BigInteger, BigDecimal and BigRational for Delphi
These are implementations of the multi-precision
BigRational types, built from scratch.
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 page on my website.
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 page on my website.
A type that holds a number as fraction (ratio) of two
BigIntegers, a numerator and a denominator, i.e.
This type is very good at simple arithmetic (
/), since it doesn't lose precision or need any rounding. Still a work in progress...
The newest version of BigIntegers has additional overloaded operators and additional constructors that are compatible with C++Builder. So now you simply include:
and then you can do things like:
BigInteger a = 17; BigInteger b = "123"; BigInteger c = a + b;
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