Mathematical functions based on XlCalcNet2 (C#, can be called from Python)#
Binary floating point, multiple precision: mreal, mcplx#
The C# modules mreal and mcplx provide support for real and complex floating point numbers with an arbitrary precision significand and a fixed size exponent. The corresponding real and complex data types, Mpfr and MpfrC, have been added as objects in XlCalcNet2 (and have therefore the overhead of objects). They are implemented in software, using the mpfr_t data type of the MPFR library (see https://www.mpfr.org/) and the mpc_t data type of the MPC library (see https://www.multiprecision.org/mpc/).
The C# modules mreal and mcplx fully support Boost.Math and Eigen.
Examples in C#, mreal#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some mreal functions");
MrealTest0();
MrealTest1();
}
General test code for C# can be found here
public static void McplxTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "McplxTest0" + "\"" + ">");
var a = mcplx.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = mcplx.abs(a);
Console.WriteLine("res1 = mcplx.abs(a): {0}", res1);
var res2 = mcplx.exp(a);
Console.WriteLine("res2 = mcplx.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
General test code for C# can be found here
public static void McplxTest1()
{
Console.WriteLine("<H1 Title=" + "\"" + "McplxTest1" + "\"" + ">");
var a = mcplx.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = mcplx.asin(a);
Console.WriteLine("res1 = mcplx.asin(a) {0}", res1);
var res2 = mcplx.sin(a);
Console.WriteLine("res2 = mcplx.sin(a) {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D01a_Mreal.cs.
Examples in C#, mcplx#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some mreal functions");
MrealTest0();
MrealTest1();
}
General test code for C# can be found here
public static void McplxTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "McplxTest0" + "\"" + ">");
var a = mcplx.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = mcplx.abs(a);
Console.WriteLine("res1 = mcplx.abs(a): {0}", res1);
var res2 = mcplx.exp(a);
Console.WriteLine("res2 = mcplx.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
General test code for C# can be found here
public static void McplxTest1()
{
Console.WriteLine("<H1 Title=" + "\"" + "McplxTest1" + "\"" + ">");
var a = mcplx.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = mcplx.asin(a);
Console.WriteLine("res1 = mcplx.asin(a) {0}", res1);
var res2 = mcplx.sin(a);
Console.WriteLine("res2 = mcplx.sin(a) {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D01b_Mcplx.cs.
Examples in Python, mreal#
General test code for Python can be found here
import math
from xlcalcnet import mreal
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_mreal()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = mreal.t(i)
print('x = mreal.t(i):', x)
x = mreal.t(5.7)
print('x = mrealT(5.7):', x)
x = mreal.t(5.7)
print('x = mrealT(5.7):', x)
x0 = mreal.t(2329456398453948563945639364827346)
print('x0 = mrealT(2329456398453948563945639364827346', x0)
x1 = mreal.t("2329456398453948563945639364827346")
print('x1 = mreal.t("2329456398453948563945639364827346"):', x1)
x = mreal.t("5.5")
print('x = mrealT("5.5"):', x)
print()
x = mreal.t(55)
print('x = mreal.t(5):', x)
y = mreal.exp(x)
print('y = mreal.exp(x):', y)
z = mreal.exp(5.5)
print('z = mreal.exp(5.5):', z)
z = mreal.exp(5)
print('z = mreal.exp(5):', z)
z = mreal.exp("5.5")
print('z = mreal.exp("5.5"):', z)
print('</H1>')
General test code can be found here
def functions_with_argument_conversion():
print()
print('<H1 Title="Functions with argument conversion">')
dec = Decimal(1) / Decimal(7)
print('dec = Decimal(1) / Decimal(7):', dec)
z = mreal.exp(dec)
print('z = mreal.exp(dec):', z)
frac = Fraction("-3/7")
print('frac = Fraction("-3/7:")', frac)
z = mreal.exp(frac)
print('z = mreal.exp(frac):', z)
print()
x = mreal.t(5.5)
print('x = mreal.t(55):', x)
y = mreal.t(3.3)
print('y = mreal.t(33):', y)
z = mreal.pow(x, y)
print('z = mreal.pow(x, y): ', z)
z = mreal.pow(5.5, 3.3)
print('z = mreal.pow(5.5, 3.3): ', z)
z = mreal.pow("5.5", "3.3")
print('z = mreal.pow("5.5", "3.3"):', z)
z = mreal.pow(5, 3)
print('z = mreal.pow(5, 3):', z)
t = z + 3
print('t = z + 3:', t)
print('</H1>')
General test code can be found here
def arithmetic_operators_with_mreal():
print()
print('<H1 Title="Arithmetic operators with mreal">')
x = mreal.t(5.0)
y = mreal.t(2.5)
print('x: ', x)
print('y: ', y)
res = x + y
print('res = x + y:', res)
res = y + x
print('res = y + x:', res)
res = x - y
print('res = x - y:', res)
res = y - x
print('res = y - x:', res)
res = x * y
print('res = x * y:', res)
res = y * x
print('res = y * x:', res)
res = x / y
print('res = x / y:', res)
res = y / x
print('res = y / x:', res)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D01a_MReal.py.
