function [] = pp(varargin)
%PP Plots and manipulates polar plots
%
% PP(THETA,R) plots the polar representation of THEATA and R with the
% centre and max values being the minimum and maximum values of R.
%
% PP(THETA,R,S) plots as above, where S is a character string made from
% standard plotting formatting in the PLOT function. See HELP PLOT.
%
% PP(THETA,R,A) plots as above, but within the axis limits of A. A is
% a 1x2 or 2x1 array containing the centre value and maximum value of
% the polar plot ring axes.
%
% PP(THETA,R,'Property 1',...) plots as above with the selected
% properties. See below for propterties.
%
% PP('Property 1',...) edits the current figure (if it is a polar plot
% figure) to the assigned properties.
%
% PP('Trace', 3, 'Property 1', ... , 'Trace', 1, 'Property 10', ... )
% changes properties of trace 3 and trace one. Any properties defined
% after the trace belong to that trace until a new trace number is
% defined.
%
% PROPERTIES: DEFAULT POSSIBLE
% --------------- ----------- ----------
%
% GENERAL PLOTTING:
% 'ThetaDirection' 'ccw' 'cw','ccw'
% 'LineStyle' '-' see PLOT
% 'LineWidth' 1 1,2,...
% 'LineColor' 'b' see PLOT or RGB vector
% 'Marker' 'none' see PLOT
% 'ThetaStartAngle' 0 0-360
% 'ppStyle' 0 0,1,2
%
% AXES RANGE:
% 'MaxValue' 'max' numeric value (greater than CetreValue)
% 'CentreValue' 'min' numeric value (less than MaxValue)
%
% ANGLE AXIS:
% 'AngleAxis' 'on' 'on','off','none'
% 'AngleStep' 30 numeric value
% 'AngleAxisStyle' ':' see PLOT
% 'AngleAxisColor' black see PLOT or RGB vector
% 'AngleLineWidth' 1 1,2,...
% 'AngleLabel' 'on' 'on','off','none'
% 'AngleLabelStep' same as axis numeric value
% 'AngleFontSize' 10 numeric value
% 'AngleFontColor' black see PLOT or RGB vector
% 'AngleFontWeight' 'normal' 'normal','bold','light','demi'
% 'AngleDegreeMark' 'off' 'off',0, 'on',1
%
% RING AXIS:
% 'NumRings' 4 integer value >= 0
% 'RingAxis' 'on' 'on','off','none'
% 'RingAxisStyle' ':' see PLOT
% 'RingAxisColor' black see PLOT or RGB vector
% 'RingStep' cal. from No. rings integer value > 0
% 'RingLineWidth' 0.1 1,2,...
% 'RingLabel' 'on' 'on','off','none'
% 'RingFontSize' 10 numeric value
% 'RingFontWeight' 'normal' 'normal','bold','light','demi'
% 'RingFontColor' black see PLOT or RGB vector
% 'AxisOuterRingStyle' '-' see PLOT
% 'RingUnits' '' Some String Value
% 'MagMarkAngle' 45 0-360
%
% FIGURE PROPERTIES:
% 'FigurePosition'
% 'FigureBackgroundColor'
% 'PlotBackgroundColor'
% 'PlotBorderColor'
% 'PlotBorderLineColor'
%
% TRACE:
% 'Trace' 1 any trace number
% 'LineStyle' '-' see PLOT
% 'LineWidth' 1 1,2,...
% 'LineColor' 'b' see PLOT or RGB vector
% 'Marker' 'none' see PLOT
% 'RhoData'
% 'ThetaData'
%
% OTHER:
% 'SetupVariables'
% 'Axes'
%
% Author: Robert Schlub
% Last Modified: 4th December 2002
%Setup global variables that will be used within function blocks
global DB args oc NewTrace Traces CreateNewFigure r theta tc axis_limits HoldWasOn ErrorFlag ppStyle;
%default settings
tc = struct( 'line_color', [0 0 1] ,... RGB or PLOT value of line color
'line_style', '-' ,... line style string same as PLOT function
'line_width', 1 ,... line width of trace
'line_marker', 'none' ,... line marker style
'trace_index', 1 ,... trace number identifier
'trace_string', '' );% trace string identifier
oc = struct( 'theta_start', 0 ,... theta start angle in degrees
'angle_step', 30 ,... number of theta markers
'angle_label_step', 0 ,... number of theta labels
'number_of_rings', 4 ,... number of magnitude rings
'max_mag', 'max' ,... maximum ring magnitude ('max' makes data's max value it)
'centre_value', 'min' ,... minimum ring value (centre value)
'background_color', [0.8 0.8 0.8] ,... background color
'theta_direction', 'ccw' ,... direction of theta increment
'ring_step', 0 ,... step size of rings
'mag_mark_angle', 45 ,... angle of magnitude labels
'axes_hold', 'off' ,... flag to tell whether axis hold is on or off
'ring_color', 'k' ,... ring axis color
'ring_style', ':' ,... ring axis style
'ring_line_width', 0.1 ,... ring axis line width
'ring_border_line_width',0.5 ,... ring border line width
'angle_axis', '' ,... angle axis is ON or OFF
'angle_color', 'k' ,... angle axis color
'angle_style', ':' ,... angle axis style
'angle_label', '' ,... angle axis labels are ON or OFF
'angle_line_width', 0.1 ,... angle axis line width
'angle_font_size', 10 ,... angle axis font size
'angle_font_color', 'k' ,... angle axis font color
'angle_font_weight', 'normal' ,... angle axis font weight
'angle_degree_mark', 'off' ,... degree symbol placed with angle text
'ring_axis', '' ,... ring axis is ON or OFF
