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| XII_DECLARE_POD_TYPE () |
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XII_ALWAYS_INLINE Type & | Element (xiiInt32 iColumn, xiiInt32 iRow) |
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XII_ALWAYS_INLINE Type | Element (xiiInt32 iColumn, xiiInt32 iRow) const |
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| xiiMat4Template () |
| | Default Constructor DOES NOT INITIALIZE the matrix, at all.
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| | xiiMat4Template (const Type *const pData, xiiMatrixLayout::Enum layout) |
| | Copies 16 values from pData into the matrix. Can handle the data in row-major or column-major order.
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| xiiMat4Template (Type c1r1, Type c2r1, Type c3r1, Type c4r1, Type c1r2, Type c2r2, Type c3r2, Type c4r2, Type c1r3, Type c2r3, Type c3r3, Type c4r3, Type c1r4, Type c2r4, Type c3r4, Type c4r4) |
| | Sets each element manually: Naming is "column-n row-m".
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| xiiMat4Template (const xiiMat3Template< Type > &mRotation, const xiiVec3Template< Type > &vTranslation) |
| | Creates a transformation matrix from a rotation and a translation.
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void | GetAsArray (Type *out_pData, xiiMatrixLayout::Enum layout) const |
| | Copies the 16 values of this matrix into the given array. 'layout' defines whether the data should end up in column-major or row-major format.
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void | SetTransformationMatrix (const xiiMat3Template< Type > &mRotation, const xiiVec3Template< Type > &vTranslation) |
| | Sets a transformation matrix from a rotation and a translation.
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void | SetZero () |
| | Sets all elements to zero.
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void | SetIdentity () |
| | Sets all elements to zero, except the diagonal, which is set to one.
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void | Transpose () |
| | Transposes this matrix.
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const xiiMat4Template< Type > | GetTranspose () const |
| | Returns the transpose of this matrix.
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xiiResult | Invert (Type fEpsilon=xiiMath::SmallEpsilon< Type >()) |
| | Inverts this matrix. Return value indicates whether the matrix could be inverted.
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const xiiMat4Template< Type > | GetInverse (Type fEpsilon=xiiMath::SmallEpsilon< Type >()) const |
| | Returns the inverse of this matrix.
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bool | IsZero (Type fEpsilon=xiiMath::DefaultEpsilon< Type >()) const |
| | Checks whether all elements are zero.
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bool | IsIdentity (Type fEpsilon=xiiMath::DefaultEpsilon< Type >()) const |
| | Checks whether this is an identity matrix.
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bool | IsValid () const |
| | Checks whether all components are finite numbers.
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bool | IsNaN () const |
| | Checks whether any component is NaN.
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xiiVec4Template< Type > | GetRow (xiiUInt32 uiRow) const |
| | Returns all 4 components of the i-th row.
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void | SetRow (xiiUInt32 uiRow, const xiiVec4Template< Type > &vRow) |
| | Sets all 4 components of the i-th row.
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xiiVec4Template< Type > | GetColumn (xiiUInt32 uiColumn) const |
| | Returns all 4 components of the i-th column.
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void | SetColumn (xiiUInt32 uiColumn, const xiiVec4Template< Type > &vColumn) |
| | Sets all 4 components of the i-th column.
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xiiVec4Template< Type > | GetDiagonal () const |
| | Returns all 4 components on the diagonal of the matrix.
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void | SetDiagonal (const xiiVec4Template< Type > &vDiag) |
| | Sets all 4 components on the diagonal of the matrix.
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const xiiVec3Template< Type > | GetTranslationVector () const |
| | Returns the first 3 components of the last column.
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void | SetTranslationVector (const xiiVec3Template< Type > &v) |
| | Sets the first 3 components of the last column.
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void | SetRotationalPart (const xiiMat3Template< Type > &mRotation) |
| | Sets the 3x3 rotational part of the matrix.
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const xiiMat3Template< Type > | GetRotationalPart () const |
| | Returns the 3x3 rotational and scaling part of the matrix.
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const xiiVec3Template< Type > | GetScalingFactors () const |
| | Returns the 3 scaling factors that are encoded in the matrix.
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xiiResult | SetScalingFactors (const xiiVec3Template< Type > &vXYZ, Type fEpsilon=xiiMath::DefaultEpsilon< Type >()) |
| | Tries to set the three scaling factors in the matrix. Returns XII_FAILURE if the matrix columns cannot be normalized and thus no rescaling is possible.
