Files
mercury/tests/hard_coded/lp.m
Julien Fischer 3dd02876a5 Delete the MLDS->IL backend.
compiler/mlds_to_il.m:
compiler/mlds_to_ilasm.m:
compiler/mlds_to_managed.m:
compiler/il_peephole.m:
compiler/ilasm.m:
compiler/ilds.m:
    Delete the modules making up the MLDS->IL code generator.

compiler/globals.m:
compiler/prog_data.m:
    Delete IL as a target and foreign language.

compiler/prog_io_pragma.m:
    Delete the max_stack_size/1 foreign proc attribute.  This was only
    ever required by the IL backend.

compiler/options.m
    Delete options used for the IL backend.

compiler/write_deps_file.m:
    Don't generate mmake targets for .il files etc.

compiler/*.m:
    Conform to the above changes.

compiler/notes/compiler_design.html
compiler/notes/work_in_progress.html
    Conform to the above changes.

library/*.m:
    Delete IL foreign_proc and foreign_export pragmas.

README.DotNet:
    Delete this file.

browser/Mmakefile:
compiler/Mmakefile:
deep_profiler/Mmakefile:
mdbcomp/Mmakefile:
mfilterjavac/Mmakefile:
profiler/Mmakefile:
runtime/Mmakefile:
slice/Mmakefile:
    Conform the above changes.

configure.ac:
    Don't check that IL is a supported foreign language when performing the
    up-to-date check.

    Delete the '--enable-dotnet-grades' option.

scripts/Mmake.vars.in:
    Delete variables used for the IL backend (and in on case by the Aditi
    backend).

scripts/Mercury.config.bootstrap.in:
scripts/Mercury.config.in:
scripts/Mmake.rules:
scripts/canonical_grade.sh-subr:
tools/bootcheck:
    Delete stuff related to the 'il' and 'ilc' grades.

doc/reference_manual.texi:
     Delete the documentation of the 'max_stack_size' option.

doc/user_guide.texi:
     Delete stuff related to the IL backend.

tests/hard_coded/csharp_test.{m,exp}:
tests/invalid/foreign_type_missing.{m,err_exp}:
tests/valid/csharp_hello.m:
	Delete these tests: they are no longer relevant.

tests/hard_coded/equality_pred_which_requires_boxing.m:
tests/hard_coded/foreign_import_module.m:
tests/hard_coded/foreign_import_module_2.m:
tests/hard_coded/foreign_type.m:
tests/hard_coded/foreign_type2.m:
tests/hard_coded/foreign_type3.m:
tests/hard_coded/intermod_foreign_type2.m:
tests/hard_coded/lp.m:
tests/hard_coded/user_compare.m:
tests/invalid/foreign_type_2.m:
tests/invalid/foreign_type_missing.{m,err_exp}:
tests/invalid/foreign_type_visibility.m:
tests/invalid/illtyped_compare.{m,err_exp}:
tests/submodules/external_unification_pred.m
tests/valid/big_foreign_type.m
tests/valid/solver_type_bug.m
tests/valid_seq/foreign_type_spec.m
tests/valid_seq/intermod_impure2.m
    Delete IL foreign_procs where necessary.

tests/hard_coded/Mmakefile
tests/invalid/Mercury.options
tests/invalid/Mmakefile
tests/submodules/Mmakefile
tests/valid/Mercury.options
tests/valid/Mmake.valid.common
tests/valid/Mmakefile
tests/valid_seq/Mmakefile
tests/valid_seq/Mercury.options
    Conform to the above changes.
2015-09-21 11:34:46 +10:00

