fix issues 1-10: add missing API bindings across Go, Julia, TypeScript, OCaml, and Java (#9432)

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Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: NikolajBjorner <3085284+NikolajBjorner@users.noreply.github.com>

src/api/go/relations.go

@@ -0,0 +1,38 @@
+package z3
+
+/*
+#include "z3.h"
+*/
+import "C"
+
+// Special relation constructors
+
+// MkLinearOrder creates a linear (total) order relation over the given sort.
+// The id parameter distinguishes multiple linear orders over the same sort.
+func (c *Context) MkLinearOrder(s *Sort, id uint) *FuncDecl {
+	return newFuncDecl(c, C.Z3_mk_linear_order(c.ptr, s.ptr, C.uint(id)))
+}
+
+// MkPartialOrder creates a partial order relation over the given sort.
+// The id parameter distinguishes multiple partial orders over the same sort.
+func (c *Context) MkPartialOrder(s *Sort, id uint) *FuncDecl {
+	return newFuncDecl(c, C.Z3_mk_partial_order(c.ptr, s.ptr, C.uint(id)))
+}
+
+// MkPiecewiseLinearOrder creates a piecewise linear order relation over the given sort.
+// The id parameter distinguishes multiple piecewise linear orders over the same sort.
+func (c *Context) MkPiecewiseLinearOrder(s *Sort, id uint) *FuncDecl {
+	return newFuncDecl(c, C.Z3_mk_piecewise_linear_order(c.ptr, s.ptr, C.uint(id)))
+}
+
+// MkTreeOrder creates a tree order relation over the given sort.
+// The id parameter distinguishes multiple tree orders over the same sort.
+func (c *Context) MkTreeOrder(s *Sort, id uint) *FuncDecl {
+	return newFuncDecl(c, C.Z3_mk_tree_order(c.ptr, s.ptr, C.uint(id)))
+}
+
+// MkTransitiveClosure creates the transitive closure of a binary relation.
+// The resulting relation is recursive.
+func (c *Context) MkTransitiveClosure(f *FuncDecl) *FuncDecl {
+	return newFuncDecl(c, C.Z3_mk_transitive_closure(c.ptr, f.ptr))
+}