chris edits

3 files changed, 4 insertions, 4 deletions

diff --git a/utils/exp_semiring.h b/utils/exp_semiring.h
index 7572ccf5..26a22071 100644
--- a/utils/exp_semiring.h
+++ b/utils/exp_semiring.h
@@ -56,7 +56,7 @@ const PRPair<P,R> operator*(const PRPair<P,R>& a, const PRPair<P,R>& b) {
 }
 
 template <class P, class R>
-const PRPair<P,R> star(const PRPair<P,R>& x) {
+inline const PRPair<P,R> star(const PRPair<P,R>& x) {
   const P pstar = star(x.p);
   return PRPair<P,R>(pstar, pstar * x.r * pstar);
 }
diff --git a/utils/logval.h b/utils/logval.h
index 7f1e1024..0c9ee982 100644
--- a/utils/logval.h
+++ b/utils/logval.h
@@ -244,7 +244,7 @@ template <class T>
 std::size_t hash_value(const LogVal<T>& x) { return x.hash_impl(); }
 
 template <class T>
-LogVal<T> star(LogVal<T> x) {
+inline LogVal<T> star(LogVal<T> x) {
   if (x.is_0()) return x;
   if (x.v_ >= 0) {
     x.v_ = std::numeric_limits<T>::infinity();
diff --git a/utils/star.h b/utils/star.h
index e7358ffa..21977dc9 100644
--- a/utils/star.h
+++ b/utils/star.h
@@ -4,14 +4,14 @@
 // star(x) computes the infinite sum x^0 + x^1 + x^2 + ...
 
 template <typename T>
-T star(const T& x) {
+inline T star(const T& x) {
   if (!x) return T();
   if (x > T(1)) return std::numeric_limits<T>::infinity();
   if (x < -T(1)) return -std::numeric_limits<T>::infinity();
   return T(1) / (T(1) - x);
 }
 
-bool star(bool x) {
+inline bool star(bool x) {
   return x;
 }