basics.example

ECC的C++源码

poly_prime = 
    8000        0        0      401 
 g_0
     8da 4bbca9b3 37df45ae 9dd58ba8 
g_1
    5b85 d9a7e747 7e0c9615 7fb27dc6 
g_2
    535f 921b4ef4 49d3d3bb e267f66e 
g[0]
     8da 4bbca9b3 37df45ae 9dd58ba8 
g[0]^2
    535f 921b4ef4 49d3d3bb e267f66e 
g[0]^3
     8da 4bbca9b3 37df45ae 9dd58ba9 
 one = g[0] + g[0]^3
       0        0        0        1 
for point
x:        0        0        0        8 
y:        0   800062 10002014  1000001 
rhs + lhs =
       0        0        0        0 
 base point P
x:        0        0        0        8 
y:        0   800062 10002014  1000001 
 2P 
x:     1200        0        0       d0 
y:       40  4024311 39490030 5204820b 
 3P 
x:     2c77 e0314ac7 7e0314ac 77e03021 
y:       ec 863433a2 e87ff7dc ec04f518 
 4P 
x:     73f1 11afbd7a 40e3ea78 19746ddb 
y:      c1f 649db31c cdb7be51 5f9bc56c 
 5P 
x:     39cf b5b1944c 8a4e0fb1 fd18b82c 
y:     63ed e91650e2 d14ca0d7 1dcfe0c3 
 6P 
x:     2ca8 137f67c9 eaa6ea2a 72fe9673 
y:     4aaa 93451925  efdc14e cf538370 
 7P 
x:     176e 9c0cac94 3d4a2476 609187bb 
y:     6b53 29407916 3185ef93 f3cee6cd 
 8P 
x:     15fc 6c33686f ed633c99 473c6819 
y:     7278 bc9d860c c324c375 798d1591 
 9P 
x:     5230 dac2abb6  6482dcd 6a0244c7 
y:     4c94 7fda2b67 54341425 57be0b1f 
10P 
x:      750 52e25a76 4d1c578a 87b8e8aa 
y:     1742 220fd1de c926399f cf51ebba 
11P 
x:     5d3d 8581d4ef c5f67af0 f2ac07ef 
y:     169a 49cc72a4 46844459 62dced51 
12P 
x:      3de 971b88e8 d1e799d3  f1acab8 
y:     1568  f50871a 31a96e0c 5a94f224 
13P 
x:     62e8 e5247db5 a0a403ce 4de7b391 
y:     30d8 ed3aa4f6 76e31ab7 cf7e464c 
14P 
x:     14f0 12f6895f cdad0d06 9e2d8e3b 
y:      926 ce4b1d0b 95dad340 f47cebef 
15P 
x:     79ee d4e7a095 45f9c23a 6d1baa79 
y:      51e 2457321c 96f57f1a 1db47564 
16P 
x:     16a6 a2196db1 2b418a67 1c53ef29 
y:      82b 87cdaa12 82969f79 d241e286 
17P 
x:     11da a5c71d14  529c502 a8d63108 
y:     491a 6d359c16 7215bd2f abfef740 
18P 
x:     56f5 7307ac9d 12abf657 8344ef2d 
y:     7ea1 34a96c24 3ce9f709 2fe61d05 
19P 
x:     20d5 20bf6bcc 6124621b 5cf1c9a6 
y:     27d0  d31c816 6ecdb7ba b42c0c49 
20P 
x:     3e45 a1788b45 697d1ecc 165a034c 
y:      ef6 555e0c26 d34e17c4 3090403e 
21P 
x:     2cdf d99d55b4 dfa8dd74 4193d482 
y:     4ad0 7fc5e292 76dc2103 a9d95258 
22P 
x:     7b02 11789ef9 46e7a0fa 3e48c768 
