I've been working on a line of Polynomial Expanders for a while: ex. (x^3+4x)-(5x+6)*(2x+3)=x^3-23x-10x^2-18.
But the one I've spent some time on has one major problem. Speed. Several polynomials take 50-60 seconds to expand out. I can post the full code if necessary. I think the biggest bottleneck is decoding/encoding the polynomials into natural form. Any thoughts?
Code:
But the one I've spent some time on has one major problem. Speed. Several polynomials take 50-60 seconds to expand out. I can post the full code if necessary. I think the biggest bottleneck is decoding/encoding the polynomials into natural form. Any thoughts?
Code:
ClrHome
Lbl IN
Input ("Polynomial: ",Str1
startTmr->T
While T=startTmr
End
T+1->T
ClrHome
0:prgmZFUNCT
0->W
2->K
"*+-->Str7
For(Z,1,3 //goes through operations: *+-
For(Q,1,length(Str1)-1//parses string one char at a time.
If Q<length(Str1 //for safety
Then
If sub(Str1,Q,1)="(
Then
Q->W
Else
If sub(Str1,Q,1)=")
Then
If sub(Str7,Z,1)=sub(Str1,Q+1,1
Then
sub(Str1,W+1,Q-W-1->Str2
2:prgmZFUNCT //translate polynomial
|LD->|LPOLY1//store temp poly storage into Poly1
inString(Str1,"(",Q+1->Y//get next polynomial start
inString(Str1,")",Q+1->X//get next polynomial finish
sub(Str1,Y+1,X-Y-1->Str2
2:prgmZFUNCT//translate 2nd one
sub(Str1,Q+1,1->Str9
If Str9=sub(Str7,Z,1//is the operation the correct one?
Then
"="+Str1->Str5
8:prgmZFUNCT
Disp "--------------------------
K+1->K
|LD->|LPOLY2
If Str9="-"// is the operation subtraction?
Then
length(Str4->theta
For(A,1,dim(|LPOLY2)/theta
~|LPOLY2(1+theta(A-1)->|LPOLY2(1+theta(A-1
End
"+->Str9
End
If Str9="+"//is it addition?
Then
augment(|LPOLY1,|LPOLY2->|LPOLY1
Else
If Str9="*"//multiplication
Then
3:prgmZFUNCT//multiply routine
L6->|LPOLY1
End
End
4:prgmZFUNCT//combine polynomial routine
" ->Str3
0->U
If W!=1
Then
1->U
Str3+sub(Str1,1,W-1->Str3
End
9:prgmZFUNCT//turn list back into polynomial routine
Str3+"("+Str8+")->Str3
If not(U) and X=length(Str1
Then
7:prgmZFUNCT//turn list into nicer polynomial and output
Disp Str8
Disp "Done!
Pause "Sec="+toString(startTmr-T
Stop//yer done
Else
If X!=length(Str1
Then
Str3+sub(Str1,X+1,length(Str1)-X->Str3
End
sub(Str3,2,length(Str3)-1->Str1
End
1->Q
End
End
End
End
End
End
End
