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https://github.com/mod-playerbots/azerothcore-wotlk.git
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First Commit
For Azeroth!
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Yehonal
306
src/server/game/Movement/Spline/Spline.cpp
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306
src/server/game/Movement/Spline/Spline.cpp
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/*
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* Copyright (C)
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*
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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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*
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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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*
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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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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*/
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#include "Spline.h"
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#include <sstream>
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#include <G3D/Matrix4.h>
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namespace Movement{
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SplineBase::EvaluationMethtod SplineBase::evaluators[SplineBase::ModesEnd] =
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{
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&SplineBase::EvaluateLinear,
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&SplineBase::EvaluateCatmullRom,
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&SplineBase::EvaluateBezier3,
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(EvaluationMethtod)&SplineBase::UninitializedSpline,
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};
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SplineBase::EvaluationMethtod SplineBase::derivative_evaluators[SplineBase::ModesEnd] =
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{
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&SplineBase::EvaluateDerivativeLinear,
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&SplineBase::EvaluateDerivativeCatmullRom,
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&SplineBase::EvaluateDerivativeBezier3,
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(EvaluationMethtod)&SplineBase::UninitializedSpline,
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};
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SplineBase::SegLenghtMethtod SplineBase::seglengths[SplineBase::ModesEnd] =
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{
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&SplineBase::SegLengthLinear,
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&SplineBase::SegLengthCatmullRom,
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&SplineBase::SegLengthBezier3,
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(SegLenghtMethtod)&SplineBase::UninitializedSpline,
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};
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SplineBase::InitMethtod SplineBase::initializers[SplineBase::ModesEnd] =
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{
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//&SplineBase::InitLinear,
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&SplineBase::InitCatmullRom, // we should use catmullrom initializer even for linear mode! (client's internal structure limitation)
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&SplineBase::InitCatmullRom,
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&SplineBase::InitBezier3,
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(InitMethtod)&SplineBase::UninitializedSpline,
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};
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///////////
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using G3D::Matrix4;
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static const Matrix4 s_catmullRomCoeffs(
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-0.5f, 1.5f, -1.5f, 0.5f,
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1.f, -2.5f, 2.f, -0.5f,
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-0.5f, 0.f, 0.5f, 0.f,
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0.f, 1.f, 0.f, 0.f);
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static const Matrix4 s_Bezier3Coeffs(
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-1.f, 3.f, -3.f, 1.f,
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3.f, -6.f, 3.f, 0.f,
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-3.f, 3.f, 0.f, 0.f,
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1.f, 0.f, 0.f, 0.f);
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/* classic view:
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inline void C_Evaluate(const Vector3 *vertice, float t, const float (&matrix)[4][4], Vector3 &position)
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{
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Vector3 tvec(t*t*t, t*t, t);
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int i = 0;
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double c;
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double x = 0, y = 0, z = 0;
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while ( i < 4 )
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{
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c = matrix[0][i]*tvec.x + matrix[1][i]*tvec.y + matrix[2][i]*tvec.z + matrix[3][i];
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x += c * vertice->x;
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y += c * vertice->y;
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z += c * vertice->z;
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++i;
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++vertice;
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}
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position.x = x;
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position.y = y;
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position.z = z;
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}*/
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inline void C_Evaluate(const Vector3 *vertice, float t, const Matrix4& matr, Vector3 &result)
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{
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Vector4 tvec(t*t*t, t*t, t, 1.f);
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Vector4 weights(tvec * matr);
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result = vertice[0] * weights[0] + vertice[1] * weights[1]
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+ vertice[2] * weights[2] + vertice[3] * weights[3];
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}
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inline void C_Evaluate_Derivative(const Vector3 *vertice, float t, const Matrix4& matr, Vector3 &result)
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{
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Vector4 tvec(3.f*t*t, 2.f*t, 1.f, 0.f);
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Vector4 weights(tvec * matr);
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result = vertice[0] * weights[0] + vertice[1] * weights[1]
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+ vertice[2] * weights[2] + vertice[3] * weights[3];
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}
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void SplineBase::EvaluateLinear(index_type index, float u, Vector3& result) const
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{
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ASSERT(index >= index_lo && index < index_hi);
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result = points[index] + (points[index+1] - points[index]) * u;
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}
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void SplineBase::EvaluateCatmullRom( index_type index, float t, Vector3& result) const
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{
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ASSERT(index >= index_lo && index < index_hi);
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C_Evaluate(&points[index - 1], t, s_catmullRomCoeffs, result);
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}
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void SplineBase::EvaluateBezier3(index_type index, float t, Vector3& result) const
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{
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index *= 3u;
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ASSERT(index >= index_lo && index < index_hi);
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C_Evaluate(&points[index], t, s_Bezier3Coeffs, result);
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}
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void SplineBase::EvaluateDerivativeLinear(index_type index, float, Vector3& result) const
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{
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ASSERT(index >= index_lo && index < index_hi);
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result = points[index+1] - points[index];
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}
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void SplineBase::EvaluateDerivativeCatmullRom(index_type index, float t, Vector3& result) const
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{
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ASSERT(index >= index_lo && index < index_hi);
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C_Evaluate_Derivative(&points[index - 1], t, s_catmullRomCoeffs, result);
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}
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void SplineBase::EvaluateDerivativeBezier3(index_type index, float t, Vector3& result) const
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{
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index *= 3u;
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ASSERT(index >= index_lo && index < index_hi);