y:     7677 a43c3b01 cc2fe05a f9cdc3dd 
23P 
x:     4fae 306bd438 8454c087 d4c8aab3 
y:     15b3 b1c23d9e 874541aa  4958940 
24P 
x:     50a8 aa4a614e 6fb86ce1 2ddc9e79 
y:     41ed 611fd1a4 d9d25969  ef5cb59 
25P 
x:     243d d7f2378b bd82ebbd 9752463b 
y:     2be2 5125ef16 fa8dbb54 54e5ca91 
26P 
x:     7dba 645db794 21ad4d53  1522c83 
y:     11ba 1fdadde0 fe7be1d6 50146cab 
27P 
x:     2f44 ba3b002b eea0ff21  77fa13c 
y:     106c c25d39ed c902d5f8 3e169bee 
28P 
x:     266e 2e0e62a3 169f52bc f5c077c7 
y:     3207 9103fc71 9d54098d 7c5d15bc 
29P 
x:     2d00 ec6a0186  4d8c734 6dbd6eec 
y:     2dc9 95bf0df2 52b00010 7ce29e88 
30P 
x:     1d60 aaf1c82f dc732e96 599bc0a7 
y:     48fc 3f550dee d4202cb1 d1f9c1c0 
31P 
x:     62d9 8679974f d8f001fa 88f7ddbc 
y:     5255 e8ad8d28 3620fd97 51a6a267 
32P 
x:     673a fa3c8386 39fa179f f7519217 
y:      d9d 12313019 23de69c1 bc73563f 
33P 
x:     2d67 262339ee  466f9b5 ea3e5745 
y:     7d80 97217991 486f463d 34edc4d0 
34P 
x:     54bc  90ba0fe 492860a6 48a464cd 
y:     7c92 741c3bef e6b06b51 fc15a8d5 
35P 
x:     7f19 641095ac 3a3cf6a6 66fb45dc 
y:     1955 648b4288 a594e0ed 4f2b81be 
36P 
x:     47bd bcd23c23 2c9feaa9 f519ccb7 
y:      ebd 651c6011 c577d4bd 69eb6d27 
37P 
x:     7dca c60a5afe 8453999f df7ac77a 
y:     1991 dff99193 580ac1a4 b057b2e3 
38P 
x:     180b c5c1f231 392863d9 a2bb667c 
y:     23ce 4865cdb9 d45a8616 7561d72e 
39P 
x:     53cd f6769171 70005529 50ed7946 
y:     1ead 9ee9e52f 5b98053e  bde54e1 
1*P
x:        0        0        0        8 
y:        0   800062 10002014  1000001 
2*P
x:     1200        0        0       d0 
y:       40  4024311 39490030 5204820b 
3*P
x:     2c77 e0314ac7 7e0314ac 77e03021 
y:       ec 863433a2 e87ff7dc ec04f518 
4*P
x:     73f1 11afbd7a 40e3ea78 19746ddb 
y:      c1f 649db31c cdb7be51 5f9bc56c 
5*P
x:     39cf b5b1944c 8a4e0fb1 fd18b82c 
y:     63ed e91650e2 d14ca0d7 1dcfe0c3 
6*P
x:     2ca8 137f67c9 eaa6ea2a 72fe9673 
y:     4aaa 93451925  efdc14e cf538370 
7*P
x:     176e 9c0cac94 3d4a2476 609187bb 
y:     6b53 29407916 3185ef93 f3cee6cd 
8*P
x:     15fc 6c33686f ed633c99 473c6819 
y:     7278 bc9d860c c324c375 798d1591 
9*P
x:     5230 dac2abb6  6482dcd 6a0244c7 
y:     4c94 7fda2b67 54341425 57be0b1f 
10*P
x:      750 52e25a76 4d1c578a 87b8e8aa 
y:     1742 220fd1de c926399f cf51ebba 
11*P
x:     5d3d 8581d4ef c5f67af0 f2ac07ef 
y:     169a 49cc72a4 46844459 62dced51 
