#define is_rpmbc(o) ((o)->ob_type == &rpmbc_Type)
-#ifdef NOTYET
static const char initialiser_name[] = "rpmbc";
-static PyObject *
-rpmbc_format(rpmbcObject * s, int base, unsigned char withname)
+const struct {
+ /* Number of digits in the conversion base that always fits in an mp_limb_t.
+ For example, for base 10 on a machine where a mp_limb_t has 32 bits this
+ is 9, since 10**9 is the largest number that fits into a mp_limb_t. */
+ int chars_per_limb;
+
+ /* log(2)/log(conversion_base) */
+ double chars_per_bit_exactly;
+
+ /* base**chars_per_limb, i.e. the biggest number that fits a word, built by
+ factors of base. Exception: For 2, 4, 8, etc, big_base is log2(base),
+ i.e. the number of bits used to represent each digit in the base. */
+ unsigned int big_base;
+
+ /* A BITS_PER_MP_LIMB bit approximation to 1/big_base, represented as a
+ fixed-point number. Instead of dividing by big_base an application can
+ choose to multiply by big_base_inverted. */
+ unsigned int big_base_inverted;
+} mp_bases[257] = {
+ /* 0 */ {0, 0.0, 0, 0},
+ /* 1 */ {0, 1e37, 0, 0},
+ /* 2 */ {32, 1.0000000000000000, 0x1, 0x0},
+ /* 3 */ {20, 0.6309297535714574, 0xcfd41b91, 0x3b563c24},
+ /* 4 */ {16, 0.5000000000000000, 0x2, 0x0},
+ /* 5 */ {13, 0.4306765580733931, 0x48c27395, 0xc25c2684},
+ /* 6 */ {12, 0.3868528072345416, 0x81bf1000, 0xf91bd1b6},
+ /* 7 */ {11, 0.3562071871080222, 0x75db9c97, 0x1607a2cb},
+ /* 8 */ {10, 0.3333333333333333, 0x3, 0x0},
+ /* 9 */ {10, 0.3154648767857287, 0xcfd41b91, 0x3b563c24},
+ /* 10 */ {9, 0.3010299956639812, 0x3b9aca00, 0x12e0be82},
+ /* 11 */ {9, 0.2890648263178878, 0x8c8b6d2b, 0xd24cde04},
+ /* 12 */ {8, 0.2789429456511298, 0x19a10000, 0x3fa39ab5},
+ /* 13 */ {8, 0.2702381544273197, 0x309f1021, 0x50f8ac5f},
+ /* 14 */ {8, 0.2626495350371935, 0x57f6c100, 0x74843b1e},
+ /* 15 */ {8, 0.2559580248098155, 0x98c29b81, 0xad0326c2},
+ /* 16 */ {8, 0.2500000000000000, 0x4, 0x0},
+ /* 17 */ {7, 0.2446505421182260, 0x18754571, 0x4ef0b6bd},
+ /* 18 */ {7, 0.2398124665681314, 0x247dbc80, 0xc0fc48a1},
+ /* 19 */ {7, 0.2354089133666382, 0x3547667b, 0x33838942},
+ /* 20 */ {7, 0.2313782131597592, 0x4c4b4000, 0xad7f29ab},
+ /* 21 */ {7, 0.2276702486969530, 0x6b5a6e1d, 0x313c3d15},
+ /* 22 */ {7, 0.2242438242175754, 0x94ace180, 0xb8cca9e0},
+ /* 23 */ {7, 0.2210647294575037, 0xcaf18367, 0x42ed6de9},
+ /* 24 */ {6, 0.2181042919855316, 0xb640000, 0x67980e0b},
+ /* 25 */ {6, 0.2153382790366965, 0xe8d4a51, 0x19799812},
+ /* 26 */ {6, 0.2127460535533632, 0x1269ae40, 0xbce85396},
+ /* 27 */ {6, 0.2103099178571525, 0x17179149, 0x62c103a9},
+ /* 28 */ {6, 0.2080145976765095, 0x1cb91000, 0x1d353d43},
+ /* 29 */ {6, 0.2058468324604344, 0x23744899, 0xce1decea},
+ /* 30 */ {6, 0.2037950470905062, 0x2b73a840, 0x790fc511},
+ /* 31 */ {6, 0.2018490865820999, 0x34e63b41, 0x35b865a0},
+ /* 32 */ {6, 0.2000000000000000, 0x5, 0x0},
+ /* 33 */ {6, 0.1982398631705605, 0x4cfa3cc1, 0xa9aed1b3},
+ /* 34 */ {6, 0.1965616322328226, 0x5c13d840, 0x63dfc229},
+ /* 35 */ {6, 0.1949590218937863, 0x6d91b519, 0x2b0fee30},
+ /* 36 */ {6, 0.1934264036172708, 0x81bf1000, 0xf91bd1b6},
+ /* 37 */ {6, 0.1919587200065601, 0x98ede0c9, 0xac89c3a9},
+ /* 38 */ {6, 0.1905514124267734, 0xb3773e40, 0x6d2c32fe},
+ /* 39 */ {6, 0.1892003595168700, 0xd1bbc4d1, 0x387907c9},
+ /* 40 */ {6, 0.1879018247091076, 0xf4240000, 0xc6f7a0b},
+ /* 41 */ {5, 0.1866524112389434, 0x6e7d349, 0x28928154},
+ /* 42 */ {5, 0.1854490234153689, 0x7ca30a0, 0x6e8629d},
+ /* 43 */ {5, 0.1842888331487062, 0x8c32bbb, 0xd373dca0},
+ /* 44 */ {5, 0.1831692509136336, 0x9d46c00, 0xa0b17895},
+ /* 45 */ {5, 0.1820879004699383, 0xaffacfd, 0x746811a5},
+ /* 46 */ {5, 0.1810425967800402, 0xc46bee0, 0x4da6500f},
+ /* 47 */ {5, 0.1800313266566926, 0xdab86ef, 0x2ba23582},
