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I wrote these years ago. I think it's useful to have them in the repo, plus we can now build further benchmarks atop of this.
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# Two hacks | ||
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#InstallMethod( \[\], [ IsMatrix, IsList ], {m,l} -> m[l[1]][l[2]] ); | ||
InstallOtherMethod( \[\], [ IsMatrix, IsPosInt, IsPosInt ], {m,i,j} -> m[i][j] ); | ||
InstallOtherMethod( MatElm, [IsMatrix,IsPosInt,IsPosInt], {m,i,j} -> m[i][j] ); | ||
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m:=List([1..10],i->List([1..10],j-> (i-1)*10 + j)); | ||
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gap> m:=IdentityMat(10);; | ||
gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=m[i][j]; od; od; od; time; | ||
62 | ||
gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=m[i,j]; od; od; od; time; | ||
596 | ||
gap> for i in [1..10] do for j in [1..10] do Assert(0, m[i,j] = m[i][j]); od; od; | ||
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gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=MatElm(m,i,j); od; od; od; time; | ||
525 | ||
gap> f:=ApplicableMethod(MatElm, [m,i,j]);; | ||
gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=f(m,i,j); od; od; od; time; | ||
54 | ||
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gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=MATELM_PLIST(m,i,j); od; od; od; time; | ||
54 | ||
gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=MATELM_LIST(m,i,j); od; od; od; time; | ||
63 | ||
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gap> m:=IdentityMat(10,GF(2));; | ||
gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=m[i][j]; od; od; od; time; | ||
68 | ||
gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=m[i,j]; od; od; od; time; | ||
468 | ||
gap> for i in [1..10] do for j in [1..10] do Assert(0, m[i,j] = m[i][j]); od; od; | ||
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gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=MatElm(m,i,j); od; od; od; time; | ||
379 | ||
gap> f:=ApplicableMethod(MatElm, [m,i,j]);; | ||
gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=f(m,i,j); od; od; od; time; | ||
135 | ||
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gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=MATELM_LIST(m,i,j); od; od; od; time; | ||
81 | ||
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gap> m:=IdentityMat(10,GF(2));; ConvertToMatrixRep(m);; | ||
gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=m[i][j]; od; od; od; time; | ||
152 # note: SLOWER | ||
gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=m[i,j]; od; od; od; time; | ||
354 | ||
gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=MatElm(m,i,j); od; od; od; time; | ||
227 | ||
gap> f:=ApplicableMethod(MatElm, [m,i,j]);; | ||
gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=f(m,i,j); od; od; od; time; | ||
224 | ||
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gap> for i in [1..10] do for j in [1..10] do Assert(0, m[i,j] = m[i][j]); od; od; | ||
gap> for i in [1..10] do for j in [1..10] do Assert(0, MAT_ELM_GF2MAT(m,i,j) = m[i][j]); od; od; | ||
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InstallOtherMethod( \[\], [ IsGF2MatrixRep, IsPosInt, IsPosInt ], MAT_ELM_GF2MAT ); | ||
InstallMethod( MatElm, [ IsGF2MatrixRep, IsPosInt, IsPosInt ], MAT_ELM_GF2MAT ); | ||
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gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=MAT_ELM_GF2MAT(m,i,j); od; od; od; time; | ||
60 | ||
gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=MatElm(m,i,j); od; od; od; time; | ||
65 | ||
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gap> for u in [1..10000] do for i in [1..10] do for j in [1..10] do x:=MATELM_LIST(m,i,j); od; od; od; time; |
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ReadGapRoot("benchmark/matobj/bench.g"); | ||
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PrintBoxed := function(str) | ||
local n, line; | ||
n := Length(str) + 2; | ||
line := Concatenation("+", ListWithIdenticalEntries(n,'-'), "+\n"); | ||
Print(line); | ||
Print("| ", str, " |\n"); | ||
Print(line); | ||
end; | ||
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PrintHeadline := function(what); | ||
Print(TextAttr.5, "Testing ", what, ":\n",TextAttr.reset); | ||
end; | ||
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MyBench := function(func) | ||
local opt, res; | ||
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opt := rec( | ||
mintime:=300, | ||
showSummary := false | ||
); | ||
res := Benchmark(func, opt); | ||
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Print(" ", Round(res.counter * 1000.0 / res.total ), " iterations per second\n"); | ||
