diff --git a/src/cborencoder.c b/src/cborencoder.c
index a51f4451..1bf31c8c 100644
--- a/src/cborencoder.c
+++ b/src/cborencoder.c
@@ -31,6 +31,7 @@
 #ifndef __STDC_LIMIT_MACROS
 #  define __STDC_LIMIT_MACROS 1
 #endif
+#define __STDC_WANT_IEC_60559_TYPES_EXT__
 
 #include "cbor.h"
 #include "cborinternal_p.h"
diff --git a/src/cborencoder_close_container_checked.c b/src/cborencoder_close_container_checked.c
index 5661e4d5..b88f06cf 100644
--- a/src/cborencoder_close_container_checked.c
+++ b/src/cborencoder_close_container_checked.c
@@ -27,6 +27,7 @@
 #ifndef __STDC_LIMIT_MACROS
 #  define __STDC_LIMIT_MACROS 1
 #endif
+#define __STDC_WANT_IEC_60559_TYPES_EXT__
 
 #include "cbor.h"
 
diff --git a/src/cborencoder_float.c b/src/cborencoder_float.c
index 6f168379..d87919e2 100644
--- a/src/cborencoder_float.c
+++ b/src/cborencoder_float.c
@@ -27,6 +27,7 @@
 #ifndef __STDC_LIMIT_MACROS
 #  define __STDC_LIMIT_MACROS 1
 #endif
+#define __STDC_WANT_IEC_60559_TYPES_EXT__
 
 #include "cbor.h"
 
diff --git a/src/cborinternal_p.h b/src/cborinternal_p.h
index 16269e63..19273acd 100644
--- a/src/cborinternal_p.h
+++ b/src/cborinternal_p.h
@@ -25,11 +25,19 @@
 #ifndef CBORINTERNAL_P_H
 #define CBORINTERNAL_P_H
 
+/* Dependent source files (*.c) must define __STDC_WANT_IEC_60559_TYPES_EXT__
+ * before <float.h> is (transitively) first included.
+ */
+#if !defined(__STDC_WANT_IEC_60559_TYPES_EXT__)
+#  error __STDC_WANT_IEC_60559_TYPES_EXT__ not defined
+#endif
+
 #include "compilersupport_p.h"
 
 #ifndef CBOR_NO_FLOATING_POINT
 #  include <float.h>
 #  include <math.h>
+#  include <string.h>
 #else
 #  ifndef CBOR_NO_HALF_FLOAT_TYPE
 #    define CBOR_NO_HALF_FLOAT_TYPE     1
@@ -37,7 +45,26 @@
 #endif
 
 #ifndef CBOR_NO_HALF_FLOAT_TYPE
-#  if defined(__F16C__) || defined(__AVX2__)
+/* Check for FLT16_MANT_DIG using integer comparison. Clang headers incorrectly
+ * define this macro unconditionally when __STDC_WANT_IEC_60559_TYPES_EXT__
+ * is defined (regardless of actual support for _Float16).
+ */
+#  if FLT16_MANT_DIG > 0 || __FLT16_MANT_DIG__ > 0
+static inline unsigned short encode_half(float x)
+{
+    unsigned short h;
+    _Float16 f = (_Float16)x;
+    memcpy(&h, &f, 2);
+    return h;
+}
+
+static inline float decode_half(unsigned short x)
+{
+    _Float16 f;
+    memcpy(&f, &x, 2);
+    return (float)f;
+}
+#  elif defined(__F16C__) || defined(__AVX2__)
 #    include <immintrin.h>
 static inline unsigned short encode_half(float val)
 {
diff --git a/src/cborparser.c b/src/cborparser.c
index 45ae23fb..62cdcaaa 100644
--- a/src/cborparser.c
+++ b/src/cborparser.c
@@ -31,6 +31,7 @@
 #ifndef __STDC_LIMIT_MACROS
 #  define __STDC_LIMIT_MACROS 1
 #endif
+#define __STDC_WANT_IEC_60559_TYPES_EXT__
 
 #include "cbor.h"
 #include "cborinternal_p.h"
diff --git a/src/cborparser_dup_string.c b/src/cborparser_dup_string.c
index c4308cf9..837d9da4 100644
--- a/src/cborparser_dup_string.c
+++ b/src/cborparser_dup_string.c
@@ -31,6 +31,7 @@
 #ifndef __STDC_LIMIT_MACROS
 #  define __STDC_LIMIT_MACROS 1
 #endif
+#define __STDC_WANT_IEC_60559_TYPES_EXT__
 
 #include "cbor.h"
 #include "compilersupport_p.h"
diff --git a/src/cborparser_float.c b/src/cborparser_float.c
index 426cd7d4..268239ee 100644
--- a/src/cborparser_float.c
+++ b/src/cborparser_float.c
@@ -27,6 +27,7 @@
 #ifndef __STDC_LIMIT_MACROS
 #  define __STDC_LIMIT_MACROS 1
 #endif
+#define __STDC_WANT_IEC_60559_TYPES_EXT__
 
 #include "cbor.h"
 
diff --git a/src/cborpretty.c b/src/cborpretty.c
index 763d822f..a07741f7 100644
--- a/src/cborpretty.c
+++ b/src/cborpretty.c
@@ -27,6 +27,7 @@
 #ifndef __STDC_LIMIT_MACROS
 #  define __STDC_LIMIT_MACROS 1
 #endif
+#define __STDC_WANT_IEC_60559_TYPES_EXT__
 
 #include "cbor.h"
 #include "cborinternal_p.h"
diff --git a/src/cbortojson.c b/src/cbortojson.c
index fff9d298..5bcf3640 100644
--- a/src/cbortojson.c
+++ b/src/cbortojson.c
@@ -28,6 +28,7 @@
 #ifndef __STDC_LIMIT_MACROS
 #  define __STDC_LIMIT_MACROS 1
 #endif
+#define __STDC_WANT_IEC_60559_TYPES_EXT__
 
 #include "cbor.h"
 #include "cborjson.h"
diff --git a/src/cborvalidation.c b/src/cborvalidation.c
index f76d25c6..6e13138b 100644
--- a/src/cborvalidation.c
+++ b/src/cborvalidation.c
@@ -27,6 +27,7 @@
 #ifndef __STDC_LIMIT_MACROS
 #  define __STDC_LIMIT_MACROS 1
 #endif
+#define __STDC_WANT_IEC_60559_TYPES_EXT__
 
 #include "cbor.h"
 #include "cborinternal_p.h"
diff --git a/tools/json2cbor/json2cbor.c b/tools/json2cbor/json2cbor.c
index 26e80fc6..090ee158 100644
--- a/tools/json2cbor/json2cbor.c
+++ b/tools/json2cbor/json2cbor.c
@@ -23,6 +23,7 @@
 ****************************************************************************/
 
 #define _GNU_SOURCE
+#define __STDC_WANT_IEC_60559_TYPES_EXT__
 #include "cbor.h"
 #include "cborinternal_p.h"
 #include "compilersupport_p.h"