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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) INRIA
// Copyright (C) Samuel GOUGEON - 2013 : vectorization, code style
//
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution. The terms
// are also available at
// http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
function graypolarplot(theta,rho,z,varargin)
[lhs,rhs] = argn(0)
if rhs<=0 then
rho = 1:0.2:4
theta = (0:0.02:1)*2*%pi
z = 30+round(theta'*(1+rho.^2))
clf()
f = gcf()
f.color_map = hotcolormap(128)
f.background= 128
a = gca()
a.background = 128
a.foreground = 1
graypolarplot(theta,rho,z)
return
end
if rhs<3 then
error(msprintf(gettext("%s: Wrong number of input argument(s): At least %d expected.\n"), "graypolarplot", 3));
end
R = max(rho)
nv = size(varargin)
if nv>=1
strf = varargin(2)
else
strf = "030"
end
if nv>=2
rect = varargin(4)
else
rect = [-R -R R R]*1.1
end
// drawlater
fig = gcf();
immediate_drawing = fig.immediate_drawing;
fig.immediate_drawing = "off";
axes = gca();
axes.data_bounds = [rect(1), rect(2); rect(3), rect(4)];
axes.clip_state = "clipgrf";
drawGrayplot(theta,rho,z);
objectList = gce(); // get all the created objects to glue them at the end.
axes.isoview = "on";
axes.box = "off";
axes.axes_visible = ["off","off","off"];
axes.x_label.text = "";
axes.y_label.text = "";
axes.z_label.text = "";
step = R/5
r = step;
dr = 0.02*r;
for k = 1:4
xarc(-r, r, 2*r, 2*r, 0, 360*64)
objectList($ + 1) = gce();
arc = gce();
arc.line_style = 3;
xstring((r+dr)*cos(5*%pi/12),(r+dr)*sin(5*%pi/12), string(round(10*r)/10))
objectList($ + 1) = gce();
r=r+step
end
xarc(-r,r,2*r,2*r,0,360*64)
objectList($ + 1) = gce();
xstring((r+dr)*cos(5*%pi/12),(r+dr)*sin(5*%pi/12), string(round(10*r)/10))
objectList($ + 1) = gce();
rect = xstringl(0,0,"360");
w = rect(3);
h = rect(4);
r = R*1.05
for k = 0:11
xsegs([0 ; R*cos(k*(%pi/6))],[0 ; R*sin(k*(%pi/6))])
objectList($ + 1) = gce();
arc = gce();
arc.line_style = 3;
xstring((r+w/2)*cos(k*(%pi/6))-w/2, (r+h/2)*sin(k*(%pi/6))-h/2,string(k*30))
objectList($ + 1) = gce();
end
// glue all the created objects
glue(objectList);
// drawnow
fig.immediate_drawing = immediate_drawing;
endfunction
// ---------------------------------------------------------------------------
function [x,y] = polar2Cart(rho, theta)
x = rho * cos(theta);
y = rho * sin(theta);
endfunction
// ---------------------------------------------------------------------------
function [nbDecomp] = computeNeededDecompos(theta)
// Compute the needed decomposition for each patch
// minimal decompostion for each ring
nbFactesPerRingMin = 512;
nbDecomp = ceil(nbFactesPerRingMin / size(theta, "*"));
endfunction
// ---------------------------------------------------------------------------
function drawGrayplot(theta, rho, z)
// draw only the colored part of the grayplot
// the aim of the function is to draw a set of curved facets
// In previous versions, it used arcs to perform this.
// However, since arcs are drawn from the origin to the outside
// there were overlapping and cause Z fighting in 3D.
// Consequenlty we now decompose each curved facet into a set of rectangular
// facets.
nbRho = size(rho,"*");
nbTheta = size(theta,"*");
nbDecomposition = computeNeededDecompos(theta); // number of approximation facets
// first step decompose theta in smaller intervals
// Actually compute cosTheta and sinTheta for speed [vectorized]
t = (1:nbDecomposition) / nbDecomposition
[I,T] = meshgrid(theta, t)
interpolatedData = T(:,2:$).*I(:,2:$) + (1-T(:,1:$-1)).*I(:,1:$-1)
cosTheta = [cos(theta(1)) cos(interpolatedData(:))' ]
sinTheta = [sin(theta(1)) sin(interpolatedData(:))' ]
// compute the 4xnbFacets matrices for plot 3d
//
// get the 4 corners of a facet
// (we minimize the memory footprint, since big transient and final matrices
// are built)
Jmax = size(sinTheta,2)
[R, C] = meshgrid(rho, cosTheta)
R = R.*C
clear C
corner = R(1:Jmax-1,1:nbRho-1); xCoords = corner(:)'
corner = R(2:Jmax ,1:nbRho-1); xCoords(2,:) = corner(:)'
corner = R(2:Jmax ,2:nbRho); xCoords(3,:) = corner(:)'
corner = R(1:Jmax-1,2:nbRho); xCoords(4,:) = corner(:)'
[R, S] = meshgrid(rho, sinTheta)
R = R.*S
clear S
corner = R(1:Jmax-1,1:nbRho-1); yCoords = corner(:)'
corner = R(2:Jmax ,1:nbRho-1); yCoords(2,:) = corner(:)'
corner = R(2:Jmax ,2:nbRho); yCoords(3,:) = corner(:)'
corner = R(1:Jmax-1,2:nbRho); yCoords(4,:) = corner(:)'
clear R
// color is the same for each nbDecomposition facets
// keep the 4 outside colors of the patch
// to be able to switch between average or matlab color.
i = 1:nbRho
j = (0:Jmax-1)/ nbDecomposition + 1
[I, J] = meshgrid(i,j)
clear I
corner = z(J(1:$-1,1) , 1:$-1); colors = corner(:)'
corner = z(J(1:$-1,1)+1, 1:$-1); colors(2,:) = corner(:)'
corner = z(J(1:$-1,1)+1, 2:$); colors(3,:) = corner(:)'
corner = z(J(1:$-1,1) , 2:$); colors(4,:) = corner(:)'
clear J corner
// flat plot
nbQuadFacets = (nbRho - 1) * (Jmax - 1);
zCoords = zeros(4, nbQuadFacets);
// disable line draing and hidden color
plot3d(xCoords, yCoords, list(zCoords,colors));
gPlot = gce();
gPlot.color_mode = -1; // no wireframe
gPlot.hiddencolor = 0; // no hidden color
gPlot.color_flag = 2; // average color on each facets
// restore 2d view
axes = gca();
axes.view = "2d";
endfunction
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