diff --git a/collects/lang/private/beginner-funs.rkt b/collects/lang/private/beginner-funs.rkt index 72401af9be..7102009b21 100644 --- a/collects/lang/private/beginner-funs.rkt +++ b/collects/lang/private/beginner-funs.rkt @@ -4,49 +4,57 @@ ;; eq? is questionable, but okay if someone uses BSL to teach not out of HtDP ;; - (require mzlib/etc mzlib/list mzlib/math syntax/docprovide (for-syntax "firstorder.rkt") - (for-syntax syntax/parse)) + (for-syntax syntax/parse) + (for-syntax racket/syntax)) ;; Implements the procedures: (require "teachprims.rkt" "teach.rkt" lang/posn lang/imageeq "provide-and-scribble.rkt") (define-syntax (provide-and-wrap stx) (syntax-parse stx - [(provide-and-wrap wrap doc-tag:id requires (title (defproc (name args ...) range w ...) ...) ...) - (with-syntax ([((f ...) ...) (map generate-temporaries (syntax->list #'((name ...) ...)))] - [((internal-name ...) ...) - (map (lambda (x) - (map (lambda (n) - (syntax-parse n - [(internal-name:id external-name:id) #'internal-name] - [n:id #'n])) - (syntax->list x))) - (syntax->list #'((name ...) ...)))] - [((external-name ...) ...) - (map (lambda (x) - (map (lambda (n) - (syntax-parse n - [(internal-name:id external-name:id) #'external-name] - [n:id #'n])) - (syntax->list x))) - (syntax->list #'((name ...) ...)))]) - #'(begin ;; create two modules: - ;; one that makes definitions first-order - (module+ with-wrapper - (wrap f internal-name) ... ... - (provide-and-scribble - doc-tag - requires - (title (defproc ((f external-name) args ...) range w ...) ...) ...)) - ;; and one that doesn't - (module+ without-wrapper - (provide-and-scribble - doc-tag - requires - (title (defproc (name args ...) range w ...) ...) ...))))])) + ; (defproc (name args ...) range w ...) + [(provide-and-wrap wrap doc-tag:id requires (title df ...) ...) + (let* ((defs (map syntax->list (syntax->list #'((df ...) ...)))) + (names (map extract-names defs)) + (tmps (map generate-temporaries names)) + (internals (map (lambda (x) + (map (lambda (n) + (syntax-parse n + [(internal-name:id external-name:id) #'internal-name] + [n:id #'n])) + x)) + names)) + (externals (map (lambda (x) + (map (lambda (n) + (syntax-parse n + [(internal-name:id external-name:id) #'external-name] + [n:id #'n])) + x)) + names))) + (with-syntax* ([((f ...) ...) tmps] + [((internal-name ...) ...) internals] + [((dg ...) ...) + (map (lambda (d.. f.. ex..) + (map (lambda (d f external-name) + (syntax-case d () + [(defproc [name args ...] range w ...) + #`(defproc [(#,f #,external-name) args ...] range w ...)] + [(defthing name range w ...) + #'(defthing name range w ...)])) + d.. f.. ex..)) + defs tmps externals)]) + #'(begin ;; create two modules: + ;; one that makes definitions first-order + (module+ with-wrapper + (wrap f internal-name) ... ... + (provide-and-scribble doc-tag requires (title dg ...) ...)) + ;; and one that doesn't + (module+ without-wrapper + (provide-and-scribble doc-tag requires (title df ...) ...)))))])) +;; MF: this is now an ugly kludge, left over from my original conversion of Matthew's docs for *SL (define-syntax (in-rator-position-only stx) (syntax-case stx () [(_ new-name orig-name) @@ -72,837 +80,833 @@ ;; procedures with documentation: (provide-and-wrap - in-rator-position-only - procedures - - (begin - (require scribble/manual scribble/eval "sl-eval.rkt") - (define (bsl) - (define *bsl - (bsl+-eval - (require 2htdp/image) - (define c1 (circle 10 "solid" "green")) - - (define zero 0) - - (define one (list 1)) - - (define q (make-posn "bye" 2)) - (define p (make-posn 2 -3)) - - (define a (list (list 'a 22) (list 'b 8) (list 'c 70))) - (define v (list 1 2 3 4 5 6 7 8 9 'A)) - (define w (list (list (list (list "bye") 3) true) 42)) - (define z (list (list (list (list 'a 'b) 2 3) ) (list false true) "world")) - (define y (list (list (list 1 2 3) false "world"))) - (define x (list 2 "hello" true)))) - (set! bsl (lambda () *bsl)) - *bsl)) + in-rator-position-only + procedures - ("Numbers: Integers, Rationals, Reals, Complex, Exacts, Inexacts" - @defproc[(number? [n any/c]) boolean?]{ - Determines whether some value is a number: - @interaction[#:eval (bsl) (number? "hello world") (number? 42)] - } - @defproc[(= [x number][y number][z number] ...) boolean?]{ - Compares numbers for equality. - @interaction[#:eval (bsl) (= 42 2/5)] - } - @defproc[(< [x real][y real][z real] ...) boolean?]{ - Compares (real) numbers for less-than. - @interaction[#:eval (bsl) (< 42 2/5)] - } - @defproc[(> [x real][y real][z real] ...) boolean?]{ - Compares (real) numbers for greater-than. - @interaction[#:eval (bsl) (> 42 2/5)] - } - @defproc[(<= [x real][y real][z real] ...) boolean?]{ - Compares (real) numbers for less-than or equality. - @interaction[#:eval (bsl) (<= 42 2/5)] - } - @defproc[(>= [x real][y real][z real] ...) boolean?]{ - Compares (real) numbers for greater-than or equality. - @interaction[#:eval (bsl) (>= 42 42)] - } - @defproc[((beginner-+ +) [x number][y number][z number] ...) number]{ - @index["plus"]{}@index["add"]{Adds} up all numbers. - @interaction[#:eval (bsl) (+ 2/3 1/16) (+ 3 2 5 8)] - } - @defproc[(- [x number][y number] ...) number]{ - @index["subtract"]{Subtracts} the second (and following) number(s) from the first ; - negates the number if there is only one argument. - @interaction[#:eval (bsl) (- 5) (- 5 3) (- 5 3 1)] - } - @defproc[((beginner-* *) [x number][y number][z number] ...) number]{ - @index["times"]{}@index["product"]{}@index["multiply"]{Multiplies} all numbers. - @interaction[#:eval (bsl) (* 5 3) (* 5 3 2)] - } - @defproc[((beginner-/ /) [x number][y number][z number] ...) number]{ - @index["divide"]{Divides} the first by the second (and all following) number(s). - @interaction[#:eval (bsl) (/ 12 2) (/ 12 2 3)] - } - @defproc[(max [x real][y real] ...) real]{ - Determines the largest number---aka, the @index["maximum"]{maxiumum}. - @interaction[#:eval (bsl) (max 3 2 8 7 2 9 0)] - } - @defproc[(min [x real][y real] ...) real]{ - Determines the smallest number---aka, the @index["minimum"]{miniumum}. - @interaction[#:eval (bsl) (min 3 2 8 7 2 9 0)] - } - @defproc[(quotient [x integer][y integer]) integer]{ - Divides the second integer---also called divisor---into the first---known as - dividend---to obtain the @index[(list "divide" "quotient")]{quotient}. - @interaction[#:eval (bsl) (quotient 9 2) (quotient 3 4)] - } - @defproc[(remainder [x integer][y integer]) integer]{ - Determines the @index[(list "divide" "remainder")]{remainder} of dividing the first by the second integer - (exact or inexact). - @interaction[#:eval (bsl) (remainder 9 2) (remainder 3 4)] - } - @defproc[(modulo [x integer][y integer]) integer]{ - Finds the remainder of the division of the first number by the second: - @interaction[#:eval (bsl) (modulo 9 2) (modulo 3 -4)] - } - @defproc[((beginner-sqr sqr) [x number]) number]{ - Computes the @index["square"]{square} of a number. - @interaction[#:eval (bsl) (sqr 8)] - } - @defproc[(sqrt [x number]) number]{ - Computes the square root of a number. - @interaction[#:eval (bsl) (sqrt 9) (sqrt 2)] - } - @defproc[(integer-sqrt [x number]) integer]{ - Computes the integer (exact or inexact) square root of a number. - @interaction[#:eval (bsl) (sqrt 11)] - } - @defproc[(abs [x real]) real]{ - Determines the absolute value of a real number. - @interaction[#:eval (bsl) (abs -12)] - } - @defproc[(sgn [x real]) (union 1 #i1.0 0 #i0.0 -1 #i-1.0)]{ - Determines the sign of a real number. - @interaction[#:eval (bsl) (sgn -12)] - } - - ;; exponents and logarithms - @defproc[(expt [x number][y number]) number]{ - Computes the power of the first to the second number. - @interaction[#:eval (bsl) (expt 16 1/2) (expt 3 -4)] - } - @defproc[(exp [x number]) number]{ - Determines e raised to a number. - @interaction[#:eval (bsl) (exp -2)] - } - @defproc[(log [x number]) number]{ - Determines the base-e logarithm of a number. - @interaction[#:eval (bsl) (log 12)] - } + (begin + (require scribble/manual scribble/eval "sl-eval.rkt") + (define (bsl) + (define *bsl + (bsl+-eval + (require 2htdp/image) + (define c1 (circle 10 "solid" "green")) + + (define zero 0) + + (define one (list 1)) + + (define q (make-posn "bye" 2)) + (define p (make-posn 2 -3)) + + (define a (list (list 'a 22) (list 'b 8) (list 'c 70))) + (define v (list 1 2 3 4 5 6 7 8 9 'A)) + (define w (list (list (list (list "bye") 3) true) 42)) + (define z (list (list (list (list 'a 'b) 2 3) ) (list false true) "world")) + (define y (list (list (list 1 2 3) false "world"))) + (define x (list 2 "hello" true)))) + (set! bsl (lambda () *bsl)) + *bsl)) + + ("Numbers: Integers, Rationals, Reals, Complex, Exacts, Inexacts" + @defproc[(number? [n any/c]) boolean?]{ + Determines whether some value is a number: + @interaction[#:eval (bsl) (number? "hello world") (number? 42)] + } + @defproc[(= [x number][y number][z number] ...) boolean?]