# [−][src]Crate decorum

Making floating-point values behave: traits, ordering, equality, hashing, and constraints for floating-point types.

Decorum provides proxy (wrapper) types and functions that canonicalize floating-point values and provide a total ordering. This allows floating-point values to be hashed and compared. Proxy types also provide contraints on the values that may be represented and will panic if those constraints are violated. See the README.

# Ordering

`NaN`

and zero are canonicalized to a single representation (called `CNaN`

and `C0`

respectively) to provide the following total ordering for all
proxy types and ordering functions: `[ -INF | ... | C0 | ... | +INF | CNaN ]`

Note that `NaN`

is canonicalized to `CNaN`

, which has a single
representation and supports the relations `CNaN = CNaN`

and `CNaN > x | x ≠ CNaN`

. `+0`

and `-0`

are also canonicalized to `C0`

, which is equivalent to
`+0`

.

# Constraints

The `NotNan`

and `Finite`

types wrap raw floating-point values and disallow
certain values like `NaN`

, `INF`

, and `-INF`

. They will panic if an
operation or conversion invalidates these constraints. The `Ordered`

type
allows any valid IEEE-754 value (there are no constraints). For most use
cases, either `Ordered`

or `NotNan`

are appropriate.

## Structs

ConstrainedFloat | Floating-point proxy that provides ordering, hashing, and value constraints. |

## Traits

Encoding | Floating-point encoding. |

Infinite | A floating-point value that can be infinite ( |

Nan | A floating-point value that can be |

Primitive | A primitive floating-point value. |

Real | A value that can represent a real number. |

## Functions

cmp_float | Compares primitive floating-point values. |

cmp_float_array | Compares primitive floating-point arrays. |

cmp_float_slice | Compares primitive floating-point slices. |

eq_float | Determines if primitive floating-point values are equal. |

eq_float_array | Determines if primitive floating-point arrays are equal. |

eq_float_slice | Determines if primitive floating-point slices are equal. |

hash_float | Hashes a primitive floating-point value. |

hash_float_array | Hashes an array of primitive floating-point values. |

hash_float_slice | Hashes a slice of primitive floating-point values. |

## Type Definitions

Finite | An ordered and canonicalized floating-point value that must represent a real number. |

N32 | An alias for a floating-point value that cannot be |

N64 | An alias for a floating-point value that cannot be |

NotNan | An ordered and canonicalized floating-point value that cannot be |

Ordered | An ordered and canonicalized floating-point value. |

R32 | An alias for a floating-point value that represents a real number. |

R64 | An alias for a floating-point value that represents a real number. |