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<Text-field style="Normal256" layout="Normal256"><Font bold="true" style="Text" underline="true" size="24">Maple Benchmarktest</Font>
</Text-field>
<Text-field style="Normal256" layout="Normal256">(Version 5.0)</Text-field>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Initialisation</Text-field></Title>
<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;
with(LinearAlgebra):
with(DiscreteTransforms):
with(combinat, fibonacci):
with(Statistics):
Seed=randomize():</Text-field>
</Input>
</Group>
<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="currentdir(&quot;D:\134\134Mathematik\134\134Ncrunch5&quot;):" display="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">QyQtSStjdXJyZW50ZGlyRzYiNiNROUQ6XFxNYXRoZW1hdGlrXFxOY3J1bmNoNUYlISIi</Equation></Text-field>
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<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Misc. operations</Text-field></Title>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">IO Test &amp; descriptive statistics</Text-field></Title>
<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">LimitsArea:={1,261,522,784,1045,1305,1565,1827,2088,2349,2610,2871,3131,3158}:
t:=time():
datmat:=convert(readdata(&quot;Currency2.txt&quot;,[integer$4,float$38]),Matrix):
for k from 1 by 1 to 2000 do
  for j from 1 by 1 to 13 do
    YearData:=datmat[LimitsArea[j]..LimitsArea[j+1]-1,5..38]:
    amountrows:=LimitsArea[j+1]-LimitsArea[j]:
    for i from 1 by 1 to 34 do
      YD:=YearData[1..amountrows,i]:
      MinYear,MaxYear,MeanYear:=rtable_scanblock(YD,[rtable_dims(YD)],'Minimum','Maximum','Average');
      GainLossYear:=100-(YearData[1,i]+0.00000001)/(YearData[amountrows,i]+0.00000001)*100:
    end do:
  end do:
end do:
time()-t;</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Loop 15000x15000</Text-field></Title>
<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">a:=1:
t:=time():
for x from 1 by 1 to 15000 do
  for y from 1 by 1 to 15000 do
    a:=a+x+y:
  end do:
end do:
time()-t;</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">2000x2000 normal distributed random matrix^1000</Text-field></Title>
<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">TotalTime:=0:
for i from 1 by 1 to 200 do
  a:=RandomMatrix(2000,outputoptions=[datatype=float[8]],generator=1.0..1.01):
  t:=time():
  (Array(a)^1000):
  TotalTime:=TotalTime+time()-t: 
end do:
print(TotalTime);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">1000000 values sorted ascending</Text-field></Title>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">TotalTime:=0:
for i from 1 by 1 to 100 do
  L := [seq(rand(0..1),i=1..1000000)]:
  t:=time():
  sort(L):
  TotalTime:=TotalTime+time()-t:
end do:
print(TotalTime);</Text-field>
</Input>
</Group>
</Section>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Analysis</Text-field></Title>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">FFT over 1048576 values</Text-field></Title>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">m:=20:
TotalTime:=0:
for i from 1 by 1 to 100 do
  x:=RandomVector[row](2^m,generator=0.0..1.0,outputoptions=[datatype=float[8]]):
  t:=time():
  FourierTransform(x):
  TotalTime:=TotalTime+time()-t:
end do:
print(TotalTime);</Text-field>
</Input>
</Group>
</Section>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Algebra</Text-field></Title>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Determinant of a 1500x1500 random matrix</Text-field></Title>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">TotalTime:=0:
for i from 1 by 1 to 100 do
  a:=RandomMatrix(1500,outputoptions=[datatype=float[8]],generator=0.0..1.0):
  t:=time():
  Determinant(a):
  TotalTime:=TotalTime+time()-t:
end do:
print(TotalTime);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Inverse of a 1500x1500 uniform distr. random matrix</Text-field></Title>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">TotalTime:=0:
for i from 1 by 1 to 100 do
  a:=RandomMatrix(1500,outputoptions=[datatype=float[8]],generator=0.0..1.0):
  t:=time():
  MatrixInverse(a):
  TotalTime:=TotalTime+time()-t:
end do:
print(TotalTime);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Eigenvalues of a normal distr. 1200x1200 randommatrix</Text-field></Title>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">a:=RandomMatrix(1200,outputoptions=[datatype=float[8]],generator=0.0..1.0):</Text-field>
</Input>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">time(Eigenvalues(a));</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Cholesky decomposition of a 1500x1500-matrix</Text-field></Title>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">TotalTime:=0:
for i from 1 by 1 to 100 do
  S:=RandomMatrix(1500,outputoptions=[datatype=float[8]],generator=0.0..1.0):
  A := Transpose(S).S:
  t:=time():
  LUDecomposition(A,method='Cholesky'):
  TotalTime:=TotalTime+time()-t:
end do:
print(TotalTime);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">1500x1500 cross-product matrix</Text-field></Title>
<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">TotalTime:=0:
for i from 1 by 1 to 100 do
  S:=RandomMatrix(1500,outputoptions=[datatype=float[8]],generator=0.0..1.0):
  t:=time():
  Transpose(S).S:
  TotalTime:=TotalTime+time()-t:
end do:
print(TotalTime);</Text-field>
</Input>
</Group>
</Section>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Number theory</Text-field></Title>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Calculation of 10000000 fibonacci numbers</Text-field></Title>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">frnd:=rand(100..1000):
A := [seq(frnd(),i=1..10000000)]:</Text-field>
</Input>
</Group>
<Group labelreference="L16" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">time(evalf(Map(a-&gt;fibonacci(a), A)));</Text-field>
</Input>
</Group>
</Section>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Stochastic-statistic</Text-field></Title>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Principal component analysis over a 10000x1000 matrix</Text-field></Title>
<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="Maple Input" input-equation="" 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executable="true" style="Maple Input" input-equation="" 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executable="true" style="Maple Input" input-equation="" 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executable="true" style="Maple Input" input-equation="" display="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">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</Equation><Equation executable="true" style="Maple Input" input-equation="" 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executable="true" style="Maple Input" input-equation="" display="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">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</Equation><Equation executable="true" style="Maple Input" input-equation="" 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</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Gamma function over a 1500x1500 matrix</Text-field></Title>
<Group labelreference="L18" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">TotalTime:=0:
for i from 1 by 1 to 100 do
  a:=RandomMatrix(1500,generator=0.01..1.0,outputoptions=[datatype=float[8]]):
  t:=time():
  Map(GAMMA,a):
  TotalTime:=TotalTime+time()-t:
end do:
print(TotalTime);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Gaussian error function over a 1500x1500 matrix</Text-field></Title>
<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">TotalTime:=0:
for i from 1 by 1 to 100 do
  a:=RandomMatrix(1500,density=0.5,generator=0.0..1.0,outputoptions=[datatype=float[8]]):
  t:=time():
  Map(erf,a):
  TotalTime:=TotalTime+time()-t:
end do:
print(TotalTime);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Linear regression over a 1000x1000 matrix</Text-field></Title>
<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">TotalTime:=0:
for i from 1 by 1 to 100 do
  A:=RandomMatrix(1000,density=0.5,generator=0.0..1.0,outputoptions=[datatype=float[8]]):
  B:=RandomVector(1000,density=0.5,generator=0.0..1.0,outputoptions=[datatype=float[8]]):
  t:=time():
  LeastSquares(A,B):
  TotalTime:=TotalTime+time()-t:
end do:
print(TotalTime);</Text-field>
</Input>
</Group>
<Group labelreference="L23" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRicvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
</Section>
</Worksheet>