From 4af032c0050b9c0c3ac6403bfc65ac95af02c753 Mon Sep 17 00:00:00 2001 From: cliffburdick Date: Wed, 5 Jul 2023 14:32:13 -0700 Subject: [PATCH 1/2] Added upsample and downsample operators --- .../api/signalimage/general/chirp.rst | 4 +- .../api/signalimage/general/downsample.rst | 17 + .../api/signalimage/general/upsample.rst | 17 + docs/_sources/quickstart.rst | 48 +- docs/api/casting/as_double.html | 2 + docs/api/casting/as_float.html | 2 + docs/api/casting/as_int16.html | 2 + docs/api/casting/as_int32.html | 2 + docs/api/casting/as_int8.html | 2 + docs/api/casting/as_type.html | 2 + docs/api/casting/as_uint16.html | 2 + docs/api/casting/as_uint32.html | 2 + docs/api/casting/as_uint8.html | 2 + docs/api/casting/index.html | 2 + docs/api/creation/index.html | 2 + docs/api/creation/operators/alternate.html | 2 + docs/api/creation/operators/diag.html | 2 + docs/api/creation/operators/eye.html | 2 + docs/api/creation/operators/index.html | 2 + docs/api/creation/operators/linspace.html | 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docs/api/signalimage/general/upsample.html create mode 100644 docs_input/api/signalimage/general/downsample.rst create mode 100644 docs_input/api/signalimage/general/upsample.rst create mode 100644 include/matx/operators/updownsample.h diff --git a/docs/_sources/api/signalimage/general/chirp.rst b/docs/_sources/api/signalimage/general/chirp.rst index 9504d48c0..0b79d675a 100644 --- a/docs/_sources/api/signalimage/general/chirp.rst +++ b/docs/_sources/api/signalimage/general/chirp.rst @@ -1,7 +1,7 @@ .. _chirp_func: chirp -========= +===== Creates a real chirp signal (swept-frequency cosine) @@ -19,7 +19,7 @@ Examples cchirp -========= +====== Creates a complex chirp signal (swept-frequency cosine) diff --git a/docs/_sources/api/signalimage/general/downsample.rst b/docs/_sources/api/signalimage/general/downsample.rst new file mode 100644 index 000000000..7304bdfdf --- /dev/null +++ b/docs/_sources/api/signalimage/general/downsample.rst @@ -0,0 +1,17 @@ +.. _downsample_func: + +downsample +========== + +downsample a signal by dropping samples + +.. doxygenfunction:: downsample + +Examples +~~~~~~~~ + +.. literalinclude:: ../../../../test/00_operators/OperatorTests.cu + :language: cpp + :start-after: example-begin downsample-test-1 + :end-before: example-end downsample-test-1 + :dedent: diff --git a/docs/_sources/api/signalimage/general/upsample.rst b/docs/_sources/api/signalimage/general/upsample.rst new file mode 100644 index 000000000..ab9c70925 --- /dev/null +++ b/docs/_sources/api/signalimage/general/upsample.rst @@ -0,0 +1,17 @@ +.. _upsample_func: + +upsample +======== + +Upsample a signal by stuffing zeros + +.. doxygenfunction:: upsample + +Examples +~~~~~~~~ + +.. literalinclude:: ../../../../test/00_operators/OperatorTests.cu + :language: cpp + :start-after: example-begin upsample-test-1 + :end-before: example-end upsample-test-1 + :dedent: diff --git a/docs/_sources/quickstart.rst b/docs/_sources/quickstart.rst index 86b4a2932..ef36145e6 100644 --- a/docs/_sources/quickstart.rst +++ b/docs/_sources/quickstart.rst @@ -72,7 +72,7 @@ Tensors can also be initialized using initializer list syntax using the ``SetVal .. code-block:: cpp auto myT = make_tensor({3, 3}); - myT.SetVals({ {1,2,3}, {4,5,6}, {7,8,9} }); + myT.SetVals({{1,2,3}, {4,5,6}, {7,8,9}}); In other languages it's very common to initialize a tensor with a set of values on creation (ones, zeros, ranges). This will be covered later in the tutorial when we discuss operators, and it should become clear why we initialize this way. @@ -110,16 +110,16 @@ Slicing and dicing ------------------ As the name implies, ``t`` is a view into a region of memory. When the initial view is created and memory is allocated, the tensor view is of the entire 10x20 contiguous block of memory. Often we don't want to see the entire block of memory, but only want to view a subset of the -underlying data. To do this, we use the ``Slice`` member function of the view class: +underlying data. To do this, we use the ``slice`` operator: .. code-block:: cpp - auto tCube = t.Slice({3, 5}, {6, 8}); // Cube of t using rows 3-5 and cols 5-7 - auto tRectS = t.Slice({0, 0}, {matxEnd, matxEnd}, {2, 2}); // Rectangle with stride of 2 in both dimensions - auto tCol = t.Slice<1>({0, 4}, {matxEnd, matxDropDim}); // Create a 1D tensor with only column 5 - auto tRow = t.Slice<1>({4, 0}, {matxDropDim, matxEnd}); // Create a 1D tensor with only row 5 + auto tCube = slice(t, {3, 5}, {6, 8}); // Cube of t using rows 3-5 and cols 5-7 + auto tRectS = slice(t, {0, 0}, {matxEnd, matxEnd}, {2, 2}); // Rectangle with stride of 2 in both dimensions + auto tCol = slice<1>(t, {0, 4}, {matxEnd, matxDropDim}); // Create a 1D tensor with only column 5 + auto tRow = slice<1>(t, {4, 0}, {matxDropDim, matxEnd}); // Create a 1D tensor with only row 5 -``Slice`` returns a new view of the tensor using start, stop, and optional stride parameters. Since views are simply +``slice`` returns a new view of the tensor using start, stop, and optional stride parameters. Since views are simply light-weight views into memory, none of these variants modify the data; they return an object with new parameters describing how the data is viewed. The resulting variables can be used exactly as the original view above: @@ -134,27 +134,34 @@ All view functions can be used on any type of existing view: .. code-block:: cpp - auto tCubeP = t.Slice({3, 5}, {6, 8}).Permute({1, 0}); + auto tCubeP = permute(slice(t, {3, 5}, {6, 8}), {1, 0}); The above code takes the same cube as before, but permutes the cube view by swapping the two dimensions. +``slice`` is not limited to only tensors; it can be used on any operator as input: + +.. code-block:: cpp + + slice(eye(t.Shape()), {3, 5}, {6, 8}); + Permuting --------- -Permuting a tensor is done using the ``Permute`` member function of a view: +Permuting a tensor is done using the ``permute`` function: .. code-block:: cpp auto t = make_tensor({10, 20}); - auto tp = t.Permute({1,0}); + auto tp = permute(t, {1,0}); -``tp`` is now a view into ``t`` where the rows and columns are swapped (transpose). ``Permute`` is not limited to matrices, though: +``tp`` is now a view into ``t`` where the rows and columns are swapped (transpose). ``permute`` is not limited to matrices, though: .. code-block:: cpp auto t4 = make_tensor({10, 20, 5, 2}); - auto tp4 = t.Permute({1,3,2,0}); + auto tp4 = permute(t, {1,3,2,0}); -``t4p`` is now a permuted view of the original 4D tensor, but with the dimensions swapped as ordered in the initializer list. +``t4p`` is now a permuted view of the original 4D tensor, but with the dimensions swapped as ordered in the initializer list. Just like +with ``slice``, ``permute`` works on operators as well. Note that since no data is moved, permuting a tensor can be detrimental to performance, depending on the context. Permuting usually changes the strides of dimensions such that the memory access patterns are no longer optimal, and accessing the permuted view @@ -166,7 +173,13 @@ a new tensor so that the new layout is contiguous. Using the variables from abov auto t4pc = make_tensor(tp4.Shape()); copy(t4pc, t4p); -``t4pc`` will now contain the permuted data, but in contiguous memory. +``t4pc`` will now contain the permuted data, but in contiguous memory. Copying a tensor (or operator) can also be done by the assignment +operator: + +.. code-block:: cpp + + (t4pc = t4p).run(); + Reshaping --------- @@ -192,7 +205,7 @@ all rows in a matrix, you can clone the tensor to a higher rank to match the oth auto t2 = make_tensor({16, 16}); // ... Initialize tensors - auto t1c = t1.Clone<2>({16, matxKeepDim}); + auto t1c = clone<2>(t1, {16, matxKeepDim}); ``t1c`` is now a new tensor view where each row is a replica of the tensor ``t1``. Again, this is just a view and no data was modified or allocated, so modifying a row/column in either of these tensors will affect the other. @@ -201,9 +214,9 @@ The keyword ``matxKeepDim`` tells MatX which dimensions should be kept from the In this example we used it in the columns place of the shape, but we also could have used ``{matxKeepDim, 16}`` and we would have a 2D view where all columns of ``t1c`` matches ``t1``. -Note in some cases MatX's *broadcasting* feature can be used instead of ``Clone``. This allows an implicit expansion of ranks during an +Note in some cases MatX's *broadcasting* feature can be used instead of ``clone``. This allows an implicit expansion of ranks during an element-wise operation. For example, adding a 4D tensor to a 1D tensor will work as long as the outer dimension of the 4D tensor matches -that of the 1D tensor. Broadcasting is covered in the documentation. ``Clone`` is much more powerful since it gives more control over which +that of the 1D tensor. Broadcasting is covered in the documentation. ``clone`` is much more powerful since it gives more control over which dimensions are cloned instead of assuming the outer dimensions. Creating a view from an existing pointer @@ -319,6 +332,7 @@ device, at which point only *one* of these assignments will occur. Initialization of operators and generators ########################################## + As mentioned above, it's common in high-level languages to initialize a tensor/array with a known set of values. For example, generating a range of linearly- spaced values, all ones, or a diagonal matrix. These are all operations that do not need to be generated and stored in memory before using since they are all generated from a formula. MatX calls these types of operators a *generator*, indicating that they generate data without storage. diff --git a/docs/api/casting/as_double.html b/docs/api/casting/as_double.html index a4a2676ef..4ec385e63 100644 --- a/docs/api/casting/as_double.html +++ b/docs/api/casting/as_double.html @@ -396,6 +396,8 @@
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                                                                                  API Reference

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                                                                                                                                                                                                                                                                                                                                                                              Examples

                                                                                                                                                                                                                                                                                                                                                                              next

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                                                                                                                                                                                                                                                                                                                                                                              downsample

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                                                                                                                                                                                                                                                                                                                                                                              downsample#

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                                                                                                                                                                                                                                                                                                                                                                              downsample a signal by dropping samples

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                                                                                                                                                                                                                                                                                                                                                                              +template<typename T>
                                                                                                                                                                                                                                                                                                                                                                              __MATX_INLINE__ auto matx::downsample(const T &op, int32_t dim, index_t n)#
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                                                                                                                                                                                                                                                                                                                                                                              Operator to downsample an operator by dropping samples.