+ /* 48 */ {5, 0.1790522317510414, 0xf300000, 0xdb20a88},
+ /* 49 */ {5, 0.1781035935540111, 0x10d63af1, 0xe68d5ce4},
+ /* 50 */ {5, 0.1771838201355579, 0x12a05f20, 0xb7cdfd9d},
+ /* 51 */ {5, 0.1762914343888821, 0x1490aae3, 0x8e583933},
+ /* 52 */ {5, 0.1754250635819545, 0x16a97400, 0x697cc3ea},
+ /* 53 */ {5, 0.1745834300480449, 0x18ed2825, 0x48a5ca6c},
+ /* 54 */ {5, 0.1737653428714400, 0x1b5e4d60, 0x2b52db16},
+ /* 55 */ {5, 0.1729696904450771, 0x1dff8297, 0x111586a6},
+ /* 56 */ {5, 0.1721954337940981, 0x20d38000, 0xf31d2b36},
+ /* 57 */ {5, 0.1714416005739134, 0x23dd1799, 0xc8d76d19},
+ /* 58 */ {5, 0.1707072796637201, 0x271f35a0, 0xa2cb1eb4},
+ /* 59 */ {5, 0.1699916162869140, 0x2a9ce10b, 0x807c3ec3},
+ /* 60 */ {5, 0.1692938075987814, 0x2e593c00, 0x617ec8bf},
+ /* 61 */ {5, 0.1686130986895011, 0x3257844d, 0x45746cbe},
+ /* 62 */ {5, 0.1679487789570419, 0x369b13e0, 0x2c0aa273},
+ /* 63 */ {5, 0.1673001788101741, 0x3b27613f, 0x14f90805},
+ /* 64 */ {5, 0.1666666666666667, 0x6, 0x0},
+ /* 65 */ {5, 0.1660476462159378, 0x4528a141, 0xd9cf0829},
+ /* 66 */ {5, 0.1654425539190583, 0x4aa51420, 0xb6fc4841},
+ /* 67 */ {5, 0.1648508567221603, 0x50794633, 0x973054cb},
+ /* 68 */ {5, 0.1642720499620502, 0x56a94400, 0x7a1dbe4b},
+ /* 69 */ {5, 0.1637056554452156, 0x5d393975, 0x5f7fcd7f},
+ /* 70 */ {5, 0.1631512196835108, 0x642d7260, 0x47196c84},
+ /* 71 */ {5, 0.1626083122716342, 0x6b8a5ae7, 0x30b43635},
+ /* 72 */ {5, 0.1620765243931223, 0x73548000, 0x1c1fa5f6},
+ /* 73 */ {5, 0.1615554674429964, 0x7b908fe9, 0x930634a},
+ /* 74 */ {5, 0.1610447717564444, 0x84435aa0, 0xef7f4a3c},
+ /* 75 */ {5, 0.1605440854340214, 0x8d71d25b, 0xcf5552d2},
+ /* 76 */ {5, 0.1600530732548213, 0x97210c00, 0xb1a47c8e},
+ /* 77 */ {5, 0.1595714156699382, 0xa1563f9d, 0x9634b43e},
+ /* 78 */ {5, 0.1590988078692941, 0xac16c8e0, 0x7cd3817d},
+ /* 79 */ {5, 0.1586349589155960, 0xb768278f, 0x65536761},
+ /* 80 */ {5, 0.1581795909397823, 0xc3500000, 0x4f8b588e},
+ /* 81 */ {5, 0.1577324383928644, 0xcfd41b91, 0x3b563c24},
+ /* 82 */ {5, 0.1572932473495469, 0xdcfa6920, 0x28928154},
+ /* 83 */ {5, 0.1568617748594410, 0xeac8fd83, 0x1721bfb0},
+ /* 84 */ {5, 0.1564377883420715, 0xf9461400, 0x6e8629d},
+ /* 85 */ {4, 0.1560210650222250, 0x31c84b1, 0x491cc17c},
+ /* 86 */ {4, 0.1556113914024939, 0x342ab10, 0x3a11d83b},
+ /* 87 */ {4, 0.1552085627701551, 0x36a2c21, 0x2be074cd},
+ /* 88 */ {4, 0.1548123827357682, 0x3931000, 0x1e7a02e7},
+ /* 89 */ {4, 0.1544226628011101, 0x3bd5ee1, 0x11d10edd},
+ /* 90 */ {4, 0.1540392219542636, 0x3e92110, 0x5d92c68},
+ /* 91 */ {4, 0.1536618862898642, 0x4165ef1, 0xf50dbfb2},
+ /* 92 */ {4, 0.1532904886526781, 0x4452100, 0xdf9f1316},
+ /* 93 */ {4, 0.1529248683028321, 0x4756fd1, 0xcb52a684},
+ /* 94 */ {4, 0.1525648706011593, 0x4a75410, 0xb8163e97},
+ /* 95 */ {4, 0.1522103467132434, 0x4dad681, 0xa5d8f269},
+ /* 96 */ {4, 0.1518611533308632, 0x5100000, 0x948b0fcd},
+ /* 97 */ {4, 0.1515171524096389, 0x546d981, 0x841e0215},
+ /* 98 */ {4, 0.1511782109217764, 0x57f6c10, 0x74843b1e},
+ /* 99 */ {4, 0.1508442006228941, 0x5b9c0d1, 0x65b11e6e},
+ /* 100 */ {4, 0.1505149978319906, 0x5f5e100, 0x5798ee23},
+ /* 101 */ {4, 0.1501904832236880, 0x633d5f1, 0x4a30b99b},
+ /* 102 */ {4, 0.1498705416319474, 0x673a910, 0x3d6e4d94},
+ /* 103 */ {4, 0.1495550618645152, 0x6b563e1, 0x314825b0},
+ /* 104 */ {4, 0.1492439365274121, 0x6f91000, 0x25b55f2e},
+ /* 105 */ {4, 0.1489370618588283, 0x73eb721, 0x1aadaccb},
+ /* 106 */ {4, 0.1486343375718350, 0x7866310, 0x10294ba2},
+ /* 107 */ {4, 0.1483356667053617, 0x7d01db1, 0x620f8f6},
+ /* 108 */ {4, 0.1480409554829326, 0x81bf100, 0xf91bd1b6},
+ /* 109 */ {4, 0.1477501131786861, 0x869e711, 0xe6d37b2a},
+ /* 110 */ {4, 0.1474630519902391, 0x8ba0a10, 0xd55cff6e},
+ /* 111 */ {4, 0.1471796869179852, 0x90c6441, 0xc4ad2db2},
