440 lines
22 KiB
C
440 lines
22 KiB
C
/* ##H_FILE#
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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FILE : sl12_3D.h
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MODULE : sl12 (Common Mathematic Library)
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DESCRIPTION : 3D Vectorial implementation
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VERSION : sl12 V5.0.13 / Alexandre LANGER [ALX] Ubi R&D / Add Comments
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VERSION PC
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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*/
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/* -----------------15/04/98 18:36-------------------
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* Conversion : OK avec version 23.04.98 19:58 31153
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* --------------------------------------------------*/
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#ifndef _SCA_sl12_3D_H_
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#define _SCA_sl12_3D_H_
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#include "MTH\Specif\SCA\SCA_sl12.h"
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/* ##TYPEDEF#----------------------------------------------------------------------------
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Types definition
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---------------------------------------------------------------------------------------*/
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/* 3D Vector : */
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/*
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#if 0
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typedef VECTOR sl12_3D_tdstVector;
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#else
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typedef struct sl12_3D_tdstVector_
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{
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SCA_td_sl12 xX;
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SCA_td_sl12 xY;
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SCA_td_sl12 xZ;
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SCA_td_sl12 pad;
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} sl12_3D_tdstVector;
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#endif
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*/
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#define sl12_3D_tdstVector MTH3D_tdstVector
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/* 3D Matrix */
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/*
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typedef struct sl12_3D_tdstMatrix_
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{
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sl12_3D_tdstVector stCol_0;
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sl12_3D_tdstVector stCol_1;
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sl12_3D_tdstVector stCol_2;
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} sl12_3D_tdstMatrix;
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*/
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#define sl12_3D_tdstMatrix MTH3D_tdstMatrix
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/* ##MACRO#----------------------------------------------------------------------------
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MACRO definition
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---------------------------------------------------------------------------------------*/
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/*+ ##-######################################
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## MACRO AND FUNCTION FOR 3D MATHEMATICS
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######################################### */
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/* ##-###########################
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## Vector Operations
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############################## */
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/* ##M==================================================================================
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NAME : sl12_3D_M_vAddVector
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DESCRIPTION : Add two vectors : VectDest= VectA + VectB
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INPUT : VectDest, VectA, VectB : address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vAddVector( VectDest, VectA, VectB) MTH3D_M_vAddVector( VectDest, VectA, VectB)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vSubVector
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DESCRIPTION : Sub two vectors : VectDest= VectA - VectB
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INPUT : VectDest, VectA, VectB : address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vSubVector( VectDest, VectA, VectB) MTH3D_M_vSubVector( VectDest, VectA, VectB)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vNegVector
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DESCRIPTION : Negation of a vector : VectDest= - VectA
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INPUT : VectDest, VectA : address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vNegVector( VectDest, VectA) MTH3D_M_vNegVector( VectDest, VectA)
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/* ##M==================================================================================
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NAME : sl12_3D_M_bEqualVector
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DESCRIPTION : Test if two vectors are equal
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INPUT : VectA, VectB : address of sl12_3D_tdstVector
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OUTPUT : VectA==VectB : Boolean
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=======================================================================================*/
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#define sl12_3D_M_bEqualVector( VectA, VectB) MTH3D_M_bEqualVector( VectA, VectB)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vAddScalarVector
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DESCRIPTION : Add a scalare with a vector : VectDest= a.Id + VectA
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INPUT : VectDest: address of sl12_3D_tdstVector,
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a: SCA_td_sl12, VectA: address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vAddScalarVector( VectDest, a, VectA) MTH3D_M_vAddScalarVector( VectDest, a, VectA)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vSubScalarVector
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DESCRIPTION : Add a scalare with a vector : VectDest= VectA - a.Id
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INPUT : VectDest: address of sl12_3D_tdstVector,
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a: SCA_td_sl12, VectA: address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vSubScalarVector( VectDest, a, VectA) MTH3D_M_vSubScalarVector( VectDest, a, VectA)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vMulScalarVector
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DESCRIPTION : Multiplicate a scalare with a vector : VectDest= a*VectA
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INPUT : VectDest: address of sl12_3D_tdstVector,
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a: SCA_td_sl12, VectA: address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vMulScalarVector( VectDest, a, VectA) MTH3D_M_vMulScalarVector( VectDest, a, VectA)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vDivScalarVector