'ring_label', '' ,... ring axis labels are ON or OFF
'ring_font_size', 10 ,... ring axis font size
'ring_font_color', 'k' ,... ring axis font color
'ring_font_weight', 'normal' ,... ring axis font weight
'figure_position', [300 150 583 500] ,... figure position and size
'outer_ring_style', '-' ,... ring axis border style
'ring_units', '' ,... ring axis units string
'plot_area_color', [1 1 1] ,... color inside ring axes (the plot area)
'circ_border_color', '' ,... color of circular border
'circ_border_line_color', '' );% color of line defining circular border
%First Argument defines what is expected as the user input to say which option is wanted
%First Flag is: 1 if there is data expected after the argurment
% 0 if no data expected but contents of third column gets copied into 4th column variable
%Second Flag is : s if string data only is expected
% v if numerical data only is expected (values)
% vs if numerical or string data can be accepted
% st if structure data expected
%Final string variable points to which variable which the corresponding data is to be assigned to
% Argument flag flag variable to alter
args = {'SetupVariables' 1 'st' 'oc' %initial setup variables
'ThetaDirection' 1 's' 'oc.theta_direction' %theta direction (CW/CCW)
'CentreValue' 1 'vs' 'oc.centre_value' %centre value of graph
'MaxValue' 1 'vs' 'oc.max_mag' %max value of graph
'LineStyle' 1 's' 'Traces{TraceIndex*2}.line_style' %trace style
'LineWidth' 1 'v' 'Traces{TraceIndex*2}.line_width' %trace width
'LineColor' 1 'vs' 'Traces{TraceIndex*2}.line_color' %trace color
'Marker' 1 's' 'Traces{TraceIndex*2}.line_marker' %trace marker style
'ThetaStartAngle' 1 'v' 'oc.theta_start' %theta start angle (refer note below)
'AngleAxis' 1 's' 'oc.angle_axis' %angle axis is ON or OFF
'AngleStep' 1 'v' 'oc.angle_step' %angle axis step size (between axes)
'AngleAxisStyle' 1 's' 'oc.angle_style' %angle axis style
'AngleAxisColor' 1 'vs' 'oc.angle_color' %angle axis color
'AngleLineWidth' 1 'vs' 'oc.angle_line_width' %angle axis line width
'AngleLabel' 1 's' 'oc.angle_label' %angle axis label is ON or OFF
'AngleLabelStep' 1 'v' 'oc.angle_label_step' %angle axis label step size
'AngleFontSize' 1 'v' 'oc.angle_font_size' %angle axis label font size
'AngleFontColor' 1 'vs' 'oc.angle_font_color' %angle axis font color
'AngleFontWeight' 1 's' 'oc.angle_font_weight' %angle axis label font weight
'AngleDegreeMark', 1 'vs' 'oc.angle_degree_mark' %marks the degrees character with angle text
'NumRings' 1 'v' 'oc.number_of_rings' %ring axes number
'RingAxis' 1 's' 'oc.ring_axis' %ring axis is on or off
'RingAxisStyle' 1 's' 'oc.ring_style' %ring axis style
'RingAxisColor' 1 'vs' 'oc.ring_color' %ring axis color
'RingStep' 1 'v' 'oc.ring_step' %ring axis step size
'RingBorderLineWidth' 1 'v' 'oc_ring_border_line_width' %ring border line width
'RingLineWidth' 1 'vs' 'oc.ring_line_width' %ring axis line width
'RingLabel' 1 's' 'oc.ring_label' %ring axis labeling is ON or OFF
'RingFontSize' 1 'v' 'oc.ring_font_size' %ring axis label font size
'RingFontWeight' 1 's' 'oc.ring_font_weight' %ring axis label font size
'RingFontColor' 1 'vs' 'oc.ring_font_color' %ring axis font color
'AxisOuterRingStyle' 1 's' 'oc.outer_ring_style' %ring axis border (circumference) style
'RingUnits' 1 's' 'oc.ring_units' %ring axis label units
'MagMarkAngle' 1 'v' 'oc.mag_mark_angle' %ring axis label angle
'FigurePosition' 1 'vs' 'oc.figure_position' %position and size of figure on screen
'FigureBackgroundColor' 1 'vs' 'oc.background_color' %figure background color (outside plot area)
'PlotBackgroundColor' 1 'vs' 'oc.plot_area_color' %plot area background color
'PlotBorderLineColor' 1 'vs' 'oc.circ_border_line_color' %circular border line color
'PlotBorderColor' 1 'vs' 'oc.circ_border_color' %circular border color
'Axis' 1 'vs' 'axis_limits' %limits of axis
'Axes' 1 'vs' 'axis_limits' %limits of axes (as in plural spelling but same result)
'Trace' 1 'v' 'TraceIndex' %current trace number - used to edit plot parameters of the trace
'ThetaData', 1 'v' 'Traces{TraceIndex*2-1}(:,2)' %Theta data
'RhoData', 1 'v' 'Traces{TraceIndex*2-1}(:,1)' %Rho Data
'ppStyle', 1 'v' 'ppStyle' %A style of axes presentation
};
%NOTES:
%ThetaStartAngle is relative to the direction of theta. ie, a start angle of 90 will be 180 differnt between
%clock wise and counter clock wise direction of theta.
%Setup a space for Traces
Traces = '';
%set up the variable axis limits. It is a 1x2 array whose first element contains the centre value and second
%element contains the max magnitude.