Examples in Python, mcplx#
General test code for Python can be found here
import math
from xlcalcnet import mreal
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_mreal()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = mreal.t(i)
print('x = mreal.t(i):', x)
x = mreal.t(5.7)
print('x = mrealT(5.7):', x)
x = mreal.t(5.7)
print('x = mrealT(5.7):', x)
x0 = mreal.t(2329456398453948563945639364827346)
print('x0 = mrealT(2329456398453948563945639364827346', x0)
x1 = mreal.t("2329456398453948563945639364827346")
print('x1 = mreal.t("2329456398453948563945639364827346"):', x1)
x = mreal.t("5.5")
print('x = mrealT("5.5"):', x)
print()
x = mreal.t(55)
print('x = mreal.t(5):', x)
y = mreal.exp(x)
print('y = mreal.exp(x):', y)
z = mreal.exp(5.5)
print('z = mreal.exp(5.5):', z)
z = mreal.exp(5)
print('z = mreal.exp(5):', z)
z = mreal.exp("5.5")
print('z = mreal.exp("5.5"):', z)
print('</H1>')
General test code can be found here
def functions_with_argument_conversion():
print()
print('<H1 Title="Functions with argument conversion">')
dec = Decimal(1) / Decimal(7)
print('dec = Decimal(1) / Decimal(7):', dec)
z = mreal.exp(dec)
print('z = mreal.exp(dec):', z)
frac = Fraction("-3/7")
print('frac = Fraction("-3/7:")', frac)
z = mreal.exp(frac)
print('z = mreal.exp(frac):', z)
print()
x = mreal.t(5.5)
print('x = mreal.t(55):', x)
y = mreal.t(3.3)
print('y = mreal.t(33):', y)
z = mreal.pow(x, y)
print('z = mreal.pow(x, y): ', z)
z = mreal.pow(5.5, 3.3)
print('z = mreal.pow(5.5, 3.3): ', z)
z = mreal.pow("5.5", "3.3")
print('z = mreal.pow("5.5", "3.3"):', z)
z = mreal.pow(5, 3)
print('z = mreal.pow(5, 3):', z)
t = z + 3
print('t = z + 3:', t)
print('</H1>')
General test code can be found here
def arithmetic_operators_with_mreal():
print()
print('<H1 Title="Arithmetic operators with mreal">')
x = mreal.t(5.0)
y = mreal.t(2.5)
print('x: ', x)
print('y: ', y)
res = x + y
print('res = x + y:', res)
res = y + x
print('res = y + x:', res)
res = x - y
print('res = x - y:', res)
res = y - x
print('res = y - x:', res)
res = x * y
print('res = x * y:', res)
res = y * x
print('res = y * x:', res)
res = x / y
print('res = x / y:', res)
res = y / x
print('res = y / x:', res)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D02b_TestMCplx.py.
Notes regarding the implementation in C# and C++#
The C# source code for the module mreal can be found here: mreal.cs.
The C# source code for the module mcplx can be found here: mcplx.cs.
The C++ source code supporting scalars in general which is called from mreal.cs and mcplx.cs can be found here: UseMpfr.cpp.
The C++ source code which interacts directly with Boost can be found here: BoostMpfr.cpp.
The C++ source code supporting Eigen which is called from mreal.cs and mcplx.cs can be found here: UseAnyEigenMat.cpp.
The C++ source code which interacts directly with Eigen can be found in the folder: BoostEigenMath.cpp.
Binary arbitrary precision ball: aflint and aflintc#
The C# modules aflint and aflintc provide support for real and complex ball arithmetic with an arbitrary precision significand and an arbitrary size exponent. The corresponding real and complex data types, Arb and ArbC, have been added as objects in XlCalcNet2 (and have therefore the overhead of objects). They are implemented in software, using the arb_t and and acb_t data types of the FLINT library (see https://flintlib.org/).
The C# modules mreal and mcplx partially support Eigen.
Note: Exponent soft maximum and minimum
Examples in C#, aflint#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some aflint functions");
AflintTest0();
AflintTest1();
}
General test code for C# can be found here
public static void AflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "AflintcTest0" + "\"" + ">");
var a = aflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = aflintc.abs(a);
Console.WriteLine("res1 = aflintc.abs(a): {0}", res1);
var res2 = aflintc.exp(a);
Console.WriteLine("res2 = aflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
General test code for C# can be found here
public static void AflintcTest1()
{
Console.WriteLine("<H1 Title=" + "\"" + "AflintcTest1" + "\"" + ">");
var a = aflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = aflintc.asin(a);
Console.WriteLine("res1 = aflintc.asin(a) {0}", res1);
var res2 = aflintc.sin(a);
Console.WriteLine("res2 = aflintc.sin(a) {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D02a_Aflint.cs.
