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tensors.html
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<title>tensors</title>
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<meta name="author" content="Atılım Güneş Baydin, Don Syme, Barak A. Pearlmutter, Jeffrey Siskind, and DiffSharp contributors">
<meta name="description" content="DiffSharp is a tensor library with support for differentiable programming. It is designed for use in machine learning, probabilistic programming, optimization and other domains.">
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<p><a href="https://colab.research.google.com/github/DiffSharp/diffsharp.github.io/blob/master/tensors.ipynb"><img src="https://colab.research.google.com/assets/colab-badge.svg" alt="Binder" /></a> 
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<ul>
<li><p>The <a href="https://diffsharp.github.io/reference/diffsharp-dsharp.html">dsharp</a> API</p></li>
<li><p>The <a href="https://diffsharp.github.io/reference/diffsharp-tensor.html">Tensor</a> type</p></li>
</ul>
<p>Saving tensors as image and loading images as tensors</p>
<h2><a name="Converting-between-Tensors-and-arrays" class="anchor" href="#Converting-between-Tensors-and-arrays">Converting between Tensors and arrays</a></h2>
<p>System.Array and F# arrays</p>
<pre class="fssnip highlighted"><code lang="fsharp"><span class="k">open</span> <span onmouseout="hideTip(event, 'fs1', 10)" onmouseover="showTip(event, 'fs1', 10)" class="id">DiffSharp</span>
<span class="c">// Tensor</span>
<span class="k">let</span> <span onmouseout="hideTip(event, 'fs7', 11)" onmouseover="showTip(event, 'fs7', 11)" class="id">t1</span> <span class="o">=</span> <span onmouseout="hideTip(event, 'fs2', 12)" onmouseover="showTip(event, 'fs2', 12)" class="rt">dsharp</span><span class="pn">.</span><span onmouseout="hideTip(event, 'fs8', 13)" onmouseover="showTip(event, 'fs8', 13)" class="id">tensor</span> <span class="pn">[</span> <span class="o">0.0</span> <span class="o">..</span> <span class="n">0.2</span> <span class="o">..</span> <span class="n">1.0</span> <span class="pn">]</span>
<span class="c">// System.Array</span>
<span class="k">let</span> <span onmouseout="hideTip(event, 'fs9', 14)" onmouseover="showTip(event, 'fs9', 14)" class="id">a1</span> <span class="o">=</span> <span onmouseout="hideTip(event, 'fs7', 15)" onmouseover="showTip(event, 'fs7', 15)" class="id">t1</span><span class="pn">.</span><span class="id">toArray</span><span class="pn">(</span><span class="pn">)</span>
<span class="c">// []<float32></span>
<span class="k">let</span> <span onmouseout="hideTip(event, 'fs10', 16)" onmouseover="showTip(event, 'fs10', 16)" class="id">a1b</span> <span class="o">=</span> <span onmouseout="hideTip(event, 'fs7', 17)" onmouseover="showTip(event, 'fs7', 17)" class="id">t1</span><span class="pn">.</span><span class="id">toArray</span><span class="pn">(</span><span class="pn">)</span> <span class="o">:?></span> <span onmouseout="hideTip(event, 'fs11', 18)" onmouseover="showTip(event, 'fs11', 18)" class="vt">float32</span><span class="pn">[</span><span class="pn">]</span>
<span class="c">// Tensor</span>
<span class="k">let</span> <span onmouseout="hideTip(event, 'fs12', 19)" onmouseover="showTip(event, 'fs12', 19)" class="id">t2</span> <span class="o">=</span> <span onmouseout="hideTip(event, 'fs2', 20)" onmouseover="showTip(event, 'fs2', 20)" class="rt">dsharp</span><span class="pn">.</span><span onmouseout="hideTip(event, 'fs13', 21)" onmouseover="showTip(event, 'fs13', 21)" class="id">randn</span><span class="pn">(</span><span class="pn">[</span><span class="n">3</span><span class="pn">;</span><span class="n">3</span><span class="pn">;</span><span class="n">3</span><span class="pn">]</span><span class="pn">)</span>
<span class="c">// [,,]<float32></span>
<span class="k">let</span> <span onmouseout="hideTip(event, 'fs14', 22)" onmouseover="showTip(event, 'fs14', 22)" class="id">a2</span> <span class="o">=</span> <span onmouseout="hideTip(event, 'fs12', 23)" onmouseover="showTip(event, 'fs12', 23)" class="id">t2</span><span class="pn">.</span><span class="id">toArray</span><span class="pn">(</span><span class="pn">)</span> <span class="o">:?></span> <span onmouseout="hideTip(event, 'fs11', 24)" onmouseover="showTip(event, 'fs11', 24)" class="vt">float32</span><span class="pn">[</span><span class="pn">,</span><span class="pn">,</span><span class="pn">]</span>
