/contrib/groff/src/preproc/pic/common.cpp
https://bitbucket.org/freebsd/freebsd-head/ · C++ · 647 lines · 544 code · 44 blank · 59 comment · 78 complexity · 1bcaffaab9474619671ac1bc10349f3b MD5 · raw file
- // -*- C++ -*-
- /* Copyright (C) 1989, 1990, 1991, 1992, 2003 Free Software Foundation, Inc.
- Written by James Clark (jjc@jclark.com)
- This file is part of groff.
- groff is free software; you can redistribute it and/or modify it under
- the terms of the GNU General Public License as published by the Free
- Software Foundation; either version 2, or (at your option) any later
- version.
- groff is distributed in the hope that it will be useful, but WITHOUT ANY
- WARRANTY; without even the implied warranty of MERCHANTABILITY or
- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
- for more details.
- You should have received a copy of the GNU General Public License along
- with groff; see the file COPYING. If not, write to the Free Software
- Foundation, 51 Franklin St - Fifth Floor, Boston, MA 02110-1301, USA. */
- #include "pic.h"
- #include "common.h"
- // output a dashed circle as a series of arcs
- void common_output::dashed_circle(const position ¢, double rad,
- const line_type <)
- {
- assert(lt.type == line_type::dashed);
- line_type slt = lt;
- slt.type = line_type::solid;
- double dash_angle = lt.dash_width/rad;
- int ndashes;
- double gap_angle;
- if (dash_angle >= M_PI/4.0) {
- if (dash_angle < M_PI/2.0) {
- gap_angle = M_PI/2.0 - dash_angle;
- ndashes = 4;
- }
- else if (dash_angle < M_PI) {
- gap_angle = M_PI - dash_angle;
- ndashes = 2;
- }
- else {
- circle(cent, rad, slt, -1.0);
- return;
- }
- }
- else {
- ndashes = 4*int(ceil(M_PI/(4.0*dash_angle)));
- gap_angle = (M_PI*2.0)/ndashes - dash_angle;
- }
- for (int i = 0; i < ndashes; i++) {
- double start_angle = i*(dash_angle+gap_angle) - dash_angle/2.0;
- solid_arc(cent, rad, start_angle, start_angle + dash_angle, lt);
- }
- }
- // output a dotted circle as a series of dots
- void common_output::dotted_circle(const position ¢, double rad,
- const line_type <)
- {
- assert(lt.type == line_type::dotted);
- double gap_angle = lt.dash_width/rad;
- int ndots;
- if (gap_angle >= M_PI/2.0) {
- // always have at least 2 dots
- gap_angle = M_PI;
- ndots = 2;
- }
- else {
- ndots = 4*int(M_PI/(2.0*gap_angle));
- gap_angle = (M_PI*2.0)/ndots;
- }
- double ang = 0.0;
- for (int i = 0; i < ndots; i++, ang += gap_angle)
- dot(cent + position(cos(ang), sin(ang))*rad, lt);
- }
- // recursive function for dash drawing, used by dashed_ellipse
- void common_output::ellipse_arc(const position ¢,
- const position &z0, const position &z1,
- const distance &dim, const line_type <)
- {
- assert(lt.type == line_type::solid);
- assert(dim.x != 0 && dim.y != 0);
- double eps = 0.0001;
- position zml = (z0 + z1) / 2;
- // apply affine transformation (from ellipse to circle) to compute angle
- // of new position, then invert transformation to get exact position
- double psi = atan2(zml.y / dim.y, zml.x / dim.x);
- position zm = position(dim.x * cos(psi), dim.y * sin(psi));
- // to approximate the ellipse arc with one or more circle arcs, we
- // first compute the radius of curvature in zm
- double a_2 = dim.x * dim.x;
- double a_4 = a_2 * a_2;
- double b_2 = dim.y * dim.y;
- double b_4 = b_2 * b_2;
- double e_2 = a_2 - b_2;
- double temp = a_4 * zm.y * zm.y + b_4 * zm.x * zm.x;
- double rho = sqrt(temp / a_4 / b_4 * temp / a_4 / b_4 * temp);
- // compute center of curvature circle
- position M = position(e_2 * zm.x / a_2 * zm.x / a_2 * zm.x,
- -e_2 * zm.y / b_2 * zm.y / b_2 * zm.y);
- // compute distance between circle and ellipse arc at start and end
- double phi0 = atan2(z0.y - M.y, z0.x - M.x);
- double phi1 = atan2(z1.y - M.y, z1.x - M.x);
- position M0 = position(rho * cos(phi0), rho * sin(phi0)) + M;
- position M1 = position(rho * cos(phi1), rho * sin(phi1)) + M;
- double dist0 = hypot(z0 - M0) / sqrt(z0 * z0);
