File: Sfgrayplot.sci

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function []=Sfgrayplot(x, y, f, strf, rect, nax, zminmax, colminmax, mesh, colout)

	// PURPOSE
	//    Like fgrayplot but the function fec is used to smooth the 
	//    result assuming that the underlying function is linear on 
	//    a set of triangles built from the grid (here with n1=5, n2=3):
	//             _____________
	//             | /| /| /| /|
	//             |/_|/_|/_|/_| 
	//             | /| /| /| /| 
	//             |/_|/_|/_|/_|
	//
	// Copyright INRIA
	// rewritten by Bruno Pincon (17 april 05) (based of my modifs of Sgrayplot)

	[lhs,rhs]=argn()
	if rhs == 0 then   // demo
		deff("[z]=Surf(x,y)","z=x.^3+y");
		f=gcf();
		f.color_map = jetcolormap(64);
		f.immediate_drawing = "off";
		colorbar(-2,2);
		Sfgrayplot(-1:0.1:1,-1:0.1:1,Surf,strf="031",rect=[-1,-1,1,1]);
		xtitle("Sfgrayplot demo: f(x,y)=x^3+y");
		f.immediate_drawing = "on";
		return
        elseif rhs < 3 then
		error(msprintf(gettext("%s: Wrong number of input arguments: %d to %d expected.\n"), "Sfgrayplot", 3, 10));
	end
  
	// some checks
	if ~(type(x)==1 & isreal(x)) then
	  error(msprintf(gettext("%s: Input argument #%d must be real.\n"), "Sfgrayplot", 1))
	end
	if ~(type(y)==1 & isreal(y)) then
	  error(msprintf(gettext("%s: Input argument #%d must be real.\n"), "Sfgrayplot", 2))
	end
	if type(f)~=11 & type(f)~=13 then 
	  error(msprintf(gettext("%s: Wrong type for input argument #%d: function expected.\n"), "Sfgrayplot", 3));
	end
	
	p = length(x); q = length(y);
	
	// parsing the optional args
	opt_arg_list = ["strf", "rect","nax","zminmax", "colminmax", "mesh", "colout"];
	opt_arg_seq = [];
	for opt_arg = opt_arg_list
		if exists(opt_arg,"local") then
			opt_arg_seq = opt_arg_seq +","+ opt_arg + "=" + opt_arg;
		end
	end
	
	// build the datas for fec
	z = feval(x,y,f);
	[noe_x,noe_y] = ndgrid(x,y)
	nbtri = 2*(p-1)*(q-1)
	num = (1:p*(q-1))'; num(p*(1:q-1)) = []; num1 = num+1
	connect =[(1:nbtri)' , [num   num1   num+p;...
		num1  num1+p num+p]  ,  zeros(nbtri,1)]
	
	// then plot
	if opt_arg_seq == [] then
		fec(noe_x,noe_y,connect,z);
	else
		execstr("fec(noe_x,noe_y,connect,z"+opt_arg_seq+")");
	end
endfunction