+ /* 112 */ {4, 0.1468999356504447, 0x9610000, 0xb4b985cf},
+ /* 113 */ {4, 0.1466237184553111, 0x9b7e7c1, 0xa5782bef},
+ /* 114 */ {4, 0.1463509580758620, 0xa112610, 0x96dfdd2a},
+ /* 115 */ {4, 0.1460815796324244, 0xa6cc591, 0x88e7e509},
+ /* 116 */ {4, 0.1458155105286054, 0xacad100, 0x7b8813d3},
+ /* 117 */ {4, 0.1455526803620167, 0xb2b5331, 0x6eb8b595},
+ /* 118 */ {4, 0.1452930208392429, 0xb8e5710, 0x627289db},
+ /* 119 */ {4, 0.1450364656948130, 0xbf3e7a1, 0x56aebc07},
+ /* 120 */ {4, 0.1447829506139581, 0xc5c1000, 0x4b66dc33},
+ /* 121 */ {4, 0.1445324131589439, 0xcc6db61, 0x4094d8a3},
+ /* 122 */ {4, 0.1442847926987864, 0xd345510, 0x3632f7a5},
+ /* 123 */ {4, 0.1440400303421672, 0xda48871, 0x2c3bd1f0},
+ /* 124 */ {4, 0.1437980688733776, 0xe178100, 0x22aa4d5f},
+ /* 125 */ {4, 0.1435588526911310, 0xe8d4a51, 0x19799812},
+ /* 126 */ {4, 0.1433223277500932, 0xf05f010, 0x10a523e5},
+ /* 127 */ {4, 0.1430884415049874, 0xf817e01, 0x828a237},
+ /* 128 */ {4, 0.1428571428571428, 0x7, 0x0},
+ /* 129 */ {4, 0.1426283821033600, 0x10818201, 0xf04ec452},
+ /* 130 */ {4, 0.1424021108869747, 0x11061010, 0xe136444a},
+ /* 131 */ {4, 0.1421782821510107, 0x118db651, 0xd2af9589},
+ /* 132 */ {4, 0.1419568500933153, 0x12188100, 0xc4b42a83},
+ /* 133 */ {4, 0.1417377701235801, 0x12a67c71, 0xb73dccf5},
+ /* 134 */ {4, 0.1415209988221527, 0x1337b510, 0xaa4698c5},
+ /* 135 */ {4, 0.1413064939005528, 0x13cc3761, 0x9dc8f729},
+ /* 136 */ {4, 0.1410942141636095, 0x14641000, 0x91bf9a30},
+ /* 137 */ {4, 0.1408841194731412, 0x14ff4ba1, 0x86257887},
+ /* 138 */ {4, 0.1406761707131039, 0x159df710, 0x7af5c98c},
+ /* 139 */ {4, 0.1404703297561400, 0x16401f31, 0x702c01a0},
+ /* 140 */ {4, 0.1402665594314587, 0x16e5d100, 0x65c3ceb1},
+ /* 141 */ {4, 0.1400648234939879, 0x178f1991, 0x5bb91502},
+ /* 142 */ {4, 0.1398650865947379, 0x183c0610, 0x5207ec23},
+ /* 143 */ {4, 0.1396673142523192, 0x18eca3c1, 0x48ac9c19},
+ /* 144 */ {4, 0.1394714728255649, 0x19a10000, 0x3fa39ab5},
+ /* 145 */ {4, 0.1392775294872041, 0x1a592841, 0x36e98912},
+ /* 146 */ {4, 0.1390854521985406, 0x1b152a10, 0x2e7b3140},
+ /* 147 */ {4, 0.1388952096850913, 0x1bd51311, 0x2655840b},
+ /* 148 */ {4, 0.1387067714131417, 0x1c98f100, 0x1e7596ea},
+ /* 149 */ {4, 0.1385201075671774, 0x1d60d1b1, 0x16d8a20d},
+ /* 150 */ {4, 0.1383351890281539, 0x1e2cc310, 0xf7bfe87},
+ /* 151 */ {4, 0.1381519873525671, 0x1efcd321, 0x85d2492},
+ /* 152 */ {4, 0.1379704747522905, 0x1fd11000, 0x179a9f4},
+ /* 153 */ {4, 0.1377906240751463, 0x20a987e1, 0xf59e80eb},
+ /* 154 */ {4, 0.1376124087861776, 0x21864910, 0xe8b768db},
+ /* 155 */ {4, 0.1374358029495937, 0x226761f1, 0xdc39d6d5},
+ /* 156 */ {4, 0.1372607812113589, 0x234ce100, 0xd021c5d1},
+ /* 157 */ {4, 0.1370873187823978, 0x2436d4d1, 0xc46b5e37},
+ /* 158 */ {4, 0.1369153914223921, 0x25254c10, 0xb912f39c},
+ /* 159 */ {4, 0.1367449754241439, 0x26185581, 0xae150294},
+ /* 160 */ {4, 0.1365760475984821, 0x27100000, 0xa36e2eb1},
+ /* 161 */ {4, 0.1364085852596902, 0x280c5a81, 0x991b4094},
+ /* 162 */ {4, 0.1362425662114337, 0x290d7410, 0x8f19241e},
+ /* 163 */ {4, 0.1360779687331669, 0x2a135bd1, 0x8564e6b7},
+ /* 164 */ {4, 0.1359147715670014, 0x2b1e2100, 0x7bfbb5b4},
+ /* 165 */ {4, 0.1357529539050150, 0x2c2dd2f1, 0x72dadcc8},
+ /* 166 */ {4, 0.1355924953769864, 0x2d428110, 0x69ffc498},
+ /* 167 */ {4, 0.1354333760385373, 0x2e5c3ae1, 0x6167f154},
+ /* 168 */ {4, 0.1352755763596663, 0x2f7b1000, 0x5911016e},
+ /* 169 */ {4, 0.1351190772136599, 0x309f1021, 0x50f8ac5f},
+ /* 170 */ {4, 0.1349638598663645, 0x31c84b10, 0x491cc17c},
+ /* 171 */ {4, 0.1348099059658080, 0x32f6d0b1, 0x417b26d8},
+ /* 172 */ {4, 0.1346571975321549, 0x342ab100, 0x3a11d83b},
+ /* 173 */ {4, 0.1345057169479844, 0x3563fc11, 0x32dee622},
+ /* 174 */ {4, 0.1343554469488779, 0x36a2c210, 0x2be074cd},