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DESCRIPTION : Divide a vector by a scalare : VectDest= VectA/a
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INPUT : VectDest, VectA: address of sl12_3D_tdstVector, a: SCA_td_sl12
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vDivScalarVector( VectDest, VectA, a) MTH3D_M_vDivScalarVector( VectDest, VectA, a)
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/* ##M==================================================================================
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NAME : sl12_3D_M_xDotProductVector
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DESCRIPTION : Return the Dot Product of two vectors
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INPUT : VectA, VectB : address of sl12_3D_tdstVector
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OUTPUT : VectA.VectB : SCA_td_sl12
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=======================================================================================*/
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#define sl12_3D_M_xDotProductVector( VectA, VectB) MTH3D_M_xDotProductVector( VectA, VectB)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vCrossProductVectorWithoutBuffer
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DESCRIPTION : Calculate the cross product of two vectors : VectDest= VectA^VectB,
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VectDest must be a other vector
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INPUT : VectDest, VectA, VectA: address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_fn_vCrossProductVectorWithoutBuffer(_p_stVectDest, _p_stVectA, _p_stVectB) \
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MTH3D_M_vCrossProductVectorWithoutBuffer(_p_stVectDest, _p_stVectA, _p_stVectB)
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#define sl12_3D_M_vCrossProductVectorWithoutBuffer(VectDest, VectA, VectB) \
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sl12_3D_fn_vCrossProductVectorWithoutBuffer(VectDest, VectA, VectB)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vCrossProductVector
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DESCRIPTION : Calculate the cross product of two vectors : VectDest= VectA^VectB
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INPUT : VectDest, VectA, VectA: address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vCrossProductVector(VectDest,VectA,VectB) MTH3D_M_vCrossProductVector(VectDest,VectA,VectB)
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/* ##M==================================================================================
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NAME : sl12_3D_M_xSqrVector
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DESCRIPTION : Return the square of a vector
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INPUT : VectA : address of sl12_3D_tdstVector
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OUTPUT : VectA.VectA : SCA_td_sl12
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=======================================================================================*/
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#define sl12_3D_M_xSqrVector( VectA) MTH3D_M_xSqrVector( VectA )
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/* ##M==================================================================================
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NAME : sl12_3D_M_xNormVector
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DESCRIPTION : Return the norm of a vector
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INPUT : VectA : address of sl12_3D_tdstVector
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OUTPUT : ||VectA|| : SCA_td_sl12
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=======================================================================================*/
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#define sl12_3D_M_xNormVector( VectA ) MTH3D_M_xNormVector( VectA )
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/* ##M==================================================================================
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NAME : sl12_3D_M_xInvNormVector
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DESCRIPTION : Return the inverse of the norm of a vector
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INPUT : VectA : address of sl12_3D_tdstVector
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OUTPUT : 1/||VectA|| : SCA_td_sl12
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=======================================================================================*/
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#define sl12_3D_M_xInvNormVector( VectA ) MTH3D_M_xInvNormVector( VectA )
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/* ##M==================================================================================
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NAME : sl12_3D_M_xVectorGapSqr
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DESCRIPTION : Return the square Gap between two vectors
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INPUT : VectA, VectB : address of sl12_3D_tdstVector
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OUTPUT : Sqr(||VectA-VectB||) : SCA_td_sl12
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=======================================================================================*/
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#define sl12_3D_M_xVectorGapSqr(VectA, VectB) MTH3D_M_xVectorGapSqr(VectA, VectB)
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/* ##M==================================================================================
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NAME : sl12_3D_M_xVectorGap
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DESCRIPTION : Return the Gap between two vectors
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INPUT : VectA, VectB : address of sl12_3D_tdstVector
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OUTPUT : ||VectA-VectB|| : SCA_td_sl12
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=======================================================================================*/
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#define sl12_3D_M_xVectorGap(VectA, VectB) MTH3D_M_xVectorGap(VectA, VectB)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vFillVector
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DESCRIPTION : Fill each vector element with a value
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INPUT : VectA: address of sl12_3D_tdstVector, a: SCA_td_sl12
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vFillVector( VectDest, a) MTH3D_M_vFillVector( VectDest, a)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vNormalizeVector
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DESCRIPTION : Normalize a vector : VectDest= VectA/||VectA||
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INPUT : VectDest, VectA : address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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/* Cf 3D_Conv.h */
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/*#define sl12_3D_M_vNormalizeVector(VectDest, VectA) MTH3D_M_vNormalizeVector(VectDest, VectA)*/
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/* ##M==================================================================================
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NAME : sl12_3D_M_vGetVectorElements
