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SLPexpressions :: SLPexpressions

SLPexpressions -- Straight Line Programs and expressions for evaluation circuits

Description

i1 : X = inputGate x

o1 = x

o1 : InputGate
i2 : f = X + 1

o2 = (x + 1)

o2 : SumGate
i3 : n = 12;
i4 : for i from 1 to n do f = f*f -- f = (x+1)^(2^n)
i5 : time A = value(f,valueHashTable({X},{1}))  
     -- used 0.00009396 seconds

o5 = 104438888141315250669175271071662438257996424904738378038423348328395390
     797155745684882681193499755834089010671443926283798757343818579360726323
     608785136527794595697654370999834036159013438371831442807001185594622637
     631883939771274567233468434458661749680790870580370407128404874011860911
     446797778359802900668693897688178778594690563019026094059957945343282346
     930302669644305902501597239986771421554169383555988529148631823791443449
     673408781187263949647510018904134900841706167509366833385055103297208826
     955076998361636941193301521379682583718809183365675122131849284636812555
     022599830041234478486259567449219461702380650591324561082573183538008760
     862210283427019769820231316901767800667519548507992163641937028537512478
     401490715913545998279051339961155179427110683113409058427288427979155484
     978295432353451706522326906139490598769300212296339568778287894844061600
     741294567491982305057164237715481632138063104590291613692670834285644073
     044789997190178146576347322385026725305989979599609079946920177462481771
     844986745565925017832907047311943316555080756822184657174637329688491281
     952031745700244092661691087414838507841192980452298185733897764810312608
     590300130241346718972667321649151113160292078173803343609024380470834040
     3154190336
i6 : ZZ[y];
i7 : time B = sub((y+1)^(2^n),{y=>1})    
     -- used 6.20473 seconds

o7 = 104438888141315250669175271071662438257996424904738378038423348328395390
     797155745684882681193499755834089010671443926283798757343818579360726323
     608785136527794595697654370999834036159013438371831442807001185594622637
     631883939771274567233468434458661749680790870580370407128404874011860911
     446797778359802900668693897688178778594690563019026094059957945343282346
     930302669644305902501597239986771421554169383555988529148631823791443449
     673408781187263949647510018904134900841706167509366833385055103297208826
     955076998361636941193301521379682583718809183365675122131849284636812555
     022599830041234478486259567449219461702380650591324561082573183538008760
     862210283427019769820231316901767800667519548507992163641937028537512478
     401490715913545998279051339961155179427110683113409058427288427979155484
     978295432353451706522326906139490598769300212296339568778287894844061600
     741294567491982305057164237715481632138063104590291613692670834285644073
     044789997190178146576347322385026725305989979599609079946920177462481771
     844986745565925017832907047311943316555080756822184657174637329688491281
     952031745700244092661691087414838507841192980452298185733897764810312608
     590300130241346718972667321649151113160292078173803343609024380470834040
     3154190336
i8 : A == B

o8 = true

See also

Author

Version

This documentation describes version 1.9 of SLPexpressions.

Source code

The source code from which this documentation is derived is in the file SLPexpressions.m2.

Exports

  • Types
    • Gate -- an expression that is a part of an evaluation circuit (abstract type)
    • InputGate, see Gate -- an expression that is a part of an evaluation circuit (abstract type)
    • ProductGate, see Gate -- an expression that is a part of an evaluation circuit (abstract type)
    • SumGate, see Gate -- an expression that is a part of an evaluation circuit (abstract type)
    • GateMatrix -- a matrix of Gates
  • Functions and commands
  • Methods
  • Other things
    • minusOneGate (missing documentation)
    • oneGate (missing documentation)
    • zeroGate (missing documentation)