cond-values: add with example
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@ -0,0 +1,187 @@
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;;; Copyright 2024 Peter McGoron
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;;; Licensed under the Apache License, Version 2.0 (the "License");
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;;; you may not use this file except in compliance with the License.
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;;;
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;;;
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;;; implied. See the License for the specific language governing
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;;; permissions and limitations under the License.
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(import srfi-1)
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;;; AFTER executes a body after multiple tests.
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;;;
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;;; The form of the syntax is
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;;; (AFTER (BINDING ...) BODY ...)
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;;;
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;;; where BODY ... is a Scheme body. Each BINDING is evaluated in order,
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;;; where BINDING is
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;;;
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;;; (VALUE => FORMAL): FORMAL is a LAMBDA formal and VALUE is a something
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;;; that returns multiple values. If VALUE evaluates to no values, the
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;;; test fails and the entire AFTER form returns no values.
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;;;
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;;; (WHEN TEST): Evaluates TEST. If TEST is #F then the entire AFTER form
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;;; returns no values.
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;;;
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;;; If all BINDINGs pass, then BODY is executed and its return value is
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;;; the return of AFTER.
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(define-syntax after
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(syntax-rules (when let =>)
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((after ((let value => formal) conditionals ...) body ...)
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(call-with-values (lambda () value)
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(lambda returned
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(if (null? returned)
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(values)
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(apply (lambda formal (after (conditionals ...) body ...))
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returned)))))
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((after ((let formal value ...) conditionals ...) body ...)
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(after ((let (begin value ...) => formal) conditionals ...)
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body ...))
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((after ((when boolean) conditionals ...) body ...)
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(if boolean
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(after (conditionals ...) body ...)
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(values)))
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((after () body ...)
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(begin body ...))))
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(define-syntax apply-after
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(syntax-rules ()
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((apply-after value receiver)
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(after ((let value => formal))
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(apply receiver formal)))))
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;;; (COND-VALUES CLAUSE ...) is like COND, but it tests for empty VALUES
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;;; instead of #F.
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;;;
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;;; Each CLAUSE is:
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;;;
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;;; (BODY ...): Executes BODY. If BODY returns no values, then try the
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;;; rest of the clauses. If BODY returns values, those values are the
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;;; return values of COND-VALUES.
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;;; (ELSE BODY ...): Must occur at the end. Executes BODY and returns
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;;; whatever BODY returns.
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;;;
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;;; If there is no ELSE clause and all CLAUSEs fail, COND-VALUES returns
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;;; no values.
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(define-syntax cond-values
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(syntax-rules (else)
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((cond-values (else body ...))
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(begin body ...))
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((cond-values value rest ...)
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(call-with-values (lambda () value)
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(lambda returned
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(if (null? returned)
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(cond-values rest ...)
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(apply values returned)))))
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((cond-values) (values))))
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;;; (DEFINE-RECORD-TYPE/DESTRUCTOR TYPENAME
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;;; (CSTR FIELDS ...)
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;;; PREDICATE?
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;;; DESTRUCTOR
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;;; (FIELD GETTER SETTER ...)
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;;; ...)
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;;;
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;;; creates an SRFI-9/R7RS record type. The syntax is the same, except
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||||||
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;;; that after the PREDICATE field and before the getter/setter fields
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||||||
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;;; is an identifier, DESTRUCTOR.
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||||||
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;;;
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||||||
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;;; This macro defines a procedure (DESTRUCTOR RECORD) that returns each
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||||||
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;;; field of RECORD as values, or no values if RECORD is not a TYPENAME
|
||||||
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;;; record.
|
||||||
|
(define-syntax define-record-type/destructor
|
||||||
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(syntax-rules ()
|
||||||
|
((define-record-type/destructor typename
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||||||
|
(cstr fields ...)
|
||||||
|
predicate?
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||||||
|
destructor
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||||||
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(field getter setter ...)
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||||||
|
...)
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||||||
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(begin
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||||||
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(define-record-type typename
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||||||
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(cstr fields ...)
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||||||
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predicate?
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||||||
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(field getter setter ...)
|
||||||
|
...)
