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<!DOCTYPE html>
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<title>mumax3</title>
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<div style="float:left">
<span style="font-size:48px"><b>mumax</b><sup>3</sup><br/></span>
GPU-accelerated micromagnetism <br/><br/>
<a class="pure-button pure-button-primary" href="index.html">Home</a>
<a class="pure-button pure-button-primary" href="download.html">Download</a>
<a class="pure-button pure-button-primary" href="examples.html">Examples</a>
<a class="pure-button pure-button-primary" href="api.html">API</a>
<a class="pure-button pure-button-primary" href="https://groups.google.com/forum/#!forum/mumax2">Forum</a>
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<div class="api-container">
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<div style="margin: 0px; margin-bottom: 5ex;">
<h2 style="text-align: center; margin: 5px;">mumax3.10 API</h2>
<input style="text-align: center; margin: auto; width 50px; display: block" type="text" id="searchInput" onclick="onSearch()" onkeyup="onSearch()" placeholder="Enter a search term" title="Type in a name" size=15>
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<h3>Basics</h3>
<ul class="pure-menu-list">
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'syntax')" id="default-open">Syntax</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'mesh')">Mesh size and geometry</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'shapes')">Shapes</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'regions')">Material regions</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'initial')">Initial Magnetization</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'parameters')">Material parameters</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'excitation')">Excitation</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'outputquantities')">Output quantities</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'output')">Scheduling output</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'running')">Running</a></li>
</ul>
<h3>Advanced Features</h3>
<ul class="pure-menu-list">
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'currents')">Spin currents</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'mfm')">Magnetic Force Microscopy</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'slicing')">Slicing and dicing output</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'movingwindow')">Moving window</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'extensions')">Extensions</a></li>
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<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'customfields')">Custom effective field terms</a></li>
<li class="pure-menu-item"><a href="#" class="pure-menu-link api-section-link" onclick="openSection(event, 'misc')">Misc</a></li>
</ul>
<p style="font-size:8px; margin-top: 4em"><a href="api39c.html"> Go to mumax3.9c API</a></p>
</div>
<div class="api-content">
<div id="syntax" class="api-section" >
<h1> Syntax </h1>
<p>
The mumax<sup>3</sup> input syntax is a subset of <a href=http://golang.org>Go</a>'s syntax, somewhat similar to C. It is case-independent however, so msat is the same as Msat or MSAT.</p>
<h3>Defining variables</h3>
New variables are declared using <code>:=</code>. Variables have a fixed type, inferred from the declaration's right-hand-side. Assigning to existing variables is done using <code>=</code>. E.g.:
<pre><code>i := 7 // defines a new variable i, type automatically detected to be int
print(i) // now we can use i
i = 5 // assign new value, don't use ':=' (attempt to re-declare)
str := "hello" // defines str, type automatically is string
//str = 1 // would fail, cannot assign int to string
</code></pre>
<h3>Arithmetic</h3>
Most common arithmetic operations are possible. Also Go's <a href=http://golang.org/pkg/math>math</a> library and some common constants are available. For raise-to-the-power, pow(x,y) should be used.
<pre><code>x := pi*(3+4)/5
x = pow(x, 3)
x++
y := abs(cbrt(cosh(erf(erfc(gamma(J0(Y0(2))))))))
</pre></code>
<h3>Control structures</h3>
Loops are possible as well:
<pre><code>for i:=0; i<10; i++{
print(i)
}
</code></pre>
<h3>Implicit functions</h3>
Some of the API features accept a function as argument (e.g.: <code>RunWhile(func()bool)</code>, or all input parameters). In that case, and <i>only</i> in this case, the argument is implicitly converted to a function, which is re-evaluated each time it's needed. E.g.:
<pre><code>value := sin(pi*t) // value is a float64, RHS evaluated only once
Msat = value // time-independent Msat
</code></pre>
versus:
<pre><code>Msat = sin(pi*t) // RHS converted to function, re-evaluted every time
</code></pre>
<h3>Methods</h3>
Some of the API instances have methods defined on them. You can call methods on an instance by using '.' as in most object oriented programming languages.
