);
+ return EQN_TOK_SYM;
+ }
+ }
+ ep->start = mandoc_strndup(ep->start, ep->toksz);
+ for (i = 0; i < (int)(sizeof(eqn_func)/sizeof(*eqn_func)); i++)
+ if (STRNEQ(ep->start, ep->toksz,
+ eqn_func[i], strlen(eqn_func[i])))
+ return EQN_TOK_FUNC;
+ return EQN_TOK__MAX;
+}
+
+void
+eqn_box_free(struct eqn_box *bp)
+{
+ if (bp == NULL)
+ return;
+
+ if (bp->first)
+ eqn_box_free(bp->first);
+ if (bp->next)
+ eqn_box_free(bp->next);
+
+ free(bp->text);
+ free(bp->left);
+ free(bp->right);
+ free(bp->top);
+ free(bp->bottom);
+ free(bp);
+}
+
+struct eqn_box *
+eqn_box_new(void)
+{
+ struct eqn_box *bp;
+
+ bp = mandoc_calloc(1, sizeof(*bp));
+ bp->expectargs = UINT_MAX;
+ return bp;
+}
+
+/*
+ * Allocate a box as the last child of the parent node.
+ */
+static struct eqn_box *
+eqn_box_alloc(struct eqn_node *ep, struct eqn_box *parent)
+{
+ struct eqn_box *bp;
+
+ bp = eqn_box_new();
+ bp->parent = parent;
+ bp->parent->args++;
+ bp->font = bp->parent->font;
+ bp->size = ep->gsize;
+
+ if (NULL != parent->first) {
+ parent->last->next = bp;
+ bp->prev = parent->last;
+ } else
+ parent->first = bp;
+
+ parent->last = bp;
+ return bp;
+}
+
+/*
+ * Reparent the current last node (of the current parent) under a new
+ * EQN_SUBEXPR as the first element.
+ * Then return the new parent.
+ * The new EQN_SUBEXPR will have a two-child limit.
+ */
+static struct eqn_box *
+eqn_box_makebinary(struct eqn_node *ep, struct eqn_box *parent)
+{
+ struct eqn_box *b, *newb;
+
+ assert(NULL != parent->last);
+ b = parent->last;
+ if (parent->last == parent->first)
+ parent->first = NULL;
+ parent->args--;
+ parent->last = b->prev;
+ b->prev = NULL;
+ newb = eqn_box_alloc(ep, parent);
+ newb->type = EQN_SUBEXPR;
+ newb->expectargs = 2;
+ newb->args = 1;
+ newb->first = newb->last = b;
+ newb->first->next = NULL;
+ b->parent = newb;
+ return newb;
+}
+
+/*
+ * Parse the "delim" control statement.
+ */
+static void
+eqn_delim(struct eqn_node *ep)
+{
+ if (ep->end[0] == '\0' || ep->end[1] == '\0') {
+ mandoc_msg(MANDOCERR_REQ_EMPTY,
+ ep->node->line, ep->node->pos, "delim");
+ if (ep->end[0] != '\0')
+ ep->end++;
+ } else if (strncmp(ep->end, "off", 3) == 0) {
+ ep->delim = 0;
+ ep->end += 3;
+ } else if (strncmp(ep->end, "on", 2) == 0) {
+ if (ep->odelim && ep->cdelim)
+ ep->delim = 1;
+ ep->end += 2;
+ } else {
+ ep->odelim = *ep->end++;
+ ep->cdelim = *ep->end++;
+ ep->delim = 1;
+ }
+}
+
+/*
+ * Undefine a previously-defined string.
