diff --git a/src/common/engine/palettecontainer.cpp b/src/common/engine/palettecontainer.cpp
index 9648f2528..800dc31c6 100644
--- a/src/common/engine/palettecontainer.cpp
+++ b/src/common/engine/palettecontainer.cpp
@@ -367,7 +367,7 @@ static bool IndexOutOfRange(const int start1, const int end1, const int start2,
 //
 //----------------------------------------------------------------------------
 
-bool FRemapTable::operator==(const FRemapTable& o)
+bool FRemapTable::operator==(const FRemapTable& o) const
 {
 	// Two translations are identical when they have the same amount of colors
 	// and the palette values for both are identical.
diff --git a/src/common/engine/palettecontainer.h b/src/common/engine/palettecontainer.h
index e1d0befd3..a220873a6 100644
--- a/src/common/engine/palettecontainer.h
+++ b/src/common/engine/palettecontainer.h
@@ -19,7 +19,7 @@ struct FRemapTable
 	FRemapTable(const FRemapTable& o) = default;
 	FRemapTable& operator=(const FRemapTable& o) = default;
 
-	bool operator==(const FRemapTable& o);
+	bool operator==(const FRemapTable& o) const;
 	void MakeIdentity();
 	bool IsIdentity() const;
 	bool AddIndexRange(int start, int end, int pal1, int pal2);
diff --git a/src/common/utility/vectors.h b/src/common/utility/vectors.h
index 140c310f0..f392f561f 100644
--- a/src/common/utility/vectors.h
+++ b/src/common/utility/vectors.h
@@ -561,7 +561,7 @@ struct TVector3
 	void GetRightUp(TVector3 &right, TVector3 &up)
 	{
 		TVector3 n(X, Y, Z);
-		TVector3 fn(fabs(n.X), fabs(n.Y), fabs(n.Z));
+		TVector3 fn((vec_t)fabs(n.X), (vec_t)fabs(n.Y), (vec_t)fabs(n.Z));
 		int major = 0;
 
 		if (fn[1] > fn[major]) major = 1;
diff --git a/src/console/c_cmds.cpp b/src/console/c_cmds.cpp
index f48dcfa82..6e21cfcc2 100644
--- a/src/console/c_cmds.cpp
+++ b/src/console/c_cmds.cpp
@@ -425,7 +425,7 @@ CCMD (changeskill)
 	if (argv.argc() == 2)
 	{
 		int skill = atoi(argv[1]);
-		if (skill < 0 || skill >= AllSkills.Size())
+		if ((unsigned)skill >= AllSkills.Size())
 		{
 			Printf ("Skill %d is out of range.\n", skill);
 		}