Examples in C#, aflintc#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some aflint functions");
AflintTest0();
AflintTest1();
}
General test code for C# can be found here
public static void AflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "AflintcTest0" + "\"" + ">");
var a = aflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = aflintc.abs(a);
Console.WriteLine("res1 = aflintc.abs(a): {0}", res1);
var res2 = aflintc.exp(a);
Console.WriteLine("res2 = aflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
General test code for C# can be found here
public static void AflintcTest1()
{
Console.WriteLine("<H1 Title=" + "\"" + "AflintcTest1" + "\"" + ">");
var a = aflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = aflintc.asin(a);
Console.WriteLine("res1 = aflintc.asin(a) {0}", res1);
var res2 = aflintc.sin(a);
Console.WriteLine("res2 = aflintc.sin(a) {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D02b_Aflintc.cs.
Examples in Python, aflint#
General test code for Python can be found here
import math
from xlcalcnet import aflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_aflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = aflint.t(i)
print('x = aflint.t(i):', x)
x = aflint.t(5.7)
print('x = aflintT(5.7):', x)
x = aflint.t(5.7)
print('x = aflintT(5.7):', x)
x0 = aflint.t(2329456398453948563945639364827346)
print('x0 = aflintT(2329456398453948563945639364827346', x0)
x1 = aflint.t("2329456398453948563945639364827346")
print('x1 = aflint.t("2329456398453948563945639364827346"):', x1)
x = aflint.t("5.5")
print('x = aflintT("5.5"):', x)
print()
x = aflint.t(55)
print('x = aflint.t(5):', x)
y = aflint.exp(x)
print('y = aflint.exp(x):', y)
z = aflint.exp(5.5)
print('z = aflint.exp(5.5):', z)
z = aflint.exp(5)
print('z = aflint.exp(5):', z)
z = aflint.exp("5.5")
print('z = aflint.exp("5.5"):', z)
print('</H1>')
General test code can be found here
def functions_with_argument_conversion():
print()
print('<H1 Title="Functions with argument conversion">')
dec = Decimal(1) / Decimal(7)
print('dec = Decimal(1) / Decimal(7):', dec)
z = aflint.exp(dec)
print('z = aflint.exp(dec):', z)
frac = Fraction("-3/7")
print('frac = Fraction("-3/7:")', frac)
z = aflint.exp(frac)
print('z = aflint.exp(frac):', z)
print()
x = aflint.t(5.5)
print('x = aflint.t(55):', x)
y = aflint.t(3.3)
print('y = aflint.t(33):', y)
z = aflint.pow(x, y)
print('z = aflint.pow(x, y): ', z)
z = aflint.pow(5.5, 3.3)
print('z = aflint.pow(5.5, 3.3): ', z)
z = aflint.pow("5.5", "3.3")
print('z = aflint.pow("5.5", "3.3"):', z)
z = aflint.pow(5, 3)
print('z = aflint.pow(5, 3):', z)
t = z + 3
print('t = z + 3:', t)
print('</H1>')
General test code can be found here
def arithmetic_operators_with_aflint():
print()
print('<H1 Title="Arithmetic operators with aflint">')
x = aflint.t(5.0)
y = aflint.t(2.5)
print('x: ', x)
print('y: ', y)
res = x + y
print('res = x + y:', res)
res = y + x
print('res = y + x:', res)
res = x - y
print('res = x - y:', res)
res = y - x
print('res = y - x:', res)
res = x * y
print('res = x * y:', res)
res = y * x
print('res = y * x:', res)
res = x / y
print('res = x / y:', res)
res = y / x
print('res = y / x:', res)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D02a_AFlint.py.
Examples in Python, aflintc#
General test code for Python can be found here
import math
from xlcalcnet import aflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_aflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = aflint.t(i)
print('x = aflint.t(i):', x)
x = aflint.t(5.7)
print('x = aflintT(5.7):', x)
x = aflint.t(5.7)
print('x = aflintT(5.7):', x)
x0 = aflint.t(2329456398453948563945639364827346)
print('x0 = aflintT(2329456398453948563945639364827346', x0)
x1 = aflint.t("2329456398453948563945639364827346")
print('x1 = aflint.t("2329456398453948563945639364827346"):', x1)
x = aflint.t("5.5")
print('x = aflintT("5.5"):', x)
print()
x = aflint.t(55)
print('x = aflint.t(5):', x)
y = aflint.exp(x)
print('y = aflint.exp(x):', y)
z = aflint.exp(5.5)
print('z = aflint.exp(5.5):', z)
z = aflint.exp(5)
print('z = aflint.exp(5):', z)
z = aflint.exp("5.5")
print('z = aflint.exp("5.5"):', z)
print('</H1>')
General test code can be found here
def functions_with_argument_conversion():
print()
print('<H1 Title="Functions with argument conversion">')
dec = Decimal(1) / Decimal(7)
print('dec = Decimal(1) / Decimal(7):', dec)
z = aflint.exp(dec)
print('z = aflint.exp(dec):', z)
frac = Fraction("-3/7")
print('frac = Fraction("-3/7:")', frac)
z = aflint.exp(frac)
print('z = aflint.exp(frac):', z)
print()
x = aflint.t(5.5)
print('x = aflint.t(55):', x)
y = aflint.t(3.3)
print('y = aflint.t(33):', y)
z = aflint.pow(x, y)
print('z = aflint.pow(x, y): ', z)
z = aflint.pow(5.5, 3.3)
print('z = aflint.pow(5.5, 3.3): ', z)
z = aflint.pow("5.5", "3.3")
print('z = aflint.pow("5.5", "3.3"):', z)
z = aflint.pow(5, 3)
print('z = aflint.pow(5, 3):', z)
t = z + 3
print('t = z + 3:', t)
print('</H1>')
General test code can be found here
def arithmetic_operators_with_aflint():
print()
print('<H1 Title="Arithmetic operators with aflint">')
x = aflint.t(5.0)
y = aflint.t(2.5)
print('x: ', x)
print('y: ', y)
res = x + y
print('res = x + y:', res)
res = y + x
print('res = y + x:', res)
res = x - y
print('res = x - y:', res)
res = y - x
print('res = y - x:', res)
res = x * y
print('res = x * y:', res)
res = y * x
print('res = y * x:', res)
res = x / y
print('res = x / y:', res)
res = y / x
print('res = y / x:', res)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D02b_AFlintc.py.