+ */
+static void
+eqn_undef(struct eqn_node *ep)
+{
+ struct eqn_def *def;
+
+ if (eqn_next(ep, MODE_NOSUB) == EQN_TOK_EOF) {
+ mandoc_msg(MANDOCERR_REQ_EMPTY,
+ ep->node->line, ep->node->pos, "undef");
+ return;
+ }
+ if ((def = eqn_def_find(ep)) == NULL)
+ return;
+ free(def->key);
+ free(def->val);
+ def->key = def->val = NULL;
+ def->keysz = def->valsz = 0;
+}
+
+static void
+eqn_def(struct eqn_node *ep)
+{
+ struct eqn_def *def;
+ int i;
+
+ if (eqn_next(ep, MODE_NOSUB) == EQN_TOK_EOF) {
+ mandoc_msg(MANDOCERR_REQ_EMPTY,
+ ep->node->line, ep->node->pos, "define");
+ return;
+ }
+
+ /*
+ * Search for a key that already exists.
+ * Create a new key if none is found.
+ */
+ if ((def = eqn_def_find(ep)) == NULL) {
+ /* Find holes in string array. */
+ for (i = 0; i < (int)ep->defsz; i++)
+ if (0 == ep->defs[i].keysz)
+ break;
+
+ if (i == (int)ep->defsz) {
+ ep->defsz++;
+ ep->defs = mandoc_reallocarray(ep->defs,
+ ep->defsz, sizeof(struct eqn_def));
+ ep->defs[i].key = ep->defs[i].val = NULL;
+ }
+
+ def = ep->defs + i;
+ free(def->key);
+ def->key = mandoc_strndup(ep->start, ep->toksz);
+ def->keysz = ep->toksz;
+ }
+
+ if (eqn_next(ep, MODE_QUOTED) == EQN_TOK_EOF) {
+ mandoc_msg(MANDOCERR_REQ_EMPTY,
+ ep->node->line, ep->node->pos, "define %s", def->key);
+ free(def->key);
+ free(def->val);
+ def->key = def->val = NULL;
+ def->keysz = def->valsz = 0;
+ return;
+ }
+ free(def->val);
+ def->val = mandoc_strndup(ep->start, ep->toksz);
+ def->valsz = ep->toksz;
+}
+
+void
+eqn_parse(struct eqn_node *ep)
+{
+ struct eqn_box *cur, *nbox, *parent, *split;
+ const char *cp, *cpn;
+ char *p;
+ enum eqn_tok tok;
+ enum { CCL_LET, CCL_DIG, CCL_PUN } ccl, ccln;
+ int size;
+
+ parent = ep->node->eqn;
+ assert(parent != NULL);
+
+ /*
+ * Empty equation.
+ * Do not add it to the high-level syntax tree.
+ */
+
+ if (ep->data == NULL)
+ return;
+
+ ep->start = ep->end = ep->data;
+
+next_tok:
+ tok = eqn_next(ep, MODE_TOK);
+ switch (tok) {
+ case EQN_TOK_UNDEF:
+ eqn_undef(ep);
+ break;
+ case EQN_TOK_NDEFINE:
+ case EQN_TOK_DEFINE:
+ eqn_def(ep);
+ break;
+ case EQN_TOK_TDEFINE:
+ if (eqn_next(ep, MODE_NOSUB) == EQN_TOK_EOF ||
+ eqn_next(ep, MODE_QUOTED) == EQN_TOK_EOF)
+ mandoc_msg(MANDOCERR_REQ_EMPTY,
+ ep->node->line, ep->node->pos, "tdefine");
+ break;
+ case EQN_TOK_DELIM:
+ eqn_delim(ep);
+ break;
+ case EQN_TOK_GFONT:
+ if (eqn_next(ep, MODE_SUB) == EQN_TOK_EOF)
+ mandoc_msg(MANDOCERR_REQ_EMPTY, ep->node->line,
+ ep->node->pos, "%s", eqn_toks[tok]);
+ break;
+ case EQN_TOK_MARK:
+ case EQN_TOK_LINEUP:
+ /* Ignore these. */
+ break;
+ case EQN_TOK_DYAD:
+ case EQN_TOK_VEC:
+ case EQN_TOK_UNDER:
+ case EQN_TOK_BAR:
+ case EQN_TOK_TILDE:
+ case EQN_TOK_HAT:
+ case EQN_TOK_DOT:
+ case EQN_TOK_DOTDOT:
