poppler-24.05.0/splash/SplashXPath.cc

//========================================================================
//
// SplashXPath.cc
//
//========================================================================

//========================================================================
//
// Modified under the Poppler project - http://poppler.freedesktop.org
//
// All changes made under the Poppler project to this file are licensed
// under GPL version 2 or later
//
// Copyright (C) 2010 Paweł Wiejacha <[email protected]>
// Copyright (C) 2010, 2011, 2018, 2019, 2021 Albert Astals Cid <[email protected]>
// Copyright (C) 2013 Thomas Freitag <[email protected]>
// Copyright (C) 2017 Adrian Johnson <[email protected]>
//
// To see a description of the changes please see the Changelog file that
// came with your tarball or type make ChangeLog if you are building from git
//
//========================================================================

#include <config.h>

#include <cstdlib>
#include <cstring>
#include <algorithm>
#include "goo/gmem.h"
#include "goo/GooLikely.h"
#include "SplashMath.h"
#include "SplashPath.h"
#include "SplashXPath.h"

//------------------------------------------------------------------------

struct SplashXPathPoint
{
    SplashCoord x, y;
};

struct SplashXPathAdjust
{
    int firstPt, lastPt; // range of points
    bool vert; // vertical or horizontal hint
    SplashCoord x0a, x0b, // hint boundaries
            xma, xmb, x1a, x1b;
    SplashCoord x0, x1, xm; // adjusted coordinates
};

//------------------------------------------------------------------------

// Transform a point from user space to device space.
inline void SplashXPath::transform(SplashCoord *matrix, SplashCoord xi, SplashCoord yi, SplashCoord *xo, SplashCoord *yo)
{
    //                          [ m[0] m[1] 0 ]
    // [xo yo 1] = [xi yi 1] *  [ m[2] m[3] 0 ]
    //                          [ m[4] m[5] 1 ]
    *xo = xi * matrix[0] + yi * matrix[2] + matrix[4];
    *yo = xi * matrix[1] + yi * matrix[3] + matrix[5];
}

//------------------------------------------------------------------------
// SplashXPath
//------------------------------------------------------------------------

SplashXPath::SplashXPath(SplashPath *path, SplashCoord *matrix, SplashCoord flatness, bool closeSubpaths, bool adjustLines, int linePosI)
{
    SplashPathHint *hint;
    SplashXPathPoint *pts;
    SplashXPathAdjust *adjusts, *adjust;
    SplashCoord x0, y0, x1, y1, x2, y2, x3, y3, xsp, ysp;
    SplashCoord adj0, adj1;
    int curSubpath, i, j;

    // transform the points
    pts = (SplashXPathPoint *)gmallocn(path->length, sizeof(SplashXPathPoint));
    for (i = 0; i < path->length; ++i) {
        transform(matrix, path->pts[i].x, path->pts[i].y, &pts[i].x, &pts[i].y);
    }