{ + Compares numbers for equality. + @interaction[#:eval (bsl) (= 42 2/5)] + } + @defproc[(< [x real][y real][z real] ...) boolean?]{ + Compares (real) numbers for less-than. + @interaction[#:eval (bsl) (< 42 2/5)] + } + @defproc[(> [x real][y real][z real] ...) boolean?]{ + Compares (real) numbers for greater-than. + @interaction[#:eval (bsl) (> 42 2/5)] + } + @defproc[(<= [x real][y real][z real] ...) boolean?]{ + Compares (real) numbers for less-than or equality. + @interaction[#:eval (bsl) (<= 42 2/5)] + } + @defproc[(>= [x real][y real][z real] ...) boolean?]{ + Compares (real) numbers for greater-than or equality. + @interaction[#:eval (bsl) (>= 42 42)] + } + @defproc[((beginner-+ +) [x number][y number][z number] ...) number]{ + @index["plus"]{}@index["add"]{Adds} up all numbers. + @interaction[#:eval (bsl) (+ 2/3 1/16) (+ 3 2 5 8)] + } + @defproc[(- [x number][y number] ...) number]{ + @index["subtract"]{Subtracts} the second (and following) number(s) from the first ; + negates the number if there is only one argument. + @interaction[#:eval (bsl) (- 5) (- 5 3) (- 5 3 1)] + } + @defproc[((beginner-* *) [x number][y number][z number] ...) number]{ + @index["times"]{}@index["product"]{}@index["multiply"]{Multiplies} all numbers. + @interaction[#:eval (bsl) (* 5 3) (* 5 3 2)] + } + @defproc[((beginner-/ /) [x number][y number][z number] ...) number]{ + @index["divide"]{Divides} the first by the second (and all following) number(s). + @interaction[#:eval (bsl) (/ 12 2) (/ 12 2 3)] + } + @defproc[(max [x real][y real] ...) real]{ + Determines the largest number---aka, the @index["maximum"]{maxiumum}. + @interaction[#:eval (bsl) (max 3 2 8 7 2 9 0)] + } + @defproc[(min [x real][y real] ...) real]{ + Determines the smallest number---aka, the @index["minimum"]{miniumum}. + @interaction[#:eval (bsl) (min 3 2 8 7 2 9 0)] + } + @defproc[(quotient [x integer][y integer]) integer]{ + Divides the second integer---also called divisor---into the first---known as + dividend---to obtain the @index[(list "divide" "quotient")]{quotient}. + @interaction[#:eval (bsl) (quotient 9 2) (quotient 3 4)] + } + @defproc[(remainder [x integer][y integer]) integer]{ + Determines the @index[(list "divide" "remainder")]{remainder} of dividing the first by the second integer + (exact or inexact). + @interaction[#:eval (bsl) (remainder 9 2) (remainder 3 4)] + } + @defproc[(modulo [x integer][y integer]) integer]{ + Finds the remainder of the division of the first number by the second: + @interaction[#:eval (bsl) (modulo 9 2) (modulo 3 -4)] + } + @defproc[((beginner-sqr sqr) [x number]) number]{ + Computes the @index["square"]{square} of a number. + @interaction[#:eval (bsl) (sqr 8)] + } + @defproc[(sqrt [x number]) number]{ + Computes the square root of a number. + @interaction[#:eval (bsl) (sqrt 9) (sqrt 2)] + } + @defproc[(integer-sqrt [x number]) integer]{ + Computes the integer (exact or inexact) square root of a number. + @interaction[#:eval (bsl) (sqrt 11)] + } + @defproc[(abs [x real]) real]{ + Determines the absolute value of a real number. + @interaction[#:eval (bsl) (abs -12)] + } + @defproc[(sgn [x real]) (union 1 #i1.0 0 #i0.0 -1 #i-1.0)]{ + Determines the sign of a real number. + @interaction[#:eval (bsl) (sgn -12)] + } - ;; trigonometry - @defproc[(sin [x number]) number]{ - Computes the @index["sine"]{sine} of a number (radians). - @interaction[#:eval (bsl) (sin pi)] - } - @defproc[(cos [x number]) number]{ - Computes the @index["cosine"]{cosine} of a number (radians). - @interaction[#:eval (bsl) (cos pi)] - } - @defproc[(tan [x number]) number]{ - Computes the @index["tangent"]{tangent} of a number (radians). - @interaction[#:eval (bsl) (tan pi)] - } - @defproc[(asin [x number]) number]{ - Computes the arcsine (inverse of sin) of a number. - @interaction[#:eval (bsl) (asin 0)] - } - @defproc[(acos [x number]) number]{ - Computes the arccosine (inverse of cos) of a number. - @interaction[#:eval (bsl) (acos 0)] - } - @defproc[(atan [x number] [y number]) number]{ - Computes the arctan of the given number or the ratio of the two given numbers. - @interaction[#:eval (bsl) (atan 0) (atan 3 4)] - } - @defproc[(sinh [x number]) number]{ - Computes the hyperbolic sine of a number. - @interaction[#:eval (bsl) (sinh 10)] - } - @defproc[(cosh [x number]) number]{ - Computes the hyperbolic cosine of a number. - @interaction[#:eval (bsl) (cosh 10)] - } - - ;; predicates - @defproc[(exact? [x number]) boolean?]{ - Determines whether some number is exact. - @interaction[#:eval (bsl) (exact? (sqrt 2))] - } - @defproc[(integer? [x any/c]) boolean?]{ - Determines whether some value is an integer (exact or inexact). - @interaction[#:eval (bsl) (integer? (sqrt 2))] - } - @defproc[(zero? [x number]) boolean?]{ - Determines if some value is zero or not. - @interaction[#:eval (bsl) (zero? 2)] - } - @defproc[(positive? [x number]) boolean?]{ - Determines if some value is strictly larger than zero. - @interaction[#:eval (bsl) (positive? -2)] - } - @defproc[(negative? [x number]) boolean?]{ - Determines if some value is strictly smaller than zero. - @interaction[#:eval (bsl) (negative? -2)] - } - @defproc[(odd? [x integer]) boolean?]{ - Determines if some integer (exact or inexact) is odd or not. - @interaction[#:eval (bsl) (odd? 2)] - } - @defproc[(even? [x integer]) boolean?]{ - Determines if some integer (exact or inexact) is even or not. - @interaction[#:eval (bsl) (even? 2)] - } - @defproc[(rational? [x any/c]) boolean?]{ - Determines whether some value is a rational number. - @interaction[#:eval (bsl) (rational? 1-2i)] - } - @defproc[(inexact? [x number]) boolean?]{ - Determines whether some number is inexact. - @interaction[#:eval (bsl) (inexact? 1-2i)] - } - @defproc[(real? [x any/c]) boolean?]{ - Determines whether some value is a real number. - @interaction[#:eval (bsl) (real? 1-2i)] - } - @defproc[(complex? [x any/c]) boolean?]{ - Determines whether some value is complex. - @interaction[#:eval (bsl) (real? 1-2i)] - } - - ;; common utilities - @defproc[(add1 [x number]) number]{ - Incrementes the given number. - @interaction[#:eval (bsl) (add1 2)] - } - @defproc[(sub1 [x number]) number]{ - Decrements the given number. - @interaction[#:eval (bsl) (sub1 2)] - } - @defproc[(lcm [x integer][y integer] ...) integer]{ - Determines the least common multiple of two integers (exact or inexact). - @interaction[#:eval (bsl) (lcm 6 12 8)] - } - @defproc[(gcd [x integer][y integer] ...) integer]{ - Determines the greatest common divisior of two integers (exact or inexact). - @interaction[#:eval (bsl) (gcd 6 12 8)] - } - @defproc[(numerator [x rational?]) integer]{ - Computes the numerator of a rational. - @interaction[#:eval (bsl) (numerator 2/3)] - } - @defproc[(denominator [x rational?]) integer]{ - Computees the denominator of a rational. - @interaction[#:eval (bsl) (denominator 2/3)] - } - @defproc[(floor [x real]) integer]{ - Determines the closest integer (exact or inexact) below a real - number. See @racket[round]. - @interaction[#:eval (bsl) (floor 12.3)] - } - @defproc[(ceiling [x real]) integer]{ - Determines the closest integer (exact or inexact) above a real - number. See @racket[round]. - @interaction[#:eval (bsl) (ceiling 12.3)] - } - @defproc[(round [x real]) integer]{ - Rounds a real number to an integer (rounds to even to break ties). See - @racket[floor] and @racket[ceiling]. - @interaction[#:eval (bsl) (round 12.3)] - } - @defproc[(make-polar [x real ][y real]) number]{ - Creates a complex from a magnitude and angle. - @interaction[#:eval (bsl) (make-polar 3 4)] - } - @defproc[(make-rectangular [x real][y real]) number]{ - Creates a complex from a real and an imaginary part. - @interaction[#:eval (bsl) (make-rectangular 3 4)] - } - @defproc[(real-part [x number]) real]{ - Extracts the real part from a complex number. - @interaction[#:eval (bsl) (real-part 3+4i)] - } - @defproc[(imag-part [x number]) real]{ - Extracts the imaginary part from a complex number. - @interaction[#:eval (bsl) (imag-part 3+4i)] - } - @defproc[(magnitude [x number]) real]{ - Determines the magnitude of a complex number. - @interaction[#:eval (bsl) (magnitude (make-polar 3 4))] - } - @defproc[(angle [x number]) real]{ - Extracts the angle from a complex number. - @interaction[#:eval (bsl) (angle (make-polar 3 4))] - } - @defproc[(conjugate [x number]) number]{ - Extracts the conjugate of a complex number. - @interaction[#:eval (bsl) (conjugate (make-polar 3 4))] - } - @defproc[(exact->inexact [x number]) number]{ - Converts an exact number to an inexact one. - @interaction[#:eval (bsl) (exact->inexact 12)] - } - @defproc[(inexact->exact [x number]) number]{ - Approximates an inexact number by an exact one. - @interaction[#:eval (bsl) (inexact->exact #i12)] - } - @defproc[(number->string [x number]) string]{ - Converts a number to a string. - @interaction[#:eval (bsl) (number->string 42)] - } - @defproc[(integer->char [x exact-integer?]) char]{ - Lookups