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C_Evaluate_Derivative(&points[index], t, s_Bezier3Coeffs, result);
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}
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float SplineBase::SegLengthLinear(index_type index) const
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{
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ASSERT(index >= index_lo && index < index_hi);
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return (points[index] - points[index+1]).length();
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}
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float SplineBase::SegLengthCatmullRom(index_type index) const
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{
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ASSERT(index >= index_lo && index < index_hi);
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Vector3 curPos, nextPos;
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const Vector3 * p = &points[index - 1];
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curPos = nextPos = p[1];
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index_type i = 1;
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double length = 0;
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while (i <= STEPS_PER_SEGMENT)
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{
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C_Evaluate(p, float(i) / float(STEPS_PER_SEGMENT), s_catmullRomCoeffs, nextPos);
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length += (nextPos - curPos).length();
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curPos = nextPos;
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++i;
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}
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return length;
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}
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float SplineBase::SegLengthBezier3(index_type index) const
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{
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index *= 3u;
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ASSERT(index >= index_lo && index < index_hi);
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Vector3 curPos, nextPos;
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const Vector3 * p = &points[index];
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C_Evaluate(p, 0.f, s_Bezier3Coeffs, nextPos);
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curPos = nextPos;
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index_type i = 1;
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double length = 0;
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while (i <= STEPS_PER_SEGMENT)
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{
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C_Evaluate(p, float(i) / float(STEPS_PER_SEGMENT), s_Bezier3Coeffs, nextPos);
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length += (nextPos - curPos).length();
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curPos = nextPos;
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++i;
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}
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return length;
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}
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void SplineBase::init_spline(const Vector3 * controls, index_type count, EvaluationMode m)
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{
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m_mode = m;
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cyclic = false;
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(this->*initializers[m_mode])(controls, count, cyclic, 0);
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}
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void SplineBase::init_cyclic_spline(const Vector3 * controls, index_type count, EvaluationMode m, index_type cyclic_point)
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{
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m_mode = m;
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cyclic = true;
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(this->*initializers[m_mode])(controls, count, cyclic, cyclic_point);
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}
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void SplineBase::InitLinear(const Vector3* controls, index_type count, bool cyclic, index_type cyclic_point)
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{
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ASSERT(count >= 2);
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const int real_size = count + 1;
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points.resize(real_size);
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memcpy(&points[0], controls, sizeof(Vector3) * count);
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// first and last two indexes are space for special 'virtual points'
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// these points are required for proper C_Evaluate and C_Evaluate_Derivative methtod work
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if (cyclic)
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points[count] = controls[cyclic_point];
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else
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points[count] = controls[count-1];
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index_lo = 0;
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index_hi = cyclic ? count : (count - 1);
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}
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void SplineBase::InitCatmullRom(const Vector3* controls, index_type count, bool cyclic, index_type cyclic_point)
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{
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const int real_size = count + (cyclic ? (1+2) : (1+1));
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points.resize(real_size);
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int lo_index = 1;
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int high_index = lo_index + count - 1;
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memcpy(&points[lo_index], controls, sizeof(Vector3) * count);
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// first and last two indexes are space for special 'virtual points'
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// these points are required for proper C_Evaluate and C_Evaluate_Derivative methtod work
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if (cyclic)
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{
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if (cyclic_point == 0)
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points[0] = controls[count-1];
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else
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points[0] = controls[0].lerp(controls[1], -1);
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points[high_index+1] = controls[cyclic_point];
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points[high_index+2] = controls[cyclic_point+1];
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}
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else
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{
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points[0] = controls[0].lerp(controls[1], -1);
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points[high_index+1] = controls[count-1];
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}
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index_lo = lo_index;
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index_hi = high_index + (cyclic ? 1 : 0);
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}
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void SplineBase::InitBezier3(const Vector3* controls, index_type count, bool /*cyclic*/, index_type /*cyclic_point*/)
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{
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index_type c = count / 3u * 3u;
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index_type t = c / 3u;
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points.resize(c);
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memcpy(&points[0], controls, sizeof(Vector3) * c);
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index_lo = 0;
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index_hi = t-1;
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//mov_assert(points.size() % 3 == 0);
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}
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void SplineBase::clear()
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{
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index_lo = 0;
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index_hi = 0;
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points.clear();
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pointsVisual.clear();
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}
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std::string SplineBase::ToString() const
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{
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std::stringstream str;
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const char * mode_str[ModesEnd] = {"Linear", "CatmullRom", "Bezier3", "Uninitialized"};
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index_type count = this->points.size();
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str << "mode: " << mode_str[mode()] << std::endl;
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str << "points count: " << count << std::endl;
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for (index_type i = 0; i < count; ++i)
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str << "point " << i << " : " << points[i].toString() << std::endl;
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return str.str();
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}
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}
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