SciDAVis supports different interpreters for evaluating mathematical expressions and for executing scripts.
The constants _e=e=E and _pi=pi=PI=Pi are defined, as well as the following operators and functions. muParser is purely a parser for mathematical expressions and as such does not support executing scripts.
Table 7-1. Supported Mathematical Operators
| Name | Description |
|---|---|
| + | Addition |
| - | Substraction |
| * | Multiplication |
| / | Division |
| ^ | Exponentiation (raise a to the power of b) |
| and | logical and (returns 0 or 1) |
| or | logical or (returns 0 or 1) |
| xor | logical exclusive or (returns 0 or 1) |
| < | less then (returns 0 or 1) |
| <= | less then or equal (returns 0 or 1) |
| == | equal (returns 0 or 1) |
| >= | greater then or equal (returns 0 or 1) |
| > | greater then (returns 0 or 1) |
| != | not equal (returns 0 or 1) |
Table 7-2. Mathematical Functions
| Name | Description |
|---|---|
| abs(x) | absolute value of x |
| acos(x) | inverse cosinus |
| acosh(x) | inverse hyperbolic cosinus |
| asin(x) | inverse sinus |
| asinh(x) | inverse hyperbolic sinus |
| atan(x) | inverse tangent |
| atanh(x) | inverse hyperbolic tangent |
| avg(x1,x2,x3,...) | average value, this command accept a list of arguments separated by commas |
| bessel_j0(x) | Regular cylindrical Bessel function of zeroth order, J0(x). |
| bessel_j1(x) | Regular cylindrical Bessel function of first order, J1(x). |
| bessel_jn(x,n) | Regular cylindrical Bessel function of nth order, Jn(x). |
| bessel_y0(x) | Irregular cylindrical Bessel function of zeroth order, Y0(x) for x>0. |
| bessel_y1(x) | Irregular cylindrical Bessel function of first order, Y1(x) for x>0. |
| bessel_yn(x,n) | Irregular cylindrical Bessel function of nth order, Yn(x) for x>0. |
| beta (a,b) | Computes the Beta Function, B(a,b) = Gamma(a)*Gamma(b)/Gamma(a+b) for a > 0 and b > 0. |
| cos(x) | cosinus of x |
| cosh(x) | hyperbolic cosinus of x |
| erf(x) | error function of x |
| erfc(x) | Complementary error function erfc(x) = 1 - erf(x). |
| erfz(x) | The Gaussian probability density function Z(x). |
| erfq(x) | The upper tail of the Gaussian probability function Q(x). |
| exp(x) | Exponential function: e raised to the power of x. |
| gamma(x) | Computes the Gamma function, subject to x not being a negative integer |
| gammaln(x) | Computes the logarithm of the Gamma function, subject to x not a being negative integer. For x<0, log(|Gamma(x)|) is returned. |
| hazard(x) | Computes the hazard function for the normal distribution h(x) = erfz(x)/erfq(x). |
| ln(x) | natural logarythm of x |
| log(x) | decimal logarythm of x |
| log2(x) | base 2 logarythm of x |
| min(x1,x2,x3,...) | Minimum of the list of arguments |
| max(x1,x2,x3,...) | Maximum of the list of arguments |
| rint(x) | Round to nearest integer. |
| sign(x) | Sign function: -1 if x<0; 1 if x>0. |
| sin(x) | sinus of x |
| sinh(x) | hyperblic sinus of x |
| sqrt(x) | square root of x |
| tan(x) | tangent of x |
| tanh(x) | hyperbolic tangent of x |
Table 7-3. Non-Mathematical Functions
| Name | Description |
|---|---|
| cell(a,b) | In the contex of a matrix, returns the value at row a and column b. In the context of a table, returns the value at column a and row b (remember that tables use column logic). Everywhere else, this function is undefined. |
| col(c) | Only works in the context of a table. Returns the value at column c and row i (the current row) in the context table. c can either be the column's number, or its name in doublequotes. |
| if(e1,e2,e3) | if e1 is true, e2 is executed else e3 is executed. |
| tablecol(t,c) | Only works in the context of a table. Returns the value at column c and row i (the current row) in the table t. t is the table's name in doublequotes, c is either the column's number or its name in doublequotes. |