+ if (parent->last == NULL) {
+ mandoc_msg(MANDOCERR_EQN_NOBOX, ep->node->line,
+ ep->node->pos, "%s", eqn_toks[tok]);
+ cur = eqn_box_alloc(ep, parent);
+ cur->type = EQN_TEXT;
+ cur->text = mandoc_strdup("");
+ }
+ parent = eqn_box_makebinary(ep, parent);
+ parent->type = EQN_LIST;
+ parent->expectargs = 1;
+ parent->font = EQNFONT_ROMAN;
+ switch (tok) {
+ case EQN_TOK_DOTDOT:
+ parent->top = mandoc_strdup("\\[ad]");
+ break;
+ case EQN_TOK_VEC:
+ parent->top = mandoc_strdup("\\[->]");
+ break;
+ case EQN_TOK_DYAD:
+ parent->top = mandoc_strdup("\\[<>]");
+ break;
+ case EQN_TOK_TILDE:
+ parent->top = mandoc_strdup("\\[a~]");
+ break;
+ case EQN_TOK_UNDER:
+ parent->bottom = mandoc_strdup("\\[ul]");
+ break;
+ case EQN_TOK_BAR:
+ parent->top = mandoc_strdup("\\[rn]");
+ break;
+ case EQN_TOK_DOT:
+ parent->top = mandoc_strdup("\\[a.]");
+ break;
+ case EQN_TOK_HAT:
+ parent->top = mandoc_strdup("\\[ha]");
+ break;
+ default:
+ abort();
+ }
+ parent = parent->parent;
+ break;
+ case EQN_TOK_FWD:
+ case EQN_TOK_BACK:
+ case EQN_TOK_DOWN:
+ case EQN_TOK_UP:
+ if (eqn_next(ep, MODE_SUB) == EQN_TOK_EOF)
+ mandoc_msg(MANDOCERR_REQ_EMPTY, ep->node->line,
+ ep->node->pos, "%s", eqn_toks[tok]);
+ break;
+ case EQN_TOK_FAT:
+ case EQN_TOK_ROMAN:
+ case EQN_TOK_ITALIC:
+ case EQN_TOK_BOLD:
+ while (parent->args == parent->expectargs)
+ parent = parent->parent;
+ /*
+ * These values apply to the next word or sequence of
+ * words; thus, we mark that we'll have a child with
+ * exactly one of those.
+ */
+ parent = eqn_box_alloc(ep, parent);
+ parent->type = EQN_LIST;
+ parent->expectargs = 1;
+ switch (tok) {
+ case EQN_TOK_FAT:
+ parent->font = EQNFONT_FAT;
+ break;
+ case EQN_TOK_ROMAN:
+ parent->font = EQNFONT_ROMAN;
+ break;
+ case EQN_TOK_ITALIC:
+ parent->font = EQNFONT_ITALIC;
+ break;
+ case EQN_TOK_BOLD:
+ parent->font = EQNFONT_BOLD;
+ break;
+ default:
+ abort();
+ }
+ break;
+ case EQN_TOK_SIZE:
+ case EQN_TOK_GSIZE:
+ /* Accept two values: integral size and a single. */
+ if (eqn_next(ep, MODE_SUB) == EQN_TOK_EOF) {
+ mandoc_msg(MANDOCERR_REQ_EMPTY, ep->node->line,
+ ep->node->pos, "%s", eqn_toks[tok]);
+ break;
+ }
+ size = mandoc_strntoi(ep->start, ep->toksz, 10);
+ if (-1 == size) {
+ mandoc_msg(MANDOCERR_IT_NONUM, ep->node->line,
+ ep->node->pos, "%s", eqn_toks[tok]);
+ break;
+ }
+ if (EQN_TOK_GSIZE == tok) {
+ ep->gsize = size;
+ break;
+ }
+ while (parent->args == parent->expectargs)
+ parent = parent->parent;
+ parent = eqn_box_alloc(ep, parent);
+ parent->type = EQN_LIST;
+ parent->expectargs = 1;
+ parent->size = size;
+ break;
+ case EQN_TOK_FROM:
+ case EQN_TOK_TO:
+ case EQN_TOK_SUB:
+ case EQN_TOK_SUP:
+ /*
+ * We have a left-right-associative expression.
