Feel++

Mathematical Expressions

Following tables present tools to declare and manipulate expressions.

Feel++ Keyword

Description

Px()

Variable \$x\$

Py()

Variable \$y\$

Pz()

Variable \$z\$

cst( c )

Constant function equal to \$c\$

You can of course use all current operators ( + - / * ) and the usual following functions:

Feel++ Keyword

Math Object

Description

abs(expr)

\$|f(\overrightarrow{x})|\$

element wise absolute value of \$f\$

cos(expr)

\$\cos(f(\overrightarrow{x}))\$

element wise cos value of \$f\$

sin(expr)

\$\sin(f(\overrightarrow{x}))\$

element wise sin value of \$f\$

tan(expr)

\$\tan(f(\overrightarrow{x}))\$

element wise tan value of \$f\$

acos(expr)

\$\mathrm{acos}(f(\overrightarrow{x}))\$

element wise acos value of \$f\$

asin(expr)

\$\mathrm{asin}(f(\overrightarrow{x}))\$

element wise asin value of \$f\$

atan(expr)

\$\mathrm{atan}(f(\overrightarrow{x}))\$

element wise atan value of \$f\$

cosh(expr)

\$\cosh(f(\overrightarrow{x}))\$

element wise cosh value of \$f\$

sinh(expr)

\$\sinh(f(\overrightarrow{x}))\$

element wise sinh value of \$f\$

tanh(expr)

\$\tanh(f(\overrightarrow{x}))\$

element wise tanh value of \$f\$

exp(expr)

\$\exp(f(\overrightarrow{x}))\$

element wise exp value of \$f\$

log(expr)

\$\log(f(\overrightarrow{x}))\$

element wise log value of \$f\$

sqrt(expr)

\$\sqrt{f(\overrightarrow{x})}\$

element wise sqrt value of \$f\$

ceil(expr)

\$\lceil{f(\overrightarrow{x})}\rceil\$

element wise ceil of \$f\$

floor(expr)

\$\lfloor{f(\overrightarrow{x})}\rfloor\$

element wise floor of \$f\$

sign(expr)

\$\begin{cases} 1 & \text{if}\ f(\overrightarrow{x}) \geq 0\\-1 & \text{if}\ f(\overrightarrow{x}) < 0\end{cases}\$

element wise sign value of \$f\$

chi(expr)

\$\chi(f(\overrightarrow{x}))=\begin{cases}0 & \text{if}\ f(\overrightarrow{x}) = 0\\1 & \text{if}\ f(\overrightarrow{x}) \neq 0\\\end{cases}\$

element wise boolean test of \$f\$