BigInteger shifting mapped to constants for an improved performance.
This commit is contained in:
mlemanczyk committed
1 parent
cc8bb98e2c
commit
dfd3f71f5d
4 files changed
+670
-9
No files matched your search
@@ -0,0 +1,387 @@
|
||||
using System.Numerics;
|
||||
using System.Runtime.CompilerServices;
|
||||
using BenchmarkDotNet.Attributes;
|
||||
using PerfectNumbers.Core;
|
||||
|
||||
namespace EvenPerfectBitScanner.Benchmarks
|
||||
{
|
||||
public class Pow2ProviderBigIntegerBenchmarks
|
||||
{
|
||||
[Benchmark(Baseline = true)]
|
||||
public BigInteger ByShifting()
|
||||
{
|
||||
BigInteger result = BigInteger.Zero;
|
||||
for (int i = 0; i <= 63; i++)
|
||||
{
|
||||
result = BigInteger.One << i;
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
|
||||
[Benchmark]
|
||||
public BigInteger ByMapping()
|
||||
{
|
||||
BigInteger result = BigInteger.Zero;
|
||||
for (int i = 0; i <= 63; i++)
|
||||
{
|
||||
result = Pow2Provider.BigInteger(i);
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
}
|
||||
|
||||
public class Pow2MinusOneeProviderBigIntegerBenchmarks
|
||||
{
|
||||
[Benchmark(Baseline = true)]
|
||||
public BigInteger ByShifting()
|
||||
{
|
||||
BigInteger result = BigInteger.Zero;
|
||||
for (int i = 0; i <= 63; i++)
|
||||
{
|
||||
result = (BigInteger.One << i) - BigInteger.One;
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
|
||||
[Benchmark]
|
||||
public BigInteger ByMapping()
|
||||
{
|
||||
BigInteger result = BigInteger.Zero;
|
||||
for (int i = 0; i <= 63; i++)
|
||||
{
|
||||
result = Pow2Provider.BigIntegerMinusOne(i);
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
}
|
||||
|
||||
public class Pow2ProviderULongBenchmarks
|
||||
{
|
||||
public static class ULongNumbers
|
||||
{
|
||||
public const ulong TwoMinusOne = 2L - 1L;
|
||||
public const ulong FourMinusOne = 4L - 1L;
|
||||
public const ulong EightMinusOne = 8L - 1L;
|
||||
public const ulong SixteenMinusOne = 16L - 1L;
|
||||
public const ulong ThirtyTwoMinusOne = 32L - 1L;
|
||||
public const ulong SixtyFourMinusOne = 64L - 1L;
|
||||
public const ulong OneHundredTwentyEightMinusOne = 128L - 1L;
|
||||
public const ulong TwoHundredFiftySixMinusOne = 256L - 1L;
|
||||
public const ulong FiveHundredTwelveMinusOne = 512L - 1L;
|
||||
public const ulong OneThousandTwentyFourMinusOne = 1_024L - 1L;
|
||||
public const ulong TwoThousandFortyEightMinusOne = 2_048L - 1L;
|
||||
public const ulong FourThousandNinetySixMinusOne = 4_096L - 1L;
|
||||
public const ulong EightThousandOneHundredNinetyTwoMinusOne = 8_192L - 1L;
|
||||
public const ulong SixteenThousandThreeHundredEightyFourMinusOne = 16_384L - 1L;
|
||||
public const ulong ThirtyTwoThousandSevenHundredSixtyEightMinusOne = 32_768L - 1L;
|
||||
public const ulong SixtyFiveThousandFiveHundredThirtySixMinusOne = 65_536L - 1L;
|
||||
public const ulong OneHundredThirtyOneThousandSeventyTwoMinusOne = 131_072L - 1L;
|
||||
public const ulong TwoHundredSixtyTwoThousandOneHundredFortyFourMinusOne = 262_144L - 1L;
|
||||
public const ulong FiveHundredTwentyFourThousandTwoHundredEightyEightMinusOne = 524_288L - 1L;
|
||||
public const ulong OneMillionFortyEightThousandFiveHundredSeventySixMinusOne = 1_048_576L - 1L;
|
||||
public const ulong TwoMillionNinetySevenThousandOneHundredFiftyTwoMinusOne = 2_097_152L - 1L;
|
||||
public const ulong FourMillionOneHundredNinetyFourThousandThreeHundredFourMinusOne = 4_194_304L - 1L;
|
||||
public const ulong EightMillionThreeHundredEightyEightThousandSixHundredEightMinusOne = 8_388_608L - 1L;
|
||||
public const ulong SixteenMillionSevenHundredSeventySevenThousandTwoHundredSixteenMinusOne = 16_777_216L - 1L;
|
||||
public const ulong ThirtyThreeMillionFiveHundredFiftyFourThousandFourHundredThirtyTwoMinusOne = 33_554_432L - 1L;
|
||||
public const ulong SixtySevenMillionOneHundredEightThousandEightHundredSixtyFourMinusOne = 67_108_864L - 1L;
|
||||
public const ulong OneHundredThirtyFourMillionTwoHundredSeventeenThousandSevenHundredTwentyEightMinusOne = 134_217_728L - 1L;
|
||||
public const ulong TwoHundredSixtyEightMillionFourHundredThirtyFiveThousandFourHundredFiftySixMinusOne = 268_435_456L - 1L;
|
||||
public const ulong FiveHundredThirtySixMillionEightHundredSeventyThousandNineHundredTwelveMinusOne = 536_870_912L - 1L;
|
||||
public const ulong OneBillionSeventyThreeMillionSevenHundredFortyOneThousandEightHundredTwentyFourMinusOne = 1_073_741_824L - 1L;
|
||||
public const ulong TwoBillionOneHundredFortySevenMillionFourHundredEightyThreeThousandSixHundredFortyEightMinusOne = 2_147_483_648L - 1L;
|
||||
public const ulong FourBillionTwoHundredNinetyFourMillionNineHundredSixtySevenThousandTwoHundredNinetySixMinusOne = 4_294_967_296L - 1L;
|
||||
public const ulong EightBillionFiveHundredEightyNineMillionNineHundredThirtyFourThousandFiveHundredNinetyTwoMinusOne = 8_589_934_592L - 1L;
|
||||
public const ulong SeventeenBillionOneHundredSeventyNineMillionEightHundredSixtyNineThousandOneHundredEightyFourMinusOne = 17_179_869_184L - 1L;
|
||||
public const ulong ThirtyFourBillionThreeHundredFiftyNineMillionSevenHundredThirtyEightThousandThreeHundredSixtyEightMinusOne = 34_359_738_368L - 1L;
|
||||
public const ulong SixtyEightBillionSevenHundredNineteenMillionFourHundredSeventySixThousandSevenHundredThirtySixMinusOne = 68_719_476_736L - 1L;
|
||||
public const ulong OneHundredThirtySevenBillionFourHundredThirtyEightMillionNineHundredFiftyThreeThousandFourHundredSeventyTwoMinusOne = 137_438_953_472L - 1L;
|
||||
public const ulong TwoHundredSeventyFourBillionEightHundredSeventySevenMillionNineHundredSixThousandNineHundredFortyFourMinusOne = 274_877_906_944L - 1L;
|
||||
public const ulong FiveHundredFortyNineBillionSevenHundredFiftyFiveMillionEightHundredThirteenThousandEightHundredEightyEightMinusOne = 549_755_813_888L - 1L;
|
||||
public const ulong OneTrillionNinetyNineBillionFiveHundredElevenMillionSixHundredTwentySevenThousandSevenHundredSeventySixMinusOne = 1_099_511_627_776L - 1L;
|
||||
public const ulong TwoTrillionOneHundredNinetyNineBillionTwentyThreeMillionTwoHundredFiftyFiveThousandFiveHundredFiftyTwoMinusOne = 2_199_023_255_552L - 1L;
|
||||
public const ulong FourTrillionThreeHundredNinetyEightBillionFortySixMillionFiveHundredElevenThousandOneHundredFourMinusOne = 4_398_046_511_104L - 1L;
|
||||
public const ulong EightTrillionSevenHundredNinetySixBillionNinetyThreeMillionTwentyTwoThousandTwoHundredEightMinusOne = 8_796_093_022_208L - 1L;
|
||||
public const ulong SeventeenTrillionFiveHundredNinetyTwoBillionOneHundredEightySixMillionFortyFourThousandFourHundredSixteenMinusOne = 17_592_186_044_416L - 1L;
|
||||
public const ulong ThirtyFiveTrillionOneHundredEightyFourBillionThreeHundredSeventyTwoMillionEightyEightThousandEightHundredThirtyTwoMinusOne = 35_184_372_088_832L - 1L;