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                                                                                                                                                                                                                                                                                                                                                                              Template Parameters:
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                                                                                                                                                                                                                                                                                                                                                                              T – Input operator/tensor type

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                                                                                                                                                                                                                                                                                                                                                                              Parameters:
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                                                                                                                                                                                                                                                                                                                                                                              • op – Input operator

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                                                                                                                                                                                                                                                                                                                                                                              • dim – the factor to downsample

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                                                                                                                                                                                                                                                                                                                                                                              • n – Downsample rate

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                                                                                                                                                                                                                                                                                                                                                                              Downsample operator

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                                                                                                                                                                                                                                                                                                                                                                              Examples#

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                                                                                                                                                                                                                                                                                                                                                                              int n = 5;
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                                                                                                                                                                                                                                                                                                                                                                              +auto t1 = make_tensor<TestType>({100});
                                                                                                                                                                                                                                                                                                                                                                              +(t1 = static_cast<TestType>(1)).run(exec);
                                                                                                                                                                                                                                                                                                                                                                              +auto ds_op = downsample(t1, 0, n);
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                                                                                                                                                                                                                                                                                                                                                                                General

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                                                                                                                                                                                                                                                                                                                                                                                upsample

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                                                                                                                                                                                                                                                                                                                                                                                Contents

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                                                                                                                                                                                                                                                                                                                                                                                upsample#

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                                                                                                                                                                                                                                                                                                                                                                                Upsample a signal by stuffing zeros

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                                                                                                                                                                                                                                                                                                                                                                                +template<typename T>
                                                                                                                                                                                                                                                                                                                                                                                __MATX_INLINE__ auto matx::upsample(const T &op, int32_t dim, index_t n)#
                                                                                                                                                                                                                                                                                                                                                                                +

                                                                                                                                                                                                                                                                                                                                                                                Operator to upsample an operator by inserting zeros between values.

                                                                                                                                                                                                                                                                                                                                                                                +
                                                                                                                                                                                                                                                                                                                                                                                +
                                                                                                                                                                                                                                                                                                                                                                                Template Parameters:
                                                                                                                                                                                                                                                                                                                                                                                +

                                                                                                                                                                                                                                                                                                                                                                                T – Input operator/tensor type

                                                                                                                                                                                                                                                                                                                                                                                +
                                                                                                                                                                                                                                                                                                                                                                                +
                                                                                                                                                                                                                                                                                                                                                                                Parameters:
                                                                                                                                                                                                                                                                                                                                                                                +
                                                                                                                                                                                                                                                                                                                                                                                  +
                                                                                                                                                                                                                                                                                                                                                                                • op – Input operator

                                                                                                                                                                                                                                                                                                                                                                                • +
                                                                                                                                                                                                                                                                                                                                                                                • dim – the factor to upsample

                                                                                                                                                                                                                                                                                                                                                                                • +
                                                                                                                                                                                                                                                                                                                                                                                • n – Upsample rate

                                                                                                                                                                                                                                                                                                                                                                                • +
                                                                                                                                                                                                                                                                                                                                                                                +
                                                                                                                                                                                                                                                                                                                                                                                +
                                                                                                                                                                                                                                                                                                                                                                                Returns:
                                                                                                                                                                                                                                                                                                                                                                                +

                                                                                                                                                                                                                                                                                                                                                                                Upsampled operator

                                                                                                                                                                                                                                                                                                                                                                                +
                                                                                                                                                                                                                                                                                                                                                                                +
                                                                                                                                                                                                                                                                                                                                                                                +
                                                                                                                                                                                                                                                                                                                                                                                + +
                                                                                                                                                                                                                                                                                                                                                                                +

                                                                                                                                                                                                                                                                                                                                                                                Examples#

                                                                                                                                                                                                                                                                                                                                                                                +
                                                                                                                                                                                                                                                                                                                                                                                // Upsample a signal of length 100 by 5
                                                                                                                                                                                                                                                                                                                                                                                +int n = 5;
                                                                                                                                                                                                                                                                                                                                                                                +
                                                                                                                                                                                                                                                                                                                                                                                +auto t1 = make_tensor<TestType>({100});
                                                                                                                                                                                                                                                                                                                                                                                +(t1 = static_cast<TestType>(1)).run(exec);
                                                                                                                                                                                                                                                                                                                                                                                +auto us_op = upsample(t1, 0, n);
                                                                                                                                                                                                                                                                                                                                                                                +
                                                                                                                                                                                                                                                                                                                                                                                +
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                                                                                                                                                                                                                                                                                                                                                                                  Signal and Image Processing

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                  M

                                                                                                                                                                                                                                                                                                                                                                                                                                                                • matx::dct (C++ function)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • matx::diag (C++ function), [1] +
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • +
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • matx::downsample (C++ function)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • matx::eig (C++ function)
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • @@ -1027,6 +1031,8 @@

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                • matx::transpose (C++ function), [1]
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@@ -396,6 +396,8 @@

                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • General
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • Radar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        @@ -676,7 +678,7 @@

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Tensor ViewsSetVals function:

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        auto myT = make_tensor<float>({3, 3});
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -myT.SetVals({ {1,2,3}, {4,5,6}, {7,8,9} });
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +myT.SetVals({{1,2,3}, {4,5,6}, {7,8,9}});
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        In other languages it’s very common to initialize a tensor with a set of values on creation (ones, zeros, ranges). This will be covered later @@ -710,14 +712,14 @@

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Getting shapes and sizes#

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        As the name implies, t is a view into a region of memory. When the initial view is created and memory is allocated, the tensor view is of the entire 10x20 contiguous block of memory. Often we don’t want to see the entire block of memory, but only want to view a subset of the -underlying data. To do this, we use the Slice member function of the view class:

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        auto tCube  = t.Slice({3, 5}, {6, 8});                      // Cube of t using rows 3-5 and cols 5-7
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -auto tRectS = t.Slice({0, 0}, {matxEnd, matxEnd}, {2, 2});  // Rectangle with stride of 2 in both dimensions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -auto tCol   = t.Slice<1>({0, 4}, {matxEnd, matxDropDim});   // Create a 1D tensor with only column 5
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -auto tRow   = t.Slice<1>({4, 0}, {matxDropDim, matxEnd});   // Create a 1D tensor with only row 5
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +underlying data. To do this, we use the slice operator:

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        auto tCube  = slice(t, {3, 5}, {6, 8});                      // Cube of t using rows 3-5 and cols 5-7
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +auto tRectS = slice(t, {0, 0}, {matxEnd, matxEnd}, {2, 2});  // Rectangle with stride of 2 in both dimensions
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +auto tCol   = slice<1>(t, {0, 4}, {matxEnd, matxDropDim});   // Create a 1D tensor with only column 5
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +auto tRow   = slice<1>(t, {4, 0}, {matxDropDim, matxEnd});   // Create a 1D tensor with only row 5
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Slice returns a new view of the tensor using start, stop, and optional stride parameters. Since views are simply +

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        slice returns a new view of the tensor using start, stop, and optional stride parameters. Since views are simply light-weight views into memory, none of these variants modify the data; they return an object with new parameters describing how the data is viewed. The resulting variables can be used exactly as the original view above:

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        auto cubeRows = tCube.Size(0); // 3
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        @@ -727,24 +729,29 @@ 

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Slicing and dicing
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        auto tCubeP  = t.Slice({3, 5}, {6, 8}).Permute({1, 0});
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        auto tCubeP  = permute(slice(t, {3, 5}, {6, 8}), {1, 0});
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        The above code takes the same cube as before, but permutes the cube view by swapping the two dimensions.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        slice is not limited to only tensors; it can be used on any operator as input:

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        slice(eye(t.Shape()), {3, 5}, {6, 8});
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Permuting#

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Permuting a tensor is done using the Permute member function of a view:

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Permuting a tensor is done using the permute function:

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        auto t = make_tensor<float>({10, 20});
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -auto tp = t.Permute({1,0});
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +auto tp = permute(t, {1,0});
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        tp is now a view into t where the rows and columns are swapped (transpose). Permute is not limited to matrices, though:

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        tp is now a view into t where the rows and columns are swapped (transpose). permute is not limited to matrices, though:

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        auto t4 = make_tensor<float>({10, 20, 5, 2});
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -auto tp4 = t.Permute({1,3,2,0});
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +auto tp4 = permute(t, {1,3,2,0});
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        t4p is now a permuted view of the original 4D tensor, but with the dimensions swapped as ordered in the initializer list.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        t4p is now a permuted view of the original 4D tensor, but with the dimensions swapped as ordered in the initializer list. Just like +with slice, permute works on operators as well.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Note that since no data is moved, permuting a tensor can be detrimental to performance, depending on the context. Permuting usually changes the strides of dimensions such that the memory access patterns are no longer optimal, and accessing the permuted view continuously can be very slow. If a permuted view will be accessed repeatedly, it’s recommended to copy the permuted view into @@ -753,7 +760,11 @@

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Permutingcopy(t4pc, t4p);

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        t4pc will now contain the permuted data, but in contiguous memory.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        t4pc will now contain the permuted data, but in contiguous memory. Copying a tensor (or operator) can also be done by the assignment +operator:

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        (t4pc = t4p).run();
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        +

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Reshaping#

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        @@ -776,7 +787,7 @@

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Increasing dimensionalityauto t2 = make_tensor<float>({16, 16}); // ... Initialize tensors -auto t1c = t1.Clone<2>({16, matxKeepDim}); +auto t1c = clone<2>(t1, {16, matxKeepDim});

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        t1c is now a new tensor view where each row is a replica of the tensor t1. Again, this is just a view and no data was modified or @@ -784,9 +795,9 @@

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Increasing dimensionalitymatxKeepDim tells MatX which dimensions should be kept from the original tensor and where it should be in the new tensor. In this example we used it in the columns place of the shape, but we also could have used {matxKeepDim, 16} and we would have a 2D view where all columns of t1c matches t1.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        -

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Note in some cases MatX’s broadcasting feature can be used instead of Clone. This allows an implicit expansion of ranks during an +

