OptFEM2DP1 Toolbox  V1.2
Matlab/Octave Optimized P1-Lagrange Finite Element Method in 2D
bench/benchStiffElas2DP1.m
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00001 function bench=benchStiffElas2DP1(varargin)
00002 % function benchStiffElas2DP1()
00003 %   Benchmark function for StiffElasAssembling2DP1 functions.
00004 %
00005 % Parameters:
00006 %   Num 
00007 %    - 0 global alternate numbering with local alternate numbering (classical method), 
00008 %    - 1 global block numbering with local alternate numbering,
00009 %    - 2 global alternate numbering with local block numbering,
00010 %    - 3 global block numbering with local block numbering.
00011 %
00012 % See also:
00013 %   #StiffElasAssembling2DP1base, #StiffElasAssembling2DP1OptV0, #StiffElasAssembling2DP1OptV1, #StiffElasAssembling2DP1OptV2
00014 % Copyright:
00015 %   See \ref license
00016 
00017   p = inputParser; 
00018   
00019   if isOctave()
00020     p=p.addParamValue('LN', [20:20:100] , @isnumeric );
00021     p=p.addParamValue('Num', 0 , @isnumeric );
00022     p=p.parse(varargin{:});
00023   else % Matlab
00024     p.addParamValue('LN', [20:20:100], @isnumeric );
00025     p.addParamValue('Num', 0, @isnumeric );
00026     p.parse(varargin{:});
00027   end
00028   Num=p.Results.Num;
00029 
00030   switch Num
00031     case 0
00032       s=sprintf('Global alternate numbering / local alternate numbering');
00033     case 1
00034       s=sprintf('Global block numbering / local alternate numbering');
00035     case 2
00036       s=sprintf('Global alternate numbering / local block numbering');
00037     case 3
00038       s=sprintf('Global block numbering / local block numbering');
00039     otherwise
00040       error('invalid Num value')
00041   end
00042   
00043   k=1;
00044   for N=p.Results.LN   
00045     Th=SquareMesh(N);
00046     fprintf('---------------------------------------------------------\n')
00047     fprintf('BENCH (Stiff Elas. Matrix Assembling) %d\n',k)
00048     fprintf(' Numbering Choice : %s\n',s);
00049     fprintf(' Vertices number : %d - Triangles number : %d\n',Th.nq,Th.nme)
00050     Lnq(k)=Th.nq;
00051     tic();
00052     Mb=StiffElasAssembling2DP1base(Th.nq,Th.nme,Th.q,Th.me,Th.areas,1,1,Num);
00053     T(k,1)=toc();
00054     fprintf(' Matrix size     : %d\n',length(Mb))
00055     fprintf('    CPU times base (ref) : %3.4f (s)\n',T(k,1))
00056     Ldof(k)=length(Mb);
00057     tic();
00058     M=StiffElasAssembling2DP1OptV0(Th.nq,Th.nme,Th.q,Th.me,Th.areas,1,1,Num);
00059     T(k,2)=toc();
00060     fprintf('    CPU times OptV0      : %3.4f (s) - Error = %e - Speed Up X%3.3f\n',T(k,2),norm(Mb-M,Inf),T(k,1)/T(k,2))
00061     tic();
00062     M=StiffElasAssembling2DP1OptV1(Th.nq,Th.nme,Th.q,Th.me,Th.areas,1,1,Num);
00063     T(k,3)=toc();
00064     fprintf('    CPU times OptV1      : %3.4f (s) - Error = %e - Speed Up X%3.3f\n',T(k,3),norm(Mb-M,Inf),T(k,1)/T(k,3))
00065     tic();
00066     M=StiffElasAssembling2DP1OptV2(Th.nq,Th.nme,Th.q,Th.me,Th.areas,1,1,Num);
00067     T(k,4)=toc();
00068     fprintf('    CPU times OptV2      : %3.4f (s) - Error = %e - Speed Up X%3.3f\n',T(k,4),norm(Mb-M,Inf),T(k,1)/T(k,4))
00069     k=k+1;
00070   end
00071   
00072   bench.T=T;
00073   bench.Lnq=Lnq;
00074   bench.Ldof=Ldof;
00075   bench.LN=p.Results.LN;
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