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0032289: Visualization - add NCollection_Mat3 for 3x3 matrix similar to NCollection_Mat4
Introduced NCollection_Mat3 class similar to NCollection_Mat4. Added NCollection_Mat4::operator() alias to NCollection_Mat4::Value(). Added NCollection_Mat4::Negated(), ::Subtracted(), ::Added(), ::Divided() operations. Added a note to NCollection_Mat4::GetData() that matrix values are stored in column-major order. Removed duplicated operator== operators from NCollection_Mat4/NCollection_Vec4/NCollection_Vec3/NCollection_Vec2 classes. Removed obsolete and no more used matrix state fields from OpenGl_Workspace. Removed obsoiete structure OpenGl_Matrix (replaced by OpenGl_Mat4). OpenGl_ShaderProgram - duplicated methods have been replaced by templates.
This commit is contained in:
@@ -17,17 +17,15 @@
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#define _NCollection_Mat4_HeaderFile
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#include <NCollection_Vec4.hxx>
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#include <Standard_Dump.hxx>
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#include <Standard_OStream.hxx>
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#include <NCollection_Mat3.hxx>
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//! Generic matrix of 4 x 4 elements.
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//! To be used in conjunction with NCollection_Vec4 entities.
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//! Originally introduced for 3D space projection and orientation
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//! operations.
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//! Originally introduced for 3D space projection and orientation operations.
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//! Warning, empty constructor returns an identity matrix.
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template<typename Element_t>
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class NCollection_Mat4
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{
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public:
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//! Get number of rows.
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@@ -44,8 +42,23 @@ public:
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return 4;
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}
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//! Return identity matrix.
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static NCollection_Mat4 Identity()
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{
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return NCollection_Mat4();
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}
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//! Return zero matrix.
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static NCollection_Mat4 Zero()
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{
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NCollection_Mat4 aMat; aMat.InitZero();
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return aMat;
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}
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public:
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//! Empty constructor.
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//! Construct the zero matrix.
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//! Construct the identity matrix.
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NCollection_Mat4()
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{
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InitIdentity();
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@@ -63,7 +76,7 @@ public:
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}
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//! Get element at the specified row and column.
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//! @param theRow [in] the row.to address.
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//! @param theRow [in] the row to address.
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//! @param theCol [in] the column to address.
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//! @return the value of the addressed element.
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Element_t GetValue (const size_t theRow, const size_t theCol) const
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@@ -72,7 +85,7 @@ public:
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}
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//! Access element at the specified row and column.
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//! @param theRow [in] the row.to access.
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//! @param theRow [in] the row to access.
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//! @param theCol [in] the column to access.
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//! @return reference on the matrix element.
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Element_t& ChangeValue (const size_t theRow, const size_t theCol)
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@@ -83,7 +96,7 @@ public:
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//! Set value for the element specified by row and columns.
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//! @param theRow [in] the row to change.
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//! @param theCol [in] the column to change.
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//! @param theValue [in] the value to set.s
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//! @param theValue [in] the value to set.
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void SetValue (const size_t theRow,
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const size_t theCol,
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const Element_t theValue)
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@@ -91,6 +104,12 @@ public:
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myMat[theCol * 4 + theRow] = theValue;
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}
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//! Return value.
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Element_t& operator() (const size_t theRow, const size_t theCol) { return ChangeValue (theRow, theCol); }
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//! Return value.
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Element_t operator() (const size_t theRow, const size_t theCol) const { return GetValue (theRow, theCol); }
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//! Get vector of elements for the specified row.
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//! @param theRow [in] the row to access.
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//! @return vector of elements.
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@@ -158,7 +177,7 @@ public:
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}
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//! Get vector of diagonal elements.
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//! \return vector of diagonal elements.
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//! @return vector of diagonal elements.
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NCollection_Vec4<Element_t> GetDiagonal() const
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{
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return NCollection_Vec4<Element_t> (GetValue (0, 0),
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@@ -186,16 +205,38 @@ public:
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SetValue (3, 3, theVec.w());
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}
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//! Return 3x3 sub-matrix.
