Expression Syntax - Revision history

Nairnj: /* Supported Functions */

2023-03-28T22:26:09Z

Supported Functions

← Older revision		Revision as of 22:26, 28 March 2023
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	<li><tt>sinbox(A,x)</tt> - 0 if x< 0, A sin(πx) if 0<x<1, 0 if x>1</li>		<li><tt>sinbox(A,x)</tt> - 0 if x< 0, A sin(πx) if 0<x<1, 0 if x>1</li>
	<li><tt>tri(x)</tt> - 1-\|x\| for -1 < x < 1, 0 otherwise</li>		<li><tt>tri(x)</tt> - 1-\|x\| for -1 < x < 1, 0 otherwise</li>
	<li><tt>mod(A,x)</tt> - remainder of A/x and workings with non-integer values (useful for creating periodic functions)</tt>		<li><tt>mod(A,x)</tt> - remainder of A/x and workings with non-integer values (useful for creating [[User_Defined_Functions#Periodic_Boundary_Condition_Function\|periodic functions]])</tt>
	<li><tt>rand(x)</tt> - a random number between 0 and x.</li>		<li><tt>rand(x)</tt> - a random number between 0 and x.</li>
	<li><tt>cdfinv(x)</tt> - find inverse of the cumulative distribution function. For a random variable ''Z'' with mean ''m'' and standard deviation σ, the value of ''x'' such that the probability that ''Z''<''x'' is ''p'' is equal to ''x''=''m''+σ*<tt>cdfinv(p)</tt>.</li>		<li><tt>cdfinv(x)</tt> - find inverse of the cumulative distribution function. For a random variable ''Z'' with mean ''m'' and standard deviation σ, the value of ''x'' such that the probability that ''Z''<''x'' is ''p'' is equal to ''x''=''m''+σ*<tt>cdfinv(p)</tt>.</li>

Nairnj: /* Supported Functions */

2023-03-28T22:16:48Z

Supported Functions

← Older revision		Revision as of 22:16, 28 March 2023
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	<li><tt>sinbox(A,x)</tt> - 0 if x< 0, A sin(πx) if 0<x<1, 0 if x>1</li>		<li><tt>sinbox(A,x)</tt> - 0 if x< 0, A sin(πx) if 0<x<1, 0 if x>1</li>
	<li><tt>tri(x)</tt> - 1-\|x\| for -1 < x < 1, 0 otherwise</li>		<li><tt>tri(x)</tt> - 1-\|x\| for -1 < x < 1, 0 otherwise</li>
			<li><tt>mod(A,x)</tt> - remainder of A/x and workings with non-integer values (useful for creating periodic functions)</tt>
	<li><tt>rand(x)</tt> - a random number between 0 and x.</li>		<li><tt>rand(x)</tt> - a random number between 0 and x.</li>
	<li><tt>cdfinv(x)</tt> - find inverse of the cumulative distribution function. For a random variable ''Z'' with mean ''m'' and standard deviation σ, the value of ''x'' such that the probability that ''Z''<''x'' is ''p'' is equal to ''x''=''m''+σ*<tt>cdfinv(p)</tt>.</li>		<li><tt>cdfinv(x)</tt> - find inverse of the cumulative distribution function. For a random variable ''Z'' with mean ''m'' and standard deviation σ, the value of ''x'' such that the probability that ''Z''<''x'' is ''p'' is equal to ''x''=''m''+σ*<tt>cdfinv(p)</tt>.</li>

Nairnj: /* Numeric Functions */

2021-01-03T20:12:03Z

Numeric Functions

← Older revision		Revision as of 20:12, 3 January 2021
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	<li><tt>tri(x)</tt> - 1-\|x\| for -1 < x < 1, 0 otherwise</li>		<li><tt>tri(x)</tt> - 1-\|x\| for -1 < x < 1, 0 otherwise</li>
	<li><tt>rand(x)</tt> - a random number between 0 and x.</li>		<li><tt>rand(x)</tt> - a random number between 0 and x.</li>
	<li><tt>cdfinv(x)</tt> - find inverse of the cumulative distribution function. For a random variable ''Z'' with mean ''m'' and standard deviation ''σ'', the value of ''x'' such that the probability that ''Z''<''x'' is ''p'' is equal to ''x''=''m''+''σ''*<tt>cdfinv(p)</tt>.</li>		<li><tt>cdfinv(x)</tt> - find inverse of the cumulative distribution function. For a random variable ''Z'' with mean ''m'' and standard deviation σ, the value of ''x'' such that the probability that ''Z''<''x'' is ''p'' is equal to ''x''=''m''+σ*<tt>cdfinv(p)</tt>.</li>
	</ul>		</ul>

Nairnj: /* Numeric Functions */

2021-01-03T20:11:33Z

Numeric Functions

← Older revision		Revision as of 20:11, 3 January 2021
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	<li><tt>tri(x)</tt> - 1-\|x\| for -1 < x < 1, 0 otherwise</li>		<li><tt>tri(x)</tt> - 1-\|x\| for -1 < x < 1, 0 otherwise</li>
	<li><tt>rand(x)</tt> - a random number between 0 and x.</li>		<li><tt>rand(x)</tt> - a random number between 0 and x.</li>
			<li><tt>cdfinv(x)</tt> - find inverse of the cumulative distribution function. For a random variable ''Z'' with mean ''m'' and standard deviation ''σ'', the value of ''x'' such that the probability that ''Z''<''x'' is ''p'' is equal to ''x''=''m''+''σ''*<tt>cdfinv(p)</tt>.</li>
	</ul>		</ul>