the character that corresponds to the given exact integer in the ASCII table (if any). - @interaction[#:eval (bsl) (integer->char 42)] - } - @defproc[((beginner-random random) [x integer]) integer]{ - Generates a random natural number less than some given exact integer. - @interaction[#:eval (bsl) (random 42)] - } - @defproc[(current-seconds) integer]{ - Determines the current time in seconds elapsed (since a platform-specific starting date). - @interaction[#:eval (bsl) (current-seconds)] - } - @defproc[(e) real]{ - Euler's number. - @interaction[#:eval (bsl) e] - } - @defproc[(pi) real]{ - The ratio of a circle's circumference to its diameter. - @interaction[#:eval (bsl) pi] - }) + ;; exponents and logarithms + @defproc[(expt [x number][y number]) number]{ + Computes the power of the first to the second number. + @interaction[#:eval (bsl) (expt 16 1/2) (expt 3 -4)] + } + @defproc[(exp [x number]) number]{ + Determines e raised to a number. + @interaction[#:eval (bsl) (exp -2)] + } + @defproc[(log [x number]) number]{ + Determines the base-e logarithm of a number. + @interaction[#:eval (bsl) (log 12)] + } + + ;; trigonometry + @defproc[(sin [x number]) number]{ + Computes the @index["sine"]{sine} of a number (radians). + @interaction[#:eval (bsl) (sin pi)] + } + @defproc[(cos [x number]) number]{ + Computes the @index["cosine"]{cosine} of a number (radians). + @interaction[#:eval (bsl) (cos pi)] + } + @defproc[(tan [x number]) number]{ + Computes the @index["tangent"]{tangent} of a number (radians). + @interaction[#:eval (bsl) (tan pi)] + } + @defproc[(asin [x number]) number]{ + Computes the arcsine (inverse of sin) of a number. + @interaction[#:eval (bsl) (asin 0)] + } + @defproc[(acos [x number]) number]{ + Computes the arccosine (inverse of cos) of a number. + @interaction[#:eval (bsl) (acos 0)] + } + @defproc[(atan [x number] [y number]) number]{ + Computes the arctan of the given number or the ratio of the two given numbers. + @interaction[#:eval (bsl) (atan 0) (atan 3 4)] + } + @defproc[(sinh [x number]) number]{ + Computes the hyperbolic sine of a number. + @interaction[#:eval (bsl) (sinh 10)] + } + @defproc[(cosh [x number]) number]{ + Computes the hyperbolic cosine of a number. + @interaction[#:eval (bsl) (cosh 10)] + } + + ;; predicates + @defproc[(exact? [x number]) boolean?]{ + Determines whether some number is exact. + @interaction[#:eval (bsl) (exact? (sqrt 2))] + } + @defproc[(integer? [x any/c]) boolean?]{ + Determines whether some value is an integer (exact or inexact). + @interaction[#:eval (bsl) (integer? (sqrt 2))] + } + @defproc[(zero? [x number]) boolean?]{ + Determines if some value is zero or not. + @interaction[#:eval (bsl) (zero? 2)] + } + @defproc[(positive? [x number]) boolean?]{ + Determines if some value is strictly larger than zero. + @interaction[#:eval (bsl) (positive? -2)] + } + @defproc[(negative? [x number]) boolean?]{ + Determines if some value is strictly smaller than zero. + @interaction[#:eval (bsl) (negative? -2)] + } + @defproc[(odd? [x integer]) boolean?]{ + Determines if some integer (exact or inexact) is odd or not. + @interaction[#:eval (bsl) (odd? 2)] + } + @defproc[(even? [x integer]) boolean?]{ + Determines if some integer (exact or inexact) is even or not. + @interaction[#:eval (bsl) (even? 2)] + } + @defproc[(rational? [x any/c]) boolean?]{ + Determines whether some value is a rational number. + @interaction[#:eval (bsl) (rational? 1-2i)] + } + @defproc[(inexact? [x number]) boolean?]{ + Determines whether some number is inexact. + @interaction[#:eval (bsl) (inexact? 1-2i)] + } + @defproc[(real? [x any/c]) boolean?]{ + Determines whether some value is a real number. + @interaction[#:eval (bsl) (real? 1-2i)] + } + @defproc[(complex? [x any/c]) boolean?]{ + Determines whether some value is complex. + @interaction[#:eval (bsl) (real? 1-2i)] + } + + ;; common utilities + @defproc[(add1 [x number]) number]{ + Incrementes the given number. + @interaction[#:eval (bsl) (add1 2)] + } + @defproc[(sub1 [x number]) number]{ + Decrements the given number. + @interaction[#:eval (bsl) (sub1 2)] + } + @defproc[(lcm [x integer][y integer] ...) integer]{ + Determines the least common multiple of two integers (exact or inexact). + @interaction[#:eval (bsl) (lcm 6 12 8)] + } + @defproc[(gcd [x integer][y integer] ...) integer]{ + Determines the greatest common divisior of two integers (exact or inexact). + @interaction[#:eval (bsl) (gcd 6 12 8)] + } + @defproc[(numerator [x rational?]) integer]{ + Computes the numerator of a rational. + @interaction[#:eval (bsl) (numerator 2/3)] + } + @defproc[(denominator [x rational?]) integer]{ + Computees the denominator of a rational. + @interaction[#:eval (bsl) (denominator 2/3)] + } + @defproc[(floor [x real]) integer]{ + Determines the closest integer (exact or inexact) below a real + number. See @racket[round]. + @interaction[#:eval (bsl) (floor 12.3)] + } + @defproc[(ceiling [x real]) integer]{ + Determines the closest integer (exact or inexact) above a real + number. See @racket[round]. + @interaction[#:eval (bsl) (ceiling 12.3)] + } + @defproc[(round [x real]) integer]{ + Rounds a real number to an integer (rounds to even to break ties). See + @racket[floor] and @racket[ceiling]. + @interaction[#:eval (bsl) (round 12.3)] + } + @defproc[(make-polar [x real ][y real]) number]{ + Creates a complex from a magnitude and angle. + @interaction[#:eval (bsl) (make-polar 3 4)] + } + @defproc[(make-rectangular [x real][y real]) number]{ + Creates a complex from a real and an imaginary part. + @interaction[#:eval (bsl) (make-rectangular 3 4)] + } + @defproc[(real-part [x number]) real]{ + Extracts the real part from a complex number. + @interaction[#:eval (bsl) (real-part 3+4i)] + } + @defproc[(imag-part [x number]) real]{ + Extracts the imaginary part from a complex number. + @interaction[#:eval (bsl) (imag-part 3+4i)] + } + @defproc[(magnitude [x number]) real]{ + Determines the magnitude of a complex number. + @interaction[#:eval (bsl) (magnitude (make-polar 3 4))] + } + @defproc[(angle [x number]) real]{ + Extracts the angle from a complex number. + @interaction[#:eval (bsl) (angle (make-polar 3 4))] + } + @defproc[(conjugate [x number]) number]{ + Extracts the conjugate of a complex number. + @interaction[#:eval (bsl) (conjugate (make-polar 3 4))] + } + @defproc[(exact->inexact [x number]) number]{ + Converts an exact number to an inexact one. + @interaction[#:eval (bsl) (exact->inexact 12)] + } + @defproc[(inexact->exact [x number]) number]{ + Approximates an inexact number by an exact one. + @interaction[#:eval (bsl) (inexact->exact #i12)] + } + @defproc[(number->string [x number]) string]{ + Converts a number to a string. + @interaction[#:eval (bsl) (number->string 42)] + } + @defproc[(integer->char [x exact-integer?]) char]{ + Lookups the character that corresponds to the given exact integer in the ASCII table (if any). + @interaction[#:eval (bsl) (integer->char 42)] + } + @defproc[((beginner-random random) [x integer]) integer]{ + Generates a random natural number less than some given exact integer. + @interaction[#:eval (bsl) (random 42)] + } + @defproc[(current-seconds) integer]{ + Determines the current time in seconds elapsed (since a platform-specific starting date). + @interaction[#:eval (bsl) (current-seconds)] + } + @defthing[e real]{Euler's number. + @interaction[#:eval (bsl) e] + } + @defthing[pi real]{The ratio of a circle's circumference to its diameter. + @interaction[#:eval (bsl) pi] + }) - ("Booleans" - @defproc[(boolean? [x any/c]) boolean?]{ - Determines whether some value is a boolean. - @interaction[#:eval (bsl) (boolean? 42) (boolean? false)] - } - @defproc[(boolean=? [x boolean?][y boolean?]) boolean?]{ - Determines whether two booleans are equal. - @interaction[#:eval (bsl) (boolean=? true false)] - } - @defproc[(false? [x any/c]) boolean?]{ - Determines whether a value is false. - @interaction[#:eval (bsl) (false? false)] - } - @defproc[((beginner-not not) [x boolean?]) boolean?]{ - Negates a boolean value. - @interaction[#:eval (bsl) (not false)] - }) + ("Booleans" + @defproc[(boolean? [x any/c]) boolean?]{ + Determines whether some value is a boolean. + @interaction[#:eval (bsl) (boolean? 42) (boolean? false)] + } + @defproc[(boolean=? [x boolean?][y boolean?]) boolean?]{ + Determines whether two booleans are equal. + @interaction[#:eval (bsl) (boolean=? true false)] + } + @defproc[(false? [x any/c]) boolean?]{ + Determines whether a value is false. + @interaction[#:eval (bsl) (false? false)] + } + @defproc[((beginner-not not) [x boolean?]) boolean?]{ + Negates a boolean value. + @interaction[#:eval (bsl) (not false)] + }) - ("Symbols" - @defproc[(symbol? [x any/c]) boolean?]{ - Determines whether some value is a symbol. - @interaction[#:eval (bsl) (symbol? 'a)] - } - @defproc[(symbol=? [x symbol][y symbol]) boolean?]{ - Determines whether two symbols are equal. - @interaction[#:eval (bsl) (symbol=? 