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NCollection_Mat3<Element_t> GetMat3() const
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{
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NCollection_Mat3<Element_t> aMat;
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aMat.SetColumn (0, GetColumn (0).xyz());
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aMat.SetColumn (1, GetColumn (1).xyz());
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aMat.SetColumn (2, GetColumn (2).xyz());
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return aMat;
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}
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//! Initialize the zero matrix.
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void InitZero()
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{
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std::memcpy (this, MyZeroArray, sizeof (NCollection_Mat4));
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}
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//! Checks the matrix for zero (without tolerance).
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bool IsZero() const
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{
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return std::memcmp (this, MyZeroArray, sizeof (NCollection_Mat4)) == 0;
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}
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//! Initialize the identity matrix.
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void InitIdentity()
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{
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std::memcpy (this, myIdentityArray, sizeof (NCollection_Mat4));
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std::memcpy (this, MyIdentityArray, sizeof (NCollection_Mat4));
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}
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//! Checks the matrix for identity.
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//! Checks the matrix for identity (without tolerance).
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bool IsIdentity() const
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{
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return std::memcmp (this, myIdentityArray, sizeof (NCollection_Mat4)) == 0;
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return std::memcmp (this, MyIdentityArray, sizeof (NCollection_Mat4)) == 0;
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}
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//! Check this matrix for equality with another matrix (without tolerance!).
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@@ -205,18 +246,15 @@ public:
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}
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//! Check this matrix for equality with another matrix (without tolerance!).
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bool operator== (const NCollection_Mat4& theOther) { return IsEqual (theOther); }
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bool operator== (const NCollection_Mat4& theOther) const { return IsEqual (theOther); }
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//! Check this matrix for non-equality with another matrix (without tolerance!).
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bool operator!= (const NCollection_Mat4& theOther) { return !IsEqual (theOther); }
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bool operator!= (const NCollection_Mat4& theOther) const { return !IsEqual (theOther); }
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//! Raw access to the data (for OpenGL exchange).
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//! Raw access to the data (for OpenGL exchange);
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//! the data is returned in column-major order.
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const Element_t* GetData() const { return myMat; }
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Element_t* ChangeData() { return myMat; }
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operator const Element_t*() const { return myMat; }
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operator Element_t*() { return myMat; }
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//! Multiply by the vector (M * V).
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//! @param theVec [in] the vector to multiply.
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@@ -232,19 +270,19 @@ public:
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//! Compute matrix multiplication product: A * B.
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//! @param theMatA [in] the matrix "A".
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//! @param theMatB [in] the matrix "B".
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NCollection_Mat4 Multiply (const NCollection_Mat4& theMatA,
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const NCollection_Mat4& theMatB)
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static NCollection_Mat4 Multiply (const NCollection_Mat4& theMatA,
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const NCollection_Mat4& theMatB)
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{
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NCollection_Mat4 aMatRes;
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size_t aInputElem;
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for (size_t aResElem = 0; aResElem < 16; ++aResElem)
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{
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aMatRes[aResElem] = (Element_t )0;
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aMatRes.myMat[aResElem] = (Element_t )0;
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for (aInputElem = 0; aInputElem < 4; ++aInputElem)
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{
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aMatRes[aResElem] += theMatA.GetValue(aResElem % 4, aInputElem)
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* theMatB.GetValue(aInputElem, aResElem / 4);
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aMatRes.myMat[aResElem] += theMatA.GetValue(aResElem % 4, aInputElem)
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* theMatB.GetValue(aInputElem, aResElem / 4);
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}
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}
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@@ -269,7 +307,7 @@ public:
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//! Compute matrix multiplication product.
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//! @param theMat [in] the other matrix.
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//! @return result of multiplication.
