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<!DOCTYPE html>
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<title>arrayfire.signal — ArrayFire Python documentation</title>
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<h1>Source code for arrayfire.signal</h1><div class="highlight"><pre>
<span></span><span class="c1">#######################################################</span>
<span class="c1"># Copyright (c) 2015, ArrayFire</span>
<span class="c1"># All rights reserved.</span>
<span class="c1">#</span>
<span class="c1"># This file is distributed under 3-clause BSD license.</span>
<span class="c1"># The complete license agreement can be obtained at:</span>
<span class="c1"># http://arrayfire.com/licenses/BSD-3-Clause</span>
<span class="c1">########################################################</span>
<span class="sd">"""</span>
<span class="sd">Signal processing functions (fft, convolve, etc).</span>
<span class="sd">"""</span>
<span class="kn">from</span> <span class="nn">.library</span> <span class="kn">import</span> <span class="o">*</span>
<span class="kn">from</span> <span class="nn">.array</span> <span class="kn">import</span> <span class="o">*</span>
<span class="kn">from</span> <span class="nn">.bcast</span> <span class="kn">import</span> <span class="n">broadcast</span>
<span class="nd">@broadcast</span>
<span class="k">def</span> <span class="nf">_scale_pos_axis0</span><span class="p">(</span><span class="n">x_curr</span><span class="p">,</span> <span class="n">x_orig</span><span class="p">):</span>
<span class="n">x0</span> <span class="o">=</span> <span class="n">x_orig</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span>
<span class="n">dx</span> <span class="o">=</span> <span class="n">x_orig</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="n">x0</span>
<span class="k">return</span><span class="p">((</span><span class="n">x_curr</span> <span class="o">-</span> <span class="n">x0</span><span class="p">)</span> <span class="o">/</span> <span class="n">dx</span><span class="p">)</span>
<span class="nd">@broadcast</span>
<span class="k">def</span> <span class="nf">_scale_pos_axis1</span><span class="p">(</span><span class="n">y_curr</span><span class="p">,</span> <span class="n">y_orig</span><span class="p">):</span>
<span class="n">y0</span> <span class="o">=</span> <span class="n">y_orig</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span>
<span class="n">dy</span> <span class="o">=</span> <span class="n">y_orig</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="n">y0</span>
<span class="k">return</span><span class="p">((</span><span class="n">y_curr</span> <span class="o">-</span> <span class="n">y0</span><span class="p">)</span> <span class="o">/</span> <span class="n">dy</span><span class="p">)</span>
<div class="viewcode-block" id="approx1"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.approx1">[docs]</a><span class="k">def</span> <span class="nf">approx1</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">method</span><span class="o">=</span><span class="n">INTERP</span><span class="o">.</span><span class="n">LINEAR</span><span class="p">,</span> <span class="n">off_grid</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">xp</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span> <span class="n">output</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Interpolate along a single dimension.Interpolation is performed along axis 0</span>
<span class="sd"> of the input array.</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> Input signal array (signal = f(x))</span>
<span class="sd"> x: af.Array</span>
<span class="sd"> The x-coordinates of the interpolation points. The interpolation </span>
<span class="sd"> function is queried at these set of points.</span>
<span class="sd"> method: optional: af.INTERP. default: af.INTERP.LINEAR.</span>
<span class="sd"> Interpolation method.</span>
<span class="sd"> off_grid: optional: scalar. default: 0.0.</span>
<span class="sd"> The value used for positions outside the range.</span>
<span class="sd"> xp : af.Array</span>
<span class="sd"> The x-coordinates of the input data points</span>
<span class="sd"> output: None or af.Array</span>
<span class="sd"> Optional preallocated output array. If it is a sub-array of an existing af_array,</span>
<span class="sd"> only the corresponding portion of the af_array will be overwritten</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> Values calculated at interpolation points.</span>
<span class="sd"> Note</span>
<span class="sd"> -----</span>
<span class="sd"> This holds applicable when x_input isn't provided:</span>
<span class="sd"> The initial measurements are assumed to have taken place at equal steps between [0, N - 1],</span>
<span class="sd"> where N is the length of the first dimension of `signal`.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">output</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="k">if</span><span class="p">(</span><span class="n">xp</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">):</span>
<span class="n">pos0</span> <span class="o">=</span> <span class="n">_scale_pos_axis0</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">xp</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">pos0</span> <span class="o">=</span> <span class="n">x</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_approx1</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">pos0</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span>
<span class="n">method</span><span class="o">.</span><span class="n">value</span><span class="p">,</span> <span class="n">c_float_t</span><span class="p">(</span><span class="n">off_grid</span><span class="p">)))</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">if</span><span class="p">(</span><span class="n">xp</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">):</span>
<span class="n">pos0</span> <span class="o">=</span> <span class="n">_scale_pos_axis0</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">xp</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">pos0</span> <span class="o">=</span> <span class="n">x</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_approx1_v2</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">pos0</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span>