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Note in some cases MatX’s broadcasting feature can be used instead of clone. This allows an implicit expansion of ranks during an element-wise operation. For example, adding a 4D tensor to a 1D tensor will work as long as the outer dimension of the 4D tensor matches -that of the 1D tensor. Broadcasting is covered in the documentation. Clone is much more powerful since it gives more control over which +that of the 1D tensor. Broadcasting is covered in the documentation. clone is much more powerful since it gives more control over which dimensions are cloned instead of assuming the outer dimensions.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                        diff --git a/docs/search.html b/docs/search.html index 71e39e568..47cfcf24c 100644 --- a/docs/search.html +++ b/docs/search.html @@ -395,6 +395,8 @@
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • General
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • Radar
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          diff --git a/docs/searchindex.js b/docs/searchindex.js index a34cb9414..967bc6dc9 100644 --- a/docs/searchindex.js +++ b/docs/searchindex.js @@ -1 +1 @@ -Search.setIndex({"docnames": ["api/casting/as_double", "api/casting/as_float", "api/casting/as_int16", "api/casting/as_int32", "api/casting/as_int8", "api/casting/as_type", "api/casting/as_uint16", "api/casting/as_uint32", "api/casting/as_uint8", "api/casting/index", "api/creation/index", "api/creation/operators/alternate", "api/creation/operators/diag", "api/creation/operators/eye", 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20, 22, 23, 44, 47, 48, 49, 50, 51, 52, 55, 58, 82, 86, 87, 89, 91, 96, 100, 103, 105, 106, 107, 138, 144, 146, 147, 164, 165, 171, 176, 182, 186, 187, 188, 189, 191, 193, 197, 198, 200, 201, 202, 203, 204, 205, 206, 207, 209, 210, 215, 216, 218, 222], "": [12, 13, 15, 16, 18, 19, 20, 22, 23, 30, 33, 34, 35, 36, 41, 49, 50, 51, 52, 55, 82, 86, 90, 100, 102, 103, 168, 169, 176, 178, 203, 204, 205, 206, 207, 209, 210, 214, 216, 217, 218], "all": [12, 13, 18, 20, 25, 26, 27, 28, 38, 44, 47, 48, 49, 51, 52, 55, 74, 81, 91, 133, 134, 138, 146, 147, 164, 165, 168, 169, 172, 186, 187, 209, 210, 211, 213, 214, 215, 216, 217, 218, 220, 221, 222], "otherwis": [12, 13, 79, 84, 105, 222], "In": [12, 13, 44, 47, 48, 52, 55, 105, 106, 193, 209, 210, 212, 213, 215, 216, 218, 221, 222], "other": [12, 13, 30, 38, 52, 54, 55, 82, 87, 133, 134, 193, 209, 210, 211, 216, 217, 221, 222], "word": [12, 13, 193], "index": [12, 13, 17, 19, 33, 34, 35, 36, 90, 105, 106, 107, 165, 166, 167, 196, 213, 216, 217, 221], "everi": [12, 13, 82, 87, 91, 118, 122, 127, 128, 129, 136, 140, 141, 143, 148, 149, 150, 151, 152, 153, 155, 156, 158, 159, 161, 162, 173, 209, 213, 214, 215, 220, 222], "dimens": [12, 13, 15, 16, 19, 25, 26, 27, 28, 33, 34, 35, 36, 55, 58, 59, 79, 80, 82, 86, 87, 89, 90, 91, 93, 94, 95, 96, 100, 101, 102, 103, 105, 106, 133, 134, 138, 144, 146, 147, 164, 165, 166, 167, 171, 182, 186, 187, 188, 189, 193, 198, 202, 203, 204, 205, 206, 207, 209, 213, 215, 216, 222], "same": [12, 13, 25, 26, 27, 28, 30, 35, 36, 44, 47, 48, 52, 55, 58, 59, 79, 80, 82, 83, 84, 86, 96, 103, 106, 107, 118, 168, 169, 172, 173, 209, 210, 211, 214, 215, 216, 218, 222], "arrai": [12, 15, 18, 20, 22, 58, 79, 80, 86, 89, 95, 106, 133, 134, 138, 146, 147, 164, 165, 166, 167, 176, 186, 187, 188, 189, 203, 206, 207, 213, 216, 222], "2d": [12, 26, 28, 34, 36, 40, 42, 79, 80, 105, 106, 133, 134, 147, 166, 167, 171, 174, 182, 213, 216, 222], "3d": [12, 25, 26, 27, 28, 55, 89, 147, 165, 213, 216], "4d": [12, 55, 79, 80, 100, 105, 133, 134, 147, 166, 167, 216, 222], "set": [12, 15, 16, 18, 25, 27, 55, 79, 80, 138, 146, 168, 169, 211, 212, 216, 217, 218, 222], "c": [12, 22, 55, 58, 59, 83, 133, 134, 138, 188, 191, 203, 206, 207, 211, 213, 214, 217, 220, 221, 222], "count": [12, 13, 15, 16, 18, 19, 20, 62, 165, 179, 210, 216], "t3": [12, 13, 87, 138, 154, 160, 164, 209], "t4": [12, 13, 79, 80, 87, 133, 134, 147, 166, 167, 186, 222], "diag2": 12, "diag3": 12, "diag4": 12, "ident": [13, 211, 216, 217, 218, 222], "shapetyp": [13, 15, 16, 18, 19, 20, 22, 100, 165, 203, 204, 205, 206, 207, 210, 216], "std": [13, 15, 16, 18, 19, 20, 22, 40, 41, 42, 43, 55, 58, 86, 89, 100, 105, 164, 165, 176, 179, 196, 197, 198, 200, 201, 202, 203, 204, 205, 206, 207, 210, 211, 216], "enable_if_t": [13, 15, 16, 18, 19, 20, 22, 100, 105, 165, 203, 204, 205, 206, 207, 216], "is_array_v": [13, 15, 16, 18, 19, 20, 22, 100, 165, 203, 204, 205, 206, 207], "remove_cvref": [13, 15, 16, 18, 19, 20, 22, 100, 165, 196, 203, 204, 205, 206, 207, 216], "bool": [13, 15, 16, 18, 19, 20, 22, 40, 100, 105, 165, 196, 203, 204, 205, 206, 207, 216], "true": [13, 15, 16, 18, 19, 20, 22, 40, 79, 80, 83, 84, 100, 105, 165, 196, 203, 204, 205, 206, 207, 216], "pattern": [13, 222], "eye2": 13, "eye3": 13, "eye4": 13, "For": [13, 55, 83, 84, 103, 105, 136, 144, 171, 187, 209, 210, 211, 212, 215, 216, 217, 218, 220, 221, 222], "each": [13, 50, 51, 55, 86, 87, 89, 90, 95, 96, 100, 106, 107, 124, 125, 138, 139, 165, 171, 179, 186, 187, 193, 198, 200, 202, 210, 211, 215, 216, 217, 218, 220, 222], "where": [13, 22, 25, 27, 33, 34, 35, 36, 50, 51, 52, 58, 59, 79, 90, 91, 96, 105, 125, 165, 169, 171, 173, 182, 210, 213, 216, 221, 222], "everywher": 13, "els": [13, 84], "linearli": [15, 179, 222], "space": [15, 16, 19, 22, 32, 179, 217, 222], "number": [15, 16, 19, 32, 38, 50, 51, 55, 57, 83, 84, 93, 94, 95, 105, 106, 117, 120, 122, 123, 133, 134, 135, 136, 146, 147, 168, 169, 172, 176, 179, 186, 187, 193, 215, 216, 218, 220], "first": [15, 16, 19, 30, 34, 36, 55, 57, 83, 84, 96, 102, 107, 173, 174, 182, 190, 209, 210, 213, 215, 216, 217, 218, 220, 222], "last": [15, 16, 25, 26, 27, 28, 33, 34, 35, 36, 58, 103, 147, 164, 179, 193, 210, 215, 216, 218, 222], "step": [15, 16, 19, 55, 179, 217, 218, 222], "size": [15, 16, 19, 23, 25, 27, 30, 32, 33, 34, 35, 36, 50, 51, 55, 79, 80, 82, 86, 89, 91, 100, 103, 106, 138, 164, 165, 168, 169, 172, 173, 179, 188, 189, 193, 201, 202, 203, 204, 205, 206, 207, 209, 210, 215, 216, 218, 220], "determin": [15, 16, 19, 138, 193, 196, 215, 217, 218, 222], "shape": [15, 16, 18, 19, 20, 22, 55, 62, 87, 89, 165, 196, 203, 204, 205, 206, 207, 215, 216, 220], "dim": [15, 16, 19, 79, 80, 86, 90, 93, 94, 101, 102, 103, 106, 133, 134, 138, 146, 147, 166, 167, 186, 187, 188, 189, 203, 204, 205, 206, 207, 216], "start": [15, 16, 19, 33, 34, 35, 36, 87, 212, 213, 216, 220], "end": [15, 16, 55, 87, 179, 213, 214, 216, 222], "ar": [15, 16, 17, 23, 25, 26, 27, 28, 40, 41, 42, 48, 50, 51, 52, 55, 59, 79, 80, 83, 84, 103, 105, 138, 165, 168, 169, 171, 172, 176, 182, 196, 198, 200, 202, 209, 210, 211, 213, 214, 216, 217, 218, 220, 221, 222], "apart": [15, 16], "over": [15, 16, 22, 58, 59, 79, 80, 105, 133, 134, 138, 144, 146, 147, 166, 167, 186, 187, 188, 189, 191, 203, 204, 205, 206, 207, 210, 217, 218, 221, 222], "distanc": [15, 16], "select": [15, 16, 38, 87, 88, 106, 168, 169, 187, 203, 204, 205, 206, 207, 213, 214], "object": [15, 16, 22, 82, 165, 210, 216, 218, 222], "100": [15, 18, 19, 20, 50, 51, 87, 165, 222], "point": [15, 17, 87, 196, 198, 202, 211, 216, 217, 218, 222], "between": [15, 30, 82, 86, 105, 138, 179, 193, 210, 213, 216, 221], "logarithm": [16, 38, 127, 128, 129, 135], "log10": [16, 38, 126, 135], "20": [16, 55, 87, 209, 210, 215, 222], "tensor_t": [16, 19, 22, 58, 95, 210, 216, 218, 222], "0f": [16, 193, 218, 222], "stop": [16, 213, 216, 222], "2": [16, 25, 26, 27, 28, 33, 34, 35, 