#lang typed/racket
( require " ocm-typed.rkt " )
( require typed/rackunit )
( require math )
( define m0 ( matrix ( ( 25.0 42.0 57.0 78.0 90.0 103.0 123.0 142.0 151.0 )
( 21.0 35.0 48.0 65.0 76.0 85.0 105.0 123.0 130.0 )
( 13.0 26.0 35.0 51.0 58.0 67.0 86.0 100.0 104.0 )
( 10.0 20.0 28.0 42.0 48.0 56.0 75.0 86.0 88.0 )
( 20.0 29.0 33.0 44.0 49.0 55.0 73.0 82.0 80.0 )
( 13.0 21.0 24.0 35.0 39.0 44.0 59.0 65.0 59.0 )
( 19.0 25.0 28.0 38.0 42.0 44.0 57.0 61.0 52.0 )
( 35.0 37.0 40.0 48.0 48.0 49.0 62.0 62.0 49.0 )
( 37.0 36.0 37.0 42.0 39.0 39.0 51.0 50.0 37.0 )
( 41.0 39.0 37.0 42.0 35.0 33.0 44.0 43.0 29.0 )
( 58.0 56.0 54.0 55.0 47.0 41.0 50.0 47.0 29.0 )
( 66.0 64.0 61.0 61.0 51.0 44.0 52.0 45.0 24.0 )
( 82.0 76.0 72.0 70.0 56.0 49.0 55.0 46.0 23.0 )
( 99.0 91.0 83.0 80.0 63.0 56.0 59.0 46.0 20.0 )
( 124.0 116.0 107.0 100.0 80.0 71.0 72.0 58.0 28.0 )
( 133.0 125.0 113.0 106.0 86.0 75.0 74.0 59.0 25.0 )
( 156.0 146.0 131.0 120.0 97.0 84.0 80.0 65.0 31.0 )
( 178.0 164.0 146.0 135.0 110.0 96.0 92.0 73.0 39.0 ) ) ) )
( define m ( matrix->list* m0 ) )
( define m2 ( matrix->list* ( matrix-transpose m0 ) ) )
( check-true ( smawky? m ) )
( check-true ( smawky? m2 ) )
( : simple-entry->value Entry->Value-Type )
( define ( simple-entry->value e )
( fl ( cast e Real ) ) )
;; proc must return a value even for out-of-bounds i and j
( : simple-proc Matrix-Proc-Type )
( define ( simple-proc i j ) ( cast ( fl ( with-handlers [ ( exn:fail? ( λ ( exn ) ( * -1 i ) ) ) ]
( ( inst list-ref Value-Type ) ( ( inst list-ref ( Listof Value-Type ) ) m i ) j ) ) ) Value-Type ) )
( : simple-proc2 Matrix-Proc-Type )
( define ( simple-proc2 i j ) ( cast ( fl ( with-handlers [ ( exn:fail? ( λ ( exn ) ( * -1 i ) ) ) ]
( ( inst list-ref Value-Type ) ( ( inst list-ref ( Listof Value-Type ) ) m2 i ) j ) ) ) Value-Type ) )
( check-equal? ( simple-proc 0 2 ) 57.0 ) ; 0th row, 2nd col
( check-equal? ( simple-proc2 2 0 ) 57.0 ) ; flipped
( define row-indices ( cast ( list->vector ( range ( length m ) ) ) ( Vectorof Index-Type ) ) )
( define col-indices ( cast ( list->vector ( range ( length ( car m ) ) ) ) ( Vectorof Index-Type ) ) )
( define result ( concave-minima row-indices col-indices simple-proc simple-entry->value ) )
( check-equal?