+ * Repivot under a positional node, open a child scope
+ * and keep on reading.
+ */
+ if (parent->last == NULL) {
+ mandoc_msg(MANDOCERR_EQN_NOBOX, ep->node->line,
+ ep->node->pos, "%s", eqn_toks[tok]);
+ cur = eqn_box_alloc(ep, parent);
+ cur->type = EQN_TEXT;
+ cur->text = mandoc_strdup("");
+ }
+ while (parent->expectargs == 1 && parent->args == 1)
+ parent = parent->parent;
+ if (tok == EQN_TOK_FROM || tok == EQN_TOK_TO) {
+ for (cur = parent; cur != NULL; cur = cur->parent)
+ if (cur->pos == EQNPOS_SUB ||
+ cur->pos == EQNPOS_SUP ||
+ cur->pos == EQNPOS_SUBSUP ||
+ cur->pos == EQNPOS_SQRT ||
+ cur->pos == EQNPOS_OVER)
+ break;
+ if (cur != NULL)
+ parent = cur->parent;
+ }
+ if (tok == EQN_TOK_SUP && parent->pos == EQNPOS_SUB) {
+ parent->expectargs = 3;
+ parent->pos = EQNPOS_SUBSUP;
+ break;
+ }
+ if (tok == EQN_TOK_TO && parent->pos == EQNPOS_FROM) {
+ parent->expectargs = 3;
+ parent->pos = EQNPOS_FROMTO;
+ break;
+ }
+ parent = eqn_box_makebinary(ep, parent);
+ switch (tok) {
+ case EQN_TOK_FROM:
+ parent->pos = EQNPOS_FROM;
+ break;
+ case EQN_TOK_TO:
+ parent->pos = EQNPOS_TO;
+ break;
+ case EQN_TOK_SUP:
+ parent->pos = EQNPOS_SUP;
+ break;
+ case EQN_TOK_SUB:
+ parent->pos = EQNPOS_SUB;
+ break;
+ default:
+ abort();
+ }
+ break;
+ case EQN_TOK_SQRT:
+ while (parent->args == parent->expectargs)
+ parent = parent->parent;
+ /*
+ * Accept a left-right-associative set of arguments just
+ * like sub and sup and friends but without rebalancing
+ * under a pivot.
+ */
+ parent = eqn_box_alloc(ep, parent);
+ parent->type = EQN_SUBEXPR;
+ parent->pos = EQNPOS_SQRT;
+ parent->expectargs = 1;
+ break;
+ case EQN_TOK_OVER:
+ /*
+ * We have a right-left-associative fraction.
+ * Close out anything that's currently open, then
+ * rebalance and continue reading.
+ */
+ if (parent->last == NULL) {
+ mandoc_msg(MANDOCERR_EQN_NOBOX, ep->node->line,
+ ep->node->pos, "%s", eqn_toks[tok]);
+ cur = eqn_box_alloc(ep, parent);
+ cur->type = EQN_TEXT;
+ cur->text = mandoc_strdup("");
+ }
+ while (parent->args == parent->expectargs)
+ parent = parent->parent;
+ while (EQN_SUBEXPR == parent->type)
+ parent = parent->parent;
+ parent = eqn_box_makebinary(ep, parent);
+ parent->pos = EQNPOS_OVER;
+ break;
+ case EQN_TOK_RIGHT:
+ case EQN_TOK_BRACE_CLOSE:
+ /*
+ * Close out the existing brace.
