MATH


The math routine operates on attributes of a mesh object(s). It performs arithmetic operations or evaluates mathematical functions on the source mesh object or objects, and places the results in the sink mesh object. The source and sink mesh objects can be the same, and there can be either one or two source objects, depending on the operation selected.

All attributes must have the same type, rank, and length.

Mathematical functions other than floor and ceiling are not implemented for attributes whose values are integers.

SYNTAX

math/operation/cmo_sink/attr_sink/1,0,0/cmo_src/attr_src / [value]

math / integrate /cmo_sink/attr_sink/1,0,0/ attr_src_field

operation The first parameter a keyword that indicates the type of work to perform, see below.

cmo_sink attr_sink are the sink cmo and sink attribute for the math results to be written to. These parameters are required for all math operations.

1 0 0 is the selected range istart,ilast,istride where 1,0,0 represents all. The selections can also be defined by pset or eltset.

value is required by some math operations and can be of type constant or can be a cmo attribute. For the standard arithmetic operations, value can be either a constant or an attribute. These arithmetic operations work for all types of attributes. For the mathematical functions other than floor and ceiling, value is omitted, and the function is performed on the src_attr and stored in the sink_attr.

cmo_src2/attr_src2/ where cmo_src2 may be the same name as the source cmo, or the name of a second source cmo.

attr_src2 assumes attribute is part of cmo_src

constant is a numerical value that is provided for some of the operations.

OPERATIONS

plus add minus sub subtract times multiply mult divide min max modulo are arithmetic operators; the result is stored in sink_attr where sink_attr = (src_attr) operator value. Where value can be a constant or mesh object attribute.

min max are not to be confused with the minimum or maximum value of an attribute; rather the the result is a comparison of pairs of source values.

sin cos tan ln (natural log), and log10 are mathematical functions. The value parameter is omitted, and the function is performed on the src_attr and stored in the sink_attr. These functions are not implemented for integer attributes.

floor and ceiling are mathematical functions where value is used as the lower or upper limit, the value(s) of src_attr are checked against value, and the results are stored in the sink_attr. These functions work for all types of attributes.

power function uses both value parameters. The first value or src_attr is raised to the power of the second value or attribute. You cannot use two constants. At least one of the sources must be an attribute. The result is stored in the sink_attr.

exp and exp10 functions raise the constant e or the constant 10 to the power specified by src_attr and stores the result in the sink_attr.

sum adds all node or element values in attr_src, within the selected range and writes the result to attr_sink. The sink attribute must be of type ‘REAL’ or ‘INT’ (length=’scalar’) and will be created if it does not exist.

integrate for elements only. It is a function that computes the product of ‘field_value’ times the ‘element volume’ at each element and either saves these products (or sums) to the sink attribute.

The ‘field_value’ for an element is either the value of attr_src (if attr_src is an element attribute and has length ‘nelements’) or is the average of the values at the vertices of the element (if attr_src is a node attribute).

If sink_attr does not exist or if it exists and has length ‘nelements’, the products are stored in sink_attr.

If sink_attr exists and has length ‘scalar’, then the products are summed up and the result is stored in sink_attr.

If the user requires just the integrated sum this alternative avoids having to use the pair of commands integrate, sum and also avoids creating the ‘nelement’ long sink attribute.

EXAMPLES

math/multiply/ sink_mo/sink_attribute/50,60,3/src_mo/src_attribute/1.0

math/add/ mo/attribute/50,60,3/mo/attribute/100.0

math/modulo/ mo/attribute/1,0,0/mo/attribute/10

math/sub/ sink_mo/sink_attribute/50,60,3/src_mo1/src_attribute1/src_mo2/src_attribute2/

math/min/ sink_mo/sink_attribute/1,0,0/src_mo1/src_attribute1/src_mo2/src_attribute2/

math/ln/ sink_mo/sink_attribute/1,0,0/src_mo/src_attribute/

math/floor/ sink_mo/sink_attribute/1,0,0/src_mo/src_attribute/2.0/

math/power/ sink_mo/sink_attribute/1,0,0/src_mo/src_attribute/2.0/

math/power/ sink_mo/sink_attribute/1,0,0/2.0/src_mo/src_attribute/

math/power/ sink_mo/sink_attribute/1,0,0/base_mo/base_attribute/power_mo/power_attr

math/exp/ sink_mo/sink_attribute/1,0,0/src_mo/src_attribute/

math/exp10/ sink_mo/sink_attribute/1,0,0/src_mo/src_attribute/

math/integrate/ cmotri /Vf /1,0,0/ cmotri/ Fn

math/sum/cmotri / Vfsum /1,0,0/ cmotri / Vf

math/sum/cmotri / area_sum /1,0,0/ cmotri / darea