E.g.: a material parameter such as <code>Msat</code> has the method <code>SetRegion(int, float)</code> to set the value of the material parameter in a certain region:
<pre><code>Msat.SetRegion(1, 800e3) // Set Msat=520e3 in region 1 </code></pre>
</div>
<div id="mesh" class="api-section" >
<h1> Mesh size and geometry </h1>
The simulation mesh defines the size of the box around your magnet. It should be set at the beginning of the script. The number of cells should preferably be powers of two, or at least have small prime factors (2,3,5,7). E.g.:
<pre><code>Nx := 128
Ny := 64
Nz := 2
sizeX := 500e-9
sizeY := 250e-9
sizeZ := 10e-9
SetGridSize(Nx, Ny, Nz)
SetCellSize(sizeX/Nx, sizeY/Ny, sizeZ/Nz)
</code></pre>
<h2> Periodic boundary conditions </h2>
Optionally, periodic boundary conditions can be enabled:
<pre><code>SetPBC(5, 0, 0) // 5 extra images on left and right sides.
SetGridSize(128, 64, 1)
SetCellSize(5e-9, 5e-9, 5e-9)
</code></pre>
Setting a nonzero PBC value in a direction enables wrap-around in that direction. The precise value passed determines how many repetitions are seen by the demag field. E.g., in the above example the demag field behaves as if 5 repetitions are present to the left and to the right side. Choosing a large number may cause long initialization time.
<h2> Resizing the mesh </h2>
The mesh can be changed at any later time in the simulation. This will cause the magnetization to be stretched onto the new mesh if needed, and the geometry and regions to be re-calculated. After resize some cells which had zero magnetization may now fall inside the magnet geometry, they will be initialized to random magnetization.
<h2> Setting the geometry </h2>
Optionally a magnet Shape other than the full simulation box can be specified. In order to set the geometry, you first need to <a href="#" onclick="openSection(event, 'geometry')">define a shape</a>.
<pre><code> geometryShape := cylinder(400e-9, 20e-9).RotX(45*pi/180).Transl(1e-6,0,0)
SetGeom(geometryShape)
</code></pre>
<hr>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">SetCellSize</b>(float64, float64, float64) </span>
<p style="margin-left:40px" class="api-docstring"> Sets the X,Y,Z cell size in meters </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example1">[1]</a>
<a href="examples.html#example2">[2]</a>
<a href="examples.html#example3">[3]</a>
<a href="examples.html#example4">[4]</a>
<a href="examples.html#example5">[5]</a>
<a href="examples.html#example6">[6]</a>
<a href="examples.html#example7">[7]</a>
<a href="examples.html#example8">[8]</a>
<a href="examples.html#example9">[9]</a>
<a href="examples.html#example10">[10]</a>
<a href="examples.html#example11">[11]</a>
<a href="examples.html#example12">[12]</a>
<a href="examples.html#example13">[13]</a>
<a href="examples.html#example14">[14]</a>
<a href="examples.html#example15">[15]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">SetGeom</b>(Shape) </span>
<p style="margin-left:40px" class="api-docstring"> Sets the geometry to a given shape </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example4">[4]</a>
<a href="examples.html#example6">[6]</a>
<a href="examples.html#example7">[7]</a>
<a href="examples.html#example8">[8]</a>
<a href="examples.html#example9">[9]</a>
<a href="examples.html#example11">[11]</a>
<a href="examples.html#example12">[12]</a>
<a href="examples.html#example14">[14]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">SetGridSize</b>(int, int, int) </span>
<p style="margin-left:40px" class="api-docstring"> Sets the number of cells for X,Y,Z </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example1">[1]</a>
<a href="examples.html#example2">[2]</a>
<a href="examples.html#example3">[3]</a>
<a href="examples.html#example4">[4]</a>
<a href="examples.html#example5">[5]</a>
<a href="examples.html#example6">[6]</a>
<a href="examples.html#example7">[7]</a>
<a href="examples.html#example8">[8]</a>
<a href="examples.html#example9">[9]</a>
<a href="examples.html#example10">[10]</a>
<a href="examples.html#example11">[11]</a>
<a href="examples.html#example12">[12]</a>
<a href="examples.html#example13">[13]</a>
<a href="examples.html#example14">[14]</a>
<a href="examples.html#example15">[15]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">SetMesh</b>(int, int, int, float64, float64, float64, int, int, int) </span>
<p style="margin-left:40px" class="api-docstring"> Sets GridSize, CellSize and PBC at the same time </p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">SetPBC</b>(int, int, int) </span>