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DESCRIPTION : Get x, y, z values of a vector
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INPUT : x, y, z : address of SCA_td_sl12, VectA : address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vGetVectorElements( Vx, Vy, Vz, VectA) MTH3D_M_vGetVectorElements( Vx, Vy, Vz, VectA)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vSetVectorElements
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DESCRIPTION : Set a vector with x, y, z values
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INPUT : VectDest : address of sl12_3D_tdstVector, x, y, z : address of SCA_td_sl12,
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vSetVectorElements( VectDest, Vx, Vy, Vz) MTH3D_M_vSetVectorElements( VectDest, Vx, Vy, Vz)
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/* ##M==================================================================================
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NAME : sl12_3D_M_xGetXofVector
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DESCRIPTION : Return x element of a vector
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INPUT : VectA : address of sl12_3D_tdstVector
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OUTPUT : x : SCA_td_sl12
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=======================================================================================*/
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#define sl12_3D_M_xGetXofVector( VectA ) MTH3D_M_xGetXofVector( VectA )
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/* ##M==================================================================================
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NAME : sl12_3D_M_vSetXofVector
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DESCRIPTION : Set x element of a vector
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INPUT : VectDest : address of sl12_3D_tdstVector, Vx : SCA_td_sl12
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vSetXofVector( VectDest, Vx) MTH3D_M_vSetXofVector( VectDest, Vx)
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/* ##M==================================================================================
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NAME : sl12_3D_M_xGetYofVector
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DESCRIPTION : Return y element of a vector
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INPUT : VectA : address of sl12_3D_tdstVector
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OUTPUT : y : SCA_td_sl12
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=======================================================================================*/
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#define sl12_3D_M_xGetYofVector( VectA ) MTH3D_M_xGetYofVector( VectA )
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/* ##M==================================================================================
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NAME : sl12_3D_M_vSetYofVector
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DESCRIPTION : Set y element of a vector
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INPUT : VectDest : address of sl12_3D_tdstVector, Vy : SCA_td_sl12
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vSetYofVector( VectDest, Vy) MTH3D_M_vSetYofVector( VectDest, Vy)
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/* ##M==================================================================================
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NAME : sl12_3D_M_xGetZofVector
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DESCRIPTION : Return z element of a vector
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INPUT : VectA : address of sl12_3D_tdstVector
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OUTPUT : z : SCA_td_sl12
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=======================================================================================*/
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#define sl12_3D_M_xGetZofVector( VectA ) MTH3D_M_xGetZofVector( VectA )
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/* ##M==================================================================================
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NAME : sl12_3D_M_vSetZofVector
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DESCRIPTION : Set z element of a vector
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INPUT : VectDest : address of sl12_3D_tdstVector, Vz : SCA_td_sl12
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vSetZofVector( VectDest, Vz) MTH3D_M_vSetZofVector( VectDest, Vz)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vCopyVector
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DESCRIPTION : Copy a vector : VectDest=VectA
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INPUT : VectDest, VectA : address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vCopyVector( VectDest, VectA) MTH3D_M_vCopyVector( VectDest, VectA)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vNullVector
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DESCRIPTION : Set all elements of a vector to zero
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INPUT : VectDest : address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vNullVector( VectDest) MTH3D_M_vNullVector( VectDest)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vScaleVector
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DESCRIPTION : Set each element of VectDest with the multiplication of element of VectA by element of VectB
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INPUT : VectDest, VectA, VectB : address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vScaleVector( VectDest, VectA, VectB ) MTH3D_M_vScaleVector( VectDest, VectA, VectB )
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/* ##M==================================================================================
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NAME : sl12_3D_M_vMiddleVector
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DESCRIPTION : Calculate the middle of two vectors : VectDest= (VectA+VectB)/2
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INPUT : VectDest, VectA, VectB : address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vMiddleVector( VectDest, VectA, VectB ) MTH3D_M_vMiddleVector( VectDest, VectA, VectB )
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/* ##M==================================================================================
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NAME : sl12_3D_M_vLinearInterpolVector
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DESCRIPTION : Calculate the lineat interpolation of two vectors : VectDest= VectA + t.(VectB-VectA)
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INPUT : VectDest, VectA, VectB: address of sl12_3D_tdstVector, t: SCA_td_sl12
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vLinearInterpolVector( VectDest, VectA, VectB, t) MTH3D_M_vLinearInterpolVector( VectDest, VectA, VectB, t)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vMaxVector
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DESCRIPTION : Make a vector with max elements of two other vectors
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INPUT : VectDest, VectA, VectB: address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vMaxVector( VectDest, VectA, VectB) MTH3D_M_vMaxVector( VectDest, VectA, VectB)
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/* ##M==================================================================================
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NAME : sl12_3D_M_vMinVector
