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https://github.com/Z3Prover/z3
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fix subtraction
Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
parent
dd07d21f6c
commit
1e99059a5d
3 changed files with 37 additions and 33 deletions
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@ -171,32 +171,24 @@ namespace dd {
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}
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break;
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case pdd_sub_op:
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if (is_val(p)) {
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if (is_val(p) || (!is_val(q) && level_p < level_q)) {
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// p - (ax + b) = -ax + (p - b)
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push(apply_rec(p, lo(q), op));
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r = make_node(level_q, read(1), hi(q));
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npop = 1;
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push(minus_rec(hi(q)));
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r = make_node(level_q, read(2), read(1));
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}
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else if (is_val(q)) {
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push(apply_rec(lo(p), q, op));
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r = make_node(level_p, read(1), hi(p));
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npop = 1;
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}
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else if (level_p == level_q) {
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push(apply_rec(lo(p), lo(q), op));
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push(apply_rec(hi(p), hi(q), op));
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r = make_node(level_p, read(2), read(1));
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}
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else if (level_p > level_q) {
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// x*hi(p) + (lo(p) - q)
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else if (is_val(q) || (level_p > level_q)) {
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// (ax + b) - k = ax + (b - k)
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push(apply_rec(lo(p), q, op));
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r = make_node(level_p, read(1), hi(p));
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npop = 1;
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}
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else {
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// x*hi(q) + (p - lo(q))
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push(apply_rec(p, lo(q), op));
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r = make_node(level_q, read(1), hi(q));
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npop = 1;
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SASSERT(level_p == level_q);
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// (ax + b) - (cx + d) = (a - c)x + (b - d)
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push(apply_rec(lo(p), lo(q), op));
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push(apply_rec(hi(p), hi(q), op));
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r = make_node(level_p, read(2), read(1));
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}
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break;
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case pdd_mul_op:
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@ -12,6 +12,7 @@
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--*/
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#include "math/grobner/pdd_grobner.h"
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#include "util/uint_set.h"
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namespace dd {
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@ -125,6 +126,7 @@ namespace dd {
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}
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void grobner::saturate() {
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simplify();
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if (is_tuned()) tuned_init();
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try {
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while (!done() && step()) {
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@ -214,7 +216,10 @@ namespace dd {
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equation_vector linear;
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for (equation* e : m_to_simplify) {
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pdd p = e->poly();
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if (p.is_linear() && (!binary || p.is_binary())) {
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if (binary) {
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if (p.is_binary()) linear.push_back(e);
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}
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else if (p.is_linear()) {
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linear.push_back(e);
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}
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}
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@ -798,10 +803,17 @@ namespace dd {
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}
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i = 0;
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uint_set head_vars;
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for (auto* e : m_solved) {
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VERIFY(e->state() == solved);
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VERIFY(e->idx() == i);
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++i;
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pdd p = e->poly();
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if (!p.is_val() && p.hi().is_val()) {
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unsigned v = p.var();
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SASSERT(!head_vars.contains(v));
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head_vars.insert(v);
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}
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}
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// equations in to_simplify have correct indices
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@ -811,11 +823,9 @@ namespace dd {
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for (auto* e : m_to_simplify) {
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VERIFY(e->idx() == i);
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VERIFY(e->state() == to_simplify);
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VERIFY(!e->poly().is_val());
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if (is_tuned()) {
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pdd const& p = e->poly();
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VERIFY(p.is_val() || m_watch[p.var()].contains(e));
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}
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pdd const& p = e->poly();
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VERIFY(!p.is_val());
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VERIFY(!is_tuned() || m_watch[p.var()].contains(e));
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++i;
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}
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// the watch list consists of equations in to_simplify
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@ -28,21 +28,23 @@ namespace dd {
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grobner gb(lim, m);
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gb.add(v1*v2 + v1*v3);
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gb.add(v1 - 1);
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print_eqs(gb.equations());
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gb.display(std::cout);
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gb.saturate();
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print_eqs(gb.equations());
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gb.display(std::cout);
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gb.reset();
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gb.add(v1*v1*v2 + v2*v3);
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gb.add(v1*v1*v2 + v2*v1);
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gb.display(std::cout);
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gb.saturate();
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print_eqs(gb.equations());
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gb.display(std::cout);
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gb.reset();
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gb.add(v1*v1*v2 + v2*v1);
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gb.add(v1*v1*v2 + v2*v1);
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gb.display(std::cout);
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gb.saturate();
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print_eqs(gb.equations());
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gb.display(std::cout);
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gb.reset();
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// stop early on contradiction
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@ -52,7 +54,7 @@ namespace dd {
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gb.add(v3*v1 + v1*v2 + v2*v3 + v1);
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gb.add(v3*v1 + v1*v2 + v2*v3 + v2);
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gb.saturate();
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print_eqs(gb.equations());
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gb.display(std::cout << "early contradiction\n");
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gb.reset();
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// result is v1 = 0, v2 = 0.
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@ -61,15 +63,15 @@ namespace dd {
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gb.add(v3*v1 + v1*v2 + v2*v3 + v1);
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gb.add(v3*v1 + v1*v2 + v2*v3 + v2);
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gb.saturate();
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print_eqs(gb.equations());
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gb.display(std::cout << "v1 = v2 = 0\n");
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gb.reset();
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// everything rewrites to a multiple of v0
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gb.add(v3 - 2*v2);
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gb.add(v2 - 2*v1);
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gb.add(v1 - 2*v0);
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gb.saturate();
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print_eqs(gb.equations());
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gb.saturate();
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gb.display(std::cout << "multiple of v0\n");
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gb.reset();
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//
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