<p style="margin-left:40px" class="api-docstring"> Sets the number of repetitions in X,Y,Z to create periodic boundary conditions. The number of repetitions determines the cutoff range for the demagnetization. </p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">EdgeSmooth</b> </span>
<p style="margin-left:40px" class="api-docstring"> Geometry edge smoothing with edgeSmooth^3 samples per cell, 0=staircase, ~8=very smooth </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example4">[4]</a>
</p>
</p>
</div>
</div>
<div id="shapes" class="api-section" >
<h1> Shapes </h1>
A shape is an abstract object which outlines an area in a 3D universe. Shapes are useful for different tasks, e.g.: to define the geometry of a magnet, to define material regions, or to set locally a specific initial magnetization configuration.
One can specify primitive shapes, constructed at the origin (box center), and translate/rotate them if needed. All positions are specified in meters and the origin lies in the center of the simulation box. E.g.:
<pre><code>myShape := cylinder(400e-9, 20e-9).RotX(45*pi/180).Transl(1e-6,0,0))
anotherShape := Circle(400e-9).sub(Circle(200e-9))
</code></pre>
<hr/>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Cell</b>(int, int, int) Shape </span>
<p style="margin-left:40px" class="api-docstring"> Single cell with given integer index (i, j, k) </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example1">[1]</a>
<a href="examples.html#example2">[2]</a>
<a href="examples.html#example3">[3]</a>
<a href="examples.html#example4">[4]</a>
<a href="examples.html#example5">[5]</a>
<a href="examples.html#example6">[6]</a>
<a href="examples.html#example7">[7]</a>
<a href="examples.html#example8">[8]</a>
<a href="examples.html#example9">[9]</a>
<a href="examples.html#example10">[10]</a>
<a href="examples.html#example11">[11]</a>
<a href="examples.html#example12">[12]</a>
<a href="examples.html#example13">[13]</a>
<a href="examples.html#example14">[14]</a>
<a href="examples.html#example15">[15]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Circle</b>(float64) Shape </span>
<p style="margin-left:40px" class="api-docstring"> 2D Circle with diameter in meter </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example4">[4]</a>
<a href="examples.html#example6">[6]</a>
<a href="examples.html#example7">[7]</a>
<a href="examples.html#example8">[8]</a>
<a href="examples.html#example12">[12]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Cone</b>(float64, float64) Shape </span>
<p style="margin-left:40px" class="api-docstring"> 3D Cone with diameter and height in meter. The top of the cone points in the +z direction. </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Cuboid</b>(float64, float64, float64) Shape </span>
<p style="margin-left:40px" class="api-docstring"> Cuboid with sides in meter </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example4">[4]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Cylinder</b>(float64, float64) Shape </span>
<p style="margin-left:40px" class="api-docstring"> 3D Cylinder with diameter and height in meter </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example4">[4]</a>
<a href="examples.html#example5">[5]</a>
<a href="examples.html#example6">[6]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Ellipse</b>(float64, float64) Shape </span>
<p style="margin-left:40px" class="api-docstring"> 2D Ellipse with axes in meter </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example14">[14]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Ellipsoid</b>(float64, float64, float64) Shape </span>
<p style="margin-left:40px" class="api-docstring"> 3D Ellipsoid with axes in meter </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example4">[4]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">GrainRoughness</b>(float64, float64, float64, int) Shape </span>
<p style="margin-left:40px" class="api-docstring"> Grainy surface with different heights per grain with a typical grain size (first argument), minimal height (second argument), and maximal height (third argument). The last argument is a seed for the random number generator. </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">ImageShape</b>(string) Shape </span>
<p style="margin-left:40px" class="api-docstring"> Use black/white image as shape </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example4">[4]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Layer</b>(int) Shape </span>
