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Canvas: new x-fade drawing, two curve widget
Conflicts: libs/canvas/wscript
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e528eb1e86
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6 changed files with 593 additions and 208 deletions
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@ -21,27 +21,25 @@
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#include "canvas/visibility.h"
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#include "canvas/interpolated_curve.h"
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#include "canvas/poly_item.h"
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#include "canvas/fill.h"
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namespace ArdourCanvas {
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class LIBCANVAS_API Curve : public PolyItem, public Fill
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class XFadeCurve;
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class LIBCANVAS_API Curve : public PolyItem, public Fill, public InterpolatedCurve
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{
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public:
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Curve (Group *);
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enum SplineType {
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CatmullRomUniform,
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CatmullRomCentripetal,
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};
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enum CurveFill {
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None,
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Inside,
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Outside,
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};
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void compute_bounding_box () const;
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void render (Rect const & area, Cairo::RefPtr<Cairo::Context>) const;
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void set (Points const &);
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@ -55,14 +53,12 @@ public:
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Points samples;
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Points::size_type n_samples;
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uint32_t points_per_segment;
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SplineType curve_type;
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InterpolatedCurve::SplineType curve_type;
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CurveFill curve_fill;
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void interpolate ();
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static void interpolate (const Points& coordinates, uint32_t points_per_segment, SplineType, bool closed, Points& results);
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};
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}
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#endif
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229
libs/canvas/canvas/interpolated_curve.h
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229
libs/canvas/canvas/interpolated_curve.h
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@ -0,0 +1,229 @@
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/*
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Copyright (C) 2013 Paul Davis
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program; if not, write to the Free Software
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Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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*/
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#ifndef __CANVAS_INTERPOLATED_CURVE_H__
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#define __CANVAS_INTERPOLATED_CURVE_H__
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#include "canvas/visibility.h"
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#include "canvas/types.h"
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namespace ArdourCanvas {
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class LIBCANVAS_API InterpolatedCurve
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{
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public:
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enum SplineType {
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CatmullRomUniform,
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CatmullRomCentripetal,
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};
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protected:
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/**
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* This method will calculate the Catmull-Rom interpolation curve, returning
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* it as a list of Coord coordinate objects. This method in particular
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* adds the first and last control points which are not visible, but required
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* for calculating the spline.
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*
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* @param coordinates The list of original straight line points to calculate
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* an interpolation from.
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* @param points_per_segment The integer number of equally spaced points to
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* return along each curve. The actual distance between each
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* point will depend on the spacing between the control points.
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* @return The list of interpolated coordinates.
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* @param curve_type Chordal (stiff), Uniform(floppy), or Centripetal(medium)
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* @throws gov.ca.water.shapelite.analysis.CatmullRomException if
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* points_per_segment is less than 2.
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*/
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static void
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interpolate (const Points& coordinates, uint32_t points_per_segment, SplineType curve_type, bool closed, Points& results)
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{
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if (points_per_segment < 2) {
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return;
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}
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// Cannot interpolate curves given only two points. Two points
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// is best represented as a simple line segment.
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if (coordinates.size() < 3) {
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results = coordinates;
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return;
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}
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// Copy the incoming coordinates. We need to modify it during interpolation
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Points vertices = coordinates;
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// Test whether the shape is open or closed by checking to see if
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// the first point intersects with the last point. M and Z are ignored.
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if (closed) {
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// Use the second and second from last points as control points.
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// get the second point.
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Duple p2 = vertices[1];
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// get the point before the last point
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Duple pn1 = vertices[vertices.size() - 2];
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// insert the second from the last point as the first point in the list
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// because when the shape is closed it keeps wrapping around to
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// the second point.
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vertices.insert(vertices.begin(), pn1);
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// add the second point to the end.
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vertices.push_back(p2);
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} else {
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// The shape is open, so use control points that simply extend
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// the first and last segments
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// Get the change in x and y between the first and second coordinates.
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double dx = vertices[1].x - vertices[0].x;
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double dy = vertices[1].y - vertices[0].y;
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// Then using the change, extrapolate backwards to find a control point.
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double x1 = vertices[0].x - dx;
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double y1 = vertices[0].y - dy;
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// Actaully create the start point from the extrapolated values.
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Duple start (x1, y1);
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// Repeat for the end control point.
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int n = vertices.size() - 1;
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dx = vertices[n].x - vertices[n - 1].x;
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dy = vertices[n].y - vertices[n - 1].y;
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double xn = vertices[n].x + dx;
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double yn = vertices[n].y + dy;
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Duple end (xn, yn);
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// insert the start control point at the start of the vertices list.
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vertices.insert (vertices.begin(), start);
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// append the end control ponit to the end of the vertices list.
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vertices.push_back (end);
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}
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// When looping, remember that each cycle requires 4 points, starting
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// with i and ending with i+3. So we don't loop through all the points.
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for (Points::size_type i = 0; i < vertices.size() - 3; i++) {
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// Actually calculate the Catmull-Rom curve for one segment.
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Points r;
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_interpolate (vertices, i, points_per_segment, curve_type, r);
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// Since the middle points are added twice, once for each bordering
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// segment, we only add the 0 index result point for the first
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// segment. Otherwise we will have duplicate points.
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if (results.size() > 0) {
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r.erase (r.begin());
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}
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// Add the coordinates for the segment to the result list.
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results.insert (results.end(), r.begin(), r.end());
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}
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}
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private:
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/**
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* Calculate the same values but introduces the ability to "parameterize" the t
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* values used in the calculation. This is based on Figure 3 from
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* http://www.cemyuksel.com/research/catmullrom_param/catmullrom.pdf
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*
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* @param p An array of double values of length 4, where interpolation
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* occurs from p1 to p2.