|
||||
public const ulong SeventyTrillionThreeHundredSixtyEightBillionSevenHundredFortyFourMillionOneHundredSeventySevenThousandSixHundredSixtyFourMinusOne = 70_368_744_177_664L - 1L;
|
||||
public const ulong OneHundredFortyTrillionSevenHundredThirtySevenBillionFourHundredEightyEightMillionThreeHundredFiftyFiveThousandThreeHundredTwentyEightMinusOne = 140_737_488_355_328L - 1L;
|
||||
public const ulong TwoHundredEightyOneTrillionFourHundredSeventyFourBillionNineHundredSeventySixMillionSevenHundredTenThousandSixHundredFiftySixMinusOne = 281_474_976_710_656L - 1L;
|
||||
public const ulong FiveHundredSixtyTwoTrillionNineHundredFortyNineBillionNineHundredFiftyThreeMillionFourHundredTwentyOneThousandThreeHundredTwelveMinusOne = 562_949_953_421_312L - 1L;
|
||||
public const ulong OneQuadrillionOneHundredTwentyFiveTrillionEightHundredNinetyNineBillionNineHundredSixMillionEightHundredFortyTwoThousandSixHundredTwentyFourMinusOne = 1_125_899_906_842_624L - 1L;
|
||||
public const ulong TwoQuadrillionTwoHundredFiftyOneTrillionSevenHundredNinetyNineBillionEightHundredThirteenMillionSixHundredEightyFiveThousandTwoHundredFortyEightMinusOne = 2_251_799_813_685_248L - 1L;
|
||||
public const ulong FourQuadrillionFiveHundredThreeTrillionFiveHundredNinetyNineBillionSixHundredTwentySevenMillionThreeHundredSeventyThousandFourHundredNinetySixMinusOne = 4_503_599_627_370_496L - 1L;
|
||||
public const ulong NineQuadrillionSevenTrillionOneHundredNinetyNineBillionTwoHundredFiftyFourMillionSevenHundredFortyThousandNineHundredNinetyTwoMinusOne = 9_007_199_254_740_992L - 1L;
|
||||
public const ulong EighteenQuadrillionFourteenTrillionThreeHundredNinetyEightBillionFiveHundredEightMillionEightHundredEightyThousandOneHundredEightyFourMinusOne = 18_014_398_509_481_984L - 1L;
|
||||
public const ulong ThirtySixQuadrillionTwentyEightTrillionSevenHundredNinetySevenBillionSeventeenMillionSevenHundredSixtyThousandThreeHundredSixtyEightMinusOne = 36_028_797_018_963_968L - 1L;
|
||||
public const ulong SeventyTwoQuadrillionFiftySevenTrillionFiveHundredNinetyFourBillionThirtyFiveMillionFiveHundredTwentyThousandSevenHundredThirtySixMinusOne = 72_057_594_037_927_936L - 1L;
|
||||
public const ulong OneHundredFortyFourQuadrillionOneHundredFifteenTrillionOneHundredEightyEightBillionSeventyOneMillionFortyOneThousandFourHundredSeventyTwoMinusOne = 144_115_188_075_855_872L - 1L;
|
||||
public const ulong TwoHundredEightyEightQuadrillionTwoHundredThirtyTrillionThreeHundredSeventySixBillionOneHundredFortyTwoMillionEightyTwoThousandNineHundredFortyFourMinusOne = 288_230_376_151_711_744L - 1L;
|
||||
public const ulong FiveHundredSeventySixQuadrillionFourHundredSixtyTrillionSevenHundredFiftyTwoBillionTwoHundredEightyFourMillionOneHundredSixtyFiveThousandEightHundredEightyEightMinusOne = 576_460_752_303_423_488L - 1L;
|
||||
public const ulong OneQuintillionOneHundredFiftyTwoQuadrillionNineHundredTwentyOneTrillionFiveHundredFourBillionSixHundredSixtyEightMillionThreeHundredThirtyOneThousandSevenHundredSeventySixMinusOne = 1_152_921_504_606_846_976L - 1L;
|
||||
public const ulong TwoQuintillionThreeHundredFiveQuadrillionEightHundredFortyThreeTrillionNineBillionThreeHundredThirtySixMillionSixHundredSixtyThreeThousandFiveHundredFiftyTwoMinusOne = 2_305_843_009_213_693_952L - 1L;
|
||||
public const ulong FourQuintillionSixHundredElevenQuadrillionSixHundredEightySevenTrillionEightHundredSixteenBillionSixHundredSeventyThreeMillionTwoHundredTwentySevenThousandOneHundredFourMinusOne = 4_611_686_018_427_387_904L - 1L;
|
||||
public const ulong NineQuintillionTwoHundredTwentyThreeQuadrillionThreeHundredSeventyTwoTrillionThirtySixBillionEightHundredFiftyFourMillionSevenHundredSeventyFiveThousandEightHundredEightMinusOne = 9_223_372_036_854_775_808UL - 1UL;
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static ulong ULongMinusOne(int i) => i switch
|
||||
{
|
||||
0 => 0UL,
|
||||
1 => ULongNumbers.TwoMinusOne,
|
||||
2 => ULongNumbers.FourMinusOne,
|
||||
3 => ULongNumbers.EightMinusOne,
|
||||
4 => ULongNumbers.SixteenMinusOne,
|
||||
5 => ULongNumbers.ThirtyTwoMinusOne,
|
||||
6 => ULongNumbers.SixtyFourMinusOne,
|
||||
7 => ULongNumbers.OneHundredTwentyEightMinusOne,
|
||||
8 => ULongNumbers.TwoHundredFiftySixMinusOne,
|
||||
9 => ULongNumbers.FiveHundredTwelveMinusOne,
|
||||
10 => ULongNumbers.OneThousandTwentyFourMinusOne,
|
||||
11 => ULongNumbers.TwoThousandFortyEightMinusOne,
|
||||
12 => ULongNumbers.FourThousandNinetySixMinusOne,
|
||||
13 => ULongNumbers.EightThousandOneHundredNinetyTwoMinusOne,
|
||||
14 => ULongNumbers.SixteenThousandThreeHundredEightyFourMinusOne,
|
||||
15 => ULongNumbers.ThirtyTwoThousandSevenHundredSixtyEightMinusOne,
|
||||
16 => ULongNumbers.SixtyFiveThousandFiveHundredThirtySixMinusOne,
|
||||
17 => ULongNumbers.OneHundredThirtyOneThousandSeventyTwoMinusOne,
|
||||
18 => ULongNumbers.TwoHundredSixtyTwoThousandOneHundredFortyFourMinusOne,
|
||||
19 => ULongNumbers.FiveHundredTwentyFourThousandTwoHundredEightyEightMinusOne,
|
||||
20 => ULongNumbers.OneMillionFortyEightThousandFiveHundredSeventySixMinusOne,
|
||||
21 => ULongNumbers.TwoMillionNinetySevenThousandOneHundredFiftyTwoMinusOne,
|
||||
22 => ULongNumbers.FourMillionOneHundredNinetyFourThousandThreeHundredFourMinusOne,
|
||||
23 => ULongNumbers.EightMillionThreeHundredEightyEightThousandSixHundredEightMinusOne,
|
||||
24 => ULongNumbers.SixteenMillionSevenHundredSeventySevenThousandTwoHundredSixteenMinusOne,
|
||||
25 => ULongNumbers.ThirtyThreeMillionFiveHundredFiftyFourThousandFourHundredThirtyTwoMinusOne,
|
||||
26 => ULongNumbers.SixtySevenMillionOneHundredEightThousandEightHundredSixtyFourMinusOne,
|
||||
27 => ULongNumbers.OneHundredThirtyFourMillionTwoHundredSeventeenThousandSevenHundredTwentyEightMinusOne,
|
||||
28 => ULongNumbers.TwoHundredSixtyEightMillionFourHundredThirtyFiveThousandFourHundredFiftySixMinusOne,
|
||||
29 => ULongNumbers.FiveHundredThirtySixMillionEightHundredSeventyThousandNineHundredTwelveMinusOne,
|
||||
30 => ULongNumbers.OneBillionSeventyThreeMillionSevenHundredFortyOneThousandEightHundredTwentyFourMinusOne,
|
||||
31 => ULongNumbers.TwoBillionOneHundredFortySevenMillionFourHundredEightyThreeThousandSixHundredFortyEightMinusOne,
|
||||
32 => ULongNumbers.FourBillionTwoHundredNinetyFourMillionNineHundredSixtySevenThousandTwoHundredNinetySixMinusOne,
|
||||
33 => ULongNumbers.EightBillionFiveHundredEightyNineMillionNineHundredThirtyFourThousandFiveHundredNinetyTwoMinusOne,
|
||||
34 => ULongNumbers.SeventeenBillionOneHundredSeventyNineMillionEightHundredSixtyNineThousandOneHundredEightyFourMinusOne,
|
||||
35 => ULongNumbers.ThirtyFourBillionThreeHundredFiftyNineMillionSevenHundredThirtyEightThousandThreeHundredSixtyEightMinusOne,
