**
** Copyright (c) 2000-2015, Toshimi Sawada. All rights reserved.
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** SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
**
sys:mod! INT
      principal-sort Int
{
  imports {
    protecting (NAT)
    protecting (INT-VALUE)
  }
  signature {
    pred _ divides _ : NzInt Int  { demod prec: 51 }
    op _ rem _ : Int NzInt -> Int { demod prec: 31 }
    op _ quo _ : Int NzInt -> Int { demod prec: 31 }
    op _ + _ : Int Int -> Int { assoc comm idr: 0 demod prec: 33 }
    op _ * _ : Int Int -> Int { assoc comm idr: 1 demod prec: 31 }
    pred _ < _ : Int Int  { demod prec: 51 }
    pred _ <= _ : Int Int  { demod prec: 51 }
    pred _ > _ : Int Int  { demod prec: 51 }
    pred _ >= _ : Int Int  { demod prec: 51 }
    op s _ : Int -> Int { strat: (0 1) demod prec: 15 }
    op _ - _ : Int Int -> Int { strat: (0 1 2) demod prec: 33 r-assoc }
    op - _ : Int -> Int { demod prec: 15 }
    op - _ : NzInt -> NzInt { demod prec: 15 }
  }
  axioms {
    var I : Int
    var J : Int
    var NJ : NzInt
    eq [:BDEMOD]: (- I) = #! (- i) .
    eq [:BDEMOD]: (I + J) = #! (+ i j) .
    eq [:BDEMOD]: (I - J) = (I + (- J)) .
    eq [:BDEMOD]: (I * J) = #! (* i j) .
    eq [:BDEMOD]: (I quo NJ) = #! (truncate i nj) .
    eq [:BDEMOD]: (I rem NJ) = #! (rem i nj) .
    eq [:BDEMOD]: (NJ divides I) = #! (= 0 (rem i nj)) .
    eq [:BDEMOD]: (I < J) = #! (< i j) .
    eq [:BDEMOD]: (I <= J) = #! (<= i j) .
    eq [:BDEMOD]: (I > J) = #! (> i j) .
    eq [:BDEMOD]: (I >= J) = #! (>= i j) .
    eq [:BDEMOD]: (s I) = (1 + I) .
  }
}

lispq
(defun chaos-int-tram-interface ()
  (setq *z-int* (get-z-module-or-panic "INT"))
  (push *z-int* *tram-builtin-modules*))

lispq
(eval-when (:execute :load-toplevel)
  (chaos-int-tram-interface))

provide int
protect INT
--
eof