+ /* 175 */ {4, 0.1342063706143054, 0x37e71341, 0x2514bb58},
+ /* 176 */ {4, 0.1340584713587979, 0x39310000, 0x1e7a02e7},
+ /* 177 */ {4, 0.1339117329233981, 0x3a8098c1, 0x180ea5d0},
+ /* 178 */ {4, 0.1337661393673756, 0x3bd5ee10, 0x11d10edd},
+ /* 179 */ {4, 0.1336216750601996, 0x3d311091, 0xbbfb88e},
+ /* 180 */ {4, 0.1334783246737591, 0x3e921100, 0x5d92c68},
+ /* 181 */ {4, 0.1333360731748201, 0x3ff90031, 0x1c024c},
+ /* 182 */ {4, 0.1331949058177136, 0x4165ef10, 0xf50dbfb2},
+ /* 183 */ {4, 0.1330548081372441, 0x42d8eea1, 0xea30efa3},
+ /* 184 */ {4, 0.1329157659418126, 0x44521000, 0xdf9f1316},
+ /* 185 */ {4, 0.1327777653067443, 0x45d16461, 0xd555c0c9},
+ /* 186 */ {4, 0.1326407925678156, 0x4756fd10, 0xcb52a684},
+ /* 187 */ {4, 0.1325048343149731, 0x48e2eb71, 0xc193881f},
+ /* 188 */ {4, 0.1323698773862368, 0x4a754100, 0xb8163e97},
+ /* 189 */ {4, 0.1322359088617821, 0x4c0e0f51, 0xaed8b724},
+ /* 190 */ {4, 0.1321029160581950, 0x4dad6810, 0xa5d8f269},
+ /* 191 */ {4, 0.1319708865228925, 0x4f535d01, 0x9d15039d},
+ /* 192 */ {4, 0.1318398080287045, 0x51000000, 0x948b0fcd},
+ /* 193 */ {4, 0.1317096685686114, 0x52b36301, 0x8c394d1d},
+ /* 194 */ {4, 0.1315804563506306, 0x546d9810, 0x841e0215},
+ /* 195 */ {4, 0.1314521597928493, 0x562eb151, 0x7c3784f8},
+ /* 196 */ {4, 0.1313247675185968, 0x57f6c100, 0x74843b1e},
+ /* 197 */ {4, 0.1311982683517524, 0x59c5d971, 0x6d02985d},
+ /* 198 */ {4, 0.1310726513121843, 0x5b9c0d10, 0x65b11e6e},
+ /* 199 */ {4, 0.1309479056113158, 0x5d796e61, 0x5e8e5c64},
+ /* 200 */ {4, 0.1308240206478128, 0x5f5e1000, 0x5798ee23},
+ /* 201 */ {4, 0.1307009860033912, 0x614a04a1, 0x50cf7bde},
+ /* 202 */ {4, 0.1305787914387386, 0x633d5f10, 0x4a30b99b},
+ /* 203 */ {4, 0.1304574268895465, 0x65383231, 0x43bb66bd},
+ /* 204 */ {4, 0.1303368824626505, 0x673a9100, 0x3d6e4d94},
+ /* 205 */ {4, 0.1302171484322746, 0x69448e91, 0x374842ee},
+ /* 206 */ {4, 0.1300982152363760, 0x6b563e10, 0x314825b0},
+ /* 207 */ {4, 0.1299800734730872, 0x6d6fb2c1, 0x2b6cde75},
+ /* 208 */ {4, 0.1298627138972530, 0x6f910000, 0x25b55f2e},
+ /* 209 */ {4, 0.1297461274170591, 0x71ba3941, 0x2020a2c5},
+ /* 210 */ {4, 0.1296303050907487, 0x73eb7210, 0x1aadaccb},
+ /* 211 */ {4, 0.1295152381234257, 0x7624be11, 0x155b891f},
+ /* 212 */ {4, 0.1294009178639407, 0x78663100, 0x10294ba2},
+ /* 213 */ {4, 0.1292873358018581, 0x7aafdeb1, 0xb160fe9},
+ /* 214 */ {4, 0.1291744835645007, 0x7d01db10, 0x620f8f6},
+ /* 215 */ {4, 0.1290623529140715, 0x7f5c3a21, 0x14930ef},
+ /* 216 */ {4, 0.1289509357448472, 0x81bf1000, 0xf91bd1b6},
+ /* 217 */ {4, 0.1288402240804449, 0x842a70e1, 0xefdcb0c7},
+ /* 218 */ {4, 0.1287302100711566, 0x869e7110, 0xe6d37b2a},
+ /* 219 */ {4, 0.1286208859913518, 0x891b24f1, 0xddfeb94a},
+ /* 220 */ {4, 0.1285122442369443, 0x8ba0a100, 0xd55cff6e},
+ /* 221 */ {4, 0.1284042773229231, 0x8e2ef9d1, 0xcceced50},
+ /* 222 */ {4, 0.1282969778809442, 0x90c64410, 0xc4ad2db2},
+ /* 223 */ {4, 0.1281903386569819, 0x93669481, 0xbc9c75f9},
+ /* 224 */ {4, 0.1280843525090381, 0x96100000, 0xb4b985cf},
+ /* 225 */ {4, 0.1279790124049077, 0x98c29b81, 0xad0326c2},
+ /* 226 */ {4, 0.1278743114199984, 0x9b7e7c10, 0xa5782bef},
+ /* 227 */ {4, 0.1277702427352035, 0x9e43b6d1, 0x9e1771a9},
+ /* 228 */ {4, 0.1276667996348261, 0xa1126100, 0x96dfdd2a},
+ /* 229 */ {4, 0.1275639755045533, 0xa3ea8ff1, 0x8fd05c41},
+ /* 230 */ {4, 0.1274617638294791, 0xa6cc5910, 0x88e7e509},
+ /* 231 */ {4, 0.1273601581921740, 0xa9b7d1e1, 0x8225759d},
+ /* 232 */ {4, 0.1272591522708010, 0xacad1000, 0x7b8813d3},
+ /* 233 */ {4, 0.1271587398372755, 0xafac2921, 0x750eccf9},
+ /* 234 */ {4, 0.1270589147554692, 0xb2b53310, 0x6eb8b595},
+ /* 235 */ {4, 0.1269596709794558, 0xb5c843b1, 0x6884e923},
+ /* 236 */ {4, 0.1268610025517973, 0xb8e57100, 0x627289db},
