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/* This module contains the miZeroLine() and miZeroDash() functions. They
a rasterize single-pixel (i.e., `zero-width') Bresenham polyline, either
solid or dashed.
The cap mode and join mode in the graphics context are ignored, except
that if the cap mode is MI_CAP_NOT_LAST, the final pixel of the polyline
is omitted.
All painting goes through the low-level MI_PAINT_SPANS() and
MI_COPY_AND_PAINT_SPANS() macros. */
/* Historical note: this is a merger of MI code from X11, written by Ken
Whaley, with low-level X11 CFB (color frame-buffer) code, of unknown
authorship. (I wrote Ken, and he remembers writing the monochrome frame
buffer code, but not the color code.) That's because the X11 MI code
included miZeroLine(), but not miZeroDash(). I based the latter on the
CFB routines. I needed to hack them extensively so that they would
generate a list of spans to paint. I also removed clipping code. --rsm */
#include "sys-defines.h"
#include "extern.h"
#include "xmi.h"
#include "mi_spans.h"
#include "mi_gc.h"
#include "mi_api.h"
#include "mi_line.h"
/* Comment on drawing solid lines (from Ken Whaley):
NON-SLOPED LINES
Horizontal lines are always drawn left to right; we have to move the
endpoints right by one after they're swapped. Vertical lines are always
drawn top to bottom (y-increasing). This requires adding one to the
y-coordinate of each endpoint after swapping. */
/* forward references */
static void cfbBresD ____P((miPaintedSet *paintedSet, const miGC *pGC, int *pdashNum, int *pdashIndex, const unsigned int *pDash, int numInDashList, int *pdashOffset, bool isDoubleDash, int signdx, int signdy, int axis, int x1, int y1, int e, int e1, int e2, int len));
static void cfbBresS ____P((miPaintedSet *paintedSet, const miGC *pGC, int signdx, int signdy, int axis, int x1, int y1, int e, int e1, int e2, int len));
static void cfbHorzS ____P((miPaintedSet *paintedSet, const miGC *pGC, int x1, int y1, int len));
static void cfbVertS ____P((miPaintedSet *paintedSet, const miGC *pGC, int x1, int y1, int len));
/* Macro for painting a single point. Used for ending line segments. */
#define MI_PAINT_POINT(paintedSet, pixel, xx, yy) \
{\
miPoint *point;\
unsigned int *width;\
point = (miPoint *)mi_xmalloc(sizeof(miPoint));\
width = (unsigned int *)mi_xmalloc(sizeof(unsigned int));\
*width = 1;\
point->x = xx;\
point->y = yy;\
MI_PAINT_SPANS(paintedSet, pixel, 1, point, width)\
}
/* Macro for generating a list of spans, used when the successive points on
a Bresenham line are generated. Assumes the availability of working
storage, accessed via pointers `ppt' and `pwidths', and also variables
numSpans (initted to 0), firstspan (initted to true), and ycurr. The
arrays should be at least as large as the longest generated Bresenham
line segment. */
#define MI_ADD_POINT(xx, yy, ppt, pwidth, numSpans, ycurr, firstspan, signdy) \
{\
if (!firstspan && yy == ycurr)\
{\
int xdelta = xx - ppt->x;\
if (xdelta < 0)\
{\
(*pwidth) -= xdelta;\
ppt->x = xx;\
}\
else if (xdelta > 0)\
{ \
unsigned int widthcurr = *pwidth; \
(*pwidth) = UMAX(widthcurr, (unsigned int)(1 + xdelta));\
} \
}\
else\
{\
if (!firstspan)\
{\
ppt += signdy;\
pwidth += signdy;\
}\
else\
firstspan = false;\
ppt->x = xx;\
ppt->y = yy;\
*pwidth = 1;\
ycurr = yy;\
++numSpans;\
}\
}
/*
* Draw a solid Bresenham polyline, i.e. a `zero-width' solid polyline,
* in paint type #1.
