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-/*
- * curves.h -- Ellipses, arcs, splines, coordinate grids
- *
- * This file is part of ePiX, a C++ library for creating high-quality
- * figures in LaTeX
- *
- * Version 1.1.10
- * Last Change: August 08, 2007
- */
-
-/*
- * Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006, 2007
- * Andrew D. Hwang <rot 13 nujnat at zngupf dot ubylpebff dot rqh>
- * Department of Mathematics and Computer Science
- * College of the Holy Cross
- * Worcester, MA, 01610-2395, USA
- */
-
-/*
- * ePiX 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 of the License, or
- * (at your option) any later version.
- *
- * ePiX 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 ePiX; if not, write to the Free Software Foundation, Inc.,
- * 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
- */
-
-#ifndef EPIX_CURVES
-#define EPIX_CURVES
-
-#include <vector>
-
-#include "constants.h"
-
-namespace ePiX {
-
- class P;
- class mesh;
-
- // lines can be "stretched" by double parameter
- void line(const P& tail, const P& head, double expand=0);
- void line(const P& tail, const P& head, double expand,
- unsigned int num_pts);
-
- // "Visible" portion of the line through p1, p2
- void Line(const P& tail, const P& head);
-
- // point-slope form
- void Line(const P&, double);
-
- void triangle(const P&, const P&, const P&);
- void quad(const P&, const P&, const P&, const P&);
-
- void rect(const P&, const P&);
- void rect(const P&, const P&, bool solid);
-
- // arrows
- void arrow(const P& tail, const P& head, double scale=1);
- void dart(const P& tail, const P& head);
-
- // double-tipped
- void aarrow(const P& tail, const P& head, double scale=1);
-
- // arbitrary elliptical arc
- void arrow(const P& center, const P& axis1, const P& axis2,
- double t_min, double t_max, double scale=1);
-
- // Algebraic curves (elliptical and circular arcs, splines)
- void ellipse(const P& center, const P& axis1, const P& axis2); // full turn
-
- void ellipse(const P& center, const P& axis1, const P& axis2,
- double t_min, double t_max); // angle range
-
- void ellipse(const P& center, const P& axis1, const P& axis2,
- double t_min, double t_max, unsigned int num_pts);
-
- // for backward compatibility
- void ellipse_arc(const P& center, const P& axis1, const P& axis2,
- double t_min, double t_max);
-
- // old style "center and polyradius"
- void ellipse (const P& center, const P& radius);
-
- // Standard half-ellipse functions
- void ellipse_left (const P&, const P&);
- void ellipse_right (const P&, const P&);
- void ellipse_top (const P&, const P&);
- void ellipse_bottom (const P&, const P&);
-
- // Circular arcs parallel to (x,y)-plane
- void arc(const P& center, double r,
- double start, double finish);
-
- void arc_arrow (const P& center, double r,
- double start, double finish,
- double scale=1);
-
-
- // Quadratic and cubic splines/spline arrows
- void spline(const P& p1, const P& p2, const P& p3, unsigned int num_pts);
- void spline(const P& p1, const P& p2, const P& p3);
-
- void arrow(const P& p1, const P& p2, const P& p3, double scale=1);
-
- void spline (const P& p1, const P& p2, const P& p3, const P& p4,
- unsigned int num_pts);
- void spline (const P& p1, const P& p2, const P& p3, const P& p4);
-
- void arrow(const P&, const P&, const P&, const P&, double scale=1);
-
- // natural spline
- void spline(const std::vector<P>&, unsigned int num_pts);
-
-
- // A "mesh" is an ordered pair of positive integers, and is used to
- // specify the "fineness" of a grid. Grids, like parametric surface
- // meshes, have a "coarse mesh" -- the numbers of grid intervals in
- // each direction, and a "fine mesh" -- the numbers of points used
- // to render the grid lines. Since an ePiX camera does not always
- // map lines in object space to lines on the screen, grid lines cannot
- // generally be drawn using only two points.
- // A grid may look strange unless each component of fine is a multiple
- // of the corresponding entry of coarse, of course. :)
-
- // Cartesian grid of specified size, mesh, and resolution
- void grid(const P& arg1, const P& arg2, mesh coarse, mesh fine);
-
- // coarse = fine = (n1,n2)
- void grid(const P& arg1, const P& arg2,
- unsigned int n1=1, unsigned int n2=1);
- void grid(unsigned int n1=1, unsigned int n2=1);
-
- // polar grid of specified radius, mesh (rings and sectors), and resolution
- void polar_grid(double r, mesh coarse, mesh fine);
-
- // polar grid with n1 rings and n2 sectors
- void polar_grid(double r, unsigned int n1, unsigned int n2);
-
-
- // (semi-)logarithmic grids specified by corners and numbers of orders of
- // magnitude or grid divisions in each direction. Optional arguments
- // specify the log base (10 by default). If corners are omitted, the grid
- // fills the bounding box.
- void log_grid(const P& arg1, const P& arg2,
- unsigned int segs1, unsigned int segs2,
- unsigned int base1=10, unsigned int base2=10);
-
- void log1_grid(const P& arg1, const P& arg2,
- unsigned int segs1, unsigned int segs2,
- unsigned int base1=10);
-
- void log2_grid(const P& arg1, const P& arg2,
- unsigned int segs1, unsigned int segs2,
- unsigned int base2=10);
-
- void log_grid(unsigned int segs1, unsigned int segs2,
- unsigned int base1=10, unsigned int base2=10);
-
- void log1_grid(unsigned int segs1, unsigned int segs2,
- unsigned int base1=10);
-
- void log2_grid(unsigned int segs1, unsigned int segs2,
- unsigned int base2=10);
-
- // fractal generation
- //
- // The basic "level-1" recursion unit is a piecewise-linear path whose
- // segments are parallel to spokes on a wheel, labelled modulo <spokes>.
- // Recursively up to <depth>, each segment is replaced by a copy of the
- // recursion unit.
- //
- // Sample data for _/\_ standard Koch snowflake:
- // const int pre_seed[] = {6, 4, 0, 1, -1, 0};
- // pre_seed[0] = spokes, pre_seed[1] = seed_length;
-
- void fractal (const P& p, const P& q, const int depth, const int *pre_seed);
-
-} // end of namespace
-
-#endif /* EPIX_CURVES */