'a 'b)] - } - @defproc[(symbol->string [x symbol]) string]{ - Converts a symbol to a string. - @interaction[#:eval (bsl) (symbol->string 'c)] - }) + ("Symbols" + @defproc[(symbol? [x any/c]) boolean?]{ + Determines whether some value is a symbol. + @interaction[#:eval (bsl) (symbol? 'a)] + } + @defproc[(symbol=? [x symbol][y symbol]) boolean?]{ + Determines whether two symbols are equal. + @interaction[#:eval (bsl) (symbol=? 'a 'b)] + } + @defproc[(symbol->string [x symbol]) string]{ + Converts a symbol to a string. + @interaction[#:eval (bsl) (symbol->string 'c)] + }) - ("Lists" - @defproc[(cons? [x any/c]) boolean?]{ - Determines whether some value is a constructed list. - @interaction[#:eval (bsl-eval) (cons? (cons 1 empty)) (cons? 42)] - } - @defproc[(empty? [x any/c]) boolean?]{ - Determines whether some value is the empty list. - @interaction[#:eval (bsl) (empty? empty) (empty? 42)] - } - @defproc[((beginner-cons cons) [x any/x][y list?]) list?]{ - Constructs a list. - @interaction[#:eval (bsl-eval) (cons 1 empty)] - } - @defproc[((beginner-first first) [x cons?]) any/c]{ - Selects the first item of a non-empty list. - @interaction[#:eval (bsl) x (first x)] - } - @defproc[((beginner-rest rest) [x cons?]) any/c]{ - Selects the rest of a non-empty list. - @interaction[#:eval (bsl) x (rest x)] - } - @defproc[(second [x list?]) any/c]{ - Selects the second item of a non-empty list. - @interaction[#:eval (bsl) x (second x)] - } - @defproc[(third [x list?]) any/c]{ - Selects the third item of a non-empty list. - @interaction[#:eval (bsl) x (third x)] - } - - @defproc[(fourth [x list?]) any/c]{ - Selects the fourth item of a non-empty list. - @interaction[#:eval (bsl) v (fourth v)] - } - - @defproc[(fifth [x list?]) any/c]{ - Selects the fifth item of a non-empty list. - @interaction[#:eval (bsl) v (fifth v)] - } - @defproc[(sixth [x list?]) any/c]{ - Selects the sixth item of a non-empty list. - @interaction[#:eval (bsl) v (sixth v)] - } - @defproc[(seventh [x list?]) any/c]{ - Selects the seventh item of a non-empty list. - @interaction[#:eval (bsl) v (seventh v)] - } - @defproc[(eighth [x list?]) any/c]{ - Selects the eighth item of a non-empty list. - @interaction[#:eval (bsl) v (eighth v)] - } - @defproc[(list-ref [x list?][i natural?]) any/c]{ - Extracts the indexed item from the list. - @interaction[#:eval (bsl) v (list-ref v 9)] - } - @defproc[(list [x any/c] ... ) list?]{ - Constructs a list of its arguments. - @interaction[#:eval (bsl-eval) (list 1 2 3 4 5 6 7 8 9 0)] - } - @defproc[(make-list [i natural-number] [x any/c]) list?]{ - Constructs a list of @racket[i] copies of @racket[x]. - @interaction[#:eval (bsl-eval) (make-list 3 "hello")] - } - @defproc[((beginner-list* list*) [x any/c] ... [l list?]) list?]{ - Constructs a list by adding multiple items to a list. - @interaction[#:eval (bsl-eval (define x (list 2 "hello" true))) x (list* 4 3 x)] - } - @defproc[((beginner-range range) [start number][end number][step number]) list?]{ - Constructs a list of numbers by @racket[step]ping from @racket[start] - to @racket[end]. - @interaction[#:eval (bsl-eval) (range 0 10 2)] - } - @defproc[((beginner-append append) [x list?][y list?][z list?] ...) list?]{ - Creates a single list from several, by juxtaposition of the items. - @interaction[#:eval (bsl) (append (cons 1 (cons 2 empty)) (cons "a" (cons "b" empty)))] - } - @defproc[(length (l list?)) natural-number?]{ - Evaluates the number of items on a list. - @interaction[#:eval (bsl) x (length x)] - } - @defproc[((beginner-memq memq) [x any/c][l list?]) boolean?]{ - Determines whether some value @racket[x] is on some list @racket[l], - using @racket[eq?] to compare @racket[x] with items on @racket[l]. - @interaction[#:eval (bsl) x (memq (list (list 1 2 3)) x)] - } - @defproc[((beginner-memq? memq?) [x any/c][l list?]) boolean?]{ - Determines whether some value @racket[x] is on some list @racket[l], - using @racket[eq?] to compare @racket[x] with items on @racket[l]. - @interaction[#:eval (bsl) x (memq? (list (list 1 2 3)) x)] - } - @defproc[(memv [x any/c][l list?]) (or/c false list)]{ - Determines whether some value is on the list if so, it produces the - suffix of the list that starts with x if not, it produces false. (It - compares values with the eqv? predicate.) - @interaction[#:eval (bsl) x (memv (list (list 1 2 3)) x)] - } - @defproc[((beginner-member? member?) [x any/c][l list?]) boolean?]{ - Determines whether some value is on the list (comparing values with equal?). - @interaction[#:eval (bsl) x (member? "hello" x)] - } - @defproc[((beginner-member member) [x any/c][l list?]) boolean?]{ - Determines whether some value is on the list (comparing values with equal?). - @interaction[#:eval (bsl) x (member "hello" x)] - } - @defproc[((beginner-remove remove) [x any/c][l list?]) list?]{ - Constructs a list like the given one with the first occurrence of the - given item removed (comparing values with equal?). - @interaction[#:eval (bsl) x (remove "hello" x)] - } - @defproc[(reverse [l list?]) list]{ - Creates a reversed version of a list. - @interaction[#:eval (bsl) x (reverse x)] - } - @defproc[(assq [x any/c][l list?]) (union false cons?)]{ - Determines whether some item is the first item of a pair in a list of - pairs. (It compares the items with @racket[eq?].) - @interaction[#:eval (bsl) a (assq 'b a)] - } - - - ;; LISP-ish selectors: - @defproc[(null? [x any/c]) boolean?]{ - Determines whether some value is the empty list. - @interaction[#:eval (bsl) (null? empty) (null? 42)] - } - @defproc[(null) list]{ - Another name for the empty list - @interaction[#:eval (bsl) null] - } - @defproc[((beginner-car car) [x cons?]) any/c]{ - Selects the first item of a non-empty list. - @interaction[#:eval (bsl) x (car x)] - } - @defproc[((beginner-cdr cdr) [x cons?]) any/c]{ - Selects the rest of a non-empty list. - @interaction[#:eval (bsl) x (cdr x)] - } - @defproc[(cadr [x list?]) any/c]{ - LISP-style selector: @racket[(car (cdr x))]. - @interaction[#:eval (bsl) x (cadr x)] - } - @defproc[(cdar [x list?]) list?]{ - LISP-style selector: @racket[(cdr (car x))]. - @interaction[#:eval (bsl) y (cdar y)] - } - @defproc[(caar [x list?]) any/c]{ - LISP-style selector: @racket[(car (car x))]. - @interaction[#:eval (bsl) y (caar y)] - } - @defproc[(cddr [x list?]) list? ]{ - LISP-style selector: @racket[(cdr (cdr x))]. - @interaction[#:eval (bsl) x (cddr x)] - } - @defproc[(caddr [x list?]) any/c]{ - LISP-style selector: @racket[(caddr x)]. - @interaction[#:eval (bsl) x (caddr x)] - } - @defproc[(caadr [x list?]) any/c]{ - LISP-style selector: @racket[(car (car (cdr x)))]. - @interaction[#:eval (bsl) z (caadr z)] - } - @defproc[(caaar [x list?]) any/c]{ - LISP-style selector: @racket[(car (car (car (car x))))]. - @interaction[#:eval (bsl) w (caaar w)] - } - @defproc[(cdaar [x list?]) any/c]{ - LISP-style selector: @racket[(cdr (cadr (car x)))]. - @interaction[#:eval (bsl) w (cdaar w)] - } - @defproc[(cdadr [x list?]) any/c]{ - LISP-style selector: @racket[(cdr (car (cdr x)))]. - @interaction[#:eval (bsl) z (cdadr z)] - } - @defproc[(cadar [x list?]) any/c]{ - LISP-style selector: @racket[(car (cdr (car x)))]. - @interaction[#:eval (bsl) w (cadar w)] - } - @defproc[(cddar [x list?]) any/c]{ - LISP-style selector: @racket[(cdr (cdr (car x)))] - @interaction[#:eval (bsl) w (cddar w)] - } - @defproc[(cdddr [x list?]) any/c]{ - LISP-style selector: @racket[(cdr (cdr (cdr x)))]. - @interaction[#:eval (bsl) v (cdddr v)] - } - @defproc[(cadddr [x list?]) any/c]{ - LISP-style selector: @racket[(car (cdr (cdr (cdr x))))]. - @interaction[#:eval (bsl) v (cadddr v)] - }) - - ("Posns" - @defproc[(posn) signature]{Signature for posns.} - @defproc[(make-posn [x any/c][y any/c]) posn]{ - Constructs a posn from two arbitrary values. - @interaction[#:eval (bsl) (make-posn 3 3) (make-posn "hello" true)] - } - @defproc[(posn? [x any/c]) boolean?]{ - Determines if its input is a posn. - @interaction[#:eval (bsl) q (posn? q) (posn? 42)] - } - @defproc[(posn-x [p posn]) any]{ - Extracts the x component of a posn. - @interaction[#:eval (bsl) p (posn-x p)] - } - @defproc[(posn-y [p posn]) any]{ - Extracts the y component of a posn. - @interaction[#:eval (bsl) p (posn-y p)] - }) + ("Lists" + @defproc[(cons? [x any/c]) boolean?]{ + Determines whether some value is a constructed list. + @interaction[#:eval (bsl-eval) (cons? (cons 1 empty)) (cons? 42)] + } + @defproc[(empty? [x any/c]) boolean?]{ + Determines whether some value is the empty list. + @interaction[#:eval (bsl) (empty? empty) (empty? 42)] + } + @defproc[((beginner-cons cons) [x any/x][y list?]) list?]