*/
void
#ifdef _HAVE_PROTOS
miZeroLine (miPaintedSet *paintedSet, const miGC *pGC, miCoordMode mode, int npt, const miPoint *pPts)
#else
miZeroLine (paintedSet, pGC, mode, npt, pPts)
miPaintedSet *paintedSet;
const miGC *pGC;
miCoordMode mode; /* Origin or Previous */
int npt; /* number of points */
const miPoint *pPts; /* point array */
#endif
{
const miPoint *ppt; /* pointer to point within array */
/* temporaries */
int xstart, ystart;
int x1, x2;
int y1, y2;
/* ensure we have >=1 points */
if (npt <= 0)
return;
/* loop through points, drawing a solid Bresenham segment for each line
segment */
ppt = pPts;
xstart = ppt->x;
ystart = ppt->y;
x2 = xstart;
y2 = ystart;
while (--npt)
{
x1 = x2;
y1 = y2;
++ppt;
x2 = ppt->x;
y2 = ppt->y;
if (mode == MI_COORD_MODE_PREVIOUS)
/* convert from relative coordinates */
{
x2 += x1;
y2 += y1;
}
if (x1 == x2) /* vertical line */
{
if (y1 > y2)
/* make line go top to bottom, keeping endpoint semantics */
{
int tmp;
tmp = y2;
y2 = y1 + 1;
y1 = tmp + 1;
}
/* draw line */
if (y1 != y2)
cfbVertS (paintedSet, pGC, x1, y1, y2 - y1);
/* restore final point */
y2 = ppt->y;
}
else if (y1 == y2) /* horizontal line */
{
if (x1 > x2)
/* force line from left to right, keeping endpoint semantics */
{
int tmp;
tmp = x2;
x2 = x1 + 1;
x1 = tmp + 1;
}
/* draw line */
if (x1 != x2)
cfbHorzS (paintedSet, pGC, x1, y1, x2 - x1);
/* restore final point */
x2 = ppt->x;
}
else /* sloped line */
{
int adx; /* abs values of dx and dy */
int ady;
int signdx; /* sign of dx and dy */
int signdy;
int e, e1, e2; /* Bresenham error and increments */
int axis; /* major axis */
int len; /* length of segment */
AbsDeltaAndSign(x2, x1, adx, signdx);
AbsDeltaAndSign(y2, y1, ady, signdy);
if (adx > ady)
{
axis = X_AXIS;
e1 = ady << 1;
e2 = e1 - (adx << 1);
e = e1 - adx;
FIXUP_X_MAJOR_ERROR(e, signdx, signdy);
}
else
{
axis = Y_AXIS;
e1 = adx << 1;
e2 = e1 - (ady << 1);
e = e1 - ady;
FIXUP_Y_MAJOR_ERROR(e, signdx, signdy);
}
/* we have Bresenham parameters and two points, so all we need to
do now is draw */
if (axis == X_AXIS)
len = adx;
else
len = ady;
cfbBresS (paintedSet, pGC,
signdx, signdy, axis, x1, y1,
e, e1, e2, len);
} /* sloped line */
} /* while (--npt) */
/* Paint the last point if the end style isn't CapNotLast. (I.e. assume
that a round/butt/projecting/triangular cap that is one pixel wide is
the same as the single pixel of the endpoint.) */
if (pGC->capStyle != (int)MI_CAP_NOT_LAST
&&
(xstart != x2 || ystart != y2 || ppt == pPts + 1))
MI_PAINT_POINT(paintedSet, pGC->pixels[1], x2, y2)
}
/*
* Draw a dashed Bresenham polyline, i.e. a `zero-width' dashed polyline.