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||||||
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(define (destructor record)
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||||||
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(after ((when (predicate? record)))
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||||||
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(values (getter record) ...)))))))
|
||||||
|
|
||||||
|
;;; ;;;;;;;;;;;;;
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||||||
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;;; Helper functions
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||||||
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;;; ;;;;;;;;;;;;;
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||||||
|
|
||||||
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;;; Returns the CAR and CDR of X as values when X is a pair, and no values
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||||||
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;;; otherwise.
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||||||
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(define (pair-d x)
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||||||
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(after ((when (pair? x)))
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||||||
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(values (car x) (cdr x))))
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||||||
|
|
||||||
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(define (assq-d val alist)
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||||||
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(let ((pair (assq val alist)))
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||||||
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(after ((when (pair? pair)))
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||||||
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(cdr pair))))
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||||||
|
|
||||||
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;;; Returns the list as values when WHOLE-LIST has length NUM, and no
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||||||
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;;; values otherwise.
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||||||
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(define (length* whole-list num)
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||||||
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(when (<= num 0)
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||||||
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(error "invalid number" 'length* whole-list num))
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||||||
|
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||||||
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(let length* ((lst whole-list)
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||||||
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(num num))
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||||||
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(cond-values
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||||||
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(after ((when (null? lst))
|
||||||
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(when (= num 0)))
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||||||
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(apply values whole-list))
|
||||||
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(after ((when (pair? lst))
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||||||
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(when (> num 0)))
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||||||
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(length* (cdr lst) (- num 1))))))
|
||||||
|
|
||||||
|
;;; Returns the list as values when WHOLE-LIST has at least length NUM,
|
||||||
|
;;; and no values otherwise.
|
||||||
|
(define (length-at-least whole-list num)
|
||||||
|
(when (<= num 0)
|
||||||
|
(error "invalid number" 'length-at-least whole-list num))
|
||||||
|
|
||||||
|
(let length-at-least ((lst whole-list)
|
||||||
|
(num num))
|
||||||
|
(cond-values
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||||||
|
(after ((when (= num 0))
|
||||||
|
(when (or (null? lst)
|
||||||
|
(pair? lst))))
|
||||||
|
(apply values whole-list))
|
||||||
|
(after ((when (> num 0))
|
||||||
|
(when (pair? lst)))
|
||||||
|
(length-at-least (cdr lst) (- num 1))))))
|
||||||
|
|
||||||
|
;;; Helper function.
|
||||||
|
(define (null-cdr? lst) (null? (cdr lst)))
|
||||||
|
|
||||||
|
;;; MAP-VALUES returns (VALUES L1 L2 ...), where L1 is the first
|
||||||
|
;;; value returned from (F (CAR LST)), (F (CADR LST)), ... and so on.
|
||||||
|
(define (map-values f . lists)
|
||||||
|
(define (null-cdr? lst) (null? (cdr lst)))
|
||||||
|
(let-values ((new-values (apply f (map car lists))))
|
||||||
|
(if (any null-cdr? lists)
|
||||||
|
(apply values (map list new-values))
|
||||||
|
(let-values ((returned (apply map-values f (map cdr lists))))
|
||||||
|
(apply values (map cons new-values returned))))))
|
||||||
|
|
||||||
|
;;; (ANY-VALUES F (A1 A2 ...) (B1 B2 ...) ...) runs
|
||||||
|
;;; (F A1 B1 ...) and checks if there any returned values. If there are
|
||||||
|
;;; none, runs (F A2 B2 ...), and so on.
|
||||||
|
;;;
|
||||||
|
;;; If any of the lists end, then ANY-VALUES returns no values.
|
||||||
|
(define (any-values f . lists)
|
||||||
|
(after ((when (not (null? lists)))
|
||||||
|
(when (all pair? lists)))
|
||||||
|
(let-values ((returned (apply f (map car lists))))
|
||||||
|
(if (null? returned)
|
||||||
|
(apply any-values f (map cdr lists))
|
||||||
|
(apply values returned)))))
|
|
@ -0,0 +1,167 @@
|
||||||
|
;;; Copyright 2024 Peter McGoron
|
||||||
|
;;; Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
;;; you may not use this file except in compliance with the License.