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NCollection_Mat4 operator* (const NCollection_Mat4& theMat) const
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Standard_NODISCARD NCollection_Mat4 operator* (const NCollection_Mat4& theMat) const
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{
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return Multiplied (theMat);
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}
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@@ -277,7 +315,7 @@ public:
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//! Compute matrix multiplication product.
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//! @param theMat [in] the other matrix.
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//! @return result of multiplication.
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NCollection_Mat4 Multiplied (const NCollection_Mat4& theMat) const
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Standard_NODISCARD NCollection_Mat4 Multiplied (const NCollection_Mat4& theMat) const
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{
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NCollection_Mat4 aTempMat (*this);
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aTempMat *= theMat;
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@@ -296,7 +334,7 @@ public:
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//! Compute per-element multiplication.
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//! @param theFactor [in] the scale factor.
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NCollection_Mat4& operator*=(const Element_t theFactor)
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NCollection_Mat4& operator*= (const Element_t theFactor)
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{
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Multiply (theFactor);
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return *this;
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@@ -304,22 +342,122 @@ public:
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//! Compute per-element multiplication.
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//! @param theFactor [in] the scale factor.
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//! @return the result of multiplicaton.
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NCollection_Mat4 operator* (const Element_t theFactor) const
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//! @return the result of multiplication.
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Standard_NODISCARD NCollection_Mat4 operator* (const Element_t theFactor) const
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{
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return Multiplied (theFactor);
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}
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//! Compute per-element multiplication.
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//! @param theFactor [in] the scale factor.
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//! @return the result of multiplicaton.
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NCollection_Mat4 Multiplied (const Element_t theFactor) const
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//! @return the result of multiplication.
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Standard_NODISCARD NCollection_Mat4 Multiplied (const Element_t theFactor) const
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{
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NCollection_Mat4 aTempMat (*this);
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aTempMat *= theFactor;
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return aTempMat;
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}
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//! Compute per-component division.
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//! @param theFactor [in] the scale factor.
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void Divide (const Element_t theFactor)
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{
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for (size_t i = 0; i < 16; ++i)
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{
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myMat[i] /= theFactor;
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}
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}
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//! Per-component division.
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//! @param theScalar [in] the scale factor.
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NCollection_Mat4& operator/= (const Element_t theScalar)
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{
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Divide (theScalar);
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return *this;
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}
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//! Divides all the coefficients of the matrix by scalar.
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Standard_NODISCARD NCollection_Mat4 Divided (const Element_t theScalar) const
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{
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NCollection_Mat4 aTempMat (*this);
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aTempMat /= theScalar;
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return aTempMat;
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}
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//! Divides all the coefficients of the matrix by scalar.
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Standard_NODISCARD NCollection_Mat4 operator/ (const Element_t theScalar) const
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{
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return Divided (theScalar);
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}
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//! Per-component addition of another matrix.
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void Add (const NCollection_Mat4& theMat)
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{
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for (size_t i = 0; i < 16; ++i)
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{
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myMat[i] += theMat.myMat[i];
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}
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}
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//! Per-component addition of another matrix.
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NCollection_Mat4& operator+= (const NCollection_Mat4& theMat)
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{
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Add (theMat);
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return *this;
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}
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//! Per-component subtraction of another matrix.
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void Subtract (const NCollection_Mat4& theMat)
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{
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for (size_t i = 0; i < 16; ++i)
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{
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myMat[i] -= theMat.myMat[i];
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}
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}
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//! Per-component subtraction of another matrix.
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NCollection_Mat4& operator-= (const NCollection_Mat4& theMat)
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{
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Subtract (theMat);
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return *this;
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}
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//! Per-component addition of another matrix.
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Standard_NODISCARD NCollection_Mat4 Added (const NCollection_Mat4& theMat) const
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{
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NCollection_Mat4 aMat (*this);
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aMat += theMat;
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return aMat;
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}
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//! Per-component addition of another matrix.
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Standard_NODISCARD NCollection_Mat4 operator+ (const NCollection_Mat4& theMat) const { return Added (theMat); }
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//! Per-component subtraction of another matrix.