36, 48, 55, 57, 58, 79, 80, 86, 87, 90, 91, 93, 94, 95, 100, 129, 133, 134, 136, 138, 144, 147, 164, 166, 167, 174, 187, 210, 213, 215, 216, 217, 218, 221, 222], "matrix": [17, 38, 44, 47, 48, 49, 52, 54, 57, 59, 60, 62, 95, 182, 191, 213, 216, 222], "vector": [17, 22, 38, 50, 51, 52, 54, 59, 138, 176, 179, 182, 210, 222], "mesh": 17, "grid": 17, "list": [17, 55, 101, 102, 106, 165, 216, 217, 220, 221, 222], "n": [17, 32, 49, 50, 51, 58, 87, 89, 106, 164, 171, 189, 213, 216, 218, 221], "rank1": 17, "defin": [17, 22, 83, 84, 133, 134, 138, 154, 160, 168, 169, 210, 212, 214, 217], "rankn": 17, "cartisian": [17, 154], "transpos": [17, 38, 48, 49, 55, 86, 88, 99, 119, 213, 221, 222], "xv": [17, 23, 182], "dtype": [17, 57], "yd": 17, "xd": 17, "yv": 17, "x": [17, 19, 51, 55, 60, 124, 125, 136, 138, 154, 160, 164, 182, 197, 198, 200, 201, 202, 203, 204, 205, 207, 218], "y": [17, 136, 154, 160, 182, 197, 198, 200, 201, 202, 203, 204, 205, 207], "extent": 17, "xx": 17, "yy": 17, "one": [18, 50, 51, 55, 89, 96, 102, 193, 198, 202, 210, 216, 220, 222], "Ones": 18, "alwai": [18, 20, 106, 210, 220, 222], "It": [18, 20, 165, 168, 169, 176, 216, 217, 222], "can": [18, 20, 55, 86, 87, 100, 101, 103, 106, 165, 168, 169, 172, 176, 184, 189, 206, 209, 210, 213, 214, 215, 216, 217, 218, 219, 222], "place": [18, 20, 44, 47, 48, 52, 86, 103, 165, 210, 212, 218, 222], "memset": [18, 20], "total": [19, 91, 100, 210], "base": [19, 23, 25, 26, 27, 28, 46, 55, 58, 101, 106, 107, 127, 128, 129, 154, 165, 168, 169, 176, 210, 213, 214, 215, 216], "along": [19, 25, 27, 55, 58, 90, 96, 101, 102, 106, 203, 204, 205, 206, 207], "block": [20, 25, 27, 50, 222], "memori": [20, 22, 25, 27, 86, 165, 171, 209, 210, 213, 215, 216, 222], "pointer": [21, 210, 216, 220], "util": [22, 31, 38, 210, 214, 216, 217], "possibl": [22, 55, 165, 210, 211, 214, 221], "prefer": [22, 55, 58, 59, 191, 210, 218, 220], "directli": [22, 58, 59, 176, 191, 210, 213, 216, 217, 218, 220, 222], "declar": [22, 210, 214, 217], "sinc": [22, 25, 27, 30, 55, 58, 59, 82, 103, 107, 165, 176, 187, 191, 210, 211, 216, 218, 221, 222], "allow": [22, 41, 55, 102, 103, 209, 210, 214, 215, 216, 218, 221, 222], "chang": [22, 25, 27, 86, 103, 209, 213, 214, 216, 217, 218, 222], "futur": [22, 25, 27, 55, 171, 216, 221], "without": [22, 55, 58, 59, 86, 176, 191, 210, 215, 216, 217, 218, 220, 222], "break": 22, "see": [22, 44, 47, 48, 49, 52, 210, 216, 217, 220, 222], "walkthrough": 22, "provid": [22, 44, 47, 48, 49, 52, 55, 58, 59, 106, 107, 165, 176, 179, 210, 211, 214, 216, 217, 219, 221, 222], "numer": [22, 109, 216, 220], "overload": [22, 25, 27, 211, 214, 222], "argument": [22, 55, 210, 216, 217, 222], "case": [22, 44, 47, 48, 52, 55, 101, 106, 210, 215, 218, 222], "matxmemoryspace_t": 22, "matx_managed_memori": 22, "cudastream_t": [22, 23, 25, 26, 27, 28, 44, 46, 47, 48, 49, 50, 51, 52, 55, 58, 59, 60, 82, 86, 105, 138, 173, 174, 176, 178, 182, 190, 191, 193, 216], "stream": [22, 23, 25, 26, 27, 28, 44, 46, 47, 48, 49, 50, 51, 52, 55, 58, 59, 60, 62, 79, 80, 82, 86, 103, 105, 133, 134, 138, 166, 167, 168, 169, 173, 174, 176, 178, 182, 188, 189, 190, 191, 193, 210, 216, 218, 222], "implicitli": [22, 210, 222], "alloc": [22, 165, 171, 216, 218, 222], "default": [22, 32, 51, 138, 189, 210, 211, 214, 217], "mang": 22, "cuda": [22, 23, 25, 26, 27, 28, 44, 46, 47, 48, 49, 50, 51, 52, 55, 58, 59, 60, 62, 79, 80, 86, 103, 105, 133, 134, 138, 146, 147, 166, 167, 168, 169, 171, 172, 173, 174, 176, 178, 179, 182, 186, 187, 188, 189, 190, 191, 193, 196, 210, 211, 216, 217, 220, 221, 222], "applic": [22, 196, 210, 217, 220], "async": 22, "new": [22, 25, 26, 27, 28, 33, 34, 35, 36, 55, 57, 58, 59, 82, 86, 87, 90, 95, 96, 100, 102, 164, 165, 191, 197, 198, 200, 201, 202, 210, 216, 220, 222], "tensortyp": [22, 40, 41, 42, 43, 197, 200, 201], "is_tensor_view_v": [22, 196], "void": [22, 23, 25, 26, 27, 28, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 55, 58, 59, 60, 62, 79, 80, 82, 86, 103, 105, 133, 134, 138, 144, 146, 147, 166, 167, 168, 169, 171, 172, 173, 174, 176, 178, 182, 186, 187, 188, 189, 190, 191, 193, 197, 198, 200, 201, 202, 214, 216], "store": [22, 44, 46, 47, 48, 52, 55, 105, 106, 107, 146, 165, 168, 169, 173, 186, 187, 209, 210, 215, 218, 222], "newli": 22, "is_matx_shape_v": [22, 196], "is_matx_descriptor_v": [22, 196, 216], "conform": 22, "have": [22, 41, 50, 51, 55, 58, 171, 209, 210, 211, 217, 218, 220, 222], "sequenti": 22, "iter": [22, 49, 50, 51, 60, 210], "both": [22, 25, 27, 55, 58, 59, 79, 80, 82, 86, 103, 105, 133, 134, 166, 167, 171, 182, 191, 197, 209, 210, 211, 213, 214, 216, 217, 218, 222], "non": [22, 55, 73, 79, 80, 176, 210, 216], "meet": [22, 107, 168, 169, 172, 210], "thi": [22, 23, 25, 26, 27, 28, 30, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 55, 58, 59, 82, 86, 100, 101, 102, 103, 106, 107, 133, 134, 136, 138, 144, 164, 165, 168, 169, 171, 172, 173, 174, 176, 190, 191, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222], "criteria": [22, 107, 168, 169, 172], "manag": [22, 210, 214, 216, 217, 222], "shape_contain": 22, "0d": [22, 79, 80, 105, 147, 209], "own": [22, 168, 169, 210, 214, 217, 222], "fals": [22, 79], "user": [22, 32, 55, 168, 169, 196, 210, 212, 214, 216, 217, 220, 222], "devic": [22, 165, 210, 211, 215, 216, 218, 222], "If": [22, 25, 27, 48, 55, 82, 105, 118, 165, 176, 197, 198, 200, 201, 202, 210, 214, 215, 216, 217, 220, 222], "class": [22, 84, 86, 165, 196, 216, 217, 222], "scalar_typ": [22, 105, 165, 179, 193, 216], "ptr": [22, 210], "storag": [22, 196, 212, 216, 222], "is_matx_storage_v": [22, 196, 216], "custom": [22, 168, 169, 179, 196, 214, 216], "storage_typ": [22, 216], "d": [22, 32, 63, 65, 66, 67, 68, 69, 71, 72, 73, 75, 78, 79, 80, 84, 131, 132, 133, 134, 138, 146, 147, 166, 167, 186, 187, 188, 189, 216], "desc": [22, 210, 216], "exist": [22, 25, 26, 27, 28, 58, 59, 191, 210, 216, 217, 220, 221], "descriptor": [22, 196, 212, 216], "tensor_desc_t": 22, "desc_typ": [22, 216], "stride": [22, 58, 86, 87, 210, 213, 216, 221, 222], "make_tensor_p": 22, "caller": [22, 210, 216, 222], "respons": [22, 216], "delet": [22, 210, 214, 216, 221], "perform": [23, 25, 26, 27, 28, 33, 34, 35, 36, 40, 42, 44, 46, 47, 48, 49, 50, 51, 52, 55, 57, 58, 59, 60, 86, 103, 105, 138, 168, 169, 171, 173, 174, 176, 182, 186, 190, 210, 213, 214, 216, 218, 220, 221, 222], "direct": [23, 55, 95, 171, 190, 218, 221], "cosin": [23, 148, 149, 155, 156, 179], "transform": [23, 30, 38, 58, 220, 222], "These": [23, 25, 26, 27, 28, 210, 222], "current": [23, 25, 26, 27, 28, 40, 42, 46, 55, 58, 171, 176, 182, 187, 197, 210, 216, 217, 221, 222], "support": [23, 25, 26, 27, 28, 40, 42, 46, 48, 49, 55, 58, 171, 176, 196, 209, 210, 211, 216, 217, 220, 221, 222], "host": [23, 25, 26, 27, 28, 46, 55, 58, 79, 80, 107, 133, 134, 146, 147, 166, 167, 168, 169, 176, 186, 187, 210, 211, 215, 216, 217, 218, 221, 222], "executor": [23, 25, 26, 27, 28, 46, 55, 58, 62, 79, 80, 82, 103, 107, 133, 134, 144, 146, 147, 166, 167, 168, 169, 171, 172, 176, 186, 187, 188, 189, 196, 220, 221], "cpu": [23, 25, 26, 27, 28, 46, 55, 58, 176, 220, 221, 222], "outputtensor": [23, 25, 26, 27, 28, 44, 47, 52, 82, 103, 144, 168, 169, 171, 172, 190, 193], "inputtensor": [23, 25, 26, 27, 28, 82, 103], "out": [23, 25, 26, 27, 28, 44, 47, 48, 52, 55, 60, 82, 86, 103, 164, 168, 169, 173, 178, 193, 210, 214, 218, 222], "discret": [23, 38, 220], "comput": [23, 49, 52, 62, 63, 65, 66, 67, 68, 69, 71, 72, 73, 75, 77, 78, 89, 115, 117, 118, 122, 124, 125, 127, 128, 129, 131, 132, 133, 134, 136, 138, 139, 140, 141, 143, 144, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 158, 159, 160, 161, 162, 164, 166, 167, 186, 187, 188, 189, 191, 193, 210, 213, 217, 220, 222], "must": [23, 25, 27, 44, 50, 51, 55, 82, 83, 84, 86, 96, 100, 103, 106, 168, 169, 171, 172, 182, 187, 197, 198, 201, 202, 210, 211, 214, 216, 217, 222], "match": [23, 25, 26, 27, 28, 55, 86, 100, 103, 138, 173, 182, 198, 201, 202, 209, 210, 214, 216, 218, 222], "implement": [23, 103, 138, 176, 210, 214], "2n": [23, 171], "pad": [23, 25, 27, 218], "makhoul": 23, "method": [23, 49, 50, 51, 55, 179, 190, 210, 216, 217, 222], "which": [23, 47, 55, 82, 102, 105, 107, 138, 164, 178, 209, 210, 214, 217, 222], "offload": 23, "complex": [23, 30, 38, 58, 60, 83, 84, 117, 118, 119, 120, 122, 123, 135, 136, 179, 196, 210, 211, 213, 216, 217, 218, 222], "process": [23, 38, 171, 217, 220, 221], "cufft": [23, 30, 217], "sig_siz": 23, "1d": [25, 27, 33, 35, 40, 42, 87, 89, 90, 91, 96, 100, 105, 107, 171, 173, 178, 186, 213, 216, 222], "o": [25, 26, 27, 28, 173, 174, 176, 190], "uint64_t": [25, 27, 165, 211], "fft_size": [25, 27], "cach": [25, 26, 27, 28, 44, 48, 49, 52, 58, 59, 191, 209, 216, 217, 221], "plan": [25, 26, 27, 28, 44, 48, 49, 52, 55, 58, 59, 176, 191], "none": [25, 26, 27, 28, 58, 59, 191, 222], "execut": [25, 26, 27, 28, 58, 59, 60, 83, 84, 176, 191, 216, 217, 219, 221, 222], "note": [25, 26, 27, 28, 35, 36, 52, 133, 134, 138, 182, 213, 216, 217, 218, 220, 221], "ifft": [25, 26, 28, 29, 31, 38, 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[0, 1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 14, 15, 16, 17, 18, 19, 20, 29, 30, 54, 59, 75, 76, 78, 82, 85, 86, 87, 89, 90, 91, 92, 96, 98, 102, 103, 114, 116, 119, 129, 130, 132, 142, 143, 150, 156, 160, 161, 162, 163, 164, 165, 175, 176, 178, 180, 194, 201, 202, 203, 204, 205, 208, 211, 214, 216, 220], "output": [0, 1, 2, 3, 4, 5, 6, 7, 8, 11, 22, 24, 25, 26, 27, 29, 30, 36, 42, 44, 45, 46, 47, 48, 49, 50, 52, 55, 56, 59, 75, 76, 101, 102, 103, 129, 130, 134, 140, 142, 143, 160, 162, 163, 164, 165, 168, 169, 170, 172, 174, 180, 184, 185, 186, 187, 188, 189, 191, 195, 196, 198, 199, 200, 214, 216, 218, 220], "float": [1, 10, 15, 18, 22, 24, 30, 52, 55, 56, 161, 167, 180, 194, 201, 202, 203, 204, 205, 207, 208, 209, 214, 216, 220], "int16_t": [2, 209], "int32_t": [3, 24, 55, 82, 96, 169, 170, 176, 178, 188, 209, 212, 214], "int8_t": [4, 5, 209], "t2": [4, 5, 11, 12, 32, 34, 54, 59, 60, 62, 63, 64, 65, 66, 68, 69, 70, 71, 74, 79, 80, 83, 87, 91, 93, 94, 97, 98, 104, 105, 106, 108, 109, 111, 112, 115, 127, 128, 142, 150, 156, 160, 180, 196, 200, 207, 209, 214, 220], "run": [4, 5, 10, 11, 12, 14, 15, 16, 17, 18, 19, 24, 25, 26, 27, 30, 32, 34, 48, 49, 52, 54, 55, 56, 59, 60, 62, 63, 64, 65, 66, 68, 69, 70, 71, 73, 74, 78, 79, 80, 83, 86, 87, 93, 94, 97, 98, 99, 102, 103, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 115, 116, 118, 119, 120, 121, 123, 124, 125, 127, 128, 132, 135, 136, 137, 139, 144, 145, 146, 147, 148, 149, 151, 152, 154, 155, 157, 158, 160, 174, 175, 176, 178, 201, 202, 203, 204, 205, 207, 208, 209, 213, 215, 216, 217, 220], "arbitrari": [5, 52, 207, 214, 220], "newtyp": 5, "differ": [5, 21, 36, 52, 55, 56, 78, 80, 83, 101, 131, 164, 165, 189, 191, 208, 214, 215, 216, 218, 219, 220], "uint16_t": [6, 209], "uint32_t": [7, 82, 209, 214], "uint8_t": [8, 209], "as_doubl": [9, 36], "as_float": [9, 36], "as_int16": [9, 36], "as_int32": [9, 36], "as_int8": [9, 36], "exampl": [9, 13, 23, 28, 35, 36, 182, 207, 208, 209, 210, 211, 214, 216, 218, 219, 220], "as_typ": [9, 36, 111, 160], "as_uint16": [9, 36], "as_uint32": [9, 36], "as_uint8": [9, 36], "gener": [10, 12, 13, 17, 18, 19, 30, 36, 55, 101, 175, 179, 180, 191, 195, 196, 198, 199, 200, 201, 202, 203, 204, 205, 208, 211, 214, 216, 218], "sequenc": [10, 15, 18, 22, 175, 216, 220], "1": [10, 12, 14, 15, 16, 17, 18, 19, 22, 24, 25, 26, 27, 30, 49, 52, 54, 55, 56, 75, 76, 82, 83, 86, 87, 99, 102, 106, 121, 129, 130, 134, 140, 160, 161, 162, 163, 169, 175, 176, 178, 180, 185, 187, 188, 195, 199, 211, 212, 213, 214, 215, 216, 220], "inlin": [10, 11, 12, 14, 15, 17, 18, 19, 30, 161, 169, 170, 174, 175, 180, 194, 201, 202, 203, 204, 205, 214], "const": [10, 11, 12, 14, 15, 17, 18, 19, 21, 22, 24, 25, 26, 27, 38, 39, 40, 41, 42, 44, 45, 46, 47, 50, 52, 55, 56, 59, 75, 76, 78, 82, 83, 85, 87, 89, 90, 91, 96, 99, 101, 129, 130, 134, 140, 142, 143, 160, 161, 162, 163, 164, 165, 167, 168, 169, 170, 172, 174, 176, 178, 184, 185, 186, 187, 188, 189, 191, 195, 196, 198, 199, 200, 201, 202, 203, 204, 205, 208, 212, 214], "index_t": [10, 11, 12, 14, 15, 17, 18, 19, 21, 24, 26, 29, 30, 49, 55, 83, 85, 87, 91, 161, 162, 163, 174, 175, 176, 178, 201, 202, 203, 204, 205, 208, 214, 216], "len": 10, "creat": [10, 11, 12, 14, 15, 16, 18, 21, 24, 25, 26, 27, 36, 55, 56, 78, 115, 161, 175, 189, 195, 196, 198, 199, 200, 201, 202, 203, 204, 205, 210, 214, 215, 216, 218], "data": [10, 11, 12, 17, 19, 21, 22, 27, 39, 41, 42, 45, 46, 47, 50, 55, 56, 59, 75, 76, 78, 82, 91, 101, 129, 130, 134, 140, 142, 143, 162, 163, 164, 165, 167, 168, 175, 184, 185, 186, 187, 189, 191, 198, 200, 201, 202, 203, 204, 205, 208, 210, 213, 214, 216, 218, 219, 220], "length": [10, 18, 24, 26, 30, 33, 34, 87, 167, 175, 178, 208, 214, 216, 220], "td": [10, 11], "make_tensor": [10, 11, 12, 14, 16, 17, 19, 21, 22, 24, 48, 49, 52, 54, 55, 59, 83, 85, 86, 87, 96, 102, 106, 129, 130, 160, 162, 163, 175, 176, 178, 184, 207, 208, 209, 213, 220], "typeparam": [10, 11, 12, 14, 15, 17, 18, 19, 24, 52, 55, 175, 213], "10": [10, 11, 12, 52, 57, 83, 86, 87, 91, 124, 129, 130, 140, 161, 162, 163, 207, 208, 213, 216, 220], "contain": [10, 21, 52, 75, 76, 101, 129, 130, 134, 162, 163, 168, 186, 187, 191, 194, 208, 214, 215, 216, 220], "come": [11, 220], "two": [11, 16, 24, 25, 26, 27, 52, 54, 55, 60, 62, 63, 64, 65, 66, 68, 69, 70, 71, 74, 75, 76, 79, 80, 83, 89, 90, 99, 101, 104, 105, 106, 108, 109, 111, 112, 127, 128, 129, 130, 162, 163, 185, 188, 199, 208, 211, 212, 213, 214, 216, 220], "form": [11, 54, 161, 207, 208, 214], "The": [11, 14, 15, 18, 22, 24, 26, 42, 44, 45, 46, 48, 49, 50, 52, 54, 75, 76, 82, 86, 87, 89, 90, 96, 98, 101, 102, 103, 134, 160, 164, 165, 170, 172, 175, 180, 185, 186, 188, 191, 195, 196, 198, 199, 200, 201, 202, 203, 204, 205, 207, 208, 209, 211, 212, 213, 214, 215, 216, 218, 219, 220], "version": [11, 22, 33, 34, 48, 49, 52, 98, 160, 208, 209, 215, 219, 220], "i": [11, 12, 14, 15, 17, 18, 19, 21, 24, 25, 26, 27, 29, 31, 32, 33, 34, 38, 40, 42, 44, 45, 46, 48, 49, 50, 52, 54, 55, 56, 75, 76, 78, 79, 80, 82, 85, 87, 91, 96, 98, 99, 101, 102, 103, 114, 121, 129, 130, 134, 161, 164, 165, 167, 168, 169, 170, 172, 175, 180, 184, 185, 186, 189, 191, 194, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220], "us": [11, 14, 15, 17, 18, 19, 21, 22, 24, 25, 26, 27, 30, 38, 39, 40, 42, 44, 46, 47, 48, 49, 50, 52, 55, 56, 75, 76, 82, 83, 99, 101, 103, 129, 130, 161, 162, 163, 167, 172, 174, 175, 185, 186, 187, 189, 194, 195, 198, 200, 208, 209, 210, 211, 213, 214, 215, 216, 218, 219, 220], "diagon": [11, 12, 59, 220], "tensor": [11, 12, 15, 17, 18, 19, 22, 24, 25, 26, 27, 30, 31, 32, 33, 34, 36, 38, 39, 40, 41, 42, 44, 45, 46, 48, 49, 50, 54, 55, 56, 57, 59, 60, 62, 63, 64, 65, 66, 68, 69, 70, 71, 73, 74, 75, 76, 78, 82, 83, 85, 86, 87, 89, 90, 93, 94, 96, 97, 99, 101, 102, 103, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 118, 120, 121, 123, 124, 125, 127, 128, 129, 130, 132, 134, 135, 136, 137, 139, 140, 142, 143, 144, 145, 146, 147, 148, 149, 151, 152, 154, 155, 157, 158, 160, 161, 162, 163, 164, 165, 167, 