CLN, a Class Library for Numbers

• 1. Introduction
• 2. Installation
  • 2.1 Prerequisites
    • 2.1.1 C++ compiler
    • 2.1.2 Make utility
    • 2.1.3 Sed utility
  • 2.2 Building the library
    • 2.2.1 Using the GNU MP Library
  • 2.3 Installing the library
  • 2.4 Cleaning up
• 3. Ordinary number types
  • 3.1 Exact numbers
  • 3.2 Floating-point numbers
  • 3.3 Complex numbers
  • 3.4 Conversions
• 4. Functions on numbers
  • 4.1 Constructing numbers
    • 4.1.1 Constructing integers
    • 4.1.2 Constructing rational numbers
    • 4.1.3 Constructing floating-point numbers
    • 4.1.4 Constructing complex numbers
  • 4.2 Elementary functions
  • 4.3 Elementary rational functions
  • 4.4 Elementary complex functions
  • 4.5 Comparisons
  • 4.6 Rounding functions
  • 4.7 Roots
  • 4.8 Transcendental functions
    • 4.8.1 Exponential and logarithmic functions
    • 4.8.2 Trigonometric functions
    • 4.8.3 Hyperbolic functions
    • 4.8.4 Euler gamma
    • 4.8.5 Riemann zeta
  • 4.9 Functions on integers
    • 4.9.1 Logical functions
    • 4.9.2 Number theoretic functions
    • 4.9.3 Combinatorial functions
  • 4.10 Functions on floating-point numbers
  • 4.11 Conversion functions
    • 4.11.1 Conversion to floating-point numbers
    • 4.11.2 Conversion to rational numbers
  • 4.12 Random number generators
  • 4.13 Obfuscating operators
• 5. Input/Output
  • 5.1 Internal and printed representation
  • 5.2 Input functions
  • 5.3 Output functions
• 6. Rings
• 7. Modular integers
  • 7.1 Modular integer rings
  • 7.2 Functions on modular integers
• 8. Symbolic data types
  • 8.1 Strings
  • 8.2 Symbols
• 9. Univariate polynomials
  • 9.1 Univariate polynomial rings
  • 9.2 Functions on univariate polynomials
  • 9.3 Special polynomials
• 10. Internals
  • 10.1 Why C++ ?
  • 10.2 Memory efficiency
  • 10.3 Speed efficiency
  • 10.4 Garbage collection
• 11. Using the library
  • 11.1 Compiler options
  • 11.2 Include files
  • 11.3 An Example
  • 11.4 Debugging support
• 12. Customizing
  • 12.1 Error handling
  • 12.2 Floating-point underflow
  • 12.3 Customizing I/O
  • 12.4 Customizing the memory allocator
• Index

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