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Standard_NODISCARD NCollection_Mat4 Subtracted (const NCollection_Mat4& theMat) const
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{
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NCollection_Mat4 aMat (*this);
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aMat -= theMat;
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return aMat;
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}
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//! Per-component subtraction of another matrix.
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Standard_NODISCARD NCollection_Mat4 operator- (const NCollection_Mat4& theMat) const { return Subtracted (theMat); }
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//! Returns matrix with all components negated.
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Standard_NODISCARD NCollection_Mat4 Negated() const
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{
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NCollection_Mat4 aMat;
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for (size_t i = 0; i < 16; ++i)
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{
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aMat.myMat[i] = -myMat[i];
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}
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return aMat;
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}
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//! Returns matrix with all components negated.
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Standard_NODISCARD NCollection_Mat4 operator-() const { return Negated(); }
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//! Translate the matrix on the passed vector.
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//! @param theVec [in] the translation vector.
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void Translate (const NCollection_Vec3<Element_t>& theVec)
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@@ -331,7 +469,7 @@ public:
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//! Transpose the matrix.
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//! @return transposed copy of the matrix.
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NCollection_Mat4 Transposed() const
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Standard_NODISCARD NCollection_Mat4 Transposed() const
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{
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NCollection_Mat4 aTempMat;
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aTempMat.SetRow (0, GetColumn (0));
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@@ -348,9 +486,10 @@ public:
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}
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//! Compute inverted matrix.
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//! @param theOutMx [out] the inverted matrix.
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//! @return true if reversion success.
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bool Inverted (NCollection_Mat4<Element_t>& theOutMx) const
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//! @param theOutMx [out] the inverted matrix
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//! @param theDet [out] determinant of matrix
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//! @return true if reversion success
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bool Inverted (NCollection_Mat4<Element_t>& theOutMx, Element_t& theDet) const
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{
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Element_t* inv = theOutMx.myMat;
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@@ -421,22 +560,54 @@ public:
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m[ 4] * (m[ 1] * m[10] - m[ 2] * m[ 9]) -
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m[ 8] * (m[ 2] * m[ 5] - m[ 1] * m[ 6]);
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Element_t aDet = m[0] * inv[ 0] +
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m[1] * inv[ 4] +
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m[2] * inv[ 8] +
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m[3] * inv[12];
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if (aDet == 0)
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theDet = m[0] * inv[ 0] +
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m[1] * inv[ 4] +
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m[2] * inv[ 8] +
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m[3] * inv[12];
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if (theDet == 0)
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{
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return false;
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}
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aDet = (Element_t) 1. / aDet;
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const Element_t aDiv = (Element_t) 1. / theDet;
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for (int i = 0; i < 16; ++i)
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inv[i] *= aDet;
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{
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inv[i] *= aDiv;
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}
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return true;
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}
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//! Compute inverted matrix.
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//! @param theOutMx [out] the inverted matrix
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//! @return true if reversion success
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bool Inverted (NCollection_Mat4<Element_t>& theOutMx) const
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{
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Element_t aDet;
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return Inverted (theOutMx, aDet);
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}
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//! Return inverted matrix.
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NCollection_Mat4 Inverted() const
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{
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NCollection_Mat4 anInv;
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if (!Inverted (anInv))
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{
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throw Standard_ConstructionError ("NCollection_Mat4::Inverted() - matrix has zero determinant");
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}
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return anInv;
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}
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//! Return adjoint (adjugate matrix, e.g. conjugate transpose).
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Standard_NODISCARD NCollection_Mat4<Element_t> Adjoint() const
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{
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NCollection_Mat4<Element_t> aMat;
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aMat.SetRow (0, crossVec4 ( GetRow (1), GetRow (2), GetRow (3)));
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aMat.SetRow (1, crossVec4 (-GetRow (0), GetRow (2), GetRow (3)));
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aMat.SetRow (2, crossVec4 ( GetRow (0), GetRow (1), GetRow (3)));
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aMat.SetRow (3, crossVec4 (-GetRow (0), GetRow (1), GetRow (2)));
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return aMat;
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}
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//! Take values from NCollection_Mat4 with a different element type with type conversion.