+ /* 237 */ {4, 0.1267629036018709, 0xbc0cd111, 0x5c80c07b},
+ /* 238 */ {4, 0.1266653683442337, 0xbf3e7a10, 0x56aebc07},
+ /* 239 */ {4, 0.1265683910770258, 0xc27a8241, 0x50fbb19b},
+ /* 240 */ {4, 0.1264719661804097, 0xc5c10000, 0x4b66dc33},
+ /* 241 */ {4, 0.1263760881150453, 0xc91209c1, 0x45ef7c7c},
+ /* 242 */ {4, 0.1262807514205999, 0xcc6db610, 0x4094d8a3},
+ /* 243 */ {4, 0.1261859507142915, 0xcfd41b91, 0x3b563c24},
+ /* 244 */ {4, 0.1260916806894653, 0xd3455100, 0x3632f7a5},
+ /* 245 */ {4, 0.1259979361142023, 0xd6c16d31, 0x312a60c3},
+ /* 246 */ {4, 0.1259047118299582, 0xda488710, 0x2c3bd1f0},
+ /* 247 */ {4, 0.1258120027502338, 0xdddab5a1, 0x2766aa45},
+ /* 248 */ {4, 0.1257198038592741, 0xe1781000, 0x22aa4d5f},
+ /* 249 */ {4, 0.1256281102107963, 0xe520ad61, 0x1e06233c},
+ /* 250 */ {4, 0.1255369169267456, 0xe8d4a510, 0x19799812},
+ /* 251 */ {4, 0.1254462191960791, 0xec940e71, 0x15041c33},
+ /* 252 */ {4, 0.1253560122735751, 0xf05f0100, 0x10a523e5},
+ /* 253 */ {4, 0.1252662914786691, 0xf4359451, 0xc5c2749},
+ /* 254 */ {4, 0.1251770521943144, 0xf817e010, 0x828a237},
+ /* 255 */ {4, 0.1250882898658681, 0xfc05fc01, 0x40a1423},
+ /* 256 */ {4, 0.1250000000000000, 0x8, 0x0},
+};
+
+static size_t
+mp32sizeinbase(uint32 xsize, uint32 * xdata, int base)
{
- PyStringObject * so;
- size_t i;
- int cmpres;
- int taglong;
- char *cp;
- char prefix[5];
+ size_t res = 1;
- char * tcp = &prefix[0];
+ if (xsize > 0) {
+ uint32 nbits = (xsize * 32) - mp32mszcnt(xsize, xdata);
+ uint32 lbits;
- if (s == NULL || !is_rpmbc(s)) {
+ if ((base & (base-1)) == 0) { /* exact power of 2 */
+ lbits = mp_bases[base].big_base;
+ res = (nbits + (lbits - 1)) / lbits;
+ } else {
+ res = (nbits * mp_bases[base].chars_per_bit_exactly) + 1;
+ }
+ }
+ return res;
+}
+
+static char *
+mp32str(char * t, uint32 nt, uint32 zsize, uint32 * zdata, uint32 zbase)
+{
+ uint32 asize = zsize + 1;
+ uint32 * wksp = alloca((2*asize+2) * sizeof(*wksp));
+ uint32 * adata = wksp + 2;
+ uint32 * bdata = adata + asize;
+ static char bchars[] = "0123456789abcdefghijklmnopqrstuvwxyz";
+ uint32 result;
+
+ bdata[0] = 0;
+ mp32copy(asize-1, bdata+1, zdata);
+
+ t[nt] = '\0';
+ while (nt--) {
+ mp32copy(asize, adata, bdata);
+ mp32nmod(bdata, asize, adata, 1, &zbase, wksp);
+ result = bdata[asize-1];
+ t[nt] = bchars[result];
+ mp32ndivmod(bdata, asize, adata, 1, &zbase, wksp);
+ }
+ return t;
+}
+
+static PyObject *
+rpmbc_format(rpmbcObject * z, uint32 zbase, int withname)
+{
+ PyStringObject * so;
+ uint32 i;
+ uint32 nt;
+ uint32 zsize;
+ uint32 * zdata;
+ char * te;
+ char prefix[5];
+ char * tcp = prefix;
+
+ if (z == NULL || !is_rpmbc(z)) {
PyErr_BadInternalCall();
return NULL;
}
- assert(base >= 2 && base <= 36);
+ assert(zbase >= 2 && zbase <= 36);
if (withname)
i = strlen(initialiser_name) + 2; /* e.g. 'rpmbc(' + ')' */
else
i = 0;
- if (mp32z(s->n.size, s->n.data))
- base = 10; /* '0' in every base, right */
- else if (mp32msbset(s->n.size, s->n.data)) {
+ nt = mp32mszcnt(z->n.size, z->n.data)/32;
+ zsize = z->n.size - nt;
+ zdata = z->n.data + nt;
+
+ if (mp32z(zsize, zdata))
+ zbase = 10; /* '0' in every base, right */
+ else if (mp32msbset(zsize, zdata)) {
*tcp++ = '-';
i += 1; /* space to hold '-' */
}
- i += (int)mpz_sizeinbase(&s->mpz, base);
+ nt = mp32sizeinbase(zsize, zdata, zbase);
+ i += nt;
- if (base == 16) {
+ if (zbase == 16) {
*tcp++ = '0';
*tcp++ = 'x';
i += 2; /* space to hold '0x' */
- } else if (base == 8) {
+ } else if (zbase == 8) {
*tcp++ = '0';
i += 1; /* space to hold the extra '0' */
- } else if (base > 10) {
- *tcp++ = '0' + base / 10;
- *tcp++ = '0' + base % 10;
+ } else if (zbase > 10) {
+ *tcp++ = '0' + zbase / 10;
+ *tcp++ = '0' + zbase % 10;
*tcp++ = '#';
i += 3; /* space to hold e.g. '12#' */
- } else if (base < 10) {
- *tcp++ = '0' + base;
