utils.c

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/*************************************************************************
 * Copyright (c) 2011 AT&T Intellectual Property
 * All rights reserved. This program and the accompanying materials
 * are made available under the terms of the Eclipse Public License v1.0
 * which accompanies this distribution, and is available at
 * https://www.eclipse.org/legal/epl-v10.html
 *
 * Contributors: Details at https://graphviz.org
 *************************************************************************/
 
#include <common/render.h>
#include <common/geomprocs.h>
#include <common/htmltable.h>
#include <common/entities.h>
#include <limits.h>
#include <math.h>
#include <gvc/gvc.h>
#include <stdatomic.h>
#include <stddef.h>
#include <stdbool.h>
#include <stdint.h>
#include <unistd.h>
#include <util/agxbuf.h>
#include <util/alloc.h>
#include <util/gv_ctype.h>
#include <util/gv_math.h>
#include <util/startswith.h>
#include <util/strcasecmp.h>
#include <util/streq.h>
#include <util/strview.h>
#include <util/tokenize.h>
 
int late_int(void *obj, attrsym_t *attr, int defaultValue, int minimum) {
    if (attr == NULL)
        return defaultValue;
    char *p = ag_xget(obj, attr);
    if (!p || p[0] == '\0')
        return defaultValue;
    char *endp;
    long rv = strtol(p, &endp, 10);
    if (p == endp || rv > INT_MAX)
        return defaultValue; /* invalid int format */
    if (rv < minimum)
        return minimum;
    return (int)rv;
}
 
double late_double(void *obj, attrsym_t *attr, double defaultValue,
                   double minimum) {
    if (!attr || !obj)
        return defaultValue;
    char *p = ag_xget(obj, attr);
    if (!p || p[0] == '\0')
        return defaultValue;
    char *endp;
    double rv = strtod(p, &endp);
    if (p == endp)
        return defaultValue; /* invalid double format */
    if (rv < minimum)
        return minimum;
    return rv;
}
 
double get_inputscale(graph_t *g) {
    if (PSinputscale > 0) return PSinputscale;  /* command line flag prevails */
    double d = late_double(g, agfindgraphattr(g, "inputscale"), -1, 0);
    if (is_exactly_zero(d)) return POINTS_PER_INCH;
    return d;
}
 
char *late_string(void *obj, attrsym_t *attr, char *defaultValue) {
    if (!attr || !obj)
        return defaultValue;
    return agxget(obj, attr);
}
 
char *late_nnstring(void *obj, attrsym_t *attr, char *defaultValue) {
    char *rv = late_string(obj, attr, defaultValue);
    if (!rv || (rv[0] == '\0'))
        return defaultValue;
    return rv;
}
 
bool late_bool(void *obj, attrsym_t *attr, bool defaultValue) {
    if (attr == NULL)
        return defaultValue;
 
    return mapbool(agxget(obj, attr));
}
 
node_t *UF_find(node_t * n)
{
    while (ND_UF_parent(n) && ND_UF_parent(n) != n) {
        if (ND_UF_parent(ND_UF_parent(n)))
            ND_UF_parent(n) = ND_UF_parent(ND_UF_parent(n));
        n = ND_UF_parent(n);
    }
    return n;
}
 
node_t *UF_union(node_t * u, node_t * v)
{
    if (u == v)
        return u;
    if (ND_UF_parent(u) == NULL) {
        ND_UF_parent(u) = u;
        ND_UF_size(u) = 1;
    } else
        u = UF_find(u);
    if (ND_UF_parent(v) == NULL) {
        ND_UF_parent(v) = v;
        ND_UF_size(v) = 1;
    } else
        v = UF_find(v);
        /* if we have two copies of the same node, their union is just that node */
    if (u == v)
        return u;
    if (ND_id(u) > ND_id(v)) {
        ND_UF_parent(u) = v;
        ND_UF_size(v) += ND_UF_size(u);
    } else {
        ND_UF_parent(v) = u;
        ND_UF_size(u) += ND_UF_size(v);
        v = u;
    }
    return v;
}
 
void UF_singleton(node_t * u)
{
    ND_UF_size(u) = 1;
    ND_UF_parent(u) = NULL;
    ND_ranktype(u) = NORMAL;
}
 
void UF_setname(node_t * u, node_t * v)
{
    assert(u == UF_find(u));
    ND_UF_parent(u) = v;
    ND_UF_size(v) += ND_UF_size(u);
}
 
pointf coord(node_t * n)
{
    pointf r;
 
    r.x = POINTS_PER_INCH * ND_pos(n)[0];
    r.y = POINTS_PER_INCH * ND_pos(n)[1];
    return r;
}
 
/* from Glassner's Graphics Gems */
#define W_DEGREE 5
 
/*
 *      Evaluate a Bezier curve at a particular parameter value
 *      Fill in control points for resulting sub-curves if "Left" and
 *      "Right" are non-null.
 *
 */
pointf Bezier(pointf *V, double t, pointf *Left, pointf *Right) {
    const int degree = 3;
    int i, j;                   /* Index variables      */
    pointf Vtemp[W_DEGREE + 1][W_DEGREE + 1];
 
    /* Copy control points  */
    for (j = 0; j <= degree; j++) {
        Vtemp[0][j] = V[j];
    }
 
    /* Triangle computation */
    for (i = 1; i <= degree; i++) {
        for (j = 0; j <= degree - i; j++) {
            Vtemp[i][j].x =
                (1.0 - t) * Vtemp[i - 1][j].x + t * Vtemp[i - 1][j + 1].x;
            Vtemp[i][j].y =
                (1.0 - t) * Vtemp[i - 1][j].y + t * Vtemp[i - 1][j + 1].y;
        }
    }
 
    if (Left != NULL)
        for (j = 0; j <= degree; j++)
            Left[j] = Vtemp[j][0];
    if (Right != NULL)
        for (j = 0; j <= degree; j++)
            Right[j] = Vtemp[degree - j][j];
 
    return Vtemp[degree][0];
}
 
#ifdef DEBUG
edge_t *debug_getedge(graph_t * g, char *s0, char *s1)
{
    node_t *n0, *n1;
    n0 = agfindnode(g, s0);
    n1 = agfindnode(g, s1);
    if (n0 && n1)
        return agfindedge(g, n0, n1);
    return NULL;
}
Agraphinfo_t* GD_info(graph_t * g) { return ((Agraphinfo_t*)AGDATA(g));}
Agnodeinfo_t* ND_info(node_t * n) { return ((Agnodeinfo_t*)AGDATA(n));}
#endif
 