{ + Constructs a list. + @interaction[#:eval (bsl-eval) (cons 1 empty)] + } + @defproc[((beginner-first first) [x cons?]) any/c]{ + Selects the first item of a non-empty list. + @interaction[#:eval (bsl) x (first x)] + } + @defproc[((beginner-rest rest) [x cons?]) any/c]{ + Selects the rest of a non-empty list. + @interaction[#:eval (bsl) x (rest x)] + } + @defproc[(second [x list?]) any/c]{ + Selects the second item of a non-empty list. + @interaction[#:eval (bsl) x (second x)] + } + @defproc[(third [x list?]) any/c]{ + Selects the third item of a non-empty list. + @interaction[#:eval (bsl) x (third x)] + } + + @defproc[(fourth [x list?]) any/c]{ + Selects the fourth item of a non-empty list. + @interaction[#:eval (bsl) v (fourth v)] + } + + @defproc[(fifth [x list?]) any/c]{ + Selects the fifth item of a non-empty list. + @interaction[#:eval (bsl) v (fifth v)] + } + @defproc[(sixth [x list?]) any/c]{ + Selects the sixth item of a non-empty list. + @interaction[#:eval (bsl) v (sixth v)] + } + @defproc[(seventh [x list?]) any/c]{ + Selects the seventh item of a non-empty list. + @interaction[#:eval (bsl) v (seventh v)] + } + @defproc[(eighth [x list?]) any/c]{ + Selects the eighth item of a non-empty list. + @interaction[#:eval (bsl) v (eighth v)] + } + @defproc[(list-ref [x list?][i natural?]) any/c]{ + Extracts the indexed item from the list. + @interaction[#:eval (bsl) v (list-ref v 9)] + } + @defproc[(list [x any/c] ... ) list?]{ + Constructs a list of its arguments. + @interaction[#:eval (bsl-eval) (list 1 2 3 4 5 6 7 8 9 0)] + } + @defproc[(make-list [i natural-number] [x any/c]) list?]{ + Constructs a list of @racket[i] copies of @racket[x]. + @interaction[#:eval (bsl-eval) (make-list 3 "hello")] + } + @defproc[((beginner-list* list*) [x any/c] ... [l list?]) list?]{ + Constructs a list by adding multiple items to a list. + @interaction[#:eval (bsl-eval (define x (list 2 "hello" true))) x (list* 4 3 x)] + } + @defproc[((beginner-range range) [start number][end number][step number]) list?]{ + Constructs a list of numbers by @racket[step]ping from @racket[start] + to @racket[end]. + @interaction[#:eval (bsl-eval) (range 0 10 2)] + } + @defproc[((beginner-append append) [x list?][y list?][z list?] ...) list?]{ + Creates a single list from several, by juxtaposition of the items. + @interaction[#:eval (bsl) (append (cons 1 (cons 2 empty)) (cons "a" (cons "b" empty)))] + } + @defproc[(length (l list?)) natural-number?]{ + Evaluates the number of items on a list. + @interaction[#:eval (bsl) x (length x)] + } + @defproc[((beginner-memq memq) [x any/c][l list?]) boolean?]{ + Determines whether some value @racket[x] is on some list @racket[l], + using @racket[eq?] to compare @racket[x] with items on @racket[l]. + @interaction[#:eval (bsl) x (memq (list (list 1 2 3)) x)] + } + @defproc[((beginner-memq? memq?) [x any/c][l list?]) boolean?]{ + Determines whether some value @racket[x] is on some list @racket[l], + using @racket[eq?] to compare @racket[x] with items on @racket[l]. + @interaction[#:eval (bsl) x (memq? (list (list 1 2 3)) x)] + } + @defproc[(memv [x any/c][l list?]) (or/c false list)]{ + Determines whether some value is on the list if so, it produces the + suffix of the list that starts with x if not, it produces false. (It + compares values with the eqv? predicate.) + @interaction[#:eval (bsl) x (memv (list (list 1 2 3)) x)] + } + @defproc[((beginner-member? member?) [x any/c][l list?]) boolean?]{ + Determines whether some value is on the list (comparing values with equal?). + @interaction[#:eval (bsl) x (member? "hello" x)] + } + @defproc[((beginner-member member) [x any/c][l list?]) boolean?]{ + Determines whether some value is on the list (comparing values with equal?). + @interaction[#:eval (bsl) x (member "hello" x)] + } + @defproc[((beginner-remove remove) [x any/c][l list?]) list?]{ + Constructs a list like the given one with the first occurrence of the + given item removed (comparing values with equal?). + @interaction[#:eval (bsl) x (remove "hello" x)] + } + @defproc[(reverse [l list?]) list]{ + Creates a reversed version of a list. + @interaction[#:eval (bsl) x (reverse x)] + } + @defproc[(assq [x any/c][l list?]) (union false cons?)]{ + Determines whether some item is the first item of a pair in a list of + pairs. (It compares the items with @racket[eq?].) + @interaction[#:eval (bsl) a (assq 'b a)] + } + + + ;; LISP-ish selectors: + @defproc[(null? [x any/c]) boolean?]{ + Determines whether some value is the empty list. + @interaction[#:eval (bsl) (null? empty) (null? 42)] + } + @defthing[null list]{Another name for the empty list + @interaction[#:eval (bsl) null] + } + @defproc[((beginner-car car) [x cons?]) any/c]{ + Selects the first item of a non-empty list. + @interaction[#:eval (bsl) x (car x)] + } + @defproc[((beginner-cdr cdr) [x cons?]) any/c]{ + Selects the rest of a non-empty list. + @interaction[#:eval (bsl) x (cdr x)] + } + @defproc[(cadr [x list?]) any/c]{ + LISP-style selector: @racket[(car (cdr x))]. + @interaction[#:eval (bsl) x (cadr x)] + } + @defproc[(cdar [x list?]) list?]{ + LISP-style selector: @racket[(cdr (car x))]. + @interaction[#:eval (bsl) y (cdar y)] + } + @defproc[(caar [x list?]) any/c]{ + LISP-style selector: @racket[(car (car x))]. + @interaction[#:eval (bsl) y (caar y)] + } + @defproc[(cddr [x list?]) list? ]{ + LISP-style selector: @racket[(cdr (cdr x))]. + @interaction[#:eval (bsl) x (cddr x)] + } + @defproc[(caddr [x list?]) any/c]{ + LISP-style selector: @racket[(caddr x)]. + @interaction[#:eval (bsl) x (caddr x)] + } + @defproc[(caadr [x list?]) any/c]{ + LISP-style selector: @racket[(car (car (cdr x)))]. + @interaction[#:eval (bsl) z (caadr z)] + } + @defproc[(caaar [x list?]) any/c]{ + LISP-style selector: @racket[(car (car (car (car x))))]. + @interaction[#:eval (bsl) w (caaar w)] + } + @defproc[(cdaar [x list?]) any/c]{ + LISP-style selector: @racket[(cdr (cadr (car x)))]. + @interaction[#:eval (bsl) w (cdaar w)] + } + @defproc[(cdadr [x list?]) any/c]{ + LISP-style selector: @racket[(cdr (car (cdr x)))]. + @interaction[#:eval (bsl) z (cdadr z)] + } + @defproc[(cadar [x list?]) any/c]{ + LISP-style selector: @racket[(car (cdr (car x)))]. + @interaction[#:eval (bsl) w (cadar w)] + } + @defproc[(cddar [x list?]) any/c]{ + LISP-style selector: @racket[(cdr (cdr (car x)))] + @interaction[#:eval (bsl) w (cddar w)] + } + @defproc[(cdddr [x list?]) any/c]{ + LISP-style selector: @racket[(cdr (cdr (cdr x)))]. + @interaction[#:eval (bsl) v (cdddr v)] + } + @defproc[(cadddr [x list?]) any/c]{ + LISP-style selector: @racket[(car (cdr (cdr (cdr x))))]. + @interaction[#:eval (bsl) v (cadddr v)] + }) - ("Characters" - @defproc[(char? [x any/c]) boolean?]{ - Determines whether a value is a character. - @interaction[#:eval (bsl) (char? "a") (char? #\a)] - } - @defproc[(char=? [c char][d char][e char] ...) boolean?]{ - Determines whether the characters are equal. - @interaction[#:eval (bsl) (char=? #\b #\a)] - } - @defproc[(char? [c char][d char][e char] ...) boolean?]{ - Determines whether the characters are sorted in a strictly decreasing manner. - @interaction[#:eval (bsl) (char>? #\A #\z #\a)] - } - @defproc[(char<=? [c char][d char][e char] ...) boolean?]{ - Determines whether the characterc are ordered in a strictly increasing manner. - @interaction[#:eval (bsl) (char<=? #\a #\a #\b)] - } - @defproc[(char>=? [c char][d char][e char] ...) boolean?]{ - Determines whether the characters are sorted in a decreasing manner. - @interaction[#:eval (bsl) (char>=? #\b #\b #\a)] - } - @defproc[(char-ci=? [c char][d char][e char] ...) boolean?]{ - Determines whether two characters are equal in a case-insensitive - manner. - @interaction[#:eval (bsl) (char-ci=? #\b #\B)] - } - @defproc[(char-ci? [c char][d char][e char] ...) boolean?]{ - Determines whether the characters are sorted in a strictly decreasing and case-insensitive manner. - @interaction[#:eval (bsl) (char-ci>? #\b #\B) (char>? #\b #\B)] - } - @defproc[(char-ci<=? [c char][d char][e char] ...) boolean?]{ - Determines whether the characterc are ordered in an increasing and case-insensitive manner. - @interaction[#:eval (bsl) (char-ci<=? #\b #\B) (char<=? #\b #\B)] - } - @defproc[(char-ci>=? [c char][d char][e char] ...) boolean?]{ - Determines whether the characters are sorted in a decreasing and case-insensitive manner. - @interaction[#:eval (bsl) (char-ci>=? #\b #\C) (char>=? #\b #\C)] - } - @defproc[(char-numeric? [c char]) boolean?]{ - Determines whether a character represents a digit. - @interaction[#:eval (bsl) (char-numeric? #\9)] - } - @defproc[(char-alphabetic? [c char]) boolean?]{ - Determines whether a character represents an alphabetic character. - @interaction[#:eval (bsl) (char-alphabetic? #\Q)] - } - @defproc[(char-whitespace? [c char]) boolean?]{ - Determines whether a character represents space. - @interaction[#:eval (bsl) (char-whitespace? #\tab)] - } - @defproc[(char-upper-case? [c char]) boolean?]{ - Determines whether a character is an upper-case character. - @interaction[#:eval (bsl) (char-upper-case? #\T)] - } - @defproc[(char-lower-case? [c char]) boolean?]