TYoshimura.MultiPrecision
6.1.0
There is a newer version of this package available.
See the version list below for details.
See the version list below for details.
dotnet add package TYoshimura.MultiPrecision --version 6.1.0
NuGet\Install-Package TYoshimura.MultiPrecision -Version 6.1.0
This command is intended to be used within the Package Manager Console in Visual Studio, as it uses the NuGet module's version of Install-Package.
<PackageReference Include="TYoshimura.MultiPrecision" Version="6.1.0" />
For projects that support PackageReference, copy this XML node into the project file to reference the package.
paket add TYoshimura.MultiPrecision --version 6.1.0
The NuGet Team does not provide support for this client. Please contact its maintainers for support.
#r "nuget: TYoshimura.MultiPrecision, 6.1.0"
#r directive can be used in F# Interactive and Polyglot Notebooks. Copy this into the interactive tool or source code of the script to reference the package.
// Install TYoshimura.MultiPrecision as a Cake Addin #addin nuget:?package=TYoshimura.MultiPrecision&version=6.1.0 // Install TYoshimura.MultiPrecision as a Cake Tool #tool nuget:?package=TYoshimura.MultiPrecision&version=6.1.0
The NuGet Team does not provide support for this client. Please contact its maintainers for support.
MultiPrecision
Float MultiPrecision Arithmetic Implements
Requirement
.NET 6.0
AVX2 suppoted CPU. (Intel:Haswell(2013)-, AMD:Excavator(2015)-)
Install
Download DLL
Download Nuget package
- To install, just import the DLL.
- This library does not change the environment at all.
More Functions ?
Spec
Exponent : ±2147483647
Mantissa : 128-32768 bits
Round: half away from zero
MaxValue: ±8.808065x10^646456992
Types
| type | mantissa bits | significant digits | note |
|---|---|---|---|
| MultiPrecision<Pow2.N4> | 128 | 34 | Fastest |
| MultiPrecision<Pow2.N8> | 256 | 73 | Fast |
| MultiPrecision<Pow2.N16> | 512 | 150 | Standard |
| MultiPrecision<Pow2.N32> | 1024 | 304 | |
| MultiPrecision<Pow2.N64> | 2048 | 612 | Slow |
| MultiPrecision<Pow2.N128> | 4096 | 1229 | |
| MultiPrecision<Pow2.N256> | 8192 | 2462 | Very slow |
| MultiPrecision<Pow2.N512> | 16384 | 4928 | |
| MultiPrecision<Pow2.N1024> | 32768 | 9860 | Not recommended |
| MultiPrecision<N> | Length x 32 | Length x 9.6 - 4 | public struct N : IConstant { public int Value => Length; } |
Functions
| function | domain | mantissa error bits | note | usage |
|---|---|---|---|---|
| sqrt | [0,+inf) | 1 | MultiPrecision<N>.Sqrt(x) | |
| cbrt | (-inf,+inf) | 1 | MultiPrecision<N>.Cbrt(x) | |
| log2 | (0,+inf) | 0 | MultiPrecision<N>.Log2(x) | |
| log | (0,+inf) | 1 | MultiPrecision<N>.Log(x) | |
| log10 | (0,+inf) | 1 | MultiPrecision<N>.Log10(x) | |
| log1p | (-1,+inf) | 1 | log(1+x) | MultiPrecision<N>.Log1p(x) |
| pow2 | (-inf,+inf) | 0 | MultiPrecision<N>.Pow2(x) | |
| pow | (-inf,+inf) | 1 | MultiPrecision<N>.Pow(x, y) | |
| pow10 | (-inf,+inf) | 1 | MultiPrecision<N>.Pow10(x) | |
| exp | (-inf,+inf) | 1 | MultiPrecision<N>.Exp(x) | |
| expm1 | (-inf,+inf) | 1 | exp(x)-1 | MultiPrecision<N>.Expm1(x) |
| sin | (-inf,+inf) | 1 | MultiPrecision<N>.Sin(x) | |
| cos | (-inf,+inf) | 1 | MultiPrecision<N>.Cos(x) | |
| tan | (-inf,+inf) | 2 | MultiPrecision<N>.Tan(x) | |
| sinpi | (-inf,+inf) | 0 | sin(πx) | MultiPrecision<N>.SinPI(x) |
| cospi | (-inf,+inf) | 0 | cos(πx) | MultiPrecision<N>.CosPI(x) |
| tanpi | (-inf,+inf) | 1 | tan(πx) | MultiPrecision<N>.TanPI(x) |
| sinh | (-inf,+inf) | 2 | MultiPrecision<N>.Sinh(x) | |
