mirror of
https://github.com/TorqueGameEngines/Torque3D.git
synced 2026-01-20 04:34:48 +00:00
123 lines
4.2 KiB
C++
123 lines
4.2 KiB
C++
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//~~~~~~~~~~~~~~~~~~~~//~~~~~~~~~~~~~~~~~~~~//~~~~~~~~~~~~~~~~~~~~//~~~~~~~~~~~~~~~~~~~~~//
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// Arcane-FX for MIT Licensed Open Source version of Torque 3D from GarageGames
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// Copyright (C) 2015 Faust Logic, Inc.
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//
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// Permission is hereby granted, free of charge, to any person obtaining a copy
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// of this software and associated documentation files (the "Software"), to
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// deal in the Software without restriction, including without limitation the
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// rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
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// sell copies of the Software, and to permit persons to whom the Software is
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// furnished to do so, subject to the following conditions:
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//
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// The above copyright notice and this permission notice shall be included in
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// all copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
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// IN THE SOFTWARE.
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//
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//~~~~~~~~~~~~~~~~~~~~//~~~~~~~~~~~~~~~~~~~~//~~~~~~~~~~~~~~~~~~~~//~~~~~~~~~~~~~~~~~~~~~//
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#include "afx/arcaneFX.h"
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#include "afx/util/afxCurveEval.h"
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Point2F afxHermiteEval::evaluateCurve( Point2F &v0, Point2F &v1,
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Point2F &t0, Point2F &t1, F32 t )
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{
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F32 t_3 = t*t*t;
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F32 t_2 = t*t;
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F32 h1 = ( 2.0f * t_3 ) - ( 3.0f * t_2 ) + 1;
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F32 h2 = (-2.0f * t_3 ) + ( 3.0f * t_2 );
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F32 h3 = t_3 - ( 2.0f * t_2 ) + t;
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F32 h4 = t_3 - t_2;
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Point2F v(
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(h1*v0.x)+(h2*v1.x)+(h3*t0.x)+(h4*t1.x),
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(h1*v0.y)+(h2*v1.y)+(h3*t0.y)+(h4*t1.y) );
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return v;
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}
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Point2F afxHermiteEval::evaluateCurve( Point2F &v0, Point2F &v1, F32 t )
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{
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Point2F tangent( 1, 0 );
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return( evaluateCurve( v0, v1, tangent, tangent, t ) );
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}
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Point2F afxHermiteEval::evaluateCurveTangent( Point2F &v0, Point2F &v1,
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Point2F &t0, Point2F &t1, F32 t )
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{
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F32 t_2 = t*t;
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F32 h1_der = ( 6.0f * t_2 ) - ( 6.0f * t );
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F32 h2_der = (-6.0f * t_2 ) + ( 6.0f * t );
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F32 h3_der = ( 3.0f * t_2 ) - ( 4.0f * t ) + 1;
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F32 h4_der = ( 3.0f * t_2 ) - ( 2.0f * t );
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Point2F tangent(
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(h1_der*v0.x)+(h2_der*v1.x)+(h3_der*t0.x)+(h4_der*t1.x),
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(h1_der*v0.y)+(h2_der*v1.y)+(h3_der*t0.y)+(h4_der*t1.y) );
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return tangent;
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}
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Point2F afxHermiteEval::evaluateCurveTangent( Point2F &v0, Point2F &v1, F32 t )
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{
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Point2F tangent( 1, 0 );
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return( evaluateCurveTangent( v0, v1, tangent, tangent, t ) );
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}
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Point3F afxHermiteEval::evaluateCurve( Point3F &v0, Point3F &v1,
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Point3F &t0, Point3F &t1, F32 t )
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{
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F32 t_3 = t*t*t;
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F32 t_2 = t*t;
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F32 h1 = ( 2.0f * t_3 ) - ( 3.0f * t_2 ) + 1;
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F32 h2 = (-2.0f * t_3 ) + ( 3.0f * t_2 );
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F32 h3 = t_3 - ( 2.0f * t_2 ) + t;
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F32 h4 = t_3 - t_2;
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Point3F v(
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(h1*v0.x)+(h2*v1.x)+(h3*t0.x)+(h4*t1.x),
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(h1*v0.y)+(h2*v1.y)+(h3*t0.y)+(h4*t1.y),
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(h1*v0.z)+(h2*v1.z)+(h3*t0.z)+(h4*t1.z) );
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return v;
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}
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Point3F afxHermiteEval::evaluateCurve( Point3F &v0, Point3F &v1, F32 t )
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{
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Point3F tangent( 1, 0, 0 );
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return( evaluateCurve( v0, v1, tangent, tangent, t ) );
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}
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Point3F afxHermiteEval::evaluateCurveTangent( Point3F &v0, Point3F &v1,
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Point3F &t0, Point3F &t1, F32 t )
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{
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F32 t_2 = t*t;
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F32 h1_der = ( 6.0f * t_2 ) - ( 6.0f * t );
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F32 h2_der = (-6.0f * t_2 ) + ( 6.0f * t );
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F32 h3_der = ( 3.0f * t_2 ) - ( 4.0f * t ) + 1;
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F32 h4_der = ( 3.0f * t_2 ) - ( 2.0f * t );
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Point3F tangent(
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(h1_der*v0.x)+(h2_der*v1.x)+(h3_der*t0.x)+(h4_der*t1.x),
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(h1_der*v0.y)+(h2_der*v1.y)+(h3_der*t0.y)+(h4_der*t1.y),
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(h1_der*v0.z)+(h2_der*v1.z)+(h3_der*t0.z)+(h4_der*t1.z) );
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return tangent;
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}
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Point3F afxHermiteEval::evaluateCurveTangent( Point3F &v0, Point3F &v1, F32 t )
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{
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Point3F tangent( 1, 0, 0 );
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return( evaluateCurveTangent( v0, v1, tangent, tangent, t ) );
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}
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//~~~~~~~~~~~~~~~~~~~~//~~~~~~~~~~~~~~~~~~~~//~~~~~~~~~~~~~~~~~~~~//~~~~~~~~~~~~~~~~~~~~~//
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