/* safefile:
 * Check to make sure it is okay to read in files.
 * It returns NULL if the filename is trivial.
 *
 * If the application has set the SERVER_NAME environment variable,
 * this indicates it is web-active.
 *
 * If filename contains multiple components, the user is
 * warned, once, that everything to the left is ignored.
 *
 * For non-server applications, we use the path list in Gvimagepath to
 * resolve relative pathnames.
 *
 * N.B. safefile uses a fixed buffer, so functions using it should use the
 * value immediately or make a copy.
 */
#ifdef _WIN32
#define PATHSEP ";"
#else
#define PATHSEP ":"
#endif
 
static strview_t *mkDirlist(const char *list) {
    size_t cnt = 0;
    strview_t *dirs = gv_calloc(1, sizeof(strview_t));
 
    for (tok_t t = tok(list, PATHSEP); !tok_end(&t); tok_next(&t)) {
        strview_t dir = tok_get(&t);
        dirs = gv_recalloc(dirs, cnt + 1, cnt + 2, sizeof(strview_t));
        dirs[cnt++] = dir;
    }
    return dirs;
}
 
static char *findPath(const strview_t *dirs, const char *str) {
    static agxbuf safefilename;
 
    for (const strview_t *dp = dirs; dp != NULL && dp->data != NULL; dp++) {
        agxbprint(&safefilename, "%.*s%s%s", (int)dp->size, dp->data, DIRSEP, str);
        char *filename = agxbuse(&safefilename);
        if (access(filename, R_OK) == 0)
            return filename;
    }
    return NULL;
}
 
const char *safefile(const char *filename)
{
    static bool onetime = true;
    static char *pathlist = NULL;
    static strview_t *dirs;
 
    if (!filename || !filename[0])
        return NULL;
 
    if (HTTPServerEnVar) {   /* If used as a server */
        if (onetime) {
            agwarningf(
                      "file loading is disabled because the environment contains SERVER_NAME=\"%s\"\n",
                      HTTPServerEnVar);
            onetime = false;
        }
        return NULL;
    }
 
    if (Gvfilepath != NULL) {
        if (pathlist == NULL) {
            free(dirs);
            pathlist = Gvfilepath;
            dirs = mkDirlist(pathlist);
        }
 
        const char *str = filename;
        for (const char *sep = "/\\:"; *sep != '\0'; ++sep) {
            const char *p = strrchr(str, *sep);
            if (p != NULL) {
                str = ++p;
            }
        }
 
        return findPath(dirs, str);
    }
 
    if (pathlist != Gvimagepath) {
        free (dirs);
        dirs = NULL;
        pathlist = Gvimagepath;
        if (pathlist && *pathlist)
            dirs = mkDirlist(pathlist);
    }
 
    if (*filename == DIRSEP[0] || !dirs)
        return filename;
 
    return findPath(dirs, filename);
}
 
int maptoken(char *p, char **name, int *val) {
    char *q;
 
    int i = 0;
    for (; (q = name[i]) != 0; i++)
        if (p && streq(p, q))
            break;
    return val[i];
}
 
bool mapBool(const char *p, bool defaultValue) {
    if (!p || *p == '\0')
        return defaultValue;
    if (!strcasecmp(p, "false"))
        return false;
    if (!strcasecmp(p, "no"))
        return false;
    if (!strcasecmp(p, "true"))
        return true;
    if (!strcasecmp(p, "yes"))
        return true;
    if (gv_isdigit(*p))
        return atoi(p) != 0;
    return defaultValue;
}
 
bool mapbool(const char *p)
{
    return mapBool(p, false);
}
 
pointf dotneato_closest(splines * spl, pointf pt)
{
    double bestdist2, d2, dlow2, dhigh2; /* squares of distances */
    double low, high, t;
    pointf c[4], pt2;
    bezier bz;
 
    size_t besti = SIZE_MAX;
    size_t bestj = SIZE_MAX;
    bestdist2 = 1e+38;
    for (size_t i = 0; i < spl->size; i++) {
        bz = spl->list[i];
        for (size_t j = 0; j < bz.size; j++) {
            pointf b;
 
            b.x = bz.list[j].x;
            b.y = bz.list[j].y;
            d2 = DIST2(b, pt);
            if (bestj == SIZE_MAX || d2 < bestdist2) {
                besti = i;
                bestj = j;
                bestdist2 = d2;
            }
        }
    }
 
    bz = spl->list[besti];
    /* Pick best Bezier. If bestj is the last point in the B-spline, decrement.
     * Then set j to be the first point in the corresponding Bezier by dividing
     * then multiplying be 3. Thus, 0,1,2 => 0; 3,4,5 => 3, etc.
     */
    if (bestj == bz.size-1)
        bestj--;
    const size_t j = 3 * (bestj / 3);
    for (size_t k = 0; k < 4; k++) {
        c[k].x = bz.list[j + k].x;
        c[k].y = bz.list[j + k].y;
    }
    low = 0.0;
    high = 1.0;
    dlow2 = DIST2(c[0], pt);
    dhigh2 = DIST2(c[3], pt);
    do {
        t = (low + high) / 2.0;
        pt2 = Bezier(c, t, NULL, NULL);
        if (fabs(dlow2 - dhigh2) < 1.0)
            break;
        if (fabs(high - low) < .00001)
            break;
        if (dlow2 < dhigh2) {
            high = t;
            dhigh2 = DIST2(pt2, pt);
        } else {
            low = t;
            dlow2 = DIST2(pt2, pt);
        }
    } while (1);
    return pt2;
}
 
static int Tflag;
void gvToggle(int s)
{
    (void)s;
    Tflag = !Tflag;
#if !defined(_WIN32)
    signal(SIGUSR1, gvToggle);
#endif
}
 
