/* * $XFree86: $ * * Copyright © 2002 Carl D. Worth * * Permission to use, copy, modify, distribute, and sell this software * and its documentation for any purpose is hereby granted without * fee, provided that the above copyright notice appear in all copies * and that both that copyright notice and this permission notice * appear in supporting documentation, and that the name of Carl * D. Worth not be used in advertising or publicity pertaining to * distribution of the software without specific, written prior * permission. Carl D. Worth makes no representations about the * suitability of this software for any purpose. It is provided "as * is" without express or implied warranty. * * CARL D. WORTH DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS * SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND * FITNESS, IN NO EVENT SHALL CARL D. WORTH BE LIABLE FOR ANY SPECIAL, * 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 "xrint.h" /* private functions */ static void _TranslatePoint(XPointFixed *pt, XPointFixed *offset); static int _XrStrokerFaceClockwise(XrStrokeFace *in, XrStrokeFace *out); static XrError _XrStrokerJoin(XrStroker *stroker, XrStrokeFace *in, XrStrokeFace *out); static void XrStrokerStartDash (XrStroker *stroker) { XrGState *gstate = stroker->gstate; double offset; int on = 1; int i = 0; offset = gstate->dash_offset; while (offset >= gstate->dashes[i]) { offset -= gstate->dashes[i]; on = 1-on; if (++i == gstate->ndashes) i = 0; } stroker->dash_index = i; stroker->dash_on = on; stroker->dash_remain = gstate->dashes[i] - offset; } static void XrStrokerStepDash (XrStroker *stroker, double step) { XrGState *gstate = stroker->gstate; stroker->dash_remain -= step; if (stroker->dash_remain <= 0) { stroker->dash_index++; if (stroker->dash_index == gstate->ndashes) stroker->dash_index = 0; stroker->dash_on = 1-stroker->dash_on; stroker->dash_remain = gstate->dashes[stroker->dash_index]; } } void XrStrokerInit(XrStroker *stroker, XrGState *gstate, XrTraps *traps) { stroker->gstate = gstate; stroker->traps = traps; stroker->have_prev = 0; stroker->have_first = 0; stroker->is_first = 1; if (gstate->dashes) XrStrokerStartDash (stroker); } void XrStrokerDeinit(XrStroker *stroker) { /* nothing to do here */ } static void _TranslatePoint(XPointFixed *pt, XPointFixed *offset) { pt->x += offset->x; pt->y += offset->y; } static int _XrStrokerFaceClockwise(XrStrokeFace *in, XrStrokeFace *out) { XPointDouble d_in, d_out; d_in.x = XFixedToDouble(in->cw.x - in->pt.x); d_in.y = XFixedToDouble(in->cw.y - in->pt.y); d_out.x = XFixedToDouble(out->cw.x - out->pt.x); d_out.y = XFixedToDouble(out->cw.y - out->pt.y); return d_out.y * d_in.x > d_in.y * d_out.x; } static XrError _XrStrokerJoin(XrStroker *stroker, XrStrokeFace *in, XrStrokeFace *out) { XrError err; XrGState *gstate = stroker->gstate; int clockwise = _XrStrokerFaceClockwise (in, out); XrPolygon polygon; XPointFixed *inpt, *outpt; /* XXX: There might be a more natural place to check for the degenerate join later in the code, (such as right before dividing by zero) */ if (in->cw.x == out->cw.x && in->cw.y == out->cw.y && in->ccw.x == out->ccw.x && in->ccw.y == out->ccw.y) { return XrErrorSuccess; } if (clockwise) { inpt = &in->cw; outpt = &out->cw; } else { inpt = &in->ccw; outpt = &out->ccw; } XrPolygonInit (&polygon); switch (gstate->line_join) { case XrLineJoinRound: { } case XrLineJoinMiter: { XDouble c = in->vector.x * out->vector.x + in->vector.y * out->vector.y; double ml = gstate->miter_limit; if (2 <= ml * ml * (1 - c)) { XDouble x1, y1, x2, y2; XDouble mx, my; XDouble dx1, dx2, dy1, dy2; XPointFixed outer; XPointDouble v1, v2; x1 = XFixedToDouble(inpt->x); y1 = XFixedToDouble(inpt->y); v1 = in->vector; XrTransformPointWithoutTranslate(&gstate->ctm, &v1); dx1 = v1.x; dy1 = v1.y; x2 = XFixedToDouble(outpt->x); y2 = XFixedToDouble(outpt->y); v2 = out->vector; XrTransformPointWithoutTranslate(&gstate->ctm, &v2); dx2 = v2.x; dy2 = v2.y; my = (((x2 - x1) * dy1 * dy2 - y2 * dx2 * dy1 + y1 * dx1 * dy2) / (dx1 * dy2 - dx2 * dy1)); if (dy1) mx = (my - y1) * dx1 / dy1 + x1; else mx = (my - y2) * dx2 / dy2 + x2; outer.x = XDoubleToFixed(mx); outer.y = XDoubleToFixed(my); XrPolygonAddEdge (&polygon, &in->pt, inpt); XrPolygonAddEdge (&polygon, inpt, &outer); XrPolygonAddEdge (&polygon, &outer, outpt); XrPolygonAddEdge (&polygon, outpt, &in->pt); break; } /* fall through ... */ } case XrLineJoinBevel: { XrPolygonAddEdge (&polygon, &in->pt, inpt); XrPolygonAddEdge (&polygon, inpt, outpt); XrPolygonAddEdge (&polygon, outpt, &in->pt); break; } } err = XrTrapsTessellatePolygon (stroker->traps, &polygon, 1); XrPolygonDeinit (&polygon); return err; } static XrError _XrStrokerCap(XrStroker *stroker, XrStrokeFace *f) { XrError err; XrGState *gstate = stroker->gstate; XrPolygon polygon; if (gstate->line_cap == XrLineCapButt) return XrErrorSuccess; XrPolygonInit (&polygon); switch (gstate->line_cap) { case XrLineCapRound: { break; } case XrLineCapSquare: { XPointDouble vector = f->vector; XPointFixed fvector; XPointFixed occw, ocw; vector.x *= gstate->line_width / 2.0; vector.y *= gstate->line_width / 2.0; XrTransformPointWithoutTranslate(&gstate->ctm, &vector); fvector.x = XDoubleToFixed(vector.x); fvector.y = XDoubleToFixed(vector.y); occw.x = f->ccw.x + fvector.x; occw.y = f->ccw.y + fvector.y; ocw.x = f->cw.x + fvector.x; ocw.y = f->cw.y + fvector.y; XrPolygonAddEdge (&polygon, &f->cw, &ocw); XrPolygonAddEdge (&polygon, &ocw, &occw); XrPolygonAddEdge (&polygon, &occw, &f->ccw); XrPolygonAddEdge (&polygon, &f->ccw, &f->cw); break; } case XrLineCapButt: { break; } } err = XrTrapsTessellatePolygon (stroker->traps, &polygon, 1); XrPolygonDeinit (&polygon); return err; } static void _ComputeFace(XPointFixed *pt, XrSlopeFixed *slope, XrGState *gstate, XrStrokeFace *face) { double mag, tmp; XPointDouble vector; XPointDouble user_vector; XPointFixed offset_ccw, offset_cw; vector.x = XFixedToDouble(slope->dx); vector.y = XFixedToDouble(slope->dy); XrTransformPointWithoutTranslate(&gstate->ctm_inverse, &vector); mag = sqrt(vector.x * vector.x + vector.y * vector.y); if (mag == 0) { /* XXX: Can't compute other face points. Do we want a tag in the face for this case? */ return; } vector.x /= mag; vector.y /= mag; user_vector = vector; tmp = vector.x; vector.x = - vector.y * (gstate->line_width / 2.0); vector.y = tmp * (gstate->line_width / 2.0); XrTransformPointWithoutTranslate(&gstate->ctm, &vector); offset_ccw.x = XDoubleToFixed(vector.x); offset_ccw.y = XDoubleToFixed(vector.y); offset_cw.x = -offset_ccw.x; offset_cw.y = -offset_ccw.y; face->ccw = *pt; _TranslatePoint(&face->ccw, &offset_ccw); face->pt = *pt; face->cw = *pt; _TranslatePoint(&face->cw, &offset_cw); face->vector.x = user_vector.x; face->vector.y = user_vector.y; } static XrError XrStrokerAddSubEdge (XrStroker *stroker, XPointFixed *p1, XPointFixed *p2, XrStrokeFace *start, XrStrokeFace *end) { XrGState *gstate = stroker->gstate; XPointFixed quad[4]; XrSlopeFixed slope; if (p1->x == p2->x && p1->y == p2->y) { /* XXX: Need to rethink how this case should be handled, (both here and in _ComputeFace). The key behavior is that degenerate paths should draw as much as possible. */ return XrErrorSuccess; } ComputeSlope(p1, p2, &slope); _ComputeFace(p1, &slope, gstate, start); /* XXX: This could be optimized slightly by not calling _ComputeFace again but rather translating the relevant fields from start. */ _ComputeFace(p2, &slope, gstate, end); quad[0] = start->cw; quad[1] = start->ccw; quad[2] = end->ccw; quad[3] = end->cw; return XrTrapsTessellateRectangle(stroker->traps, quad); } XrError XrStrokerAddEdge(void *closure, XPointFixed *p1, XPointFixed *p2) { XrError err; XrStroker *stroker = closure; XrStrokeFace start, end; if (p1->x == p2->x && p1->y == p2->y) { /* XXX: Need to rethink how this case should be handled, (both here and in XrStrokerAddSubEdge and in _ComputeFace). The key behavior is that degenerate paths should draw as much as possible. */ return XrErrorSuccess; } err = XrStrokerAddSubEdge (stroker, p1, p2, &start, &end); if (err) return err; if (stroker->have_prev) { err = _XrStrokerJoin (stroker, &stroker->prev, &start); if (err) return err; } else { stroker->have_prev = 1; if (stroker->is_first) { stroker->have_first = 1; stroker->first = start; } } stroker->prev = end; stroker->is_first = 0; return XrErrorSuccess; } /* * Dashed lines. Cap each dash end, join around turns when on */ XrError XrStrokerAddEdgeDashed (void *closure, XPointFixed *p1, XPointFixed *p2) { XrError err = XrErrorSuccess; XrStroker *stroker = closure; XrGState *gstate = stroker->gstate; double mag, remain, tmp; XPointDouble vector, d2; XPointFixed fd1, fd2; int first = 1; XrStrokeFace sub_start, sub_end; vector.x = XFixedToDouble(p2->x - p1->x); vector.y = XFixedToDouble(p2->y - p1->y); XrTransformPointWithoutTranslate(&gstate->ctm_inverse, &vector); mag = sqrt(vector.x * vector.x + vector.y * vector.y); remain = mag; fd1 = *p1; while (remain) { tmp = stroker->dash_remain; if (tmp > remain) tmp = remain; remain -= tmp; d2.x = vector.x * (mag - remain)/mag; d2.y = vector.y * (mag - remain)/mag; XrTransformPointWithoutTranslate (&gstate->ctm, &d2); fd2.x = XDoubleToFixed (d2.x); fd2.y = XDoubleToFixed (d2.y); fd2.x += p1->x; fd2.y += p1->y; /* * XXX simplify this case analysis */ if (stroker->dash_on) { err = XrStrokerAddSubEdge (stroker, &fd1, &fd2, &sub_start, &sub_end); if (err) return err; if (!first) { /* * Not first dash in this segment, cap start */ err = _XrStrokerCap (stroker, &sub_start); if (err) return err; } else { /* * First in this segment, join to any prev, else * if at start of sub-path, mark position, else * cap */ if (stroker->have_prev) { err = _XrStrokerJoin (stroker, &stroker->prev, &sub_start); if (err) return err; } else { if (stroker->is_first) { stroker->have_first = 1; stroker->first = sub_start; } else { err = _XrStrokerCap (stroker, &sub_start); if (err) return err; } } } if (remain) { /* * Cap if not at end of segment */ err = _XrStrokerCap (stroker, &sub_end); if (err) return err; } else { /* * Mark previous line face and fix up next time * through */ stroker->prev = sub_end; stroker->have_prev = 1; } } else { /* * If starting with off dash, check previous face * and cap if necessary */ if (first) { if (stroker->have_prev) { err = _XrStrokerCap (stroker, &stroker->prev); if (err) return err; } } if (!remain) stroker->have_prev = 0; } XrStrokerStepDash (stroker, tmp); fd1 = fd2; first = 0; } stroker->is_first = 0; return err; } XrError XrStrokerAddSpline (void *closure, XPointFixed *a, XPointFixed *b, XPointFixed *c, XPointFixed *d) { XrError err = XrErrorSuccess; XrStroker *stroker = closure; XrGState *gstate = stroker->gstate; XrSpline spline; XrPen pen; XrStrokeFace start, end; XrPenFlaggedPoint extra_points[4]; err = XrSplineInit(&spline, a, b, c, d); if (err == XrErrorDegenerate) return XrErrorSuccess; err = XrPenInitCopy(&pen, &gstate->pen_regular); if (err) goto CLEANUP_SPLINE; _ComputeFace(a, &spline.initial_slope, gstate, &start); _ComputeFace(d, &spline.final_slope, gstate, &end); if (stroker->have_prev) { err = _XrStrokerJoin (stroker, &stroker->prev, &start); if (err) return err; } else { stroker->have_prev = 1; if (stroker->is_first) { stroker->have_first = 1; stroker->first = start; } } stroker->prev = end; stroker->is_first = 0; extra_points[0].pt = start.cw; extra_points[0].flag = XrPenVertexFlagForward; extra_points[0].pt.x -= start.pt.x; extra_points[0].pt.y -= start.pt.y; extra_points[1].pt = start.ccw; extra_points[1].flag = XrPenVertexFlagNone; extra_points[1].pt.x -= start.pt.x; extra_points[1].pt.y -= start.pt.y; extra_points[2].pt = end.cw; extra_points[2].flag = XrPenVertexFlagNone; extra_points[2].pt.x -= end.pt.x; extra_points[2].pt.y -= end.pt.y; extra_points[3].pt = end.ccw; extra_points[3].flag = XrPenVertexFlagReverse; extra_points[3].pt.x -= end.pt.x; extra_points[3].pt.y -= end.pt.y; err = XrPenAddPoints(&pen, extra_points, 4); if (err) goto CLEANUP_PEN; err = XrPenStrokeSpline(&pen, &spline, gstate->tolerance, stroker->traps); if (err) goto CLEANUP_PEN; CLEANUP_PEN: XrPenDeinit(&pen); CLEANUP_SPLINE: XrSplineDeinit(&spline); return err; } XrError XrStrokerDoneSubPath (void *closure, XrSubPathDone done) { XrError err; XrStroker *stroker = closure; switch (done) { case XrSubPathDoneJoin: if (stroker->have_first && stroker->have_prev) { err = _XrStrokerJoin (stroker, &stroker->prev, &stroker->first); if (err) return err; break; } /* fall through... */ case XrSubPathDoneCap: if (stroker->have_first) { err = _XrStrokerCap (stroker, &stroker->first); if (err) return err; } if (stroker->have_prev) { err = _XrStrokerCap (stroker, &stroker->prev); if (err) return err; } break; } stroker->have_prev = 0; stroker->have_first = 0; stroker->is_first = 1; return XrErrorSuccess; } XrError XrStrokerDonePath (void *closure) { return XrErrorSuccess; }