View source for Template:Cts-solve

{{#expr:{{{low|0}}} - ({{#expr:( ( {{{high|0}}} - {{{low|0}}} )/( ( {{{x_high|5}}} + {{{shift|0}}} )^ {{{power|0.5}}} - ( {{{x_low|1}}} + {{{shift|0}}} )^ {{{power|0.5}}} )) }}   )*({{{x_low|1}}}+{{{shift|0}}})^{{{power|0.75}}} }}
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Use for solving for [[Template:cts]] for given values.

<pre>
{{cts-solve
|high=  
|low=
|t= 
|x_high= (default 5, optional)
|x_low= (default 1, optional)
|power= (default 0.5, optional)
|shift= (default 0, optional)
|add= (default 0, optional)
}}
</pre>

Input: power(=0), add(=0), shift(=0), x_low (=1), x_high(=5), low, high, (raw or log), t 

Psuedo code for '''m''':
*'''m''' = (high - low) / ( (x_high+shift)^power - (x_low+shift)^power )
* '''Expr for m''': <nowiki>{{#expr:( ( {{{high|0}}} - {{{low|0}}} )/( ( {{{x_high|5}}} + {{{shift|0}}} )^ {{{power|0.5}}} - ( {{{x_low|1}}} + {{{shift|0}}} )^ {{{power|0.5}}} )) }}</nowiki>

Psuedo code for '''b''':
* '''b''' = low - m*(x_low+shift)^power
* '''Expr for b''' (unexpanded): <nowiki>{{#expr:{{{low|0}}} - (m)*({{{xlow|1}}}+{{{shift|0}}})^{{{power|0.75}}} }}</nowiki>
* '''Expr for b''' (expanded):  <nowiki>{{#expr:{{{low|0}}} - ({{#expr:( ( {{{high|0}}} - {{{low|0}}} )/( ( {{{x_high|5}}} + {{{shift|0}}} )^ {{{power|0.5}}} - ( {{{x_low|1}}} + {{{shift|0}}} )^ {{{power|0.5}}} )) }}   )*({{{x_low|1}}}+{{{shift|0}}})^{{{power|0.75}}} }}</nowiki>

Output = m * (t+shift)^power + b + add

((high - low) / ( (x_high+shift)^power - (x_low+shift)^power ) ) * ((t+shift)^power) + (low - ( (high - low) / ( (x_high+shift)^power - (x_low+shift)^power ) ) *(x_low+shift)^power) + add

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