457 lines
14 KiB
Mathematica

%---------------------------------------------------------------------------%
% vim: ts=4 sw=4 et ft=mercury
%---------------------------------------------------------------------------%
:- module lp.
:- interface.
:- import_module float.
:- import_module io.
:- import_module list.
:- import_module map.
:- import_module pair.
:- import_module term.
:- import_module varset.
:- type coeff == pair(var, float).
:- type equation
---> eqn(list(coeff), operator, float).
:- type operator
---> (=<)
; (=)
; (>=).
:- type equations == list(equation).
:- type objective == list(coeff).
:- type direction
---> max
; min.
:- type lp__result
---> unsatisfiable
; satisfiable(float, map(var, float)).
%---------------------------------------------------------------------------%
:- pred lp_solve(equations, direction, objective, varset, lp__result,
io__state, io__state).
:- mode lp_solve(in, in, in, in, out, di, uo) is cc_multi.
%---------------------------------------------------------------------------%
:- implementation.
:- import_module array.
:- import_module bool.
:- import_module int.
:- import_module maybe.
:- import_module require.
:- import_module set.
:- import_module solutions.
lp_solve(Equations, Dir, Objective, Varset0, Result, IO0, IO) :-
form_tableau(Equations, Dir, Objective, Varset0,
VarNumbers, N, M, Tableau0),
show_tableau(N, M, Tableau0, IO0, IO1),
simplex(N, M, Tableau0, Tableau, Resolved, IO1, IO2),
show_tableau(N, M, Tableau, IO2, IO),
(
Resolved = yes,
index(Tableau, N, M, 0, M, ObjVal),
GetObjVar = (pred(Var::out) is nondet :-
list__member(Coeff, Objective),
Coeff = Var - _
),
solutions(GetObjVar, ObjVars),
map__init(ObjVarVals0),
list__foldl(objvarval(Tableau, VarNumbers, N, M), ObjVars,
ObjVarVals0, ObjVarVals),
Result = satisfiable(ObjVal, ObjVarVals)
;
Resolved = no,
Result = unsatisfiable
).
:- pred form_tableau(equations, direction, objective, varset,
map(var, int), int, int, tableau).
:- mode form_tableau(in, in, in, in, out, out, out, out) is det.
form_tableau(Equations, Dir, Objective, Varset0,
VarNumbers, NumNormEqns1, NumVars1, Tableau) :-
N = NumNormEqns1,
M = NumVars1,
normalize_equations(Equations, [], NormalEquations0, Varset0, _Varset),
list__map(simplify, NormalEquations0, NormalEquations1),
list__reverse(NormalEquations1, NormalEquations),
list__length(NormalEquations, NumNormEqns),
collect_vars(NormalEquations, Objective, Vars),
set__to_sorted_list(Vars, VarList),
list__length(VarList, NumVars),
NumVars1 = NumVars,
NumNormEqns1 = NumNormEqns,
init_tableau(NumNormEqns1, NumVars1, Tableau0),
map__init(VarNumbers0),
number_vars(VarList, 0, VarNumbers0, VarNumbers),
(
Dir = max,
Neg = (pred(Pair0::in, Pair::out) is det :-
Pair0 = V - X0,
X1 = -X0,
Pair = V - (X1)
),
list__map(Neg, Objective, NegObjective)
;
Dir = min,
NegObjective = Objective
),
insert_coeffs(NegObjective, 0, VarNumbers, N, M, Tableau0, Tableau1),
insert_equations(NormalEquations, 1, NumVars1, VarNumbers,
N, M, Tableau1, Tableau).
:- pred normalize_equations(equations, equations, equations, varset, varset).
:- mode normalize_equations(in, in, out, in, out) is det.
normalize_equations([], NormalEquations, NormalEquations, Varset, Varset).
normalize_equations([Eqn0 | Eqns], NEqns0, NEqns, Varset0, Varset) :-
Eqn0 = eqn(Coeffs0, Op0, Const0),
(
Op0 = (=),
Varset1 = Varset0,
NEqns1 = [Eqn0 | NEqns0]
;
Op0 = (=<),
varset__new_var(Var, Varset0, Varset1),
Eqn1 = eqn([Var - 1.0 | Coeffs0], (=), Const0),
NEqns1 = [Eqn1 | NEqns0]
;
Op0 = (>=),
varset__new_var(Var, Varset0, Varset1),
Eqn1 = eqn([Var - (-1.0) | Coeffs0], (=), Const0),
NEqns1 = [Eqn1 | NEqns0]
),
normalize_equations(Eqns, NEqns1, NEqns, Varset1, Varset).
:- pred simplify(equation, equation).
:- mode simplify(in, out) is det.
simplify(eqn(Coeffs0, Op, Const), eqn(Coeffs, Op, Const)) :-
map__init(CoeffMap0),
AddCoeff = (pred(Pair::in, Map0::in, Map::out) is det :-