+ } else if (zbase < 10) {
+ *tcp++ = '0' + zbase;
*tcp++ = '#';
i += 2; /* space to hold e.g. '6#' */
}
- /*
- ** the following code looks if we need a 'L' attached to the number
- ** it will also attach an 'L' to the value -0x80000000
- */
- taglong = 0;
- if (mpz_size(&s->mpz) > 1
- || (long)mpz_get_ui(&s->mpz) < 0L) {
- taglong = 1;
- i += 1; /* space to hold 'L' */
- }
-
so = (PyStringObject *)PyString_FromStringAndSize((char *)0, i);
if (so == NULL)
return NULL;
/* get the beginning of the string memory and start copying things */
- cp = PyString_AS_STRING(so);
+ te = PyString_AS_STRING(so);
if (withname) {
- strcpy(cp, initialiser_name);
- cp += strlen(initialiser_name);
- *cp++ = '('; /*')'*/
+ te = stpcpy(te, initialiser_name);
+ *te++ = '('; /*')'*/
}
/* copy the already prepared prefix; e.g. sign and base indicator */
*tcp = '\0';
- strcpy(cp, prefix);
- cp += tcp - prefix;
-
- /* since' we have the sign already, let the lib think it's a positive
- number */
- if (cmpres < 0)
- mpz_neg(&s->mpz,&s->mpz); /* hack Hack HAck HACk HACK */
- (void)mpz_get_str(cp, base, &s->mpz);
- if (cmpres < 0)
- mpz_neg(&s->mpz,&s->mpz); /* hack Hack HAck HACk HACK */
- cp += strlen(cp);
-
- if (taglong)
- *cp++ = 'L';
- if (withname)
- *cp++ = /*'('*/ ')';
+ te = stpcpy(te, prefix);
- *cp = '\0';
+ (void) mp32str(te, nt, zsize, zdata, zbase);
+ te += strlen(te);
- assert(cp - PyString_AS_STRING(so) <= i);
+ if (withname)
+ *te++ = /*'('*/ ')';
+ *te = '\0';
- if (cp - PyString_AS_STRING(so) != i)
- so->ob_size -= i - (cp - PyString_AS_STRING(so));
+ assert(te - PyString_AS_STRING(so) <= i);
+
+ if (te - PyString_AS_STRING(so) != i)
+ so->ob_size -= i - (te - PyString_AS_STRING(so));
return (PyObject *)so;
}
-#endif
/* ---------- */
rpmbc_compare(rpmbcObject * a, rpmbcObject * b)
/*@*/
{
+ int ret;
+
+ if (mp32eqx(a->n.size, a->n.data, b->n.size, b->n.data))
+ ret = 0;
+ else if (mp32gtx(a->n.size, a->n.data, b->n.size, b->n.data))
+ ret = 1;
+ else
+ ret = -1;
+
if (_bc_debug)
-fprintf(stderr, "*** rpmbc_compare(%p,%p)\n", a, b);
- return 0;
+fprintf(stderr, "*** rpmbc_compare(%p[%s],%p[%s]) ret %d\n", a, lbl(a), b, lbl(b), ret);
+ return ret;
}
static PyObject *
rpmbc_repr(rpmbcObject * a)
/*@*/
{
-if (_bc_debug)
-fprintf(stderr, "*** rpmbc_repr(%p)\n", a);
- return NULL;
+ PyObject * so = rpmbc_format(a, 10, 1);
+if (_bc_debug && so != NULL)
+fprintf(stderr, "*** rpmbc_repr(%p): \"%s\"\n", a, PyString_AS_STRING(so));
+ return so;
}
/** \ingroup python
if ((a = rpmbc_i2bc(op1)) != NULL
&& (b = rpmbc_i2bc(op2)) != NULL
- && (wksp = malloc(a->n.size)) != NULL
- && (z = rpmbc_New()) != NULL) {
+ && (z = rpmbc_New()) != NULL)
+ {
+ wksp = alloca((a->n.size) * sizeof(*wksp));
mp32nsize(&z->n, a->n.size);
mp32gcd_w(a->n.size, a->n.data, b->n.data, z->n.data, wksp);
}
- if (wksp != NULL) free(wksp);
Py_DECREF(a);
Py_DECREF(b);
rpmbc_divide(rpmbcObject * a, rpmbcObject * b)
/*@*/
{
- rpmbcObject * z = NULL;
- uint32 * wksp;
+ rpmbcObject * z;
if (mp32z(b->n.size, b->n.data)) {
PyErr_SetString(PyExc_ZeroDivisionError, "rpmbc_divide by zero");
return NULL;
}
- if ((z = rpmbc_New()) == NULL
- || (wksp = malloc(b->n.size+1)) == NULL) {
- Py_XDECREF(z);
- return NULL;
- }
-
- mp32nsize(&z->n, a->n.size);
- mp32ndivmod(z->n.data, a->n.size, a->n.data, b->n.size, b->n.data, wksp);
-
- free(wksp);
+ if ((z = rpmbc_New()) != NULL) {
+ uint32 bnorm = mp32mszcnt(b->n.size, b->n.data)/32;
+ uint32 bsize = b->n.size - bnorm;
+ uint32 * bdata = b->n.data + bnorm;
+ uint32 * wksp = alloca((bsize+1) * sizeof(*wksp));
+
+ mp32nsize(&z->n, a->n.size);
+ mp32ndivmod(z->n.data, a->n.size, a->n.data, bsize, bdata, wksp);
if (_bc_debug)
fprintf(stderr, "*** rpmbc_divide(%p,%p):\t", a, b), mp32println(stderr, z->n.size, z->n.data);
+ }
return (PyObject *)z;