| cosh | (-inf,+inf) | 2 | MultiPrecision<N>.Cosh(x) | |
| tanh | (-inf,+inf) | 2 | MultiPrecision<N>.Tanh(x) | |
| asin | [-1,1] | 2 | Accuracy deteriorates near x=-1,1. | MultiPrecision<N>.Asin(x) |
| acos | [-1,1] | 2 | Accuracy deteriorates near x=-1,1. | MultiPrecision<N>.Acos(x) |
| atan | (-inf,+inf) | 2 | MultiPrecision<N>.Atan(x) | |
| atan2 | (-inf,+inf) | 2 | MultiPrecision<N>.Atan2(y, x) | |
| arsinh | (-inf,+inf) | 2 | MultiPrecision<N>.Arsinh(x) | |
| arcosh | [1,+inf) | 2 | MultiPrecision<N>.Arcosh(x) | |
| artanh | (-1,1) | 4 | Accuracy deteriorates near x=-1,1. | MultiPrecision<N>.Artanh(x) |
| erf | (-1,1) | 2 | Length ≤ 256 | MultiPrecision<N>.Erf(x) |
| erfc | (0,2) | 2 | Length ≤ 256 | MultiPrecision<N>.Erfc(x) |
| inverse_erf | (-1,1) | 2 | Length ≤ 256 | MultiPrecision<N>.InverseErf(x) |
| inverse_erfc | (0,2) | 4 | Length ≤ 256 | MultiPrecision<N>.InverseErfc(x) |
| loggamma | (0,+inf) | 2 | Accuracy deteriorates near x=0. Length ≤ 256 | MultiPrecision<N>.LogGamma(x) |
| gamma | (-inf,+inf) | 2 | Accuracy deteriorates near non-positive intergers. Length ≤ 256 | MultiPrecision<N>.Gamma(x) |
| digamma | (-inf,+inf) | 2 | Accuracy deteriorates near non-positive intergers and zero points. Length ≤ 256 | MultiPrecision<N>.Digamma(x) |
| bessel_j | (-inf,+inf) | 2 | Accuracy deteriorates near zero points. (error ≤ 2^-(mantissa bits + 64)) Length ≤ 65 abs(nu) ≤ 64 | MultiPrecision<N>.BesselJ(nu, z) |
| bessel_y | (-inf,+inf) | 2 | Accuracy deteriorates near zero points. (error ≤ 2^-(mantissa bits + 64)) Length ≤ 65 abs(nu) ≤ 64 | MultiPrecision<N>.BesselY(nu, z) |
| bessel_i | [0,+inf) | 2 | Length ≤ 65 abs(nu) ≤ 64 | MultiPrecision<N>.BesselI(nu, z) |
| bessel_k | [0,+inf) | 2 | Length ≤ 65 abs(nu) ≤ 64 | MultiPrecision<N>.BesselK(nu, z) |
| elliptic_k | [0,1] | 1 | k: elliptic modulus, m=k^2 | MultiPrecision<N>.EllipticK(m) |
| elliptic_e | [0,1] | 1 | k: elliptic modulus, m=k^2 | MultiPrecision<N>.EllipticE(m) |
| elliptic_pi | [0,1] | 1 | k: elliptic modulus, m=k^2 | MultiPrecision<N>.EllipticPi(n, m) |
| ldexp | (-inf,+inf) | N/A | MultiPrecision<N>.Ldexp(x, y) | |
| random | N/A | N/A | generation uniform random [0, 1) | MultiPrecision<N>.Random(random) |
| min | N/A | N/A | MultiPrecision<N>.Min(x, y) | |
| max | N/A | N/A | MultiPrecision<N>.Max(x, y) | |
| floor | N/A | N/A | MultiPrecision<N>.Floor(x) | |
| ceiling | N/A | N/A | MultiPrecision<N>.Ceiling(x) | |
| round | N/A | N/A | MultiPrecision<N>.Round(x) | |
| truncate | N/A | N/A | MultiPrecision<N>.Truncate(x) | |
| array sum | N/A | N/A | kahan summation | IEnumerable<MultiPrecision<N>>.Sum() |
| array average | N/A | N/A | kahan summation | IEnumerable<MultiPrecision<N>>.Average() |
| array variance | N/A | N/A | population variance | IEnumerable<MultiPrecision<N>>.Variance() |
| array min | N/A | N/A | IEnumerable<MultiPrecision<N>>.Min() | |
| array max | N/A | N/A | IEnumerable<MultiPrecision<N>>.Max() |
Constants
| constant | value | note | usage |
|---|---|---|---|
| Pi | 3.141592653589793238462... | MultiPrecision<N>.PI | |
| Napier's E | 2.718281828459045235360... | MultiPrecision<N>.E | |
| Sqrt(2) | 1.414213562373095048801... | MultiPrecision<N>.Sqrt2 | |
| lg(2) | 0.301029995663981195213... | log10(2) lg:=log10 (ISO 80000-2-12.6) | MultiPrecision<N>.Lg2 |
| lb(10) | 3.321928094887362347870... | log2(10) lb:=log2 (ISO 80000-2-12.7) | MultiPrecision<N>.Lb10 |
| log(2) | 0.693147180559945309417... | log(2) ln:=log (ISO 80000-2-12.5) | MultiPrecision<N>.Ln2 |