    // set up the stroke adjustment hints
    if (path->hints) {
        adjusts = (SplashXPathAdjust *)gmallocn_checkoverflow(path->hintsLength, sizeof(SplashXPathAdjust));
        if (adjusts) {
            for (i = 0; i < path->hintsLength; ++i) {
                hint = &path->hints[i];
                if (hint->ctrl0 + 1 >= path->length || hint->ctrl1 + 1 >= path->length) {
                    gfree(adjusts);
                    adjusts = nullptr;
                    break;
                }
                x0 = pts[hint->ctrl0].x;
                y0 = pts[hint->ctrl0].y;
                x1 = pts[hint->ctrl0 + 1].x;
                y1 = pts[hint->ctrl0 + 1].y;
                x2 = pts[hint->ctrl1].x;
                y2 = pts[hint->ctrl1].y;
                x3 = pts[hint->ctrl1 + 1].x;
                y3 = pts[hint->ctrl1 + 1].y;
                if (x0 == x1 && x2 == x3) {
                    adjusts[i].vert = true;
                    adj0 = x0;
                    adj1 = x2;
                } else if (y0 == y1 && y2 == y3) {
                    adjusts[i].vert = false;
                    adj0 = y0;
                    adj1 = y2;
                } else {
                    gfree(adjusts);
                    adjusts = nullptr;
                    break;
                }
                if (adj0 > adj1) {
                    x0 = adj0;
                    adj0 = adj1;
                    adj1 = x0;
                }
                adjusts[i].x0a = adj0 - 0.01;
                adjusts[i].x0b = adj0 + 0.01;
                adjusts[i].xma = (SplashCoord)0.5 * (adj0 + adj1) - 0.01;
                adjusts[i].xmb = (SplashCoord)0.5 * (adj0 + adj1) + 0.01;
                adjusts[i].x1a = adj1 - 0.01;
                adjusts[i].x1b = adj1 + 0.01;
                // rounding both edge coordinates can result in lines of
                // different widths (e.g., adj=10.1, adj1=11.3 --> x0=10, x1=11;
                // adj0=10.4, adj1=11.6 --> x0=10, x1=12), but it has the
                // benefit of making adjacent strokes/fills line up without any
                // gaps between them
                x0 = splashRound(adj0);
                x1 = splashRound(adj1);
                if (x1 == x0) {
                    if (adjustLines) {
                        // the adjustment moves thin lines (clip rectangle with
                        // empty width or height) out of clip area, here we need
                        // a special adjustment:
                        x0 = linePosI;
                        x1 = x0 + 1;
                    } else {
                        x1 = x1 + 1;
                    }
                }
                adjusts[i].x0 = (SplashCoord)x0;
                adjusts[i].x1 = (SplashCoord)x1 - 0.01;
                adjusts[i].xm = (SplashCoord)0.5 * (adjusts[i].x0 + adjusts[i].x1);
                adjusts[i].firstPt = hint->firstPt;
                adjusts[i].lastPt = hint->lastPt;
            }
        }

    } else {
        adjusts = nullptr;
    }

    // perform stroke adjustment
    if (adjusts) {
        for (i = 0, adjust = adjusts; i < path->hintsLength; ++i, ++adjust) {
            for (j = adjust->firstPt; j <= adjust->lastPt; ++j) {
                strokeAdjust(adjust, &pts[j].x, &pts[j].y);
            }
        }
        gfree(adjusts);
    }

    segs = nullptr;
    length = size = 0;

    x0 = y0 = xsp = ysp = 0; // make gcc happy
    adj0 = adj1 = 0; // make gcc happy
    curSubpath = 0;
    i = 0;
    while (i < path->length) {

        // first point in subpath - skip it
        if (path->flags[i] & splashPathFirst) {
            x0 = pts[i].x;
            y0 = pts[i].y;
            xsp = x0;
            ysp = y0;
            curSubpath = i;
            ++i;

        } else {

            // curve segment
            if (path->flags[i] & splashPathCurve) {
                x1 = pts[i].x;
                y1 = pts[i].y;
                x2 = pts[i + 1].x;
                y2 = pts[i + 1].y;
                x3 = pts[i + 2].x;
                y3 = pts[i + 2].y;
                addCurve(x0, y0, x1, y1, x2, y2, x3, y3, flatness, (path->flags[i - 1] & splashPathFirst), (path->flags[i + 2] & splashPathLast),
                         !closeSubpaths && (path->flags[i - 1] & splashPathFirst) && !(path->flags[i - 1] & splashPathClosed), !closeSubpaths && (path->flags[i + 2] & splashPathLast) && !(path->flags[i + 2] & splashPathClosed));
                x0 = x3;
                y0 = y3;
                i += 3;

                // line segment
            } else {
                x1 = pts[i].x;
                y1 = pts[i].y;
                addSegment(x0, y0, x1, y1);
                x0 = x1;
                y0 = y1;
                ++i;
            }

