/*
* This file is part of the TrinityCore Project. See AUTHORS file for Copyright information
*
* This program 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.
*
* This program 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 this program. If not, see .
*/
#include "Spline.h"
#include
#include
namespace Movement{
SplineBase::EvaluationMethtod SplineBase::evaluators[SplineBase::ModesEnd] =
{
&SplineBase::EvaluateLinear,
&SplineBase::EvaluateCatmullRom,
&SplineBase::EvaluateBezier3,
&SplineBase::UninitializedSplineEvaluationMethod,
};
SplineBase::EvaluationMethtod SplineBase::derivative_evaluators[SplineBase::ModesEnd] =
{
&SplineBase::EvaluateDerivativeLinear,
&SplineBase::EvaluateDerivativeCatmullRom,
&SplineBase::EvaluateDerivativeBezier3,
&SplineBase::UninitializedSplineEvaluationMethod,
};
SplineBase::SegLenghtMethtod SplineBase::seglengths[SplineBase::ModesEnd] =
{
&SplineBase::SegLengthLinear,
&SplineBase::SegLengthCatmullRom,
&SplineBase::SegLengthBezier3,
&SplineBase::UninitializedSplineSegLenghtMethod,
};
SplineBase::InitMethtod SplineBase::initializers[SplineBase::ModesEnd] =
{
//&SplineBase::InitLinear,
&SplineBase::InitCatmullRom, // we should use catmullrom initializer even for linear mode! (client's internal structure limitation)
&SplineBase::InitCatmullRom,
&SplineBase::InitBezier3,
&SplineBase::UninitializedSplineInitMethod,
};
///////////
using G3D::Matrix4;
static const Matrix4 s_catmullRomCoeffs(
-0.5f, 1.5f, -1.5f, 0.5f,
1.f, -2.5f, 2.f, -0.5f,
-0.5f, 0.f, 0.5f, 0.f,
0.f, 1.f, 0.f, 0.f);
static const Matrix4 s_Bezier3Coeffs(
-1.f, 3.f, -3.f, 1.f,
3.f, -6.f, 3.f, 0.f,
-3.f, 3.f, 0.f, 0.f,
1.f, 0.f, 0.f, 0.f);
/* classic view:
inline void C_Evaluate(const Vector3 *vertice, float t, const float (&matrix)[4][4], Vector3 &position)
{
Vector3 tvec(t*t*t, t*t, t);
int i = 0;
double c;
double x = 0, y = 0, z = 0;
while ( i < 4 )
{
c = matrix[0][i]*tvec.x + matrix[1][i]*tvec.y + matrix[2][i]*tvec.z + matrix[3][i];
x += c * vertice->x;
y += c * vertice->y;
z += c * vertice->z;
++i;
++vertice;
}
position.x = x;
position.y = y;
position.z = z;
}*/
inline void C_Evaluate(Vector3 const* vertice, float t, Matrix4 const& matr, Vector3 &result)
{
Vector4 tvec(t*t*t, t*t, t, 1.f);
Vector4 weights(tvec * matr);
result = vertice[0] * weights[0] + vertice[1] * weights[1]
+ vertice[2] * weights[2] + vertice[3] * weights[3];
}
inline void C_Evaluate_Derivative(Vector3 const* vertice, float t, Matrix4 const& matr, Vector3 &result)
{
Vector4 tvec(3.f*t*t, 2.f*t, 1.f, 0.f);
Vector4 weights(tvec * matr);
result = vertice[0] * weights[0] + vertice[1] * weights[1]
+ vertice[2] * weights[2] + vertice[3] * weights[3];
}
void SplineBase::EvaluateLinear(index_type index, float u, Vector3& result) const
{
ASSERT(index >= index_lo && index < index_hi);
result = points[index] + (points[index+1] - points[index]) * u;
}
void SplineBase::EvaluateCatmullRom( index_type index, float t, Vector3& result) const
{
ASSERT(index >= index_lo && index < index_hi);
C_Evaluate(&points[index - 1], t, s_catmullRomCoeffs, result);
}
void SplineBase::EvaluateBezier3(index_type index, float t, Vector3& result) const
{
index *= 3u;
ASSERT(index >= index_lo && index < index_hi);
C_Evaluate(&points[index], t, s_Bezier3Coeffs, result);
}
void SplineBase::EvaluateDerivativeLinear(index_type index, float, Vector3& result) const
{
ASSERT(index >= index_lo && index < index_hi);
result = points[index+1] - points[index];
}
void SplineBase::EvaluateDerivativeCatmullRom(index_type index, float t, Vector3& result) const
{
ASSERT(index >= index_lo && index < index_hi);
C_Evaluate_Derivative(&points[index - 1], t, s_catmullRomCoeffs, result);
}
void SplineBase::EvaluateDerivativeBezier3(index_type index, float t, Vector3& result) const
{
index *= 3u;
ASSERT(index >= index_lo && index < index_hi);
C_Evaluate_Derivative(&points[index], t, s_Bezier3Coeffs, result);
}
float SplineBase::SegLengthLinear(index_type index) const
{