|
||||
36 => ULongNumbers.SixtyEightBillionSevenHundredNineteenMillionFourHundredSeventySixThousandSevenHundredThirtySixMinusOne,
|
||||
37 => ULongNumbers.OneHundredThirtySevenBillionFourHundredThirtyEightMillionNineHundredFiftyThreeThousandFourHundredSeventyTwoMinusOne,
|
||||
38 => ULongNumbers.TwoHundredSeventyFourBillionEightHundredSeventySevenMillionNineHundredSixThousandNineHundredFortyFourMinusOne,
|
||||
39 => ULongNumbers.FiveHundredFortyNineBillionSevenHundredFiftyFiveMillionEightHundredThirteenThousandEightHundredEightyEightMinusOne,
|
||||
40 => ULongNumbers.OneTrillionNinetyNineBillionFiveHundredElevenMillionSixHundredTwentySevenThousandSevenHundredSeventySixMinusOne,
|
||||
41 => ULongNumbers.TwoTrillionOneHundredNinetyNineBillionTwentyThreeMillionTwoHundredFiftyFiveThousandFiveHundredFiftyTwoMinusOne,
|
||||
42 => ULongNumbers.FourTrillionThreeHundredNinetyEightBillionFortySixMillionFiveHundredElevenThousandOneHundredFourMinusOne,
|
||||
43 => ULongNumbers.EightTrillionSevenHundredNinetySixBillionNinetyThreeMillionTwentyTwoThousandTwoHundredEightMinusOne,
|
||||
44 => ULongNumbers.SeventeenTrillionFiveHundredNinetyTwoBillionOneHundredEightySixMillionFortyFourThousandFourHundredSixteenMinusOne,
|
||||
45 => ULongNumbers.ThirtyFiveTrillionOneHundredEightyFourBillionThreeHundredSeventyTwoMillionEightyEightThousandEightHundredThirtyTwoMinusOne,
|
||||
46 => ULongNumbers.SeventyTrillionThreeHundredSixtyEightBillionSevenHundredFortyFourMillionOneHundredSeventySevenThousandSixHundredSixtyFourMinusOne,
|
||||
47 => ULongNumbers.OneHundredFortyTrillionSevenHundredThirtySevenBillionFourHundredEightyEightMillionThreeHundredFiftyFiveThousandThreeHundredTwentyEightMinusOne,
|
||||
48 => ULongNumbers.TwoHundredEightyOneTrillionFourHundredSeventyFourBillionNineHundredSeventySixMillionSevenHundredTenThousandSixHundredFiftySixMinusOne,
|
||||
49 => ULongNumbers.FiveHundredSixtyTwoTrillionNineHundredFortyNineBillionNineHundredFiftyThreeMillionFourHundredTwentyOneThousandThreeHundredTwelveMinusOne,
|
||||
50 => ULongNumbers.OneQuadrillionOneHundredTwentyFiveTrillionEightHundredNinetyNineBillionNineHundredSixMillionEightHundredFortyTwoThousandSixHundredTwentyFourMinusOne,
|
||||
51 => ULongNumbers.TwoQuadrillionTwoHundredFiftyOneTrillionSevenHundredNinetyNineBillionEightHundredThirteenMillionSixHundredEightyFiveThousandTwoHundredFortyEightMinusOne,
|
||||
52 => ULongNumbers.FourQuadrillionFiveHundredThreeTrillionFiveHundredNinetyNineBillionSixHundredTwentySevenMillionThreeHundredSeventyThousandFourHundredNinetySixMinusOne,
|
||||
53 => ULongNumbers.NineQuadrillionSevenTrillionOneHundredNinetyNineBillionTwoHundredFiftyFourMillionSevenHundredFortyThousandNineHundredNinetyTwoMinusOne,
|
||||
54 => ULongNumbers.EighteenQuadrillionFourteenTrillionThreeHundredNinetyEightBillionFiveHundredEightMillionEightHundredEightyThousandOneHundredEightyFourMinusOne,
|
||||
55 => ULongNumbers.ThirtySixQuadrillionTwentyEightTrillionSevenHundredNinetySevenBillionSeventeenMillionSevenHundredSixtyThousandThreeHundredSixtyEightMinusOne,
|
||||
56 => ULongNumbers.SeventyTwoQuadrillionFiftySevenTrillionFiveHundredNinetyFourBillionThirtyFiveMillionFiveHundredTwentyThousandSevenHundredThirtySixMinusOne,
|
||||
57 => ULongNumbers.OneHundredFortyFourQuadrillionOneHundredFifteenTrillionOneHundredEightyEightBillionSeventyOneMillionFortyOneThousandFourHundredSeventyTwoMinusOne,
|
||||
58 => ULongNumbers.TwoHundredEightyEightQuadrillionTwoHundredThirtyTrillionThreeHundredSeventySixBillionOneHundredFortyTwoMillionEightyTwoThousandNineHundredFortyFourMinusOne,
|
||||
59 => ULongNumbers.FiveHundredSeventySixQuadrillionFourHundredSixtyTrillionSevenHundredFiftyTwoBillionTwoHundredEightyFourMillionOneHundredSixtyFiveThousandEightHundredEightyEightMinusOne,
|
||||
60 => ULongNumbers.OneQuintillionOneHundredFiftyTwoQuadrillionNineHundredTwentyOneTrillionFiveHundredFourBillionSixHundredSixtyEightMillionThreeHundredThirtyOneThousandSevenHundredSeventySixMinusOne,
|
||||
61 => ULongNumbers.TwoQuintillionThreeHundredFiveQuadrillionEightHundredFortyThreeTrillionNineBillionThreeHundredThirtySixMillionSixHundredSixtyThreeThousandFiveHundredFiftyTwoMinusOne,
|
||||
62 => ULongNumbers.FourQuintillionSixHundredElevenQuadrillionSixHundredEightySevenTrillionEightHundredSixteenBillionSixHundredSeventyThreeMillionTwoHundredTwentySevenThousandOneHundredFourMinusOne,
|
||||
63 => ULongNumbers.NineQuintillionTwoHundredTwentyThreeQuadrillionThreeHundredSeventyTwoTrillionThirtySixBillionEightHundredFiftyFourMillionSevenHundredSeventyFiveThousandEightHundredEightMinusOne,
|
||||
_ => throw new ArgumentOutOfRangeException(nameof(i)),
|
||||
};
|
||||
|
||||
[Benchmark(Baseline = true)]
|
||||
public ulong ByShifting()
|
||||
{
|
||||
ulong result = 0UL;
|
||||
for (int i = 0; i <= 63; i++)
|
||||
{
|
||||
result = (1UL << i) - 1UL;
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
|
||||
[Benchmark]
|
||||
public ulong ByMapping()
|
||||
{
|
||||
ulong result = 0UL;
|
||||
for (int i = 0; i <= 63; i++)
|
||||
{
|
||||
result = ULongMinusOne(i);
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
}
|
||||
|
||||
public class Pow2ProviderLongBenchmarks
|
||||
{
|
||||
public static class LongNumbers
|
||||
{
|
||||
public const long TwoMinusOne = 2L - 1L;
|
||||
public const long FourMinusOne = 4L - 1L;
|
||||
public const long EightMinusOne = 8L - 1L;
|
||||
public const long SixteenMinusOne = 16L - 1L;
|
||||
public const long ThirtyTwoMinusOne = 32L - 1L;
|
||||
public const long SixtyFourMinusOne = 64L - 1L;
|
||||
public const long OneHundredTwentyEightMinusOne = 128L - 1L;
|
||||
public const long TwoHundredFiftySixMinusOne = 256L - 1L;
|
||||
public const long FiveHundredTwelveMinusOne = 512L - 1L;
|
||||
public const long OneThousandTwentyFourMinusOne = 1_024L - 1L;
|
||||
public const long TwoThousandFortyEightMinusOne = 2_048L - 1L;
|
||||
public const long FourThousandNinetySixMinusOne = 4_096L - 1L;
|
||||
public const long EightThousandOneHundredNinetyTwoMinusOne = 8_192L - 1L;
|
||||
public const long SixteenThousandThreeHundredEightyFourMinusOne = 16_384L - 1L;
|
||||
public const long ThirtyTwoThousandSevenHundredSixtyEightMinusOne = 32_768L - 1L;
|
||||
public const long SixtyFiveThousandFiveHundredThirtySixMinusOne = 65_536L - 1L;
|
||||
public const long OneHundredThirtyOneThousandSeventyTwoMinusOne = 131_072L - 1L;
|
||||
public const long TwoHundredSixtyTwoThousandOneHundredFortyFourMinusOne = 262_144L - 1L;
|
||||
public const long FiveHundredTwentyFourThousandTwoHundredEightyEightMinusOne = 524_288L - 1L;
|
||||
public const long OneMillionFortyEightThousandFiveHundredSeventySixMinusOne = 1_048_576L - 1L;
|
||||
