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DelphiBigNumbers

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BigInteger and BigDecimal for Delphi

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최종 버전 다운로드 (.zip)

- bases.inc
- CompilerAndRTLVersions.pas
- GenerateBaseConversionTables.dpr
- GenerateBaseConversionTables.dproj
- GenerateBaseConversionTables.res
- Velthuis.BigDecimals.pas
- Velthuis.BigIntegers.operators.hpp
- Velthuis.BigIntegers.pas
- Velthuis.BigIntegers.Primes.pas
- Velthuis.BigRationals.pas
- Velthuis.ExactFloatStrings.pas
- Velthuis.FloatUtils.pas
- Velthuis.Loggers.pas
- Velthuis.Numerics.pas
- Velthuis.RandomNumbers.pas
- Velthuis.Sizes.pas
- Velthuis.StrConsts.pas
- Velthuis.XorShifts.pas
- - BigDecimalDevelopmentTests.dpr
  - BigDecimalDevelopmentTests.dproj
  - BigDecimalDevelopmentTests.res
  - BigDecimalTestData.inc
  - TestBigDecimals.pas
- - BigIntegerArithmeticResults.inc
  - BigIntegerBitwiseResults.inc
  - BigIntegerConvertResults.inc
  - BigIntegerDevelopmentTests.dpr
  - BigIntegerDevelopmentTests.dproj
  - BigIntegerDevelopmentTests.res
  - BigIntegerDevelopmentTests.todo
  - BigIntegerMathResults.inc
  - BigIntegerTestResults.inc
  - TestBigIntegers.pas
- - BigRationalDevelopmentTests.dpr
  - BigRationalDevelopmentTests.dproj
  - BigRationalDevelopmentTests.res
  - BigRationalTestData.inc
  - TestBigRationals.pas
- BigNumberTests.groupproj
- BigNumbers.dpk
- BigNumbers.dproj
- BigNumbers.res
- BigNumberVisualizers.dpr
- BigNumberVisualizers.dproj
- BigNumberVisualizers.res
- BigNumVisualizers.dpk
- BigNumVisualizers.dproj
- BigNumVisualizers.res
- LibSuffixes.inc
- Velthuis.BigIntegers.Visualizers.pas
.gitattributes
.gitignore
bigdecimals.pdf
bigintegers.pdf
LICENSE.md
README.md

// repository documentation

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# BigNumbers

### BigInteger, BigDecimal and BigRational for Delphi

These are implementations of the multi-precision `BigInteger`, `BigDecimal` and `BigRational` types, built from scratch.

## BigInteger

`BigInteger` is a multi-precision integer. Its size is only limited by available memory.

`BigInteger` is built for ease of use, speed and reliability. It is written in plain Object Pascal and x86-32/x86-64 assembler, but every assembler function has a so called "pure Pascal" equivalent as well. It is modelled after the `BigInteger` type in .NET, but is far more optimized than that and provides an interface that is more in line with Delphi. It uses higher level algorithms like *Burnikel-Ziegler*, *Karatsuba*, *Toom-Cook*, etc. to make things fast even for very large integers. It offers overloaded operators and all the usual functions. More information can be found on the [BigIntegers unit](http://www.rvelthuis.de/programs/bigintegers.html) page on my website.

## BigDecimal

`BigDecimal` is a multi-precision decimal floating point type. It can have an almost unlimited precision.

`BigDecimal` is equally built for ease of use and reliability. It builds on top of BigInteger: the internal representation is a BigInteger for the significant digits, and a scale to indicate the decimals. It also offers overloaded operators and all the usual functions. This is modelled after the `BigDecimal` type in Java, but the interface is more in line with Delphi. More information about this type can be found on the [BigDecimals unit](http://www.rvelthuis.de/programs/bigdecimals.html) page on my website.

## BigRational

A type that holds a number as fraction (ratio) of two `BigIntegers`, a numerator and a denominator, i.e. `1/7` or `100/3`. 
This type is very good at simple arithmetic (`+`, `-`, `*`, `/`), since it doesn't lose precision or need any rounding. Still a work in progress...

## C++Builder

The newest version of BigIntegers has additional overloaded operators and additional constructors that are compatible
with C++Builder. So now you simply include:

#include "Velthuis.BigIntegers.hpp"

and then you can do things like:

BigInteger a = 17;
    BigInteger b = "123";
    BigInteger c = a + b;

## Directory structure

```
BigNumbers
   DataGenerators
      BigDecimals
         BigDecimalTestDataGenerator /...       --- Test data generator in Java; 
	                                            open with NetBeans 8
      BigIntegers
         BigIntegerTestGenerator /...           --- Test data generator in C#; open .sln file with 
                                                    Visual Studio 2010 (Express) or newer
	 Java/BigIntegerTestDataGenerator /...  --- Newer test data generator in Java; 
	                                            open with NetBeans 8
      BigRationals                                   
         BigRationalTestDataGenerator /...      --- Test data generator in Java, using the Apache 
                                                    Commons-Math library.
                                                    Open with NetBeans 8. Might require installation 
                                                    of the Apache libs.
   Source                                       --- Sources for units and for bases.inc generator
   Tests
      BigDecimals /...                          --- Sources for DUnit tests for BigDecimals
      BigIntegers /...                          --- Sources for DUnit tests for BigIntegers
      BigRationals /...                         --- Sources for DUnit tests for BigRationals
   Visualizers                                  --- Sources for IDE debug visualizer DLL and packages for BigInteger 
                                                    and BigDecimal   
```