Notes regarding the implementation in C# and C++#
The C# source code for the module aflint can be found here: aflint.cs.
The C# source code for the module aflintc can be found here: aflintc.cs.
The C++ source code supporting scalars in general which is called from aflint.cs and aflintc.cs can be found here: UseArb.cpp.
The C++ source code supporting Eigen which is called from aflint.cs and aflintc.cs can be found here: UseAnyEigenMat.cpp.
The C++ source code which interacts directly with Eigen can be found in the folder: BoostEigenMath.cpp.
Binary floating point, single precision: sflint and sflintc#
The C# modules sflint and sflintc provide a rich set of elementary and special real and complex scalar functions for the Single and Single data types, with the actual calculations done using the Arb and ArbC data types, which allows control of the absolute and relative error of the result.
Examples in C#, sflint#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some sflint functions");
SflintTest0();
SflintTest1();
}
General test code for C# can be found here
public static void SflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "SflintcTest0" + "\"" + ">");
var a = qflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = qflintc.abs(a);
Console.WriteLine("res1 = qflintc.abs(a): {0}", res1);
var res2 = qflintc.exp(a);
Console.WriteLine("res2 = qflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D03a_Sflint.cs.
Examples in C#, sflintc#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some sflint functions");
SflintTest0();
SflintTest1();
}
General test code for C# can be found here
public static void SflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "SflintcTest0" + "\"" + ">");
var a = qflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = qflintc.abs(a);
Console.WriteLine("res1 = qflintc.abs(a): {0}", res1);
var res2 = qflintc.exp(a);
Console.WriteLine("res2 = qflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D03b_Sflintc.cs.
Examples in Python, sflint#
General test code for Python can be found here
import math
from xlcalcnet import sflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_sflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = sflint.t(i)
print('x = sflint.t(i):', x)
x = sflint.t(5.7)
print('x = sflintT(5.7):', x)
x = sflint.t(5.7)
print('x = sflintT(5.7):', x)
x0 = sflint.t(2329456398453948563945639364827346)
print('x0 = sflintT(2329456398453948563945639364827346', x0)
x1 = sflint.t("2329456398453948563945639364827346")
print('x1 = sflint.t("2329456398453948563945639364827346"):', x1)
x = sflint.t("5.5")
print('x = sflintT("5.5"):', x)
print()
x = sflint.t(55)
print('x = sflint.t(5):', x)
y = sflint.exp(x)
print('y = sflint.exp(x):', y)
z = sflint.exp(5.5)
print('z = sflint.exp(5.5):', z)
z = sflint.exp(5)
print('z = sflint.exp(5):', z)
z = sflint.exp("5.5")
print('z = sflint.exp("5.5"):', z)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D03a_SFlint.py.
Examples in Python, sflintc#
General test code for Python can be found here
import math
from xlcalcnet import sflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_sflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = sflint.t(i)
print('x = sflint.t(i):', x)
x = sflint.t(5.7)
print('x = sflintT(5.7):', x)
x = sflint.t(5.7)
print('x = sflintT(5.7):', x)
x0 = sflint.t(2329456398453948563945639364827346)
print('x0 = sflintT(2329456398453948563945639364827346', x0)
x1 = sflint.t("2329456398453948563945639364827346")
print('x1 = sflint.t("2329456398453948563945639364827346"):', x1)
x = sflint.t("5.5")
print('x = sflintT("5.5"):', x)
print()
x = sflint.t(55)
print('x = sflint.t(5):', x)
y = sflint.exp(x)
print('y = sflint.exp(x):', y)
z = sflint.exp(5.5)
print('z = sflint.exp(5.5):', z)
z = sflint.exp(5)
print('z = sflint.exp(5):', z)
z = sflint.exp("5.5")
print('z = sflint.exp("5.5"):', z)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D03b_SFlintc.py.