public const long TwoMillionNinetySevenThousandOneHundredFiftyTwoMinusOne = 2_097_152L - 1L;
|
||||
public const long FourMillionOneHundredNinetyFourThousandThreeHundredFourMinusOne = 4_194_304L - 1L;
|
||||
public const long EightMillionThreeHundredEightyEightThousandSixHundredEightMinusOne = 8_388_608L - 1L;
|
||||
public const long SixteenMillionSevenHundredSeventySevenThousandTwoHundredSixteenMinusOne = 16_777_216L - 1L;
|
||||
public const long ThirtyThreeMillionFiveHundredFiftyFourThousandFourHundredThirtyTwoMinusOne = 33_554_432L - 1L;
|
||||
public const long SixtySevenMillionOneHundredEightThousandEightHundredSixtyFourMinusOne = 67_108_864L - 1L;
|
||||
public const long OneHundredThirtyFourMillionTwoHundredSeventeenThousandSevenHundredTwentyEightMinusOne = 134_217_728L - 1L;
|
||||
public const long TwoHundredSixtyEightMillionFourHundredThirtyFiveThousandFourHundredFiftySixMinusOne = 268_435_456L - 1L;
|
||||
public const long FiveHundredThirtySixMillionEightHundredSeventyThousandNineHundredTwelveMinusOne = 536_870_912L - 1L;
|
||||
public const long OneBillionSeventyThreeMillionSevenHundredFortyOneThousandEightHundredTwentyFourMinusOne = 1_073_741_824L - 1L;
|
||||
public const long TwoBillionOneHundredFortySevenMillionFourHundredEightyThreeThousandSixHundredFortyEightMinusOne = 2_147_483_648L - 1L;
|
||||
public const long FourBillionTwoHundredNinetyFourMillionNineHundredSixtySevenThousandTwoHundredNinetySixMinusOne = 4_294_967_296L - 1L;
|
||||
public const long EightBillionFiveHundredEightyNineMillionNineHundredThirtyFourThousandFiveHundredNinetyTwoMinusOne = 8_589_934_592L - 1L;
|
||||
public const long SeventeenBillionOneHundredSeventyNineMillionEightHundredSixtyNineThousandOneHundredEightyFourMinusOne = 17_179_869_184L - 1L;
|
||||
public const long ThirtyFourBillionThreeHundredFiftyNineMillionSevenHundredThirtyEightThousandThreeHundredSixtyEightMinusOne = 34_359_738_368L - 1L;
|
||||
public const long SixtyEightBillionSevenHundredNineteenMillionFourHundredSeventySixThousandSevenHundredThirtySixMinusOne = 68_719_476_736L - 1L;
|
||||
public const long OneHundredThirtySevenBillionFourHundredThirtyEightMillionNineHundredFiftyThreeThousandFourHundredSeventyTwoMinusOne = 137_438_953_472L - 1L;
|
||||
public const long TwoHundredSeventyFourBillionEightHundredSeventySevenMillionNineHundredSixThousandNineHundredFortyFourMinusOne = 274_877_906_944L - 1L;
|
||||
public const long FiveHundredFortyNineBillionSevenHundredFiftyFiveMillionEightHundredThirteenThousandEightHundredEightyEightMinusOne = 549_755_813_888L - 1L;
|
||||
public const long OneTrillionNinetyNineBillionFiveHundredElevenMillionSixHundredTwentySevenThousandSevenHundredSeventySixMinusOne = 1_099_511_627_776L - 1L;
|
||||
public const long TwoTrillionOneHundredNinetyNineBillionTwentyThreeMillionTwoHundredFiftyFiveThousandFiveHundredFiftyTwoMinusOne = 2_199_023_255_552L - 1L;
|
||||
public const long FourTrillionThreeHundredNinetyEightBillionFortySixMillionFiveHundredElevenThousandOneHundredFourMinusOne = 4_398_046_511_104L - 1L;
|
||||
public const long EightTrillionSevenHundredNinetySixBillionNinetyThreeMillionTwentyTwoThousandTwoHundredEightMinusOne = 8_796_093_022_208L - 1L;
|
||||
public const long SeventeenTrillionFiveHundredNinetyTwoBillionOneHundredEightySixMillionFortyFourThousandFourHundredSixteenMinusOne = 17_592_186_044_416L - 1L;
|
||||
public const long ThirtyFiveTrillionOneHundredEightyFourBillionThreeHundredSeventyTwoMillionEightyEightThousandEightHundredThirtyTwoMinusOne = 35_184_372_088_832L - 1L;
|
||||
public const long SeventyTrillionThreeHundredSixtyEightBillionSevenHundredFortyFourMillionOneHundredSeventySevenThousandSixHundredSixtyFourMinusOne = 70_368_744_177_664L - 1L;
|
||||
public const long OneHundredFortyTrillionSevenHundredThirtySevenBillionFourHundredEightyEightMillionThreeHundredFiftyFiveThousandThreeHundredTwentyEightMinusOne = 140_737_488_355_328L - 1L;
|
||||
public const long TwoHundredEightyOneTrillionFourHundredSeventyFourBillionNineHundredSeventySixMillionSevenHundredTenThousandSixHundredFiftySixMinusOne = 281_474_976_710_656L - 1L;
|
||||
public const long FiveHundredSixtyTwoTrillionNineHundredFortyNineBillionNineHundredFiftyThreeMillionFourHundredTwentyOneThousandThreeHundredTwelveMinusOne = 562_949_953_421_312L - 1L;
|
||||
public const long OneQuadrillionOneHundredTwentyFiveTrillionEightHundredNinetyNineBillionNineHundredSixMillionEightHundredFortyTwoThousandSixHundredTwentyFourMinusOne = 1_125_899_906_842_624L - 1L;
|
||||
public const long TwoQuadrillionTwoHundredFiftyOneTrillionSevenHundredNinetyNineBillionEightHundredThirteenMillionSixHundredEightyFiveThousandTwoHundredFortyEightMinusOne = 2_251_799_813_685_248L - 1L;
|
||||
public const long FourQuadrillionFiveHundredThreeTrillionFiveHundredNinetyNineBillionSixHundredTwentySevenMillionThreeHundredSeventyThousandFourHundredNinetySixMinusOne = 4_503_599_627_370_496L - 1L;
|
||||
public const long NineQuadrillionSevenTrillionOneHundredNinetyNineBillionTwoHundredFiftyFourMillionSevenHundredFortyThousandNineHundredNinetyTwoMinusOne = 9_007_199_254_740_992L - 1L;
|
||||
public const long EighteenQuadrillionFourteenTrillionThreeHundredNinetyEightBillionFiveHundredEightMillionEightHundredEightyThousandOneHundredEightyFourMinusOne = 18_014_398_509_481_984L - 1L;
|
||||
public const long ThirtySixQuadrillionTwentyEightTrillionSevenHundredNinetySevenBillionSeventeenMillionSevenHundredSixtyThousandThreeHundredSixtyEightMinusOne = 36_028_797_018_963_968L - 1L;
|
||||
public const long SeventyTwoQuadrillionFiftySevenTrillionFiveHundredNinetyFourBillionThirtyFiveMillionFiveHundredTwentyThousandSevenHundredThirtySixMinusOne = 72_057_594_037_927_936L - 1L;
|
||||
public const long OneHundredFortyFourQuadrillionOneHundredFifteenTrillionOneHundredEightyEightBillionSeventyOneMillionFortyOneThousandFourHundredSeventyTwoMinusOne = 144_115_188_075_855_872L - 1L;
|
||||
public const long TwoHundredEightyEightQuadrillionTwoHundredThirtyTrillionThreeHundredSeventySixBillionOneHundredFortyTwoMillionEightyTwoThousandNineHundredFortyFourMinusOne = 288_230_376_151_711_744L - 1L;
|
||||
public const long FiveHundredSeventySixQuadrillionFourHundredSixtyTrillionSevenHundredFiftyTwoBillionTwoHundredEightyFourMillionOneHundredSixtyFiveThousandEightHundredEightyEightMinusOne = 576_460_752_303_423_488L - 1L;
|
||||
public const long OneQuintillionOneHundredFiftyTwoQuadrillionNineHundredTwentyOneTrillionFiveHundredFourBillionSixHundredSixtyEightMillionThreeHundredThirtyOneThousandSevenHundredSeventySixMinusOne = 1_152_921_504_606_846_976L - 1L;
|
||||
public const long TwoQuintillionThreeHundredFiveQuadrillionEightHundredFortyThreeTrillionNineBillionThreeHundredThirtySixMillionSixHundredSixtyThreeThousandFiveHundredFiftyTwoMinusOne = 2_305_843_009_213_693_952L - 1L;
