Module: ppl/ppl Branch: floating_point Commit: 7d2306abb07146aadaeb9a2fc6468550a4212b47 URL: http://www.cs.unipr.it/git/gitweb.cgi?p=ppl/ppl.git;a=commit;h=7d2306abb0714...

Author: Roberto Amadini r.amadini@virgilio.it Date: Fri Oct 2 18:56:19 2009 +0200

Implemented a test on polyhedra abstract domain with linearization of floating point expressions.

---

tests/Floating_Point_Expression/digitalfilters1.cc | 110 +++++++++++++++++++- 1 files changed, 105 insertions(+), 5 deletions(-)

diff --git a/tests/Floating_Point_Expression/digitalfilters1.cc b/tests/Floating_Point_Expression/digitalfilters1.cc index bc77d19..636bea9 100644 --- a/tests/Floating_Point_Expression/digitalfilters1.cc +++ b/tests/Floating_Point_Expression/digitalfilters1.cc @@ -326,10 +326,11 @@ test05() { // Y = 0; con_y.linearize(abstract_store, lf_abstract_store, lk); oc.affine_image(Y, lk); - FP_Interval threesold(-144); - threesold.join_assign(144);

- for(unsigned int n = 0; !tmp.contains(threesold); ++n) { + FP_Interval threshold(-144); + threshold.join_assign(144); + + for(unsigned int n = 0; !tmp.contains(threshold); ++n) {

nout << "*** n = " << n << " ***" << endl; oc_begin = oc; @@ -390,8 +391,106 @@ test05() { tmp = box.get_interval(Y); }

- oc.refine_fp_interval_abstract_store(abstract_store); - tmp = abstract_store.get_interval(Y); + nout << "*** Y in " << tmp << " ***" << endl; + return tmp.is_bounded(); +} + +// tests rate limiter using polyhedra abstract domain and +// linearization of floating point expressions. +bool +test06() { + Variable X(0); //input + Variable D(1); //input + Variable Y(2); //output + Variable S(3); //last output + Variable R(4); //actual rate + FP_Interval_Abstract_Store abstract_store(5); + FP_Linear_Form_Abstract_Store lf_abstract_store; + NNC_Polyhedron ph(abstract_store); + FP_Interval tmp(0); + NNC_Polyhedron ph_begin; + Con_FP_Expression con_y(0, 0); + FP_Linear_Form lx; + FP_Linear_Form ly; + FP_Linear_Form lr; + FP_Linear_Form lk; + + // Y = 0; + con_y.linearize(abstract_store, lf_abstract_store, lk); + ph.affine_image(Y, lk, abstract_store); + + //FIXME: Can the threshold be more precise than [-144, 144]? + FP_Interval threshold(-144); + threshold.join_assign(144); + + for(unsigned int n = 0; !tmp.contains(threshold); ++n) { + + nout << "*** n = " << n << " ***" << endl; + ph_begin = ph; + + //X = [-128, 128]; D = [0, 16]; S = Y; R = X - S; Y = X; + Con_FP_Expression con_x(-128, 128); + con_x.linearize(abstract_store, lf_abstract_store, lk); + ph.affine_image(X, lk, abstract_store); + + Con_FP_Expression con_d(0, 16); + con_d.linearize(abstract_store, lf_abstract_store, lk); + ph.affine_image(D, lk, abstract_store); + + Var_FP_Expression var_y(2); + abstract_store = Box<FP_Interval>(ph); + var_y.linearize(abstract_store, lf_abstract_store, ly); + ph.affine_image(S, ly, abstract_store); + + Var_FP_Expression* px = new Var_FP_Expression(0); + Var_FP_Expression* ps = new Var_FP_Expression(3); + Dif_FP_Expression x_dif_s(px, ps); + abstract_store = Box<FP_Interval>(ph); + x_dif_s.linearize(abstract_store, lf_abstract_store, lr); + ph.affine_image(R, lr, abstract_store); + + Var_FP_Expression var_x(0); + abstract_store = Box<FP_Interval>(ph); + var_x.linearize(abstract_store, lf_abstract_store, lx); + ph.affine_image(Y, lx, abstract_store); + + //if (R <= -D) Y = S - D; + NNC_Polyhedron ph_then(ph); + FP_Interval_Abstract_Store as_then(abstract_store); + ph_then.refine_with_linear_form_inequality(lr, -lk, as_then); + Var_FP_Expression* pd = new Var_FP_Expression(1); + Var_FP_Expression* ps2 = new Var_FP_Expression(3); + Dif_FP_Expression s_dif_d(ps2, pd); + s_dif_d.linearize(abstract_store, lf_abstract_store, ly); + ph_then.affine_image(Y, ly, abstract_store); + + ph.refine_with_linear_form_inequality(-lk, lr, abstract_store); + + ph.upper_bound_assign(ph_then); + abstract_store.upper_bound_assign(as_then); + print_constraints(Box<FP_Interval>(ph) , + "*** if (R <= -D) Y = S - D; ***"); + + //if (R >= D) Y = S + D; + ph_then = ph; + as_then = abstract_store; + ph_then.refine_with_linear_form_inequality(lk, lr, as_then); + + Var_FP_Expression* pd1 = new Var_FP_Expression(1); + Var_FP_Expression* ps3 = new Var_FP_Expression(3); + Sum_FP_Expression s_sum_d(ps3, pd1); + s_sum_d.linearize(abstract_store, lf_abstract_store, ly); + ph_then.affine_image(Y, ly, as_then); + + ph.refine_with_linear_form_inequality(lr, lk, abstract_store); + + ph.upper_bound_assign(ph_then); + Box<FP_Interval> box(ph); + abstract_store.upper_bound_assign(as_then); + print_constraints(box, "*** if (R >= D) Y = S + D; ***"); + tmp = box.get_interval(Y); + } + nout << "*** Y in " << tmp << " ***" << endl; return tmp.is_bounded(); } @@ -404,4 +503,5 @@ BEGIN_MAIN DO_TEST(test03); DO_TEST(test04); DO_TEST(test05); + DO_TEST(test06); END_MAIN