*/
void
#ifdef _HAVE_PROTOS
miZeroDash (miPaintedSet *paintedSet, const miGC *pGC, miCoordMode mode, int npt, const miPoint *pPts)
#else
miZeroDash (paintedSet, pGC, mode, npt, pPts)
miPaintedSet *paintedSet;
const miGC *pGC;
miCoordMode mode; /* Origin or Previous */
int npt; /* number of points */
const miPoint *pPts; /* point array */
#endif
{
const miPoint *ppt; /* pointer to current point */
/* temporaries */
int xstart, ystart;
int x1, x2, y1, y2;
const unsigned int *pDash;
int dashNum, dashIndex;
int dashOffset;
int numInDashList;
bool isDoubleDash;
/* ensure we have >=1 points */
if (npt <= 0)
return;
/* perform initial offsetting into the dash array; compute dash values */
pDash = pGC->dash;
numInDashList = pGC->numInDashList;
isDoubleDash = (pGC->lineStyle == (int)MI_LINE_DOUBLE_DASH ? true : false);
dashNum = 0;
dashIndex = 0;
dashOffset = 0;
miStepDash (pGC->dashOffset, &dashNum, &dashIndex,
pDash, numInDashList, &dashOffset);
/* loop through points, drawing a dashed Bresenham segment for each line
segment of nonzero length */
ppt = pPts;
xstart = ppt->x;
ystart = ppt->y;
x2 = xstart;
y2 = ystart;
while (--npt)
{
x1 = x2;
y1 = y2;
++ppt;
x2 = ppt->x;
y2 = ppt->y;
if (mode == MI_COORD_MODE_PREVIOUS)
/* convert from relative coordinates */
{
x2 += x1;
y2 += y1;
}
/* use Bresenham algorithm for sloped lines (no special treatment for
horizontal or vertical lines, unlike the undashed case) */
{
int adx; /* abs values of dx and dy */
int ady;
int signdx; /* sign of dx and dy */
int signdy;
int e, e1, e2; /* Bresenham error and increments */
int axis; /* major axis */
int len;
AbsDeltaAndSign(x2, x1, adx, signdx);
AbsDeltaAndSign(y2, y1, ady, signdy);
if (adx > ady)
{
axis = X_AXIS;
e1 = ady << 1;
e2 = e1 - (adx << 1);
e = e1 - adx;
len = adx;
FIXUP_X_MAJOR_ERROR(e, signdx, signdy);
}
else
{
axis = Y_AXIS;
e1 = adx << 1;
e2 = e1 - (ady << 1);
e = e1 - ady;
len = ady;
FIXUP_Y_MAJOR_ERROR(e, signdx, signdy);
}
/* we have Bresenham parameters and two points, so all we need to
do now is draw (updating dashNum, dashIndex and dashOffset) */
cfbBresD (paintedSet, pGC,
&dashNum, &dashIndex, pDash, numInDashList,
&dashOffset, isDoubleDash,
signdx, signdy, axis, x1, y1,
e, e1, e2, len);
}
} /* while (nline--) */
/* paint the last point if the end style isn't CapNotLast.
(Assume that a projecting, butt, or round cap that is one
pixel wide is the same as the single pixel of the endpoint.) */
if (pGC->capStyle != (int)MI_CAP_NOT_LAST
&&
(xstart != x2 || ystart != y2 || ppt == pPts + 1))
{
if (dashNum & 1)
{
/* background dash */
if (isDoubleDash)
/* paint, in paint type #0 */
MI_PAINT_POINT(paintedSet, pGC->pixels[0], x2, y2);
}
else
/* foreground dash */
{
/* use a paint type that cycles through 1..(numPixels-1) */
int numPixels = pGC->numPixels;
int paintType = 1 + ((dashNum / 2) % (numPixels - 1));
MI_PAINT_POINT(paintedSet, pGC->pixels[paintType], x2, y2);
}
}
}
/* Internal: draw solid Bresenham line segment, in paint type #1. Called
by miZeroLine(). Endpoint semantics are used, i.e. we paint only len
pixels (i.e. |dx| or |dy| pixels), not including the endpoint. */
static void
#ifdef _HAVE_PROTOS