|
||||
public const long FourQuintillionSixHundredElevenQuadrillionSixHundredEightySevenTrillionEightHundredSixteenBillionSixHundredSeventyThreeMillionTwoHundredTwentySevenThousandOneHundredFourMinusOne = 4_611_686_018_427_387_904L - 1L;
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
|
||||
public static long LongMinusOne(int i) => i switch
|
||||
{
|
||||
0 => 0L,
|
||||
1 => LongNumbers.TwoMinusOne,
|
||||
2 => LongNumbers.FourMinusOne,
|
||||
3 => LongNumbers.EightMinusOne,
|
||||
4 => LongNumbers.SixteenMinusOne,
|
||||
5 => LongNumbers.ThirtyTwoMinusOne,
|
||||
6 => LongNumbers.SixtyFourMinusOne,
|
||||
7 => LongNumbers.OneHundredTwentyEightMinusOne,
|
||||
8 => LongNumbers.TwoHundredFiftySixMinusOne,
|
||||
9 => LongNumbers.FiveHundredTwelveMinusOne,
|
||||
10 => LongNumbers.OneThousandTwentyFourMinusOne,
|
||||
11 => LongNumbers.TwoThousandFortyEightMinusOne,
|
||||
12 => LongNumbers.FourThousandNinetySixMinusOne,
|
||||
13 => LongNumbers.EightThousandOneHundredNinetyTwoMinusOne,
|
||||
14 => LongNumbers.SixteenThousandThreeHundredEightyFourMinusOne,
|
||||
15 => LongNumbers.ThirtyTwoThousandSevenHundredSixtyEightMinusOne,
|
||||
16 => LongNumbers.SixtyFiveThousandFiveHundredThirtySixMinusOne,
|
||||
17 => LongNumbers.OneHundredThirtyOneThousandSeventyTwoMinusOne,
|
||||
18 => LongNumbers.TwoHundredSixtyTwoThousandOneHundredFortyFourMinusOne,
|
||||
19 => LongNumbers.FiveHundredTwentyFourThousandTwoHundredEightyEightMinusOne,
|
||||
20 => LongNumbers.OneMillionFortyEightThousandFiveHundredSeventySixMinusOne,
|
||||
21 => LongNumbers.TwoMillionNinetySevenThousandOneHundredFiftyTwoMinusOne,
|
||||
22 => LongNumbers.FourMillionOneHundredNinetyFourThousandThreeHundredFourMinusOne,
|
||||
23 => LongNumbers.EightMillionThreeHundredEightyEightThousandSixHundredEightMinusOne,
|
||||
24 => LongNumbers.SixteenMillionSevenHundredSeventySevenThousandTwoHundredSixteenMinusOne,
|
||||
25 => LongNumbers.ThirtyThreeMillionFiveHundredFiftyFourThousandFourHundredThirtyTwoMinusOne,
|
||||
26 => LongNumbers.SixtySevenMillionOneHundredEightThousandEightHundredSixtyFourMinusOne,
|
||||
27 => LongNumbers.OneHundredThirtyFourMillionTwoHundredSeventeenThousandSevenHundredTwentyEightMinusOne,
|
||||
28 => LongNumbers.TwoHundredSixtyEightMillionFourHundredThirtyFiveThousandFourHundredFiftySixMinusOne,
|
||||
29 => LongNumbers.FiveHundredThirtySixMillionEightHundredSeventyThousandNineHundredTwelveMinusOne,
|
||||
30 => LongNumbers.OneBillionSeventyThreeMillionSevenHundredFortyOneThousandEightHundredTwentyFourMinusOne,
|
||||
31 => LongNumbers.TwoBillionOneHundredFortySevenMillionFourHundredEightyThreeThousandSixHundredFortyEightMinusOne,
|
||||
32 => LongNumbers.FourBillionTwoHundredNinetyFourMillionNineHundredSixtySevenThousandTwoHundredNinetySixMinusOne,
|
||||
33 => LongNumbers.EightBillionFiveHundredEightyNineMillionNineHundredThirtyFourThousandFiveHundredNinetyTwoMinusOne,
|
||||
34 => LongNumbers.SeventeenBillionOneHundredSeventyNineMillionEightHundredSixtyNineThousandOneHundredEightyFourMinusOne,
|
||||
35 => LongNumbers.ThirtyFourBillionThreeHundredFiftyNineMillionSevenHundredThirtyEightThousandThreeHundredSixtyEightMinusOne,
|
||||
36 => LongNumbers.SixtyEightBillionSevenHundredNineteenMillionFourHundredSeventySixThousandSevenHundredThirtySixMinusOne,
|
||||
37 => LongNumbers.OneHundredThirtySevenBillionFourHundredThirtyEightMillionNineHundredFiftyThreeThousandFourHundredSeventyTwoMinusOne,
|
||||
38 => LongNumbers.TwoHundredSeventyFourBillionEightHundredSeventySevenMillionNineHundredSixThousandNineHundredFortyFourMinusOne,
|
||||
39 => LongNumbers.FiveHundredFortyNineBillionSevenHundredFiftyFiveMillionEightHundredThirteenThousandEightHundredEightyEightMinusOne,
|
||||
40 => LongNumbers.OneTrillionNinetyNineBillionFiveHundredElevenMillionSixHundredTwentySevenThousandSevenHundredSeventySixMinusOne,
|
||||
41 => LongNumbers.TwoTrillionOneHundredNinetyNineBillionTwentyThreeMillionTwoHundredFiftyFiveThousandFiveHundredFiftyTwoMinusOne,
|
||||
42 => LongNumbers.FourTrillionThreeHundredNinetyEightBillionFortySixMillionFiveHundredElevenThousandOneHundredFourMinusOne,
|
||||
43 => LongNumbers.EightTrillionSevenHundredNinetySixBillionNinetyThreeMillionTwentyTwoThousandTwoHundredEightMinusOne,
|
||||
44 => LongNumbers.SeventeenTrillionFiveHundredNinetyTwoBillionOneHundredEightySixMillionFortyFourThousandFourHundredSixteenMinusOne,
|
||||
45 => LongNumbers.ThirtyFiveTrillionOneHundredEightyFourBillionThreeHundredSeventyTwoMillionEightyEightThousandEightHundredThirtyTwoMinusOne,
|
||||
46 => LongNumbers.SeventyTrillionThreeHundredSixtyEightBillionSevenHundredFortyFourMillionOneHundredSeventySevenThousandSixHundredSixtyFourMinusOne,
|
||||
47 => LongNumbers.OneHundredFortyTrillionSevenHundredThirtySevenBillionFourHundredEightyEightMillionThreeHundredFiftyFiveThousandThreeHundredTwentyEightMinusOne,
|
||||
48 => LongNumbers.TwoHundredEightyOneTrillionFourHundredSeventyFourBillionNineHundredSeventySixMillionSevenHundredTenThousandSixHundredFiftySixMinusOne,
|
||||
49 => LongNumbers.FiveHundredSixtyTwoTrillionNineHundredFortyNineBillionNineHundredFiftyThreeMillionFourHundredTwentyOneThousandThreeHundredTwelveMinusOne,
|
||||
50 => LongNumbers.OneQuadrillionOneHundredTwentyFiveTrillionEightHundredNinetyNineBillionNineHundredSixMillionEightHundredFortyTwoThousandSixHundredTwentyFourMinusOne,
|
||||
51 => LongNumbers.TwoQuadrillionTwoHundredFiftyOneTrillionSevenHundredNinetyNineBillionEightHundredThirteenMillionSixHundredEightyFiveThousandTwoHundredFortyEightMinusOne,
|
||||
52 => LongNumbers.FourQuadrillionFiveHundredThreeTrillionFiveHundredNinetyNineBillionSixHundredTwentySevenMillionThreeHundredSeventyThousandFourHundredNinetySixMinusOne,
|
||||
53 => LongNumbers.NineQuadrillionSevenTrillionOneHundredNinetyNineBillionTwoHundredFiftyFourMillionSevenHundredFortyThousandNineHundredNinetyTwoMinusOne,
|
||||
54 => LongNumbers.EighteenQuadrillionFourteenTrillionThreeHundredNinetyEightBillionFiveHundredEightMillionEightHundredEightyThousandOneHundredEightyFourMinusOne,
|
||||
55 => LongNumbers.ThirtySixQuadrillionTwentyEightTrillionSevenHundredNinetySevenBillionSeventeenMillionSevenHundredSixtyThousandThreeHundredSixtyEightMinusOne,
|
||||
56 => LongNumbers.SeventyTwoQuadrillionFiftySevenTrillionFiveHundredNinetyFourBillionThirtyFiveMillionFiveHundredTwentyThousandSevenHundredThirtySixMinusOne,
|
||||
57 => LongNumbers.OneHundredFortyFourQuadrillionOneHundredFifteenTrillionOneHundredEightyEightBillionSeventyOneMillionFortyOneThousandFourHundredSeventyTwoMinusOne,
|
||||
58 => LongNumbers.TwoHundredEightyEightQuadrillionTwoHundredThirtyTrillionThreeHundredSeventySixBillionOneHundredFortyTwoMillionEightyTwoThousandNineHundredFortyFourMinusOne,
|
||||
59 => LongNumbers.FiveHundredSeventySixQuadrillionFourHundredSixtyTrillionSevenHundredFiftyTwoBillionTwoHundredEightyFourMillionOneHundredSixtyFiveThousandEightHundredEightyEightMinusOne,
|
||||
60 => LongNumbers.OneQuintillionOneHundredFiftyTwoQuadrillionNineHundredTwentyOneTrillionFiveHundredFourBillionSixHundredSixtyEightMillionThreeHundredThirtyOneThousandSevenHundredSeventySixMinusOne,
|
||||
61 => LongNumbers.TwoQuintillionThreeHundredFiveQuadrillionEightHundredFortyThreeTrillionNineBillionThreeHundredThirtySixMillionSixHundredSixtyThreeThousandFiveHundredFiftyTwoMinusOne,
|
||||
62 => LongNumbers.FourQuintillionSixHundredElevenQuadrillionSixHundredEightySevenTrillionEightHundredSixteenBillionSixHundredSeventyThreeMillionTwoHundredTwentySevenThousandOneHundredFourMinusOne,
|
||||
_ => throw new ArgumentOutOfRangeException(nameof(i)),
|
||||
};
|
||||
|
||||
[Benchmark(Baseline = true)]
|
||||
public long ByShifting()
|
||||
{
|
||||
long result = 0L;
|
||||
for (int i = 0; i <= 62; i++)
|
||||
{
|
||||
result = (1L << i) - 1L;
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
|
||||
[Benchmark]
|
||||
public long ByMapping()
|
||||
{
|
||||
long result = 0L;
|
||||
for (int i = 0; i <= 62; i++)
|
||||
{
|
||||
result = LongMinusOne(i);
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -6,10 +6,138 @@ namespace PerfectNumbers.Core
|
||||
{
|
||||
public static readonly BigInteger OneShiftedLeft63 = BigInteger.One << 63;
|
||||
public static readonly BigInteger OneShiftedLeft256MinusOne = (BigInteger.One << 256) - BigInteger.One;
|
||||
public static readonly BigInteger Two = (BigInteger)2;
|
||||
public static readonly BigInteger UlongMaxValue = (BigInteger)ulong.MaxValue;
|
||||
public static readonly BigInteger UlongMaxValuePlusOne = UlongMaxValue + BigInteger.One;
|
||||
public static readonly BigInteger UInt128MaxValue = (BigInteger)UInt128.MaxValue;
|
||||
public static readonly BigInteger UInt128MaxValuePlusOne = UInt128MaxValue + BigInteger.One;
|
||||
|
||||
public static readonly BigInteger Two = 2UL;
|
||||
public static readonly BigInteger Pow2Exact2 = 4UL;
|
||||
public static readonly BigInteger Pow2Exact3 = 8UL;
|
||||
public static readonly BigInteger Pow2Exact4 = 16UL;
|
||||
public static readonly BigInteger Pow2Exact5 = 32UL;
|
||||
public static readonly BigInteger Pow2Exact6 = 64UL;
|
||||
public static readonly BigInteger Pow2Exact7 = 128UL;
|
||||
public static readonly BigInteger Pow2Exact8 = 256UL;
|
||||
public static readonly BigInteger Pow2Exact9 = 512UL;
|
||||
public static readonly BigInteger Pow2Exact10 = 1_024UL;
|
||||
public static readonly BigInteger Pow2Exact11 = 2_048UL;
|
||||
public static readonly BigInteger Pow2Exact12 = 4_096UL;
|
||||
public static readonly BigInteger Pow2Exact13 = 8_192UL;
|
||||
public static readonly BigInteger Pow2Exact14 = 16_384UL;
|
||||
public static readonly BigInteger Pow2Exact15 = 32_768UL;
|
||||
public static readonly BigInteger Pow2Exact16 = 65_536UL;
|
||||
public static readonly BigInteger Pow2Exact17 = 131_072UL;
|
||||
public static readonly BigInteger Pow2Exact18 = 262_144UL;
|
||||
public static readonly BigInteger Pow2Exact19 = 524_288UL;
|
||||
public static readonly BigInteger Pow2Exact20 = 1_048_576UL;
|
||||
public static readonly BigInteger Pow2Exact21 = 2_097_152UL;
|
||||
public static readonly BigInteger Pow2Exact22 = 4_194_304UL;
|
||||
public static readonly BigInteger Pow2Exact23 = 8_388_608UL;
|
||||
public static readonly BigInteger Pow2Exact24 = 16_777_216UL;
|
||||
public static readonly BigInteger Pow2Exact25 = 33_554_432UL;
|
||||
public static readonly BigInteger Pow2Exact26 = 67_108_864UL;
|
||||
public static readonly BigInteger Pow2Exact27 = 134_217_728UL;
|
||||
public static readonly BigInteger Pow2Exact28 = 268_435_456UL;
|
||||
public static readonly BigInteger Pow2Exact29 = 536_870_912UL;
|
||||
public static readonly BigInteger Pow2Exact30 = 1_073_741_824UL;
|
||||
public static readonly BigInteger Pow2Exact31 = 2_147_483_648UL;
|
||||
public static readonly BigInteger Pow2Exact32 = 4_294_967_296UL;
|
||||
public static readonly BigInteger Pow2Exact33 = 8_589_934_592UL;
|
||||
public static readonly BigInteger Pow2Exact34 = 17_179_869_184UL;
|
||||
public static readonly BigInteger Pow2Exact35 = 34_359_738_368UL;
|
||||
public static readonly BigInteger Pow2Exact36 = 68_719_476_736UL;
|
||||
public static readonly BigInteger Pow2Exact37 = 137_438_953_472UL;
|
||||
public static readonly BigInteger Pow2Exact38 = 274_877_906_944UL;
|
||||
public static readonly BigInteger Pow2Exact39 = 549_755_813_888UL;
|
||||
public static readonly BigInteger Pow2Exact40 = 1_099_511_627_776UL;
|
||||
public static readonly BigInteger Pow2Exact41 = 2_199_023_255_552UL;
|
||||
public static readonly BigInteger Pow2Exact42 = 4_398_046_511_104UL;
|
||||
public static readonly BigInteger Pow2Exact43 = 8_796_093_022_208UL;
|
||||
public static readonly BigInteger Pow2Exact44 = 17_592_186_044_416UL;
|
||||
public static readonly BigInteger Pow2Exact45 = 35_184_372_088_832UL;
|
||||
public static readonly BigInteger Pow2Exact46 = 70_368_744_177_664UL;
|
||||
public static readonly BigInteger Pow2Exact47 = 140_737_488_355_328UL;
|
||||
public static readonly BigInteger Pow2Exact48 = 281_474_976_710_656UL;
|
||||
public static readonly BigInteger Pow2Exact49 = 562_949_953_421_312UL;
|
||||
public static readonly BigInteger Pow2Exact50 = 1_125_899_906_842_624UL;
|
||||
public static readonly BigInteger Pow2Exact51 = 2_251_799_813_685_248UL;
|
||||
public static readonly BigInteger Pow2Exact52 = 4_503_599_627_370_496UL;
|
||||
public static readonly BigInteger Pow2Exact53 = 9_007_199_254_740_992UL;
|
||||
public static readonly BigInteger Pow2Exact54 = 18_014_398_509_481_984UL;
|
||||
public static readonly BigInteger Pow2Exact55 = 36_028_797_018_963_968UL;
|
||||
public static readonly BigInteger Pow2Exact56 = 72_057_594_037_927_936UL;
|
||||
public static readonly BigInteger Pow2Exact57 = 144_115_188_075_855_872UL;
|
||||
public static readonly BigInteger Pow2Exact58 = 288_230_376_151_711_744UL;
|
||||
public static readonly BigInteger Pow2Exact59 = 576_460_752_303_423_488UL;
|
||||
public static readonly BigInteger Pow2Exact60 = 1_152_921_504_606_846_976UL;
|
||||
public static readonly BigInteger Pow2Exact61 = 2_305_843_009_213_693_952UL;
|
||||
public static readonly BigInteger Pow2Exact62 = 4_611_686_018_427_387_904UL;
|
||||
public static readonly BigInteger Pow2Exact63 = 9_223_372_036_854_775_808UL;
|
||||
|
||||
