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<a name = "hj-top"> </a><table class = "table1" id = "table11"><tr><td><table class = "DocHeader"><tr><td class = "DocHeader1" colspan = "2"><h1>Items for DEF_TYPE OPER</h1></td></tr><tr><td class = "DocHeader4" colspan = "2"/></tr><tr><td class = "DocHeader3" colspan = "2"><table class = "DocThemeIntro" id = "table12"><tr><td class = "Intro1Only"><p class = "header"><p class = "abstract">
<span class = "shortdesc">With <code class = "ph codeph">DEF_TYPE = OPER</code> two or more variables can be linked by mathematical operators.</span>

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<div class = "body refbody">
<table class = "table" id = "tso-r-cmd-variable-operDefType__aa2108543"><caption/><colgroup><col/><col/><col/><col/></colgroup><tbody class = "tbody">
<tr class = "row">
<td class = "entry"><p><span class = "ph uicontrol">VAR_OPER</span></p></td>
<td class = "entry" colspan = "3"><p>Operator linking the variables <code class = "ph codeph">VAR_A</code> to <code class = "ph codeph">VAR_D</code></p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry" colspan = "2"><p>Operators with 2 to 4 operands:</p></td>
<td class = "entry"/>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= ADD</p></td>
<td class = "entry"><p>Addition</p></td>
<td class = "entry"><p>A+B+C+D</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= MULT</p></td>
<td class = "entry"><p>Multiplication</p></td>
<td class = "entry"><p>A*B*C*D</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= MIN</p></td>
<td class = "entry"><p>Minimum</p></td>
<td class = "entry"><p>min(A,B,C,D)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= MAX</p></td>
<td class = "entry"><p>Maximum</p></td>
<td class = "entry"><p>max(A,B,C,D)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry" colspan = "3"><p>Operators with 2 operands:</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= <span class = "ph uicontrol">SUB</span></p></td>
<td class = "entry"><p>Subtraction</p></td>
<td class = "entry"><p>A - B</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= SUB_ABS</p></td>
<td class = "entry"><p>Absolute value of the subtraction.</p></td>
<td class = "entry"><p>| A - B |</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= DIV</p></td>
<td class = "entry"><p>Division</p></td>
<td class = "entry"><p>A / B</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry" colspan = "3"><p>Operators with 1 operand:</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= ABS</p></td>
<td class = "entry"><p>absolute value</p></td>
<td class = "entry"><p>abs(A)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= SIN</p></td>
<td class = "entry"><p>Sinus</p></td>
<td class = "entry"><p>sin(A)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= COS</p></td>
<td class = "entry"><p>Cosine</p></td>
<td class = "entry"><p>cos(A)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= CUT_OFF</p></td>
<td class = "entry"><p>Cutoff Operator to remove peaks (parameters are specified with additional settings).</p></td>
<td class = "entry"><p>max(<code class = "ph codeph">CUT_OFF_LOW</code>, min(A, <code class = "ph codeph">CUT_OFF_HIGH</code>))</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= TAN</p></td>
<td class = "entry"><p>Tangent</p></td>
<td class = "entry"><p>tan(A)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= LOG</p></td>
<td class = "entry"><p>Common logarithm </p></td>
<td class = "entry"><p>log(A)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= EXP</p></td>
<td class = "entry"><p>Exponential function </p></td>
<td class = "entry"><p>exp(A)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= FILTER</p></td>
<td class = "entry"><p>Filter function for vectors used as terms for the controller-based algorithms (parameters are specified with additional settings).</p></td>
<td class = "entry"><p>filter(A)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= LN</p></td>
<td class = "entry"><p>Nat. Logarithm</p></td>
<td class = "entry"><p>ln(A)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= NORM</p></td>
<td class = "entry"><p>Norm for vectors used as terms for the controller-based algorithms (parameters are specified with additional settings).</p></td>
<td class = "entry"><p><span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><mrow class = "- topic/foreign "><mo class = "- topic/foreign ">‖</mo><mi class = "- topic/foreign ">A</mi><mo class = "- topic/foreign ">‖</mo></mrow></mrow></math></span></p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= NORM_FIRST</p></td>
<td class = "entry"><p>Norm for vectors (maximum norm) used as terms for the controller-based algorithms, based on the value in first iteration .</p></td>
<td class = "entry"><p><span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><mrow class = "- topic/foreign "><mo class = "- topic/foreign ">‖</mo><mi class = "- topic/foreign ">A</mi><mo class = "- topic/foreign ">‖</mo></mrow></mrow></math></span></p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= NPOWER</p></td>
<td class = "entry"><p>N-th power to A (parameter is specified with <code class = "ph codeph">EXPONENT</code> item).</p></td>
<td class = "entry"><p><span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><msup class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">A</mi></mrow><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">n</mi></mrow></msup></mrow></math></span></p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= NROOT</p></td>
<td class = "entry"><p>N-th root (parameter is specified with <code class = "ph codeph">EXPONENT</code> item).</p></td>