            // close a subpath
            if (closeSubpaths && (path->flags[i - 1] & splashPathLast) && (pts[i - 1].x != pts[curSubpath].x || pts[i - 1].y != pts[curSubpath].y)) {
                addSegment(x0, y0, xsp, ysp);
            }
        }
    }

    gfree(pts);
}

// Apply the stroke adjust hints to point <pt>: (*<xp>, *<yp>).
void SplashXPath::strokeAdjust(SplashXPathAdjust *adjust, SplashCoord *xp, SplashCoord *yp)
{
    SplashCoord x, y;

    if (adjust->vert) {
        x = *xp;
        if (x > adjust->x0a && x < adjust->x0b) {
            *xp = adjust->x0;
        } else if (x > adjust->xma && x < adjust->xmb) {
            *xp = adjust->xm;
        } else if (x > adjust->x1a && x < adjust->x1b) {
            *xp = adjust->x1;
        }
    } else {
        y = *yp;
        if (y > adjust->x0a && y < adjust->x0b) {
            *yp = adjust->x0;
        } else if (y > adjust->xma && y < adjust->xmb) {
            *yp = adjust->xm;
        } else if (y > adjust->x1a && y < adjust->x1b) {
            *yp = adjust->x1;
        }
    }
}

SplashXPath::~SplashXPath()
{
    gfree(segs);
}

// Add space for <nSegs> more segments
void SplashXPath::grow(int nSegs)
{
    if (length + nSegs > size) {
        if (size == 0) {
            size = 32;
        }
        while (size < length + nSegs) {
            size *= 2;
        }
        segs = (SplashXPathSeg *)greallocn_checkoverflow(segs, size, sizeof(SplashXPathSeg));
        if (unlikely(!segs)) {
            length = 0;
            size = 0;
        }
    }
}

void SplashXPath::addCurve(SplashCoord x0, SplashCoord y0, SplashCoord x1, SplashCoord y1, SplashCoord x2, SplashCoord y2, SplashCoord x3, SplashCoord y3, SplashCoord flatness, bool first, bool last, bool end0, bool end1)
{
    SplashCoord *cx = new SplashCoord[(splashMaxCurveSplits + 1) * 3];
    SplashCoord *cy = new SplashCoord[(splashMaxCurveSplits + 1) * 3];
    int *cNext = new int[splashMaxCurveSplits + 1];
    SplashCoord xl0, xl1, xl2, xr0, xr1, xr2, xr3, xx1, xx2, xh;
    SplashCoord yl0, yl1, yl2, yr0, yr1, yr2, yr3, yy1, yy2, yh;
    SplashCoord dx, dy, mx, my, d1, d2, flatness2;
    int p1, p2, p3;

    flatness2 = flatness * flatness;

    // initial segment
    p1 = 0;
    p2 = splashMaxCurveSplits;

    *(cx + p1 * 3 + 0) = x0;
    *(cx + p1 * 3 + 1) = x1;
    *(cx + p1 * 3 + 2) = x2;
    *(cx + p2 * 3 + 0) = x3;

    *(cy + p1 * 3 + 0) = y0;
    *(cy + p1 * 3 + 1) = y1;
    *(cy + p1 * 3 + 2) = y2;
    *(cy + p2 * 3 + 0) = y3;

    *(cNext + p1) = p2;

    while (p1 < splashMaxCurveSplits) {

        // get the next segment
        xl0 = *(cx + p1 * 3 + 0);
        xx1 = *(cx + p1 * 3 + 1);
        xx2 = *(cx + p1 * 3 + 2);

        yl0 = *(cy + p1 * 3 + 0);
        yy1 = *(cy + p1 * 3 + 1);
        yy2 = *(cy + p1 * 3 + 2);

        p2 = *(cNext + p1);

        xr3 = *(cx + p2 * 3 + 0);
        yr3 = *(cy + p2 * 3 + 0);

        // compute the distances from the control points to the
        // midpoint of the straight line (this is a bit of a hack, but
        // it's much faster than computing the actual distances to the
        // line)
        mx = (xl0 + xr3) * 0.5;
        my = (yl0 + yr3) * 0.5;
        dx = xx1 - mx;
        dy = yy1 - my;
        d1 = dx * dx + dy * dy;
        dx = xx2 - mx;
        dy = yy2 - my;
        d2 = dx * dx + dy * dy;