}
rpmbcObject * z;
if ((z = rpmbc_New()) != NULL) {
- uint32 * wksp = malloc(a->n.size+1);
+ uint32 bnorm = mp32mszcnt(b->n.size, b->n.data)/32;
+ uint32 bsize = b->n.size - bnorm;
+ uint32 * bdata = b->n.data + bnorm;
+ uint32 * wksp = alloca((bsize+1) * sizeof(*wksp));
+
mp32nsize(&z->n, a->n.size);
- mp32nmod(z->n.data, a->n.size, a->n.data, b->n.size, b->n.data, wksp);
- free(wksp);
+ mp32nmod(z->n.data, a->n.size, a->n.data, bsize, bdata, wksp);
}
if (_bc_debug)
PyObject * z = NULL;
rpmbcObject * q = NULL;
rpmbcObject * r = NULL;
-
-if (_bc_debug)
-fprintf(stderr, "*** rpmbc_divmod(%p,%p)\n", a, b);
+ uint32 bnorm;
+ uint32 bsize;
+ uint32 * bdata;
+ uint32 * wksp;
if (mp32z(b->n.size, b->n.data)) {
PyErr_SetString(PyExc_ZeroDivisionError, "rpmbc_divmod by zero");
return NULL;
}
+ bnorm = mp32mszcnt(b->n.size, b->n.data)/32;
+ bsize = b->n.size - bnorm;
+ bdata = b->n.data + bnorm;
+
if ((z = PyTuple_New(2)) == NULL
|| (q = rpmbc_New()) == NULL
|| (r = rpmbc_New()) == NULL) {
return NULL;
}
- mp32nsize(&q->n, a->n.size+1);
- mp32nsize(&r->n, b->n.size+1);
+ mp32nsize(&q->n, a->n.size);
+ mp32nsize(&r->n, a->n.size);
- mp32ndivmod(q->n.data, a->n.size, a->n.data, b->n.size, b->n.data, r->n.data);
+ wksp = alloca((bsize+1) * sizeof(*wksp));
+ mp32ndivmod(q->n.data, a->n.size, a->n.data, bsize, bdata, wksp);
+ mp32nmod(r->n.data, a->n.size, a->n.data, bsize, bdata, wksp);
+
+if (_bc_debug) {
+fprintf(stderr, "*** rpmbc_divmod(%p,%p)\n", a, b);
+fprintf(stderr, " q(%p):\t", q), mp32println(stderr, q->n.size, q->n.data);
+fprintf(stderr, " r(%p):\t", r), mp32println(stderr, r->n.size, r->n.data);
+}
(void) PyTuple_SetItem(z, 0, (PyObject *)q);
(void) PyTuple_SetItem(z, 1, (PyObject *)r);
rpmbc_power(rpmbcObject * a, rpmbcObject * b, rpmbcObject * c)
/*@*/
{
+ rpmbcObject * z;
+
+ if ((z = rpmbc_New()) != NULL) {
+ mp32ninit(&z->n, a->n.size, a->n.data);
+
if (_bc_debug)
-fprintf(stderr, "*** rpmbc_power(%p,%p,%p)\n", a, b, c);
- return NULL;
+fprintf(stderr, "*** rpmbc_power(%p,%p,%p):\t", a, b, c), mp32println(stderr, z->n.size, z->n.data);
+
+ }
+
+ return (PyObject *)z;
}
static PyObject *
/*@*/
{
rpmbcObject * z;
- uint32 count = 0;
/* XXX check shift count in range. */
if ((z = rpmbc_New()) != NULL) {
- if (b->n.size == 1)
- count = b->n.data[0];
+ uint32 bnorm = mp32mszcnt(b->n.size, b->n.data)/32;
+ uint32 bsize = b->n.size - bnorm;
+ uint32 * bdata = b->n.data + bnorm;
+ uint32 count = 0;
+
+ if (bsize == 1)
+ count = bdata[0];
mp32ninit(&z->n, a->n.size, a->n.data);
mp32lshift(z->n.size, z->n.data, count);
- }
if (_bc_debug)
fprintf(stderr, "*** rpmbc_lshift(%p[%s],%p[%s]):\t", a, lbl(a), b, lbl(b)), mp32println(stderr, z->n.size, z->n.data);
+ }
+
return (PyObject *)z;
}
/*@*/
{
rpmbcObject * z;
- uint32 count = 0;
/* XXX check shift count in range. */
if ((z = rpmbc_New()) != NULL) {
- if (b->n.size == 1)
- count = b->n.data[0];
+ uint32 bnorm = mp32mszcnt(b->n.size, b->n.data)/32;
+ uint32 bsize = b->n.size - bnorm;
+ uint32 * bdata = b->n.data + bnorm;
+ uint32 count = 0;
+
+ if (bsize == 1)
+ count = bdata[0];
mp32ninit(&z->n, a->n.size, a->n.data);
mp32rshift(z->n.size, z->n.data, count);
- }
if (_bc_debug)
fprintf(stderr, "*** rpmbc_rshift(%p[%s],%p[%s]):\t", a, lbl(a), b, lbl(b)), mp32println(stderr, z->n.size, z->n.data);
+ }
+
return (PyObject *)z;
}
rpmbc_int(rpmbcObject * a)
/*@*/
{
- if (mp32size(a->n.size, a->n.data) > 1) {
+ uint32 anorm = mp32mszcnt(a->n.size, a->n.data)/32;
+ uint32 asize = a->n.size - anorm;
+ uint32 * adata = a->n.data + anorm;
+
+ if (asize > 1) {
PyErr_SetString(PyExc_ValueError, "rpmbc_int: arg too long to convert");
return NULL;
}
if (_bc_debug)
-fprintf(stderr, "*** rpmbc_int(%p):\t%08x\n", a, (int)(a->n.data ? a->n.data[0] : 0));