<span class="n">method</span><span class="o">.</span><span class="n">value</span><span class="p">,</span> <span class="n">c_float_t</span><span class="p">(</span><span class="n">off_grid</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="approx1_uniform"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.approx1_uniform">[docs]</a><span class="k">def</span> <span class="nf">approx1_uniform</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">interp_dim</span><span class="p">,</span> <span class="n">idx_start</span><span class="p">,</span> <span class="n">idx_step</span><span class="p">,</span> <span class="n">method</span><span class="o">=</span><span class="n">INTERP</span><span class="o">.</span><span class="n">LINEAR</span><span class="p">,</span> <span class="n">off_grid</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">output</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Interpolation on one dimensional signals along specified dimension.</span>
<span class="sd"> af_approx1_uniform() accepts the dimension to perform the interpolation along the input.</span>
<span class="sd"> It also accepts start and step values which define the uniform range of corresponding indices.</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> Input signal array (signal = f(x))</span>
<span class="sd"> x: af.Array</span>
<span class="sd"> The x-coordinates of the interpolation points. The interpolation </span>
<span class="sd"> function is queried at these set of points.</span>
<span class="sd"> interp_dim: scalar</span>
<span class="sd"> is the dimension to perform interpolation across.</span>
<span class="sd"> idx_start: scalar</span>
<span class="sd"> is the first index value along interp_dim.</span>
<span class="sd"> idx_step: scalar</span>
<span class="sd"> is the uniform spacing value between subsequent indices along interp_dim.</span>
<span class="sd"> method: optional: af.INTERP. default: af.INTERP.LINEAR.</span>
<span class="sd"> Interpolation method.</span>
<span class="sd"> off_grid: optional: scalar. default: 0.0.</span>
<span class="sd"> The value used for positions outside the range.</span>
<span class="sd"> output: None or af.Array</span>
<span class="sd"> Optional preallocated output array. If it is a sub-array of an existing af_array,</span>
<span class="sd"> only the corresponding portion of the af_array will be overwritten</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> Values calculated at interpolation points.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">output</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_approx1_uniform</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">x</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span>
<span class="n">c_dim_t</span><span class="p">(</span><span class="n">interp_dim</span><span class="p">),</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">idx_start</span><span class="p">),</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">idx_step</span><span class="p">),</span>
<span class="n">method</span><span class="o">.</span><span class="n">value</span><span class="p">,</span> <span class="n">c_float_t</span><span class="p">(</span><span class="n">off_grid</span><span class="p">)))</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_approx1_uniform_v2</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">x</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span>
<span class="n">c_dim_t</span><span class="p">(</span><span class="n">interp_dim</span><span class="p">),</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">idx_start</span><span class="p">),</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">idx_step</span><span class="p">),</span>
<span class="n">method</span><span class="o">.</span><span class="n">value</span><span class="p">,</span> <span class="n">c_float_t</span><span class="p">(</span><span class="n">off_grid</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="approx2"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.approx2">[docs]</a><span class="k">def</span> <span class="nf">approx2</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span>
<span class="n">method</span><span class="o">=</span><span class="n">INTERP</span><span class="o">.</span><span class="n">LINEAR</span><span class="p">,</span> <span class="n">off_grid</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">xp</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span> <span class="n">yp</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span> <span class="n">output</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Interpolate along a two dimension.Interpolation is performed along axes 0 and 1</span>
<span class="sd"> of the input array.</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> Input signal array (signal = f(x, y))</span>
<span class="sd"> x : af.Array</span>
<span class="sd"> The x-coordinates of the interpolation points. The interpolation </span>
<span class="sd"> function is queried at these set of points.</span>
<span class="sd"> y : af.Array</span>
<span class="sd"> The y-coordinates of the interpolation points. The interpolation </span>
<span class="sd"> function is queried at these set of points.</span>
<span class="sd"> method: optional: af.INTERP. default: af.INTERP.LINEAR.</span>
<span class="sd"> Interpolation method.</span>
<span class="sd"> off_grid: optional: scalar. default: 0.0.</span>
<span class="sd"> The value used for positions outside the range.</span>
<span class="sd"> xp : af.Array</span>
<span class="sd"> The x-coordinates of the input data points. The convention followed is that</span>
<span class="sd"> the x-coordinates vary along axis 0</span>
<span class="sd"> yp : af.Array</span>
<span class="sd"> The y-coordinates of the input data points. The convention followed is that</span>
<span class="sd"> the y-coordinates vary along axis 1</span>
<span class="sd"> output: None or af.Array</span>
