📄 mifillarc.c
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/************************************************************Copyright (c) 1989 X ConsortiumPermission is hereby granted, free of charge, to any person obtaining a copyof this software and associated documentation files (the "Software"), to dealin the Software without restriction, including without limitation the rightsto use, copy, modify, merge, publish, distribute, sublicense, and/or sellcopies of the Software, and to permit persons to whom the Software isfurnished to do so, subject to the following conditions:The above copyright notice and this permission notice shall be included inall copies or substantial portions of the Software.THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS ORIMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THEX CONSORTIUM BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER INAN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR INCONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.Except as contained in this notice, the name of the X Consortium shall not beused in advertising or otherwise to promote the sale, use or other dealingsin this Software without prior written authorization from the X Consortium.Author: Bob Scheifler, MIT X Consortium********************************************************//* $XConsortium: mifillarc.c,v 5.18 95/01/10 20:59:49 kaleb Exp $ *//* $XFree86: xc/programs/Xserver/mi/mifillarc.c,v 3.2 1995/01/28 16:15:52 dawes Exp $ */#include <math.h>#include "X.h"#include "Xprotostr.h"#include "miscstruct.h"#include "gcstruct.h"#include "pixmapstr.h"#include "mifpoly.h"#include "mi.h"#include "mifillarc.h"#define QUADRANT (90 * 64)#define HALFCIRCLE (180 * 64)#define QUADRANT3 (270 * 64)#ifndef M_PI#define M_PI 3.14159265358979323846#endif#define Dsin(d) sin((double)d*(M_PI/11520.0))#define Dcos(d) cos((double)d*(M_PI/11520.0))voidmiFillArcSetup(arc, info) register xArc *arc; register miFillArcRec *info;{ info->y = arc->height >> 1; info->dy = arc->height & 1; info->yorg = arc->y + info->y; info->dx = arc->width & 1; info->xorg = arc->x + (arc->width >> 1) + info->dx; info->dx = 1 - info->dx; if (arc->width == arc->height) { /* (2x - 2xorg)^2 = d^2 - (2y - 2yorg)^2 */ /* even: xorg = yorg = 0 odd: xorg = .5, yorg = -.5 */ info->ym = 8; info->xm = 8; info->yk = info->y << 3; if (!info->dx) { info->xk = 0; info->e = -1; } else { info->y++; info->yk += 4; info->xk = -4; info->e = - (info->y << 3); } } else { /* h^2 * (2x - 2xorg)^2 = w^2 * h^2 - w^2 * (2y - 2yorg)^2 */ /* even: xorg = yorg = 0 odd: xorg = .5, yorg = -.5 */ info->ym = (arc->width * arc->width) << 3; info->xm = (arc->height * arc->height) << 3; info->yk = info->y * info->ym; if (!info->dy) info->yk -= info->ym >> 1; if (!info->dx) { info->xk = 0; info->e = - (info->xm >> 3); } else { info->y++; info->yk += info->ym; info->xk = -(info->xm >> 1); info->e = info->xk - info->yk; } }}voidmiFillArcDSetup(arc, info) register xArc *arc; register miFillArcDRec *info;{ /* h^2 * (2x - 2xorg)^2 = w^2 * h^2 - w^2 * (2y - 2yorg)^2 */ /* even: xorg = yorg = 0 odd: xorg = .5, yorg = -.5 */ info->y = arc->height >> 1; info->dy = arc->height & 1; info->yorg = arc->y + info->y; info->dx = arc->width & 1; info->xorg = arc->x + (arc->width >> 1) + info->dx; info->dx = 1 - info->dx; info->ym = ((double)arc->width) * (arc->width * 8); info->xm = ((double)arc->height) * (arc->height * 8); info->yk = info->y * info->ym; if (!info->dy) info->yk -= info->ym / 2.0; if (!info->dx) { info->xk = 0; info->e = - (info->xm / 8.0); } else { info->y++; info->yk += info->ym; info->xk = -info->xm / 2.0; info->e = info->xk - info->yk; }}static voidmiGetArcEdge(arc, edge, k, top, left) register xArc *arc; register miSliceEdgePtr edge; int k; Bool top, left;{ register int xady, y; y = arc->height >> 1; if (!