cfbBresS (miPaintedSet *paintedSet, const miGC *pGC, int signdx, int signdy, int axis, int x1, int y1, int e, int e1, int e2, int len)
#else
cfbBresS (paintedSet, pGC, signdx, signdy, axis, x1, y1, e, e1, e2, len)
miPaintedSet *paintedSet;
const miGC *pGC;
int signdx;
int signdy; /* signs of directions */
int axis; /* major axis (Y_AXIS or X_AXIS) */
int x1, y1; /* initial point */
int e; /* error accumulator */
int e1; /* Bresenham increments */
int e2;
int len; /* length of line in pixels */
#endif
{
miPoint *pptInit, *pptLast;
unsigned int *pwidthInit, *pwidthLast;
int x, y;
int e3;
/* variables in span generation code, i.e. in MI_ADD_POINT() */
int numSpans;
int ycurr;
miPoint *ppt;
unsigned int *pwidth;
bool firstspan;
if (len == 0)
return;
/* set up work arrays */
pptInit = (miPoint *)mi_xmalloc(len * sizeof(miPoint));
pwidthInit = (unsigned int *)mi_xmalloc(len * sizeof(unsigned int));
pptLast = pptInit + (len - 1);
pwidthLast = pwidthInit + (len - 1);
/* reset variables used in MI_ADD_POINT() */
numSpans = 0;
ycurr = 0;
firstspan = true;
if (signdy >= 0)
{
ppt = pptInit;
pwidth = pwidthInit;
}
else
{
ppt = pptLast;
pwidth = pwidthLast;
}
e3 = e2 - e1;
e = e - e1; /* make looping easier */
#define BresStep(minor,major) \
{if ((e += e1) >= 0) { e += e3; minor; } major;}
#define Loop_x(counter,store) while (counter--) \
{store; BresStep(y+=signdy,x+=signdx) }
#define Loop_y(counter,store) while (counter--) \
{store; BresStep(x+=signdx, y+=signdy) }
/* point to first point, and generate len pixels */
x = x1;
y = y1;
switch (axis)
{
case X_AXIS:
default:
Loop_x(len, MI_ADD_POINT(x, y, ppt, pwidth, numSpans, ycurr, firstspan, signdy))
break;
case Y_AXIS:
Loop_y(len, MI_ADD_POINT(x, y, ppt, pwidth, numSpans, ycurr, firstspan, signdy))
break;
}
if (numSpans > 0)
{
if (signdy < 0)
/* spans are offset, so shift downward */
{
miPoint *ppt_src = pptLast - (numSpans - 1);
miPoint *ppt_dst = pptInit;
unsigned int *pwidth_src = pwidthLast - (numSpans - 1);
unsigned int *pwidth_dst = pwidthInit;
int count = numSpans;
while (count--)
{
*ppt_dst++ = *ppt_src++;
*pwidth_dst++ = *pwidth_src++;
}
}
MI_PAINT_SPANS(paintedSet, pGC->pixels[1], numSpans, pptInit, pwidthInit)
}
}
/* Internal: draw dashed Bresenham line segment. Called by miZeroDash().
Endpoint semantics are used. */
static void
#ifdef _HAVE_PROTOS
cfbBresD (miPaintedSet *paintedSet, const miGC *pGC, int *pdashNum, int *pdashIndex, const unsigned int *pDash, int numInDashList, int *pdashOffset, bool isDoubleDash, int signdx, int signdy, int axis, int x1, int y1, int e, int e1, int e2, int len)
#else
cfbBresD (paintedSet, pGC, pdashNum, pdashIndex, pDash, numInDashList, pdashOffset, isDoubleDash, signdx, signdy, axis, x1, y1, e, e1, e2, len)
miPaintedSet *paintedSet;
const miGC *pGC;
int *pdashNum; /* absolute dash number */
int *pdashIndex; /* index into dash array */
const unsigned int *pDash; /* dash array */
int numInDashList; /* length of dash array */
int *pdashOffset; /* offset into current dash */
bool isDoubleDash;
int signdx, signdy; /* signs of directions */
int axis; /* major axis (Y_AXIS or X_AXIS) */
int x1, y1; /* initial point */
int e; /* error accumulator */