+fprintf(stderr, "*** rpmbc_int(%p):\t%08x\n", a, (int)(asize ? adata[0] : 0));
- return Py_BuildValue("i", (a->n.data ? a->n.data[0] : 0));
+ return Py_BuildValue("i", (asize ? adata[0] : 0));
}
static PyObject *
rpmbc_long(rpmbcObject * a)
/*@*/
{
- if (mp32size(a->n.size, a->n.data) > 1) {
+ uint32 anorm = mp32mszcnt(a->n.size, a->n.data)/32;
+ uint32 asize = a->n.size - anorm;
+ uint32 * adata = a->n.data + anorm;
+
+ if (asize > 1) {
PyErr_SetString(PyExc_ValueError, "rpmbc_long() arg too long to convert");
return NULL;
}
if (_bc_debug)
-fprintf(stderr, "*** rpmbc_long(%p):\t%08lx\n", a, (long)(a->n.data ? a->n.data[0] : 0));
+fprintf(stderr, "*** rpmbc_long(%p):\t%08lx\n", a, (long)(asize ? adata[0] : 0));
- return Py_BuildValue("l", (a->n.data ? a->n.data[0] : 0));
+ return Py_BuildValue("l", (asize ? adata[0] : 0));
}
static PyObject *
rpmbc_float(rpmbcObject * a)
/*@*/
{
+ PyObject * so = rpmbc_format(a, 10, 0);
+ char * s, * se;
+ double d;
+
+ if (so == NULL)
+ return NULL;
+ s = PyString_AS_STRING(so);
+ se = NULL;
+ d = strtod(s, &se);
+
if (_bc_debug)
-fprintf(stderr, "*** rpmbc_float(%p)\n", a);
- return NULL;
+fprintf(stderr, "*** rpmbc_float(%p): s %p \"%s\" se %p d %g\n", a, s, s, se, d);
+ Py_DECREF(so);
+
+ return Py_BuildValue("d", d);
}
static PyObject *
rpmbc_oct(rpmbcObject * a)
/*@*/
{
-if (_bc_debug)
-fprintf(stderr, "*** rpmbc_oct(%p)\n", a);
- return NULL;
+ PyObject * so = rpmbc_format(a, 8, 1);
+if (_bc_debug && so != NULL)
+fprintf(stderr, "*** rpmbc_oct(%p): \"%s\"\n", a, PyString_AS_STRING(so));
+ return so;
}
static PyObject *
rpmbc_hex(rpmbcObject * a)
/*@*/
{
-if (_bc_debug)
-fprintf(stderr, "*** rpmbc_hex(%p)\n", a);
- return NULL;
+ PyObject * so = rpmbc_format(a, 16, 1);
+if (_bc_debug && so != NULL)
+fprintf(stderr, "*** rpmbc_hex(%p): \"%s\"\n", a, PyString_AS_STRING(so));
+ return so;
}
static PyObject *
/*@*/
{
uint32 * result = xmalloc(a->n.size * sizeof(*result));
- uint32 * wksp = xmalloc(b->n.size+1);
+ uint32 bnorm = mp32mszcnt(b->n.size, b->n.data)/32;
+ uint32 bsize = b->n.size - bnorm;
+ uint32 * bdata = b->n.data + bnorm;
+ uint32 * wksp = alloca((bsize+1) * sizeof(*wksp));
- mp32ndivmod(result, a->n.size, a->n.data, b->n.size, b->n.data, wksp);
+ mp32ndivmod(result, a->n.size, a->n.data, bsize, bdata, wksp);
- free(wksp);
free(a->n.data);
a->n.data = result;
/*@*/
{
uint32 * result = xmalloc(a->n.size * sizeof(*result));
- uint32 * wksp = xmalloc(a->n.size+1);
+ uint32 bnorm = mp32mszcnt(b->n.size, b->n.data)/32;
+ uint32 bsize = b->n.size - bnorm;
+ uint32 * bdata = b->n.data + bnorm;
+ uint32 * wksp = alloca((bsize+1) * sizeof(*wksp));
- mp32nmod(result, a->n.size, a->n.data, b->n.size, b->n.data, wksp);
+ mp32nmod(result, a->n.size, a->n.data, bsize, bdata, wksp);
- free(wksp);
free(a->n.data);
a->n.data = result;
rpmbc_inplace_lshift(rpmbcObject * a, rpmbcObject * b)
/*@modifies a @*/
{
+ uint32 bnorm = mp32mszcnt(b->n.size, b->n.data)/32;
+ uint32 bsize = b->n.size - bnorm;
+ uint32 * bdata = b->n.data + bnorm;
uint32 count = 0;
/* XXX check shift count in range. */
- if (b->n.size == 1)
- count = b->n.data[0];
- mp32lshift(a->n.size, a->n.data, count);
+ if (bsize == 1)
+ count = bdata[0];
+ mp32lshift(a->n.size, a->n.data, bdata[0]);
if (_bc_debug)
fprintf(stderr, "*** rpmbc_inplace_lshift(%p,%p):\t", a, b), mp32println(stderr, a->n.size, a->n.data);
rpmbc_inplace_rshift(rpmbcObject * a, rpmbcObject * b)
/*@modifies a @*/
{
+ uint32 bnorm = mp32mszcnt(b->n.size, b->n.data)/32;
+ uint32 bsize = b->n.size - bnorm;
+ uint32 * bdata = b->n.data + bnorm;
uint32 count = 0;
/* XXX check shift count in range. */
- if (b->n.size == 1)
- count = b->n.data[0];
+ if (bsize == 1)
+ count = bdata[0];
mp32rshift(a->n.size, a->n.data, count);
if (_bc_debug)
projects / platform / upstream / rpm.git / commitdiff