public static readonly BigInteger Pow2MinusOne1 = 2UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne2 = 4UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne3 = 8UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne4 = 16UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne5 = 32UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne6 = 64UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne7 = 128UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne8 = 256UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne9 = 512UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne10 = 1_024UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne11 = 2_048UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne12 = 4_096UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne13 = 8_192UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne14 = 16_384UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne15 = 32_768UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne16 = 65_536UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne17 = 131_072UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne18 = 262_144UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne19 = 524_288UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne20 = 1_048_576UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne21 = 2_097_152UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne22 = 4_194_304UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne23 = 8_388_608UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne24 = 16_777_216UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne25 = 33_554_432UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne26 = 67_108_864UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne27 = 134_217_728UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne28 = 268_435_456UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne29 = 536_870_912UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne30 = 1_073_741_824UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne31 = 2_147_483_648UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne32 = 4_294_967_296UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne33 = 8_589_934_592UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne34 = 17_179_869_184UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne35 = 34_359_738_368UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne36 = 68_719_476_736UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne37 = 137_438_953_472UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne38 = 274_877_906_944UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne39 = 549_755_813_888UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne40 = 1_099_511_627_776UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne41 = 2_199_023_255_552UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne42 = 4_398_046_511_104UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne43 = 8_796_093_022_208UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne44 = 17_592_186_044_416UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne45 = 35_184_372_088_832UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne46 = 70_368_744_177_664UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne47 = 140_737_488_355_328UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne48 = 281_474_976_710_656UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne49 = 562_949_953_421_312UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne50 = 1_125_899_906_842_624UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne51 = 2_251_799_813_685_248UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne52 = 4_503_599_627_370_496UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne53 = 9_007_199_254_740_992UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne54 = 18_014_398_509_481_984UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne55 = 36_028_797_018_963_968UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne56 = 72_057_594_037_927_936UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne57 = 144_115_188_075_855_872UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne58 = 288_230_376_151_711_744UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne59 = 576_460_752_303_423_488UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne60 = 1_152_921_504_606_846_976UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne61 = 2_305_843_009_213_693_952UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne62 = 4_611_686_018_427_387_904UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne63 = 9_223_372_036_854_775_808UL - 1UL;
|
||||
public static readonly BigInteger Pow2MinusOne1024 = (BigInteger.One << 1024) - BigInteger.One;
|
||||
}
|
||||
}
|
||||
@@ -1113,8 +1113,8 @@ internal static class BitContradictionSolverWithAMultiplier
|
||||
return;
|
||||
}
|
||||
|
||||
int shift = zeroTailStart + 1 > int.MaxValue ? int.MaxValue : (int)(zeroTailStart + 1);
|
||||
maxA = (BigInteger.One << shift) - BigInteger.One;
|
||||
int shift = zeroTailStart + 1L > int.MaxValue ? int.MaxValue : (int)(zeroTailStart + 1L);
|
||||
maxA = Pow2Provider.BigIntegerMinusOne(shift);
|
||||
minA = BigInteger.Zero;
|
||||
|
||||
if (zeroTailStart == maxAllowedA)
|
||||
@@ -1122,15 +1122,15 @@ internal static class BitContradictionSolverWithAMultiplier
|
||||
if (top0KnownOne)
|
||||
{
|
||||
shift = maxAllowedA > int.MaxValue ? int.MaxValue : (int)maxAllowedA;
|
||||
minA = BigInteger.One << shift;
|
||||
}
|
||||
else if (top0KnownZero && top1KnownOne && maxAllowedA - 1 >= 0)
|
||||
else if (top0KnownZero && top1KnownOne && maxAllowedA - 1L >= 0)
|
||||
{
|
||||
// zeroTailStart is index from here. We're reusing the variable to limit registry pressure.
|
||||
zeroTailStart = maxAllowedA - 1;
|
||||
zeroTailStart = maxAllowedA - 1L;
|
||||
shift = zeroTailStart > int.MaxValue ? int.MaxValue : (int)zeroTailStart;
|
||||
minA = BigInteger.One << shift;
|
||||
}
|
||||
|
||||
minA = Pow2Provider.BigInteger(shift);
|
||||
}
|
||||
}
|
||||
|
||||
@@ -1400,7 +1400,7 @@ internal static class BitContradictionSolverWithAMultiplier
|
||||
// This is a necessary condition for q | (2^p - 1) when p >= 1024 (true here).
|
||||
const int ForcedBits = ForcedALowBits;
|
||||
|
||||
BigInteger mask = (BigInteger.One << ForcedBits) - BigInteger.One;
|
||||
BigInteger mask = Pow2Provider.BigIntegerMinusOne(ForcedBits);
|
||||
|
||||
// Build q (low 1024 bits) from qOneOffsets. q is small anyway, but do it generically.
|
||||
BigInteger qMod2k = BigInteger.Zero;
|
||||
@@ -1408,7 +1408,7 @@ internal static class BitContradictionSolverWithAMultiplier
|
||||
{
|
||||
int bit = qOneOffsets[i];
|
||||
if (bit >= ForcedBits) break;
|
||||
qMod2k |= (BigInteger.One << bit);
|
||||
qMod2k |= Pow2Provider.BigInteger(bit);
|
||||
}
|
||||
|
||||
// q must be odd for any Mersenne divisor candidate.