axis_limits = [0 0];
%If ErrorFlag ever goes to 1 then will be quitting out
ErrorFlag = 0;
%Set default value of ppStyle
%Style Types:
% 0: No Changes
% 1: Default
% 2: Grey solid axes with 'dB' as ring units and degree marks present
%
ppStyle = 0;
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% %
% MAIN %
% %
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%First check all input arguments and ensure they are valid. Also get back a flag to say whether the new data
%is being added or not (if not, then simple figure/axes/current_trace properties are being changed
CheckInput(varargin);
if ErrorFlag, return; end
%if NewTrace == 0 or hold is on, then load the user_data from the current figure and fill 'oc' and 'Traces'
LoadExistingData;
if ErrorFlag, return; end
%Assign input arguments to their corresponding variables
AssignInput(varargin); %this will overwrite any varibales in oc etc that have been updated
if ErrorFlag, return; end
AssignStyle(ppStyle);
if ErrorFlag, return; end
CheckAxisLimits;
if ErrorFlag, return; end
CheckPlotLimits;
if ErrorFlag, return; end
SetupFigure;
%Save Userdata to figure
UserData{1} = 'Bobs Polar Plot';
UserData{2} = oc;
UserData = [UserData Traces];
set(gcf,'UserData', UserData); %save updated trace data into figure
PlotAxes;
for i=1:2:length(Traces)
ThetaPlot = SetupTheta( Traces{i}(:,2) );
DB = 0;
if(i>1)
DB = 1;
% keyboard
end
[RPlot ThetaPlot PlotProperties] = SetupR( Traces{i}(:,1) , ThetaPlot );
PlotTrace(ThetaPlot, RPlot, PlotProperties, Traces{i+1});
end
if HoldWasOn == 0
hold off
end
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% %
% CHECK INPUT %
% %
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%This function will go through the input string entered into pp(). It will simply ensure
%valid ordering of commands and will assign NewTrace a value depending on if Trace Data
%is present or not in the input arguments
function CheckInput(VariableArgIn)
global args NewTrace ErrorFlag;
%find the number or inputs and the number of possible arguments
num_inputs = length(VariableArgIn);
m = 0;
NewTrace = 0; %This is set if there is data (in the form of a trace) to be added to the plot
%now, step through all the arguments and compare them to valid arguments
while m < num_inputs %number of inputs into function (ie number of variables separated by commas)
m = m + 1;
n = 0;
%if the first element is numeric check the second element to ensure it is also numberic and the same length
%as theta and r must be the same sizes
if m == 1 & isnumeric(VariableArgIn{m})
%check to make sure there is a second input argument
if num_inputs < 2
DispError('No Rho values Present');
return
end
if isnumeric(VariableArgIn{m+1}) & max(length(VariableArgIn{m+1})) == max(length(VariableArgIn{m}))
m = 2; %move to after the RHO element which was just analysed
%now check to see if the next input is the axes limits (it will be if its a numeric value)
%this is the only case the third input can be numeric (without a property identifier)
if num_inputs > 2
if isnumeric(VariableArgIn{m+1}) %m = 3 now
m = 3; %move to after the AXIS LIMITS variable which was just analysed
end
end
else
DispError('THETA and R must be an equal length 1xm or mx1 array or variables');
return
end
%if we have got here without error then there is a valid new trace being added or created
NewTrace = 1;
continue; %skip through to start of while loop again
end
%search for the string in the args array and return the args index
index = FindArgsIndex(VariableArgIn{m});
%if an index was found and another agument is expected to complete it, then ensure that
%the input after it is valid (string, value of struct)
if index > 0 & args{index,2} == 1 %if another argument is expected to complete this one
if m + 1 > num_inputs %if there is no more completeing argument
DispError(['No input argument for "' VariableArgIn{m} '"']) %exit
return
end
%check 2nd flag of args to see if string or number is expected
switch args{index,3}
case 'v' %assign variable with number
if ischar(VariableArgIn{m+1})
DispError(['The input argument for "' VariableArgIn{m} '" must be numerical']);
return
end %note the lack of break sends the case through to string check
case 's' %assign variable with string
if ischar(VariableArgIn{m+1}) == 0
DispError(['The input argument for "' VariableArgIn{m} '" must be a string']);
return
end
case 'vs'
if (ischar(VariableArgIn{m+1}) == 0 & isnumeric(VariableArgIn{m+1}) == 0)
DispError(['The input argument for "' VariableArgIn{m} '" must be either numerical, or a string (not a cell, struct etc.)']);
return
end
case 'st' %the only structure is the 'SetupVariables' cell
if isstruct(VariableArgIn{m+1}) == 0
DispError(['The input argument for "' VariableArgIn{m} '" must be a structure']);
return
end
end
m = m+1; %increment the m counter so that input of the argument is not checked as an argument
%in the case that the string wasn't found in args, it might be a standard plotting string. This will only
%happen if m = 3 and a trace is being added. If thats the case then ensure then ensure the string is valid
elseif index == 0 & m == 3 & NewTrace & length(VariableArgIn{m}) <= 4
CheckStandardPlot(VariableArgIn{m}); %this will quit out if there is a syntax error in the string
if ErrorFlag, return; end
%Otherwise the string is not valid
else
DispError(['The argument "' VariableArgIn{m} '" is not valid. See help']);
return
end
end
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% %
% LoadExistingData - LOAD EXISTING DATA %
% %
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%If hold is on or existing figure properties are being modified, then load the existing figures user_data
function LoadExistingData
global Traces oc NewTrace CreateNewFigure HoldWasOn;
%Default is to Create a new figure
CreateNewFigure = 1;
%Default HoldWasOn flag is 0 (ie hold was not on)
HoldWasOn = 0;
if max(findobj) ~= 0
%if hold is on then set the HoldWasOn flag so it can be turned on after all plotting complete
if ishold
HoldWasOn = 1;
end
%if the current figure has hold on or we are editing an existing figure then we need to check to make sure its valid
if ishold | NewTrace==0
user_data = get(gcf, 'UserData');
if ~strcmp(user_data{1}, 'Bobs Polar Plot')
DispError('Current figure is not a valid polar plot figure - it must be created using the pp function');
return
end
%If the figure is valid, then load the oc structure from it
oc = user_data{2};
%Load the existing Traces
if(length(user_data)>2)
Traces = cell(1,length(user_data)-2);
for i=1:length(user_data)-2
Traces{i} = user_data{i+2};
end
end
%if hold is on, or just properties are being added then we don't want to be creating a new figure later on
CreateNewFigure = 0;
end
%Otherwise if no figure is present but no new trace data exists then there is an error
elseif NewTrace == 0
DispError('No figure to modify properties of');
return
end
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% %
% ASIGN INPUT %
% %
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function AssignInput(VariableArgIn)
global theta r args axis_limits NewTrace Traces tc oc ppStyle;
