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88 lines
3.7 KiB
C
88 lines
3.7 KiB
C
#include <stdint.h>
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#define npowers 87
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#define steppowers 8
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#define firstpower -348 /* 10 ^ -348 */
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#define expmax -32
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#define expmin -60
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typedef struct Fp {
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uint64_t frac;
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int exp;
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} Fp;
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static Fp powers_ten[] = {
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{ 18054884314459144840U, -1220 }, { 13451937075301367670U, -1193 },
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{ 10022474136428063862U, -1166 }, { 14934650266808366570U, -1140 },
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{ 11127181549972568877U, -1113 }, { 16580792590934885855U, -1087 },
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{ 12353653155963782858U, -1060 }, { 18408377700990114895U, -1034 },
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{ 13715310171984221708U, -1007 }, { 10218702384817765436U, -980 },
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{ 15227053142812498563U, -954 }, { 11345038669416679861U, -927 },
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{ 16905424996341287883U, -901 }, { 12595523146049147757U, -874 },
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{ 9384396036005875287U, -847 }, { 13983839803942852151U, -821 },
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{ 10418772551374772303U, -794 }, { 15525180923007089351U, -768 },
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{ 11567161174868858868U, -741 }, { 17236413322193710309U, -715 },
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{ 12842128665889583758U, -688 }, { 9568131466127621947U, -661 },
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{ 14257626930069360058U, -635 }, { 10622759856335341974U, -608 },
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{ 15829145694278690180U, -582 }, { 11793632577567316726U, -555 },
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{ 17573882009934360870U, -529 }, { 13093562431584567480U, -502 },
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{ 9755464219737475723U, -475 }, { 14536774485912137811U, -449 },
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{ 10830740992659433045U, -422 }, { 16139061738043178685U, -396 },
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{ 12024538023802026127U, -369 }, { 17917957937422433684U, -343 },
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{ 13349918974505688015U, -316 }, { 9946464728195732843U, -289 },
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{ 14821387422376473014U, -263 }, { 11042794154864902060U, -236 },
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{ 16455045573212060422U, -210 }, { 12259964326927110867U, -183 },
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{ 18268770466636286478U, -157 }, { 13611294676837538539U, -130 },
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{ 10141204801825835212U, -103 }, { 15111572745182864684U, -77 },
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{ 11258999068426240000U, -50 }, { 16777216000000000000U, -24 },
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{ 12500000000000000000U, 3 }, { 9313225746154785156U, 30 },
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{ 13877787807814456755U, 56 }, { 10339757656912845936U, 83 },
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{ 15407439555097886824U, 109 }, { 11479437019748901445U, 136 },
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{ 17105694144590052135U, 162 }, { 12744735289059618216U, 189 },
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{ 9495567745759798747U, 216 }, { 14149498560666738074U, 242 },
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{ 10542197943230523224U, 269 }, { 15709099088952724970U, 295 },
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{ 11704190886730495818U, 322 }, { 17440603504673385349U, 348 },
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{ 12994262207056124023U, 375 }, { 9681479787123295682U, 402 },
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{ 14426529090290212157U, 428 }, { 10748601772107342003U, 455 },
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{ 16016664761464807395U, 481 }, { 11933345169920330789U, 508 },
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{ 17782069995880619868U, 534 }, { 13248674568444952270U, 561 },
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{ 9871031767461413346U, 588 }, { 14708983551653345445U, 614 },
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{ 10959046745042015199U, 641 }, { 16330252207878254650U, 667 },
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{ 12166986024289022870U, 694 }, { 18130221999122236476U, 720 },
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{ 13508068024458167312U, 747 }, { 10064294952495520794U, 774 },
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{ 14996968138956309548U, 800 }, { 11173611982879273257U, 827 },
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{ 16649979327439178909U, 853 }, { 12405201291620119593U, 880 },
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{ 9242595204427927429U, 907 }, { 13772540099066387757U, 933 },
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{ 10261342003245940623U, 960 }, { 15290591125556738113U, 986 },
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{ 11392378155556871081U, 1013 }, { 16975966327722178521U, 1039 },
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{ 12648080533535911531U, 1066 }
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};
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static Fp find_cachedpow10(int exp, int* k)
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{
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const double one_log_ten = 0.30102999566398114;
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int approx = -(exp + npowers) * one_log_ten;
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int idx = (approx - firstpower) / steppowers;
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while(1) {
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int current = exp + powers_ten[idx].exp + 64;
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if(current < expmin) {
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idx++;
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continue;
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}
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if(current > expmax) {
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idx--;
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continue;
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}
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*k = (firstpower + idx * steppowers);
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return powers_ten[idx];
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}
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}
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