<span class="sd"> Optional preallocated output array. If it is a sub-array of an existing af_array,</span>
<span class="sd"> only the corresponding portion of the af_array will be overwritten</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> Values calculated at interpolation points.</span>
<span class="sd"> Note</span>
<span class="sd"> -----</span>
<span class="sd"> This holds applicable when x_input/y_input isn't provided:</span>
<span class="sd"> The initial measurements are assumed to have taken place at equal steps between [(0,0) - [M - 1, N - 1]]</span>
<span class="sd"> where M is the length of the first dimension of `signal`,</span>
<span class="sd"> and N is the length of the second dimension of `signal`.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">output</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="k">if</span><span class="p">(</span><span class="n">xp</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">):</span>
<span class="n">pos0</span> <span class="o">=</span> <span class="n">_scale_pos_axis0</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">xp</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">pos0</span> <span class="o">=</span> <span class="n">x</span>
<span class="k">if</span><span class="p">(</span><span class="n">yp</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">):</span>
<span class="n">pos1</span> <span class="o">=</span> <span class="n">_scale_pos_axis1</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="n">yp</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">pos1</span> <span class="o">=</span> <span class="n">y</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_approx2</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span>
<span class="n">pos0</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">pos1</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">method</span><span class="o">.</span><span class="n">value</span><span class="p">,</span> <span class="n">c_float_t</span><span class="p">(</span><span class="n">off_grid</span><span class="p">)))</span>
<span class="k">else</span><span class="p">:</span>
<span class="k">if</span><span class="p">(</span><span class="n">xp</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">):</span>
<span class="n">pos0</span> <span class="o">=</span> <span class="n">_scale_pos_axis0</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">xp</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">pos0</span> <span class="o">=</span> <span class="n">x</span>
<span class="k">if</span><span class="p">(</span><span class="n">yp</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">):</span>
<span class="n">pos1</span> <span class="o">=</span> <span class="n">_scale_pos_axis1</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="n">yp</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">pos1</span> <span class="o">=</span> <span class="n">y</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_approx2_v2</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span>
<span class="n">pos0</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">pos1</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">method</span><span class="o">.</span><span class="n">value</span><span class="p">,</span> <span class="n">c_float_t</span><span class="p">(</span><span class="n">off_grid</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="approx2_uniform"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.approx2_uniform">[docs]</a><span class="k">def</span> <span class="nf">approx2_uniform</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">pos0</span><span class="p">,</span> <span class="n">interp_dim0</span><span class="p">,</span> <span class="n">idx_start0</span><span class="p">,</span> <span class="n">idx_step0</span><span class="p">,</span> <span class="n">pos1</span><span class="p">,</span> <span class="n">interp_dim1</span><span class="p">,</span> <span class="n">idx_start1</span><span class="p">,</span> <span class="n">idx_step1</span><span class="p">,</span>
<span class="n">method</span><span class="o">=</span><span class="n">INTERP</span><span class="o">.</span><span class="n">LINEAR</span><span class="p">,</span> <span class="n">off_grid</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">output</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Interpolate along two uniformly spaced dimensions of the input array.</span>
<span class="sd"> af_approx2_uniform() accepts two dimensions to perform the interpolation along the input.</span>
<span class="sd"> It also accepts start and step values which define the uniform range of corresponding indices.</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> Input signal array (signal = f(x, y))</span>
<span class="sd"> pos0 : af.Array</span>
<span class="sd"> positions of the interpolation points along interp_dim0.</span>
<span class="sd"> interp_dim0: scalar</span>
<span class="sd"> is the first dimension to perform interpolation across.</span>
<span class="sd"> idx_start0: scalar</span>
<span class="sd"> is the first index value along interp_dim0.</span>
<span class="sd"> idx_step0: scalar</span>
<span class="sd"> is the uniform spacing value between subsequent indices along interp_dim0.</span>
<span class="sd"> pos1 : af.Array</span>
<span class="sd"> positions of the interpolation points along interp_dim1.</span>
<span class="sd"> interp_dim1: scalar</span>
<span class="sd"> is the second dimension to perform interpolation across.</span>
<span class="sd"> idx_start1: scalar</span>
<span class="sd"> is the first index value along interp_dim1.</span>
<span class="sd"> idx_step1: scalar</span>
<span class="sd"> is the uniform spacing value between subsequent indices along interp_dim1.</span>
<span class="sd"> method: optional: af.INTERP. default: af.INTERP.LINEAR.</span>
<span class="sd"> Interpolation method.</span>
<span class="sd"> off_grid: optional: scalar. default: 0.0.</span>
<span class="sd"> The value used for positions outside the range.</span>
<span class="sd"> output: None or af.Array</span>
<span class="sd"> Optional preallocated output array. If it is a sub-array of an existing af_array,</span>
