BS ISO/IEC 10967-3:2006

Foreword
Introduction
1 Scope
  1.1 Inclusions
  1.2 Exclusions
2 Conformity
3 Normative references
4 Symbols and definitions
  4.1 Symbols
      4.1.1 Sets and intervals
      4.1.2 Operators and relations
      4.1.3 Mathematical functions
      4.1.4 Exceptional values
      4.1.5 Datatypes and special values
      4.1.6 Complex value constructors and complex datatype
            constructors
  4.2 Definitions of terms
5 Specifications for imaginary and complex datatypes and
  operations
  5.1 Imaginary and complex integer datatypes and operations
      5.1.1 The complex integer result helper function
      5.1.2 Imaginary and complex integer operations
  5.2 Imaginary and complex floating point datatypes and
      operations
      5.2.1 Maximum error requirements
      5.2.2 Sign requirements
      5.2.3 Monotonicity requirements
      5.2.4 The complex floating point result helper functions
      5.2.5 Basic arithmetic for complex floating point
      5.2.6 Complex sign, multiplication, and division
      5.2.7 Operations for conversion from polar to Cartesian
  5.3 Elementary transcendental imaginary and complex floating
      point operations
      5.3.1 Operations for exponentiations and logarithms
      5.3.2 Operations for radian trigonometric elementary
            functions
      5.3.3 Operations for hyperbolic elementary functions
  5.4 Operations for conversion between imaginary and complex
      numeric datatypes
      5.4.1 Integer to complex integer conversions
      5.4.2 Floating point to complex floating point conversions
  5.5 Support for imaginary and complex numerals
6 Notification
  6.1 Continuation values
7 Relationship with language standards
8 Documentation requirements
Annex A (normative) Partial conformity
        A.1 Maximum error relaxation
        A.2 Extra accuracy requirements relaxation
        A.3 Relationships to other operations relaxation
        A.4 Part 1 and part 2 requirements relaxation
Annex B (informative) Rationale
        B.1 Scope
            B.1.1 Inclusions
            B.1.2 Exclusions
        B.2 Conformity
        B.3 Normative references
        B.4 Symbols and definitions
            B.4.1 Symbols
            B.4.2 Definitions of terms
        B.5 Specifications for the imaginary and complex
            datatypes and operations
            B.5.1 Imaginary and complex integer datatypes
                  and operations
            B.5.2 Imaginary and complex floating point datatypes
                  and operations
            B.5.3 Elementary transcendental imaginary and
                  complex floating point operations
            B.5.4 Operations for conversion between imaginary
                  and complex numeric datatypes
            B.5.5 Support for imaginary and complex numerals
        B.6 Notification
            B.6.1 Continuation values
        B.7 Relationship with language standards
        B.8 Documentation requirements
Annex C (informative) Example bindings for specific languages
        C.1 Ada
        C.2 C
        C.3 C++
        C.4 Fortran
        C.5 Common Lisp
Annex D (informative) Bibliography
Annex E (informative) Cross reference
Annex F (informative) Possible changes to part 2

Describes the properties of numerical approximations for complex arithmetic operations and many of the complex elementary numerical functions available in a variety of programming languages in common use for mathematical and numerical applications.