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Intrinsic SCILAB Functions

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SCILAB provides a large number of standard elementary mathematical functions, including abs , sqrt, exp, and sin. Taking the square root or logarithm of a negative number is not an error; the appropriate complex result is produced automatically. SCILAB also provides many more advanced mathematical functions. For a list of the elementary mathematical functions, type >> help elfun

For a list of more advanced mathematical and matrix functions, type

>>help specfun and >> help elmat

Some of the functions, like sqrt and sin, are built in. Built-in functions are part of the SCILAB core so they are very efficient, but the computational details are not readily accessible. There are some differences between built-in functions and other functions. For example, for built-in functions, you cannot see the code. For other functions, you can see the code and even modify it if you want.

Several special functions provide values of useful constants.

%pi 3.14159265...
%eps Floating-point relative precision,
%inf Infinity
%nan Not-a-number
%e Number e=2.7182818

Infinity is generated by dividing a nonzero value by zero, or by evaluating well defined mathematical expressions that overflow, i.e., exceed realmax. Not-a-number is generated by trying to evaluate expressions like 0/0 or Inf-Inf that do not have well defined mathematical values.

The function names are not reserved. It is possible to overwrite any of them with a new variable, such as eps = 1.e-6 and then use that value in subsequent calculations. The original function can be restored with clear eps.

 

 

Table 4.1 - SCILAB Functions

Function Description
sin(x) sinus of x; x in radians
cos(x) cosinus of x; x in radians
tan(x) tangent of x; x in radians
sec(x) secant of x; x in radians
csc(x) cosecant of x; x in radians
cot(x) cotangent of x; x in radians
asin(x) arc sinus of x
sinh(x) hyperbolic sinus of x
asinh(x) inverse hyperbolic sinus of x
exp(x) exponential of x -
log(x) natural logarithm of x -
log10(x) base 10 logarithm of x -
sqrt(x) square root of x -
power(x,a) x to the power of a -
abs(x) absolute value of x -
round(x) round x towards nearest integer
floor(x) round x towards minus infinity
ceil(x) Round x towards infinity

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