{ - Determines whether a character is a lower-case character. - @interaction[#:eval (bsl) (char-lower-case? #\T)] - } - @defproc[(char-upcase [c char]) char]{ - Produces the equivalent upper-case character. - @interaction[#:eval (bsl) (char-upcase #\t)] - } - @defproc[(char-downcase [c char]) char]{ - Produces the equivalent lower-case character. - @interaction[#:eval (bsl) (char-downcase #\T)] - } - @defproc[(char->integer [c char]) integer]{ - Lookups the number that corresponds to the given character in the ASCII table (if any). - @interaction[#:eval (bsl) (char->integer #\a) (char->integer #\z)] - }) + ("Posns" + @defproc[(posn) signature]{Signature for posns.} + @defproc[(make-posn [x any/c][y any/c]) posn]{ + Constructs a posn from two arbitrary values. + @interaction[#:eval (bsl) (make-posn 3 3) (make-posn "hello" true)] + } + @defproc[(posn? [x any/c]) boolean?]{ + Determines if its input is a posn. + @interaction[#:eval (bsl) q (posn? q) (posn? 42)] + } + @defproc[(posn-x [p posn]) any]{ + Extracts the x component of a posn. + @interaction[#:eval (bsl) p (posn-x p)] + } + @defproc[(posn-y [p posn]) any]{ + Extracts the y component of a posn. + @interaction[#:eval (bsl) p (posn-y p)] + }) - ("Strings" - @defproc[(string? [x any/c]) boolean?]{ - Determines whether a value is a string. - @interaction[#:eval (bsl) (string? "hello world") (string? 42)] - } - @defproc[(string-length [s string]) nat]{ - Determines the length of a string. - @interaction[#:eval (bsl) (string-length "hello world")] - } - @defproc[((beginner-string-ith string-ith) [s string][i natural-number]) 1string?]{ - Extracts the @racket[i]th 1-letter substring from @racket[s]. - @interaction[#:eval (bsl) (string-ith "hello world" 1)] - } - @defproc[((beginner-replicate replicate) [i natural-number][s string]) string]{ - Replicates @racket[s] @racket[i] times. - @interaction[#:eval (bsl) (replicate 3 "h")] - } - @defproc[((beginner-int->string int->string) [i integer]) string]{ - Converts an integer in [0,55295] or [57344 1114111] to a 1-letter string. - @interaction[#:eval (bsl) (int->string 65)] - } - @defproc[((beginner-string->int string->int) [s string]) integer]{ - Converts a 1-letter string to an integer in [0,55295] or [57344, 1114111]. - @interaction[#:eval (bsl) (string->int "a")] - } - @defproc[((beginner-explode explode) [s string]) (listof string)]{ - Translates a string into a list of 1-letter strings. - @interaction[#:eval (bsl) (explode "cat")] - } - @defproc[((beginner-implode implode) [l list?]) string]{ - Concatenates the list of 1-letter strings into one string. - @interaction[#:eval (bsl) (implode (cons "c" (cons "a" (cons "t" empty))))] - } - @defproc[((beginner-string-numeric? string-numeric?) [s string]) boolean?]{ - Determines whether all 'letters' in the string are numeric. - @interaction[#:eval (bsl) (string-numeric? "123") (string-numeric? "1-2i")] - } - @defproc[((beginner-string-alphabetic? string-alphabetic?) [s string]) boolean?]{ - Determines whether all 'letters' in the string are alphabetic. - @interaction[#:eval (bsl) (string-alphabetic? "123") (string-alphabetic? "cat")] - } - @defproc[((beginner-string-whitespace? string-whitespace?) [s string]) boolean?]{ - Determines whether all 'letters' in the string are white space. - @interaction[#:eval (bsl) (string-whitespace? (string-append " " (string #\tab #\newline #\return)))] - } - @defproc[((beginner-string-upper-case? string-upper-case?) [s string]) boolean?]{ - Determines whether all 'letters' in the string are upper case. - @interaction[#:eval (bsl) (string-upper-case? "CAT")] - } - @defproc[((beginner-string-lower-case? string-lower-case?) [s string]) boolean?]{ - Determines whether all 'letters' in the string are lower case. - @interaction[#:eval (bsl) (string-lower-case? "CAT")] - } - @defproc[((beginner-string-contains? string-contains?) [s string] [t string]) boolean?]{ - Determines whether the first string appears literally in the second one. - @interaction[#:eval (bsl) (string-contains? "at" "cat")] - } - @defproc[(string [c char] ...) string?]{ - Builds a string of the given characters. - @interaction[#:eval (bsl) (string #\d #\o #\g)] - } - @defproc[(make-string [i natural-number][c char]) string]{ - Produces a string of length @racket[i] from @racket[c]. - @interaction[#:eval (bsl) (make-string 3 #\d)] - } - @defproc[(string-ref [s string][i natural-number]) char]{ - Extracts the @racket[i]th character from @racket[s]. - @interaction[#:eval (bsl) (string-ref "cat" 2)] - } - @defproc[(substring [s string][i natural-number][j natural-number]) string]{ - Extracts the substring starting at @racket[i] up to @racket[j] (or the - end if @racket[j] is not provided). - @interaction[#:eval (bsl) (substring "hello world" 1 5) (substring "hello world" 4)] - } - @defproc[(string-copy [s string]) string]{ - Copies a string. @;why is it included? - @interaction[#:eval (bsl) (string-copy "hello")] - } - @defproc[(string-append [s string] ...) string]{ - Juxtaposes the characters of several strings. - @interaction[#:eval (bsl) (string-append "hello" " " "world" " " "good bye")] - } - @defproc[(string=? [s string][t string][x string] ...) boolean?]{ - Determines whether all strings are equal, character for character. - @interaction[#:eval (bsl) (string=? "hello" "world") (string=? "bye" "bye")] - } - @defproc[(string? [s string][t string][x string] ...) boolean?]{ - Determines whether the strings are ordered in a lexicographically strictly decreasing manner. - @interaction[#:eval (bsl) (string>? "zoo" "world" "hello")] - } - @defproc[(string<=? [s string][t string][x string] ...) boolean?]{ - Determines whether the strings are ordered in a lexicographically increasing manner. - @interaction[#:eval (bsl) (string<=? "hello" "hello" "world" "zoo")] - } - @defproc[(string>=? [s string][t string][x string] ...) boolean?]{ - Determines whether the strings are ordered in a lexicographically decreasing manner. - @interaction[#:eval (bsl) (string>=? "zoo" "zoo" "world" "hello")] - } - @defproc[(string-ci=? [s string][t string][x string] ...) boolean?]{ - Determines whether all strings are equal, character for character, regardless of case. - @interaction[#:eval (bsl) (string-ci=? "hello" "HellO")] - } - @defproc[(string-ci? [s string][t string][x string] ...) boolean?]{ - Determines whether the strings are ordered in a lexicographically strictly decreasing and case-insensitive manner. - @interaction[#:eval (bsl) (string-ci>? "zoo" "WORLD" "hello")] - } - @defproc[(string-ci<=? [s string][t string][x string] ...) boolean?]{ - Determines whether the strings are ordered in a lexicographically increasing and case-insensitive manner. - @interaction[#:eval (bsl) (string-ci<=? "hello" "WORLD" "zoo")] - } - @defproc[(string-ci>=? [s string][t string][x string] ...) boolean?]{ - Determines whether the strings are ordered in a lexicographically decreasing and case-insensitive manner. - @interaction[#:eval (bsl) (string-ci>? "zoo" "WORLD" "hello")] - } - @defproc[(string->symbol [s string]) symbol]{ - Converts a string into a symbol. - @interaction[#:eval (bsl) (string->symbol "hello")] - } - @defproc[(string->number [s string]) (union number false)]{ - Converts a string into a number, produce false if impossible. - @interaction[#:eval (bsl) (string->number "-2.03") (string->number "1-2i")] - } - @defproc[(string->list [s string]) (listof char)]{ - Converts a string into a list of characters. - @interaction[#:eval (bsl) (string->list "hello")] - } - @defproc[(list->string [l list?]) string]{ - Converts a s list of characters into a string. - @interaction[#:eval (bsl) (list->string (cons #\c (cons #\a (cons #\t empty))))] - } - @defproc[(format [f string] [x any/c] ...) string]{ - Formats a string, possibly embedding values. - @interaction[#:eval (bsl) - (format "Dear Dr. ~a:" "Flatt") - (format "Dear Dr. ~s:" "Flatt") - (format "the value of ~s is ~a" '(+ 1 1) (+ 1 1)) - ] - }) - - ("Images" - @defproc[(image? [x any/c]) boolean?]{ - Determines whether a value is an image. - @interaction[#:eval (bsl) c1 (image? c1)] - } - @defproc[(image=? [i image][j image]) boolean?]{ - Determines whether two images are equal. - @interaction[#:eval (bsl) c1 (image=? (circle 5 "solid" "green") c1) (image=? (circle 10 "solid" "green") c1)] - }) + ("Characters" + @defproc[(char? [x any/c]) boolean?]{ + Determines whether a value is a character. + @interaction[#:eval (bsl) (char? "a") (char? #\a)] + } + @defproc[(char=? [c char][d char][e char] ...) boolean?]{ + Determines whether the characters are equal. + @interaction[#:eval (bsl) (char=? #\b #\a)] + } + @defproc[(char? [c char][d char][e char] ...) boolean?]{ + Determines whether the characters are sorted in a strictly decreasing manner. + @interaction[#:eval (bsl) (char>? #\A #\z #\a)] + } + @defproc[(char<=? [c char][d char][e char] ...) boolean?]