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authorTobias Weimer <wishmaster51@googlemail.com>2015-07-12 14:10:16 +0000
committerTobias Weimer <wishmaster51@googlemail.com>2015-07-12 14:10:16 +0000
commitf4ce2b5c214cce406dbd7a73dc7f35ae409546ad (patch)
tree533cc821ffc9c5664c075930be6a40fde9593aba /plugins/Clist_ng/AGG/src/agg_bspline.cpp
parent71a88c6d8c4578ca24e02a5c6f4860c206e7c6da (diff)
Clist NG:
Commit of CList NG by silvercircle from https://github.com/silvercircle/miranda-ng This is based on clist_nicer and Anti-Grain Geometry: http://www.antigrain.com/ This is the first version that actually compiles. Do NOT use it in production environment! git-svn-id: http://svn.miranda-ng.org/main/trunk@14543 1316c22d-e87f-b044-9b9b-93d7a3e3ba9c
Diffstat (limited to 'plugins/Clist_ng/AGG/src/agg_bspline.cpp')
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diff --git a/plugins/Clist_ng/AGG/src/agg_bspline.cpp b/plugins/Clist_ng/AGG/src/agg_bspline.cpp
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+//----------------------------------------------------------------------------
+// Anti-Grain Geometry (AGG) - Version 2.5
+// A high quality rendering engine for C++
+// Copyright (C) 2002-2006 Maxim Shemanarev
+// Contact: mcseem@antigrain.com
+// mcseemagg@yahoo.com
+// http://antigrain.com
+//
+// AGG 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.
+//
+// AGG 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 AGG; if not, write to the Free Software
+// Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
+// MA 02110-1301, USA.
+//----------------------------------------------------------------------------
+
+#include "agg_bspline.h"
+
+namespace agg
+{
+ //------------------------------------------------------------------------
+ bspline::bspline() :
+ m_max(0),
+ m_num(0),
+ m_x(0),
+ m_y(0),
+ m_last_idx(-1)
+ {
+ }
+
+ //------------------------------------------------------------------------
+ bspline::bspline(int num) :
+ m_max(0),
+ m_num(0),
+ m_x(0),
+ m_y(0),
+ m_last_idx(-1)
+ {
+ init(num);
+ }
+
+ //------------------------------------------------------------------------
+ bspline::bspline(int num, const double* x, const double* y) :
+ m_max(0),
+ m_num(0),
+ m_x(0),
+ m_y(0),
+ m_last_idx(-1)
+ {
+ init(num, x, y);
+ }
+
+
+ //------------------------------------------------------------------------
+ void bspline::init(int max)
+ {
+ if(max > 2 && max > m_max)
+ {
+ m_am.resize(max * 3);
+ m_max = max;
+ m_x = &m_am[m_max];
+ m_y = &m_am[m_max * 2];
+ }
+ m_num = 0;
+ m_last_idx = -1;
+ }
+
+
+ //------------------------------------------------------------------------
+ void bspline::add_point(double x, double y)
+ {
+ if(m_num < m_max)
+ {
+ m_x[m_num] = x;
+ m_y[m_num] = y;
+ ++m_num;
+ }
+ }
+
+
+ //------------------------------------------------------------------------
+ void bspline::prepare()
+ {
+ if(m_num > 2)
+ {
+ int i, k, n1;
+ double* temp;
+ double* r;
+ double* s;
+ double h, p, d, f, e;
+
+ for(k = 0; k < m_num; k++)
+ {
+ m_am[k] = 0.0;
+ }
+
+ n1 = 3 * m_num;
+
+ pod_array<double> al(n1);
+ temp = &al[0];
+
+ for(k = 0; k < n1; k++)
+ {
+ temp[k] = 0.0;
+ }
+
+ r = temp + m_num;
+ s = temp + m_num * 2;
+
+ n1 = m_num - 1;
+ d = m_x[1] - m_x[0];
+ e = (m_y[1] - m_y[0]) / d;
+
+ for(k = 1; k < n1; k++)
+ {
+ h = d;
+ d = m_x[k + 1] - m_x[k];
+ f = e;
+ e = (m_y[k + 1] - m_y[k]) / d;