12*P
x:      3de 971b88e8 d1e799d3  f1acab8 
y:     1568  f50871a 31a96e0c 5a94f224 
13*P
x:     62e8 e5247db5 a0a403ce 4de7b391 
y:     30d8 ed3aa4f6 76e31ab7 cf7e464c 
14*P
x:     14f0 12f6895f cdad0d06 9e2d8e3b 
y:      926 ce4b1d0b 95dad340 f47cebef 
15*P
x:     79ee d4e7a095 45f9c23a 6d1baa79 
y:      51e 2457321c 96f57f1a 1db47564 
16*P
x:     16a6 a2196db1 2b418a67 1c53ef29 
y:      82b 87cdaa12 82969f79 d241e286 
17*P
x:     11da a5c71d14  529c502 a8d63108 
y:     491a 6d359c16 7215bd2f abfef740 
18*P
x:     56f5 7307ac9d 12abf657 8344ef2d 
y:     7ea1 34a96c24 3ce9f709 2fe61d05 
19*P
x:     20d5 20bf6bcc 6124621b 5cf1c9a6 
y:     27d0  d31c816 6ecdb7ba b42c0c49 
20*P
x:     3e45 a1788b45 697d1ecc 165a034c 
y:      ef6 555e0c26 d34e17c4 3090403e 
21*P
x:     2cdf d99d55b4 dfa8dd74 4193d482 
y:     4ad0 7fc5e292 76dc2103 a9d95258 
22*P
x:     7b02 11789ef9 46e7a0fa 3e48c768 
y:     7677 a43c3b01 cc2fe05a f9cdc3dd 
23*P
x:     4fae 306bd438 8454c087 d4c8aab3 
y:     15b3 b1c23d9e 874541aa  4958940 
24*P
x:     50a8 aa4a614e 6fb86ce1 2ddc9e79 
y:     41ed 611fd1a4 d9d25969  ef5cb59 
25*P
x:     243d d7f2378b bd82ebbd 9752463b 
y:     2be2 5125ef16 fa8dbb54 54e5ca91 
26*P
x:     7dba 645db794 21ad4d53  1522c83 
y:     11ba 1fdadde0 fe7be1d6 50146cab 
27*P
x:     2f44 ba3b002b eea0ff21  77fa13c 
y:     106c c25d39ed c902d5f8 3e169bee 
28*P
x:     266e 2e0e62a3 169f52bc f5c077c7 
y:     3207 9103fc71 9d54098d 7c5d15bc 
29*P
x:     2d00 ec6a0186  4d8c734 6dbd6eec 
y:     2dc9 95bf0df2 52b00010 7ce29e88 
30*P
x:     1d60 aaf1c82f dc732e96 599bc0a7 
y:     48fc 3f550dee d4202cb1 d1f9c1c0 
31*P
x:     62d9 8679974f d8f001fa 88f7ddbc 
y:     5255 e8ad8d28 3620fd97 51a6a267 
32*P
x:     673a fa3c8386 39fa179f f7519217 
y:      d9d 12313019 23de69c1 bc73563f 
33*P
x:     2d67 262339ee  466f9b5 ea3e5745 
y:     7d80 97217991 486f463d 34edc4d0 
34*P
x:     54bc  90ba0fe 492860a6 48a464cd 
y:     7c92 741c3bef e6b06b51 fc15a8d5 
35*P
x:     7f19 641095ac 3a3cf6a6 66fb45dc 
y:     1955 648b4288 a594e0ed 4f2b81be 
36*P
x:     47bd bcd23c23 2c9feaa9 f519ccb7 
y:      ebd 651c6011 c577d4bd 69eb6d27 
37*P
x:     7dca c60a5afe 8453999f df7ac77a 
y:     1991 dff99193 580ac1a4 b057b2e3 
38*P
x:     180b c5c1f231 392863d9 a2bb667c 
y:     23ce 4865cdb9 d45a8616 7561d72e 
39*P
x:     53cd f6769171 70005529 50ed7946 
y:     1ead 9ee9e52f 5b98053e  bde54e1