<p style="margin-left:40px" class="api-docstring"> Single layer (along z), by integer index starting from 0 </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example4">[4]</a>
<a href="examples.html#example13">[13]</a>
<a href="examples.html#example14">[14]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Layers</b>(int, int) Shape </span>
<p style="margin-left:40px" class="api-docstring"> Part of space between cell layer1 (inclusive) and layer2 (exclusive), in integer indices </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example4">[4]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Rect</b>(float64, float64) Shape </span>
<p style="margin-left:40px" class="api-docstring"> 2D rectangle with size in meter </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example4">[4]</a>
<a href="examples.html#example6">[6]</a>
<a href="examples.html#example9">[9]</a>
<a href="examples.html#example11">[11]</a>
<a href="examples.html#example12">[12]</a>
<a href="examples.html#example15">[15]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Square</b>(float64) Shape </span>
<p style="margin-left:40px" class="api-docstring"> 2D square with size in meter </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example6">[6]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Universe</b>() Shape </span>
<p style="margin-left:40px" class="api-docstring"> Entire space </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">XRange</b>(float64, float64) Shape </span>
<p style="margin-left:40px" class="api-docstring"> Part of space between x1 (inclusive) and x2 (exclusive), in meter </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example4">[4]</a>
<a href="examples.html#example7">[7]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">YRange</b>(float64, float64) Shape </span>
<p style="margin-left:40px" class="api-docstring"> Part of space between y1 (inclusive) and y2 (exclusive), in meter </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">ZRange</b>(float64, float64) Shape </span>
<p style="margin-left:40px" class="api-docstring"> Part of space between z1 (inclusive) and z2 (exclusive), in meter </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( Shape ) Intersect( Shape ) Inverse( ) Repeat( float64 float64 float64 ) RotX( float64 ) RotY( float64 ) RotZ( float64 ) Scale( float64 float64 float64 ) Sub( Shape ) Transl( float64 float64 float64 ) Xor( Shape )
</span> </p>
</p>
</div>
</div>
<div id="regions" class="api-section" >
<h1> Material regions </h1>
Optionally, up to 256 material regions can be defined. Since each cell is made from one material, it is associated with exactly one region. So <em>regions can not overlap</em>. Each cell is assigned material region 0 by default. It's a good idea to output <code>regions</code> to verify whether each cell is assigned to the intended region. Each region can have its own material parameters, and we can output averages over each region. E.g.:
<pre><code>DefRegion(1, circle(1e-6))
DefRegion(0, circle(1e-6).Inverse()) // redundant
save(regions)
Msat.SetRegion(1, 800e6)
tableAdd(m.Region(1)) // add average m over region 1 to table
</code></pre>
<hr/>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">DefRegion</b>(int, Shape) </span>
<p style="margin-left:40px" class="api-docstring"> Define a material region with given index (0-255) and shape </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example7">[7]</a>
<a href="examples.html#example12">[12]</a>
<a href="examples.html#example13">[13]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">DefRegionCell</b>(int, int, int, int) </span>
<p style="margin-left:40px" class="api-docstring"> Set a material region (first argument) in one cell by the index of the cell (last three arguments) </p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">regions</b> </span>
<p style="margin-left:40px" class="api-docstring"> Outputs the region index for each cell </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Average( ) EvalTo( Slice ) GetCell( int int int ) Gpu( ) HostArray( ) HostList( ) LoadFile( string ) SetCell( int int int int )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example7">[7]</a>
<a href="examples.html#example12">[12]</a>
</p>
</p>
</div>
</div>
<div id="initial" class="api-section" >
<h1> Initial magnetization </h1>
The initial magnetization is set by assigning a <code>Config</code> to m, setting it in separate regions, or by loading a file directly.