168, 169, 170, 172, 174, 175, 176, 178, 180, 184, 185, 186, 187, 188, 191, 194, 195, 196, 198, 199, 200, 201, 202, 203, 204, 205, 207, 209, 210, 211, 213, 216, 218, 219], "given": [11, 52, 98, 161, 191, 208, 216], "valu": [11, 12, 14, 15, 16, 17, 18, 20, 36, 41, 46, 47, 48, 49, 55, 75, 76, 79, 80, 85, 97, 101, 102, 103, 114, 120, 121, 129, 130, 132, 134, 135, 139, 143, 161, 162, 163, 164, 165, 168, 175, 178, 180, 184, 185, 194, 195, 196, 199, 200, 201, 202, 203, 204, 205, 207, 208, 211, 212, 213, 214, 216, 220], "while": [11, 52, 101, 164, 165, 172, 208, 209, 211, 212, 214, 215, 216, 218, 220], "pull": 11, "element": [11, 12, 17, 19, 30, 54, 59, 83, 85, 97, 98, 101, 102, 105, 109, 114, 118, 121, 123, 124, 125, 127, 128, 129, 130, 132, 136, 137, 139, 142, 143, 144, 145, 146, 147, 148, 149, 151, 152, 154, 155, 157, 158, 164, 165, 167, 168, 175, 184, 185, 191, 211, 213, 214, 216, 220], "from": [11, 16, 21, 22, 24, 25, 27, 29, 39, 41, 42, 45, 46, 47, 50, 52, 55, 56, 78, 79, 80, 82, 83, 85, 99, 101, 102, 103, 115, 156, 161, 164, 165, 172, 175, 180, 184, 195, 196, 198, 199, 200, 204, 207, 211, 212, 213, 214, 215, 218], "t1": [11, 14, 15, 17, 18, 19, 29, 30, 31, 32, 33, 34, 42, 45, 46, 47, 50, 54, 79, 80, 83, 87, 89, 90, 91, 93, 94, 103, 115, 134, 140, 150, 156, 160, 164, 165, 167, 168, 175, 176, 178, 180, 186, 187, 189, 191, 196, 200, 207, 209, 220], "get": [11, 161, 208, 211, 214, 218], "take": [11, 52, 87, 89, 90, 143, 208, 211, 213, 214, 218, 220], "onli": [11, 21, 29, 38, 40, 42, 45, 46, 47, 50, 52, 55, 56, 79, 80, 82, 164, 165, 168, 172, 185, 189, 200, 208, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220], "tc": 11, "initi": [11, 48, 49, 101, 161, 208, 214, 216], "int": [11, 12, 14, 15, 17, 18, 19, 21, 24, 25, 26, 27, 48, 49, 52, 55, 57, 59, 75, 76, 82, 83, 85, 86, 89, 90, 92, 96, 97, 98, 102, 129, 130, 134, 142, 143, 160, 161, 162, 163, 167, 176, 178, 184, 185, 186, 187, 201, 202, 203, 204, 205, 208, 212, 214, 220], "0": [11, 12, 14, 15, 16, 18, 19, 21, 22, 24, 25, 26, 27, 30, 42, 44, 45, 46, 47, 48, 49, 50, 52, 55, 56, 57, 75, 76, 78, 82, 83, 86, 87, 91, 92, 96, 97, 98, 99, 101, 102, 103, 106, 129, 130, 134, 140, 142, 143, 160, 161, 162, 163, 164, 165, 167, 168, 169, 170, 172, 174, 175, 176, 178, 180, 184, 185, 186, 187, 188, 189, 191, 201, 202, 203, 204, 205, 211, 213, 214, 215, 216, 220], "j": [11, 24, 52, 87, 91, 121, 134, 215], "val": [11, 87, 214], "static_cast": [11, 24, 52, 91, 96, 176, 178, 208], "detail": [11, 21, 82, 91, 101, 194, 210, 212, 214], "value_promote_t": [11, 91], "assign": [11, 15, 16, 30, 175, 201, 202, 203, 204, 205, 207, 209, 214, 216, 218], "rank": [11, 12, 14, 15, 17, 18, 19, 21, 22, 42, 45, 46, 47, 48, 49, 50, 52, 55, 78, 82, 83, 85, 87, 92, 96, 99, 101, 102, 103, 134, 140, 142, 143, 160, 161, 167, 172, 180, 184, 185, 186, 187, 189, 191, 195, 196, 198, 199, 200, 201, 202, 203, 204, 205, 207, 208, 213, 214, 216, 220], "": [11, 12, 14, 15, 17, 18, 19, 21, 22, 29, 31, 32, 33, 34, 39, 47, 48, 49, 50, 52, 78, 82, 86, 96, 98, 99, 164, 165, 172, 174, 201, 202, 203, 204, 205, 207, 208, 212, 214, 215, 216], "all": [11, 12, 17, 19, 24, 25, 26, 27, 36, 42, 45, 46, 47, 49, 50, 52, 77, 87, 129, 130, 134, 142, 143, 160, 161, 164, 165, 168, 184, 185, 207, 208, 209, 211, 212, 213, 214, 215, 216, 218, 219, 220], "otherwis": [11, 12, 75, 80, 101, 220], "In": [11, 12, 42, 45, 46, 50, 52, 101, 102, 191, 207, 208, 210, 211, 213, 214, 216, 219, 220], "other": [11, 12, 29, 36, 50, 52, 78, 83, 129, 130, 191, 207, 208, 209, 214, 215, 219, 220], "word": [11, 12, 191], "index": [11, 12, 16, 18, 31, 32, 33, 34, 86, 101, 102, 103, 161, 162, 163, 194, 211, 214, 215, 219], "everi": [11, 12, 78, 83, 87, 114, 118, 123, 124, 125, 132, 136, 137, 139, 144, 145, 146, 147, 148, 149, 151, 152, 154, 155, 157, 158, 169, 207, 211, 212, 213, 218, 220], "dimens": [11, 12, 14, 15, 18, 24, 25, 26, 27, 31, 32, 33, 34, 52, 55, 56, 75, 76, 78, 82, 83, 85, 86, 87, 89, 90, 91, 92, 96, 97, 98, 99, 101, 102, 129, 130, 134, 140, 142, 143, 160, 161, 162, 163, 167, 180, 184, 185, 186, 187, 191, 196, 200, 201, 202, 203, 204, 205, 207, 211, 213, 214, 220], "same": [11, 12, 24, 25, 26, 27, 29, 33, 34, 42, 45, 46, 50, 52, 55, 56, 75, 76, 78, 79, 80, 82, 92, 99, 102, 103, 114, 164, 165, 168, 169, 207, 208, 209, 212, 213, 214, 216, 220], "zero": [11, 12, 13, 24, 26, 31, 32, 33, 34, 36, 75, 76, 178, 180, 216, 220], "arrai": [11, 14, 17, 19, 21, 55, 75, 76, 82, 85, 91, 102, 129, 130, 134, 142, 143, 160, 161, 162, 163, 172, 184, 185, 186, 187, 201, 204, 205, 211, 214, 220], "2d": [11, 25, 27, 32, 34, 38, 40, 75, 76, 101, 102, 129, 130, 143, 162, 163, 167, 170, 180, 211, 214, 220], "3d": [11, 24, 25, 26, 27, 52, 85, 143, 161, 211, 214], "4d": [11, 52, 75, 76, 96, 101, 129, 130, 143, 162, 163, 214, 220], "make": [11, 20, 36, 52, 78, 194, 211, 212, 214, 215, 216, 218, 219, 220], "set": [11, 14, 15, 17, 24, 26, 52, 75, 76, 134, 142, 164, 165, 209, 210, 214, 215, 216, 220], "c": [11, 21, 52, 55, 56, 79, 129, 130, 134, 186, 189, 201, 204, 205, 209, 211, 212, 215, 218, 219, 220], "count": [11, 12, 14, 15, 17, 18, 19, 59, 161, 175, 208, 214], "t3": [11, 12, 83, 134, 150, 156, 160, 207], "t4": [11, 12, 75, 76, 83, 129, 130, 143, 162, 163, 184, 220], "diag2": 11, "diag3": 11, "diag4": 11, "ident": [12, 209, 214, 215, 216, 220], "shapetyp": [12, 14, 15, 17, 18, 19, 21, 96, 161, 201, 202, 203, 204, 205, 208, 214], "std": [12, 14, 15, 17, 18, 19, 21, 38, 39, 40, 41, 52, 55, 82, 85, 96, 101, 160, 161, 172, 175, 194, 195, 196, 198, 199, 200, 201, 202, 203, 204, 205, 208, 209, 214], "enable_if_t": [12, 14, 15, 17, 18, 19, 21, 96, 101, 161, 201, 202, 203, 204, 205, 214], "is_array_v": [12, 14, 15, 17, 18, 19, 21, 96, 161, 201, 202, 203, 204, 205], "remove_cvref": [12, 14, 15, 17, 18, 19, 21, 96, 161, 194, 201, 202, 203, 204, 205, 214], "bool": [12, 14, 15, 17, 18, 19, 21, 38, 96, 101, 161, 194, 201, 202, 203, 204, 205, 214], "true": [12, 14, 15, 17, 18, 19, 21, 38, 75, 76, 79, 80, 96, 101, 161, 194, 201, 202, 203, 204, 205, 214], "pattern": [12, 220], "eye2": 12, "eye3": 12, "eye4": 12, "For": [12, 52, 79, 80, 99, 101, 132, 140, 167, 185, 207, 208, 209, 210, 213, 214, 215, 216, 218, 219, 220], "each": [12, 48, 49, 52, 82, 83, 85, 86, 91, 92, 96, 102, 103, 120, 121, 134, 135, 161, 167, 175, 184, 185, 191, 196, 198, 200, 208, 209, 213, 214, 215, 216, 218, 220], "where": [12, 21, 24, 26, 31, 32, 33, 34, 48, 49, 50, 55, 56, 75, 86, 87, 92, 101, 121, 161, 165, 167, 169, 180, 208, 211, 214, 219, 220], "everywher": 12, "els": [12, 80], "altern": [13, 36, 214, 215], "diag": [13, 36], "ey": [13, 36, 54, 220], "linspac": [13, 16, 36, 52, 83, 160], "logspac": [13, 36], "meshgrid": [13, 36], "ones": [13, 36, 52, 59, 184, 213, 220], "rang": [13, 14, 15, 36, 160, 210, 211, 220], "linearli": [14, 175, 220], "space": [14, 15, 18, 21, 30, 175, 215, 220], "number": [14, 15, 18, 30, 36, 48, 49, 52, 54, 79, 80, 89, 90, 91, 101, 102, 113, 116, 118, 119, 129, 130, 131, 132, 142, 143, 164, 165, 168, 172, 175, 184, 185, 191, 213, 214, 216, 218], "first": [14, 15, 18, 29, 32, 34, 52, 54, 79, 80, 92, 98, 103, 169, 170, 180, 188, 207, 208, 211, 213, 214, 215, 216, 218, 220], "last": [14, 15, 24, 25, 26, 27, 31, 32, 33, 34, 55, 99, 143, 160, 175, 191, 208, 213, 214, 216, 220], "step": [14, 15, 18, 52, 175, 215, 216, 220], "size": [14, 15, 18, 22, 24, 26, 29, 30, 31, 32, 33, 34, 48, 49, 52, 75, 76, 78, 82, 85, 87, 96, 99, 102, 134, 160, 161, 164, 165, 168, 169, 175, 186, 187, 191, 199, 200, 201, 202, 203, 204, 205, 207, 208, 213, 214, 216, 218], "determin": [14, 15, 18, 134, 191, 194, 213, 215, 216, 220], "shape": [14, 