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template <typename Other_t>
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void ConvertFrom (const NCollection_Mat4<Other_t>& theFrom)
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@@ -473,13 +644,36 @@ public:
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GetValue (3, 0), GetValue (3, 1), GetValue (3, 2), GetValue (3, 3))
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}
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private:
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//! Cross-product has no direct meaning in 4D space - provided for local usage.
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static NCollection_Vec4<Element_t> crossVec4 (const NCollection_Vec4<Element_t>& theA,
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const NCollection_Vec4<Element_t>& theB,
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const NCollection_Vec4<Element_t>& theC)
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{
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const Element_t aD1 = (theB.z() * theC.w()) - (theB.w() * theC.z());
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const Element_t aD2 = (theB.y() * theC.w()) - (theB.w() * theC.y());
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const Element_t aD3 = (theB.y() * theC.z()) - (theB.z() * theC.y());
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const Element_t aD4 = (theB.x() * theC.w()) - (theB.w() * theC.x());
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const Element_t aD5 = (theB.x() * theC.z()) - (theB.z() * theC.x());
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const Element_t aD6 = (theB.x() * theC.y()) - (theB.y() * theC.x());
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NCollection_Vec4<Element_t> aVec;
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aVec.x() = -theA.y() * aD1 + theA.z() * aD2 - theA.w() * aD3;
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aVec.y() = theA.x() * aD1 - theA.z() * aD4 + theA.w() * aD5;
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aVec.z() = -theA.x() * aD2 + theA.y() * aD4 - theA.w() * aD6;
|
||||
aVec.w() = theA.x() * aD3 - theA.y() * aD5 + theA.z() * aD6;
|
||||
return aVec;
|
||||
}
|
||||
|
||||
private:
|
||||
|
||||
Element_t myMat[16];
|
||||
|
||||
private:
|
||||
|
||||
static Element_t myIdentityArray[16];
|
||||
static const Element_t MyZeroArray[16];
|
||||
static const Element_t MyIdentityArray[16];
|
||||
|
||||
// All instantiations are friend to each other
|
||||
template<class OtherType> friend class NCollection_Mat4;
|
||||
@@ -487,7 +681,14 @@ private:
|
||||
};
|
||||
|
||||
template<typename Element_t>
|
||||
Element_t NCollection_Mat4<Element_t>::myIdentityArray[] =
|
||||
const Element_t NCollection_Mat4<Element_t>::MyZeroArray[] =
|
||||
{0, 0, 0, 0,
|
||||
0, 0, 0, 0,
|
||||
0, 0, 0, 0,
|
||||
0, 0, 0, 0};
|
||||
|
||||
template<typename Element_t>
|
||||
const Element_t NCollection_Mat4<Element_t>::MyIdentityArray[] =
|
||||
{1, 0, 0, 0,
|
||||
0, 1, 0, 0,
|
||||
0, 0, 1, 0,
|
||||
@@ -498,6 +699,7 @@ Element_t NCollection_Mat4<Element_t>::myIdentityArray[] =
|
||||
|
||||
static_assert(std::is_trivially_copyable<NCollection_Mat4<float>>::value, "NCollection_Mat4 is not is_trivially_copyable() structure!");
|
||||
static_assert(std::is_standard_layout <NCollection_Mat4<float>>::value, "NCollection_Mat4 is not is_standard_layout() structure!");
|
||||
static_assert(sizeof(NCollection_Mat4<float>) == sizeof(float)*16, "NCollection_Mat4 is not packed/aligned!");
|
||||
#endif
|
||||
|
||||
#endif // _NCollection_Mat4_HeaderFile
|
||||
|
Reference in New Issue
Block a user