| //! Cached exponents for basen values with 80-bit extended floats. |
| //! |
| //! Exact versions of base**n as an extended-precision float, with both |
| //! large and small powers. Use the large powers to minimize the amount |
| //! of compounded error. This is used in the Bellerophon algorithm. |
| //! |
| //! These values were calculated using Python, using the arbitrary-precision |
| //! integer to calculate exact extended-representation of each value. |
| //! These values are all normalized. |
| //! |
| //! DO NOT MODIFY: Generated by `etc/bellerophon_table.py` |
| |
| #![cfg(feature = "compact")] |
| #![doc(hidden)] |
| |
| use crate::bellerophon::BellerophonPowers; |
| |
| // HIGH LEVEL |
| // ---------- |
| |
| pub const BASE10_POWERS: BellerophonPowers = BellerophonPowers { |
| small: &BASE10_SMALL_MANTISSA, |
| large: &BASE10_LARGE_MANTISSA, |
| small_int: &BASE10_SMALL_INT_POWERS, |
| step: BASE10_STEP, |
| bias: BASE10_BIAS, |
| log2: BASE10_LOG2_MULT, |
| log2_shift: BASE10_LOG2_SHIFT, |
| }; |
| |
| // LOW-LEVEL |
| // --------- |
| |
| const BASE10_SMALL_MANTISSA: [u64; 10] = [ |
| 9223372036854775808, // 10^0 |
| 11529215046068469760, // 10^1 |
| 14411518807585587200, // 10^2 |
| 18014398509481984000, // 10^3 |
| 11258999068426240000, // 10^4 |
| 14073748835532800000, // 10^5 |
| 17592186044416000000, // 10^6 |
| 10995116277760000000, // 10^7 |
| 13743895347200000000, // 10^8 |
| 17179869184000000000, // 10^9 |
| ]; |
| const BASE10_LARGE_MANTISSA: [u64; 66] = [ |
| 11555125961253852697, // 10^-350 |
| 13451937075301367670, // 10^-340 |
| 15660115838168849784, // 10^-330 |
| 18230774251475056848, // 10^-320 |
| 10611707258198326947, // 10^-310 |
| 12353653155963782858, // 10^-300 |
| 14381545078898527261, // 10^-290 |
| 16742321987285426889, // 10^-280 |
| 9745314011399999080, // 10^-270 |
| 11345038669416679861, // 10^-260 |
| 13207363278391631158, // 10^-250 |
| 15375394465392026070, // 10^-240 |
| 17899314949046850752, // 10^-230 |
| 10418772551374772303, // 10^-220 |
| 12129047596099288555, // 10^-210 |
| 14120069793541087484, // 10^-200 |
| 16437924692338667210, // 10^-190 |
| 9568131466127621947, // 10^-180 |
| 11138771039116687545, // 10^-170 |
| 12967236152753102995, // 10^-160 |
| 15095849699286165408, // 10^-150 |
| 17573882009934360870, // 10^-140 |
| 10229345649675443343, // 10^-130 |
| 11908525658859223294, // 10^-120 |
| 13863348470604074297, // 10^-110 |
| 16139061738043178685, // 10^-100 |
| 9394170331095332911, // 10^-90 |
| 10936253623915059621, // 10^-80 |
| 12731474852090538039, // 10^-70 |
| 14821387422376473014, // 10^-60 |
| 17254365866976409468, // 10^-50 |
| 10043362776618689222, // 10^-40 |
| 11692013098647223345, // 10^-30 |
| 13611294676837538538, // 10^-20 |
| 15845632502852867518, // 10^-10 |
| 9223372036854775808, // 10^0 |
| 10737418240000000000, // 10^10 |
| 12500000000000000000, // 10^20 |
| 14551915228366851806, // 10^30 |
| 16940658945086006781, // 10^40 |
| 9860761315262647567, // 10^50 |
| 11479437019748901445, // 10^60 |
| 13363823550460978230, // 10^70 |
| 15557538194652854267, // 10^80 |
| 18111358157653424735, // 10^90 |
| 10542197943230523224, // 10^100 |
| 12272733663244316382, // 10^110 |
| 14287342391028437277, // 10^120 |
| 16632655625031838749, // 10^130 |
| 9681479787123295682, // 10^140 |
| 11270725851789228247, // 10^150 |
| 13120851772591970218, // 10^160 |
| 15274681817498023410, // 10^170 |
| 17782069995880619867, // 10^180 |
| 10350527006597618960, // 10^190 |
| 12049599325514420588, // 10^200 |
| 14027579833653779454, // 10^210 |
| 16330252207878254650, // 10^220 |
| 9505457831475799117, // 10^230 |
| 11065809325636130661, // 10^240 |
| 12882297539194266616, // 10^250 |
| 14996968138956309548, // 10^260 |
| 17458768723248864463, // 10^270 |
| 10162340898095201970, // 10^280 |
| 11830521861667747109, // 10^290 |
| 13772540099066387756, // 10^300 |
| ]; |
| const BASE10_SMALL_INT_POWERS: [u64; 10] = |
| [1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000]; |
| const BASE10_STEP: i32 = 10; |
| const BASE10_BIAS: i32 = 350; |
| const BASE10_LOG2_MULT: i64 = 217706; |
| const BASE10_LOG2_SHIFT: i32 = 16; |