int test_toggle(void)
{
    return Tflag;
}
 
struct fontinfo {
    double fontsize;
    char *fontname;
    char *fontcolor;
};
 
void common_init_node(node_t * n)
{
    struct fontinfo fi;
    char *str;
    ND_width(n) =
        late_double(n, N_width, DEFAULT_NODEWIDTH, MIN_NODEWIDTH);
    ND_height(n) =
        late_double(n, N_height, DEFAULT_NODEHEIGHT, MIN_NODEHEIGHT);
    ND_shape(n) =
        bind_shape(late_nnstring(n, N_shape, DEFAULT_NODESHAPE), n);
    str = agxget(n, N_label);
    fi.fontsize = late_double(n, N_fontsize, DEFAULT_FONTSIZE, MIN_FONTSIZE);
    fi.fontname = late_nnstring(n, N_fontname, DEFAULT_FONTNAME);
    fi.fontcolor = late_nnstring(n, N_fontcolor, DEFAULT_COLOR);
    ND_label(n) = make_label(n, str,
                (aghtmlstr(str) ? LT_HTML : LT_NONE) | ( (shapeOf(n) == SH_RECORD) ? LT_RECD : LT_NONE),
                fi.fontsize, fi.fontname, fi.fontcolor);
    if (N_xlabel && (str = agxget(n, N_xlabel)) && str[0]) {
        ND_xlabel(n) = make_label(n, str, aghtmlstr(str) ? LT_HTML : LT_NONE,
                                fi.fontsize, fi.fontname, fi.fontcolor);
        GD_has_labels(agraphof(n)) |= NODE_XLABEL;
    }
 
    {
        const int showboxes = imin(late_int(n, N_showboxes, 0, 0), UCHAR_MAX);
        ND_showboxes(n) = (unsigned char)showboxes;
    }
    ND_shape(n)->fns->initfn(n);
}
 
static void initFontEdgeAttr(edge_t * e, struct fontinfo *fi)
{
    fi->fontsize = late_double(e, E_fontsize, DEFAULT_FONTSIZE, MIN_FONTSIZE);
    fi->fontname = late_nnstring(e, E_fontname, DEFAULT_FONTNAME);
    fi->fontcolor = late_nnstring(e, E_fontcolor, DEFAULT_COLOR);
}
 
static void
initFontLabelEdgeAttr(edge_t * e, struct fontinfo *fi,
                      struct fontinfo *lfi)
{
    if (!fi->fontname) initFontEdgeAttr(e, fi);
    lfi->fontsize = late_double(e, E_labelfontsize, fi->fontsize, MIN_FONTSIZE);
    lfi->fontname = late_nnstring(e, E_labelfontname, fi->fontname);
    lfi->fontcolor = late_nnstring(e, E_labelfontcolor, fi->fontcolor);
}
 
static bool
noClip(edge_t *e, attrsym_t* sym)
{
    char                *str;
    bool rv = false;
 
    if (sym) {  /* mapbool isn't a good fit, because we want "" to mean true */
        str = agxget(e,sym);
        if (str && str[0]) rv = !mapbool(str);
        else rv = false;
    }
    return rv;
}
 
static port
chkPort (port (*pf)(node_t*, char*, char*), node_t* n, char* s)
{
    port pt;
        char* cp=NULL;
        if(s)
                cp= strchr(s,':');
    if (cp) {
        *cp = '\0';
        pt = pf(n, s, cp+1);
        *cp = ':';
        pt.name = cp+1;
    }
    else {
        pt = pf(n, s, NULL);
        pt.name = s;
    }
    return pt;
}
 
/* return true if edge has label */
void common_init_edge(edge_t *e) {
    char *str;
    struct fontinfo fi;
    struct fontinfo lfi;
    graph_t *sg = agraphof(agtail(e));
 
    fi.fontname = NULL;
    lfi.fontname = NULL;
    if (E_label && (str = agxget(e, E_label)) && str[0]) {
        initFontEdgeAttr(e, &fi);
        ED_label(e) = make_label(e, str, aghtmlstr(str) ? LT_HTML : LT_NONE,
                                fi.fontsize, fi.fontname, fi.fontcolor);
        GD_has_labels(sg) |= EDGE_LABEL;
        ED_label_ontop(e) = mapbool(late_string(e, E_label_float, "false"));
    }
 
    if (E_xlabel && (str = agxget(e, E_xlabel)) && str[0]) {
        if (!fi.fontname)
            initFontEdgeAttr(e, &fi);
        ED_xlabel(e) = make_label(e, str, aghtmlstr(str) ? LT_HTML : LT_NONE,
                                fi.fontsize, fi.fontname, fi.fontcolor);
        GD_has_labels(sg) |= EDGE_XLABEL;
    }
 
    if (E_headlabel && (str = agxget(e, E_headlabel)) && str[0]) {
        initFontLabelEdgeAttr(e, &fi, &lfi);
        ED_head_label(e) = make_label(e, str, aghtmlstr(str) ? LT_HTML : LT_NONE,
                                lfi.fontsize, lfi.fontname, lfi.fontcolor);
        GD_has_labels(sg) |= HEAD_LABEL;
    }
    if (E_taillabel && (str = agxget(e, E_taillabel)) && str[0]) {
        if (!lfi.fontname)
            initFontLabelEdgeAttr(e, &fi, &lfi);
        ED_tail_label(e) = make_label(e, str, aghtmlstr(str) ? LT_HTML : LT_NONE,
                                lfi.fontsize, lfi.fontname, lfi.fontcolor);
        GD_has_labels(sg) |= TAIL_LABEL;
    }
 