|
||||||
|
;;; You may obtain a copy of the License at
|
||||||
|
;;;
|
||||||
|
;;; http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
;;;
|
||||||
|
;;; Unless required by applicable law or agreed to in writing, software
|
||||||
|
;;; distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
;;; WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
|
||||||
|
;;; implied. See the License for the specific language governing
|
||||||
|
;;; permissions and limitations under the License.
|
||||||
|
;;;
|
||||||
|
;;; Example of COND-VALUES using units.
|
||||||
|
|
||||||
|
(load "cond-values.scm")
|
||||||
|
|
||||||
|
(define *si-prefixes*
|
||||||
|
'((quetta . #e1e30)
|
||||||
|
(ronna . #e1e27)
|
||||||
|
(yotta . #e1e24)
|
||||||
|
(zetta . #e1e21)
|
||||||
|
(exa . #e1e18)
|
||||||
|
(peta . #e1e15)
|
||||||
|
(tera . #e1e12)
|
||||||
|
(giga . #e1e9)
|
||||||
|
(mega . #e1e6)
|
||||||
|
(kilo . #e1e3)
|
||||||
|
(hecto . #e1e2)
|
||||||
|
(deka . #e1e1)
|
||||||
|
(deci . #e1e-1)
|
||||||
|
(centi . #e1e-2)
|
||||||
|
(milli . #e1e-3)
|
||||||
|
(micro . #e1e-6)
|
||||||
|
(nano . #e1e-9)
|
||||||
|
(pico . #e1e-12)
|
||||||
|
(femto . #e1e-15)
|
||||||
|
(atto . #e1e-18)
|
||||||
|
(zepto . #e1e-21)
|
||||||
|
(yocto . #e1e-24)
|
||||||
|
(ronto . #e1e-27)
|
||||||
|
(quecto . #e1e-30)))
|
||||||
|
|
||||||
|
(define *si-algebra*
|
||||||
|
`((/ . ,/)
|
||||||
|
(* . ,*)))
|
||||||
|
|
||||||
|
(define (atom-d unit)
|
||||||
|
(after ((when (or (symbol? unit)
|
||||||
|
(and (number? unit) (exact? unit)))))
|
||||||
|
unit))
|
||||||
|
|
||||||
|
(define (prefixed-d unit)
|
||||||
|
(after ((let (length* unit 2) => (head unit))
|
||||||
|
(let (assq-d head *si-prefixes*) => (factor)))
|
||||||
|
(values factor unit)))
|
||||||
|
|
||||||
|
(define (power-d unit)
|
||||||
|
(after ((let (length* unit 3) => (head number unit))
|
||||||
|
(when (eq? head '^)))
|
||||||
|
(values number unit)))
|
||||||
|
|
||||||
|
(define (algebra-function-d unit)
|
||||||
|
(after ((let (length-at-least unit 3) => (head . rest))
|
||||||
|
(let (assq-d head *si-algebra*) => (procedure)))
|
||||||
|
(values head procedure rest)))
|
||||||
|
|
||||||
|
(define (remove-prefixes unit)
|
||||||
|
(cond-values
|
||||||
|
(after ((let (atom-d unit) => (unit)))
|
||||||
|
(values 1 unit))
|
||||||
|
;;
|
||||||
|
(after ((let (prefixed-d unit) => (factor unit)))
|
||||||
|
(let-values (((sub-factor unit-w/o-factors)
|
||||||
|
(remove-prefixes unit)))
|
||||||
|
(values (* sub-factor factor) unit-w/o-factors)))
|
||||||
|
;;
|
||||||
|
(after ((let (power-d unit) => (power unit)))
|
||||||
|
(let-values (((sub-factor sub-unit)
|
||||||
|
(remove-prefixes unit)))
|
||||||
|
(values (expt sub-factor power)
|
||||||
|
(list '^ power sub-unit))))
|
||||||
|
;;
|
||||||
|
(after ((let (algebra-function-d unit) => (head proc units)))
|
||||||
|
(let-values (((factors units)
|
||||||
|