num_inputs = length(VariableArgIn);
%set default trace
TraceIndex = 1;
m = 0; %needs to be zero for the while loop 35 lines below
%First assign theta, r and axis_limits if a new trace is being entered
if NewTrace
%If a trace is being added append two cells on the end of Traces (one for the r/theta values
%and the other for tc)
Traces = [Traces cell(1,2)];
%set the trace number an unassigned number
TraceIndex = length(Traces)/2;
%setup the default trace properties structure;
tc.trace_index = TraceIndex;
Traces{TraceIndex*2} = tc;
m = 1; %Look at the first element of VariableArgIn (which should be the theta data)
theta = VariableArgIn{m}; %Get the Theta Data
r = VariableArgIn{m+1}; %Get the Rho Data
%set theta, rho and original theta to be column vectors if they aren't already
[rows cols] = size(theta);
if rows == 1
theta = theta';
end
[rows cols] = size(r);
if rows == 1
r = r';
end
%assign the theta and r values to the appropriate trace
Traces{TraceIndex*2-1} = [r theta];
m = 2; %move to the RHO element which was just analysed
%now check to see if the next input is the axes limits (it will be if its a numeric value) or
%the standard plot string (it will be if its a string that can't be found)
if num_inputs > 2
%if numeric, then must be axis limits
if isnumeric(VariableArgIn{m+1}) %m = 2 now (3 lines up)
axis_limits = VariableArgIn{m+1};
m = 3; %move to the axis limits variable which was just analysed
%if string and non existant in args, then must be standard plotting values
elseif FindArgsIndex(VariableArgIn{m+1}) == 0
[Color, Marker, Style] = CheckStandardPlot(VariableArgIn{m+1});
%Assign the color, marker and style if they were defined
if ~isempty(Color)
Traces{TraceIndex*2}.line_color = Color;
end
if ~isempty(Marker)
Traces{TraceIndex*2}.line_marker = Marker;
end
if ~isempty(Style)
Traces{TraceIndex*2}.line_style = Style;
end
m = 3;
end
end
end
%now, step through all the remaining string arguments and compare them to valid arguments (in args)
while m < num_inputs %number of inputs into function (ie number of variables separated by commas)
m = m + 1;
%find the index in args of the current input argument - we know the index exists as error checking
%has been done previously
index = FindArgsIndex(VariableArgIn{m});
%if another argument is expected to complete this one then assign it (error checking has already
%been performed)
if args{index,2} == 1
eval([args{index,4} '= VariableArgIn{m+1};'])
m = m+1; %increment the m counter so that input of the argument is not checked as an argument
else %if no other arugument is needed assign third colum of args to variable in 4th column
eval([args{index,4} '= args{index,3}']);
end
end
%NOTES:
%
% TaceIndex: The user must enter the argument "..., 'Trace', 3, ..." for trace parameters
% of trace 3 to be altered. In doing so, the while loop above will set TraceIndex
% to 3. Afterwards, when line style/color etc are altered the evaluation
% 'Traces{TraceIndex*2}.line_style' (see args) will be used so trace 3 will have
% its properties successfully altered.
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% %
% FIND ARGS INDEX %
% %
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function [index] = FindArgsIndex(StringToFind)
global args;
index = 1; %start at the first row
%search through the args struct till find index varibale in StringToFind
while ~strcmp(args{index,1},StringToFind)
index = index + 1;
%if searched through entire args rows and couldn't find a match then break and return 0
if index > length(args(:,1))
index = 0;
break;
end
end
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% %
% CHECK AXIS LIMITS %
% %
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function CheckAxisLimits
global oc axis_limits args
%check to see if the axis_limits array elments are empty. If they are not, then it means they have been
%filled by the user in the arguments of the function call. Therefore, change the appropriate centre value
%and/or maximum magnitude. Because this happens after the assigning of arguments and their variables (above),
%then if the 'CentreValue' or 'MaxMag' arguments were used, then they will be overwritten by the axis_limits
if isnumeric(axis_limits) & (size(axis_limits) == [1 2] | size(axis_limits) == [2 1])
%if both are zero then user hasn't changed axis (or if they have entered [0 0], then its invalid
%because you can't have centre value and max mag equal and therefore this pretends that they haven't
%been this stupid on purpose)
if axis_limits(1) ~= 0 | axis_limits(2) ~= 0
%but sometimes, you just have to protect the users from themselves
if axis_limits(1) == axis_limits(2)
disp(' ');disp('Cannot make centre value and maximum mag value the same');disp(' ');
else
%if valid then assign the centre and max variables to their vew values
oc.centre_value = axis_limits(1); %set the center value to the first element
oc.max_mag = axis_limits(2); %set the max value to the second element
end
end
elseif ischar(axis_limits) & (strcmpi(axis_limits,'off') | strcmpi(axis_limits,'none'))
oc.ring_axis = 'off';
oc.angle_axis = 'off';
elseif ischar(axis_limits) & strcmpi(axis_limits,'on')
oc.ring_axis = 'on';
oc.angle_axis = 'on';
else
DispError('"Axis" must be followed by 1x2 or 2x1 numerical vector, or by "on", "off" or "none" strings');
return
end
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% %
% SETUP FIGURE %
% %
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function SetupFigure
global CreateNewFigure oc
%If creating a new figure (flag set in LoadExistingData) then create one
%if CreateNewFigure
% figure;
%else
clf reset; %Otherwise if hold is on, or property modification only, then reset
%end %the current figure for full redraw
%Set the figure properties
set(gcf,'Color',oc.background_color,'Position',oc.figure_position)
%Turn hold on for drawing of axes and traces
hold on
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% %
% PLOT AXES %
% %
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function PlotAxes
global oc r
%check to see if the degrees character is supposed to be plotted or not
degrees_string = '';
if(min(oc.angle_degree_mark == 1) == 1 | strcmp(oc.angle_degree_mark, 'on'))
degrees_string = '^{\o}';
end
%angle system for all corresponding axis
phi = 0:0.01:2*pi;
%make a circle for the plot's circular border
if ~isempty(oc.circ_border_line_color) | ~isempty(oc.circ_border_color)
border_line = 1.3;
x = border_line*cos(phi);
y = border_line*sin(phi);
if ~isempty(oc.circ_border_color)
fill(x,y,oc.circ_border_color,'LineStyle','none','HandleVisibility','off');
end
if ~isempty(oc.circ_border_line_color)
plot(x,y,'Color',oc.circ_border_line_color,'LineWidth',2,'HandleVisibility','off');
end
axis([-1.55 1.55 -1.55 1.55])
else
axis([-1.2 1.2 -1.2 1.2])
end
%Make up maximum magnitudes and minimum magnitudes
if strcmp(oc.max_mag,'max')
oc.max_mag = max(r);
end
if strcmp(oc.centre_value, 'min')
oc.centre_value = min(r);
end
plot_range = oc.max_mag - oc.centre_value;
%Draw the concentric circles (rings)
rings = 1; %outer ring
if oc.ring_step == 0 %if number of rings defined (default) and not ring step then...