(arc->width & 1)) y++; if (!top) { y = -y; if (arc->height & 1) y--; } xady = k + y * edge->dx; if (xady <= 0) edge->x = - ((-xady) / edge->dy + 1); else edge->x = (xady - 1) / edge->dy; edge->e = xady - edge->x * edge->dy; if ((top && (edge->dx < 0)) || (!top && (edge->dx > 0))) edge->e = edge->dy - edge->e + 1; if (left) edge->x++; edge->x += arc->x + (arc->width >> 1); if (edge->dx > 0) { edge->deltax = 1; edge->stepx = edge->dx / edge->dy; edge->dx = edge->dx % edge->dy; } else { edge->deltax = -1; edge->stepx = - ((-edge->dx) / edge->dy); edge->dx = (-edge->dx) % edge->dy; } if (!top) { edge->deltax = -edge->deltax; edge->stepx = -edge->stepx; }}voidmiEllipseAngleToSlope (angle, width, height, dxp, dyp, d_dxp, d_dyp) int angle; int width; int height; int *dxp; int *dyp; double *d_dxp; double *d_dyp;{ int dx, dy; double d_dx, d_dy, scale; Bool negative_dx, negative_dy; switch (angle) { case 0: *dxp = -1; *dyp = 0; if (d_dxp) { *d_dxp = width / 2.0; *d_dyp = 0; } break; case QUADRANT: *dxp = 0; *dyp = 1; if (d_dxp) { *d_dxp = 0; *d_dyp = - height / 2.0; } break; case HALFCIRCLE: *dxp = 1; *dyp = 0; if (d_dxp) { *d_dxp = - width / 2.0; *d_dyp = 0; } break; case QUADRANT3: *dxp = 0; *dyp = -1; if (d_dxp) { *d_dxp = 0; *d_dyp = height / 2.0; } break; default: d_dx = Dcos(angle) * width; d_dy = Dsin(angle) * height; if (d_dxp) { *d_dxp = d_dx / 2.0; *d_dyp = - d_dy / 2.0; } negative_dx = FALSE; if (d_dx < 0.0) { d_dx = -d_dx; negative_dx = TRUE; } negative_dy = FALSE; if (d_dy < 0.0) { d_dy = -d_dy; negative_dy = TRUE; } scale = d_dx; if (d_dy > d_dx) scale = d_dy; dx = floor ((d_dx * 32768) / scale + 0.5); if (negative_dx) dx = -dx; *dxp = dx; dy = floor ((d_dy * 32768) / scale + 0.5); if (negative_dy) dy = -dy; *dyp = dy; break; }}static voidmiGetPieEdge(arc, angle, edge, top, left) register xArc *arc; register int angle; register miSliceEdgePtr edge; Bool top, left;{ register int k, signdx, signdy; int dx, dy; miEllipseAngleToSlope (angle, arc->width, arc->height, &dx, &dy, 0, 0); if (dy == 0) { edge->x = left ? -65536 : 65536; edge->stepx = 0; edge->e = 0; edge->dx = -1; return; } if (dx == 0) { edge->x = arc->x + (arc->width >> 1); if (left && (arc->width & 1)) edge->x++; else if (!left && !(arc->width & 1)) edge->x--; edge->stepx = 0; edge->e = 0; edge->dx = -1; return; } if (dy < 0) { dx = -dx; dy = -dy; } k = (arc->height & 1) ? dx : 0; if (arc->width & 1) k += dy; edge->dx = dx << 1; edge->dy = dy << 1; miGetArcEdge(arc, edge, k, top, left);}voidmiFillArcSliceSetup(arc, slice, pGC) register xArc *arc; register miArcSliceRec *slice; GCPtr pGC;{ register int angle1, angle2; angle1 = arc->angle1; if (arc->angle2 < 0) { angle2 = angle1; angle1 += arc->angle2; } else angle2 = angle1 + arc->angle2; while (angle1 < 0) angle1 += FULLCIRCLE; while (angle1 >= FULLCIRCLE) angle1 -= FULLCIRCLE; while (angle2 < 0) angle2 += FULLCIRCLE; while (angle2 >= FULLCIRCLE) angle2 -= FULLCIRCLE; slice->min_top_y = 0; slice->max_top_y = arc->height >> 1; slice->min_bot_y = 1 - (arc->height & 1); slice->max_bot_y = slice->max_top_y - 1; slice->flip_top = FALSE; slice->flip_bot = FALSE; if (pGC->arcMode == ArcPieSlice) { slice->edge1_top = (angle1 < HALFCIRCLE); slice->edge2_top = (angle2 <= HALFCIRCLE); if ((angle2 == 0) || (angle1 == HALFCIRCLE)) { if (angle2 ? slice->edge2_top : slice->edge1_top) slice->min_top_y = slice->min_bot_y; else slice->min_top_y = arc->height; slice->min_bot_y = 0; } else if ((angle1 == 0) || (angle2 == HALFCIRCLE)) { slice->min_top_y = slice->min_bot_y; if (angle1 ? slice->edge1_top : slice->edge2_top) slice->min_bot_y = arc->height; else slice->min_bot_y = 0; } else if (slice->edge1_top == slice->edge2_top) { if (angle2 < angle1) { slice->flip_top = slice->edge1_top; slice->flip_bot = !slice->edge1_top; } else if (slice->edge1_top) { slice->min_top_y = 1; slice->min_bot_y = arc->height; } else { slice->min_bot_y = 0; slice->min_top_y = arc->height; } } miGetPieEdge(arc, angle1, &slice->edge1, slice->edge1_top, !slice->edge1_top); miGetPieEdge(arc, angle2, &slice->edge2, slice->edge2_top, slice->edge2_top); } else { double w2, h2, x1, y1, x2, y2, dx, dy, scale; int signdx, signdy, y, k; Bool isInt1 = TRUE, isInt2 = TRUE; w2 = (double)arc->width / 2.0; h2 = (double)arc->height / 2.0; if ((angle1 == 0) || (angle1 == HALFCIRCLE)) { x1 = angle1 ? -w2 : w2; y1 = 0.0; } else if ((angle1 == QUADRANT) || (angle1 == QUADRANT3)) { x1 = 0.0; y1 = (angle1 == QUADRANT) ? h2 : -h2; } else { isInt1 = FALSE;
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