Notes regarding the implementation in C# and C++#
The C# source code for the modules sflint and sflintc can be found here: srealcplxflint.cs.
The C++ source code which is called from srealcplxflint.cs can be found here: UseSReal.cpp.
Binary floating point, double precision: dflint and dflintc#
The C# modules dflint and dflintc provide a rich set of elementary and special real and complex scalar functions for the Double and Complex data types, with the actual calculations done using the Arb and ArbC data types, which allows control of the absolute and relative error of the result.
Examples in C#, dflint#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some sflint functions");
DflintTest0();
DflintTest1();
}
General test code for C# can be found here
public static void DflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "DflintcTest0" + "\"" + ">");
var a = qflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = qflintc.abs(a);
Console.WriteLine("res1 = qflintc.abs(a): {0}", res1);
var res2 = qflintc.exp(a);
Console.WriteLine("res2 = qflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D04a_Dflint.cs.
Examples in C#, dflintc#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some sflint functions");
DflintTest0();
DflintTest1();
}
General test code for C# can be found here
public static void DflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "DflintcTest0" + "\"" + ">");
var a = qflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = qflintc.abs(a);
Console.WriteLine("res1 = qflintc.abs(a): {0}", res1);
var res2 = qflintc.exp(a);
Console.WriteLine("res2 = qflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D04b_Dflintc.cs.
Examples in Python, dflint#
General test code for Python can be found here
import math
from xlcalcnet import sflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_sflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = sflint.t(i)
print('x = sflint.t(i):', x)
x = sflint.t(5.7)
print('x = sflintT(5.7):', x)
x = sflint.t(5.7)
print('x = sflintT(5.7):', x)
x0 = sflint.t(2329456398453948563945639364827346)
print('x0 = sflintT(2329456398453948563945639364827346', x0)
x1 = sflint.t("2329456398453948563945639364827346")
print('x1 = sflint.t("2329456398453948563945639364827346"):', x1)
x = sflint.t("5.5")
print('x = sflintT("5.5"):', x)
print()
x = sflint.t(55)
print('x = sflint.t(5):', x)
y = sflint.exp(x)
print('y = sflint.exp(x):', y)
z = sflint.exp(5.5)
print('z = sflint.exp(5.5):', z)
z = sflint.exp(5)
print('z = sflint.exp(5):', z)
z = sflint.exp("5.5")
print('z = sflint.exp("5.5"):', z)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D04a_DFlint.py.
Examples in Python, dflintc#
General test code for Python can be found here
import math
from xlcalcnet import sflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_sflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = sflint.t(i)
print('x = sflint.t(i):', x)
x = sflint.t(5.7)
print('x = sflintT(5.7):', x)
x = sflint.t(5.7)
print('x = sflintT(5.7):', x)
x0 = sflint.t(2329456398453948563945639364827346)
print('x0 = sflintT(2329456398453948563945639364827346', x0)
x1 = sflint.t("2329456398453948563945639364827346")
print('x1 = sflint.t("2329456398453948563945639364827346"):', x1)
x = sflint.t("5.5")
print('x = sflintT("5.5"):', x)
print()
x = sflint.t(55)
print('x = sflint.t(5):', x)
y = sflint.exp(x)
print('y = sflint.exp(x):', y)
z = sflint.exp(5.5)
print('z = sflint.exp(5.5):', z)
z = sflint.exp(5)
print('z = sflint.exp(5):', z)
z = sflint.exp("5.5")
print('z = sflint.exp("5.5"):', z)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D04b_DFlintc.py.
Notes regarding the implementation in C# and C++#
The C# source code for the modules dflint and dflintc can be found here: drealcplxflint.cs.
The C++ source code which is called from drealcplxflint.cs can be found here: UseFReal.cpp.
Binary floating point, extended precision: eflint and eflintc#
The C# modules eflint and eflintc provide a rich set of elementary and special real and complex scalar functions for the Extended and ExtendedC data types, with the actual calculations done using the Arb and ArbC data types, which allows control of the absolute and relative error of the result.
Examples in C#, eflint#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some eflint functions");
EflintTest0();
EflintTest1();
}
General test code for C# can be found here
public static void EflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "EflintcTest0" + "\"" + ">");
var a = eflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = eflintc.abs(a);
Console.WriteLine("res1 = eflintc.abs(a): {0}", res1);
var res2 = eflintc.exp(a);
Console.WriteLine("res2 = eflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D05a_Eflint.cs.
Examples in C#, eflintc#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some eflint functions");
EflintTest0();
EflintTest1();
}
General test code for C# can be found here
public static void EflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "EflintcTest0" + "\"" + ">");
var a = eflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = eflintc.abs(a);
Console.WriteLine("res1 = eflintc.abs(a): {0}", res1);
var res2 = eflintc.exp(a);
Console.WriteLine("res2 = eflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D05b_Eflintc.cs.