for i = 1:1:oc.number_of_rings
rings = [rings (oc.number_of_rings-i)/oc.number_of_rings];
end
else
if oc.ring_step > plot_range
disp('Warning: Ring step is larger than plotting range (max_mag - centre_value)');
end
for i = 1-oc.ring_step/plot_range:-oc.ring_step/plot_range:0 %If user define ring step then...
rings = [rings i];
end
end
%draw the plot fill circle only if one of the axes are on
if (~strcmpi(oc.ring_axis,'off') & ~strcmpi(oc.ring_axis,'none')) |...
(~strcmpi(oc.angle_axis, 'none') & ~strcmpi(oc.angle_axis, 'off'))
fill(cos(phi),sin(phi),oc.plot_area_color,'HandleVisibility','off')
end
%only draw the ring axis and its labels if axis is not set of 'OFF'
if ~strcmpi(oc.ring_axis, 'off') & ~strcmpi(oc.ring_axis, 'none')
for i = 1:1:length(rings) %plot the rings
x = rings(i)*cos(phi);
y = rings(i)*sin(phi);
if(rings(i) == 1) %if on the outer ring, then make a solid line unless user specifies otherwise
plot(x,y,'Color',oc.ring_color,'LineStyle',oc.outer_ring_style,'LineWidth',oc.ring_border_line_width,...
'HandleVisibility','off');
else
plot(x,y,'Color',oc.ring_color,'LineStyle',oc.ring_style,'LineWidth',oc.ring_line_width,...
'HandleVisibility','off');
end
end
%Draw on the text labeling the magnitude
angle_of_mark = oc.mag_mark_angle*pi/180;
if ~strcmpi(oc.ring_label,'off') & ~strcmpi(oc.ring_label,'none') %the strcmpi is case insensitive
for i = 1:1:length(rings)
x = (rings(i)+0.0*oc.max_mag)*cos(angle_of_mark);
y = (rings(i)+0.0*oc.max_mag)*sin(angle_of_mark);
if(rings(i) == 1) %if on the outer ring's value, then insert units if user has defined them
text(x,y,[num2str(round(rings(i)*plot_range*1000)/1000+round(oc.centre_value*1000)/1000) oc.ring_units],...
'FontSize',oc.ring_font_size, 'FontWeight',oc.ring_font_weight,...
'HorizontalAlignment','left', 'VerticalAlignment','bottom','Color',oc.ring_font_color,...
'HandleVisibility','off')
else
text(x,y,num2str(round(rings(i)*plot_range*1000)/1000+round(oc.centre_value*1000)/1000),...
'FontSize',oc.ring_font_size, 'FontWeight',oc.ring_font_weight,...
'HorizontalAlignment','left','VerticalAlignment','bottom','Color',oc.ring_font_color,...
'HandleVisibility','off')
end
end
end
end
%Draw the angle markers
if strcmp(oc.angle_step,'') %if angle step not defined
phi = (oc.theta_start:360/no_angle_marks:oc.theta_start+359)*pi/180; %angle of marks
phit = oc.theta_start:360/no_angle_marks:oc.theta_start+359; %angle of labels
else %if angle step defined
phi = (oc.theta_start:oc.angle_step:oc.theta_start+359)*pi/180;
phit = oc.theta_start:oc.angle_step:oc.theta_start+359;
end
%only draw the angle axis and its labels if axis is not set of 'OFF'
if ~strcmpi(oc.angle_axis, 'off') & ~strcmpi(oc.angle_axis, 'none')
for i = 1:1:length(phi)
x = 1*cos(phi(i));
y = 1*sin(phi(i));
plot([0 x],[0 y],'Color',oc.angle_color,'LineStyle',oc.angle_style,'LineWidth',oc.angle_line_width,...
'HandleVisibility','off')
end
%if labels should not be put on every anlge mark then change the text anlges accordingly
if oc.angle_label_step ~= 0
phit = oc.theta_start:oc.angle_label_step:oc.theta_start+359;
end
if strcmp(oc.theta_direction,'cw')
phit = -phit;
end
%Draw on text labeling the angles
if ~strcmpi(oc.angle_label,'off') & ~strcmpi(oc.angle_label,'none')
for i = 1:1:length(phit)
x = 1*1.15*cos(phit(i)*pi/180);
y = 1*1.15*sin(phit(i)*pi/180);
text(x,y,[num2str(abs(phit(i))-oc.theta_start) degrees_string],...
'FontSize',oc.angle_font_size,'FontWeight',oc.angle_font_weight,...
'HorizontalAlignment','center','VerticalAlignment','middle',...