    /* We still accept ports beginning with colons but this is deprecated
     * That is, we allow tailport = ":abc" as well as the preferred
     * tailport = "abc".
     */
    str = agget(e, TAIL_ID);
    /* libgraph always defines tailport/headport; libcgraph doesn't */
    if (!str) str = "";
    if (str && str[0])
        ND_has_port(agtail(e)) = true;
    ED_tail_port(e) = chkPort (ND_shape(agtail(e))->fns->portfn, agtail(e), str);
    if (noClip(e, E_tailclip))
        ED_tail_port(e).clip = false;
    str = agget(e, HEAD_ID);
    /* libgraph always defines tailport/headport; libcgraph doesn't */
    if (!str) str = "";
    if (str && str[0])
        ND_has_port(aghead(e)) = true;
    ED_head_port(e) = chkPort(ND_shape(aghead(e))->fns->portfn, aghead(e), str);
    if (noClip(e, E_headclip))
        ED_head_port(e).clip = false;
}
 
static boxf addLabelBB(boxf bb, textlabel_t * lp, bool flipxy)
{
    double width, height;
    pointf p = lp->pos;
    double min, max;
 
    if (flipxy) {
        height = lp->dimen.x;
        width = lp->dimen.y;
    }
    else {
        width = lp->dimen.x;
        height = lp->dimen.y;
    }
    min = p.x - width / 2.;
    max = p.x + width / 2.;
    if (min < bb.LL.x)
        bb.LL.x = min;
    if (max > bb.UR.x)
        bb.UR.x = max;
 
    min = p.y - height / 2.;
    max = p.y + height / 2.;
    if (min < bb.LL.y)
        bb.LL.y = min;
    if (max > bb.UR.y)
        bb.UR.y = max;
 
    return bb;
}
 
boxf
polyBB (polygon_t* poly)
{
    const size_t sides = poly->sides;
    const size_t peris = MAX(poly->peripheries, (size_t)1);
    pointf* verts = poly->vertices + (peris-1)*sides;
    boxf bb;
 
    bb.LL = bb.UR = verts[0];
    for (size_t i = 1; i < sides; i++) {
        bb.LL.x = MIN(bb.LL.x,verts[i].x);
        bb.LL.y = MIN(bb.LL.y,verts[i].y);
        bb.UR.x = MAX(bb.UR.x,verts[i].x);
        bb.UR.y = MAX(bb.UR.y,verts[i].y);
    }
    return bb;
}
 
void updateBB(graph_t * g, textlabel_t * lp)
{
    GD_bb(g) = addLabelBB(GD_bb(g), lp, GD_flip(g));
}
 
void compute_bb(graph_t * g)
{
    node_t *n;
    edge_t *e;
    boxf b, bb;
    boxf BF;
    pointf ptf, s2;
 
    if (agnnodes(g) == 0 && GD_n_cluster(g) == 0) {
        bb.LL = (pointf){0};
        bb.UR = (pointf){0};
        return;
    }
 
    bb.LL = (pointf){INT_MAX, INT_MAX};
    bb.UR = (pointf){-INT_MAX, -INT_MAX};
    for (n = agfstnode(g); n; n = agnxtnode(g, n)) {
        ptf = coord(n);
        s2.x = ND_xsize(n) / 2.0;
        s2.y = ND_ysize(n) / 2.0;
        b.LL = sub_pointf(ptf, s2);
        b.UR = add_pointf(ptf, s2);
 
        EXPANDBB(&bb, b);
        if (ND_xlabel(n) && ND_xlabel(n)->set) {
            bb = addLabelBB(bb, ND_xlabel(n), GD_flip(g));
        }
        for (e = agfstout(g, n); e; e = agnxtout(g, e)) {
            if (ED_spl(e) == 0)
                continue;
            for (size_t i = 0; i < ED_spl(e)->size; i++) {
                for (size_t j = 0; j < (((Agedgeinfo_t*)AGDATA(e))->spl)->list[i].size; j++) {
                    ptf = ED_spl(e)->list[i].list[j];
                    expandbp(&bb, ptf);
                }
            }
            if (ED_label(e) && ED_label(e)->set) {
                bb = addLabelBB(bb, ED_label(e), GD_flip(g));
            }
            if (ED_head_label(e) && ED_head_label(e)->set) {
                bb = addLabelBB(bb, ED_head_label(e), GD_flip(g));
            }
            if (ED_tail_label(e) && ED_tail_label(e)->set) {
                bb = addLabelBB(bb, ED_tail_label(e), GD_flip(g));
            }
            if (ED_xlabel(e) && ED_xlabel(e)->set) {
                bb = addLabelBB(bb, ED_xlabel(e), GD_flip(g));
            }
        }
    }
 
    for (int i = 1; i <= GD_n_cluster(g); i++) {
        B2BF(GD_bb(GD_clust(g)[i]), BF);
        EXPANDBB(&bb, BF);
    }
    if (GD_label(g) && GD_label(g)->set) {
        bb = addLabelBB(bb, GD_label(g), GD_flip(g));
    }
 
    GD_bb(g) = bb;
}
 
bool is_a_cluster (Agraph_t* g)
{
  return g == g->root || !strncasecmp(agnameof(g), "cluster", 7) ||
         mapbool(agget(g, "cluster"));
}
 
Agsym_t *setAttr(graph_t * g, void *obj, char *name, char *value,
                        Agsym_t * ap)
{
    if (ap == NULL) {
        switch (agobjkind(obj)) {
        case AGRAPH:
            ap = agattr_text(g, AGRAPH,name, "");
            break;
        case AGNODE:
            ap = agattr_text(g,AGNODE, name, "");
            break;
        case AGEDGE:
            ap = agattr_text(g,AGEDGE, name, "");
            break;
        }
    }
    agxset(obj, ap, value);
    return ap;
}
 
static node_t *clustNode(node_t * n, graph_t * cg, agxbuf * xb,
                         graph_t * clg)
{
    node_t *cn;
    static int idx = 0;
 
    agxbprint(xb, "__%d:%s", idx++, agnameof(cg));
 
    cn = agnode(agroot(cg), agxbuse(xb), 1);
    agbindrec(cn, "Agnodeinfo_t", sizeof(Agnodeinfo_t), true);
 
    SET_CLUST_NODE(cn);
        agsubnode(cg,cn,1);
        agsubnode(clg,n,1);
 