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* @param time An array of time measures of length 4, corresponding to each
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* p value.
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* @param t the actual interpolation ratio from 0 to 1 representing the
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* position between p1 and p2 to interpolate the value.
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*/
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static double
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__interpolate (double p[4], double time[4], double t)
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{
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const double L01 = p[0] * (time[1] - t) / (time[1] - time[0]) + p[1] * (t - time[0]) / (time[1] - time[0]);
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const double L12 = p[1] * (time[2] - t) / (time[2] - time[1]) + p[2] * (t - time[1]) / (time[2] - time[1]);
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const double L23 = p[2] * (time[3] - t) / (time[3] - time[2]) + p[3] * (t - time[2]) / (time[3] - time[2]);
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const double L012 = L01 * (time[2] - t) / (time[2] - time[0]) + L12 * (t - time[0]) / (time[2] - time[0]);
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const double L123 = L12 * (time[3] - t) / (time[3] - time[1]) + L23 * (t - time[1]) / (time[3] - time[1]);
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const double C12 = L012 * (time[2] - t) / (time[2] - time[1]) + L123 * (t - time[1]) / (time[2] - time[1]);
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return C12;
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}
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/**
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* Given a list of control points, this will create a list of points_per_segment
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* points spaced uniformly along the resulting Catmull-Rom curve.
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*
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* @param points The list of control points, leading and ending with a
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* coordinate that is only used for controling the spline and is not visualized.
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* @param index The index of control point p0, where p0, p1, p2, and p3 are
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* used in order to create a curve between p1 and p2.
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* @param points_per_segment The total number of uniformly spaced interpolated
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* points to calculate for each segment. The larger this number, the
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* smoother the resulting curve.
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* @param curve_type Clarifies whether the curve should use uniform, chordal
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* or centripetal curve types. Uniform can produce loops, chordal can
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* produce large distortions from the original lines, and centripetal is an
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* optimal balance without spaces.
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* @return the list of coordinates that define the CatmullRom curve
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* between the points defined by index+1 and index+2.
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*/
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static void
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_interpolate (const Points& points, Points::size_type index, int points_per_segment, SplineType curve_type, Points& results)
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{
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double x[4];
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double y[4];
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double time[4];
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for (int i = 0; i < 4; i++) {
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x[i] = points[index + i].x;
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y[i] = points[index + i].y;
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time[i] = i;
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}
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double tstart = 1;
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double tend = 2;
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if (curve_type != CatmullRomUniform) {
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double total = 0;
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for (int i = 1; i < 4; i++) {
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double dx = x[i] - x[i - 1];
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double dy = y[i] - y[i - 1];
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if (curve_type == CatmullRomCentripetal) {
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total += pow (dx * dx + dy * dy, .25);
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} else {
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total += pow (dx * dx + dy * dy, .5);
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}
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time[i] = total;
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}
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tstart = time[1];
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tend = time[2];
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}
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int segments = points_per_segment - 1;
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results.push_back (points[index + 1]);
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for (int i = 1; i < segments; i++) {
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double xi = __interpolate (x, time, tstart + (i * (tend - tstart)) / segments);
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double yi = __interpolate (y, time, tstart + (i * (tend - tstart)) / segments);
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results.push_back (Duple (xi, yi));
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}
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results.push_back (points[index + 2]);
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}
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};
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}
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#endif
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84
libs/canvas/canvas/xfade_curve.h
Normal file
84
libs/canvas/canvas/xfade_curve.h
Normal file
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@ -0,0 +1,84 @@
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/*
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Copyright (C) 2013 Paul Davis
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Copyright (C) 2014 Robin Gareus <robin@gareus.org>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program; if not, write to the Free Software
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Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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*/
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#ifndef __CANVAS_XFADECURVE_H__
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#define __CANVAS_XFADECURVE_H__
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#include "canvas/visibility.h"
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#include "canvas/curve.h"
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namespace ArdourCanvas {
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class LIBCANVAS_API XFadeCurve : public Item, public InterpolatedCurve
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{
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public:
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enum XFadePosition {
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Start,
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End,
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};
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XFadeCurve (Group *);
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XFadeCurve (Group *, XFadePosition);
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void set_fade_position (XFadePosition xfp) { _xfadeposition = xfp; }
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void compute_bounding_box () const;
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void render (Rect const & area, Cairo::RefPtr<Cairo::Context>) const;
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void set_points_per_segment (uint32_t n);
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void set_inout (Points const & in, Points const & out);
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void set_outline_color (Color c) {
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begin_visual_change ();
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_outline_color = c;
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end_visual_change ();
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};
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void set_fill_color (Color c) {
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begin_visual_change ();
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_fill_color = c;
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end_visual_change ();
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}
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private:
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struct CanvasCurve {
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CanvasCurve() : n_samples(0) { }
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Points points;
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Points samples;
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Points::size_type n_samples;
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};
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Cairo::Path * get_path(Rect const &, Cairo::RefPtr<Cairo::Context>, CanvasCurve const &) const;
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void close_path(Rect const &, Cairo::RefPtr<Cairo::Context>, CanvasCurve const &p, bool) const;
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uint32_t points_per_segment;
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CanvasCurve _in;
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CanvasCurve _out;
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XFadePosition _xfadeposition;
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Color _outline_color;
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Color _fill_color;
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void interpolate ();
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};
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}
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#endif
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