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Operations on Matrices
======================
.. highlight :: cpp
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gpu::gemm
------------------
Performs generalized matrix multiplication.
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.. ocv:function :: void gpu::gemm(const GpuMat& src1, const GpuMat& src2, double alpha, const GpuMat& src3, double beta, GpuMat& dst, int flags = 0, Stream& stream = Stream::Null())
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:param src1: First multiplied input matrix that should have ``CV_32FC1`` , ``CV_64FC1`` , ``CV_32FC2`` , or ``CV_64FC2`` type.
:param src2: Second multiplied input matrix of the same type as ``src1`` .
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:param alpha: Weight of the matrix product.
:param src3: Third optional delta matrix added to the matrix product. It should have the same type as ``src1`` and ``src2`` .
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:param beta: Weight of ``src3`` .
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:param dst: Destination matrix. It has the proper size and the same type as input matrices.
:param flags: Operation flags:
* **GEMM_1_T** transpose `` src1 ``
* **GEMM_2_T** transpose `` src2 ``
* **GEMM_3_T** transpose `` src3 ``
:param stream: Stream for the asynchronous version.
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The function performs generalized matrix multiplication similar to the `` gemm `` functions in BLAS level 3. For example, `` gemm(src1, src2, alpha, src3, beta, dst, GEMM_1_T + GEMM_3_T) `` corresponds to
.. math ::
\texttt{dst} = \texttt{alpha} \cdot \texttt{src1} ^T \cdot \texttt{src2} + \texttt{beta} \cdot \texttt{src3} ^T
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.. note :: Transposition operation doesn't support `` CV_64FC2 `` input type.
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.. seealso :: :ocv:func: `gemm`
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gpu::transpose
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------------------
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Transposes a matrix.
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.. ocv:function :: void gpu::transpose( const GpuMat& src1, GpuMat& dst, Stream& stream=Stream::Null() )
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:param src1: Source matrix. 1-, 4-, 8-byte element sizes are supported for now (CV_8UC1, CV_8UC4, CV_16UC2, CV_32FC1, etc).
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:param dst: Destination matrix.
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:param stream: Stream for the asynchronous version.
.. seealso :: :ocv:func: `transpose`
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gpu::flip
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-------------
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Flips a 2D matrix around vertical, horizontal, or both axes.
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.. ocv:function :: void gpu::flip( const GpuMat& a, GpuMat& b, int flipCode, Stream& stream=Stream::Null() )
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:param a: Source matrix. Supports 1, 3 and 4 channels images with ``CV_8U``, ``CV_16U``, ``CV_32S`` or ``CV_32F`` depth.
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:param b: Destination matrix.
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:param flipCode: Flip mode for the source:
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* `` 0 `` Flips around x-axis.
* `` >0 `` Flips around y-axis.
* `` <0 `` Flips around both axes.
:param stream: Stream for the asynchronous version.
.. seealso :: :ocv:func: `flip`
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gpu::LUT
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------------
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Transforms the source matrix into the destination matrix using the given look-up table: `` dst(I) = lut(src(I)) ``
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.. ocv:function :: void gpu::LUT(const GpuMat& src, const Mat& lut, GpuMat& dst, Stream& stream = Stream::Null())
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:param src: Source matrix. ``CV_8UC1`` and ``CV_8UC3`` matrices are supported for now.
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:param lut: Look-up table of 256 elements. It is a continuous ``CV_8U`` matrix.
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:param dst: Destination matrix with the same depth as ``lut`` and the same number of channels as ``src`` .
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:param stream: Stream for the asynchronous version.
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.. seealso :: :ocv:func: `LUT`
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gpu::merge
--------------
Makes a multi-channel matrix out of several single-channel matrices.
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.. ocv:function :: void gpu::merge(const GpuMat* src, size_t n, GpuMat& dst, Stream& stream = Stream::Null())
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.. ocv:function :: void gpu::merge(const vector<GpuMat>& src, GpuMat& dst, Stream& stream = Stream::Null())
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:param src: Array/vector of source matrices.
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:param n: Number of source matrices.
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:param dst: Destination matrix.
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:param stream: Stream for the asynchronous version.
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.. seealso :: :ocv:func: `merge`
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gpu::split
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--------------
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Copies each plane of a multi-channel matrix into an array.