<span class="sd"> only the corresponding portion of the af_array will be overwritten</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> Values calculated at interpolation points.</span>
<span class="sd"> Note</span>
<span class="sd"> -----</span>
<span class="sd"> This holds applicable when x_input/y_input isn't provided:</span>
<span class="sd"> The initial measurements are assumed to have taken place at equal steps between [(0,0) - [M - 1, N - 1]]</span>
<span class="sd"> where M is the length of the first dimension of `signal`,</span>
<span class="sd"> and N is the length of the second dimension of `signal`.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">output</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_approx2_uniform</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span>
<span class="n">pos0</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">interp_dim0</span><span class="p">),</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">idx_start0</span><span class="p">),</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">idx_step0</span><span class="p">),</span>
<span class="n">pos1</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">interp_dim1</span><span class="p">),</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">idx_start1</span><span class="p">),</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">idx_step1</span><span class="p">),</span>
<span class="n">method</span><span class="o">.</span><span class="n">value</span><span class="p">,</span> <span class="n">c_float_t</span><span class="p">(</span><span class="n">off_grid</span><span class="p">)))</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_approx2_uniform_v2</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span>
<span class="n">pos0</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">interp_dim0</span><span class="p">),</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">idx_start0</span><span class="p">),</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">idx_step0</span><span class="p">),</span>
<span class="n">pos1</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">interp_dim1</span><span class="p">),</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">idx_start1</span><span class="p">),</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">idx_step1</span><span class="p">),</span>
<span class="n">method</span><span class="o">.</span><span class="n">value</span><span class="p">,</span> <span class="n">c_float_t</span><span class="p">(</span><span class="n">off_grid</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="fft"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.fft">[docs]</a><span class="k">def</span> <span class="nf">fft</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">dim0</span> <span class="o">=</span> <span class="kc">None</span> <span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Fast Fourier Transform: 1D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 1 dimensional signal or a batch of 1 dimensional signals.</span>
<span class="sd"> dim0: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim0 is calculated to be the first dimension of `signal`.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> A complex af.Array containing the full output of the fft.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">dim0</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_fft</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">),</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim0</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="fft2"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.fft2">[docs]</a><span class="k">def</span> <span class="nf">fft2</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">dim0</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span> <span class="n">dim1</span> <span class="o">=</span> <span class="kc">None</span> <span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Fast Fourier Transform: 2D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 2 dimensional signal or a batch of 2 dimensional signals.</span>
<span class="sd"> dim0: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim0 is calculated to be the first dimension of `signal`.</span>
<span class="sd"> dim1: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim1 is calculated to be the second dimension of `signal`.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> A complex af.Array containing the full output of the fft.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">dim0</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">if</span> <span class="n">dim1</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim1</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_fft2</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">),</span>
<span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim0</span><span class="p">),</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim1</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="fft3"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.fft3">[docs]</a><span class="k">def</span> <span class="nf">fft3</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">dim0</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span> <span class="n">dim1</span> <span class="o">=</span> <span class="kc">None</span> <span class="p">,</span> <span class="n">dim2</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Fast Fourier Transform: 3D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 3 dimensional signal or a batch of 3 dimensional signals.</span>
<span class="sd"> dim0: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim0 is calculated to be the first dimension of `signal`.</span>
<span class="sd"> dim1: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim1 is calculated to be the second dimension of `signal`.</span>