int e1; /* Bresenham increments */
int e2;
int len; /* length of line in pixels */
#endif
{
miPoint *pptInit_fg, *pptInit_bg = (miPoint *)NULL;
miPoint *pptLast_fg, *pptLast_bg = (miPoint *)NULL;
unsigned int *pwidthInit_fg, *pwidthInit_bg = (unsigned int *)NULL;
unsigned int *pwidthLast_fg, *pwidthLast_bg = (unsigned int *)NULL;
int x, y;
int e3;
int dashNum, dashIndex;
int dashOffset;
int dashRemaining;
int thisDash;
/* variables in span generation code, i.e. in MI_ADD_POINT() */
int numSpans_fg, numSpans_bg = 0;
int ycurr_fg, ycurr_bg = 0;
miPoint *ppt_fg, *ppt_bg = (miPoint *)NULL;
unsigned int *pwidth_fg, *pwidth_bg = (unsigned int *)NULL;
bool firstspan_fg, firstspan_bg = false;
/* set up work arrays */
pptInit_fg = (miPoint *)mi_xmalloc(len * sizeof(miPoint));
pwidthInit_fg = (unsigned int *)mi_xmalloc(len * sizeof(unsigned int));
pptLast_fg = pptInit_fg + (len - 1);
pwidthLast_fg = pwidthInit_fg + (len - 1);
if (isDoubleDash)
{
pptInit_bg = (miPoint *)mi_xmalloc(len * sizeof(miPoint));
pwidthInit_bg = (unsigned int *)mi_xmalloc(len * sizeof(unsigned int));
pptLast_bg = pptInit_bg + (len - 1);
pwidthLast_bg = pwidthInit_bg + (len - 1);
}
dashNum = *pdashNum; /* absolute number of current dash */
dashIndex = *pdashIndex; /* index of current dash */
dashOffset = *pdashOffset; /* offset into current dash */
dashRemaining = (int)(pDash[dashIndex]) - dashOffset; /* how much is left */
if (len <= (thisDash = dashRemaining))
/* line segment will be solid, not dashed */
{
thisDash = len;
dashRemaining -= len;
}
#define NextDash {\
dashNum++; \
dashIndex++; \
if (dashIndex == numInDashList) \
dashIndex = 0; \
dashRemaining = (int)(pDash[dashIndex]); \
if ((thisDash = dashRemaining) >= len) \
{ \
dashRemaining -= len; \
thisDash = len; \
} \
}
e3 = e2-e1;
e = e - e1; /* make looping easier */
/* point to first point */
x = x1;
y = y1;
/* loop, generating dashes (in the absence of dashing, would
generate len pixels in all) */
for ( ; ; )
{
len -= thisDash;
/* reset variables used in MI_ADD_POINT() */
numSpans_fg = 0;
ycurr_fg = 0;
firstspan_fg = true;
if (signdy >= 0)
{
ppt_fg = pptInit_fg;
pwidth_fg = pwidthInit_fg;
}
else
{
ppt_fg = pptLast_fg;
pwidth_fg = pwidthLast_fg;
}
if (isDoubleDash)
{
numSpans_bg = 0;
ycurr_bg = 0;
firstspan_bg = true;
ppt_bg = pptInit_bg;
pwidth_bg = pwidthInit_bg;
if (signdy >= 0)
{
ppt_bg = pptInit_bg;
pwidth_bg = pwidthInit_bg;
}
else
{
ppt_bg = pptLast_bg;
pwidth_bg = pwidthLast_bg;
}
}
switch (axis)
{
case X_AXIS:
default:
if (dashIndex & 1)
{
if (isDoubleDash)
{
/* create background dash */
Loop_x(thisDash, MI_ADD_POINT(x, y, ppt_bg, pwidth_bg, numSpans_bg, ycurr_bg, firstspan_bg, signdy))
}
else
/* not double dashing; no background dash */
Loop_x(thisDash, ;);
}
else
/* create foreground dash */
Loop_x(thisDash, MI_ADD_POINT(x, y, ppt_fg, pwidth_fg, numSpans_fg, ycurr_fg, firstspan_fg, signdy))
break;
case Y_AXIS:
if (dashIndex & 1)
{
if (isDoubleDash)
{
/* create background dash */
Loop_y(thisDash, MI_ADD_POINT(x, y, ppt_bg, pwidth_bg, numSpans_bg, ycurr_bg, firstspan_bg, signdy))
}
else
/* not double dashing; no background dash */
Loop_y(thisDash, ;);
}
else
/* create foreground dash */
