diff --git a/cpp/scheme/scheme_content.cc b/cpp/scheme/scheme_content.cc
index 9802bf8e..605c5231 100644
--- a/cpp/scheme/scheme_content.cc
+++ b/cpp/scheme/scheme_content.cc
@@ -16,6 +16,8 @@
 
 #include "cpp/scheme/scheme_content.h"
 
+#include <cmath>
+
 #include "cpp/cam/hct.h"
 #include "cpp/dislike/dislike.h"
 #include "cpp/dynamiccolor/dynamic_scheme.h"
diff --git a/cpp/scheme/scheme_fidelity.cc b/cpp/scheme/scheme_fidelity.cc
index 65dae036..c12c4871 100644
--- a/cpp/scheme/scheme_fidelity.cc
+++ b/cpp/scheme/scheme_fidelity.cc
@@ -16,6 +16,8 @@
 
 #include "cpp/scheme/scheme_fidelity.h"
 
+#include <cmath>
+
 #include "cpp/cam/hct.h"
 #include "cpp/dislike/dislike.h"
 #include "cpp/dynamiccolor/dynamic_scheme.h"
diff --git a/cpp/temperature/temperature_cache.h b/cpp/temperature/temperature_cache.h
index 17e7c171..8f62811a 100644
--- a/cpp/temperature/temperature_cache.h
+++ b/cpp/temperature/temperature_cache.h
@@ -19,6 +19,7 @@
 
 #include <map>
 #include <vector>
+#include <optional>
 
 #include "cpp/cam/hct.h"