(map-values remove-prefixes units)))
|
||||||
|
(values (apply proc factors)
|
||||||
|
(cons head units))))
|
||||||
|
(else (error "invalid unit" unit))))
|
||||||
|
|
||||||
|
(remove-prefixes '(/ (* (centi meter) (centi meter))
|
||||||
|
volt
|
||||||
|
second))
|
||||||
|
(remove-prefixes '(/ (^ 2 (centi meter))
|
||||||
|
volt
|
||||||
|
second))
|
||||||
|
|
||||||
|
(define (make-unit-destructor atom prefixed power algebra-function on-else)
|
||||||
|
(lambda (unit)
|
||||||
|
(cond-values
|
||||||
|
(apply-after (atom-d unit) atom)
|
||||||
|
(apply-after (prefixed-d unit) prefixed)
|
||||||
|
(apply-after (power-d unit) power)
|
||||||
|
(apply-after (algebra-function-d unit) algebra-function)
|
||||||
|
(else (on-else unit)))))
|
||||||
|
|
||||||
|
(import r7rs)
|
||||||
|
|
||||||
|
(define (remove-prefixes unit)
|
||||||
|
(define (on-atom unit)
|
||||||
|
(values 1 unit))
|
||||||
|
(define (on-prefixed prefix-factor unit)
|
||||||
|
(let-values (((sub-prefix sub-unit) (remove-prefixes unit)))
|
||||||
|
(values (* prefix-factor sub-prefix) sub-unit)))
|
||||||
|
(define (on-power power unit)
|
||||||
|
(let-values (((sub-prefix sub-unit) (remove-prefixes unit)))
|
||||||
|
(values (expt sub-prefix power) sub-unit)))
|
||||||
|
(define (on-algebra-function symbol procedure units)
|
||||||
|
(let-values (((prefixes units) (map-values remove-prefixes units)))
|
||||||
|
(values (apply procedure prefixes)
|
||||||
|
(cons symbol units))))
|
||||||
|
(define (on-else unit)
|
||||||
|
(error "invalid unit" 'remove-prefixes unit))
|
||||||
|
(define remove-prefixes
|
||||||
|
(make-unit-destructor on-atom
|
||||||
|
on-prefixed
|
||||||
|
on-power
|
||||||
|
on-algebra-function))
|
||||||
|
(remove-prefixes unit))
|
||||||
|
|
||||||
|
(define remove-prefixes-destructors '())
|
||||||
|
(define remove-prefixes-handlers '())
|
||||||
|
|
||||||
|
(define (add-remove-prefixes-handler destructor handler)
|
||||||
|
(set! remove-prefixes-destructors
|
||||||
|
(cons destructor remove-prefixes-destructors))
|
||||||
|
(set! remove-prefixes-handlers
|
||||||
|
(cons handler remove-prefixes-handlers)))
|
||||||
|
|
||||||
|
(define (remove-prefixes unit)
|
||||||
|
(cond-values
|
||||||
|
(any-values (lambda (destructor handler)
|
||||||
|
(apply-after (destructor unit) handler))
|
||||||
|
remove-prefixes-destructors
|
||||||
|
remove-prefixes-handlers)
|
||||||
|
(else (error "invalid unit" unit))))
|
||||||
|
|
||||||
|
(add-remove-prefixes-handler atom-d (lambda (unit)
|
||||||
|
(values 1 unit)))
|
||||||
|
|
||||||
|
(remove-prefixes 'gram)
|
||||||
|
(remove-prefixes '(kilo gram))
|
||||||
|
|
||||||
|
(add-remove-prefixes-handler prefixed-d
|
||||||
|
(lambda (factor unit)
|
||||||
|
(let-values (((sub-factor sub-unit)
|
||||||
|
(remove-prefixes unit)))
|
||||||
|
(values (* factor sub-factor) sub-unit))))
|
||||||
|
|
||||||
|
(add-remove-prefixes-handler
|
||||||
|
algebra-function-d
|