ASSERT(index >= index_lo && index < index_hi);
return (points[index] - points[index+1]).length();
}
float SplineBase::SegLengthCatmullRom(index_type index) const
{
ASSERT(index >= index_lo && index < index_hi);
Vector3 curPos, nextPos;
const Vector3 * p = &points[index - 1];
curPos = nextPos = p[1];
index_type i = 1;
float length = 0;
while (i <= stepsPerSegment)
{
C_Evaluate(p, float(i) / float(stepsPerSegment), s_catmullRomCoeffs, nextPos);
length += (nextPos - curPos).length();
curPos = nextPos;
++i;
}
return length;
}
float SplineBase::SegLengthBezier3(index_type index) const
{
index *= 3u;
ASSERT(index >= index_lo && index < index_hi);
Vector3 curPos, nextPos;
const Vector3 * p = &points[index];
C_Evaluate(p, 0.f, s_Bezier3Coeffs, nextPos);
curPos = nextPos;
index_type i = 1;
float length = 0;
while (i <= stepsPerSegment)
{
C_Evaluate(p, float(i) / float(stepsPerSegment), s_Bezier3Coeffs, nextPos);
length += (nextPos - curPos).length();
curPos = nextPos;
++i;
}
return length;
}
void SplineBase::init_spline(const Vector3 * controls, index_type count, EvaluationMode m, float orientation)
{
m_mode = m;
cyclic = false;
initialOrientation = orientation;
(this->*initializers[m_mode])(controls, count, 0);
}
void SplineBase::init_cyclic_spline(const Vector3 * controls, index_type count, EvaluationMode m, index_type cyclic_point, float orientation)
{
m_mode = m;
cyclic = true;
initialOrientation = orientation;
(this->*initializers[m_mode])(controls, count, cyclic_point);
}
void SplineBase::InitLinear(Vector3 const* controls, index_type count, index_type cyclic_point)
{
ASSERT(count >= 2);
const int real_size = count + 1;
points.resize(real_size);
memcpy(&points[0], controls, sizeof(Vector3) * count);
// first and last two indexes are space for special 'virtual points'
// these points are required for proper C_Evaluate and C_Evaluate_Derivative methtod work
if (cyclic)
points[count] = controls[cyclic_point];
else
points[count] = controls[count-1];
index_lo = 0;
index_hi = cyclic ? count : (count - 1);
}
void SplineBase::InitCatmullRom(Vector3 const* controls, index_type count, index_type cyclic_point)
{
const int real_size = count + (cyclic ? (1+2) : (1+1));
points.resize(real_size);
int lo_index = 1;
int high_index = lo_index + count - 1;
memcpy(&points[lo_index], controls, sizeof(Vector3) * count);
// first and last two indexes are space for special 'virtual points'
// these points are required for proper C_Evaluate and C_Evaluate_Derivative methtod work
if (cyclic)
{
if (cyclic_point == 0)
points[0] = controls[count-1];
else
points[0] = controls[0] - G3D::Vector3{ std::cos(initialOrientation), std::sin(initialOrientation), 0.0f };
points[high_index+1] = controls[cyclic_point];
points[high_index+2] = controls[cyclic_point+1];
}
else
{
points[0] = controls[0] - G3D::Vector3{ std::cos(initialOrientation), std::sin(initialOrientation), 0.0f };
points[high_index+1] = controls[count-1];
}
index_lo = lo_index;
index_hi = high_index + (cyclic ? 1 : 0);
}
void SplineBase::InitBezier3(Vector3 const* controls, index_type count, index_type /*cyclic_point*/)
{
index_type c = count / 3u * 3u;
index_type t = c / 3u;
points.resize(c);
memcpy(&points[0], controls, sizeof(Vector3) * c);
index_lo = 0;
index_hi = t-1;
//mov_assert(points.size() % 3 == 0);
}
SplineBase::SplineBase(): index_lo(0), index_hi(0), m_mode(UninitializedMode), cyclic(false), initialOrientation(0.f)
{
}
SplineBase::~SplineBase() = default;
void SplineBase::clear()
{
index_lo = 0;
index_hi = 0;
points.clear();
}
std::string SplineBase::ToString() const
{
std::stringstream str;
const char * mode_str[ModesEnd] = {"Linear", "CatmullRom", "Bezier3", "Uninitialized"};
index_type count = this->points.size();
str << "mode: " << mode_str[mode()] << std::endl;
str << "points count: " << count << std::endl;
for (index_type i = 0; i < count; ++i)
str << "point " << i << " : " << points[i].toString() << std::endl;
return std::move(str).str();
}
}