+ al[k] = d / (d + h);
+ r[k] = 1.0 - al[k];
+ s[k] = 6.0 * (e - f) / (h + d);
+ }
+
+ for(k = 1; k < n1; k++)
+ {
+ p = 1.0 / (r[k] * al[k - 1] + 2.0);
+ al[k] *= -p;
+ s[k] = (s[k] - r[k] * s[k - 1]) * p;
+ }
+
+ m_am[n1] = 0.0;
+ al[n1 - 1] = s[n1 - 1];
+ m_am[n1 - 1] = al[n1 - 1];
+
+ for(k = n1 - 2, i = 0; i < m_num - 2; i++, k--)
+ {
+ al[k] = al[k] * al[k + 1] + s[k];
+ m_am[k] = al[k];
+ }
+ }
+ m_last_idx = -1;
+ }
+
+
+
+ //------------------------------------------------------------------------
+ void bspline::init(int num, const double* x, const double* y)
+ {
+ if(num > 2)
+ {
+ init(num);
+ int i;
+ for(i = 0; i < num; i++)
+ {
+ add_point(*x++, *y++);
+ }
+ prepare();
+ }
+ m_last_idx = -1;
+ }
+
+
+ //------------------------------------------------------------------------
+ void bspline::bsearch(int n, const double *x, double x0, int *i)
+ {
+ int j = n - 1;
+ int k;
+
+ for(*i = 0; (j - *i) > 1; )
+ {
+ if(x0 < x[k = (*i + j) >> 1]) j = k;
+ else *i = k;
+ }
+ }
+
+
+
+ //------------------------------------------------------------------------
+ double bspline::interpolation(double x, int i) const
+ {
+ int j = i + 1;
+ double d = m_x[i] - m_x[j];
+ double h = x - m_x[j];
+ double r = m_x[i] - x;
+ double p = d * d / 6.0;
+ return (m_am[j] * r * r * r + m_am[i] * h * h * h) / 6.0 / d +
+ ((m_y[j] - m_am[j] * p) * r + (m_y[i] - m_am[i] * p) * h) / d;
+ }
+
+
+ //------------------------------------------------------------------------
+ double bspline::extrapolation_left(double x) const
+ {
+ double d = m_x[1] - m_x[0];
+ return (-d * m_am[1] / 6 + (m_y[1] - m_y[0]) / d) *
+ (x - m_x[0]) +
+ m_y[0];
+ }
+
+ //------------------------------------------------------------------------
+ double bspline::extrapolation_right(double x) const
+ {
+ double d = m_x[m_num - 1] - m_x[m_num - 2];
+ return (d * m_am[m_num - 2] / 6 + (m_y[m_num - 1] - m_y[m_num - 2]) / d) *
+ (x - m_x[m_num - 1]) +
+ m_y[m_num - 1];
+ }
+
+ //------------------------------------------------------------------------
+ double bspline::get(double x) const
+ {
+ if(m_num > 2)
+ {
+ int i;
+
+ // Extrapolation on the left
+ if(x < m_x[0]) return extrapolation_left(x);
+
+ // Extrapolation on the right
+ if(x >= m_x[m_num - 1]) return extrapolation_right(x);
+
+ // Interpolation
+ bsearch(m_num, m_x, x, &i);
+ return interpolation(x, i);
+ }
+ return 0.0;
+ }
+
+
+ //------------------------------------------------------------------------
+ double bspline::get_stateful(double x) const
+ {
+ if(m_num > 2)
+ {
+ // Extrapolation on the left
+ if(x < m_x[0]) return extrapolation_left(x);
+
+ // Extrapolation on the right
+ if(x >= m_x[m_num - 1]) return extrapolation_right(x);
+
+ if(m_last_idx >= 0)
+ {
+ // Check if x is not in current range
+ if(x < m_x[m_last_idx] || x > m_x[m_last_idx + 1])
+ {
+ // Check if x between next points (most probably)
+ if(m_last_idx < m_num - 2 &&
+ x >= m_x[m_last_idx + 1] &&
+ x <= m_x[m_last_idx + 2])
+ {
+ ++m_last_idx;
+ }
+ else
+ if(m_last_idx > 0 &&
+ x >= m_x[m_last_idx - 1] &&
+ x <= m_x[m_last_idx])
+ {
+ // x is between pevious points
+ --m_last_idx;
+ }
+ else
+ {
+ // Else perform full search
+ bsearch(m_num, m_x, x, &m_last_idx);
+ }
+ }
+ return interpolation(x, m_last_idx);
+ }
+ else
+ {
+ // Interpolation
+ bsearch(m_num, m_x, x, &m_last_idx);
+ return interpolation(x, m_last_idx);
+ }
+ }
+ return 0.0;
+ }
+
+}
+