Examples in Python, eflint#
General test code for Python can be found here
import math
from xlcalcnet import eflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_eflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = eflint.t(i)
print('x = eflint.t(i):', x)
x = eflint.t(5.7)
print('x = eflintT(5.7):', x)
x = eflint.t(5.7)
print('x = eflintT(5.7):', x)
x0 = eflint.t(2329456398453948563945639364827346)
print('x0 = eflintT(2329456398453948563945639364827346', x0)
x1 = eflint.t("2329456398453948563945639364827346")
print('x1 = eflint.t("2329456398453948563945639364827346"):', x1)
x = eflint.t("5.5")
print('x = eflintT("5.5"):', x)
print()
x = eflint.t(55)
print('x = eflint.t(5):', x)
y = eflint.exp(x)
print('y = eflint.exp(x):', y)
z = eflint.exp(5.5)
print('z = eflint.exp(5.5):', z)
z = eflint.exp(5)
print('z = eflint.exp(5):', z)
z = eflint.exp("5.5")
print('z = eflint.exp("5.5"):', z)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D05a_EFlint.py.
Examples in Python, eflintc#
General test code for Python can be found here
import math
from xlcalcnet import eflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_eflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = eflint.t(i)
print('x = eflint.t(i):', x)
x = eflint.t(5.7)
print('x = eflintT(5.7):', x)
x = eflint.t(5.7)
print('x = eflintT(5.7):', x)
x0 = eflint.t(2329456398453948563945639364827346)
print('x0 = eflintT(2329456398453948563945639364827346', x0)
x1 = eflint.t("2329456398453948563945639364827346")
print('x1 = eflint.t("2329456398453948563945639364827346"):', x1)
x = eflint.t("5.5")
print('x = eflintT("5.5"):', x)
print()
x = eflint.t(55)
print('x = eflint.t(5):', x)
y = eflint.exp(x)
print('y = eflint.exp(x):', y)
z = eflint.exp(5.5)
print('z = eflint.exp(5.5):', z)
z = eflint.exp(5)
print('z = eflint.exp(5):', z)
z = eflint.exp("5.5")
print('z = eflint.exp("5.5"):', z)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D05b_EFlintc.py.
Notes regarding the implementation in C# and C++#
The C# source code for the modules eflint and eflintc can be found here: erealcplxflint.cs.
The C++ source code which is called from erealcplxflint.cs can be found here: UseXReal.cpp.
Binary floating point, quadruple precision: qflint and qflintc#
The C# modules qflint and qflintc provide a rich set of elementary and special real and complex scalar functions for the Quadruple and QuadrupleC data types, with the actual calculations done using the Arb and ArbC data types, which allows control of the absolute and relative error of the result.
Examples in C#, qflint#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some qflint functions");
SflintTest0();
SflintTest1();
}
General test code for C# can be found here
public static void QflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "QflintcTest0" + "\"" + ">");
var a = qflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = qflintc.abs(a);
Console.WriteLine("res1 = qflintc.abs(a): {0}", res1);
var res2 = qflintc.exp(a);
Console.WriteLine("res2 = qflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D06a_Qflint.cs.
Examples in C#, qflintc#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some qflint functions");
SflintTest0();
SflintTest1();
}
General test code for C# can be found here
public static void QflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "QflintcTest0" + "\"" + ">");
var a = qflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = qflintc.abs(a);
Console.WriteLine("res1 = qflintc.abs(a): {0}", res1);
var res2 = qflintc.exp(a);
Console.WriteLine("res2 = qflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D06b_Qflintc.cs.
Examples in Python, qflint#
General test code for Python can be found here
import math
from xlcalcnet import qflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_qflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = qflint.t(i)
print('x = qflint.t(i):', x)
x = qflint.t(5.7)
print('x = qflintT(5.7):', x)
x = qflint.t(5.7)
print('x = qflintT(5.7):', x)
x0 = qflint.t(2329456398453948563945639364827346)
print('x0 = qflintT(2329456398453948563945639364827346', x0)
x1 = qflint.t("2329456398453948563945639364827346")
print('x1 = qflint.t("2329456398453948563945639364827346"):', x1)
x = qflint.t("5.5")
print('x = qflintT("5.5"):', x)
print()
x = qflint.t(55)
print('x = qflint.t(5):', x)
y = qflint.exp(x)
print('y = qflint.exp(x):', y)
z = qflint.exp(5.5)
print('z = qflint.exp(5.5):', z)
z = qflint.exp(5)
print('z = qflint.exp(5):', z)
z = qflint.exp("5.5")
print('z = qflint.exp("5.5"):', z)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D06a_QFlint.py.