'Color',oc.angle_font_color,'HandleVisibility','off')
end
end
end
axis off
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% %
% SETUP THETA %
% %
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%transform the input to plot out correctly in cartesian coordinates
function theta = SetupTheta(theta)
global oc
theta = theta + oc.theta_start/180*pi;
if strcmp(oc.theta_direction,'cw')
theta = -theta;
end
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% %
% SETUP R %
% %
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function [norm_r, theta, PlotProperties] = SetupR(r, theta)
global oc DB
%make a note of the original maximum and minimum values of r
max_r = max(r);
min_r = min(r);
plot_range = oc.max_mag - oc.centre_value;
%shift r values so minimum is at 0 + centre value difference
norm_r = r - oc.centre_value;
norm_r = norm_r/plot_range; %normalise r values between 0 and 1 where 0 is centre
%value and 1 is max distance from centre (plot_range)
%check all values and any that are negative (and therefore less than the centre value) are made
%equal to the centre value
for i = 1:1:length(norm_r)
if norm_r(i) < 0
norm_r(i) = 0;
end
end
%These normalised r values now need to be examined and any values outiside of the
%the maximum magnitude need to be discarded. However, if there is interpolation between
%2 points (one inside the max and one outside) then a new point on this interpolation needs
%to be added in so the line from the point inside the axis still extends out to the outer
%ring. Therefore, a new array of r values which only contain plottable values and additional
%points that are needed is made.
PlotNumCounter = 0; %Number of plots (ie number of sections within the unity circle)
InPlotFlag = 0; %if 1, this flag means that current points are in a plotting section
PlotStartFlag = []; %This will be an array containing the start points for the plot sections
PlotBreakFlag = []; %This will be an array containing the break points for the plot sections
for i = 1:1:length(norm_r)
%the first point that is on or in the unity circle is allocated as the first section's start point
if isempty(PlotStartFlag) & norm_r(i)<=1
PlotStartFlag = i;
InPlotFlag = 1;
PlotNumCounter = 1;
else
%If a point is outside the unity circle and not in the void between a break point
%and start point then allocate the break point to the point previous to this one
if(norm_r(i) > 1 & InPlotFlag == 1)
PlotBreakFlag = [PlotBreakFlag i-1];
InPlotFlag = 0;
end
%If a point is on or in the unity circle and currently is in the void between a break
%point and start point then allocate this point as the start point of a new section
if(norm_r(i) <= 1 & InPlotFlag == 0)
PlotStartFlag = [PlotStartFlag i];
InPlotFlag = 1;
PlotNumCounter = PlotNumCounter + 1;
end
end
end
%finally, if the last point was in a plotting section then have to define it as the break point
%Bugfixed as per Dr. Thomas Patzelts suggestion from 2/12-08.
if(InPlotFlag == 1)
if isempty(PlotBreakFlag)
PlotBreakFlag = length(norm_r);
else
PlotBreakFlag = [PlotBreakFlag length(norm_r)];
end
end
%go through each of the start and end points and for each go to the point next to it that is in
%the void (between start and break points) and calculate the gradient and then add in a point between
%the void point and the valid point that lies on this gradient AND the unity circle. This procedure is
%therefore only needed it a plot exists and it exceeds the unity boundary (ie the only break flag doesn't
%index the last point in the set of data)
if(PlotNumCounter > 0)
for i = 1:1:PlotNumCounter
if PlotStartFlag(i) ~= 1 %only look at section starts if its not the first point
x = norm_r.*cos(theta); %need to recalculate x and y every time incase norm_r and
y = norm_r.*sin(theta); %theta were changed in the previous loop
%if the gradient between the void and valid points is infinity (ie x1=x2) then the line equation
%simple becomes x=b, where b is the x coordinate of both points. We also know that for our wanted
%point to be on the unity circle we need 1=sqrt(x^2+y^2) => 1=x^2+y^2. Therefore, as x=b, we can
%find y as:
% y = 1-x^2 = 1-b^2
%
%Now, if the void point is in the y>0 quadrants, then the crossing point must occur in the y>0 part
%of the unity circle. Conversely, if the void point has y<0, then the cross point must occur in the
%y<0 semicircle of the unty circle
if x(PlotStartFlag(i))==x(PlotStartFlag(i)-1)
Voidx = x(PlotStartFlag(i));
Voidy = 1-Voidx^2;
if(y(PlotStartFlag(i)-1)<0)
Voidy = -Voidy;
end
%however, if the gradient is defined, then we need to calc the gradient to find the point on the
%unity circle
else
if x(PlotStartFlag(i)-1)<x(PlotStartFlag(i))
gradient = (y(PlotStartFlag(i)) - y(PlotStartFlag(i)-1))/(x(PlotStartFlag(i)) - x(PlotStartFlag(i)-1));
elseif x(PlotStartFlag(i)-1)>x(PlotStartFlag(i))
% x(PlotStartFlag(i))
% y(PlotStartFlag(i))
% keyboard
% r(PlotStartFlag(i))
gradient = (y(PlotStartFlag(i)-1) - y(PlotStartFlag(i)))/(x(PlotStartFlag(i)-1) - x(PlotStartFlag(i)));
end
%C is y intercept of y=mx+c eqation for a straign line
C = y(PlotStartFlag(i)) - gradient*x(PlotStartFlag(i));
m = gradient;
%at the crossing point between line bewteen void and valid and unity circle we know the x,y
%coordinates must satisfy the straight line eqn y=mx+c and 1=sqrt(x^2+y^2) => 1=x^2+y+2.
%Rearranging this yeilds
% 0 = (m^2+1)x^2 + (2mc)x + (c^2-1)
%
%the roots of this can be solved and x found. Note that there will always be one or two
%real roots as this procedure is only being implemented when the line DOES cross the unity
%circle (there will only be one root when the line is a tangent to the unit circle).