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# Print(" Performed ", res.counter, " iterations, taking ", Round(res.total), " milliseconds; "); | ||
# #Print("timings: ", timings, "\n"); | ||
# # Print("average: ", Round(100*res.avg)/100, | ||
# # " +/- ", Round(100*res.std)/100, | ||
# # " (+/- ", Round(100*res.std/res.avg), "%)", | ||
# # "\n"); | ||
# Print(" median: ", res.median, "\n"); | ||
end; | ||
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TestReadingMatrix := function(m) | ||
local f; | ||
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PrintHeadline("m[i][j]"); | ||
MyBench(function() | ||
local u, i, j, rows, cols, x; | ||
rows := [1..Length(m)]; | ||
cols := [1..Length(m[1])]; | ||
for u in [1..QuoInt(100000,Length(m)*Length(m[1]))] do | ||
for i in rows do | ||
for j in cols do | ||
x:=m[i][j]; | ||
od; | ||
od; | ||
od; | ||
end); | ||
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PrintHeadline("m[i,j]"); | ||
MyBench(function() | ||
local u, i, j, rows, cols, x; | ||
rows := [1..Length(m)]; | ||
cols := [1..Length(m[1])]; | ||
for u in [1..QuoInt(100000,Length(m)*Length(m[1]))] do | ||
for i in rows do | ||
for j in cols do | ||
x:=m[i,j]; | ||
od; | ||
od; | ||
od; | ||
end); | ||
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PrintHeadline("MatElm(m,i,j)"); | ||
MyBench(function() | ||
local u, i, j, rows, cols, x; | ||
rows := [1..Length(m)]; | ||
cols := [1..Length(m[1])]; | ||
for u in [1..QuoInt(100000,Length(m)*Length(m[1]))] do | ||
for i in rows do | ||
for j in cols do | ||
x:=MatElm(m,i,j); | ||
od; | ||
od; | ||
od; | ||
end); | ||
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PrintHeadline("MatElm(m,i,j) with prefetched method"); | ||
f:=ApplicableMethod(MatElm, [m,1,1]);; | ||
MyBench(function() | ||
local u, i, j, rows, cols, x; | ||
rows := [1..Length(m)]; | ||
cols := [1..Length(m[1])]; | ||
for u in [1..QuoInt(100000,Length(m)*Length(m[1]))] do | ||
for i in rows do | ||
for j in cols do | ||
x:=f(m,i,j); | ||
od; | ||
od; | ||
od; | ||
end); | ||
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end; | ||
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TestWritingMatrix := function(m) | ||
local f; | ||
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PrintHeadline("m[i][j]:=elm"); | ||
MyBench(function() | ||
local u, i, j, rows, cols, x; | ||
x:=m[1][1]; | ||
rows := [1..Length(m)]; | ||
cols := [1..Length(m[1])]; | ||
for u in [1..QuoInt(100000,Length(m)*Length(m[1]))] do | ||
for i in rows do | ||
for j in cols do | ||
m[i][j]:=x; | ||
od; | ||
od; | ||
od; | ||
end); | ||
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PrintHeadline("m[i,j]:=elm"); | ||
MyBench(function() | ||
local u, i, j, rows, cols, x; | ||
x:=m[1][1]; | ||
rows := [1..Length(m)]; | ||
cols := [1..Length(m[1])]; | ||
for u in [1..QuoInt(100000,Length(m)*Length(m[1]))] do | ||
for i in rows do | ||
for j in cols do | ||
m[i,j]:=x; | ||
od; | ||
od; | ||
od; | ||
end); | ||
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PrintHeadline("SetMatElm(m,i,j,elm)"); | ||
MyBench(function() | ||
local u, i, j, rows, cols, x; | ||
x:=m[1][1]; | ||
rows := [1..Length(m)]; | ||
cols := [1..Length(m[1])]; | ||
for u in [1..QuoInt(100000,Length(m)*Length(m[1]))] do | ||
for i in rows do | ||
for j in cols do | ||
SetMatElm(m,i,j,x); | ||
od; | ||
od; | ||
od; | ||
end); | ||
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PrintHeadline("SetMatElm(m,i,j,elm) with prefetched method"); | ||
f:=ApplicableMethod(SetMatElm, [m,1,1,m[1][1]]);; | ||
MyBench(function() | ||
local u, i, j, rows, cols, x; | ||
x:=m[1][1]; | ||
rows := [1..Length(m)]; | ||
cols := [1..Length(m[1])]; | ||
for u in [1..QuoInt(100000,Length(m)*Length(m[1]))] do | ||
for i in rows do | ||
for j in cols do | ||
f(m,i,j,x); | ||
od; | ||
od; | ||
od; | ||
end); | ||
end; | ||
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RunMatTest := function(desc, m) | ||
Print("\n"); | ||
PrintBoxed(Concatenation("Testing ", desc)); | ||
TestReadingMatrix(m); | ||
Print(TextAttr.2, "...now testing write access...\n", TextAttr.reset); | ||
TestWritingMatrix(m); | ||
end; | ||
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m:=IdentityMat(10);; | ||
RunMatTest("integer matrix", m); | ||
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m:=IdentityMat(10,GF(2));; | ||
RunMatTest("GF(2) rowlist", m); | ||
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m:=IdentityMat(10,GF(2));; ConvertToMatrixRep(m);; | ||
RunMatTest("GF(2) compressed matrix", m); | ||
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m:=IdentityMat(10,GF(7));; | ||
RunMatTest("GF(7) rowlist", m); | ||
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m:=IdentityMat(10,GF(7));; ConvertToMatrixRep(m);; | ||
RunMatTest("GF(7) compressed matrix", m); |
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