Examples in Python, qflintc#
General test code for Python can be found here
import math
from xlcalcnet import qflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_qflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = qflint.t(i)
print('x = qflint.t(i):', x)
x = qflint.t(5.7)
print('x = qflintT(5.7):', x)
x = qflint.t(5.7)
print('x = qflintT(5.7):', x)
x0 = qflint.t(2329456398453948563945639364827346)
print('x0 = qflintT(2329456398453948563945639364827346', x0)
x1 = qflint.t("2329456398453948563945639364827346")
print('x1 = qflint.t("2329456398453948563945639364827346"):', x1)
x = qflint.t("5.5")
print('x = qflintT("5.5"):', x)
print()
x = qflint.t(55)
print('x = qflint.t(5):', x)
y = qflint.exp(x)
print('y = qflint.exp(x):', y)
z = qflint.exp(5.5)
print('z = qflint.exp(5.5):', z)
z = qflint.exp(5)
print('z = qflint.exp(5):', z)
z = qflint.exp("5.5")
print('z = qflint.exp("5.5"):', z)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D06b_QFlintc.py.
Notes regarding the implementation in C# and C++#
The C# source code for the modules qflint and qflintc can be found here: qrealcplxflint.cs.
The C++ source code which is called from qrealcplxflint.cs can be found here: UseQReal.cpp.
Binary floating point, octuple precision: oflint and oflintc#
The C# modules oflint and oflintc provide a rich set of elementary and special real and complex scalar functions for the Octuple and OctupleC data types, with the actual calculations done using the Arb and ArbC data types, which allows control of the absolute and relative error of the result.
Examples in C#, oflint#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some oflint functions");
OflintTest0();
OflintTest1();
}
General test code for C# can be found here
public static void OflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "OflintcTest0" + "\"" + ">");
var a = qflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = qflintc.abs(a);
Console.WriteLine("res1 = qflintc.abs(a): {0}", res1);
var res2 = qflintc.exp(a);
Console.WriteLine("res2 = qflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D07a_Oflint.cs.
Examples in C#, oflintc#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some oflint functions");
OflintTest0();
OflintTest1();
}
General test code for C# can be found here
public static void OflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "OflintcTest0" + "\"" + ">");
var a = qflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = qflintc.abs(a);
Console.WriteLine("res1 = qflintc.abs(a): {0}", res1);
var res2 = qflintc.exp(a);
Console.WriteLine("res2 = qflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D07b_Oflintc.cs.
Examples in Python, oflint#
General test code for Python can be found here
import math
from xlcalcnet import oflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_oflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = oflint.t(i)
print('x = oflint.t(i):', x)
x = oflint.t(5.7)
print('x = oflintT(5.7):', x)
x = oflint.t(5.7)
print('x = oflintT(5.7):', x)
x0 = oflint.t(2329456398453948563945639364827346)
print('x0 = oflintT(2329456398453948563945639364827346', x0)
x1 = oflint.t("2329456398453948563945639364827346")
print('x1 = oflint.t("2329456398453948563945639364827346"):', x1)
x = oflint.t("5.5")
print('x = oflintT("5.5"):', x)
print()
x = oflint.t(55)
print('x = oflint.t(5):', x)
y = oflint.exp(x)
print('y = oflint.exp(x):', y)
z = oflint.exp(5.5)
print('z = oflint.exp(5.5):', z)
z = oflint.exp(5)
print('z = oflint.exp(5):', z)
z = oflint.exp("5.5")
print('z = oflint.exp("5.5"):', z)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D07a_OFlint.py.
Examples in Python, oflintc#
General test code for Python can be found here
import math
from xlcalcnet import oflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_oflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = oflint.t(i)
print('x = oflint.t(i):', x)
x = oflint.t(5.7)
print('x = oflintT(5.7):', x)
x = oflint.t(5.7)
print('x = oflintT(5.7):', x)
x0 = oflint.t(2329456398453948563945639364827346)
print('x0 = oflintT(2329456398453948563945639364827346', x0)
x1 = oflint.t("2329456398453948563945639364827346")
print('x1 = oflint.t("2329456398453948563945639364827346"):', x1)
x = oflint.t("5.5")
print('x = oflintT("5.5"):', x)
print()
x = oflint.t(55)
print('x = oflint.t(5):', x)
y = oflint.exp(x)
print('y = oflint.exp(x):', y)
z = oflint.exp(5.5)
print('z = oflint.exp(5.5):', z)
z = oflint.exp(5)
print('z = oflint.exp(5):', z)
z = oflint.exp("5.5")
print('z = oflint.exp("5.5"):', z)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D07b_OFlintc.py.
Notes regarding the implementation in C# and C++#
The C# source code for the modules oflint and oflintc can be found here: orealcplxflint.cs.
The C++ source code which is called from orealcplxflint.cs can be found here: UseOReal.cpp.
Binary floating point, multiple precision: mflint, mflintc#
The C# modules mflint and mflintc provide a rich set of elementary and special real and complex scalar functions for the Octuple and OctupleC data types, with the actual calculations done using the Arb and ArbC data types, which allows control of the absolute and relative error of the result.
Examples in C#, mflint#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some mflint functions");
MflintTest0();
MflintTest1();
}
General test code for C# can be found here
public static void MflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "MflintcTest0" + "\"" + ">");
var a = qflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = qflintc.abs(a);
Console.WriteLine("res1 = qflintc.abs(a): {0}", res1);
var res2 = qflintc.exp(a);
Console.WriteLine("res2 = qflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D08a_Mflint.cs.