</code></pre>
<div class="fsdocs-tip" id="fs1">namespace DiffSharp</div>
<div class="fsdocs-tip" id="fs2">type dsharp =
static member abs: input: Tensor -> Tensor
static member acos: input: Tensor -> Tensor
static member add: a: Tensor * b: Tensor -> Tensor
static member arange: endVal: float * ?startVal: float * ?step: float * ?device: Device * ?dtype: Dtype * ?backend: Backend -> Tensor + 1 overload
static member arangeLike: input: Tensor * endVal: float * ?startVal: float * ?step: float * ?device: Device * ?dtype: Dtype * ?backend: Backend -> Tensor + 1 overload
static member argmax: input: Tensor -> int[] + 1 overload
static member argmin: input: Tensor -> int[] + 1 overload
static member asin: input: Tensor -> Tensor
static member atan: input: Tensor -> Tensor
static member backends: unit -> Backend list
...<br /><em><summary>
Tensor operations
</summary></em></div>
<div class="fsdocs-tip" id="fs3">static member DiffSharp.dsharp.config: unit -> DiffSharp.Device * DiffSharp.Dtype * DiffSharp.Backend * DiffSharp.Printer<br />static member DiffSharp.dsharp.config: configuration: (DiffSharp.Device * DiffSharp.Dtype * DiffSharp.Backend * DiffSharp.Printer) -> unit<br />static member DiffSharp.dsharp.config: ?device: DiffSharp.Device * ?dtype: DiffSharp.Dtype * ?backend: DiffSharp.Backend * ?printer: DiffSharp.Printer -> unit</div>
<div class="fsdocs-tip" id="fs4">Multiple items<br />module Backend
from DiffSharp<br /><em><summary>
Contains functions and settings related to backend specifications.
</summary></em><br /><br />--------------------<br />type Backend =
| Reference
| Torch
| Other of name: string * code: int
override ToString: unit -> string
member Name: string<br /><em><summary>
Represents a backend for DiffSharp tensors
</summary></em></div>
<div class="fsdocs-tip" id="fs5">union case DiffSharp.Backend.Reference: DiffSharp.Backend<br /><em><summary>
The reference backend
</summary></em></div>
<div class="fsdocs-tip" id="fs6">static member DiffSharp.dsharp.seed: ?seed: int -> unit</div>
<div class="fsdocs-tip" id="fs7">val t1: Tensor</div>
<div class="fsdocs-tip" id="fs8">static member dsharp.tensor: value: obj * ?device: Device * ?dtype: Dtype * ?backend: Backend -> Tensor</div>
<div class="fsdocs-tip" id="fs9">val a1: System.Array</div>
<div class="fsdocs-tip" id="fs10">val a1b: float32[]</div>
<div class="fsdocs-tip" id="fs11">Multiple items<br />val float32: value: 'T -> float32 (requires member op_Explicit)<br /><em><summary>Converts the argument to 32-bit float. This is a direct conversion for all
primitive numeric types. For strings, the input is converted using <c>Single.Parse()</c>
with InvariantCulture settings. Otherwise the operation requires an appropriate
static conversion method on the input type.</summary><br /><param name="value">The input value.</param><br /><returns>The converted float32</returns><br /><example id="float32-example"><code lang="fsharp"></code></example></em><br /><br />--------------------<br />[<Struct>]
type float32 = System.Single<br /><em><summary>An abbreviation for the CLI type <see cref="T:System.Single" />.</summary><br /><category>Basic Types</category></em><br /><br />--------------------<br />type float32<'Measure> =
float32<br /><em><summary>The type of single-precision floating point numbers, annotated with a unit of measure.
The unit of measure is erased in compiled code and when values of this type
are analyzed using reflection. The type is representationally equivalent to
<see cref="T:System.Single" />.
</summary><br /><category>Basic Types with Units of Measure</category></em></div>
<div class="fsdocs-tip" id="fs12">val t2: Tensor</div>
<div class="fsdocs-tip" id="fs13">static member dsharp.randn: length: int * ?device: Device * ?dtype: Dtype * ?backend: Backend -> Tensor<br />static member dsharp.randn: shape: seq<int> * ?device: Device * ?dtype: Dtype * ?backend: Backend -> Tensor</div>
<div class="fsdocs-tip" id="fs14">val a2: float32[,,]</div>
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