Loop_y(thisDash, MI_ADD_POINT(x, y, ppt_fg, pwidth_fg, numSpans_fg, ycurr_fg, firstspan_fg, signdy))
break;
} /* end switch */
if (numSpans_fg > 0)
/* have a foreground dash to paint */
{
miPoint *pptStart_fg;
unsigned int *pwidthStart_fg;
if (signdy >= 0)
{
pptStart_fg = pptInit_fg;
pwidthStart_fg = pwidthInit_fg;
}
else
{
pptStart_fg = pptLast_fg - (numSpans_fg - 1);
pwidthStart_fg = pwidthLast_fg - (numSpans_fg - 1);
}
/* for foreground dash, use a paint type that cycles through
1..(numPixels-1) */
{
int numPixels = pGC->numPixels;
int paintType = 1 + ((dashNum / 2) % (numPixels - 1));
MI_COPY_AND_PAINT_SPANS(paintedSet, pGC->pixels[paintType], numSpans_fg, pptStart_fg, pwidthStart_fg)
}
}
if (isDoubleDash && numSpans_bg > 0)
/* have a background dash to paint */
{
miPoint *pptStart_bg;
unsigned int *pwidthStart_bg;
if (signdy >= 0)
{
pptStart_bg = pptInit_bg;
pwidthStart_bg = pwidthInit_bg;
}
else
{
pptStart_bg = pptLast_bg - (numSpans_bg - 1);
pwidthStart_bg = pwidthLast_bg - (numSpans_bg - 1);
}
/* for background dash, use paint type #0 */
MI_COPY_AND_PAINT_SPANS(paintedSet, pGC->pixels[0], numSpans_bg, pptStart_bg, pwidthStart_bg)
}
if (len == 0)
break; /* break out of dash-generating loop */
NextDash /* update dashNum, dashIndex, thisDash, dashRemaining */
} /* end infinite dash-generating loop */
*pdashNum = dashNum;
*pdashIndex = dashIndex;
*pdashOffset = (int)(pDash[dashIndex]) - dashRemaining;
free (pwidthInit_fg);
free (pptInit_fg);
if (isDoubleDash)
{
free (pwidthInit_bg);
free (pptInit_bg);
}
}
/* Internal: draw horizontal zero-width solid line segment, in paint type #1.
Called by miZeroLine().
Called with len >= 1, and len=x2-x1. Endpoint semantics
are used, so we paint only len pixels, i.e. x1..x2-1. */
static void
#ifdef _HAVE_PROTOS
cfbHorzS (miPaintedSet *paintedSet, const miGC *pGC, int x1, int y1, int len)
#else
cfbHorzS (paintedSet, pGC, x1, y1, len)
miPaintedSet *paintedSet;
const miGC *pGC;
int x1, y1; /* initial point */
int len; /* length of line */
#endif
{
miPoint *ppt;
unsigned int *pwidth;
ppt = (miPoint *)mi_xmalloc(sizeof(miPoint));
pwidth = (unsigned int *)mi_xmalloc(sizeof(unsigned int));
ppt->x = x1;
ppt->y = y1;
*pwidth = (unsigned int)len;
MI_PAINT_SPANS(paintedSet, pGC->pixels[1], 1, ppt, pwidth)
}
/* Internal: draw vertical zero-width solid line segment, in paint type #1.
Called by miZeroLine().
Called with len >= 1, and len=y2-y1. Endpoint semantics
are used, so we paint only len pixels, i.e. y1..y2-1. */
static void
#ifdef _HAVE_PROTOS
cfbVertS (miPaintedSet *paintedSet, const miGC *pGC, int x1, int y1, int len)
#else
cfbVertS (paintedSet, pGC, x1, y1, len)
miPaintedSet *paintedSet;
const miGC *pGC;
int x1, y1; /* initial point */
int len; /* length of line */
#endif
{
miPoint *ppt, *pptInit;
unsigned int *pwidth, *pwidthInit;
int i;
ppt = pptInit = (miPoint *)mi_xmalloc(len * sizeof(miPoint));
pwidth = pwidthInit = (unsigned int *)mi_xmalloc(len * sizeof(unsigned int));
for (i = 0; i < len; i++)
{
ppt->x = x1;
ppt->y = y1 + i;
ppt++;
*pwidth++ = (unsigned int)1;
}
MI_PAINT_SPANS(paintedSet, pGC->pixels[1], len, pptInit, pwidthInit)
}
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