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<p style="Title" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Compatibility and Calculation Switches</p>
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<phrase>floating point calculations</phrase>
<phrase>binding rules</phrase>
<phrase>programming</phrase>
<phrase>compatibility</phrase>
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<p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The options in Compatibility and Calculation tabs on the<b> Tools &gt; Worksheet Options</b> dialog control how your worksheets are interpreted. </p>
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<p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The Compatibility tab allows you to retain certain behaviors from previous versions of Mathcad until your worksheets have been migrated to version-neutral expressions. When Mathcad 11 or older worksheets are opened, the switches are set to mimic Mathcad 11 behavior. The same is true for Mathcad 12 worksheets. The Compatibility switches will be deprecated after several versions; they are intended to give you time to migrate your worksheets to version-neutral expressions.</p>
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<phrase>compatibility</phrase>
<phrase>calculation tab</phrase>
<phrase>Mathcad 11</phrase>
<phrase>Mathcad 12</phrase>
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<p style="Subhead" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">0/0 and Truncation Functions</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Use the Calculation tab options on <b>Tools &gt; Worksheet Options</b> dialog to control behavior of 0/0 and the truncation functions. These options will remain in future versions of Mathcad, allowing you to decide how you want these expressions to be interpreted.</p>
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<phrase>zero divided by zero</phrase>
<phrase>truncation functions compatibility</phrase>
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<f family="Verdana" charset="0" size="10">Local Assignment Return</f>
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<phrase>local assignment return</phrase>
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<p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The first compatibility switch determines which side of a local assignment is returned by the expression. In Mathcad 12, local assignments returned the left-hand side of their expressions. Mathcad 13 and 14 return the right-hand side by default, which is the same behavior as in Mathcad 11 and previous versions. Mathcad 12 worksheets read into Mathcad 14 switch to left-hand-side local assignment return. </p>
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<b>
<c val="#800000">Mathcad 11, 13, and 14</c>
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<c val="#800000">Mathcad 12</c>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Modify the Compatibility tab switch from Mathcad 11 to Mathcad 12 behavior to see the difference in the result of the expression on the left.</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">We recommend that you include an explicit return statement at the end of this type of program, so you always get the intended return value regardless of which version you are using.</p>
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<f family="Verdana" charset="0" size="10">Multiple Assignment</f>
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<phrase>multiple assignment</phrase>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Multiple assignments are two or more interdependent variable assignments made within a single expression, typically within an array. Mathcad 14 makes all assignments simultaneously, without considering the results of other assignments within the region. The behavior of Mathcad 13 and many previous versions of Mathcad was the same. Mathcad 11 performs assignments sequentially, which produces different results, as shown in the case below. Mathcad 11 worksheets read into Mathcad 14 switch to sequential assignments. </p>
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<b>Mathcad 14</b>
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<p style="comment" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Mathcad 11</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">vs. </p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">We recommend breaking apart such assignments so that you get the desired result, regardless of version and independent of the switch.</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Simultaneous assignment corresponds to the order of assignment behavior locally in programs for all versions.</p>
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<f family="Verdana" charset="0" size="10">Divide by 0 </f>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Look on the Calculation tab of <b>Tools &gt; Worksheet Options </b>for the 0/0 behavior setting. In previous versions of Mathcad, 0/0 = 0. The default behavior in Mathcad 13 and 14 conforms with IEEE recommendations: 0/0 produces an error. You can switch this behavior in each worksheet to conform to the old behavior, if desired. </p>
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<p style="comment" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Mathcad 12</p>
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<f family="Verdana" charset="0" size="10">Precision of Truncation Functions</f>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Just as with Boolean equality, you can choose the precision to which Mathcad evaluates numbers when truncating them. First, note the difference in precision given different orders of operation.</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">If you truncate these values using the <b>floor</b> function, you get a different result in each case:</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">You can switch the precision of the truncation functions <b>floor</b>, <b>ceil</b>, and <b>trunc</b> to use fewer significant digits (12 versus 17) by unchecking the "Use exact equality for comparisons and truncations" switch on the Calculation tab of <b>Tools &gt; Worksheet Options</b>. When only 12 digits are considered in calculating the floor of the two calculations above, there is no difference in the result. This performance switch is equivalent to the <b>
<u>
<link href=".\..\..\Programming\boole.xmcd" title="Links to section" popup="false">switch on Boolean comparisons.</link>
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