--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Matrix_LP/matrixlp.ML Sat Mar 17 12:52:40 2012 +0100
@@ -0,0 +1,59 @@
+(* Title: HOL/Matrix/matrixlp.ML
+ Author: Steven Obua
+*)
+
+signature MATRIX_LP =
+sig
+ val matrix_compute : cterm -> thm
+ val matrix_simplify : thm -> thm
+ val prove_bound : string -> int -> thm
+ val float2real : string * string -> Real.real
+end
+
+structure MatrixLP : MATRIX_LP =
+struct
+
+val compute_thms = ComputeHOL.prep_thms @{thms "ComputeHOL.compute_list_case" "ComputeHOL.compute_let"
+ "ComputeHOL.compute_if" "ComputeFloat.arith" "SparseMatrix.sparse_row_matrix_arith_simps"
+ "ComputeHOL.compute_bool" "ComputeHOL.compute_pair"
+ "SparseMatrix.sorted_sp_simps"
+ "ComputeNumeral.natnorm"}; (*"ComputeNumeral.number_norm"*)
+
+val spm_mult_le_dual_prts_no_let_real = @{thm "spm_mult_le_dual_prts_no_let" [where ?'a = real]}
+
+fun lp_dual_estimate_prt lptfile prec =
+ let
+ val cert = cterm_of @{theory}
+ fun var s x = (cert (Var ((s, 0), FloatSparseMatrixBuilder.spmatT)), x)
+ val l = Fspmlp.load lptfile prec false
+ val (y, (A1, A2), (c1, c2), b, (r1, r2)) =
+ let
+ open Fspmlp
+ in
+ (y l |> cert, A l |> pairself cert, c l |> pairself cert, b l |> cert, r12 l |> pairself cert)
+ end
+ in
+ Thm.instantiate ([],
+ [var "A1" A1, var "A2" A2, var "y" y, var "c1" c1, var "c2" c2, var "r1" r1, var "r2" r2, var "b" b])
+ spm_mult_le_dual_prts_no_let_real
+ end
+
+val computer = PCompute.make Compute.SML @{theory} compute_thms []
+
+fun matrix_compute c = hd (PCompute.rewrite computer [c])
+
+fun matrix_simplify th =
+ let
+ val simp_th = matrix_compute (cprop_of th)
+ val th = Thm.strip_shyps (Thm.equal_elim simp_th th)
+ fun removeTrue th = removeTrue (Thm.implies_elim th TrueI) handle THM _ => th
+ in
+ removeTrue th
+ end
+
+val prove_bound = matrix_simplify oo lp_dual_estimate_prt;
+
+val realFromStr = the o Real.fromString;
+fun float2real (x, y) = realFromStr x * Math.pow (2.0, realFromStr y);
+
+end