Voidx = roots([m^2+1 2*m*C C^2-1]);
Voidy = m*Voidx+C;
%if there are two roots, check which x coordinate is between the void point and valid point
%and then use that as the true coordinate
x_limits = [x(PlotStartFlag(i)-1) x(PlotStartFlag(i))];
y_limits = [y(PlotStartFlag(i)-1) y(PlotStartFlag(i))];
if length(Voidx) == 2
if Voidx(1)>min(x_limits) & Voidx(1)<max(x_limits) & Voidy(1)>min(y_limits) & Voidy(1)<max(y_limits)
Voidx = Voidx(1);
Voidy = Voidy(1);
else
Voidx = Voidx(2);
Voidy = Voidy(2);
end
end
end
%insert new point into array or points
norm_r = [norm_r(1:PlotStartFlag(i)-1); sqrt(Voidx^2+Voidy^2); norm_r(PlotStartFlag(i):length(norm_r))];
%insert new angle into array of angles
if(Voidx == 0)
new_theta = pi/2*sign(Voidy); %this puts the point in the correct quadrant (CA or ST)
else
new_theta = atan(Voidy/Voidx);
%if x is negative then the definition of atan needs to be added to 180 degrees
if(Voidx < 0)
new_theta = pi+new_theta;
end
end
theta = [theta(1:PlotStartFlag(i)-1); new_theta; theta(PlotStartFlag(i):length(theta))];
%increment appropiate indecies in PlotStart and PlotBreak flags to take into accout the new points
%(remembering you want the new points to be within the plotting segement)
if(i < PlotNumCounter) %if not at the last PlotStartFlag
PlotStartFlag(i+1:PlotNumCounter) = PlotStartFlag(i+1:PlotNumCounter) + 1;
end
PlotBreakFlag(i:PlotNumCounter) = PlotBreakFlag(i:PlotNumCounter) + 1;
end
%now do the same thing for the break flags, ie going from valid point to void
%But only consider if the break is NOT the first element, or the break is NOT the last element
if (PlotBreakFlag(i) ~= length(norm_r))
x = norm_r.*cos(theta); %need to recalc x and y incase norm_r and theta were changed in previous
y = norm_r.*sin(theta); %if statement (for PlotStartFlag) or previous loop
%refer to previous IF statement (for PlotStartFlag) for full explanation
if x(PlotBreakFlag(i))==x(PlotBreakFlag(i)+1)
Voidx = x(PlotBreakFlag(i));
Voidy = 1-Voidx^2;
if(y(PlotBreakFlag(i)+1)<0)
Voidy = -Voidy;
end
else
if x(PlotBreakFlag(i)+1)<x(PlotBreakFlag(i))
gradient = (y(PlotBreakFlag(i)) - y(PlotBreakFlag(i)+1))/(x(PlotBreakFlag(i)) - x(PlotBreakFlag(i)+1));
elseif x(PlotBreakFlag(i)+1)>x(PlotBreakFlag(i))
gradient = (y(PlotBreakFlag(i)+1) - y(PlotBreakFlag(i)))/(x(PlotBreakFlag(i)+1) - x(PlotBreakFlag(i)));
end
%C is y intercept of y=mx+c eqation for a straign line
C = y(PlotBreakFlag(i)) - gradient*x(PlotBreakFlag(i));
m = gradient;
Voidx = roots([m^2+1 2*m*C C^2-1]);
Voidy = m*Voidx+C;
%if there are two roots, check which x coordinate is between the void point and valid point
%and then use that as the true coordinate
x_limits = [x(PlotBreakFlag(i)+1) x(PlotBreakFlag(i))];
y_limits = [y(PlotBreakFlag(i)+1) y(PlotBreakFlag(i))];
if length(Voidx) == 2
if Voidx(1)>min(x_limits) & Voidx(1)<max(x_limits) & Voidy(1)>min(y_limits) & Voidy(1)<max(y_limits)
Voidx = Voidx(1);
Voidy = Voidy(1);
else
Voidx = Voidx(2);
Voidy = Voidy(2);
end
end
end
%insert new point into array or points
norm_r = [norm_r(1:PlotBreakFlag(i)); sqrt(Voidx^2+Voidy^2); norm_r(PlotBreakFlag(i)+1:length(norm_r))];
%calculate and insert new angle into array of angles
if(Voidx == 0)
new_theta = pi/2*sign(Voidy);
else
new_theta = atan(Voidy/Voidx);
%if x is negative then the definition of atan needs to be added to 180 degrees
if(Voidx < 0)
new_theta = pi+new_theta;
end
end
theta = [theta(1:PlotBreakFlag(i)); new_theta; theta(PlotBreakFlag(i)+1:length(theta))];
%increment appropiate indecies in PlotBreak and PlotBreak flags to take into accout the new points
%(remembering you want the new points to be within the plotting segement)
if(i < PlotNumCounter) %if not at the last PlotBreakFlag
PlotStartFlag(i+1:PlotNumCounter) = PlotStartFlag(i+1:PlotNumCounter) + 1;
end
PlotBreakFlag(i:PlotNumCounter) = PlotBreakFlag(i:PlotNumCounter) + 1;
end
end
end
PlotProperties{1} = PlotNumCounter;
PlotProperties{2} = PlotStartFlag;
PlotProperties{3} = PlotBreakFlag;
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% %
% PLOT TRACE %
% %
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function PlotTrace(theta, norm_r, PlotProperties, TraceProps)
PlotNumCounter = PlotProperties{1};
PlotStartFlag = PlotProperties{2};
PlotBreakFlag = PlotProperties{3};
x = norm_r.*cos(theta);
y = norm_r.*sin(theta);
handle_visibility = 'on'; %first segment trace is to have a handle that can be access by prompt
%(eg - to use to make the legend)
%if there are any plot sections to plot then go ahead and plot
if(PlotNumCounter > 0)
for i = 1:1:PlotNumCounter %for each plot section redefine x and y between the start and break flags
x = norm_r(PlotStartFlag(i):PlotBreakFlag(i)).*cos(theta(PlotStartFlag(i):PlotBreakFlag(i)));
y = norm_r(PlotStartFlag(i):PlotBreakFlag(i)).*sin(theta(PlotStartFlag(i):PlotBreakFlag(i)));
%plot the thing - FINALLY
plot(x,y,'LineWidth', TraceProps.line_width, 'LineStyle',TraceProps.line_style,'Color',TraceProps.line_color,...
