[b6b73a]: devel / polynomialCurves2d / polynomialDerivate.m  Maximize  Restore  History

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## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
## documentation and/or other materials provided with the distribution.
##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
function deriv = polynomialDerivate(poly)
#POLYNOMIALDERIVATE Derivate a polynomial
#
# DERIV = polynomialDERIVATE(POLY)
# POLY is a row vector of [n+1] coefficients, in the form:
# [a0 a1 a2 ... an]
# DERIV has the same format, with length n:
# [a1 a2*2 ... an*n]
#
#
# Example
# T = polynomialDerivate([2 3 4])
# returns:
# T = [3 8]
#
# See also
# polynomialCurves2d
#
# ------
# Author: David Legland
# e-mail: david.legland@grignon.inra.fr
# Created: 2007-02-23
# Copyright 2007 INRA - BIA PV Nantes - MIAJ Jouy-en-Josas.
# create the derivation matrices
matrix = diag(0:length(poly)-1);
# compute coefficients of first derivative polynomials
deriv = circshift(poly*matrix, [0 -1]);

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