sicmutils.abstract.number
Symbolic expressions in SICMUtils are created through the literal-number
constructor, or implicitly by performing arithmetic between symbols and
numbers.
This namespace implements the literal-number constructor and installs the
underlying type into the generic arithmetic system.
Symbolic expressions in SICMUtils are created through the [[literal-number]] constructor, or implicitly by performing arithmetic between symbols and numbers. This namespace implements the [[literal-number]] constructor and installs the underlying type into the generic arithmetic system.
abstract-number?clj/s
(abstract-number? x)Returns true if x is:
- a symbolic expression
- some object wrapped by a call to
literal-number - a symbol (which implicitly acts as a
literal-number)
See literal-number? for a similar function that won't respond true to
symbols, only to explicit symbolic expressions or wrapped literal numbers.
Returns true if `x` is: - a symbolic expression - some object wrapped by a call to [[literal-number]] - a symbol (which implicitly acts as a [[literal-number]]) See [[literal-number?]] for a similar function that won't respond true to symbols, only to explicit symbolic expressions or wrapped literal numbers.
literal-numberclj/s
(literal-number x)Returns its argument, wrapped in a marker type that responds to the generic
operations registered in sicmutils.numsymb.
Symbols are automatically treated as literal-number instances, so
(* 10 (literal-number 'x))
is equivalent to
(* 10 'x)
If you pass an actual number, sicmutils will attempt to preserve exact values through various operations:
(g/+ 1 (g/cos (g/* 2 (literal-number 4))))
;;=> (+ 1 (cos 8))
Notice that the (g/* 2 ...) is evaluated, but cos evaluation is deferred,
since the result is inexact. On the other hand, if the number is inexact to
begin with:
(g/+ 1 (g/cos (g/* 2 (literal-number 2.2))))
;;=> 0.6926671300215806
the system will go ahead and evaluate it.
Returns its argument, wrapped in a marker type that responds to the generic operations registered in [[sicmutils.numsymb]]. Symbols are automatically treated as [[literal-number]] instances, so ```clojure (* 10 (literal-number 'x)) ``` is equivalent to ```clojure (* 10 'x) ``` If you pass an actual number, sicmutils will attempt to preserve exact values through various operations: ```clojure (g/+ 1 (g/cos (g/* 2 (literal-number 4)))) ;;=> (+ 1 (cos 8)) ``` Notice that the `(g/* 2 ...)` is evaluated, but `cos` evaluation is deferred, since the result is inexact. On the other hand, if the number is inexact to begin with: ```clojure (g/+ 1 (g/cos (g/* 2 (literal-number 2.2)))) ;;=> 0.6926671300215806 ``` the system will go ahead and evaluate it.
literal-number?clj/s
(literal-number? x)Returns true if x is an explicit symbolic expression or something passed to
literal-number, false otherwise.
See abstract-number? for a similar function that also responds true to
symbols.
Returns true if `x` is an explicit symbolic expression or something passed to `literal-number`, false otherwise. See [[abstract-number?]] for a similar function that also responds true to symbols.
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