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arangodb/lib/Basics/powers.h

127 lines
5.5 KiB
C

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