- double dist1 = hypot(z1 - M1) / sqrt(z1 * z1);
- if (dist0 < eps && dist1 < eps)
- solid_arc(M + cent, rho, phi0, phi1, lt);
- else {
- ellipse_arc(cent, z0, zm, dim, lt);
- ellipse_arc(cent, zm, z1, dim, lt);
- }
- }
- // output a dashed ellipse as a series of arcs
- void common_output::dashed_ellipse(const position ¢, const distance &dim,
- const line_type <)
- {
- assert(lt.type == line_type::dashed);
- double dim_x = dim.x / 2;
- double dim_y = dim.y / 2;
- line_type slt = lt;
- slt.type = line_type::solid;
- double dw = lt.dash_width;
- // we use an approximation to compute the ellipse length (found in:
- // Bronstein, Semendjajew, Taschenbuch der Mathematik)
- double lambda = (dim.x - dim.y) / (dim.x + dim.y);
- double le = M_PI / 2 * (dim.x + dim.y)
- * ((64 - 3 * lambda * lambda * lambda * lambda )
- / (64 - 16 * lambda * lambda));
- // for symmetry we make nmax a multiple of 8
- int nmax = 8 * int(le / dw / 8 + 0.5);
- if (nmax < 8) {
- nmax = 8;
- dw = le / 8;
- }
- int ndash = nmax / 2;
- double gapwidth = (le - dw * ndash) / ndash;
- double l = 0;
- position z = position(dim_x, 0);
- position zdot = z;
- int j = 0;
- int jmax = int(10 / lt.dash_width);
- for (int i = 0; i <= nmax; i++) {
- position zold = z;
- position zpre = zdot;
- double ld = (int(i / 2) + 0.5) * dw + int((i + 1) / 2) * gapwidth;
- double lold = 0;
- double dl = 1;
- // find next position for fixed arc length
- while (l < ld) {
- j++;
- lold = l;
- zold = z;
- double phi = j * 2 * M_PI / jmax;
- z = position(dim_x * cos(phi), dim_y * sin(phi));
- dl = hypot(z - zold);
- l += dl;
- }
- // interpolate linearly between the last two points,
- // using the length difference as the scaling factor
- double delta = (ld - lold) / dl;
- zdot = zold + (z - zold) * delta;
- // compute angle of new position on the affine circle
- // and use it to get the exact value on the ellipse
- double psi = atan2(zdot.y / dim_y, zdot.x / dim_x);
- zdot = position(dim_x * cos(psi), dim_y * sin(psi));
- if ((i % 2 == 0) && (i > 1))
- ellipse_arc(cent, zpre, zdot, dim / 2, slt);
- }
- }
- // output a dotted ellipse as a series of dots
- void common_output::dotted_ellipse(const position ¢, const distance &dim,
- const line_type <)
- {
- assert(lt.type == line_type::dotted);
- double dim_x = dim.x / 2;
- double dim_y = dim.y / 2;
- line_type slt = lt;
- slt.type = line_type::solid;
- // we use an approximation to compute the ellipse length (found in:
- // Bronstein, Semendjajew, Taschenbuch der Mathematik)
- double lambda = (dim.x - dim.y) / (dim.x + dim.y);
- double le = M_PI / 2 * (dim.x + dim.y)
- * ((64 - 3 * lambda * lambda * lambda * lambda )
- / (64 - 16 * lambda * lambda));
- // for symmetry we make nmax a multiple of 4
- int ndots = 4 * int(le / lt.dash_width / 4 + 0.5);
- if (ndots < 4)
- ndots = 4;
- double l = 0;
- position z = position(dim_x, 0);
- int j = 0;
- int jmax = int(10 / lt.dash_width);
- for (int i = 1; i <= ndots; i++) {
- position zold = z;
- double lold = l;
- double ld = i * le / ndots;
- double dl = 1;
- // find next position for fixed arc length
- while (l < ld) {
- j++;
- lold = l;
- zold = z;
- double phi = j * 2 * M_PI / jmax;
- z = position(dim_x * cos(phi), dim_y * sin(phi));
- dl = hypot(z - zold);
- l += dl;
- }
- // interpolate linearly between the last two points,
- // using the length difference as the scaling factor
- double delta = (ld - lold) / dl;
- position zdot = zold + (z - zold) * delta;
- // compute angle of new position on the affine circle
- // and use it to get the exact value on the ellipse
- double psi = atan2(zdot.y / dim_y, zdot.x / dim_x);
- zdot = position(dim_x * cos(psi), dim_y * sin(psi));
- dot(cent + zdot, slt);
- }
- }
- // return non-zero iff we can compute a center
- int compute_arc_center(const position &start, const position ¢,
- const position &end, position *result)
- {
- // This finds the point along the vector from start to cent that
- // is equidistant between start and end.
- distance c = cent - start;
- distance e = end - start;
- double n = c*e;
- if (n == 0.0)
- return 0;
- *result = start + c*((e*e)/(2.0*n));
- return 1;
- }
- // output a dashed arc as a series of arcs
- void common_output::dashed_arc(const position &start, const position ¢,
- const position &end, const line_type <)
- {
- assert(lt.type == line_type::dashed);
- position c;
- if (!compute_arc_center(start, cent, end, &c)) {
- line(start, &end, 1, lt);
- return;
- }
- distance start_offset = start - c;
- distance end_offset = end - c;
- double start_angle = atan2(start_offset.y, start_offset.x);
- double end_angle = atan2(end_offset.y, end_offset.x);
- double rad = hypot(c - start);
- double dash_angle = lt.dash_width/rad;
- double total_angle = end_angle - start_angle;
- while (total_angle < 0)
- total_angle += M_PI + M_PI;
- if (total_angle <= dash_angle*2.0) {
- solid_arc(cent, rad, start_angle, end_angle, lt);
- return;
- }
- int ndashes = int((total_angle - dash_angle)/(dash_angle*2.0) + .5);
- double dash_and_gap_angle = (total_angle - dash_angle)/ndashes;
- for (int i = 0; i <= ndashes; i++)
- solid_arc(cent, rad, start_angle + i*dash_and_gap_angle,
- start_angle + i*dash_and_gap_angle + dash_angle, lt);
- }
- // output a dotted arc as a series of dots
- void common_output::dotted_arc(const position &start, const position ¢,
- const position &end, const line_type <)
- {
- assert(lt.type == line_type::dotted);
- position c;
- if (!compute_arc_center(start, cent, end, &c)) {
- line(start, &end, 1, lt);
- return;
- }
- distance start_offset = start - c;
- distance end_offset = end - c;
- double start_angle = atan2(start_offset.y, start_offset.x);
- double total_angle = atan2(end_offset.y, end_offset.x) - start_angle;
- while (total_angle < 0)
- total_angle += M_PI + M_PI;
- double rad = hypot(c - start);
- int ndots = int(total_angle/(lt.dash_width/rad) + .5);
- if (ndots == 0)
- dot(start, lt);
- else {
- for (int i = 0; i <= ndots; i++) {
- double a = start_angle + (total_angle*i)/ndots;
- dot(cent + position(cos(a), sin(a))*rad, lt);
- }
- }
- }
- void common_output::solid_arc(const position ¢, double rad,
- double start_angle, double end_angle,
- const line_type <)
- {
- line_type slt = lt;
- slt.type = line_type::solid;
- arc(cent + position(cos(start_angle), sin(start_angle))*rad,
- cent,
- cent + position(cos(end_angle), sin(end_angle))*rad,
- slt);
- }
- void common_output::rounded_box(const position ¢, const distance &dim,
- double rad, const line_type <, double fill)
- {
- if (fill >= 0.0)
- filled_rounded_box(cent, dim, rad, fill);
- switch (lt.type) {
- case line_type::invisible:
- break;
- case line_type::dashed:
- dashed_rounded_box(cent, dim, rad, lt);
- break;
- case line_type::dotted:
- dotted_rounded_box(cent, dim, rad, lt);
- break;
- case line_type::solid:
- solid_rounded_box(cent, dim, rad, lt);
- break;
- default:
- assert(0);
- }
- }
- void common_output::dashed_rounded_box(const position ¢,
- const distance &dim, double rad,
- const line_type <)
- {
- line_type slt = lt;
- slt.type = line_type::solid;
- double hor_length = dim.x + (M_PI/2.0 - 2.0)*rad;
- int n_hor_dashes = int(hor_length/(lt.dash_width*2.0) + .5);
- double hor_gap_width = (n_hor_dashes != 0
- ? hor_length/n_hor_dashes - lt.dash_width
- : 0.0);
- double vert_length = dim.y + (M_PI/2.0 - 2.0)*rad;
- int n_vert_dashes = int(vert_length/(lt.dash_width*2.0) + .5);
- double vert_gap_width = (n_vert_dashes != 0
- ? vert_length/n_vert_dashes - lt.dash_width
- : 0.0);
- // Note that each corner arc has to be split into two for dashing,
- // because one part is dashed using vert_gap_width, and the other
- // using hor_gap_width.
- double offset = lt.dash_width/2.0;
- dash_arc(cent + position(dim.x/2.0 - rad, -dim.y/2.0 + rad), rad,
- -M_PI/4.0, 0, slt, lt.dash_width, vert_gap_width, &offset);
- dash_line(cent + position(dim.x/2.0, -dim.y/2.0 + rad),
- cent + position(dim.x/2.0, dim.y/2.0 - rad),
- slt, lt.dash_width, vert_gap_width, &offset);
- dash_arc(cent + position(dim.x/2.0 - rad, dim.y/2.0 - rad), rad,
- 0, M_PI/4.0, slt, lt.dash_width, vert_gap_width, &offset);
- offset = lt.dash_width/2.0;
- dash_arc(cent + position(dim.x/2.0 - rad, dim.y/2.0 - rad), rad,
- M_PI/4.0, M_PI/2, slt, lt.dash_width, hor_gap_width, &offset);
- dash_line(cent + position(dim.x/2.0 - rad, dim.y/2.0),
- cent + position(-dim.x/2.0 + rad, dim.y/2.0),
- slt, lt.dash_width, hor_gap_width, &offset);
- dash_arc(cent + position(-dim.x/2.0 + rad, dim.y/2.0 - rad), rad,
- M_PI/2, 3*M_PI/4.0, slt, lt.dash_width, hor_gap_width, &offset);
- offset = lt.dash_width/2.0;
- dash_arc(cent + position(-dim.x/2.0 + rad, dim.y/2.0 - rad), rad,
- 3.0*M_PI/4.0, M_PI, slt, lt.dash_width, vert_gap_width, &offset);
- dash_line(cent + position(-dim.x/2.0, dim.y/2.0 - rad),
- cent + position(-dim.x/2.0, -dim.y/2.0 + rad),
- slt, lt.dash_width, vert_gap_width, &offset);
- dash_arc(cent + position(-dim.x/2.0 + rad, -dim.y/2.0 + rad), rad,
- M_PI, 5.0*M_PI/4.0, slt, lt.dash_width, vert_gap_width, &offset);
- offset = lt.dash_width/2.0;
- dash_arc(cent + position(-dim.x/2.0 + rad, -dim.y/2.0 + rad), rad,
- 5*M_PI/4.0, 3*M_PI/2.0, slt, lt.dash_width, hor_gap_width, &offset);
- dash_line(cent + position(-dim.x/2.0 + rad, -dim.y/2.0),
- cent + position(dim.x/2.0 - rad, -dim.y/2.0),
- slt, lt.dash_width, hor_gap_width, &offset);
- dash_arc(cent + position(dim.x/2.0 - rad, -dim.y/2.0 + rad), rad,
- 3*M_PI/2, 7*M_PI/4, slt, lt.dash_width, hor_gap_width, &offset);
- }
- // Used by dashed_rounded_box.
- void common_output::dash_arc(const position ¢, double rad,
- double start_angle, double end_angle,
- const line_type <,
- double dash_width, double gap_width,
- double *offsetp)
- {
- double length = (end_angle - start_angle)*rad;
- double pos = 0.0;
- for (;;) {
- if (*offsetp >= dash_width) {
- double rem = dash_width + gap_width - *offsetp;
- if (pos + rem > length) {
- *offsetp += length - pos;
- break;
- }
- else {
- pos += rem;
- *offsetp = 0.0;
- }
- }
- else {
- double rem = dash_width - *offsetp;
- if (pos + rem > length) {
- solid_arc(cent, rad, start_angle + pos/rad, end_angle, lt);
- *offsetp += length - pos;
- break;
- }
- else {
- solid_arc(cent, rad, start_angle + pos/rad,
- start_angle + (pos + rem)/rad, lt);
- pos += rem;
- *offsetp = dash_width;
- }
- }
- }
- }
- // Used by dashed_rounded_box.