{ + Determines whether the characterc are ordered in a strictly increasing manner. + @interaction[#:eval (bsl) (char<=? #\a #\a #\b)] + } + @defproc[(char>=? [c char][d char][e char] ...) boolean?]{ + Determines whether the characters are sorted in a decreasing manner. + @interaction[#:eval (bsl) (char>=? #\b #\b #\a)] + } + @defproc[(char-ci=? [c char][d char][e char] ...) boolean?]{ + Determines whether two characters are equal in a case-insensitive + manner. + @interaction[#:eval (bsl) (char-ci=? #\b #\B)] + } + @defproc[(char-ci? [c char][d char][e char] ...) boolean?]{ + Determines whether the characters are sorted in a strictly decreasing and case-insensitive manner. + @interaction[#:eval (bsl) (char-ci>? #\b #\B) (char>? #\b #\B)] + } + @defproc[(char-ci<=? [c char][d char][e char] ...) boolean?]{ + Determines whether the characterc are ordered in an increasing and case-insensitive manner. + @interaction[#:eval (bsl) (char-ci<=? #\b #\B) (char<=? #\b #\B)] + } + @defproc[(char-ci>=? [c char][d char][e char] ...) boolean?]{ + Determines whether the characters are sorted in a decreasing and case-insensitive manner. + @interaction[#:eval (bsl) (char-ci>=? #\b #\C) (char>=? #\b #\C)] + } + @defproc[(char-numeric? [c char]) boolean?]{ + Determines whether a character represents a digit. + @interaction[#:eval (bsl) (char-numeric? #\9)] + } + @defproc[(char-alphabetic? [c char]) boolean?]{ + Determines whether a character represents an alphabetic character. + @interaction[#:eval (bsl) (char-alphabetic? #\Q)] + } + @defproc[(char-whitespace? [c char]) boolean?]{ + Determines whether a character represents space. + @interaction[#:eval (bsl) (char-whitespace? #\tab)] + } + @defproc[(char-upper-case? [c char]) boolean?]{ + Determines whether a character is an upper-case character. + @interaction[#:eval (bsl) (char-upper-case? #\T)] + } + @defproc[(char-lower-case? [c char]) boolean?]{ + Determines whether a character is a lower-case character. + @interaction[#:eval (bsl) (char-lower-case? #\T)] + } + @defproc[(char-upcase [c char]) char]{ + Produces the equivalent upper-case character. + @interaction[#:eval (bsl) (char-upcase #\t)] + } + @defproc[(char-downcase [c char]) char]{ + Produces the equivalent lower-case character. + @interaction[#:eval (bsl) (char-downcase #\T)] + } + @defproc[(char->integer [c char]) integer]{ + Lookups the number that corresponds to the given character in the ASCII table (if any). + @interaction[#:eval (bsl) (char->integer #\a) (char->integer #\z)] + }) - ("Misc" - @defproc[(identity [x any/c]) any]{ - Returns @racket[x]. - @interaction[#:eval (bsl) (identity 42) (identity c1) (identity "hello")] - } - @defproc[((beginner-error error) [x any/c] ...) void?]{ - Signals an error, combining the given values - into an error message. If any of the values' - printed representations is too long, it is - truncated and ``...'' is put into the string. - If the first value is a symbol, it is suffixed with a colon and the - result pre-pended on to the error message. - @interaction[#:eval (bsl) zero (if (= zero 0) (error "can't divide by 0") (/ 1 zero))] - } - @defproc[((beginner-struct? struct?) [x any/c]) boolean?]{ - Determines whether some value is a structure. - @interaction[#:eval (bsl) (struct? (make-posn 1 2)) (struct? 43)] - } - @defproc[((beginner-equal? equal?) [x any/c][y any/c]) boolean?]{ - Determines whether two values are structurally equal where basic values - are compared with the eqv? predicate. - @interaction[#:eval (bsl) (equal? (make-posn 1 2) (make-posn (- 2 1) (+ 1 1)))] - } - @defproc[(eq? [x any/c][y any/c]) boolean?]{ - Determines whether two values are equivalent from the computer's perspective (intensional). - @interaction[#:eval (bsl) (eq? (cons 1 empty) (cons 1 empty)) one (eq? one one)] - } - @defproc[(eqv? [x any/c][y any/c]) boolean?]{ - Determines whether two values are equivalent from the perspective of all functions that can be applied to it (extensional). - @interaction[#:eval (bsl) (eqv? (cons 1 empty) (cons 1 empty)) one (eqv? one one)] - } - @defproc[((beginner-=~ =~) [x number][y number][z non-negative-real]) boolean?]{ - Checks whether @racket[x] and @racket[y] are within @racket[z] of either other. - @interaction[#:eval (bsl) (=~ 1.01 1.0 .1) (=~ 1.01 1.5 .1)] - } - @defproc[((beginner-equal~? equal~?) [x any/c][y any/c][z non-negative-real]) boolean?]{ - Compares @racket[x] and @racket[y] like @racket[equal?] but uses =~ in the case of numbers. - @interaction[#:eval (bsl) (equal~? (make-posn 1.01 1.0) (make-posn 1.01 .99) .2)] - } - @defproc[(eof) eof-object?]{ - A value that represents the end of a file: - @interaction[#:eval (bsl) eof] - } - @defproc[(eof-object? [x any/c]) boolean?]{ - Determines whether some value is the end-of-file value. - @interaction[#:eval (bsl) (eof-object? eof) (eof-object? 42)] - } - @defproc[((beginner-exit exit)) void]{ - Evaluating @racket[(exit)] terminates the running program. - })) + ("Strings" + @defproc[(string? [x any/c]) boolean?]{ + Determines whether a value is a string. + @interaction[#:eval (bsl) (string? "hello world") (string? 42)] + } + @defproc[(string-length [s string]) nat]{ + Determines the length of a string. + @interaction[#:eval (bsl) (string-length "hello world")] + } + @defproc[((beginner-string-ith string-ith) [s string][i natural-number]) 1string?]{ + Extracts the @racket[i]th 1-letter substring from @racket[s]. + @interaction[#:eval (bsl) (string-ith "hello world" 1)] + } + @defproc[((beginner-replicate replicate) [i natural-number][s string]) string]{ + Replicates @racket[s] @racket[i] times. + @interaction[#:eval (bsl) (replicate 3 "h")] + } + @defproc[((beginner-int->string int->string) [i integer]) string]{ + Converts an integer in [0,55295] or [57344 1114111] to a 1-letter string. + @interaction[#:eval (bsl) (int->string 65)] + } + @defproc[((beginner-string->int string->int) [s string]) integer]{ + Converts a 1-letter string to an integer in [0,55295] or [57344, 1114111]. + @interaction[#:eval (bsl) (string->int "a")] + } + @defproc[((beginner-explode explode) [s string]) (listof string)]{ + Translates a string into a list of 1-letter strings. + @interaction[#:eval (bsl) (explode "cat")] + } + @defproc[((beginner-implode implode) [l list?]) string]{ + Concatenates the list of 1-letter strings into one string. + @interaction[#:eval (bsl) (implode (cons "c" (cons "a" (cons "t" empty))))] + } + @defproc[((beginner-string-numeric? string-numeric?) [s string]) boolean?]{ + Determines whether all 'letters' in the string are numeric. + @interaction[#:eval (bsl) (string-numeric? "123") (string-numeric? "1-2i")] + } + @defproc[((beginner-string-alphabetic? string-alphabetic?) [s string]) boolean?]{ + Determines whether all 'letters' in the string are alphabetic. + @interaction[#:eval (bsl) (string-alphabetic? "123") (string-alphabetic? "cat")] + } + @defproc[((beginner-string-whitespace? string-whitespace?) [s string]) boolean?]{ + Determines whether all 'letters' in the string are white space. + @interaction[#:eval (bsl) (string-whitespace? (string-append " " (string #\tab #\newline #\return)))] + } + @defproc[((beginner-string-upper-case? string-upper-case?) [s string]) boolean?]{ + Determines whether all 'letters' in the string are upper case. + @interaction[#:eval (bsl) (string-upper-case? "CAT")] + } + @defproc[((beginner-string-lower-case? string-lower-case?) [s string]) boolean?]{ + Determines whether all 'letters' in the string are lower case. + @interaction[#:eval (bsl) (string-lower-case? "CAT")] + } + @defproc[((beginner-string-contains? string-contains?) [s string] [t string]) boolean?]{ + Determines whether the first string appears literally in the second one. + @interaction[#:eval (bsl) (string-contains? "at" "cat")] + } + @defproc[(string [c char] ...) string?]{ + Builds a string of the given characters. + @interaction[#:eval (bsl) (string #\d #\o #\g)] + } + @defproc[(make-string [i natural-number][c char]) string]{ + Produces a string of length @racket[i] from @racket[c]. + @interaction[#:eval (bsl) (make-string 3 #\d)] + } + @defproc[(string-ref [s string][i natural-number]) char]{ + Extracts the @racket[i]th character from @racket[s]. + @interaction[#:eval (bsl) (string-ref "cat" 2)] + } + @defproc[(substring [s string][i natural-number][j natural-number]) string]{ + Extracts the substring starting at @racket[i] up to @racket[j] (or the + end if @racket[j] is not provided). + @interaction[#:eval (bsl) (substring "hello world" 1 5) (substring "hello world" 4)] + } + @defproc[(string-copy [s string]) string]{ + Copies a string. @;why is it included? + @interaction[#:eval (bsl) (string-copy "hello")] + } + @defproc[(string-append [s string] ...) string]{ + Juxtaposes the characters of several strings. + @interaction[#:eval (bsl) (string-append "hello" " " "world" " " "good bye")] + } + @defproc[(string=? [s string][t string][x string] ...) boolean?]