Nairnj: /* Numeric Functions */

2019-09-10T03:33:14Z

Numeric Functions

← Older revision		Revision as of 03:33, 10 September 2019
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	<li><tt>tri(x)</tt> - 1-\|x\| for -1 < x < 1, 0 otherwise</li>		<li><tt>tri(x)</tt> - 1-\|x\| for -1 < x < 1, 0 otherwise</li>
	<li><tt>rand(x)</tt> - a random number between 0 and x.</li>		<li><tt>rand(x)</tt> - a random number between 0 and x.</li>
	~~<li><tt>rand()</tt> - a random number between 0 and the argument.</li>~~
	</ul>		</ul>

Nairnj: /* Notes */

2019-08-19T18:05:57Z

Notes

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	provided the variable is already a defined variable. It is an error if the variable has not previously been defined.		provided the variable is already a defined variable. It is an error if the variable has not previously been defined.
	</li>		</li>

	<li><font color="red">Alert</font>: In [[NairnFEAMPMViz]], an unsigned number cannot use exponential form (''e.g.'', 4.56e-3) unless the entire expression is that number (''e.g.'', #x=4.56e-3 is OK, but #x=2*4.56e-3 is not).</li>

	</ol>		</ol>

Nairnj: /* Supported Functions */

2019-08-13T07:16:28Z

Supported Functions

← Older revision		Revision as of 07:16, 13 August 2019
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	== Supported Functions ==		== Supported Functions ==

			=== Numeric Functions ===

	The following numeric functions are supported in both [[NairnFEAMPM]] and [[NairnFEAMPMViz]]:		The following numeric functions are supported in both [[NairnFEAMPM]] and [[NairnFEAMPMViz]]:
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	</ul>		</ul>

			=== String Functions ===
	Each string function takes a single string expression as an argument. Some functions embed sub-arguments delimited by back slashes within the evaluated single string expression. The following string functions are supported in both [[NairnFEAMPM]] and [[NairnFEAMPMViz]]:		Each string function takes a single string expression as an argument. Some functions embed sub-arguments delimited by back slashes within the evaluated single string expression. The following string functions are supported in both [[NairnFEAMPM]] and [[NairnFEAMPMViz]]:

Nairnj: /* Supported Functions */

2019-08-13T07:15:41Z

Supported Functions

← Older revision		Revision as of 07:15, 13 August 2019
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	<li><tt>cosh()</tt> - hyperbolic cosine</li>		<li><tt>cosh()</tt> - hyperbolic cosine</li>
	<li><tt>tanh()</tt> - hyperbolic tangent</li>		<li><tt>tanh()</tt> - hyperbolic tangent</li>
			<li><tt>erf()</tt> - error function</li>
			<li><tt>erfc()</tt> - error function complement</li>
	<li><tt>exp()</tt> - exponential</li>		<li><tt>exp()</tt> - exponential</li>
	<li><tt>log()</tt> - natural log</li>		<li><tt>log()</tt> - natural log</li>
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	<li><tt>rand(x)</tt> - a random number between 0 and x.</li>		<li><tt>rand(x)</tt> - a random number between 0 and x.</li>
	<li><tt>rand()</tt> - a random number between 0 and the argument.</li>		<li><tt>rand()</tt> - a random number between 0 and the argument.</li>
	~~</ul>~~

	~~The following numeric functions are supported only in scripts to create input files (in [[NairnFEAMPM]] and [[NairnFEAMPMViz]]):~~

	~~<ul>~~
	~~<li><tt>erf()</tt> - error function.</li>~~
	~~<li><tt>erfc()</tt> - error function complement.</li>~~
	</ul>		</ul>

Nairnj: /* Supported Functions */

2019-08-12T22:56:23Z

Supported Functions

← Older revision		Revision as of 22:56, 12 August 2019
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	</ul>		</ul>

	The following numeric functions are supported only in [[NairnFEAMPM]]:		The following numeric functions are supported only in scripts to create input files (in [[NairnFEAMPM]] and [[NairnFEAMPMViz]]):

	<ul>		<ul>

Nairnj: /* Supported Functions */

2019-08-12T22:50:14Z

Supported Functions

← Older revision		Revision as of 22:50, 12 August 2019
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	<li><tt>abs()</tt> - absolute value</li>		<li><tt>abs()</tt> - absolute value</li>
	<li><tt>int()</tt> - integer part</li>		<li><tt>int()</tt> - integer part</li>
	<li><tt>sign()</tt> - 1 if ~~argument~~ is positive or 0 if it is negative</li>		<li><tt>sign(x)</tt> - 1 if x is positive or 0 if it is negative</li>
			<li><tt>sgn(x)</tt> - -1 if x <0, 0 if x=0, and +1 if x>0</li>
			<li><tt>ramp(A,x)</tt> - 0 if x< 0, Ax if 0<x<1, A if x>1</li>
			<li><tt>cosramp(A,x)</tt> - 0 if x< 0, (A/2)(1-cos(πx)) if 0<x<1, A if x>1</li>
			<li><tt>box(A,x)</tt> - 0 if x< 0, A if 0<x<1, 0 if x>1</li>
			<li><tt>sinbox(A,x)</tt> - 0 if x< 0, A sin(πx) if 0<x<1, 0 if x>1</li>
			<li><tt>tri(x)</tt> - 1-\|x\| for -1 < x < 1, 0 otherwise</li>
			<li><tt>rand(x)</tt> - a random number between 0 and x.</li>
	<li><tt>rand()</tt> - a random number between 0 and the argument.</li>		<li><tt>rand()</tt> - a random number between 0 and the argument.</li>
	</ul>		</ul>