Examples in C#, mflintc#
General test code for C# can be found here
#region Usings
using System;
using System.Numerics;
using FixedPrecNet;
#endregion
public static void MainTests()
{
Console.WriteLine("Demo of some mflint functions");
MflintTest0();
MflintTest1();
}
General test code for C# can be found here
public static void MflintcTest0()
{
Console.WriteLine("<H1 Title=" + "\"" + "MflintcTest0" + "\"" + ">");
var a = qflintc.t(3.5, 6.3);
Console.WriteLine("a: {0}", a);
var res1 = qflintc.abs(a);
Console.WriteLine("res1 = qflintc.abs(a): {0}", res1);
var res2 = qflintc.exp(a);
Console.WriteLine("res2 = qflintc.exp(a): {0}", res2);
Console.WriteLine("</H1>");
}
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D08b_Mflintc.cs.
Examples in Python, mflint#
General test code for Python can be found here
import math
from xlcalcnet import mflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_mflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = mflint.t(i)
print('x = mflint.t(i):', x)
x = mflint.t(5.7)
print('x = mflintT(5.7):', x)
x = mflint.t(5.7)
print('x = mflintT(5.7):', x)
x0 = mflint.t(2329456398453948563945639364827346)
print('x0 = mflintT(2329456398453948563945639364827346', x0)
x1 = mflint.t("2329456398453948563945639364827346")
print('x1 = mflint.t("2329456398453948563945639364827346"):', x1)
x = mflint.t("5.5")
print('x = mflintT("5.5"):', x)
print()
x = mflint.t(55)
print('x = mflint.t(5):', x)
y = mflint.exp(x)
print('y = mflint.exp(x):', y)
z = mflint.exp(5.5)
print('z = mflint.exp(5.5):', z)
z = mflint.exp(5)
print('z = mflint.exp(5):', z)
z = mflint.exp("5.5")
print('z = mflint.exp("5.5"):', z)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D08a_MFlint.py.
Examples in Python, mflintc#
General test code for Python can be found here
import math
from xlcalcnet import mflint
from decimal import Decimal
from fractions import Fraction
i = 2329456398453948563945639364827346384753984573984573
def main_tests():
general_assignments()
functions_with_argument_conversion()
arithmetic_operators_with_mflint()
General test code can be found here
def general_assignments():
print()
print('<H1 Title="General assignments and conversions">')
x = mflint.t(i)
print('x = mflint.t(i):', x)
x = mflint.t(5.7)
print('x = mflintT(5.7):', x)
x = mflint.t(5.7)
print('x = mflintT(5.7):', x)
x0 = mflint.t(2329456398453948563945639364827346)
print('x0 = mflintT(2329456398453948563945639364827346', x0)
x1 = mflint.t("2329456398453948563945639364827346")
print('x1 = mflint.t("2329456398453948563945639364827346"):', x1)
x = mflint.t("5.5")
print('x = mflintT("5.5"):', x)
print()
x = mflint.t(55)
print('x = mflint.t(5):', x)
y = mflint.exp(x)
print('y = mflint.exp(x):', y)
z = mflint.exp(5.5)
print('z = mflint.exp(5.5):', z)
z = mflint.exp(5)
print('z = mflint.exp(5):', z)
z = mflint.exp("5.5")
print('z = mflint.exp("5.5"):', z)
print('</H1>')
The above and additional examples can be found online in the DataXlCalcNet repository or in the corresponding local DataXlCalcNet folder in the file D08b_MFlintc.py.
Notes regarding the implementation in C# and C++#
The C# source code for the modules mflint and mflintc can be found here: mrealcplxflint.cs.
The C++ source code which is called from mrealcplxflint.cs can be found here: UseMpfr.cpp.
Building the underlying C# and C/C++ libraries#
The XlCalcNet2 library, which is licensed under the LGPL-3.0 and is therefore provided in a separate repository, is based on Boost Math, Boost Multiprecision, Boost Odeint, Eigen, GMP, MPFR, MPC and FLINT and provides functions for the same data types as XlCalcNet and also in arbitrary precision, which are available to the user both from C# and Python.
The SourceOfBasicLibraries2 repository provides copies of the source code of the underlying numerical libraries, which are required (in addition to Eigen and Boost, see SourceOfBasicLibraries) to build the XlCalcNet2 library.. These copies also include small patches and .sh files, as required. They are provided to make it easier to reproduce the compilation results, as distributed as part of the XlCalcNet2 repository.
GMP (version 6.3.0)#
Text descibing GMP, including config files
MPFR (version 4.2.2)#
Text descibing MPFR, including config files
MPC (version 1.3.1)#
Text descibing MPC, including config files
FLINT (version 3.4.0)#
Text descibing FLINT, including config files
ArbPreNet (version 1.0.0)#
Text descibing ArbPreNet