|
||||
|
||||
@@ -0,0 +1,146 @@
|
||||
using System.Numerics;
|
||||
|
||||
namespace PerfectNumbers.Core
|
||||
{
|
||||
public static class Pow2Provider
|
||||
{
|
||||
public static BigInteger BigInteger(int i) => i switch
|
||||
{
|
||||
0 => System.Numerics.BigInteger.One,
|
||||
1 => BigIntegerNumbers.Two,
|
||||
2 => BigIntegerNumbers.Pow2Exact2,
|
||||
3 => BigIntegerNumbers.Pow2Exact3,
|
||||
4 => BigIntegerNumbers.Pow2Exact4,
|
||||
5 => BigIntegerNumbers.Pow2Exact5,
|
||||
6 => BigIntegerNumbers.Pow2Exact6,
|
||||
7 => BigIntegerNumbers.Pow2Exact7,
|
||||
8 => BigIntegerNumbers.Pow2Exact8,
|
||||
9 => BigIntegerNumbers.Pow2Exact9,
|
||||
10 => BigIntegerNumbers.Pow2Exact10,
|
||||
11 => BigIntegerNumbers.Pow2Exact11,
|
||||
12 => BigIntegerNumbers.Pow2Exact12,
|
||||
13 => BigIntegerNumbers.Pow2Exact13,
|
||||
14 => BigIntegerNumbers.Pow2Exact14,
|
||||
15 => BigIntegerNumbers.Pow2Exact15,
|
||||
16 => BigIntegerNumbers.Pow2Exact16,
|
||||
17 => BigIntegerNumbers.Pow2Exact17,
|
||||
18 => BigIntegerNumbers.Pow2Exact18,
|
||||
19 => BigIntegerNumbers.Pow2Exact19,
|
||||
20 => BigIntegerNumbers.Pow2Exact20,
|
||||
21 => BigIntegerNumbers.Pow2Exact21,
|
||||
22 => BigIntegerNumbers.Pow2Exact22,
|
||||
23 => BigIntegerNumbers.Pow2Exact23,
|
||||
24 => BigIntegerNumbers.Pow2Exact24,
|
||||
25 => BigIntegerNumbers.Pow2Exact25,
|
||||
26 => BigIntegerNumbers.Pow2Exact26,
|
||||
27 => BigIntegerNumbers.Pow2Exact27,
|
||||
28 => BigIntegerNumbers.Pow2Exact28,
|
||||
29 => BigIntegerNumbers.Pow2Exact29,
|
||||
30 => BigIntegerNumbers.Pow2Exact30,
|
||||
31 => BigIntegerNumbers.Pow2Exact31,
|
||||
32 => BigIntegerNumbers.Pow2Exact32,
|
||||
33 => BigIntegerNumbers.Pow2Exact33,
|
||||
34 => BigIntegerNumbers.Pow2Exact34,
|
||||
35 => BigIntegerNumbers.Pow2Exact35,
|
||||
36 => BigIntegerNumbers.Pow2Exact36,
|
||||
37 => BigIntegerNumbers.Pow2Exact37,
|
||||
38 => BigIntegerNumbers.Pow2Exact38,
|
||||
39 => BigIntegerNumbers.Pow2Exact39,
|
||||
40 => BigIntegerNumbers.Pow2Exact40,
|
||||
41 => BigIntegerNumbers.Pow2Exact41,
|
||||
42 => BigIntegerNumbers.Pow2Exact42,
|
||||
43 => BigIntegerNumbers.Pow2Exact43,
|
||||
44 => BigIntegerNumbers.Pow2Exact44,
|
||||
45 => BigIntegerNumbers.Pow2Exact45,
|
||||
46 => BigIntegerNumbers.Pow2Exact46,
|
||||
47 => BigIntegerNumbers.Pow2Exact47,
|
||||
48 => BigIntegerNumbers.Pow2Exact48,
|
||||
49 => BigIntegerNumbers.Pow2Exact49,
|
||||
50 => BigIntegerNumbers.Pow2Exact50,
|
||||
51 => BigIntegerNumbers.Pow2Exact51,
|
||||
52 => BigIntegerNumbers.Pow2Exact52,
|
||||
53 => BigIntegerNumbers.Pow2Exact53,
|
||||
54 => BigIntegerNumbers.Pow2Exact54,
|
||||
55 => BigIntegerNumbers.Pow2Exact55,
|
||||
56 => BigIntegerNumbers.Pow2Exact56,
|
||||
57 => BigIntegerNumbers.Pow2Exact57,
|
||||
58 => BigIntegerNumbers.Pow2Exact58,
|
||||
59 => BigIntegerNumbers.Pow2Exact59,
|
||||
60 => BigIntegerNumbers.Pow2Exact60,
|
||||
61 => BigIntegerNumbers.Pow2Exact61,
|
||||
62 => BigIntegerNumbers.Pow2Exact62,
|
||||
63 => BigIntegerNumbers.Pow2Exact63,
|
||||
_ => throw new ArgumentOutOfRangeException(nameof(i), $"Parameter value {i} is incorrect"),
|
||||
};
|
||||
|
||||
public static BigInteger BigIntegerMinusOne(int i) => i switch
|
||||
{
|
||||
0 => System.Numerics.BigInteger.Zero,
|
||||
1 => BigIntegerNumbers.Pow2MinusOne1,
|
||||
2 => BigIntegerNumbers.Pow2MinusOne2,
|
||||
3 => BigIntegerNumbers.Pow2MinusOne3,
|
||||
4 => BigIntegerNumbers.Pow2MinusOne4,
|
||||
5 => BigIntegerNumbers.Pow2MinusOne5,
|
||||
6 => BigIntegerNumbers.Pow2MinusOne6,
|
||||
7 => BigIntegerNumbers.Pow2MinusOne7,
|
||||
8 => BigIntegerNumbers.Pow2MinusOne8,
|
||||
9 => BigIntegerNumbers.Pow2MinusOne9,
|
||||
10 => BigIntegerNumbers.Pow2MinusOne10,
|
||||
11 => BigIntegerNumbers.Pow2MinusOne11,
|
||||
12 => BigIntegerNumbers.Pow2MinusOne12,
|
||||
13 => BigIntegerNumbers.Pow2MinusOne13,
|
||||
14 => BigIntegerNumbers.Pow2MinusOne14,
|
||||
15 => BigIntegerNumbers.Pow2MinusOne15,
|
||||
16 => BigIntegerNumbers.Pow2MinusOne16,
|
||||
17 => BigIntegerNumbers.Pow2MinusOne17,
|
||||
18 => BigIntegerNumbers.Pow2MinusOne18,
|
||||
19 => BigIntegerNumbers.Pow2MinusOne19,
|
||||
20 => BigIntegerNumbers.Pow2MinusOne20,
|
||||
21 => BigIntegerNumbers.Pow2MinusOne21,
|
||||
22 => BigIntegerNumbers.Pow2MinusOne22,
|
||||
23 => BigIntegerNumbers.Pow2MinusOne23,
|
||||
24 => BigIntegerNumbers.Pow2MinusOne24,
|
||||
25 => BigIntegerNumbers.Pow2MinusOne25,
|
||||
26 => BigIntegerNumbers.Pow2MinusOne26,
|
||||
27 => BigIntegerNumbers.Pow2MinusOne27,
|
||||
28 => BigIntegerNumbers.Pow2MinusOne28,
|
||||
29 => BigIntegerNumbers.Pow2MinusOne29,
|
||||
30 => BigIntegerNumbers.Pow2MinusOne30,
|
||||
31 => BigIntegerNumbers.Pow2MinusOne31,
|
||||
32 => BigIntegerNumbers.Pow2MinusOne32,
|
||||
33 => BigIntegerNumbers.Pow2MinusOne33,
|
||||
34 => BigIntegerNumbers.Pow2MinusOne34,
|
||||
35 => BigIntegerNumbers.Pow2MinusOne35,
|
||||
36 => BigIntegerNumbers.Pow2MinusOne36,
|
||||
37 => BigIntegerNumbers.Pow2MinusOne37,
|
||||
38 => BigIntegerNumbers.Pow2MinusOne38,
|
||||
39 => BigIntegerNumbers.Pow2MinusOne39,
|
||||
40 => BigIntegerNumbers.Pow2MinusOne40,
|
||||
41 => BigIntegerNumbers.Pow2MinusOne41,
|
||||
42 => BigIntegerNumbers.Pow2MinusOne42,
|
||||
43 => BigIntegerNumbers.Pow2MinusOne43,
|
||||
44 => BigIntegerNumbers.Pow2MinusOne44,
|
||||
45 => BigIntegerNumbers.Pow2MinusOne45,
|
||||
46 => BigIntegerNumbers.Pow2MinusOne46,
|
||||
47 => BigIntegerNumbers.Pow2MinusOne47,
|
||||
48 => BigIntegerNumbers.Pow2MinusOne48,
|
||||
49 => BigIntegerNumbers.Pow2MinusOne49,
|
||||
50 => BigIntegerNumbers.Pow2MinusOne50,
|
||||
51 => BigIntegerNumbers.Pow2MinusOne51,
|
||||
52 => BigIntegerNumbers.Pow2MinusOne52,
|
||||
53 => BigIntegerNumbers.Pow2MinusOne53,
|
||||
54 => BigIntegerNumbers.Pow2MinusOne54,
|
||||
55 => BigIntegerNumbers.Pow2MinusOne55,
|
||||
56 => BigIntegerNumbers.Pow2MinusOne56,
|
||||
57 => BigIntegerNumbers.Pow2MinusOne57,
|
||||
58 => BigIntegerNumbers.Pow2MinusOne58,
|
||||
59 => BigIntegerNumbers.Pow2MinusOne59,
|
||||
60 => BigIntegerNumbers.Pow2MinusOne60,
|
||||
61 => BigIntegerNumbers.Pow2MinusOne61,
|
||||
62 => BigIntegerNumbers.Pow2MinusOne62,
|
||||
63 => BigIntegerNumbers.Pow2MinusOne63,
|
||||
1024 => BigIntegerNumbers.Pow2MinusOne1024,
|
||||
_ => throw new ArgumentOutOfRangeException(nameof(i), $"Parameter value {i} is incorrect"),
|
||||
};
|
||||
}
|
||||
}
|
||||
Reference in new issue
Block a user