Pair = Var - Coeff,
( map__search(Map0, Var, Acc0) ->
Acc1 = Acc0
;
Acc1 = 0.0
),
Acc = Acc1 + Coeff,
map__set(Var, Acc, Map0, Map)
),
list__foldl(AddCoeff, Coeffs0, CoeffMap0, CoeffMap),
map__to_assoc_list(CoeffMap, Coeffs).
:- pred collect_vars(equations, objective, set(var)).
:- mode collect_vars(in, in, out) is det.
collect_vars(Eqns, Obj, Vars) :-
GetVar = (pred(Var::out) is nondet :-
(
list__member(Eqn, Eqns),
Eqn = eqn(Coeffs, _, _),
list__member(Pair, Coeffs),
Pair = Var - _
;
list__member(Pair, Obj),
Pair = Var - _
)
),
solutions(GetVar, VarList),
set__list_to_set(VarList, Vars).
:- pred number_vars(list(var), int, map(var, int), map(var, int)).
:- mode number_vars(in, in, in, out) is det.
number_vars([], _, VarNumbers, VarNumbers).
number_vars([Var | Vars], N, VarNumbers0, VarNumbers) :-
map__det_insert(Var, N, VarNumbers0, VarNumbers1),
N1 = N + 1,
number_vars(Vars, N1, VarNumbers1, VarNumbers).
:- pred insert_equations(equations, int, int, map(var, int),
int, int, tableau, tableau).
:- mode insert_equations(in, in, in, in, in, in, in, out) is det.
insert_equations([], _, _, _, _, _, Tableau, Tableau).
insert_equations([Eqn | Eqns], Row, ConstCol, VarNumbers, N, M,
Tableau0, Tableau) :-
Eqn = eqn(Coeffs, _Op, Const),
insert_coeffs(Coeffs, Row, VarNumbers, N, M, Tableau0, Tableau1),
set_index(Tableau1, N, M, Row, ConstCol, Const, Tableau2),
Row1 = Row + 1,
insert_equations(Eqns, Row1, ConstCol, VarNumbers, N, M,
Tableau2, Tableau).
:- pred insert_coeffs(list(coeff), int, map(var, int), int, int,
tableau, tableau).
:- mode insert_coeffs(in, in, in, in, in, in, out) is det.
insert_coeffs([], _Row, _VarNumbers, _N, _M, Tableau, Tableau).
insert_coeffs([Coeff | Coeffs], Row, VarNumbers, N, M, Tableau0, Tableau) :-
Coeff = Var - Const,
map__lookup(VarNumbers, Var, Col),
set_index(Tableau0, N, M, Row, Col, Const, Tableau1),
insert_coeffs(Coeffs, Row, VarNumbers, N, M, Tableau1, Tableau).
:- pred objvarval(tableau, map(var, int), int, int, var,
map(var, float), map(var, float)).
:- mode objvarval(in, in, in, in, in, in, out) is det.
objvarval(Tableau, VarNumbers, N, M, Var, ObjVarVals0, ObjVarVals) :-
map__lookup(VarNumbers, Var, Col),
SelectRow = (pred(VV::out) is nondet :-
between(1, N, Row),
index(Tableau, N, M, Row, Col, V),
V = 1.0,
index(Tableau, N, M, Row, M, VV)
),
solutions(SelectRow, ObjVarValList),
(
ObjVarValList = [ObjVarVal | _]
->
map__set(Var, ObjVarVal, ObjVarVals0, ObjVarVals)
;
error("inconsistent simplex")
).
%---------------------------------------------------------------------------%
:- pred simplex(int, int, tableau, tableau, bool, io__state, io__state).
:- mode simplex(in, in, in, out, out, di, uo) is cc_multi.
simplex(N, M, A0, A, Result, IO0, IO) :-
AllColumns = (pred(Col::out) is nondet :- between(0, M-1, Col)),
MinAgg = (pred(Col::in, Min0::in, Min::out) is det :-
(
Min0 = no,
index(A0, N, M, 0, Col, MinVal),
( MinVal < 0.0 ->
Min = yes(Col - MinVal)
;
Min = no
)
;
Min0 = yes(_ - MinVal0),
index(A0, N, M, 0, Col, CellVal),
( CellVal < MinVal0 ->
Min = yes(Col - CellVal)
;
Min = Min0
)
)
),
unsorted_aggregate(AllColumns, MinAgg, no, MinResult),
(
MinResult = no,
A = A0,
IO = IO0,
Result = yes
;
MinResult = yes(Q - _Val),
AllRows = (pred(Row::out) is nondet :- between(1, N, Row)),
MaxAgg = (pred(Row::in, Max0::in, Max::out) is det :-
(
Max0 = no,
index(A0, N, M, Row, Q, MaxVal),
( MaxVal > 0.0 ->
index(A0, N, M, Row, M, MVal),
CVal = MVal/MaxVal,
Max = yes(Row - CVal)
;
Max = no
)
;
Max0 = yes(_ - MaxVal0),
index(A0, N, M, Row, Q, CellVal),
index(A0, N, M, Row, M, MVal),
(
CellVal > 0.0,
MaxVal1 = MVal/CellVal,
MaxVal1 =< MaxVal0
->
Max = yes(Row - MaxVal1)
;
Max = Max0
)
)
),
unsorted_aggregate(AllRows, MaxAgg, no, MaxResult),
(
MaxResult = no,
A = A0,
IO = IO0,
Result = no
;
MaxResult = yes(P - _),
/*
index(A0, N, M, P, Q, Apq),
string__format("pivot on (%d, %d) = %f\n",