| lb(e) | 1.442695040888963407359... | log2(e) | MultiPrecision<N>.LbE |
| Euler's Gamma | 0.577215664901532860606... | MultiPrecision<N>.EulerGamma | |
| ζ(3) | 1.202056903159594285399... | Apery const. | MultiPrecision<N>.Zeta3 |
| ζ(5) | 1.036927755143369926331... | MultiPrecision<N>.Zeta5 | |
| ζ(7) | 1.008349277381922826839... | MultiPrecision<N>.Zeta7 |
Sequence
| sequence | note | usage |
|---|---|---|
| Taylor | 1/n! | MultiPrecision<N>.TaylorSequence |
| Bernoulli | B(2k) | MultiPrecision<N>.BernoulliSequence |
| Stirling | Gamma convergent series, Bayes(1763) | MultiPrecision<N>.StirlingSequence |
| HarmonicNumber | H_n | MultiPrecision<N>.HarmonicNumber |
Coefficient
| coefficient | note | usage |
|---|---|---|
| Chebyshev | C(n, m) | MultiPrecision<N>.ChebyshevCoef |
Util
NewtonRaphsonRootFinding
HalleyRootFinding
RombergIntegrate
FiniteDifference
Casts
- long (accurately)
MultiPrecision<N> v0 = 123;
long n0 = (long)v0;
- double (accurately)
MultiPrecision<N> v1 = 0.5;
double n1 = (double)v1;
- decimal (approximately)
MultiPrecision<N> v1 = 0.1m;
decimal n1 = (decimal)v1;
- string (approximately)
MultiPrecision<N> v2 = "3.14e0";
string s0 = v2.ToString();
string s1 = v2.ToString("E8");
string s2 = $"{v2:E8}";
I/O
BinaryWriter, BinaryReader
Licence
Author
| Product | Versions Compatible and additional computed target framework versions. |
|---|---|
| .NET | net6.0 is compatible. net6.0-android was computed. net6.0-ios was computed. net6.0-maccatalyst was computed. net6.0-macos was computed. net6.0-tvos was computed. net6.0-windows was computed. net7.0 was computed. net7.0-android was computed. net7.0-ios was computed. net7.0-maccatalyst was computed. net7.0-macos was computed. net7.0-tvos was computed. net7.0-windows was computed. net8.0 was computed. net8.0-android was computed. net8.0-browser was computed. net8.0-ios was computed. net8.0-maccatalyst was computed. net8.0-macos was computed. net8.0-tvos was computed. net8.0-windows was computed. |
Compatible target framework(s)
Included target framework(s) (in package)
Learn more about Target Frameworks and .NET Standard.
-
net6.0
- No dependencies.
NuGet packages (9)
Showing the top 5 NuGet packages that depend on TYoshimura.MultiPrecision:
| Package | Downloads |
|---|---|
|
TYoshimura.MultiPrecision.Algebra
MultiPrecision Algebra |
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|
TYoshimura.MultiPrecision.CurveFitting
MultiPrecision Curve Fitting - linear, polynomial, pade, arbitrary function |
|
|
TYoshimura.MultiPrecision.Integrate
MultiPrecision Numerical Integration Implements |
|
|
TYoshimura.MultiPrecision.Complex
MultiPrecision Complex and Quaternion Implements |
|
|
TYoshimura.MultiPrecision.ComplexAlgebra
MultiPrecision Complex Algebra |
GitHub repositories
This package is not used by any popular GitHub repositories.
| Version | Downloads | Last updated |
|---|---|---|
| 6.4.1 | 41 | 11/7/2024 |
| 6.4.0 | 139 | 11/1/2024 |
| 6.3.4 | 399 | 8/22/2024 |
| 6.3.3 | 114 | 6/10/2024 |
| 6.3.2 | 476 | 2/21/2024 |
| 6.3.1 | 237 | 2/8/2024 |
| 6.3.0 | 513 | 1/20/2024 |
| 6.2.1 | 485 | 9/9/2023 |
| 6.2.0 | 561 | 9/6/2023 |
| 6.1.1 | 587 | 4/6/2023 |
| 6.1.0 | 1,073 | 3/10/2023 |
| 6.0.0 | 593 | 3/3/2023 |
| 5.1.0 | 2,785 | 9/17/2022 |
| 5.0.7 | 636 | 1/6/2022 |
| 5.0.6 | 582 | 1/5/2022 |
| 5.0.5 | 1,414 | 12/1/2021 |
| 5.0.4 | 2,430 | 11/26/2021 |
| 5.0.3 | 603 | 11/22/2021 |
| 5.0.2 | 657 | 11/10/2021 |
remove accumulator