<span class="sd"> dim2: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim2 is calculated to be the third dimension of `signal`.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> A complex af.Array containing the full output of the fft.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">dim0</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">if</span> <span class="n">dim1</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim1</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">if</span> <span class="n">dim2</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim2</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_fft3</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">),</span>
<span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim0</span><span class="p">),</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim1</span><span class="p">),</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim2</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="ifft"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.ifft">[docs]</a><span class="k">def</span> <span class="nf">ifft</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">dim0</span> <span class="o">=</span> <span class="kc">None</span> <span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Inverse Fast Fourier Transform: 1D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 1 dimensional signal or a batch of 1 dimensional signals.</span>
<span class="sd"> dim0: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim0 is calculated to be the first dimension of `signal`.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.0 / (dim0)</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> A complex af.Array containing the full output of the inverse fft.</span>
<span class="sd"> Note</span>
<span class="sd"> ----</span>
<span class="sd"> The output is always complex.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">dim0</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="n">signal</span><span class="o">.</span><span class="n">dims</span><span class="p">()[</span><span class="mi">0</span><span class="p">]</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span><span class="o">/</span><span class="nb">float</span><span class="p">(</span><span class="n">dim0</span><span class="p">)</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_ifft</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">),</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim0</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="ifft2"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.ifft2">[docs]</a><span class="k">def</span> <span class="nf">ifft2</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">dim0</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span> <span class="n">dim1</span> <span class="o">=</span> <span class="kc">None</span> <span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Inverse Fast Fourier Transform: 2D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 2 dimensional signal or a batch of 2 dimensional signals.</span>
<span class="sd"> dim0: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim0 is calculated to be the first dimension of `signal`.</span>
<span class="sd"> dim1: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim1 is calculated to be the second dimension of `signal`.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.0 / (dim0 * dim1)</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> A complex af.Array containing the full output of the inverse fft.</span>
<span class="sd"> Note</span>
<span class="sd"> ----</span>
<span class="sd"> The output is always complex.</span>
<span class="sd"> """</span>
<span class="n">dims</span> <span class="o">=</span> <span class="n">signal</span><span class="o">.</span><span class="n">dims</span><span class="p">()</span>
<span class="k">if</span> <span class="n">dim0</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="n">dims</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="k">if</span> <span class="n">dim1</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim1</span> <span class="o">=</span> <span class="n">dims</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span><span class="o">/</span><span class="nb">float</span><span class="p">(</span><span class="n">dim0</span> <span class="o">*</span> <span class="n">dim1</span><span class="p">)</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_ifft2</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">),</span>
<span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim0</span><span class="p">),</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim1</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="ifft3"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.ifft3">[docs]</a><span class="k">def</span> <span class="nf">ifft3</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">dim0</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span> <span class="n">dim1</span> <span class="o">=</span> <span class="kc">None</span> <span class="p">,</span> <span class="n">dim2</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Inverse Fast Fourier Transform: 3D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 3 dimensional signal or a batch of 3 dimensional signals.</span>
<span class="sd"> dim0: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim0 is calculated to be the first dimension of `signal`.</span>
<span class="sd"> dim1: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim1 is calculated to be the second dimension of `signal`.</span>
<span class="sd"> dim2: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim2 is calculated to be the third dimension of `signal`.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.0 / (dim0 * dim1 * dim2).</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> A complex af.Array containing the full output of the inverse fft.</span>
<span class="sd"> Note</span>
<span class="sd"> ----</span>
<span class="sd"> The output is always complex.</span>
<span class="sd"> """</span>
<span class="n">dims</span> <span class="o">=</span> <span class="n">signal</span><span class="o">.</span><span class="n">dims</span><span class="p">()</span>