    /* set attributes */
    N_label = setAttr(agraphof(cn), cn, "label", "", N_label);
    N_style = setAttr(agraphof(cn), cn, "style", "invis", N_style);
    N_shape = setAttr(agraphof(cn), cn, "shape", "box", N_shape);
 
    return cn;
}
 
typedef struct {
    Dtlink_t link;              /* cdt data */
    void *p[2];                 /* key */
    node_t *t;
    node_t *h;
} item;
 
static int cmpItem(void *pp1, void *pp2) {
    const void **p1 = pp1;
    const void **p2 = pp2;
    if ((uintptr_t)p1[0] < (uintptr_t)p2[0])
        return -1;
    if ((uintptr_t)p1[0] > (uintptr_t)p2[0])
        return 1;
    if ((uintptr_t)p1[1] < (uintptr_t)p2[1])
        return -1;
    if ((uintptr_t)p1[1] > (uintptr_t)p2[1])
        return 1;
    return 0;
}
 
static void *newItem(void *p, Dtdisc_t *disc) {
    item *objp = p;
    item *newp = gv_alloc(sizeof(item));
 
    (void)disc;
    newp->p[0] = objp->p[0];
    newp->p[1] = objp->p[1];
    newp->t = objp->t;
    newp->h = objp->h;
 
    return newp;
}
 
static Dtdisc_t mapDisc = {
    .key = offsetof(item, p),
    .size = sizeof(2 * sizeof(void *)),
    .link = offsetof(item, link),
    .makef = newItem,
    .freef = free,
    .comparf = cmpItem,
};
 
static edge_t *cloneEdge(edge_t * e, node_t * ct, node_t * ch)
{
    graph_t *g = agraphof(ct);
    edge_t *ce = agedge(g, ct, ch,NULL,1);
    agbindrec(ce, "Agedgeinfo_t", sizeof(Agedgeinfo_t), true);
    agcopyattr(e, ce);
    ED_compound(ce) = true;
 
    return ce;
}
 
static void insertEdge(Dt_t * map, void *t, void *h, edge_t * e)
{
    item dummy1 = {.p = {t, h}, .t = agtail(e), .h = aghead(e)};
    dtinsert(map, &dummy1);
 
    item dummy2 = {.p = {h, t}, .t = aghead(e), .h = agtail(e)};
    dtinsert(map, &dummy2);
}
 
static item *mapEdge(Dt_t * map, edge_t * e)
{
    void *key[] = {agtail(e), aghead(e)};
    return dtmatch(map, &key);
}
 
static graph_t *mapc(Dt_t *cmap, node_t *n) {
  if (startswith(agnameof(n), "cluster")) {
    return findCluster(cmap, agnameof(n));
  }
  return NULL;
}
 
static int
checkCompound(edge_t * e, graph_t * clg, agxbuf * xb, Dt_t * map, Dt_t* cmap)
{
    node_t *cn;
    node_t *cn1;
    node_t *t = agtail(e);
    node_t *h = aghead(e);
    edge_t *ce;
    item *ip;
 
    if (IS_CLUST_NODE(h)) return 0;
    graph_t *const tg = mapc(cmap, t);
    graph_t *const hg = mapc(cmap, h);
    if (!tg && !hg)
        return 0;
    if (tg == hg) {
        agwarningf("cluster cycle %s -- %s not supported\n", agnameof(t),
              agnameof(t));
        return 0;
    }
    ip = mapEdge(map, e);
    if (ip) {
        cloneEdge(e, ip->t, ip->h);
        return 1;
    }
 
    if (hg) {
        if (tg) {
            if (agcontains(hg, tg)) {
                agwarningf("tail cluster %s inside head cluster %s\n",
                      agnameof(tg), agnameof(hg));
                return 0;
            }
            if (agcontains(tg, hg)) {
                agwarningf("head cluster %s inside tail cluster %s\n",
                      agnameof(hg),agnameof(tg));
                return 0;
            }
            cn = clustNode(t, tg, xb, clg);
            cn1 = clustNode(h, hg, xb, clg);
            ce = cloneEdge(e, cn, cn1);
            insertEdge(map, t, h, ce);
        } else {
            if (agcontains(hg, t)) {
                agwarningf("tail node %s inside head cluster %s\n",
                      agnameof(t), agnameof(hg));
                return 0;
            }
            cn = clustNode(h, hg, xb, clg);
            ce = cloneEdge(e, t, cn);
            insertEdge(map, t, h, ce);
        }
    } else {
        if (agcontains(tg, h)) {
            agwarningf("head node %s inside tail cluster %s\n", agnameof(h),
                  agnameof(tg));
            return 0;
        }
        cn = clustNode(t, tg, xb, clg);
        ce = cloneEdge(e, cn, h);
        insertEdge(map, t, h, ce);
    }
    return 1;
}
 
typedef struct {
    Agrec_t hdr;
    int n_cluster_edges;
} cl_edge_t;
 
static int
num_clust_edges(graph_t * g)
{
    cl_edge_t* cl_info = (cl_edge_t*)HAS_CLUST_EDGE(g);
    if (cl_info)
        return cl_info->n_cluster_edges;
    return 0;
}
 
void processClusterEdges(graph_t * g)
{
    int num_cl_edges = 0;
    node_t *n;
    node_t *nxt;
    edge_t *e;
    graph_t *clg;
    agxbuf xb = {0};
    Dt_t *map;
    Dt_t *cmap = mkClustMap (g);
 
    map = dtopen(&mapDisc, Dtoset);
    clg = agsubg(g, "__clusternodes",1);
    agbindrec(clg, "Agraphinfo_t", sizeof(Agraphinfo_t), true);
    for (n = agfstnode(g); n; n = agnxtnode(g, n)) {
        if (IS_CLUST_NODE(n)) continue;
        for (e = agfstout(g, n); e; e = agnxtout(g, e)) {
            num_cl_edges += checkCompound(e, clg, &xb, map, cmap);
        }
    }
    agxbfree(&xb);
    dtclose(map);
    for (n = agfstnode(clg); n; n = nxt) {
        nxt = agnxtnode(clg, n);
        agdelete(g, n);
    }
    agclose(clg);
    if (num_cl_edges) {
        cl_edge_t* cl_info;
        cl_info = agbindrec(g, CL_EDGE_TAG, sizeof(cl_edge_t), false);
        cl_info->n_cluster_edges = num_cl_edges;
    }
    dtclose(cmap);
}
 
static node_t *mapN(node_t * n, graph_t * clg)
{
    node_t *nn;
    char *name;
    graph_t *g = agraphof(n);
    Agsym_t *sym;
 
    if (!IS_CLUST_NODE(n))
        return n;
    agsubnode(clg, n, 1);
    name = strchr(agnameof(n), ':');
    assert(name);
    name++;
    if ((nn = agfindnode(g, name)))
        return nn;
    nn = agnode(g, name, 1);
    agbindrec(nn, "Agnodeinfo_t", sizeof(Agnodeinfo_t), true);
    SET_CLUST_NODE(nn);
 
