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framerate(3) [debian man page]

FrameRate(3)							    libltcsmpte 						      FrameRate(3)

NAME
FrameRate - Frame rate data structure. SYNOPSIS
#include <framerate.h> Data Fields int num numerator; rational framerate: numerator/denominator int den denominator; rational framerate: numerator/denominator int flags combination of FRFlags; int samplerate audio-samplerate for conversion. long long int aoffset user-data: offset in audio-frames long int voffset user-data: offset in video-frames Detailed Description Frame rate data structure. Examples: tests/decoder.c, and tests/encoder.c. Definition at line 55 of file framerate.h. Field Documentation long long int FrameRate::aoffset user-data: offset in audio-frames Definition at line 61 of file framerate.h. int FrameRate::den denominator; rational framerate: numerator/denominator Definition at line 58 of file framerate.h. int FrameRate::flags combination of FRFlags; Definition at line 59 of file framerate.h. int FrameRate::num numerator; rational framerate: numerator/denominator Definition at line 57 of file framerate.h. int FrameRate::samplerate audio-samplerate for conversion. Definition at line 60 of file framerate.h. long int FrameRate::voffset user-data: offset in video-frames Definition at line 62 of file framerate.h. Author Generated automatically by Doxygen for libltcsmpte from the source code. Version 0.4.4 Fri Apr 27 2012 FrameRate(3)

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math::rationalfunctions(n)					       Math						math::rationalfunctions(n)

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NAME
math::rationalfunctions - Polynomial functions SYNOPSIS
package require Tcl ?8.4? package require math::rationalfunctions ?1.0.1? ::math::rationalfunctions::rationalFunction num den ::math::rationalfunctions::ratioCmd num den ::math::rationalfunctions::evalRatio rational x ::math::rationalfunctions::addRatio ratio1 ratio2 ::math::rationalfunctions::subRatio ratio1 ratio2 ::math::rationalfunctions::multRatio ratio1 ratio2 ::math::rationalfunctions::divRatio ratio1 ratio2 ::math::rationalfunctions::derivPolyn ratio ::math::rationalfunctions::coeffsNumerator ratio ::math::rationalfunctions::coeffsDenominator ratio _________________________________________________________________ DESCRIPTION
This package deals with rational functions of one variable: o the basic arithmetic operations are extended to rational functions o computing the derivatives of these functions o evaluation through a general procedure or via specific procedures) PROCEDURES
The package defines the following public procedures: ::math::rationalfunctions::rationalFunction num den Return an (encoded) list that defines the rational function. A rational function 1 + x^3 f(x) = ------------ 1 + 2x + x^2 can be defined via: set f [::math::rationalfunctions::rationalFunction [list 1 0 0 1] [list 1 2 1]] list num Coefficients of the numerator of the rational function (in ascending order) list den Coefficients of the denominator of the rational function (in ascending order) ::math::rationalfunctions::ratioCmd num den Create a new procedure that evaluates the rational function. The name of the function is automatically generated. Useful if you need to evaluate the function many times, as the procedure consists of a single [expr] command. list num Coefficients of the numerator of the rational function (in ascending order) list den Coefficients of the denominator of the rational function (in ascending order) ::math::rationalfunctions::evalRatio rational x Evaluate the rational function at x. list rational The rational function's definition (as returned by the rationalFunction command). order) float x The coordinate at which to evaluate the function ::math::rationalfunctions::addRatio ratio1 ratio2 Return a new rational function which is the sum of the two others. list ratio1 The first rational function operand list ratio2 The second rational function operand ::math::rationalfunctions::subRatio ratio1 ratio2 Return a new rational function which is the difference of the two others. list ratio1 The first rational function operand list ratio2 The second rational function operand ::math::rationalfunctions::multRatio ratio1 ratio2 Return a new rational function which is the product of the two others. If one of the arguments is a scalar value, the other ratio- nal function is simply scaled. list ratio1 The first rational function operand or a scalar list ratio2 The second rational function operand or a scalar ::math::rationalfunctions::divRatio ratio1 ratio2 Divide the first rational function by the second rational function and return the result. The remainder is dropped list ratio1 The first rational function operand list ratio2 The second rational function operand ::math::rationalfunctions::derivPolyn ratio Differentiate the rational function and return the result. list ratio The rational function to be differentiated ::math::rationalfunctions::coeffsNumerator ratio Return the coefficients of the numerator of the rational function. list ratio The rational function to be examined ::math::rationalfunctions::coeffsDenominator ratio Return the coefficients of the denominator of the rational function. list ratio The rational function to be examined REMARKS ON THE IMPLEMENTATION
The implementation of the rational functions relies on the math::polynomials package. For further remarks see the documentation on that package. BUGS, IDEAS, FEEDBACK This document, and the package it describes, will undoubtedly contain bugs and other problems. Please report such in the category math :: rationalfunctions of the Tcllib SF Trackers [http://sourceforge.net/tracker/?group_id=12883]. Please also report any ideas for enhance- ments you may have for either package and/or documentation. KEYWORDS
math, rational functions COPYRIGHT
Copyright (c) 2005 Arjen Markus <arjenmarkus@users.sourceforge.net> math 1.0.1 math::rationalfunctions(n)
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