diff options
| -rw-r--r-- | net/ricketyspace/sicp/one/thirtysix.scm | 113 |
1 files changed, 113 insertions, 0 deletions
diff --git a/net/ricketyspace/sicp/one/thirtysix.scm b/net/ricketyspace/sicp/one/thirtysix.scm new file mode 100644 index 0000000..25e2c80 --- /dev/null +++ b/net/ricketyspace/sicp/one/thirtysix.scm @@ -0,0 +1,113 @@ +;;;; Under Creative Commons Attribution-ShareAlike 4.0 +;;;; International. See +;;;; <https://creativecommons.org/licenses/by-sa/4.0/>. + +(define-module (net ricketyspace sicp one thirtysix) + #:export (fixed-point x-to-the-x-1000)) + +(define tolerance 0.0000000000001) + +(define (fixed-point f first-guess) + (define (close-enough? v1 v2) + (< (abs (- v1 v2)) tolerance)) + (define (try guess) + (let ((next (f guess))) + (display next) + (newline) + (if (close-enough? guess next) + next + (try next)))) + (try first-guess)) + +(define (x-to-the-x-1000) + (fixed-point (lambda (x) (/ (log 1000) (log x))) 1.1)) + +;;; Guile REPL +;;; +;;; scheme@(guile-user)> ,use (net ricketyspace sicp one thirtysix) +;;; scheme@(guile-user)> (x-to-the-x-1000) +;;; 72.47657378429035p +;;; 1.6127318474109593 +;;; 14.45350138636525 +;;; 2.5862669415385087 +;;; 7.269672273367045 +;;; 3.4822383620848467 +;;; 5.536500810236703 +;;; 4.036406406288111 +;;; 4.95053682041456 +;;; 4.318707390180805 +;;; 4.721778787145103 +;;; 4.450341068884912 +;;; 4.626821434106115 +;;; 4.509360945293209 +;;; 4.586349500915509 +;;; 4.535372639594589 +;;; 4.568901484845316 +;;; 4.546751100777536 +;;; 4.561341971741742 +;;; 4.551712230641226 +;;; 4.558059671677587 +;;; 4.55387226495538 +;;; 4.556633177654167 +;;; 4.554812144696459 +;;; 4.556012967736543 +;;; 4.555220997683307 +;;; 4.555743265552239 +;;; 4.555398830243649 +;;; 4.555625974816275 +;;; 4.555476175432173 +;;; 4.555574964557791 +;;; 4.555509814636753 +;;; 4.555552779647764 +;;; 4.555524444961165 +;;; 4.555543131130589 +;;; 4.555530807938518 +;;; 4.555538934848503 +;;; 4.555533575300744 +;;; 4.555537109821491 +;;; 4.555534778870584 +;;; 4.555536316089023 +;;; 4.555535302322066 +;;; 4.555535970882422 +;;; 4.555535529979327 +;;; 4.555535820746685 +;;; 4.555535628991034 +;;; 4.555535755450307 +;;; 4.555535672052776 +;;; 4.555535727051891 +;;; 4.555535690781 +;;; 4.5555357147009765 +;;; 4.555535698926199 +;;; 4.555535709329369 +;;; 4.5555357024686725 +;;; 4.555535706993175 +;;; 4.555535704009349 +;;; 4.555535705977127 +;;; 4.555535704679414 +;;; 4.555535705535232 +;;; 4.555535704970835 +;;; 4.555535705343044 +;;; 4.55553570509758 +;;; 4.555535705259459 +;;; 4.555535705152702 +;;; 4.555535705223107 +;;; 4.555535705176676 +;;; 4.555535705207297 +;;; 4.555535705187102 +;;; 4.555535705200421 +;;; 4.555535705191637 +;;; 4.555535705197429 +;;; 4.555535705193611 +;;; 4.555535705196128 +;;; 4.555535705194468 +;;; 4.555535705195563 +;;; 4.55553570519484 +;;; 4.555535705195317 +;;; 4.555535705195004 +;;; 4.555535705195211 +;;; 4.555535705195074 +;;; 4.5555357051951635 +;;; $6 = 4.5555357051951635 +;;; scheme@(guile-user)> (expt 4.5555357051951635 4.5555357051951635) +;;; $7 = 1000.0000000000892 + |