( for/list : ( Listof ( List ( U Index-Type Entry-Type ) ( U Index-Type Entry-Type ) ) ) ( [ j ( in-vector col-indices ) ] )
( define h ( cast ( hash-ref result j ) ( HashTable Symbol ( U Index-Type Entry-Type ) ) ) )
( list ( hash-ref h minima-payload-key ) ( hash-ref h minima-idx-key ) ) )
' ( ( 10.0 3 ) ( 20.0 3 ) ( 24.0 5 ) ( 35.0 5 ) ( 35.0 9 ) ( 33.0 9 ) ( 44.0 9 ) ( 43.0 9 ) ( 20.0 13 ) ) ) ; checked against SMAWK.py
( check-equal?
( for/list : ( Listof ( List Entry-Type Index-Type ) ) ( [ j ( in-vector col-indices ) ] )
( define h ( cast ( hash-ref result j ) ( HashTable Symbol Any ) ) )
( list ( cast ( hash-ref h minima-payload-key ) Entry-Type ) ( cast ( hash-ref h minima-idx-key ) Index-Type ) ) )
' ( ( 10.0 3 ) ( 20.0 3 ) ( 24.0 5 ) ( 35.0 5 ) ( 35.0 9 ) ( 33.0 9 ) ( 44.0 9 ) ( 43.0 9 ) ( 20.0 13 ) ) ) ; checked against SMAWK.py
( define o ( make-ocm simple-proc simple-entry->value ) )
( check-equal?
( for/list : ( Listof ( List Entry-Type ( U Index-Type No-Value-Type ) ) ) ( [ j ( in-vector col-indices ) ] )
( list ( cast ( ocm-min-entry o j ) Entry-Type ) ( ocm-min-index o j ) ) )
' ( ( 0.0 none ) ( 42.0 0 ) ( 48.0 1 ) ( 51.0 2 ) ( 48.0 3 ) ( 55.0 4 ) ( 59.0 5 ) ( 61.0 6 ) ( 49.0 7 ) ) ) ; checked against SMAWK.py
( define row-indices2 ( cast ( list->vector ( range ( length m2 ) ) ) ( Vectorof Index-Type ) ) )
( define col-indices2 ( cast ( list->vector ( range ( length ( car m2 ) ) ) ) ( Vectorof Index-Type ) ) )
( define result2 ( concave-minima row-indices2 col-indices2 simple-proc2 simple-entry->value ) )
( check-equal?
( for/list : ( Listof ( List Entry-Type Index-Type ) ) ( [ j ( in-vector col-indices2 ) ] )
( define h ( cast ( hash-ref result2 j ) ( HashTable Symbol ( U Index-Type Entry-Type ) ) ) )
( list ( cast ( hash-ref h minima-payload-key ) Entry-Type ) ( cast ( hash-ref h minima-idx-key ) Index-Type ) ) )
' ( ( 25.0 0 ) ( 21.0 0 ) ( 13.0 0 ) ( 10.0 0 ) ( 20.0 0 ) ( 13.0 0 ) ( 19.0 0 ) ( 35.0 0 ) ( 36.0 1 ) ( 29.0 8 ) ( 29.0 8 ) ( 24.0 8 ) ( 23.0 8 ) ( 20.0 8 ) ( 28.0 8 ) ( 25.0 8 ) ( 31.0 8 ) ( 39.0 8 ) ) ) ; checked against SMAWK.py
( define o2 ( make-ocm simple-proc2 simple-entry->value ) )
( check-equal?
( for/list : ( Listof ( List Entry-Type ( U Index-Type No-Value-Type ) ) ) ( [ j ( in-vector col-indices2 ) ] )
( list ( cast ( ocm-min-entry o2 j ) Entry-Type ) ( ocm-min-index o2 j ) ) )
' ( ( 0.0 none ) ( 21.0 0 ) ( 13.0 0 ) ( 10.0 0 ) ( 20.0 0 ) ( 13.0 0 ) ( 19.0 0 ) ( 35.0 0 ) ( 36.0 1 ) ( 29.0 8 ) ( -9.0 9 ) ( -10.0 10 ) ( -11.0 11 ) ( -12.0 12 ) ( -13.0 13 ) ( -14.0 14 ) ( -15.0 15 ) ( -16.0 16 ) ) ) ; checked against SMAWK.py