15, 17, 18, 19, 21, 52, 59, 83, 85, 161, 194, 201, 202, 203, 204, 205, 213, 214, 218], "dim": [14, 15, 18, 75, 76, 82, 86, 89, 90, 97, 98, 99, 102, 129, 130, 134, 142, 143, 162, 163, 176, 178, 184, 185, 186, 187, 201, 202, 203, 204, 205, 214], "start": [14, 15, 18, 31, 32, 33, 34, 83, 210, 211, 214, 218], "end": [14, 15, 52, 83, 175, 211, 212, 214, 220], 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32, 33, 34, 46, 52, 54, 55, 75, 76, 82, 83, 86, 87, 89, 90, 91, 96, 125, 129, 130, 132, 134, 140, 143, 160, 162, 163, 170, 185, 208, 211, 213, 214, 215, 216, 219, 220], "matrix": [16, 36, 42, 45, 46, 47, 50, 54, 56, 57, 59, 91, 180, 189, 211, 214, 220], "vector": [16, 21, 36, 48, 49, 50, 56, 134, 172, 175, 180, 208, 220], "mesh": 16, "grid": 16, "list": [16, 52, 97, 98, 102, 161, 214, 215, 218, 219, 220], "n": [16, 30, 47, 48, 49, 55, 83, 85, 102, 160, 167, 176, 178, 187, 211, 214, 216, 219], "rank1": 16, "defin": [16, 21, 79, 80, 129, 130, 134, 150, 156, 164, 165, 208, 210, 212, 215], "rankn": 16, "cartisian": [16, 150], "transpos": [16, 36, 46, 47, 52, 82, 84, 95, 115, 211, 219, 220], "xv": [16, 22, 180], "dtype": [16, 54], "yd": 16, "xd": 16, "yv": 16, "x": [16, 18, 49, 52, 57, 120, 121, 132, 134, 150, 156, 160, 180, 195, 196, 198, 199, 200, 201, 202, 203, 205, 216], "y": [16, 132, 150, 156, 180, 195, 196, 198, 199, 200, 201, 202, 203, 205], "extent": 16, "xx": 16, "yy": 16, "one": 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168, 172, 184, 185, 186, 187, 194, 218, 219], "cpu": [22, 24, 25, 26, 27, 44, 52, 55, 172, 218, 219, 220], "outputtensor": [22, 24, 25, 26, 27, 42, 45, 50, 78, 99, 140, 164, 165, 167, 168, 188, 191], "inputtensor": [22, 24, 25, 26, 27, 78, 99], "out": [22, 24, 25, 26, 27, 42, 45, 46, 50, 52, 57, 78, 82, 99, 160, 164, 165, 169, 174, 191, 208, 212, 216, 220], "discret": [22, 36, 218], "comput": [22, 47, 50, 59, 60, 62, 63, 64, 65, 66, 68, 69, 70, 71, 73, 74, 85, 111, 113, 114, 118, 120, 121, 123, 124, 125, 127, 128, 129, 130, 132, 134, 135, 136, 137, 139, 140, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 154, 155, 156, 157, 158, 160, 162, 163, 184, 185, 186, 187, 189, 191, 208, 211, 215, 218, 220], "must": [22, 24, 26, 42, 48, 49, 52, 78, 79, 80, 82, 92, 96, 99, 102, 164, 165, 167, 168, 180, 185, 195, 196, 199, 200, 208, 209, 212, 214, 215, 220], "match": [22, 24, 25, 26, 27, 52, 82, 96, 99, 134, 169, 180, 196, 199, 200, 207, 208, 212, 214, 216, 220], "implement": [22, 99, 134, 172, 208, 212], "2n": [22, 167], "pad": [22, 24, 26, 216], "makhoul": 22, "method": [22, 47, 48, 49, 52, 175, 188, 208, 214, 215, 220], "which": [22, 45, 52, 78, 98, 101, 103, 134, 160, 174, 207, 208, 212, 215, 220], "offload": 22, "complex": [22, 29, 36, 55, 57, 79, 80, 113, 114, 115, 116, 118, 119, 131, 132, 175, 194, 208, 209, 211, 214, 215, 216, 220], "process": [22, 36, 167, 215, 218, 219], "cufft": [22, 29, 215], "sig_siz": 22, "1d": [24, 26, 31, 33, 38, 40, 83, 85, 86, 87, 92, 96, 101, 103, 167, 169, 174, 184, 211, 214, 220], "o": [24, 25, 26, 27, 169, 170, 172, 188], "uint64_t": [24, 26, 161, 209], "fft_size": [24, 26], "cach": [24, 25, 26, 27, 42, 46, 47, 50, 55, 56, 189, 207, 214, 215, 219], "plan": [24, 25, 26, 27, 42, 46, 47, 50, 52, 55, 56, 172, 189], "none": [24, 25, 26, 27, 55, 56, 189, 220], "execut": [24, 25, 26, 27, 55, 56, 57, 79, 80, 172, 189, 214, 215, 217, 219, 220], "note": [24, 25, 26, 27, 33, 34, 50, 129, 130, 134, 180, 211, 214, 215, 216, 218, 219], "ifft": 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149, 211], "fft2": [28, 36, 211], "ifft2": [28, 36, 211], "r2c": [28, 36], "full": [29, 169, 188, 209, 215, 216, 218], "spectrum": 29, "orig": 29, "half": [29, 194, 209], "conjug": [29, 114, 115], "view": [29, 31, 32, 33, 34, 38, 39, 40, 41, 45, 46, 47, 50, 52, 54, 59, 75, 76, 78, 79, 80, 82, 91, 98, 99, 101, 115, 129, 130, 142, 143, 161, 162, 163, 184, 185, 186, 187, 189, 194, 195, 196, 198, 199, 200, 208, 214, 216, 218, 219], "op": [29, 31, 32, 33, 34, 60, 62, 63, 64, 65, 66, 68, 69, 70, 71, 73, 74, 82, 83, 85, 89, 90, 92, 96, 97, 98, 101, 102, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 116, 118, 119, 120, 121, 123, 124, 125, 127, 128, 132, 135, 136, 137, 139, 144, 145, 146, 147, 148, 149, 151, 152, 154, 155, 157, 158, 176, 178, 214, 220], "shift": [29, 31, 32, 33, 34, 36, 84, 95, 180], "origin": [29, 33, 34, 82, 87, 96, 99, 214, 220], "need": [29, 42, 45, 46, 47, 50, 52, 103, 164, 165, 168, 194, 208, 212, 215, 216, 218, 220], "disambigu": 29, "integ": [29, 79, 80, 136, 137, 139, 209, 214], "divis": [29, 105, 106, 184, 211], "give": [29, 31, 32, 33, 34, 52, 79, 80, 96, 140, 187, 211, 213, 215, 216, 218, 220], "bin": [30, 191], "center": [30, 31, 32], "cycl": 30, "unit": [30, 209, 211, 218], "sampl": [30, 31, 32, 33, 34, 175, 176, 180], "frequenc": [30, 31, 32, 33, 34, 175, 180, 216], "known": [30, 164, 165, 168, 208, 220], "5": [30, 52, 55, 83, 86, 98, 106, 129, 130, 162, 163, 164, 165, 176, 178, 211, 214, 215, 216, 220], "compon": [31, 32, 38, 40, 116, 119, 214, 215], "fftshift": [31, 33, 34], "begin": [31, 32, 33, 34, 212, 214], "leav": [31, 32, 33, 34, 194, 214], "order": [31, 32, 33, 34, 50, 82, 99, 160, 167, 198, 211, 214, 216, 219, 220], "dc": [31, 32, 33, 34], "posit": [31, 32, 33, 34, 42, 98], "neg": [31, 32, 33, 34, 98, 219], "signal": [31, 32, 33, 34, 36, 49, 172, 174, 175, 176, 178, 180, 216, 218], "ifftshift": [32, 33, 34], "swap": [32, 34, 209, 214, 220], "quadrant": [32, 34], "third": [32, 34, 52, 80, 211, 218], "second": [32, 34, 54, 79, 80, 104, 106, 108, 109, 112, 169, 170, 180, 188, 207, 211, 213, 214, 220], "fourth": [32, 34], "exec": [32, 34, 59, 60, 62, 63, 64, 65, 66, 68, 69, 70, 71, 73, 74, 75, 76, 78, 79, 80, 83, 86, 87, 93, 94, 97, 98, 99, 102, 104, 105, 106, 108, 109, 110, 111, 112, 113, 114, 115, 116, 118, 119, 120, 121, 123, 124, 125, 127, 128, 129, 130, 132, 135, 136, 137, 139, 140, 142, 143, 144, 145, 146, 147, 148, 149, 151, 152, 154, 155, 157, 158, 160, 162, 163, 164, 165, 167, 168, 176, 178, 184, 185, 186, 187, 219, 220], "back": [33, 34, 78, 208, 213, 214, 220], "even": [33, 34, 185], "fftfreq": [35, 36], "fftshift1d": [35, 36], "fftshift2d": [35, 36], "ifftshift1d": [35, 36], "ifftshift2d": [35, 36], "creation": [36, 208, 212, 220], "manipul": [36, 218], "basic": [36, 84, 208, 211, 218, 220], "IF": [36, 81, 84, 164, 165], "ifels": [36, 81, 84, 220], "slice": [36, 55, 81, 84, 103, 211, 214, 218], "join": [36, 84], "repeat": [36, 84, 91, 207, 208, 211, 214], "clone": [36, 84, 88, 211, 214, 215, 220], 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+1,7 @@ .. _chirp_func: chirp -========= +===== Creates a real chirp signal (swept-frequency cosine) @@ -19,7 +19,7 @@ Examples cchirp -========= +====== Creates a complex chirp signal (swept-frequency cosine) diff --git a/docs_input/api/signalimage/general/downsample.rst b/docs_input/api/signalimage/general/downsample.rst new file mode 100644 index 000000000..7304bdfdf --- /dev/null +++ b/docs_input/api/signalimage/general/downsample.rst @@ -0,0 +1,17 @@ +.. _downsample_func: + +downsample +========== + +downsample a signal by dropping samples + +.. doxygenfunction:: downsample + +Examples +~~~~~~~~ + +.. literalinclude:: ../../../../test/00_operators/OperatorTests.cu + :language: cpp + :start-after: example-begin downsample-test-1 + :end-before: example-end downsample-test-1 + :dedent: diff --git a/docs_input/api/signalimage/general/upsample.rst b/docs_input/api/signalimage/general/upsample.rst new file mode 100644 index 000000000..ab9c70925 --- /dev/null +++ b/docs_input/api/signalimage/general/upsample.rst @@ -0,0 +1,17 @@ +.. _upsample_func: + +upsample +======== + +Upsample a signal by stuffing zeros + +.. doxygenfunction:: upsample + +Examples +~~~~~~~~ + +.. literalinclude:: ../../../../test/00_operators/OperatorTests.cu + :language: cpp + :start-after: example-begin upsample-test-1 + :end-before: example-end upsample-test-1 + :dedent: diff --git a/include/matx/operators/operators.h b/include/matx/operators/operators.h index f0e18cc78..c3121bc5c 100644 --- a/include/matx/operators/operators.h +++ b/include/matx/operators/operators.h @@ -58,6 +58,7 @@ #include "matx/operators/r2c.h" #include "matx/operators/remap.h" #include "matx/operators/repmat.h" +#include "matx/operators/resample.h" #include "matx/operators/reshape.h" #include "matx/operators/reverse.h" #include "matx/operators/select.h" diff --git a/include/matx/operators/updownsample.h b/include/matx/operators/updownsample.h new file mode 100644 index 000000000..e6ff463f8 --- /dev/null +++ b/include/matx/operators/updownsample.h @@ -0,0 +1,137 @@ +//////////////////////////////////////////////////////////////////////////////// +// BSD 3-Clause License +// +// Copyright (c) 2021, NVIDIA Corporation +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without +// modification, are permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this +// list of conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, +// this list of conditions and the following disclaimer in the documentation +// and/or other materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its +// contributors may be used to endorse or promote products derived from +// this software without specific prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +// DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE +// FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL +// DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR +// SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +// CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, +// OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +///////////////////////////////////////////////////////////////////////////////// + +#pragma once + + +#include "matx/core/type_utils.h" +#include "matx/operators/base_operator.h" + +namespace matx +{ +/** + * Upsamples a signal by stuffing zeros + */ + namespace detail { + template + class UpsampleOp : public BaseOp> + { + private: + T op_; + int32_t dim_; + index_t n_; + + public: + using matxop = bool; + using matxoplvalue = bool; + using scalar_type = typename T::scalar_type; + + static __MATX_INLINE__ constexpr __MATX_HOST__ __MATX_DEVICE__ int32_t Rank() + { + return T::Rank(); + } + + static_assert(Rank() > 0, "UpsampleOp: Rank of operator must be greater than 0."); + + __MATX_INLINE__ std::string str() const { return "upsample(" + op_.str() + ")"; } + + __MATX_INLINE__ UpsampleOp(const T &op, int32_t dim, index_t n) : op_(op), dim_(dim), n_(n) { + }; + + template + __MATX_INLINE__ __MATX_DEVICE__ __MATX_HOST__ auto operator()(Is... indices) const + { + static_assert(sizeof...(Is)==Rank()); + static_assert((std::is_convertible_v && ... )); + + // convert variadic type to tuple so we can read/update + std::array ind{indices...}; + if ((ind[dim_] % n_) == 0) { + ind[dim_] /= n_; + return mapply(op_, ind); + } + + return static_cast(0); + } + + constexpr __MATX_INLINE__ __MATX_HOST__ __MATX_DEVICE__ index_t Size(int32_t dim) const + { + if (dim == dim_) { + return (op_.Size(dim) - 1) * n_ + 1; + } + else { + return op_.Size(dim); + } + } + + template __MATX_INLINE__ auto operator=(const R &rhs) { return set(*this, rhs); } + }; + } + + /** + * @brief Operator to upsample an operator by inserting zeros between values + * + * @tparam T Input operator/tensor type + * @param op Input operator + * @param dim the factor to upsample + * @param n Upsample rate + * @return Upsampled operator + */ + template + __MATX_INLINE__ auto upsample( const T &op, int32_t dim, index_t n) { + return detail::UpsampleOp(op, dim, n); + } + + /** + * @brief Operator to downsample an operator by dropping samples + * + * @tparam T Input operator/tensor type + * @param op Input operator + * @param dim the factor to downsample + * @param n Downsample rate + * @return Downsample operator + */ + template + __MATX_INLINE__ auto downsample( const T &op, int32_t dim, index_t n) { + index_t starts[T::Rank()]; + index_t ends[T::Rank()]; + index_t strides[T::Rank()]; + + for (int32_t r = 0; r < T::Rank(); r++) { + starts[r] = 0; + ends[r] = matxEnd; + strides[r] = (r == dim) ? n : 1; + } + + return slice(op, starts, ends, strides); + } +} // end namespace matx diff --git a/test/00_operators/OperatorTests.cu b/test/00_operators/OperatorTests.cu index f4a70c774..a114dfed4 100644 --- a/test/00_operators/OperatorTests.cu +++ b/test/00_operators/OperatorTests.cu @@ -2984,6 +2984,77 @@ TYPED_TEST(OperatorTestsFloatNonComplexAllExecs, Sphere2Cart) MATX_EXIT_HANDLER(); } +TYPED_TEST(OperatorTestsNumericAllExecs, Upsample) +{ + MATX_ENTER_HANDLER(); + using TestType = std::tuple_element_t<0, TypeParam>; + using ExecType = std::tuple_element_t<1, TypeParam>; + + ExecType exec{}; + + { + // example-begin upsample-test-1 + // Upsample a signal of length 100 by 5 + int n = 5; + + auto t1 = make_tensor({100}); + (t1 = static_cast(1)).run(exec); + auto us_op = upsample(t1, 0, n); + // example-end upsample-test-1 + + ASSERT_TRUE(us_op.Size(0) == (t1.Size(0) - 1) * n + 1); + for (index_t i = 0; i < us_op.Size(0); i++) { + if ((i % n) == 0) { + MatXUtils::MatXTypeCompare(us_op(i), t1(i / n)); + } + else { + MatXUtils::MatXTypeCompare(us_op(i), static_cast(0)); + } + } + } + + MATX_EXIT_HANDLER(); +} + +TYPED_TEST(OperatorTestsNumericAllExecs, Downsample) +{ + MATX_ENTER_HANDLER(); + using TestType = std::tuple_element_t<0, TypeParam>; + using ExecType = std::tuple_element_t<1, TypeParam>; + + ExecType exec{}; + + { + // example-begin downsample-test-1 + int n = 5; + + auto t1 = make_tensor({100}); + (t1 = static_cast(1)).run(exec); + auto ds_op = downsample(t1, 0, n); + // example-end downsample-test-1 + + ASSERT_TRUE(ds_op.Size(0) == t1.Size(0) / n); + for (index_t i = 0; i < ds_op.Size(0); i++) { + MatXUtils::MatXTypeCompare(ds_op(i), t1(i * n)); + } + } + + { + int n = 3; + + auto t1 = make_tensor({100}); + (t1 = static_cast(1)).run(exec); + auto ds_op = downsample(t1, 0, n); + + ASSERT_TRUE(ds_op.Size(0) == t1.Size(0) / n + 1); + for (index_t i = 0; i < ds_op.Size(0); i++) { + MatXUtils::MatXTypeCompare(ds_op(i), t1(i * n)); + } + } + + MATX_EXIT_HANDLER(); +} + TYPED_TEST(OperatorTestsNumericAllExecs, ShiftOp) { MATX_ENTER_HANDLER(); From 145541b8d155214aec49103a74f0fa8b510e2d6e Mon Sep 17 00:00:00 2001 From: Cliff Burdick <30670611+cliffburdick@users.noreply.github.com> Date: Wed, 5 Jul 2023 19:45:26 -0700 Subject: [PATCH 2/2] Update operators.h --- include/matx/operators/operators.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/include/matx/operators/operators.h b/include/matx/operators/operators.h index c3121bc5c..684eaa89c 100644 --- a/include/matx/operators/operators.h +++ b/include/matx/operators/operators.h @@ -58,7 +58,6 @@ #include "matx/operators/r2c.h" #include "matx/operators/remap.h" #include "matx/operators/repmat.h" -#include "matx/operators/resample.h" #include "matx/operators/reshape.h" #include "matx/operators/reverse.h" #include "matx/operators/select.h" @@ -69,3 +68,4 @@ #include "matx/operators/slice.h" #include "matx/operators/sph2cart.h" #include "matx/operators/stack.h" +#include "matx/operators/updownsample.h"