ikarus/scheme/tests/bignums.ss

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(library (tests bignums)
(export test-bignums)
(import (ikarus) (tests framework))
(define-tests test-bignums
; first, some simple quotients
[(lambda (x) (= x 101)) (quotient 348972 3434)]
[(lambda (x) (= x -101)) (quotient -348972 3434)]
[(lambda (x) (= x -101)) (quotient 348972 -3434)]
[(lambda (x) (= x 101)) (quotient -348972 -3434)]
; then bump first argument to a small bignum:
[(lambda (x) (= x 2255760)) (quotient 536870912 238)]
[(lambda (x) (= x -2255760)) (quotient -536870912 238)]
[(lambda (x) (= x -2255760)) (quotient 536870912 -238)]
[(lambda (x) (= x 2255760)) (quotient -536870912 -238)]
; then bump first argument to a big bignum:
[(lambda (x) (= x 1652556267336712615))
(quotient 536870912238479837489374 324873)]
[(lambda (x) (= x -1652556267336712615))
(quotient -536870912238479837489374 324873)]
[(lambda (x) (= x -1652556267336712615))
(quotient 536870912238479837489374 -324873)]
[(lambda (x) (= x 1652556267336712615))
(quotient -536870912238479837489374 -324873)]
; then make both arguments bignums, but result fixnum:
[(lambda (x) (= x 165))
(quotient 536870912238479837489374 3248732398479823749283)]
[(lambda (x) (= x -165))
(quotient -536870912238479837489374 3248732398479823749283)]
[(lambda (x) (= x -165))
(quotient 536870912238479837489374 -3248732398479823749283)]
[(lambda (x) (= x 165))
(quotient -536870912238479837489374 -3248732398479823749283)]
; then both arguments and result are all bignums:
[(lambda (x) (= x 1652555047284588078))
(quotient 5368709122384798374893743894798327498234 3248732398479823749283)]
[(lambda (x) (= x -1652555047284588078))
(quotient -5368709122384798374893743894798327498234 3248732398479823749283)]
[(lambda (x) (= x -1652555047284588078))
(quotient 5368709122384798374893743894798327498234 -3248732398479823749283)]
[(lambda (x) (= x 1652555047284588078))
(quotient -5368709122384798374893743894798327498234 -3248732398479823749283)]
[(lambda (x) (= x 23)) (remainder 23 349839489348)]
[(lambda (x) (= x -23)) (remainder -23 349839489348)]
[(lambda (x) (= x 23)) (remainder 23 -349839489348)]
[(lambda (x) (= x -23)) (remainder -23 -349839489348)]
;;; Next, modulo
; first, some simple arguments
[(lambda (x) (= x 2138)) (modulo 348972 3434)]
[(lambda (x) (= x 1296)) (modulo -348972 3434)]
[(lambda (x) (= x -1296)) (modulo 348972 -3434)]
[(lambda (x) (= x -2138)) (modulo -348972 -3434)]
; then bignum second argument: can be done with +/-
[(lambda (x) (= x 349839489325)) (modulo -23 349839489348)]
[(lambda (x) (= x -23)) (modulo -23 -349839489348)]
[(lambda (x) (= x 23)) (modulo 23 349839489348)]
[(lambda (x) (= x -349839489325)) (modulo 23 -349839489348)]
; then bump first argument to a small bignum:
[(lambda (x) (= x 32)) (remainder 536870912 238)]
[(lambda (x) (= x -32)) (remainder -536870912 238)]
[(lambda (x) (= x 32)) (remainder 536870912 -238)]
[(lambda (x) (= x -32)) (remainder -536870912 -238)]
[(lambda (x) (= x 32)) (modulo 536870912 238)]
[(lambda (x) (= x 206)) (modulo -536870912 238)]
[(lambda (x) (= x -206)) (modulo 536870912 -238)]
[(lambda (x) (= x -32)) (modulo -536870912 -238)]
; then bump first argument to a big bignum:
[(lambda (x) (= x 116479))
(modulo 536870912238479837489374 324873)]
[(lambda (x) (= x 208394))
(modulo -536870912238479837489374 324873)]
[(lambda (x) (= x -208394))
(modulo 536870912238479837489374 -324873)]
[(lambda (x) (= x -116479))
(modulo -536870912238479837489374 -324873)]
; then make both arguments bignums
;[(lambda (x) (= x 830066489308918857679))
; (modulo 536870912238479837489374 3248732398479823749283)]
;[(lambda (x) (= x 2418665909170904891604))
; (modulo -536870912238479837489374 3248732398479823749283)]
;[(lambda (x) (= x -2418665909170904891604))
; (modulo 536870912238479837489374 -3248732398479823749283)]
;[(lambda (x) (= x -830066489308918857679))
; (modulo -536870912238479837489374 -3248732398479823749283)]
))