[i(P), i(Q), f(Apq)], Str),
io__write_string(Str, IO0, IO1),
*/
IO1 = IO0,
pivot(P, Q, N, M, A0, A1),
show_tableau(N, M, A1, IO1, IO2),
simplex(N, M, A1, A, Result, IO2, IO)
)
).
%---------------------------------------------------------------------------%
:- type cell
---> cell(int, int).
:- pred pivot(int, int, int, int, tableau, tableau).
:- mode pivot(in, in, in, in, in, out) is cc_multi.
pivot(P, Q, N, M, A0, A) :-
index(A0, N, M, P, Q, Apq),
MostCells = (pred(Cell::out) is nondet :-
between(0, N, J),
J \= P,
between(0, M, K),
K \= Q,
Cell = cell(J, K)
),
ScaleCell = (pred(Cell::in, T0::in, T::out) is det :-
Cell = cell(J, K),
index(T0, N, M, J, K, Ajk),
index(T0, N, M, J, Q, Ajq),
index(T0, N, M, P, K, Apk),
NewAjk = Ajk - Apk * Ajq / Apq,
set_index(T0, N, M, J, K, NewAjk, T)
),
unsorted_aggregate(MostCells, ScaleCell, A0, A1),
QColumn = (pred(Cell::out) is nondet :-
between(0, N, J),
Cell = cell(J, Q)
),
Zero = (pred(Cell::in, T0::in, T::out) is det :-
Cell = cell(J, K),
set_index(T0, N, M, J, K, 0.0, T)
),
aggregate(QColumn, Zero, A1, A2),
PRow = (pred(K::out) is nondet :- between(0, M, K)),
ScaleRow = (pred(K::in, T0::in, T::out) is det :-
index(T0, N, M, P, K, Apk),
NewApk = Apk / Apq,
set_index(T0, N, M, P, K, NewApk, T)
),
aggregate(PRow, ScaleRow, A2, A3),
set_index(A3, N, M, P, Q, 1.0, A).
%---------------------------------------------------------------------------%
:- type tableau == array(float).
:- pred init_tableau(int::in, int::in, tableau::out) is det.
init_tableau(Rows0, Cols0, Tableau) :-
Rows = Rows0 + 1, Cols = Cols0 + 1,
NumCells = Rows*Cols,
array__init(NumCells, 0.0, Tableau).
:- pred index(tableau, int, int, int, int, float).
:- mode index(in, in, in, in, in, out) is det.
index(Tableau, Rows0, Cols0, J, K, R) :-
_Rows = Rows0 + 1, Cols = Cols0 + 1,
Index = J * Cols + K,
array__lookup(Tableau, Index, R).
:- pred set_index(tableau, int, int, int, int, float, tableau).
:- mode set_index(in, in, in, in, in, in, out) is det.
set_index(Tableau0, Rows0, Cols0, J, K, R, Tableau) :-
_Rows = Rows0 + 1, Cols = Cols0 + 1,
Index = J * Cols + K,
mkuniq(Tableau0, Tableau1),
array__set(Index, R, Tableau1, Tableau).
:- pred mkuniq(array(float)::in, array(float)::array_uo) is det.
:- pragma foreign_proc("C",
mkuniq(A::in, B::array_uo),
[will_not_call_mercury, promise_pure],
"
B = A;
").
:- pragma foreign_proc("Java",
mkuniq(A::in, B::array_uo),
[will_not_call_mercury, promise_pure],
"
B = A;
").
:- pragma foreign_proc("C#",
mkuniq(A::in, B::array_uo),
[will_not_call_mercury, promise_pure],
"
B = A;
").
:- pragma foreign_proc("Erlang",
mkuniq(A::in, B::array_uo),
[will_not_call_mercury, promise_pure],
"
B = A
").
%---------------------------------------------------------------------------%
:- import_module string.
:- pred show_tableau(int, int, tableau, io__state, io__state).
:- mode show_tableau(in, in, in, di, uo) is det.
show_tableau(_N, _M, _Tableau) --> [].
/*
show_tableau(N, M, Tableau) -->
{ string__format("Tableau (%d, %d):\n", [i(N), i(M)], Str) },
io__write_string(Str),
unsorted_aggregate(between(0, N), show_row(Tableau, M)).
:- pred show_row(tableau, int, int, io__state, io__state).
:- mode show_row(in, in, in, di, uo) is cc_multi.
show_row(Tableau, M, Row) -->
unsorted_aggregate(between(0, M), show_cell(Tableau, Row)),
io__write_string("\n").
:- pred show_cell(tableau, int, int, io__state, io__state).
:- mode show_cell(in, in, in, di, uo) is cc_multi.
show_cell(Tableau, Row, Col) -->
{ index(Tableau, Row, Col, Val) },
{ string__format("%2.2f\t", [f(Val)], Str) },
io__write_string(Str).
*/
%---------------------------------------------------------------------------%
:- pred between(int, int, int).
:- mode between(in, in, out) is nondet.
between(Min, Max, I) :-
Min =< Max,
(
I = Min
;
Min1 = Min + 1,
between(Min1, Max, I)
).
%---------------------------------------------------------------------------%