--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Library/Sum_of_Squares/sos_wrapper.ML Sat Jan 08 17:39:51 2011 +0100
@@ -0,0 +1,159 @@
+(* Title: HOL/Library/Sum_of_Squares/sos_wrapper.ML
+ Author: Philipp Meyer, TU Muenchen
+
+Added functionality for sums of squares, e.g. calling a remote prover.
+*)
+
+signature SOS_WRAPPER =
+sig
+ datatype prover_result = Success | Failure | Error
+ val setup: theory -> theory
+ val dest_dir: string Config.T
+ val prover_name: string Config.T
+end
+
+structure SOS_Wrapper: SOS_WRAPPER =
+struct
+
+datatype prover_result = Success | Failure | Error
+
+fun str_of_result Success = "Success"
+ | str_of_result Failure = "Failure"
+ | str_of_result Error = "Error"
+
+
+(*** calling provers ***)
+
+val (dest_dir, setup_dest_dir) = Attrib.config_string "sos_dest_dir" (K "")
+
+fun filename dir name =
+ let
+ val probfile = Path.basic (name ^ serial_string ())
+ val dir_path = Path.explode dir
+ in
+ if dir = "" then
+ File.tmp_path probfile
+ else if File.exists dir_path then
+ Path.append dir_path probfile
+ else error ("No such directory: " ^ dir)
+ end
+
+fun run_solver ctxt name cmd find_failure input =
+ let
+ val _ = warning ("Calling solver: " ^ name)
+
+ (* create input file *)
+ val dir = Config.get ctxt dest_dir
+ val input_file = filename dir "sos_in"
+ val _ = File.write input_file input
+
+ (* call solver *)
+ val output_file = filename dir "sos_out"
+ val (output, rv) =
+ bash_output
+ (if File.exists cmd then
+ space_implode " "
+ [File.shell_path cmd, File.shell_path input_file, File.shell_path output_file]
+ else error ("Bad executable: " ^ File.platform_path cmd))
+
+ (* read and analyze output *)
+ val (res, res_msg) = find_failure rv
+ val result = if File.exists output_file then File.read output_file else ""
+
+ (* remove temporary files *)
+ val _ =
+ if dir = "" then
+ (File.rm input_file; if File.exists output_file then File.rm output_file else ())
+ else ()
+
+ val _ =
+ if Config.get ctxt Sum_of_Squares.trace
+ then writeln ("Solver output:\n" ^ output)
+ else ()
+
+ val _ = warning (str_of_result res ^ ": " ^ res_msg)
+ in
+ (case res of
+ Success => result
+ | Failure => raise Sum_of_Squares.Failure res_msg
+ | Error => error ("Prover failed: " ^ res_msg))
+ end
+
+
+(*** various provers ***)
+
+(* local csdp client *)
+
+fun find_csdp_failure rv =
+ case rv of
+ 0 => (Success, "SDP solved")
+ | 1 => (Failure, "SDP is primal infeasible")
+ | 2 => (Failure, "SDP is dual infeasible")
+ | 3 => (Success, "SDP solved with reduced accuracy")
+ | 4 => (Failure, "Maximum iterations reached")
+ | 5 => (Failure, "Stuck at edge of primal feasibility")
+ | 6 => (Failure, "Stuck at edge of dual infeasibility")
+ | 7 => (Failure, "Lack of progress")
+ | 8 => (Failure, "X, Z, or O was singular")
+ | 9 => (Failure, "Detected NaN or Inf values")
+ | _ => (Error, "return code is " ^ string_of_int rv)
+
+val csdp = ("$CSDP_EXE", find_csdp_failure)
+
+
+(* remote neos server *)
+
+fun find_neos_failure rv =
+ case rv of
+ 20 => (Error, "error submitting job")
+ | 21 => (Error, "interrupt")
+ | _ => find_csdp_failure rv
+
+val neos_csdp = ("$ISABELLE_SUM_OF_SQUARES/neos_csdp_client", find_neos_failure)
+
+
+(* named provers *)
+
+fun prover "remote_csdp" = neos_csdp
+ | prover "csdp" = csdp
+ | prover name = error ("Unknown prover: " ^ name)
+
+val (prover_name, setup_prover_name) = Attrib.config_string "sos_prover_name" (K "remote_csdp")
+
+fun call_solver ctxt opt_name =
+ let
+ val name = the_default (Config.get ctxt prover_name) opt_name
+ val (cmd, find_failure) = prover name
+ in run_solver ctxt name (Path.explode cmd) find_failure end
+
+
+(* certificate output *)
+
+fun output_line cert =
+ "To repeat this proof with a certifiate use this command:\n" ^
+ Markup.markup Markup.sendback ("by (sos_cert \"" ^ cert ^ "\")")
+
+val print_cert = warning o output_line o PositivstellensatzTools.pss_tree_to_cert
+
+
+(* method setup *)
+
+fun sos_solver print method = SIMPLE_METHOD' o Sum_of_Squares.sos_tac print method
+
+val setup =
+ setup_dest_dir #>
+ setup_prover_name #>
+ Method.setup @{binding sos}
+ (Scan.lift (Scan.option Parse.xname)
+ >> (fn opt_name => fn ctxt =>
+ sos_solver print_cert
+ (Sum_of_Squares.Prover (call_solver ctxt opt_name)) ctxt))
+ "prove universal problems over the reals using sums of squares" #>
+ Method.setup @{binding sos_cert}
+ (Scan.lift Parse.string
+ >> (fn cert => fn ctxt =>
+ sos_solver ignore
+ (Sum_of_Squares.Certificate (PositivstellensatzTools.cert_to_pss_tree ctxt cert)) ctxt))
+ "prove universal problems over the reals using sums of squares with certificates"
+
+end