04-Functions-in-MATLAB-4UP

# 04-Functions-in-MATLAB-4UP - Function m-files...

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Unformatted text preview: Function m-files Workspaces/subfunctions Anonymous functions Functions in M ATLAB Dhavide Aruliah UOIT MATH 2070U c D. Aruliah (UOIT) Functions in MATLAB MATH 2070U 1 / 23 Function m-files Workspaces/subfunctions Anonymous functions Functions in M ATLAB 1 Function m-files 2 Function workspaces and subfunctions 3 Anonymous functions c D. Aruliah (UOIT) Functions in MATLAB MATH 2070U 2 / 23 Function m-files Workspaces/subfunctions Anonymous functions Functions in mathematics Function f : A B is mapping from domain A to range B Black box mapping input data to output data Functions necessary abstraction in calculus, algebra Functions useful also in programming Clean, efficient way to partition tasks into easier subtasks f Input Output c D. Aruliah (UOIT) Functions in MATLAB MATH 2070U 4 / 23 Function m-files Workspaces/subfunctions Anonymous functions Function functions Basic need in scientific computing to pass functions to functions e.g., to obtain a zero of function f ( x ) = x- cos ( x ) , MATLAB function fzero needs to accept function f as input argument Function handle : data type (denoted @ ) for functions (like pointer) Function function : MATLAB a function that operates on another function (i.e., accepts a function handle as an input argument) We will use certain function functions (e.g., fzero ) often f = @(z) z-cos(z); % Create anonymous function x = fzero(f,[0,1]) % Find zero of function f in [0,1] y = fzero(@cot,[1,2]) % Use handle of cotangent function (Confusing for now, but well see a lot of examples later. . . ) c D. Aruliah (UOIT) Functions in MATLAB MATH 2070U 5 / 23 Function m-files Workspaces/subfunctions Anonymous functions Function m-files First executable line: function definition function [ outputs ] = fname( inputs ) I Keyword function lower-case I outputs is list of output variables enclosed in brackets [ ] I inputs is list of input variables enclosed in parentheses ( ) I fname is name of function (follows rules for identifiers) Name of m-file is fname.m ( must match fname ) Input/output variables also called arguments c D. Aruliah (UOIT) Functions in MATLAB MATH 2070U 6 / 23 Function m-files Workspaces/subfunctions Anonymous functions Example: distance in polar coordinates Points P 1 &amp; P 2 have polar coordinates ( r 1 , 1 ) and ( r 2 , 2 ) respectively Distance d (by law of cosines): d = q r 2 1 + r 2 2- 2 r 1 r 2 cos ( 1- 2 ) P 1 P 2 2 1 r 1 r 2 d c D. Aruliah (UOIT) Functions in MATLAB MATH 2070U 7 / 23 Function m-files Workspaces/subfunctions Anonymous functions Example: distance in polar coordinates function d = polardist(r1,theta1,r2,theta2) % POLARDIST computation of distance in polar coordinates...
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## This note was uploaded on 02/23/2010 for the course MATH 2070 taught by Professor Aruliahdhavidhe during the Spring '10 term at UOIT.

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04-Functions-in-MATLAB-4UP - Function m-files...

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