+ * FIXME: this is a shitty sentinel: we should really
+ * have a native EQN_BRACE type or whatnot.
+ */
+ for (cur = parent; cur != NULL; cur = cur->parent)
+ if (cur->type == EQN_LIST &&
+ cur->expectargs > 1 &&
+ (tok == EQN_TOK_BRACE_CLOSE ||
+ cur->left != NULL))
+ break;
+ if (cur == NULL) {
+ mandoc_msg(MANDOCERR_BLK_NOTOPEN, ep->node->line,
+ ep->node->pos, "%s", eqn_toks[tok]);
+ break;
+ }
+ parent = cur;
+ if (EQN_TOK_RIGHT == tok) {
+ if (eqn_next(ep, MODE_SUB) == EQN_TOK_EOF) {
+ mandoc_msg(MANDOCERR_REQ_EMPTY,
+ ep->node->line, ep->node->pos,
+ "%s", eqn_toks[tok]);
+ break;
+ }
+ /* Handling depends on right/left. */
+ if (STRNEQ(ep->start, ep->toksz, "ceiling", 7))
+ parent->right = mandoc_strdup("\\[rc]");
+ else if (STRNEQ(ep->start, ep->toksz, "floor", 5))
+ parent->right = mandoc_strdup("\\[rf]");
+ else
+ parent->right =
+ mandoc_strndup(ep->start, ep->toksz);
+ }
+ parent = parent->parent;
+ if (tok == EQN_TOK_BRACE_CLOSE &&
+ (parent->type == EQN_PILE ||
+ parent->type == EQN_MATRIX))
+ parent = parent->parent;
+ /* Close out any "singleton" lists. */
+ while (parent->type == EQN_LIST &&
+ parent->expectargs == 1 &&
+ parent->args == 1)
+ parent = parent->parent;
+ break;
+ case EQN_TOK_BRACE_OPEN:
+ case EQN_TOK_LEFT:
+ /*
+ * If we already have something in the stack and we're
+ * in an expression, then rewind til we're not any more
+ * (just like with the text node).
+ */
+ while (parent->args == parent->expectargs)
+ parent = parent->parent;
+ if (EQN_TOK_LEFT == tok &&
+ eqn_next(ep, MODE_SUB) == EQN_TOK_EOF) {
+ mandoc_msg(MANDOCERR_REQ_EMPTY, ep->node->line,
+ ep->node->pos, "%s", eqn_toks[tok]);
+ break;
+ }
+ parent = eqn_box_alloc(ep, parent);
+ parent->type = EQN_LIST;
+ if (EQN_TOK_LEFT == tok) {
+ if (STRNEQ(ep->start, ep->toksz, "ceiling", 7))
+ parent->left = mandoc_strdup("\\[lc]");
+ else if (STRNEQ(ep->start, ep->toksz, "floor", 5))
+ parent->left = mandoc_strdup("\\[lf]");
+ else
+ parent->left =
+ mandoc_strndup(ep->start, ep->toksz);
+ }
+ break;
+ case EQN_TOK_PILE:
+ case EQN_TOK_LPILE:
+ case EQN_TOK_RPILE:
+ case EQN_TOK_CPILE:
+ case EQN_TOK_CCOL:
+ case EQN_TOK_LCOL:
+ case EQN_TOK_RCOL:
+ while (parent->args == parent->expectargs)
+ parent = parent->parent;
+ parent = eqn_box_alloc(ep, parent);
+ parent->type = EQN_PILE;
+ parent->expectargs = 1;
+ break;
+ case EQN_TOK_ABOVE:
+ for (cur = parent; cur != NULL; cur = cur->parent)
+ if (cur->type == EQN_PILE)
+ break;
+ if (cur == NULL) {
+ mandoc_msg(MANDOCERR_IT_STRAY, ep->node->line,
+ ep->node->pos, "%s", eqn_toks[tok]);
+ break;
+ }
+ parent = eqn_box_alloc(ep, cur);
+ parent->type = EQN_LIST;
+ break;
+ case EQN_TOK_MATRIX:
+ while (parent->args == parent->expectargs)
+ parent = parent->parent;
+ parent = eqn_box_alloc(ep, parent);
+ parent->type = EQN_MATRIX;
+ parent->expectargs = 1;
+ break;
+ case EQN_TOK_EOF:
+ return;
+ case EQN_TOK__MAX:
+ case EQN_TOK_FUNC:
+ case EQN_TOK_QUOTED:
+ case EQN_TOK_SYM:
+ p = ep->start;
+ assert(p != NULL);
+ /*
+ * If we already have something in the stack and we're
+ * in an expression, then rewind til we're not any more.