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const xiiVec3Template< Type > | TransformPosition (const xiiVec3Template< Type > &v) const |
| | Matrix-vector multiplication, assuming the 4th component of the vector is one (default behavior).
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void | TransformPosition (xiiVec3Template< Type > *pV, xiiUInt32 uiNumVectors, xiiUInt32 uiStride=sizeof(xiiVec3Template< Type >)) const |
| | Matrix-vector multiplication, assuming the 4th component of the vector is one (default behavior).
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const xiiVec3Template< Type > | TransformDirection (const xiiVec3Template< Type > &v) const |
| | Matrix-vector multiplication, assuming the 4th component of the vector is zero. So, rotation/scaling only. Useful as an optimization.
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void | TransformDirection (xiiVec3Template< Type > *pV, xiiUInt32 uiNumVectors, xiiUInt32 uiStride=sizeof(xiiVec3Template< Type >)) const |
| | Matrix-vector multiplication, assuming the 4th component of the vector is zero. So, rotation/scaling only. Useful as an optimization.
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const xiiVec4Template< Type > | Transform (const xiiVec4Template< Type > &v) const |
| | Matrix-vector multiplication.
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void | Transform (xiiVec4Template< Type > *pV, xiiUInt32 uiNumVectors, xiiUInt32 uiStride=sizeof(xiiVec4Template< Type >)) const |
| | Matrix-vector multiplication.
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void | operator*= (Type f) |
| | Component-wise multiplication (commutative)
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void | operator/= (Type f) |
| | Component-wise division.
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bool | IsIdentical (const xiiMat4Template< Type > &rhs) const |
| | Equality Check.
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bool | IsEqual (const xiiMat4Template< Type > &rhs, Type fEpsilon) const |
| | Equality Check with epsilon.
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static xiiMat4Template< Type > | MakeZero () |
| | Returns a zero matrix.
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static xiiMat4Template< Type > | MakeIdentity () |
| | Returns an identity matrix.
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static xiiMat4Template< Type > | MakeFromRowMajorArray (const Type *const pData) |
| | Creates a matrix from 16 values that are in row-major layout.
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static xiiMat4Template< Type > | MakeFromColumnMajorArray (const Type *const pData) |
| | Creates a matrix from 16 values that are in column-major layout.
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static xiiMat4Template< Type > | MakeFromValues (Type c1r1, Type c2r1, Type c3r1, Type c4r1, Type c1r2, Type c2r2, Type c3r2, Type c4r2, Type c1r3, Type c2r3, Type c3r3, Type c4r3, Type c1r4, Type c2r4, Type c3r4, Type c4r4) |
| | Creates a matrix from 16 values. Naming is "column-n row-m".
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static xiiMat4Template< Type > | MakeTranslation (const xiiVec3Template< Type > &vTranslation) |
| | Creates a matrix with all zero values, except the last column, which is set to x, y, z, 1.
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static xiiMat4Template< Type > | MakeTransformation (const xiiMat3Template< Type > &mRotation, const xiiVec3Template< Type > &vTranslation) |
| | Creates a transformation matrix from a rotation and a translation.
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static xiiMat4Template< Type > | MakeScaling (const xiiVec3Template< Type > &vScale) |
| | Creates a matrix with all zero values, except along the diagonal, which is set to x, y, z, 1.
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static xiiMat4Template< Type > | MakeRotationX (xiiAngleTemplate< Type > angle) |
| | Creates a matrix that is a rotation matrix around the X-axis.
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static xiiMat4Template< Type > | MakeRotationY (xiiAngleTemplate< Type > angle) |
| | Creates a matrix that is a rotation matrix around the Y-axis.
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static xiiMat4Template< Type > | MakeRotationZ (xiiAngleTemplate< Type > angle) |
| | Creates a matrix that is a rotation matrix around the Z-axis.
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static xiiMat4Template< Type > | MakeAxisRotation (const xiiVec3Template< Type > &vAxis, xiiAngleTemplate< Type > angle) |
| | Creates a matrix that is a rotation matrix around the given axis.
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template<typename Type>
class xiiMat4Template< Type >
A 4x4 component matrix class.
1.13.2