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.. ocv:function :: void gpu::split(const GpuMat& src, GpuMat* dst, Stream& stream = Stream::Null())
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.. ocv:function :: void gpu::split(const GpuMat& src, vector<GpuMat>& dst, Stream& stream = Stream::Null())
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:param src: Source matrix.
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:param dst: Destination array/vector of single-channel matrices.
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:param stream: Stream for the asynchronous version.
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.. seealso :: :ocv:func: `split`
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gpu::magnitude
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------------------
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Computes magnitudes of complex matrix elements.
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.. ocv:function :: void gpu::magnitude( const GpuMat& xy, GpuMat& magnitude, Stream& stream=Stream::Null() )
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.. ocv:function :: void gpu::magnitude(const GpuMat& x, const GpuMat& y, GpuMat& magnitude, Stream& stream = Stream::Null())
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:param xy: Source complex matrix in the interleaved format ( ``CV_32FC2`` ).
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:param x: Source matrix containing real components ( ``CV_32FC1`` ).
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:param y: Source matrix containing imaginary components ( ``CV_32FC1`` ).
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:param magnitude: Destination matrix of float magnitudes ( ``CV_32FC1`` ).
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:param stream: Stream for the asynchronous version.
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.. seealso :: :ocv:func: `magnitude`
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gpu::magnitudeSqr
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---------------------
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Computes squared magnitudes of complex matrix elements.
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.. ocv:function :: void gpu::magnitudeSqr( const GpuMat& xy, GpuMat& magnitude, Stream& stream=Stream::Null() )
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.. ocv:function :: void gpu::magnitudeSqr(const GpuMat& x, const GpuMat& y, GpuMat& magnitude, Stream& stream = Stream::Null())
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:param xy: Source complex matrix in the interleaved format ( ``CV_32FC2`` ).
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:param x: Source matrix containing real components ( ``CV_32FC1`` ).
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:param y: Source matrix containing imaginary components ( ``CV_32FC1`` ).
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:param magnitude: Destination matrix of float magnitude squares ( ``CV_32FC1`` ).
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:param stream: Stream for the asynchronous version.
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gpu::phase
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--------------
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Computes polar angles of complex matrix elements.
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.. ocv:function :: void gpu::phase(const GpuMat& x, const GpuMat& y, GpuMat& angle, bool angleInDegrees=false, Stream& stream = Stream::Null())
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:param x: Source matrix containing real components ( ``CV_32FC1`` ).
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:param y: Source matrix containing imaginary components ( ``CV_32FC1`` ).
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:param angle: Destination matrix of angles ( ``CV_32FC1`` ).
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:param angleInDegrees: Flag for angles that must be evaluated in degrees.
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:param stream: Stream for the asynchronous version.
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.. seealso :: :ocv:func: `phase`
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gpu::cartToPolar
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--------------------
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Converts Cartesian coordinates into polar.
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.. ocv:function :: void gpu::cartToPolar(const GpuMat& x, const GpuMat& y, GpuMat& magnitude, GpuMat& angle, bool angleInDegrees=false, Stream& stream = Stream::Null())
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:param x: Source matrix containing real components ( ``CV_32FC1`` ).
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:param y: Source matrix containing imaginary components ( ``CV_32FC1`` ).
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:param magnitude: Destination matrix of float magnitudes ( ``CV_32FC1`` ).
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:param angle: Destination matrix of angles ( ``CV_32FC1`` ).
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:param angleInDegrees: Flag for angles that must be evaluated in degrees.
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:param stream: Stream for the asynchronous version.
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.. seealso :: :ocv:func: `cartToPolar`
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gpu::polarToCart
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--------------------
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Converts polar coordinates into Cartesian.
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.. ocv:function :: void gpu::polarToCart(const GpuMat& magnitude, const GpuMat& angle, GpuMat& x, GpuMat& y, bool angleInDegrees=false, Stream& stream = Stream::Null())
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:param magnitude: Source matrix containing magnitudes ( ``CV_32FC1`` ).
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:param angle: Source matrix containing angles ( ``CV_32FC1`` ).
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:param x: Destination matrix of real components ( ``CV_32FC1`` ).
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:param y: Destination matrix of imaginary components ( ``CV_32FC1`` ).
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:param angleInDegrees: Flag that indicates angles in degrees.
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:param stream: Stream for the asynchronous version.
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.. seealso :: :ocv:func: `polarToCart`