<pre><code>m = uniform(1, 0, 0)
m.SetRegion(1, vortex(1, 1))
m.LoadFile("config.ovf")
m.SetInShape(circle(50e-9), uniform(0,0,1))
</code></pre>
<hr/>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">m</b> </span>
<p style="margin-left:40px" class="api-docstring"> Reduced magnetization (unit length) </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Average( ) Buffer( ) Comp( int ) EvalTo( Slice ) GetCell( int int int ) LoadFile( string ) Quantity( ) Region( int ) Set( Config ) SetArray( Slice ) SetCell( int int int data.Vector ) SetInShape( Shape Config ) SetRegion( int Config )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example1">[1]</a>
<a href="examples.html#example2">[2]</a>
<a href="examples.html#example3">[3]</a>
<a href="examples.html#example4">[4]</a>
<a href="examples.html#example5">[5]</a>
<a href="examples.html#example6">[6]</a>
<a href="examples.html#example7">[7]</a>
<a href="examples.html#example8">[8]</a>
<a href="examples.html#example9">[9]</a>
<a href="examples.html#example10">[10]</a>
<a href="examples.html#example11">[11]</a>
<a href="examples.html#example12">[12]</a>
<a href="examples.html#example13">[13]</a>
<a href="examples.html#example14">[14]</a>
<a href="examples.html#example15">[15]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Antivortex</b>(int, int) Config </span>
<p style="margin-left:40px" class="api-docstring"> Antivortex magnetization with given circulation and core polarization </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( float64 Config ) RotZ( float64 ) Scale( float64 float64 float64 ) Transl( float64 float64 float64 )
</span> </p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">BlochSkyrmion</b>(int, int) Config </span>
<p style="margin-left:40px" class="api-docstring"> Bloch skyrmion magnetization with given chirality and core polarization </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( float64 Config ) RotZ( float64 ) Scale( float64 float64 float64 ) Transl( float64 float64 float64 )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example5">[5]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Conical</b>(data.Vector, data.Vector, float64) Config </span>
<p style="margin-left:40px" class="api-docstring"> Conical state for given wave vector, cone direction, and cone angle </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( float64 Config ) RotZ( float64 ) Scale( float64 float64 float64 ) Transl( float64 float64 float64 )
</span> </p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">Helical</b>(data.Vector) Config </span>
<p style="margin-left:40px" class="api-docstring"> Helical state for given wave vector </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( float64 Config ) RotZ( float64 ) Scale( float64 float64 float64 ) Transl( float64 float64 float64 )
</span> </p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">NeelSkyrmion</b>(int, int) Config </span>
<p style="margin-left:40px" class="api-docstring"> Néél skyrmion magnetization with given charge and core polarization </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( float64 Config ) RotZ( float64 ) Scale( float64 float64 float64 ) Transl( float64 float64 float64 )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example5">[5]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">RandomMag</b>() Config </span>
<p style="margin-left:40px" class="api-docstring"> Random magnetization </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( float64 Config ) RotZ( float64 ) Scale( float64 float64 float64 ) Transl( float64 float64 float64 )
</span> </p>
<p style="margin-left:40px; color:grey"> examples:
<a href="examples.html#example3">[3]</a>
<a href="examples.html#example5">[5]</a>
</p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">RandomMagSeed</b>(int) Config </span>
<p style="margin-left:40px" class="api-docstring"> Random magnetization with given seed </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( float64 Config ) RotZ( float64 ) Scale( float64 float64 float64 ) Transl( float64 float64 float64 )
</span> </p>
</p>
</div>
<div class="api-entry">
<p><span style="color:#000088; font-size:1.5em; font-family: monospace"> <b class="api-identifier">TwoDomain</b>(float64, float64, float64, float64, float64, float64, float64, float64, float64) Config </span>
<p style="margin-left:40px" class="api-docstring"> Twodomain magnetization with with given magnetization in left domain, wall, and right domain </p>
<p style="margin-left:40px"> <span style="color:grey"> <b>methods:</b>
Add( float64 Config ) RotZ( float64 ) Scale( float64 float64 float64 ) Transl( float64 float64 float64 )
</span> </p>
<p style="margin-left:40px; color:grey"> examples: