MultiPrecisionSeriesAcceleration

MultiPrecision Series Acceleration Implements

Requirement

.NET 8.0
AVX2 suppoted CPU. (Intel:Haswell(2013)-, AMD:Excavator(2015)-)
MultiPrecision

Install

Download DLL
Download Nuget

• Import MultiPrecision(https://github.com/tk-yoshimura/MultiPrecision)

Usage

WynnEpsilonAccelerator<Pow2.N8> accelerator = new();
for (long i = 2; i <= 50; i++) {
    MultiPrecision<Pow2.N8> n = MultiPrecision<Pow2.N8>.Ldexp(1, i);
    MultiPrecision<Pow2.N8> s = n / 2 * MultiPrecision<Pow2.N8>.SinPI(2 * MultiPrecision<Pow2.N8>.Div(1, n));

    accelerator.Append(s);

    MultiPrecision<Pow2.N8> raw_err = MultiPrecision<Pow2.N8>.Abs(MultiPrecision<Pow2.N8>.PI - s);
    MultiPrecision<Pow2.N8> ext_err = MultiPrecision<Pow2.N8>.Abs(MultiPrecision<Pow2.N8>.PI - accelerator.LastValue);

    Console.WriteLine($"n  : {n}");
    Console.WriteLine($"s  : {s}");
    Console.WriteLine($"val: {accelerator.LastValue}");
    Console.WriteLine($"acc err: {accelerator.Error:e10}");
    Console.WriteLine($"raw err: {raw_err:e10}");
    Console.WriteLine($"ext err: {ext_err:e10}\n");
}

Licence

MIT

Author

T.Yoshimura