    /* Set all attributes to default */
    for (sym = agnxtattr(g, AGNODE, NULL); sym;  (sym = agnxtattr(g, AGNODE, sym))) {
        if (agxget(nn, sym) != sym->defval)
            agxset(nn, sym, sym->defval);
    }
    return nn;
}
 
static void undoCompound(edge_t * e, graph_t * clg)
{
    node_t *t = agtail(e);
    node_t *h = aghead(e);
    node_t *ntail;
    node_t *nhead;
    edge_t* ce;
 
    ntail = mapN(t, clg);
    nhead = mapN(h, clg);
    ce = cloneEdge(e, ntail, nhead);
 
    /* transfer drawing information */
    ED_spl(ce) = ED_spl(e);
    ED_spl(e) = NULL;
    ED_label(ce) = ED_label(e);
    ED_label(e) = NULL;
    ED_xlabel(ce) = ED_xlabel(e);
    ED_xlabel(e) = NULL;
    ED_head_label(ce) = ED_head_label(e);
    ED_head_label(e) = NULL;
    ED_tail_label(ce) = ED_tail_label(e);
    ED_tail_label(e) = NULL;
    gv_cleanup_edge(e);
}
 
void undoClusterEdges(graph_t * g)
{
    node_t *n;
    node_t *nextn;
    edge_t *e;
    graph_t *clg;
    int ecnt = num_clust_edges(g);
    int i = 0;
 
    if (!ecnt) return;
    clg = agsubg(g, "__clusternodes",1);
    agbindrec(clg, "Agraphinfo_t", sizeof(Agraphinfo_t), true);
    edge_t **edgelist = gv_calloc(ecnt, sizeof(edge_t*));
    for (n = agfstnode(g); n; n = agnxtnode(g, n)) {
        for (e = agfstout(g, n); e; e = agnxtout(g, e)) {
            if (ED_compound(e))
                edgelist[i++] = e;
        }
    }
    assert(i == ecnt);
    for (i = 0; i < ecnt; i++)
        undoCompound(edgelist[i], clg);
    free (edgelist);
    for (n = agfstnode(clg); n; n = nextn) {
        nextn = agnxtnode(clg, n);
        gv_cleanup_node(n);
        agdelete(g, n);
    }
    agclose(clg);
}
 
attrsym_t *safe_dcl(graph_t *g, int obj_kind, char *name, char *defaultValue) {
    attrsym_t *a = agattr_text(g,obj_kind,name, NULL);
    if (!a)     /* attribute does not exist */
        a = agattr_text(g, obj_kind, name, defaultValue);
    return a;
}
 
static int comp_entities(const void *e1, const void *e2) {
  const strview_t *key = e1;
  const struct entities_s *candidate = e2;
  return strview_cmp(*key, strview(candidate->name, '\0'));
}
 
char* scanEntity (char* t, agxbuf* xb)
{
    const strview_t key = strview(t, ';');
    struct entities_s *res;
 
    agxbputc(xb, '&');
    if (key.data[key.size] == '\0') return t;
    if (key.size > ENTITY_NAME_LENGTH_MAX || key.size < 2) return t;
    res = bsearch(&key, entities, NR_OF_ENTITIES,
        sizeof(entities[0]), comp_entities);
    if (!res) return t;
    agxbprint(xb, "#%d;", res->value);
    return t + key.size + 1;
}
 
static int
htmlEntity (char** s)
{
    struct entities_s *res;
    unsigned char* str = *(unsigned char**)s;
    unsigned int byte;
    int i, n = 0;
 
    byte = *str;
    if (byte == '#') {
        byte = *(str + 1);
        if (byte == 'x' || byte == 'X') {
            for (i = 2; i < 8; i++) {
                byte = *(str + i);
                if (byte >= 'A' && byte <= 'F')
                    byte = byte - 'A' + 10;
                else if (byte >= 'a' && byte <= 'f')
                    byte = byte - 'a' + 10;
                else if (byte >= '0' && byte <= '9')
                    byte = byte - '0';
                else
                    break;
                n = n * 16 + (int)byte;
            }
        }
        else {
            for (i = 1; i < 8; i++) {
                byte = *(str + i);
                if (byte >= '0' && byte <= '9')
                    n = n * 10 + ((int)byte - '0');
                else
                    break;
            }
        }
        if (byte == ';') {
            str += i+1;
        }
        else {
            n = 0;
        }
    }
    else {
        strview_t key = {.data = (char *)str};
        for (i = 0; i <  ENTITY_NAME_LENGTH_MAX; i++) {
            byte = *(str + i);
            if (byte == '\0') break;
            if (byte == ';') {
                res = bsearch(&key, entities, NR_OF_ENTITIES,
                    sizeof(entities[0]), comp_entities);
                if (res) {
                    n = res->value;
                    str += i+1;
                }
                break;
            }
            ++key.size;
        }
    }
    *s = (char*)str;
    return n;
}
 
static unsigned char
cvtAndAppend (unsigned char c, agxbuf* xb)
{
    char buf[] = {c, '\0'};
    char *s = latin1ToUTF8(buf);
    char *p = s;
    size_t len = strlen(s);
    while (len-- > 1)
        agxbputc(xb, *p++);
    c = *p;
    free (s);
    return c;
}
 
char* htmlEntityUTF8 (char* s, graph_t* g)
{
    static graph_t* lastg;
    static atomic_flag warned;
    unsigned char c;
    unsigned int v;
 
    int uc;
    int ui;
 
    if (lastg != g) {
        lastg = g;
        atomic_flag_clear(&warned);
    }
 
    agxbuf xb = {0};
 