'Marker',TraceProps.line_marker, 'HandleVisibility',handle_visibility);
handle_visibility = 'off'; %once the first trace segment is plotted, want the remaining handles hidden so
end %the legend doesn't display them, but moves straight onto the next trace
end
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% %
% CHECK PLOT LIMITS %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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function CheckPlotLimits
global oc Traces
%Make up maximum magnitudes and minimum magnitudes
if ~isnumeric(oc.max_mag)
if strcmp(lower(oc.max_mag),'max')
TraceMax = '';
for i = 1:2:length(Traces)
TraceMax = [TraceMax max(Traces{i}(:,1))];
end
oc.max_mag = max(TraceMax);
else
DispError('"MaxValue" must be a value or "max"');
return
end
end
if ~isnumeric(oc.centre_value)
if strcmp(lower(oc.centre_value), 'min')
TraceMin = '';
for i = 1:2:length(Traces)
TraceMin = [TraceMin min(Traces{i}(:,1))];
end
oc.centre_value = min(TraceMin);
else
DispError('"CentreValue" must be a value or "min"');
return
end
end
%make sure input is not bogus
if oc.max_mag < oc.centre_value
DispError('Centre value is larger than maximum input value');
return
end
if oc.max_mag == oc.centre_value
DispError('Centre value is same as maximum input value - define CentreValue if all r values are same - see help');
return
end
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% %
% CHECK STANDARD PLOT %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%This function will check a string that is a shortcut plotting string incorperating the marker, style and color.
%It will return seperate color, marker and style strings if they are found in the combined string. If the
%combined string has a syntax error then the function will exit the m file and return an error referring the
%user to the HELP PLOT help command.
function [Color, Marker, Style] = CheckStandardPlot(PlotString)
LineColorFlag = 0;
LineMarkerFlag = 0;
LineStyleFlag = 0;
Color = '';
Marker = '';
Style = '';
%check the standard_plot variable. If it is not emplty, that means the user has selected the PLOT
%functions shortcut arguments to make a plot. Therefore, convert these arguments to the appropriate
%line color and style. Note, that this will overwrite future uses of LineColor and LineStyle in the
%arguments
if length(PlotString) > 4 | isempty(PlotString) %color, marker, style
DispError(['Incorrect plot parameters: ''' PlotString '''. Type HELP PLOT to see correct usage']);
return
end
i = 1;
while i <= length(PlotString)
c = PlotString(i); %temp character variable
%check the color
if (c == 'y' | c == 'm' | c == 'c' | c == 'r' | c == 'g' | c == 'b' | c == 'w' | c == 'k') & LineColorFlag == 0
LineColorFlag = 1;
Color = c;
%check the marker style
elseif (c == '.' | c == 'o' | c == 'x' | c == '+' | c == '*' | c == 's' | c == 'd' | ...
c == 'v' | c == '^' | c == '<' | c == '>' | c == 'p' | c == 'h') & LineMarkerFlag == 0
LineMarkerFlag = 1;
Marker = c;
%check the line style
elseif (c == '-' | c == ':') & LineStyleFlag == 0 %| c == '-.' | c == '--' %THIS NEEDS FIXING
LineStyleFlag = 1;
Style = c;
if(c == '-' & i < length(PlotString) )
if PlotString(i+1) == '.' | PlotString(i+1) == '-'
Style = [Style PlotString(i+1)];
i = i + 1;
end
end
%if neither color nor marker nor style then error
else
DispError(['Incorrect plot parameters: ''' PlotString '''. Type HELP PLOT to see correct usage']);
return
end
i = i+1;
end
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% %
% DISP ERROR %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function DispError(ErrorString)
global ErrorFlag
ErrorFlag = 1;
disp(sprintf('\nPP ERROR: %s\n Type "help pp" for information\n\n', ErrorString));
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% %
% DISP ERROR %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function AssignStyle(ppStyle)
global oc ErrorFlag
switch ppStyle
case 0
return
%%%%%%%%%% DEFAULT STYLE %%%%%%%%%%%
case 1
oc.angle_color = [0 0 0];
oc.ring_color = [0 0 0];
oc.angle_style = ':';
oc.ring_style = ':';
oc.angle_line_width = 0.1;
oc.ring_line_width = 0.1;
oc.ring_units = '';
oc.angle_degree_mark = 'off';
%%%%%%%%% SOLID AXIS in DB Style %%%%%%%%
case 2
oc.angle_color = [0.5 0.5 0.5];
oc.ring_color = [0.5 0.5 0.5];
oc.angle_style = '-';
oc.ring_style = '-';
oc.angle_line_width = 0.1;
oc.ring_line_width = 0.1;
oc.ring_units = 'dB';
oc.angle_degree_mark = 'on';
%%%%%%% UNDEFINED STYLE %%%%%%%
otherwise
ErrorFlag = 1;
DispError('ppStyle number not Valid.');
end
return
%## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ##
%# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #
% #
% Variable Information and Explanation #
% #
%# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #
%## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ##
%-----------------------------------------------------------------------------------------
%
% tc: (trace cell)
% Trace properties structure
%
%-----------------------------------------------------------------------------------------
%
% oc: (options cell)
% Plot/Figure/Axes properties structure
%
%-----------------------------------------------------------------------------------------
%
% args:
% Cell matrix containing possible property strings the user can enter and the actions to
% take when the user enters them
%
% eg: A row in args might be:
%
% 'NumRings' 1 'v' oc.number_of_rings
%
% | | | |
% Property Name FLAG indicating Data type variable to store
% data follows expected data to
% property
%
% NB: if FLAG is 0, then whatever is in the third column gets stored in the 4th column variable
%
%-----------------------------------------------------------------------------------------
%
% UserData:
% 1 x n array of cells: (n = Num Traces + 2)
% {1} - "Bob's Polar Plot" string for plot identification
% {2} - oc (figure properties)
% {3} - i x 2 matrix of trace data (columns of Rho and Theta) (i = length(Theta))
% {4} - tc (trace properties of trace in {3})
% {5} - k x 2 matrix of trace data (columns of Rho` and Theta`) (k = length(Theta`))
% {6} - tc` (trace properties or trace in {5})
% :
% :
%
%-----------------------------------------------------------------------------------------
%
% Traces:
% 1 x n-2 array of cells:
% {1} - same as UserData{3}
% {2} - same as UserData{4}
% {3} - same as UserData{5}
% {4} - same as UserData{6}
% :
% :
%
%-----------------------------------------------------------------------------------------