+ */
+ while (parent->args == parent->expectargs)
+ parent = parent->parent;
+ cur = eqn_box_alloc(ep, parent);
+ cur->type = EQN_TEXT;
+ cur->text = p;
+ switch (tok) {
+ case EQN_TOK_FUNC:
+ cur->font = EQNFONT_ROMAN;
+ break;
+ case EQN_TOK_QUOTED:
+ if (cur->font == EQNFONT_NONE)
+ cur->font = EQNFONT_ITALIC;
+ break;
+ case EQN_TOK_SYM:
+ break;
+ default:
+ if (cur->font != EQNFONT_NONE || *p == '\0')
+ break;
+ cpn = p - 1;
+ ccln = CCL_LET;
+ split = NULL;
+ for (;;) {
+ /* Advance to next character. */
+ cp = cpn++;
+ ccl = ccln;
+ ccln = isalpha((unsigned char)*cpn) ? CCL_LET :
+ isdigit((unsigned char)*cpn) ||
+ (*cpn == '.' && (ccl == CCL_DIG ||
+ isdigit((unsigned char)cpn[1]))) ?
+ CCL_DIG : CCL_PUN;
+ /* No boundary before first character. */
+ if (cp < p)
+ continue;
+ cur->font = ccl == CCL_LET ?
+ EQNFONT_ITALIC : EQNFONT_ROMAN;
+ if (*cp == '\\')
+ mandoc_escape(&cpn, NULL, NULL);
+ /* No boundary after last character. */
+ if (*cpn == '\0')
+ break;
+ if (ccln == ccl && *cp != ',' && *cpn != ',')
+ continue;
+ /* Boundary found, split the text. */
+ if (parent->args == parent->expectargs) {
+ /* Remove the text from the tree. */
+ if (cur->prev == NULL)
+ parent->first = cur->next;
+ else
+ cur->prev->next = NULL;
+ parent->last = cur->prev;
+ parent->args--;
+ /* Set up a list instead. */
+ split = eqn_box_alloc(ep, parent);
+ split->type = EQN_LIST;
+ /* Insert the word into the list. */
+ split->first = split->last = cur;
+ cur->parent = split;
+ cur->prev = NULL;
+ parent = split;
+ }
+ /* Append a new text box. */
+ nbox = eqn_box_alloc(ep, parent);
+ nbox->type = EQN_TEXT;
+ nbox->text = mandoc_strdup(cpn);
+ /* Truncate the old box. */
+ p = mandoc_strndup(cur->text,
+ cpn - cur->text);
+ free(cur->text);
+ cur->text = p;
+ /* Setup to process the new box. */
+ cur = nbox;
+ p = nbox->text;
+ cpn = p - 1;
+ ccln = CCL_LET;
+ }
+ if (split != NULL)
+ parent = split->parent;
+ break;
+ }
+ break;
+ default:
+ abort();
+ }
+ goto next_tok;
+}
+
+void
+eqn_free(struct eqn_node *p)
+{
+ int i;
+
+ if (p == NULL)
+ return;
+
+ for (i = 0; i < (int)p->defsz; i++) {
+ free(p->defs[i].key);
+ free(p->defs[i].val);
+ }
+
+ free(p->data);
+ free(p->defs);
+ free(p);
+}