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Size: 1417
Comment:
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Size: 1457
Comment:
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| Deletions are marked like this. | Additions are marked like this. |
| Line 36: | Line 36: |
| || || ezgcd || modular || || p - 20 || 0.30 || - || || q - 40 || 8.40 || - || || r - 60 ||92.03 || - || |
|| || ezgcd || modular || maxima || || p - 20 || 0.30 || - || || || q - 40 || 8.40 || - || || || r - 60 ||92.03 || - || || |
| Line 48: | Line 48: |
| || s - 30 || 40.06 || - || || | || s - 30 || 40.06 || - || 80.86 || |
These are the polynomials found on this page: http://magma.maths.usyd.edu.au/users/allan/gcdcomp.html
For the Maxima timings, I did the following:
sage: mp1 = maxima(p1) sage: mp2 = maxima(p2) sage: time a = mp1.gcd(mp2)
1 variable over QQ
File: fermat_gcd_1var.py
|
ezgcd |
modular |
maxima |
p - 100 |
0.02 |
0.03 |
0.20 |
q - 1000 |
12.10 |
9.84 |
7.66 |
r - 10000 |
95.03 |
62.80 |
30.27 |
(Univariate)
p - 100 |
3.07 |
q - 1000 |
- |
r - 2000 |
- |
2 variables over QQ
File: fermat_gcd_2var.py
|
ezgcd |
modular |
maxima |
p - 20 |
0.05 |
0.33 |
0.11 |
q - 40 |
0.33 |
9.47 |
0.66 |
r - 100 |
8.71 |
- |
14.40 |
s - 160 |
89.57 |
- |
|
3 variables over QQ
File: fermat_gcd_3var.py
|
ezgcd |
modular |
maxima |
p - 20 |
0.30 |
- |
|
q - 40 |
8.40 |
- |
|
r - 60 |
92.03 |
- |
|
4 variables over QQ
File: fermat_gcd_4var.py
|
ezgcd |
modular |
maxima |
p - 10 |
0.13 |
- |
1.04 |
q - 16 |
0.93 |
- |
8.08 |
r - 20 |
2.82 |
- |
33.96 |
s - 30 |
40.06 |
- |
80.86 |