{ + Determines whether all strings are equal, character for character. + @interaction[#:eval (bsl) (string=? "hello" "world") (string=? "bye" "bye")] + } + @defproc[(string? [s string][t string][x string] ...) boolean?]{ + Determines whether the strings are ordered in a lexicographically strictly decreasing manner. + @interaction[#:eval (bsl) (string>? "zoo" "world" "hello")] + } + @defproc[(string<=? [s string][t string][x string] ...) boolean?]{ + Determines whether the strings are ordered in a lexicographically increasing manner. + @interaction[#:eval (bsl) (string<=? "hello" "hello" "world" "zoo")] + } + @defproc[(string>=? [s string][t string][x string] ...) boolean?]{ + Determines whether the strings are ordered in a lexicographically decreasing manner. + @interaction[#:eval (bsl) (string>=? "zoo" "zoo" "world" "hello")] + } + @defproc[(string-ci=? [s string][t string][x string] ...) boolean?]{ + Determines whether all strings are equal, character for character, regardless of case. + @interaction[#:eval (bsl) (string-ci=? "hello" "HellO")] + } + @defproc[(string-ci? [s string][t string][x string] ...) boolean?]{ + Determines whether the strings are ordered in a lexicographically strictly decreasing and case-insensitive manner. + @interaction[#:eval (bsl) (string-ci>? "zoo" "WORLD" "hello")] + } + @defproc[(string-ci<=? [s string][t string][x string] ...) boolean?]{ + Determines whether the strings are ordered in a lexicographically increasing and case-insensitive manner. + @interaction[#:eval (bsl) (string-ci<=? "hello" "WORLD" "zoo")] + } + @defproc[(string-ci>=? [s string][t string][x string] ...) boolean?]{ + Determines whether the strings are ordered in a lexicographically decreasing and case-insensitive manner. + @interaction[#:eval (bsl) (string-ci>? "zoo" "WORLD" "hello")] + } + @defproc[(string->symbol [s string]) symbol]{ + Converts a string into a symbol. + @interaction[#:eval (bsl) (string->symbol "hello")] + } + @defproc[(string->number [s string]) (union number false)]{ + Converts a string into a number, produce false if impossible. + @interaction[#:eval (bsl) (string->number "-2.03") (string->number "1-2i")] + } + @defproc[(string->list [s string]) (listof char)]{ + Converts a string into a list of characters. + @interaction[#:eval (bsl) (string->list "hello")] + } + @defproc[(list->string [l list?]) string]{ + Converts a s list of characters into a string. + @interaction[#:eval (bsl) (list->string (cons #\c (cons #\a (cons #\t empty))))] + } + @defproc[(format [f string] [x any/c] ...) string]{ + Formats a string, possibly embedding values. + @interaction[#:eval (bsl) + (format "Dear Dr. ~a:" "Flatt") + (format "Dear Dr. ~s:" "Flatt") + (format "the value of ~s is ~a" '(+ 1 1) (+ 1 1)) + ] + }) + + ("Images" + @defproc[(image? [x any/c]) boolean?]{ + Determines whether a value is an image. + @interaction[#:eval (bsl) c1 (image? c1)] + } + @defproc[(image=? [i image][j image]) boolean?]{ + Determines whether two images are equal. + @interaction[#:eval (bsl) c1 (image=? (circle 5 "solid" "green") c1) (image=? (circle 10 "solid" "green") c1)] + }) + + ("Misc" + @defproc[(identity [x any/c]) any]{ + Returns @racket[x]. + @interaction[#:eval (bsl) (identity 42) (identity c1) (identity "hello")] + } + @defproc[((beginner-error error) [x any/c] ...) void?]{ + Signals an error, combining the given values + into an error message. If any of the values' + printed representations is too long, it is + truncated and ``...'' is put into the string. + If the first value is a symbol, it is suffixed with a colon and the + result pre-pended on to the error message. + @interaction[#:eval (bsl) zero (if (= zero 0) (error "can't divide by 0") (/ 1 zero))] + } + @defproc[((beginner-struct? struct?) [x any/c]) boolean?]{ + Determines whether some value is a structure. + @interaction[#:eval (bsl) (struct? (make-posn 1 2)) (struct? 43)] + } + @defproc[((beginner-equal? equal?) [x any/c][y any/c]) boolean?]{ + Determines whether two values are structurally equal where basic values + are compared with the eqv? predicate. + @interaction[#:eval (bsl) (equal? (make-posn 1 2) (make-posn (- 2 1) (+ 1 1)))] + } + @defproc[(eq? [x any/c][y any/c]) boolean?]{ + Determines whether two values are equivalent from the computer's perspective (intensional). + @interaction[#:eval (bsl) (eq? (cons 1 empty) (cons 1 empty)) one (eq? one one)] + } + @defproc[(eqv? [x any/c][y any/c]) boolean?]{ + Determines whether two values are equivalent from the perspective of all functions that can be applied to it (extensional). + @interaction[#:eval (bsl) (eqv? (cons 1 empty) (cons 1 empty)) one (eqv? one one)] + } + @defproc[((beginner-=~ =~) [x number][y number][z non-negative-real]) boolean?]{ + Checks whether @racket[x] and @racket[y] are within @racket[z] of either other. + @interaction[#:eval (bsl) (=~ 1.01 1.0 .1) (=~ 1.01 1.5 .1)] + } + @defproc[((beginner-equal~? equal~?) [x any/c][y any/c][z non-negative-real]) boolean?]{ + Compares @racket[x] and @racket[y] like @racket[equal?] but uses =~ in the case of numbers. + @interaction[#:eval (bsl) (equal~? (make-posn 1.01 1.0) (make-posn 1.01 .99) .2)] + } + @defthing[eof eof-object?]{A value that represents the end of a file: + @interaction[#:eval (bsl) eof] + } + @defproc[(eof-object? [x any/c]) boolean?]{ + Determines whether some value is the end-of-file value. + @interaction[#:eval (bsl) (eof-object? eof) (eof-object? 42)] + } + @defproc[((beginner-exit exit)) void]{ + Evaluating @racket[(exit)] terminates the running program. + })) diff --git a/collects/lang/private/provide-and-scribble.rkt b/collects/lang/private/provide-and-scribble.rkt index 42abd70132..b34ef9d747 100644 --- a/collects/lang/private/provide-and-scribble.rkt +++ b/collects/lang/private/provide-and-scribble.rkt @@ -12,10 +12,13 @@ FIX THESE: in the context where the documentation is placed 2. need to expand the allowed scribble entries to - defproc* for case-> in Advanced - defthing for e, pi, null, and eof in Beginner (and possibly elsewhere) + defthing for e, pi, null, and eof in Beginner (and possibly elsewhere). done + it feels a bit kludgey and needs changes in two files, but I don't have time + to think about it more. - then rewrite the case-> based things in Advanced + still to do: + defproc* for case-> in Advanced + rewrite the case-> based things in Advanced 3. Fix up how primitives are "overwritten" in Advanced and friends @@ -35,6 +38,7 @@ tests to run: (provide provide-and-scribble + (for-syntax extract-names) all-from all-from-except defproc) ;; --------------------------------------------------------------------------------------------------- @@ -46,6 +50,7 @@ tests to run: (define-syntax all-from provide-and-scribble-only) (define-syntax all-from-except provide-and-scribble-only) (define-syntax defproc provide-and-scribble-only) +(define-syntax defthing provide-and-scribble-only) (define-syntax (provide-and-scribble stx) (syntax-parse stx #:literals () @@ -62,20 +67,43 @@ tests to run: [(all-from tag:id path label:id) (define-values (a p) (provide-all-from #'path #'label #'tag #'())) (values (cons a add-docs-and-provide) (append (syntax->list p) provides))] - [(title (defproc (name args ...) range w ...) ...) - (define name* (syntax->list #'(name ...))) + [(title df ...) + (define name* (extract-names (syntax->list #'(df ...)))) + (define exnm* (extract-external-name name*)) + (define defs* (rewrite-defs (syntax->list #'(df ...)) exnm*)) (values (cons (lambda () ;; delay the syntax creation until add-sections is set - (with-syntax ([(ex ...) (extract-external-name name*)]) - #`(#,*add title (list (cons #'ex - (lambda (c) - (defproc #:id [ex (datum->syntax c 'ex)] - (ex args ...) range w ...))) - ...)))) + (with-syntax ([(ex ...) exnm*] + [(df ...) defs*]) + #`(#,*add title (list (cons #'ex df) ...)))) add-docs-and-provide) (cons #`(provide #,@(optional-rename-out name*)) provides))]))) (provide-and-scribble-code requires doc-tag add-docs-and-provide provides)) +;; (U defproc defthing) -> [Listof (U (Id Id) Id)] +;; extract names from documented definitions in section +(define-for-syntax (extract-names defs) + (map (λ (d) + (syntax-case d () + [(defproc (name args ...) range w ...) #'name] + [(defthing name stuff ...) #'name])) + defs)) + +;; (U defproc defthing) -> [Listof Syntax] +;; get documented definitions in section ready (parameterized over context) +(define-for-syntax (rewrite-defs defs names) + (define (rewrite-one-def d n) + (syntax-case d () + [(defproc (name args ...) range w ...) + (with-syntax ([ex n]) + #'(lambda (c) + (defproc #:id [ex (datum->syntax c 'ex)] + (ex args ...) range w ...)))] + [(defthing name range w ...) + #'(lambda (c) (defthing name range w ...))])) + (map rewrite-one-def defs names)) + + ;; Path Identifier Identifier [Listof Identifier] ->* [-> Syntax] Syntax[List] ;; create the require and provide clauses AND ;; delayed code for merging documentations from path -> label into the 'documentation' doc-tag submod