<td class = "entry"><p><span class = "ph inlineequation"><math class = "- topic/foreign "><mrow class = "- topic/foreign "><mroot class = "- topic/foreign "><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">A</mi></mrow><mrow class = "- topic/foreign "><mi class = "- topic/foreign ">n</mi></mrow></mroot></mrow></math></span></p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= SQRT</p></td>
<td class = "entry"><p>Square root </p></td>
<td class = "entry"><p>sqrt(A)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= INT</p></td>
<td class = "entry"><p>Integer </p></td>
<td class = "entry"><p>int(A)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= NINT</p></td>
<td class = "entry"><p>Nearest integer number </p></td>
<td class = "entry"><p>nint(A)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= SIGN</p></td>
<td class = "entry"><p>Sign function </p></td>
<td class = "entry"><p>sign(A)</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= DELTA_1</p></td>
<td class = "entry"><p>Difference between 2 iterations  A(i) - A(i-1).</p></td>
<td class = "entry"/>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= DELTA_2</p></td>
<td class = "entry"><p>Difference between 2 iterations  A(i) - A(i-2).</p></td>
<td class = "entry"/>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= DELTA_3</p></td>
<td class = "entry"><p>Difference between 2 iterations  A(i) - A(i-3).</p></td>
<td class = "entry"/>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= DELTA_4</p></td>
<td class = "entry"><p>Difference between 2 iterations  A(i) - A(i-4).</p></td>
<td class = "entry"/>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= DELTA_5</p></td>
<td class = "entry"><p>Difference between 2 iterations  A(i) - A(i-5).</p></td>
<td class = "entry"/>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= DELTA_6</p></td>
<td class = "entry"><p>Difference between 2 iterations  A(i) - A(i-6).</p></td>
<td class = "entry"/>
</tr>
<tr class = "row">
<td class = "entry" colspan = "3"><p>Operators with up to 10 operands</p></td>
<td class = "entry"><p>Operands defined by item <code class = "ph codeph">VARIABLE</code>.</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= COMBINE</p></td>
<td class = "entry"><p>Weighted addition</p></td>
<td class = "entry"><p>w1*VAR1 + w2*VAR2</p></td>
</tr>
<tr class = "row">
<td class = "entry" colspan = "4"><p>Specifying the operands with their <code class = "ph codeph">ID_NAME</code>:</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p><span class = "ph uicontrol">VAR_A</span></p></td>
<td class = "entry" colspan = "2"><p>= &lt;<code class = "ph codeph">var_id_a</code>&gt;</p></td>
<td class = "entry"/>
</tr>
<tr class = "row">
<td class = "entry"><p><span class = "ph uicontrol">VAR_B</span></p></td>
<td class = "entry" colspan = "2"><p>= &lt;<code class = "ph codeph">var_id_b</code>&gt;</p></td>
<td class = "entry"/>
</tr>
<tr class = "row">
<td class = "entry"><p>VAR_C</p></td>
<td class = "entry" colspan = "2"><p>= &lt;<code class = "ph codeph">var_id_c</code>&gt;</p></td>
<td class = "entry"/>
</tr>
<tr class = "row">
<td class = "entry"><p>VAR_D</p></td>
<td class = "entry" colspan = "2"><p>= &lt;<code class = "ph codeph">var_id_d</code>&gt;</p></td>
<td class = "entry"/>
</tr>
<tr class = "row">
<td class = "entry" colspan = "4"><p>Additional settings for the operators <code class = "ph codeph">NPOWER</code>, <code class = "ph codeph">NROOT</code> and <code class = "ph codeph">FILTER</code>:</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p>EXPONENT</p></td>
<td class = "entry" colspan = "2"><p>= &lt;<code class = "ph codeph">exponent_value</code>&gt;</p></td>
<td class = "entry"><p>real value </p></td>
</tr>
<tr class = "row">
<td class = "entry" colspan = "4"><p>Additional settings for the operator <code class = "ph codeph">FILTER</code>:</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p>RADIUS</p></td>
<td class = "entry"><p>= &lt;<code class = "ph codeph">radius_value</code>&gt;</p></td>
<td class = "entry"><p>real value </p></td>
<td class = "entry"><p>The radius defines the maximum distance for influencing neighbour nodes.</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p>SIGMA</p></td>
<td class = "entry"><p>= &lt;<code class = "ph codeph">value</code>&gt;</p><p><span class = "ph uicontrol">= 0.2</span></p></td>
<td class = "entry"><p>real value </p></td>
<td class = "entry"><p>Sigma defines the reduction of the radius depending on the surface bending.</p></td>
</tr>
<tr class = "row">
<td class = "entry" colspan = "4"><p>Additional settings for the operator <code class = "ph codeph">CUT_OFF</code>:</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p>CUT_OFF_LOW</p></td>
<td class = "entry"><p>= &lt;<code class = "ph codeph">value</code>&gt;</p></td>
<td class = "entry"><p>real value </p></td>
<td class = "entry"><p>Lower bound of the vector value. All values under this value will be treated as zero.</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p>CUT_OFF_HIGH</p></td>
<td class = "entry"><p>= &lt;<code class = "ph codeph">value</code>&gt;</p></td>
<td class = "entry"><p>real value </p></td>
<td class = "entry"><p>Upper bound of the vector value. All values higher than this value will be set to the cut off value.</p></td>
</tr>
<tr class = "row">
<td class = "entry" colspan = "4"><p>Operands for <code class = "ph codeph">VAR_OPER = COMBINE</code>:</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p>VARIABLE</p></td>
<td class = "entry" colspan = "2"><p>= &lt;<code class = "ph codeph">var_id_1</code>&gt;, &lt;<code class = "ph codeph">weight1</code>&gt;</p><p><span class = "ph uicontrol">= &lt;</span><span class = "ph uicontrol">var_id_1</span><span class = "ph uicontrol">&gt;, 1</span></p></td>
<td class = "entry"><p><code class = "ph codeph">ID_NAME</code> of variable <code class = "ph codeph">VAR1</code> with weight factor w1 for combination</p></td>
</tr>
</tbody></table>

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