- void common_output::dash_line(const position &start, const position &end,
- const line_type <,
- double dash_width, double gap_width,
- double *offsetp)
- {
- distance dist = end - start;
- double length = hypot(dist);
- if (length == 0.0)
- return;
- double pos = 0.0;
- for (;;) {
- if (*offsetp >= dash_width) {
- double rem = dash_width + gap_width - *offsetp;
- if (pos + rem > length) {
- *offsetp += length - pos;
- break;
- }
- else {
- pos += rem;
- *offsetp = 0.0;
- }
- }
- else {
- double rem = dash_width - *offsetp;
- if (pos + rem > length) {
- line(start + dist*(pos/length), &end, 1, lt);
- *offsetp += length - pos;
- break;
- }
- else {
- position p(start + dist*((pos + rem)/length));
- line(start + dist*(pos/length), &p, 1, lt);
- pos += rem;
- *offsetp = dash_width;
- }
- }
- }
- }
- void common_output::dotted_rounded_box(const position ¢,
- const distance &dim, double rad,
- const line_type <)
- {
- line_type slt = lt;
- slt.type = line_type::solid;
- double hor_length = dim.x + (M_PI/2.0 - 2.0)*rad;
- int n_hor_dots = int(hor_length/lt.dash_width + .5);
- double hor_gap_width = (n_hor_dots != 0
- ? hor_length/n_hor_dots
- : lt.dash_width);
- double vert_length = dim.y + (M_PI/2.0 - 2.0)*rad;
- int n_vert_dots = int(vert_length/lt.dash_width + .5);
- double vert_gap_width = (n_vert_dots != 0
- ? vert_length/n_vert_dots
- : lt.dash_width);
- double epsilon = lt.dash_width/(rad*100.0);
- double offset = 0.0;
- dot_arc(cent + position(dim.x/2.0 - rad, -dim.y/2.0 + rad), rad,
- -M_PI/4.0, 0, slt, vert_gap_width, &offset);
- dot_line(cent + position(dim.x/2.0, -dim.y/2.0 + rad),
- cent + position(dim.x/2.0, dim.y/2.0 - rad),
- slt, vert_gap_width, &offset);
- dot_arc(cent + position(dim.x/2.0 - rad, dim.y/2.0 - rad), rad,
- 0, M_PI/4.0 - epsilon, slt, vert_gap_width, &offset);
- offset = 0.0;
- dot_arc(cent + position(dim.x/2.0 - rad, dim.y/2.0 - rad), rad,
- M_PI/4.0, M_PI/2, slt, hor_gap_width, &offset);
- dot_line(cent + position(dim.x/2.0 - rad, dim.y/2.0),
- cent + position(-dim.x/2.0 + rad, dim.y/2.0),
- slt, hor_gap_width, &offset);
- dot_arc(cent + position(-dim.x/2.0 + rad, dim.y/2.0 - rad), rad,
- M_PI/2, 3*M_PI/4.0 - epsilon, slt, hor_gap_width, &offset);
- offset = 0.0;
- dot_arc(cent + position(-dim.x/2.0 + rad, dim.y/2.0 - rad), rad,
- 3.0*M_PI/4.0, M_PI, slt, vert_gap_width, &offset);
- dot_line(cent + position(-dim.x/2.0, dim.y/2.0 - rad),
- cent + position(-dim.x/2.0, -dim.y/2.0 + rad),
- slt, vert_gap_width, &offset);
- dot_arc(cent + position(-dim.x/2.0 + rad, -dim.y/2.0 + rad), rad,
- M_PI, 5.0*M_PI/4.0 - epsilon, slt, vert_gap_width, &offset);
- offset = 0.0;
- dot_arc(cent + position(-dim.x/2.0 + rad, -dim.y/2.0 + rad), rad,
- 5*M_PI/4.0, 3*M_PI/2.0, slt, hor_gap_width, &offset);
- dot_line(cent + position(-dim.x/2.0 + rad, -dim.y/2.0),
- cent + position(dim.x/2.0 - rad, -dim.y/2.0),
- slt, hor_gap_width, &offset);
- dot_arc(cent + position(dim.x/2.0 - rad, -dim.y/2.0 + rad), rad,
- 3*M_PI/2, 7*M_PI/4 - epsilon, slt, hor_gap_width, &offset);
- }
- // Used by dotted_rounded_box.