||||||
|
(lambda (head procedure units)
|
||||||
|
(let-values (((factors units) (map-values remove-prefixes units)))
|
||||||
|
(values (apply procedure factors)
|
||||||
|
(cons head units)))))
|
||||||
|
|
||||||
|
(remove-prefixes '(/ (kilo meter) (micro second)))
|
|
@ -0,0 +1,66 @@
|
||||||
|
datatype si_prefix
|
||||||
|
= QUETTA | RONNA | YOTTA | ZETTA | EXA | PETA | TERA | GIGA | MEGA
|
||||||
|
| KILO | HECTO | DEKA | DECI | CENTI | MILLI | MICRO | NANO
|
||||||
|
| PICO | FEMTO | ATTO | ZEPTO | YOCTO | RONTO | QUECTO;
|
||||||
|
|
||||||
|
datatype si_function
|
||||||
|
= DIVISION | MULT;
|
||||||
|
|
||||||
|
datatype si_unit
|
||||||
|
= UNIT of string
|
||||||
|
| PREFIX of si_prefix * si_unit
|
||||||
|
| ALGEBRA of si_function * si_unit list
|
||||||
|
;
|
||||||
|
|
||||||
|
fun factor_of_prefix QUETTA = 1e30
|
||||||
|
| factor_of_prefix RONNA = 1e27
|
||||||
|
| factor_of_prefix YOTTA = 1e24
|
||||||
|
| factor_of_prefix ZETTA = 1e21
|
||||||
|
| factor_of_prefix EXA = 1e18
|
||||||
|
| factor_of_prefix PETA = 1e15
|
||||||
|
| factor_of_prefix TERA = 1e12
|
||||||
|
| factor_of_prefix GIGA = 1e9
|
||||||
|
| factor_of_prefix MEGA = 1e6
|
||||||
|
| factor_of_prefix KILO = 1e3
|
||||||
|
| factor_of_prefix HECTO = 1e2
|
||||||
|
| factor_of_prefix DEKA = 1e1
|
||||||
|
| factor_of_prefix DECI = 1e~1
|
||||||
|
| factor_of_prefix CENTI = 1e~2
|
||||||
|
| factor_of_prefix MILLI = 1e~3
|
||||||
|
| factor_of_prefix MICRO = 1e~6
|
||||||
|
| factor_of_prefix NANO = 1e~9
|
||||||
|
| factor_of_prefix PICO = 1e~12
|
||||||
|
| factor_of_prefix FEMTO = 1e~15
|
||||||
|
| factor_of_prefix ATTO = 1e~18
|
||||||
|
| factor_of_prefix ZEPTO = 1e~21
|
||||||
|
| factor_of_prefix YOCTO = 1e~24
|
||||||
|
| factor_of_prefix RONTO = 1e~27
|
||||||
|
| factor_of_prefix QUECTO = 1e~30
|
||||||
|
;
|
||||||
|
|
||||||
|
fun apply_function DIVISION (head::[]) = head
|
||||||
|
| apply_function DIVISION [] = raise Match
|
||||||
|
| apply_function DIVISION (x::y::rest)
|
||||||
|
= apply_function DIVISION (x/y::rest)
|
||||||
|
| apply_function MULT [] = 1.0
|
||||||
|
| apply_function MULT (head::[]) = head
|
||||||
|
| apply_function MULT (x::y::rest)
|
||||||
|
= apply_function MULT (x*y::rest)
|
||||||
|
;
|
||||||
|
|
||||||
|
fun car (x,y) = x;
|
||||||
|
fun cdr (x,y) = y;
|
||||||
|
|
||||||
|
fun remove_prefixes (UNIT x) = (1e0, UNIT x)
|
||||||
|
| remove_prefixes (PREFIX (prefix, the_unit))
|
||||||
|
= let val (factor, sub_unit) = remove_prefixes the_unit
|
||||||
|
in (factor * (factor_of_prefix prefix), sub_unit)
|
||||||
|
end
|
||||||
|
| remove_prefixes (ALGEBRA (function, units))
|
||||||
|
= let val returned = map remove_prefixes units;
|
||||||
|
val factors = map car returned;
|
||||||
|
val units = map cdr returned;
|
||||||
|
in
|
||||||
|
(apply_function function factors, (ALGEBRA (function, units)))
|
||||||
|
end
|
||||||
|
;
|
Loading…
Reference in New Issue