From 33831837f3e17f6369097327005699a9b28d06c7 Mon Sep 17 00:00:00 2001 From: Marshall Lochbaum Date: Fri, 3 Dec 2021 21:15:30 -0500 Subject: Separate complex number specification into its own extension --- docs/spec/types.html | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'docs/spec/types.html') diff --git a/docs/spec/types.html b/docs/spec/types.html index 50d96bf0..8f10434b 100644 --- a/docs/spec/types.html +++ b/docs/spec/types.html @@ -24,5 +24,5 @@

A namespace holds the variables used to evaluate a block or program, as defined in the scoping rules. The observable aspects of a namespace are that it can be compared for equality with other namespaces and that it exposes variables associated with certain names, whose values can be queried or set.

To begin the data types, a character is a Unicode code point, that is, its value is a non-negative integer within the ranges defined by Unicode (however, it is distinct from this number as a BQN value). Characters are ordered by this numeric value. BQN deals with code points as abstract entities and does not expose encodings such as UTF-8 or UTF-16.

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The precise type of a number may vary across BQN implementations or instances. A real number is a member of some supported subset of the extended real numbers, that is, the real numbers and positive or negative infinity. Some system must be defined for rounding an arbitrary real number to a member of this subset, and the basic arithmetic operations add, subtract, multiply, divide, and natural exponent (base e) are defined by performing these operations on exact real values and rounding the result. The Power function (dyadic ⋆) is also used but need not be exactly rounded. A complex number is a value with two real number components, a real part and an imaginary part. A BQN implementation can either support real numbers only, or complex numbers.

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The precise type of a number may vary across BQN implementations or instances. The type must be a subset of the extended real numbers, that is, the real numbers and positive or negative infinity. Some system must be defined for rounding an arbitrary real number to a member of this subset, and the basic arithmetic operations add, subtract, multiply, divide, and natural exponent (base e) are defined by performing these operations on exact real values and rounding the result. The Power function (dyadic ⋆) is also used but need not be exactly rounded. The complex number extension describes an optional extension to use complex numbers instead of reals only.

An array is a rectangular collection of data. It is defined by a shape, which is a list of non-negative integer lengths, and a ravel, which is a list of elements whose length (the array's bound) is the product of all lengths in the shape. Arrays are defined inductively: any value (of a value or function type) can be used as an element of an array, but it is not possible for an array to contain itself as an element, or an array that contains itself, and so on. Types other than array are called atomic types, and their members are called atoms.

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