- void common_output::dot_arc(const position ¢, double rad,
- double start_angle, double end_angle,
- const line_type <, double gap_width,
- double *offsetp)
- {
- double length = (end_angle - start_angle)*rad;
- double pos = 0.0;
- for (;;) {
- if (*offsetp == 0.0) {
- double ang = start_angle + pos/rad;
- dot(cent + position(cos(ang), sin(ang))*rad, lt);
- }
- double rem = gap_width - *offsetp;
- if (pos + rem > length) {
- *offsetp += length - pos;
- break;
- }
- else {
- pos += rem;
- *offsetp = 0.0;
- }
- }
- }
- // Used by dotted_rounded_box.
- void common_output::dot_line(const position &start, const position &end,
- const line_type <, double gap_width,
- double *offsetp)
- {
- distance dist = end - start;
- double length = hypot(dist);
- if (length == 0.0)
- return;
- double pos = 0.0;
- for (;;) {
- if (*offsetp == 0.0)
- dot(start + dist*(pos/length), lt);
- double rem = gap_width - *offsetp;
- if (pos + rem > length) {
- *offsetp += length - pos;
- break;
- }
- else {
- pos += rem;
- *offsetp = 0.0;
- }
- }
- }
- void common_output::solid_rounded_box(const position ¢,
- const distance &dim, double rad,
- const line_type <)
- {
- position tem = cent - dim/2.0;
- arc(tem + position(0.0, rad),
- tem + position(rad, rad),
- tem + position(rad, 0.0),
- lt);
- tem = cent + position(-dim.x/2.0, dim.y/2.0);
- arc(tem + position(rad, 0.0),
- tem + position(rad, -rad),
- tem + position(0.0, -rad),
- lt);
- tem = cent + dim/2.0;
- arc(tem + position(0.0, -rad),
- tem + position(-rad, -rad),
- tem + position(-rad, 0.0),
- lt);
- tem = cent + position(dim.x/2.0, -dim.y/2.0);
- arc(tem + position(-rad, 0.0),
- tem + position(-rad, rad),
- tem + position(0.0, rad),
- lt);
- position end;
- end = cent + position(-dim.x/2.0, dim.y/2.0 - rad);
- line(cent - dim/2.0 + position(0.0, rad), &end, 1, lt);
- end = cent + position(dim.x/2.0 - rad, dim.y/2.0);
- line(cent + position(-dim.x/2.0 + rad, dim.y/2.0), &end, 1, lt);
- end = cent + position(dim.x/2.0, -dim.y/2.0 + rad);
- line(cent + position(dim.x/2.0, dim.y/2.0 - rad), &end, 1, lt);
- end = cent + position(-dim.x/2.0 + rad, -dim.y/2.0);
- line(cent + position(dim.x/2.0 - rad, -dim.y/2.0), &end, 1, lt);
- }
- void common_output::filled_rounded_box(const position ¢,
- const distance &dim, double rad,
- double fill)
- {
- line_type ilt;
- ilt.type = line_type::invisible;
- circle(cent + position(dim.x/2.0 - rad, dim.y/2.0 - rad), rad, ilt, fill);
- circle(cent + position(-dim.x/2.0 + rad, dim.y/2.0 - rad), rad, ilt, fill);
- circle(cent + position(-dim.x/2.0 + rad, -dim.y/2.0 + rad), rad, ilt, fill);
- circle(cent + position(dim.x/2.0 - rad, -dim.y/2.0 + rad), rad, ilt, fill);
- position vec[4];
- vec[0] = cent + position(dim.x/2.0, dim.y/2.0 - rad);
- vec[1] = cent + position(-dim.x/2.0, dim.y/2.0 - rad);
- vec[2] = cent + position(-dim.x/2.0, -dim.y/2.0 + rad);
- vec[3] = cent + position(dim.x/2.0, -dim.y/2.0 + rad);
- polygon(vec, 4, ilt, fill);
- vec[0] = cent + position(dim.x/2.0 - rad, dim.y/2.0);
- vec[1] = cent + position(-dim.x/2.0 + rad, dim.y/2.0);
- vec[2] = cent + position(-dim.x/2.0 + rad, -dim.y/2.0);
- vec[3] = cent + position(dim.x/2.0 - rad, -dim.y/2.0);
- polygon(vec, 4, ilt, fill);
- }