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DESCRIPTION : Make a vector with min elements of two other vectors
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INPUT : VectDest, VectA, VectB: address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vMinVector( VectDest, VectA, VectB) MTH3D_M_vMinVector( VectDest, VectA, VectB)
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/* ##M==================================================================================
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NAME : sl12_3D_M_xDetxYVector
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DESCRIPTION : Return the 2D determinant between X and Y elements
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INPUT : VectA, VectB: address of sl12_3D_tdstVector
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OUTPUT : DetxY |VectA, VectB| : SCA_td_sl12
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=======================================================================================*/
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#define sl12_3D_M_xDetxYVector( VectA, VectB ) MTH3D_M_xDetxYVector( VectA, VectB )
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/* ##M==================================================================================
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NAME : sl12_3D_M_xDetYZVector
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DESCRIPTION : Return the 2D determinant between Y and Z elements
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INPUT : VectA, VectB: address of sl12_3D_tdstVector
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OUTPUT : DetYZ |VectA, VectB| : SCA_td_sl12
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=======================================================================================*/
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#define sl12_3D_M_xDetYZVector( VectA, VectB ) MTH3D_M_xDetYZVector( VectA, VectB )
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/* ##M==================================================================================
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NAME : sl12_3D_M_xDetZXVector
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DESCRIPTION : Return the 2D determinant between Z and X elements
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INPUT : VectA, VectB: address of sl12_3D_tdstVector
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OUTPUT : DetZX |VectA, VectB| : SCA_td_sl12
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=======================================================================================*/
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#define sl12_3D_M_xDetZXVector( VectA, VectB ) MTH3D_M_xDetZXVector( VectA, VectB )
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/* ##M==================================================================================
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NAME : sl12_3D_M_bIsNullVector
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DESCRIPTION : Test if a vector is null
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INPUT : VectA : address of sl12_3D_tdstVector
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OUTPUT : VectA==Null vector : Boolean
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=======================================================================================*/
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#define sl12_3D_M_bIsNullVector( VectA ) MTH3D_M_bIsNullVector( VectA )
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/* ##M==================================================================================
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NAME : sl12_3D_M_vMulAddVector
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DESCRIPTION : Multiply a scalar to a vector, and add it to a other vector: VectDest = x.VectA + VectB
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INPUT : VectDest: address of sl12_3D_tdstVector,
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x: SCA_td_sl12, VectA, VectB : address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vMulAddVector( VectDest, x, VectA, VectB) MTH3D_M_vMulAddVector( VectDest, x, VectA, VectB)
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/* sl12_3D_M_vMullAddVector( VectDest, x, VectA, VectB) : VectDest = x.VectA + VectB */
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#define sl12_3D_M_vMullAddVector sl12_3D_M_vMulAddVector
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/* ##M==================================================================================
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NAME : sl12_3D_M_vSetBaseIVector
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DESCRIPTION : Set a vector to Ox base vector : VectDest = ( 1, 0, 0 )
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INPUT : VectDest: address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vSetBaseIVector( VectDest ) MTH3D_M_vSetBaseIVector( VectDest )
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/* ##M==================================================================================
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NAME : sl12_3D_M_vSetBaseJVector
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DESCRIPTION : Set a vector to Oy base vector : VectDest = ( 0, 1, 0 )
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INPUT : VectDest: address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vSetBaseJVector( VectDest ) MTH3D_M_vSetBaseJVector( VectDest )
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/* ##M==================================================================================
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NAME : sl12_3D_M_vSetBaseKVector
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DESCRIPTION : Set a vector to Oz base vector : VectDest = ( 0, 0, 1 )
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INPUT : VectDest: address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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#define sl12_3D_M_vSetBaseKVector( VectDest ) MTH3D_M_vSetBaseKVector( VectDest )
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/* ##M==================================================================================
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NAME : sl12_3D_M_vPrintfVector
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DESCRIPTION : Print a Vector : Name + its values
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INPUT : Name : string
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VectA : address of sl12_3D_tdstVector
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OUTPUT : void
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=======================================================================================*/
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__inline void Pf_sl12(td_sl12 _xValue)
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{
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printf( " %e",_xValue );
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}
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__inline void sl12_3D_fn_vPrintfVector( char * Name, sl12_3D_tdstVector * VectA)
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{
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MTH3D_M_vPrintfVector( Name, VectA );
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}
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#define sl12_3D_M_vPrintfVector( Name, VectA) sl12_3D_fn_vPrintfVector( Name, VectA)
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#endif /* sl12_3D_H */
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