create free function display functions

src/nlsat/nlsat_pp.h

@@ -0,0 +1,61 @@
+/*++
+Copyright (c) 2025
+
+Module Name:
+
+    nlsat_pp.h
+
+Abstract:
+
+    Pretty-print helpers for NLSAT components as free functions.
+    These forward to existing solver/pmanager display facilities.
+
+--*/
+#pragma once
+
+#include "nlsat/nlsat_solver.h"
+
+namespace nlsat {
+
+inline std::ostream& display(std::ostream& out, pmanager& pm, polynomial_ref const& p, display_var_proc const& proc) {
+    pm.display(out, p, proc);
+    return out;
+}
+
+inline std::ostream& display(std::ostream& out, pmanager& pm, polynomial_ref_vector const& ps, display_var_proc const& proc, char const* delim = "\n") {
+    for (unsigned i = 0; i < ps.size(); ++i) {
+        if (i > 0) out << delim;
+        pm.display(out, ps.get(i), proc);
+    }
+    return out;
+}
+
+inline std::ostream& display(std::ostream& out, solver& s, polynomial_ref const& p) {
+    return display(out, s.pm(), p, s.display_proc());
+}
+
+inline std::ostream& display(std::ostream& out, solver& s, polynomial_ref_vector const& ps, char const* delim = "\n") {
+    return display(out, s.pm(), ps, s.display_proc(), delim);
+}
+
+inline std::ostream& display(std::ostream& out, solver& s, literal l) {
+    return s.display(out, l);
+}
+
+inline std::ostream& display(std::ostream& out, solver& s, unsigned n, literal const* ls) {
+    return s.display(out, n, ls);
+}
+
+inline std::ostream& display(std::ostream& out, solver& s, literal_vector const& ls) {
+    return s.display(out, ls);
+}
+
+inline std::ostream& display(std::ostream& out, solver& s, scoped_literal_vector const& ls) {
+    return s.display(out, ls.size(), ls.data());
+}
+
+inline std::ostream& display_var(std::ostream& out, solver& s, var x) {
+    return s.display(out, x);
+}
+
+} // namespace nlsat