<span class="k">if</span> <span class="n">dim0</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="n">dims</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="k">if</span> <span class="n">dim1</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim1</span> <span class="o">=</span> <span class="n">dims</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="k">if</span> <span class="n">dim2</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim2</span> <span class="o">=</span> <span class="n">dims</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span> <span class="o">/</span> <span class="nb">float</span><span class="p">(</span><span class="n">dim0</span> <span class="o">*</span> <span class="n">dim1</span> <span class="o">*</span> <span class="n">dim2</span><span class="p">)</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_ifft3</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">),</span>
<span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim0</span><span class="p">),</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim1</span><span class="p">),</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim2</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="fft_inplace"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.fft_inplace">[docs]</a><span class="k">def</span> <span class="nf">fft_inplace</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> In-place Fast Fourier Transform: 1D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 1 dimensional signal or a batch of 1 dimensional signals.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_fft_inplace</span><span class="p">(</span><span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">)))</span></div>
<div class="viewcode-block" id="fft2_inplace"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.fft2_inplace">[docs]</a><span class="k">def</span> <span class="nf">fft2_inplace</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> In-place Fast Fourier Transform: 2D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 2 dimensional signal or a batch of 2 dimensional signals.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_fft2_inplace</span><span class="p">(</span><span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">)))</span></div>
<div class="viewcode-block" id="fft3_inplace"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.fft3_inplace">[docs]</a><span class="k">def</span> <span class="nf">fft3_inplace</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> In-place Fast Fourier Transform: 3D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 3 dimensional signal or a batch of 3 dimensional signals.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_fft3_inplace</span><span class="p">(</span><span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">)))</span></div>
<div class="viewcode-block" id="ifft_inplace"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.ifft_inplace">[docs]</a><span class="k">def</span> <span class="nf">ifft_inplace</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Inverse In-place Fast Fourier Transform: 1D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 1 dimensional signal or a batch of 1 dimensional signals.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.0 / (signal.dims()[0])</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="n">signal</span><span class="o">.</span><span class="n">dims</span><span class="p">()[</span><span class="mi">0</span><span class="p">]</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span><span class="o">/</span><span class="nb">float</span><span class="p">(</span><span class="n">dim0</span><span class="p">)</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_ifft_inplace</span><span class="p">(</span><span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">)))</span></div>
<div class="viewcode-block" id="ifft2_inplace"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.ifft2_inplace">[docs]</a><span class="k">def</span> <span class="nf">ifft2_inplace</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Inverse In-place Fast Fourier Transform: 2D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 2 dimensional signal or a batch of 2 dimensional signals.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.0 / (signal.dims()[0] * signal.dims()[1])</span>
<span class="sd"> """</span>
<span class="n">dims</span> <span class="o">=</span> <span class="n">signal</span><span class="o">.</span><span class="n">dims</span><span class="p">()</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="n">dims</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="n">dim1</span> <span class="o">=</span> <span class="n">dims</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span><span class="o">/</span><span class="nb">float</span><span class="p">(</span><span class="n">dim0</span> <span class="o">*</span> <span class="n">dim1</span><span class="p">)</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_ifft2_inplace</span><span class="p">(</span><span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">)))</span></div>
<div class="viewcode-block" id="ifft3_inplace"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.ifft3_inplace">[docs]</a><span class="k">def</span> <span class="nf">ifft3_inplace</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Inverse In-place Fast Fourier Transform: 3D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 3 dimensional signal or a batch of 3 dimensional signals.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.0 / (signal.dims()[0] * signal.dims()[1] * signal.dims()[2]).</span>
<span class="sd"> """</span>
<span class="n">dims</span> <span class="o">=</span> <span class="n">signal</span><span class="o">.</span><span class="n">dims</span><span class="p">()</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="n">dims</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="n">dim1</span> <span class="o">=</span> <span class="n">dims</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="n">dim2</span> <span class="o">=</span> <span class="n">dims</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span> <span class="o">/</span> <span class="nb">float</span><span class="p">(</span><span class="n">dim0</span> <span class="o">*</span> <span class="n">dim1</span> <span class="o">*</span> <span class="n">dim2</span><span class="p">)</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_ifft3_inplace</span><span class="p">(</span><span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">)))</span></div>
