/usr/share/doc/libapron-ocaml-dev/examples/mlexample2.ml is in libapron-ocaml-dev 0.9.10-9build4.
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The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 | (* This file is part of the APRON Library, released under GPL license (use of
PPL). Please read the COPYING file packaged in the distribution. *)
(*
with default setting:
apronppltop -I $MLGMPIDL_INSTALL/lib -I $APRON_INSTALL/lib
#load "gmp.cma";;
#load "apron.cma";;
#load "box.cma";;
#load "oct.cma";;
#load "polka.cma";;
#load "ppl.cma";;
#install_printer Apron.Linexpr1.print;;
#install_printer Apron.Lincons1.print;;
#install_printer Apron.Generator1.print;;
#install_printer Apron.Abstract1.print;;
let environment_print fmt x = Apron.Environment.print fmt x;;
let lincons1_array_print fmt x = Apron.Lincons1.array_print fmt x;;
let generator1_array_print fmt x = Apron.Generator1.array_print fmt x;;
#install_printer Apron.Var.print;;
#install_printer environment_print;;
#install_printer lincons1_array_print;;
#install_printer generator1_array_print;;
*)
open Apron;;
open Mpqf;;
open Format;;
let print_array = Abstract0.print_array;;
let lincons1_array_print fmt x =
Lincons1.array_print fmt x
;;
let generator1_array_print fmt x =
Generator1.array_print fmt x
;;
let manpk = Polka.manager_alloc_strict();;
let manbox = Box.manager_alloc ();;
let manoct = Oct.manager_alloc ();;
let manppl = Ppl.manager_alloc_strict();;
let mangrid = Ppl.manager_alloc_grid ();;
let maneq = Polka.manager_alloc_equalities ();;
let var_x = Var.of_string "x";;
let var_y = Var.of_string "y";;
let var_z = Var.of_string "z";;
let var_w = Var.of_string "w";;
let var_u = Var.of_string "u";;
let var_v = Var.of_string "v";;
let var_a = Var.of_string "a";;
let var_b = Var.of_string "b";;
let ex1 (man:'a Manager.t) : 'a Abstract1.t =
printf "Using Library: %s, version %s@." (Manager.get_library man) (Manager.get_version man);
let env = Environment.make
[|var_x; var_y; var_z; var_w|]
[|var_u; var_v; var_a; var_b|]
in
let env2 = Environment.make [|var_x; var_y; var_z; var_w|] [||]
in
printf "env=%a@.env2=%a@."
(fun x -> Environment.print x) env
(fun x -> Environment.print x) env2
;
(* Creation of abstract value
1/2x+2/3y=1, [1,2]<=z+2w<=4, 0<=u<=5 *)
let tab = Lincons1.array_make env 5 in
let expr = Linexpr1.make env in
Linexpr1.set_array expr
[|
((Coeff.s_of_frac 1 2), var_x);
((Coeff.s_of_frac 2 3), var_y)
|]
(Some (Coeff.s_of_int (1)))
;
let cons = Lincons1.make expr Lincons1.EQ in
Lincons1.array_set tab 0 cons;
let expr = Linexpr1.make env in
Linexpr1.set_array expr
[|
((Coeff.s_of_float (-1.0)), var_z);
((Coeff.s_of_float (-2.0)), var_w)
|]
(Some ((Coeff.s_of_float (4.0))))
;
Lincons1.array_set tab 1 (Lincons1.make expr Lincons1.SUPEQ);
let expr = Linexpr1.make env2 in
Linexpr1.set_array expr
[|
((Coeff.s_of_float 1.0), var_z);
((Coeff.s_of_float 2.0), var_w)
|]
(Some (Coeff.i_of_float (-2.0) (-1.0)))
;
Linexpr1.extend_environment_with expr env;
Lincons1.array_set tab 2 (Lincons1.make expr Lincons1.SUPEQ);
let cons = Lincons1.make (Linexpr1.make env) Lincons1.SUPEQ in
Lincons1.set_array cons
[|
((Coeff.s_of_int 1), var_u)
|]
None
;
Lincons1.array_set tab 3 cons;
let cons = Lincons1.make (Linexpr1.make env) Lincons1.SUPEQ in
Lincons1.set_array cons
[|
((Coeff.s_of_int (-1)), var_u)
|]
(Some ((Coeff.s_of_int 5)))
;
Lincons1.array_set tab 4 cons;
printf "tab = %a@." lincons1_array_print tab;
let abs = Abstract1.of_lincons_array man env tab in
printf "abs=%a@." Abstract1.print abs;
let array = Abstract1.to_generator_array man abs in
printf "gen=%a@." generator1_array_print array;
let array = Abstract1.to_generator_array man abs in
printf "gen=%a@." generator1_array_print array;
(* Extraction (we first extract values for existing constraints, then for
dimensions) *)
let box = Abstract1.to_box man abs in
printf "box=%a@." (print_array Interval.print) box.Abstract1.interval_array;
for i=0 to 4 do
let expr = Lincons1.get_linexpr1 (Lincons1.array_get tab i) in
let box = Abstract1.bound_linexpr man abs expr in
printf "Bound of %a = %a@."
Linexpr1.print expr
Interval.print box;
done;
(* 2. dimensions *)
(* 3. of box *)
let abs2 =
Abstract1.of_box man env
[|var_x; var_y; var_z; var_w; var_u; var_v; var_a; var_b|]
box.Abstract1.interval_array
in
printf "abs2=%a@." Abstract1.print abs2;
(* 4. Tests top and bottom *)
let abs3 = Abstract1.bottom man env in
printf "abs3=%a@.is_bottom(abs3)=%b@."
Abstract1.print abs3
(Abstract1.is_bottom man abs3);
printf "abs=%a@." Abstract1.print abs;
let p2 = Abstract1.expand man abs
var_y [|Var.of_string "y1"; Var.of_string "y2"|]
in
printf "p2=expand(abs,y,[y1,y2]))=%a@." Abstract1.print p2;
let p2 = Abstract1.expand man abs
var_u [|Var.of_string "u1"; Var.of_string "u2"|]
in
printf "p2=expand(abs,u,[u1,u2]))=%a@." Abstract1.print p2;
abs
;;
let ex2 (man:'a Manager.t) =
let env = Environment.make
[||]
[|var_x; var_y; var_z|]
in
(* Creation of abstract value
5<=x<=14, 4<=y<=12, z=0 *)
let abs1 = Abstract1.of_box man env [|var_x;var_y;var_z|]
[|
Interval.of_int 5 14;
Interval.of_int 4 12;
Interval.of_int 0 0;
|]
in
let abs2 = Abstract1.of_box man env [|var_x;var_y;var_z|]
[|
Interval.of_int 3 12;
Interval.of_int 5 13;
Interval.of_int 1 1;
|]
in
let abs3 = Abstract1.join man abs1 abs2 in
abs3
;;
let abs1 = ex1 manpk;;
let abs2 = ex1 manppl;;
let abs3 = ex1 manoct;;
let abs4 = ex1 manbox;;
let abs5 = ex1 maneq;;
let abs6 = ex1 mangrid;;
|