Built-In Fuctions Supported by EMSO
In the topics below are listed the Built-In Functions Supported by the EMSO process simulator.
Examples of use of the functions were added at the library EML in the folder
sample/miscellaneous.
Element-by-Element Functions
All functions in this category work for scalars, vectors, and matrices.
The returned values of these functions always have the same dimensions of its arguments.
Hyperbolic
| hyperbolic sine | sinh(Z) | Returns the hyperbolic sine of Z
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| hyperbolic cosine | cosh(Z) | Returns the hyperbolic cosine of Z
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| hyperbolic tangent | tanh(Z) | Returns the hyperbolic tangent of Z
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| hyperbolic cotangent | coth(Z) | Returns the hyperbolic cotangent of Z
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Trigonometric
| sine | sin(Z) | Returns the sine of Z
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| cosine | cos(Z) | Returns the cosine of Z
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| tangent | tan(Z) | Returns the tangent of Z
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| arc sine | asin(Z) | Returns the angle whose sine is Z
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| arc cosine | acos(Z) | Returns the angle whose cosine is Z
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| arc tangent | atan(Z) | Returns the angle whose tangent is Z
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Mathematic
| exponential | exp(Z) | Returns the exponential function, e raised to the power Z
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| logarithm | log(Z) | Returns the base 10 logarithm of Z
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| natural logarithm | ln(Z) | Returns the natural logarithm (base e) of Z
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| square root | sqrt(Z) | Returns the square root of Z
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| Time derivative | diff(Z) | Returns the derivative of a function Z with respect to time
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Discontinuous Functions
| absolute value | abs(Z) | Returns the magnitude or absolute value of Z
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| maximum value | max(Z) | Returns the maximum value of Z
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| minimum value | min(Z) | Returns the minimum value of Z
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| signal | sign(Z) | Returns the signal of Z (sign(Z):-1 if Z < 0 e 1 if Z > 0)
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| small integer | round(Z) | Returns the small integer value of Z
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The functions in this category make sense only for vector and matrix arguments.
The return value can be a scalar, vector, or matrix depending on the function and the argument.
Vector and Matrix
| sum | sum(VEC) | Returns a scalar with the sum of all elements of the vector VEC
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| | sum(MAT) | Returns a vector with the sum of each column of the matrix MAT
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| | sumt(MAT) | Returns a vector with the sum of each row of the matrix MAT
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| product | prod(VEC) | Returns a scalar with the product of all elemtns of the vector VEC
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| | prod(MAT) | Returns a vector with the product of each column of the matrix MAT
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| | prodt(MAT) | Returns a vector with the product of each row of the matrix MAT
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| transpose | transp(MAT) | Returns the transpose of a matrix MAT
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