<div class="viewcode-block" id="fft_r2c"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.fft_r2c">[docs]</a><span class="k">def</span> <span class="nf">fft_r2c</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">dim0</span> <span class="o">=</span> <span class="kc">None</span> <span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Real to Complex Fast Fourier Transform: 1D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 1 dimensional signal or a batch of 1 dimensional signals.</span>
<span class="sd"> dim0: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim0 is calculated to be the first dimension of `signal`.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> A complex af.Array containing the non-redundant parts of the full FFT.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">dim0</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_fft_r2c</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">),</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim0</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="fft2_r2c"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.fft2_r2c">[docs]</a><span class="k">def</span> <span class="nf">fft2_r2c</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">dim0</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span> <span class="n">dim1</span> <span class="o">=</span> <span class="kc">None</span> <span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Real to Complex Fast Fourier Transform: 2D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 2 dimensional signal or a batch of 2 dimensional signals.</span>
<span class="sd"> dim0: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim0 is calculated to be the first dimension of `signal`.</span>
<span class="sd"> dim1: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim1 is calculated to be the second dimension of `signal`.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> A complex af.Array containing the non-redundant parts of the full FFT.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">dim0</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">if</span> <span class="n">dim1</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim1</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_fft2_r2c</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">),</span>
<span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim0</span><span class="p">),</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim1</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="fft3_r2c"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.fft3_r2c">[docs]</a><span class="k">def</span> <span class="nf">fft3_r2c</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">dim0</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span> <span class="n">dim1</span> <span class="o">=</span> <span class="kc">None</span> <span class="p">,</span> <span class="n">dim2</span> <span class="o">=</span> <span class="kc">None</span><span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Real to Complex Fast Fourier Transform: 3D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 3 dimensional signal or a batch of 3 dimensional signals.</span>
<span class="sd"> dim0: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim0 is calculated to be the first dimension of `signal`.</span>
<span class="sd"> dim1: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim1 is calculated to be the second dimension of `signal`.</span>
<span class="sd"> dim2: optional: int. default: None.</span>
<span class="sd"> - Specifies the size of the output.</span>
<span class="sd"> - If None, dim2 is calculated to be the third dimension of `signal`.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1.</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> A complex af.Array containing the non-redundant parts of the full FFT.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">dim0</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">if</span> <span class="n">dim1</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim1</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">if</span> <span class="n">dim2</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim2</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_fft3_r2c</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">),</span>
<span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim0</span><span class="p">),</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim1</span><span class="p">),</span> <span class="n">c_dim_t</span><span class="p">(</span><span class="n">dim2</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">output</span></div>
<span class="k">def</span> <span class="nf">_get_c2r_dim</span><span class="p">(</span><span class="n">dim</span><span class="p">,</span> <span class="n">is_odd</span><span class="p">):</span>
<span class="k">return</span> <span class="mi">2</span> <span class="o">*</span><span class="p">(</span><span class="n">dim</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">+</span> <span class="nb">int</span><span class="p">(</span><span class="n">is_odd</span><span class="p">)</span>
<div class="viewcode-block" id="fft_c2r"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.fft_c2r">[docs]</a><span class="k">def</span> <span class="nf">fft_c2r</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">is_odd</span> <span class="o">=</span> <span class="kc">False</span><span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Real to Complex Fast Fourier Transform: 1D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 1 dimensional signal or a batch of 1 dimensional signals.</span>
<span class="sd"> is_odd: optional: Boolean. default: False.</span>
<span class="sd"> - Specifies if the first dimension of output should be even or odd.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1 / (signal.dims()[0]).</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> A real af.Array containing the full output of the fft.</span>
