f09e17c3c5
- remove obsolete svn '$Id$' tags from all source files - update .fl files and generated files accordingly - replace 'http://www.fltk.org' URL's with 'https://...' - replace bug report URL 'str.php' with 'bugs.php' - remove trailing whitespace - fix other whitespace errors flagged by Git - add and/or fix missing or wrong standard headers - convert tabs to spaces in all source files The only relevant code changes are in the fluid/ folder where some .fl files and other source files were used to generate the '$Id' headers and footers.
91 lines
2.6 KiB
C++
91 lines
2.6 KiB
C++
//
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// Arc functions for the Fast Light Tool Kit (FLTK).
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//
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// Copyright 1998-2016 by Bill Spitzak and others.
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//
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// This library is free software. Distribution and use rights are outlined in
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// the file "COPYING" which should have been included with this file. If this
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// file is missing or damaged, see the license at:
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//
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// https://www.fltk.org/COPYING.php
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//
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// Please see the following page on how to report bugs and issues:
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//
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// https://www.fltk.org/bugs.php
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//
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/**
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\file fl_arc.cxx
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\brief Utility functions for drawing arcs and circles.
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*/
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// Utility for drawing arcs and circles. They are added to
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// the current fl_begin/fl_vertex/fl_end path.
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// Incremental math implementation:
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#include <FL/fl_draw.H>
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#include <FL/math.h>
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// avoid problems with some platforms that don't
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// implement hypot.
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static double _fl_hypot(double x, double y) {
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return sqrt(x*x + y*y);
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}
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/**
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\cond DriverDev
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\addtogroup DriverDeveloper
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\{
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*/
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/**
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Draw an arc.
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The default implementation draws an arc using other calls into the graphics
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driver. There is no need to override the method unless the target platform
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supports drawing arcs directly.
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\see fl_arc(double x, double y, double r, double start, double end)
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*/
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void Fl_Graphics_Driver::arc(double x, double y, double r, double start, double end) {
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// draw start point accurately:
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double A = start*(M_PI/180); // Initial angle (radians)
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double X = r*cos(A); // Initial displacement, (X,Y)
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double Y = -r*sin(A); // from center to initial point
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fl_vertex(x+X,y+Y); // Insert initial point
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// Maximum arc length to approximate with chord with error <= 0.125
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double epsilon; {
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double r1 = _fl_hypot(fl_transform_dx(r,0), // Horizontal "radius"
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fl_transform_dy(r,0));
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double r2 = _fl_hypot(fl_transform_dx(0,r), // Vertical "radius"
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fl_transform_dy(0,r));
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if (r1 > r2) r1 = r2; // r1 = minimum "radius"
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if (r1 < 2.) r1 = 2.; // radius for circa 9 chords/circle
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epsilon = 2*acos(1.0 - 0.125/r1); // Maximum arc angle
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}
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A = end*(M_PI/180) - A; // Displacement angle (radians)
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int i = int(ceil(fabs(A)/epsilon)); // Segments in approximation
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if (i) {
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epsilon = A/i; // Arc length for equal-size steps
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double cos_e = cos(epsilon); // Rotation coefficients
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double sin_e = sin(epsilon);
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do {
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double Xnew = cos_e*X + sin_e*Y;
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Y = -sin_e*X + cos_e*Y;
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fl_vertex(x + (X=Xnew), y + Y);
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} while (--i);
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}
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}
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/**
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\}
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\endcond
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*/
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