cond-values: add with example

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Peter McGoron 2024-10-18 12:43:01 -04:00
commit e52009c0a2
4 changed files with 622 additions and 0 deletions

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;;; 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.
(import srfi-1)
;;; AFTER executes a body after multiple tests.
;;;
;;; The form of the syntax is
;;; (AFTER (BINDING ...) BODY ...)
;;;
;;; where BODY ... is a Scheme body. Each BINDING is evaluated in order,
;;; where BINDING is
;;;
;;; (VALUE => FORMAL): FORMAL is a LAMBDA formal and VALUE is a something
;;; that returns multiple values. If VALUE evaluates to no values, the
;;; test fails and the entire AFTER form returns no values.
;;;
;;; (WHEN TEST): Evaluates TEST. If TEST is #F then the entire AFTER form
;;; returns no values.
;;;
;;; If all BINDINGs pass, then BODY is executed and its return value is
;;; the return of AFTER.
(define-syntax after
(syntax-rules (when let =>)
((after ((let value => formal) conditionals ...) body ...)
(call-with-values (lambda () value)
(lambda returned
(if (null? returned)
(values)
(apply (lambda formal (after (conditionals ...) body ...))
returned)))))
((after ((let formal value ...) conditionals ...) body ...)
(after ((let (begin value ...) => formal) conditionals ...)
body ...))
((after ((when boolean) conditionals ...) body ...)
(if boolean
(after (conditionals ...) body ...)
(values)))
((after () body ...)
(begin body ...))))
(define-syntax apply-after
(syntax-rules ()
((apply-after value receiver)
(after ((let value => formal))
(apply receiver formal)))))
;;; (COND-VALUES CLAUSE ...) is like COND, but it tests for empty VALUES
;;; instead of #F.
;;;
;;; Each CLAUSE is:
;;;
;;; (BODY ...): Executes BODY. If BODY returns no values, then try the
;;; rest of the clauses. If BODY returns values, those values are the
;;; return values of COND-VALUES.
;;; (ELSE BODY ...): Must occur at the end. Executes BODY and returns
;;; whatever BODY returns.
;;;
;;; If there is no ELSE clause and all CLAUSEs fail, COND-VALUES returns
;;; no values.
(define-syntax cond-values
(syntax-rules (else)
((cond-values (else body ...))
(begin body ...))
((cond-values value rest ...)
(call-with-values (lambda () value)
(lambda returned
(if (null? returned)
(cond-values rest ...)
(apply values returned)))))
((cond-values) (values))))
;;; (DEFINE-RECORD-TYPE/DESTRUCTOR TYPENAME
;;; (CSTR FIELDS ...)
;;; PREDICATE?
;;; DESTRUCTOR
;;; (FIELD GETTER SETTER ...)
;;; ...)
;;;
;;; creates an SRFI-9/R7RS record type. The syntax is the same, except
;;; that after the PREDICATE field and before the getter/setter fields
;;; is an identifier, DESTRUCTOR.
;;;
;;; This macro defines a procedure (DESTRUCTOR RECORD) that returns each
;;; field of RECORD as values, or no values if RECORD is not a TYPENAME
;;; record.
(define-syntax define-record-type/destructor
(syntax-rules ()
((define-record-type/destructor typename
(cstr fields ...)
predicate?
destructor
(field getter setter ...)
...)
(begin
(define-record-type typename
(cstr fields ...)
predicate?
(field getter setter ...)
...)
(define (destructor record)
(after ((when (predicate? record)))
(values (getter record) ...)))))))
;;; ;;;;;;;;;;;;;
;;; Helper functions
;;; ;;;;;;;;;;;;;
;;; Returns the CAR and CDR of X as values when X is a pair, and no values
;;; otherwise.
(define (pair-d x)
(after ((when (pair? x)))
(values (car x) (cdr x))))
(define (assq-d val alist)
(let ((pair (assq val alist)))
(after ((when (pair? pair)))
(cdr pair))))
;;; Returns the list as values when WHOLE-LIST has length NUM, and no
;;; values otherwise.
(define (length* whole-list num)
(when (<= num 0)
(error "invalid number" 'length* whole-list num))
(let length* ((lst whole-list)
(num num))
(cond-values
(after ((when (null? lst))
(when (= num 0)))
(apply values whole-list))
(after ((when (pair? lst))
(when (> num 0)))
(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
(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)))))

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;;; 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)))

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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
;