<span class="sd"> """</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="n">_get_c2r_dim</span><span class="p">(</span><span class="n">signal</span><span class="o">.</span><span class="n">dims</span><span class="p">()[</span><span class="mi">0</span><span class="p">],</span> <span class="n">is_odd</span><span class="p">)</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span><span class="o">/</span><span class="nb">float</span><span class="p">(</span><span class="n">dim0</span><span class="p">)</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_fft_c2r</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">),</span> <span class="n">is_odd</span><span class="p">))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="fft2_c2r"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.fft2_c2r">[docs]</a><span class="k">def</span> <span class="nf">fft2_c2r</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">is_odd</span> <span class="o">=</span> <span class="kc">False</span><span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Real to Complex Fast Fourier Transform: 2D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 2 dimensional signal or a batch of 2 dimensional signals.</span>
<span class="sd"> is_odd: optional: Boolean. default: False.</span>
<span class="sd"> - Specifies if the first dimension of output should be even or odd.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1 / (signal.dims()[0] * signal.dims()[1]).</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> A real af.Array containing the full output of the fft.</span>
<span class="sd"> """</span>
<span class="n">dims</span> <span class="o">=</span> <span class="n">signal</span><span class="o">.</span><span class="n">dims</span><span class="p">()</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="n">_get_c2r_dim</span><span class="p">(</span><span class="n">dims</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">is_odd</span><span class="p">)</span>
<span class="n">dim1</span> <span class="o">=</span> <span class="n">dims</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span><span class="o">/</span><span class="nb">float</span><span class="p">(</span><span class="n">dim0</span> <span class="o">*</span> <span class="n">dim1</span><span class="p">)</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_fft2_c2r</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">),</span> <span class="n">is_odd</span><span class="p">))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="fft3_c2r"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.fft3_c2r">[docs]</a><span class="k">def</span> <span class="nf">fft3_c2r</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">is_odd</span> <span class="o">=</span> <span class="kc">False</span><span class="p">,</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Real to Complex Fast Fourier Transform: 3D</span>
<span class="sd"> Parameters</span>
<span class="sd"> ----------</span>
<span class="sd"> signal: af.Array</span>
<span class="sd"> A 3 dimensional signal or a batch of 3 dimensional signals.</span>
<span class="sd"> is_odd: optional: Boolean. default: False.</span>
<span class="sd"> - Specifies if the first dimension of output should be even or odd.</span>
<span class="sd"> scale: optional: scalar. default: None.</span>
<span class="sd"> - Specifies the scaling factor.</span>
<span class="sd"> - If None, scale is set to 1 / (signal.dims()[0] * signal.dims()[1] * signal.dims()[2]).</span>
<span class="sd"> Returns</span>
<span class="sd"> -------</span>
<span class="sd"> output: af.Array</span>
<span class="sd"> A real af.Array containing the full output of the fft.</span>
<span class="sd"> """</span>
<span class="n">dims</span> <span class="o">=</span> <span class="n">signal</span><span class="o">.</span><span class="n">dims</span><span class="p">()</span>
<span class="k">if</span> <span class="n">scale</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
<span class="n">dim0</span> <span class="o">=</span> <span class="n">_get_c2r_dim</span><span class="p">(</span><span class="n">dims</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">is_odd</span><span class="p">)</span>
<span class="n">dim1</span> <span class="o">=</span> <span class="n">dims</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="n">dim2</span> <span class="o">=</span> <span class="n">dims</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span>
<span class="n">scale</span> <span class="o">=</span> <span class="mf">1.0</span><span class="o">/</span><span class="nb">float</span><span class="p">(</span><span class="n">dim0</span> <span class="o">*</span> <span class="n">dim1</span> <span class="o">*</span> <span class="n">dim2</span><span class="p">)</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">Array</span><span class="p">()</span>
<span class="n">safe_call</span><span class="p">(</span><span class="n">backend</span><span class="o">.</span><span class="n">get</span><span class="p">()</span><span class="o">.</span><span class="n">af_fft3_c2r</span><span class="p">(</span><span class="n">c_pointer</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">arr</span><span class="p">),</span> <span class="n">signal</span><span class="o">.</span><span class="n">arr</span><span class="p">,</span> <span class="n">c_double_t</span><span class="p">(</span><span class="n">scale</span><span class="p">),</span> <span class="n">is_odd</span><span class="p">))</span>
<span class="k">return</span> <span class="n">output</span></div>
<div class="viewcode-block" id="dft"><a class="viewcode-back" href="../../arrayfire.signal.html#arrayfire.signal.dft">[docs]</a><span class="k">def</span> <span class="nf">dft</span><span class="p">(</span><span class="n">signal</span><span class="p">,</span> <span class="n">odims</span><span class="o">=</span><span class="p">(</span><span class="kc">None</span><span class="p">,</span> <span class="kc">None</span><span class="p">,</span> <span class="kc">None</span><span class="p">,</span> <span class="kc">None</span><span class="p">),</span> <span class="n">scale</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span>
<span class="sd">"""</span>
<span class="sd"> Non batched Fourier transform.</span>