    while ((c = *(unsigned char*)s++)) {
        if (c < 0xC0)
            /*
             * Handles properly formed UTF-8 characters between
             * 0x01 and 0x7F.  Also treats \0 and naked trail
             * bytes 0x80 to 0xBF as valid characters representing
             * themselves.
             */
            uc = 0;
        else if (c < 0xE0)
            uc = 1;
        else if (c < 0xF0)
            uc = 2;
        else if (c < 0xF8)
            uc = 3;
        else {
            uc = -1;
            if (!atomic_flag_test_and_set(&warned)) {
                agwarningf("UTF8 codes > 4 bytes are not currently supported (graph %s) - treated as Latin-1. Perhaps \"-Gcharset=latin1\" is needed?\n", agnameof(g));
            }
            c = cvtAndAppend (c, &xb);
        }
 
            if (uc == 0 && c == '&') {
                /* replace html entity sequences like: &amp;
                 * and: &#123; with their UTF8 equivalents */
                v = htmlEntity (&s);
                if (v) {
                    if (v < 0x7F) /* entity needs 1 byte in UTF8 */
                        c = v;
                    else if (v < 0x07FF) { /* entity needs 2 bytes in UTF8 */
                        agxbputc(&xb, (char)((v >> 6) | 0xC0));
                        c = (v & 0x3F) | 0x80;
                    }
                    else { /* entity needs 3 bytes in UTF8 */
                        agxbputc(&xb, (char)((v >> 12) | 0xE0));
                        agxbputc(&xb, (char)(((v >> 6) & 0x3F) | 0x80));
                        c = (v & 0x3F) | 0x80;
                    }
                    }
        }
        else /* copy n byte UTF8 characters */
            for (ui = 0; ui < uc; ++ui)
                if ((*s & 0xC0) == 0x80) {
                    agxbputc(&xb, (char)c);
                    c = *(unsigned char*)s++;
                }
                else {
                            if (!atomic_flag_test_and_set(&warned)) {
                                agwarningf("Invalid %d-byte UTF8 found in input of graph %s - treated as Latin-1. Perhaps \"-Gcharset=latin1\" is needed?\n", uc + 1, agnameof(g));
                            }
                            c = cvtAndAppend (c, &xb);
                    break;
                    }
        agxbputc(&xb, (char)c);
    }
    return agxbdisown(&xb);
}
 
char* latin1ToUTF8 (char* s)
{
    agxbuf xb = {0};
    unsigned int v;
 
    /* Values are either a byte (<= 256) or come from htmlEntity, whose
     * values are all less than 0x07FF, so we need at most 3 bytes.
     */
    while ((v = *(unsigned char*)s++)) {
        if (v == '&') {
            v = htmlEntity (&s);
            if (!v) v = '&';
        }
        if (v < 0x7F)
            agxbputc(&xb, (char)v);
        else if (v < 0x07FF) {
            agxbputc(&xb, (char)((v >> 6) | 0xC0));
            agxbputc(&xb, (char)((v & 0x3F) | 0x80));
        }
        else {
            agxbputc(&xb, (char)((v >> 12) | 0xE0));
            agxbputc(&xb, (char)(((v >> 6) & 0x3F) | 0x80));
            agxbputc(&xb, (char)((v & 0x3F) | 0x80));
        }
    }
    return agxbdisown(&xb);
}
 
char*
utf8ToLatin1 (char* s)
{
    agxbuf xb = {0};
    unsigned char c;
 
    while ((c = *(unsigned char*)s++)) {
        if (c < 0x7F)
            agxbputc(&xb, (char)c);
        else {
            unsigned char outc = (c & 0x03) << 6;
            c = *(unsigned char *)s++;
            outc = outc | (c & 0x3F);
            agxbputc(&xb, (char)outc);
        }
    }
    return agxbdisown(&xb);
}
 
bool overlap_node(node_t *n, boxf b) {
    if (! OVERLAP(b, ND_bb(n)))
        return false;
 
    /*  FIXME - need to do something better about CLOSEENOUGH */
    pointf p = sub_pointf(ND_coord(n), mid_pointf(b.UR, b.LL));
 
    inside_t ictxt = {.s.n = n};
 
    return ND_shape(n)->fns->insidefn(&ictxt, p);
}
 
bool overlap_label(textlabel_t *lp, boxf b)
{
    const pointf s = {.x = lp->dimen.x / 2.0, .y = lp->dimen.y / 2.0};
    boxf bb = {.LL = sub_pointf(lp->pos, s), .UR = add_pointf(lp->pos, s)};
    return OVERLAP(b, bb);
}
 
static bool overlap_arrow(pointf p, pointf u, double scale, boxf b)
{
    // FIXME - check inside arrow shape
    return OVERLAP(b, arrow_bb(p, u, scale));
}
 
static bool overlap_bezier(bezier bz, boxf b) {
    assert(bz.size);
    pointf u = bz.list[0];
    for (size_t i = 1; i < bz.size; i++) {
        pointf p = bz.list[i];
        if (lineToBox(p, u, b) != -1)
            return true;
        u = p;
    }
 
    /* check arrows */
    if (bz.sflag) {
        if (overlap_arrow(bz.sp, bz.list[0], 1, b))
            return true;
    }
    if (bz.eflag) {
        if (overlap_arrow(bz.ep, bz.list[bz.size - 1], 1, b))
            return true;
    }
    return false;
}
 
bool overlap_edge(edge_t *e, boxf b)
{
    splines *spl = ED_spl(e);
    if (spl && boxf_overlap(spl->bb, b))
        for (size_t i = 0; i < spl->size; i++)
            if (overlap_bezier(spl->list[i], b))
                return true;
 
    textlabel_t *lp = ED_label(e);
    if (lp && overlap_label(lp, b))
        return true;
 
    return false;
}
 
static int edgeType(const char *s, int defaultValue) {
    if (s == NULL || strcmp(s, "") == 0) {
        return defaultValue;
    }
 