        // if the curve is flat enough, or no more subdivisions are
        // allowed, add the straight line segment
        if (p2 - p1 == 1 || (d1 <= flatness2 && d2 <= flatness2)) {
            addSegment(xl0, yl0, xr3, yr3);
            p1 = p2;

            // otherwise, subdivide the curve
        } else {
            xl1 = (xl0 + xx1) * 0.5;
            yl1 = (yl0 + yy1) * 0.5;
            xh = (xx1 + xx2) * 0.5;
            yh = (yy1 + yy2) * 0.5;
            xl2 = (xl1 + xh) * 0.5;
            yl2 = (yl1 + yh) * 0.5;
            xr2 = (xx2 + xr3) * 0.5;
            yr2 = (yy2 + yr3) * 0.5;
            xr1 = (xh + xr2) * 0.5;
            yr1 = (yh + yr2) * 0.5;
            xr0 = (xl2 + xr1) * 0.5;
            yr0 = (yl2 + yr1) * 0.5;
            // add the new subdivision points
            p3 = (p1 + p2) / 2;

            *(cx + p1 * 3 + 1) = xl1;
            *(cx + p1 * 3 + 2) = xl2;

            *(cy + p1 * 3 + 1) = yl1;
            *(cy + p1 * 3 + 2) = yl2;

            *(cNext + p1) = p3;

            *(cx + p3 * 3 + 0) = xr0;
            *(cx + p3 * 3 + 1) = xr1;
            *(cx + p3 * 3 + 2) = xr2;

            *(cy + p3 * 3 + 0) = yr0;
            *(cy + p3 * 3 + 1) = yr1;
            *(cy + p3 * 3 + 2) = yr2;

            *(cNext + p3) = p2;
        }
    }

    delete[] cx;
    delete[] cy;
    delete[] cNext;
}

void SplashXPath::addSegment(SplashCoord x0, SplashCoord y0, SplashCoord x1, SplashCoord y1)
{
    grow(1);
    if (unlikely(!segs)) {
        return;
    }
    segs[length].x0 = x0;
    segs[length].y0 = y0;
    segs[length].x1 = x1;
    segs[length].y1 = y1;
    segs[length].flags = 0;
    if (y1 == y0) {
        segs[length].dxdy = segs[length].dydx = 0;
        segs[length].flags |= splashXPathHoriz;
        if (x1 == x0) {
            segs[length].flags |= splashXPathVert;
        }
    } else if (x1 == x0) {
        segs[length].dxdy = segs[length].dydx = 0;
        segs[length].flags |= splashXPathVert;
    } else {
        segs[length].dxdy = (x1 - x0) / (y1 - y0);
        segs[length].dydx = (SplashCoord)1 / segs[length].dxdy;
    }
    if (y0 > y1) {
        segs[length].flags |= splashXPathFlip;
    }
    ++length;
}

struct cmpXPathSegsFunctor
{
    bool operator()(const SplashXPathSeg &seg0, const SplashXPathSeg &seg1)
    {
        SplashCoord x0, y0, x1, y1;

        if (seg0.flags & splashXPathFlip) {
            x0 = seg0.x1;
            y0 = seg0.y1;
        } else {
            x0 = seg0.x0;
            y0 = seg0.y0;
        }
        if (seg1.flags & splashXPathFlip) {
            x1 = seg1.x1;
            y1 = seg1.y1;
        } else {
            x1 = seg1.x0;
            y1 = seg1.y0;
        }
        return (y0 != y1) ? (y0 < y1) : (x0 < x1);
    }
};

void SplashXPath::aaScale()
{
    SplashXPathSeg *seg;
    int i;

    for (i = 0, seg = segs; i < length; ++i, ++seg) {
        seg->x0 *= splashAASize;
        seg->y0 *= splashAASize;
        seg->x1 *= splashAASize;
        seg->y1 *= splashAASize;
    }
}

void SplashXPath::sort()
{
    std::sort(segs, segs + length, cmpXPathSegsFunctor());
}