    if (*s == '0') { /* false */
        return EDGETYPE_LINE;
    } else if (*s >= '1' && *s <= '9') { /* true */
        return EDGETYPE_SPLINE;
    } else if (strcasecmp(s, "curved") == 0) {
        return EDGETYPE_CURVED;
    } else if (strcasecmp(s, "compound") == 0) {
        return EDGETYPE_COMPOUND;
    } else if (strcasecmp(s, "false") == 0) {
        return EDGETYPE_LINE;
    } else if (strcasecmp(s, "line") == 0) {
        return EDGETYPE_LINE;
    } else if (strcasecmp(s, "none") == 0) {
        return EDGETYPE_NONE;
    } else if (strcasecmp(s, "no") == 0) {
        return EDGETYPE_LINE;
    } else if (strcasecmp(s, "ortho") == 0) {
        return EDGETYPE_ORTHO;
    } else if (strcasecmp(s, "polyline") == 0) {
        return EDGETYPE_PLINE;
    } else if (strcasecmp(s, "spline") == 0) {
        return EDGETYPE_SPLINE;
    } else if (strcasecmp(s, "true") == 0) {
        return EDGETYPE_SPLINE;
    } else if (strcasecmp(s, "yes") == 0) {
        return EDGETYPE_SPLINE;
    }
 
    agwarningf("Unknown \"splines\" value: \"%s\" - ignored\n", s);
    return defaultValue;
}
 
void setEdgeType(graph_t *g, int defaultValue) {
    char* s = agget(g, "splines");
    int et;
 
    if (!s) {
        et = defaultValue;
    }
    else if (*s == '\0') {
        et = EDGETYPE_NONE;
    } else {
        et = edgeType(s, defaultValue);
    }
    GD_flags(g) |= et;
}
 
void get_gradient_points(pointf *A, pointf *G, size_t n, double angle, int flags) {
    pointf min,max,center;
    int isRadial = flags & 1;
    int isRHS = flags & 2;
 
    if (n == 2) {
        double rx = A[1].x - A[0].x;
        double ry = A[1].y - A[0].y;
        min.x = A[0].x - rx;
        max.x = A[0].x + rx;
        min.y = A[0].y - ry;
        max.y = A[0].y + ry;
    }
    else {
      min.x = max.x = A[0].x;
      min.y = max.y = A[0].y;
      for (size_t i = 0; i < n; i++) {
            min.x = MIN(A[i].x, min.x);
            min.y = MIN(A[i].y, min.y);
            max.x = MAX(A[i].x, max.x);
            max.y = MAX(A[i].y, max.y);
      }
    }
      center.x = min.x + (max.x - min.x)/2;
      center.y = min.y + (max.y - min.y)/2;
    if (isRadial) {
        double inner_r, outer_r;
        outer_r = hypot(center.x - min.x, center.y - min.y);
        inner_r = outer_r /4.;
        if (isRHS) {
            G[0].y = center.y;
        }
        else {
            G[0].y = -center.y;
        }
        G[0].x = center.x;
        G[1].x = inner_r;
        G[1].y = outer_r;
    }
    else {
        double half_x = max.x - center.x;
        double half_y = max.y - center.y;
        double sina = sin(angle);
        double cosa = cos(angle);
        if (isRHS) {
            G[0].y = center.y - half_y * sina;
            G[1].y = center.y + half_y * sina;
        }
        else {
            G[0].y = -center.y + (max.y - center.y) * sin(angle);
            G[1].y = -center.y - (center.y - min.y) * sin(angle);
        }
        G[0].x = center.x - half_x * cosa;
        G[1].x = center.x + half_x * cosa;
    }
}
 
void gv_free_splines(edge_t *e) {
    if (ED_spl(e)) {
        for (size_t i = 0; i < ED_spl(e)->size; i++)
            free(ED_spl(e)->list[i].list);
        free(ED_spl(e)->list);
        free(ED_spl(e));
    }
    ED_spl(e) = NULL;
}
 
void gv_cleanup_edge(edge_t * e)
{
    free(ED_path(e).ps);
    gv_free_splines(e);
    free_label(ED_label(e));
    free_label(ED_xlabel(e));
    free_label(ED_head_label(e));
    free_label(ED_tail_label(e));
    /*FIX HERE , shallow cleaning may not be enough here */
    agdelrec(e, "Agedgeinfo_t");
}
 
void gv_cleanup_node(node_t * n)
{
    free(ND_pos(n));
    if (ND_shape(n))
        ND_shape(n)->fns->freefn(n);
    free_label(ND_label(n));
    free_label(ND_xlabel(n));
    /*FIX HERE , shallow cleaning may not be enough here */
    agdelrec(n, "Agnodeinfo_t");
}
 
void gv_nodesize(node_t *n, bool flip) {
    if (flip) {
        double w = INCH2PS(ND_height(n));
        ND_lw(n) = ND_rw(n) = w / 2;
        ND_ht(n) = INCH2PS(ND_width(n));
    }
    else {
        double w = INCH2PS(ND_width(n));
        ND_lw(n) = ND_rw(n) = w / 2;
        ND_ht(n) = INCH2PS(ND_height(n));
    }
}
 
#ifndef HAVE_DRAND48
double drand48(void)
{
    double d;
    d = rand();
    d = d / RAND_MAX;
    return d;
}
#endif
typedef struct {
    Dtlink_t link;
    char* name;
    Agraph_t* clp;
} clust_t;
 
static Dtdisc_t strDisc = {
    .key = offsetof(clust_t, name),
    .size = -1,
    .link = offsetof(clust_t, link),
    .freef = free,
};
 
static void fillMap (Agraph_t* g, Dt_t* map)
{
    for (int c = 1; c <= GD_n_cluster(g); c++) {
        Agraph_t *cl = GD_clust(g)[c];
        char *s = agnameof(cl);
        if (dtmatch(map, s)) {
            agwarningf("Two clusters named %s - the second will be ignored\n", s);
        } else {
            clust_t *ip = gv_alloc(sizeof(clust_t));
            ip->name = s;
            ip->clp = cl;
            dtinsert (map, ip);
        }
        fillMap (cl, map);
    }
}
 
Dt_t* mkClustMap (Agraph_t* g)
{
    Dt_t* map = dtopen (&strDisc, Dtoset);
 
    fillMap (g, map);
 
    return map;
}
 
Agraph_t*
findCluster (Dt_t* map, char* name)
{
    clust_t* clp = dtmatch (map, name);
    if (clp)
        return clp->clp;
    return NULL;
}