diff --git a/git-compat-util.h b/git-compat-util.h
index d6d269f..9c23622 100644
--- a/git-compat-util.h
+++ b/git-compat-util.h
@@ -31,6 +31,9 @@
 #define maximum_signed_value_of_type(a) \
     (INTMAX_MAX >> (bitsizeof(intmax_t) - bitsizeof(a)))
 
+#define maximum_unsigned_value_of_type(a) \
+    (UINTMAX_MAX >> (bitsizeof(uintmax_t) - bitsizeof(a)))
+
 /*
  * Signed integer overflow is undefined in C, so here's a helper macro
  * to detect if the sum of two integers will overflow.
@@ -40,6 +43,9 @@
 #define signed_add_overflows(a, b) \
     ((b) > maximum_signed_value_of_type(a) - (a))
 
+#define unsigned_add_overflows(a, b) \
+    ((b) > maximum_unsigned_value_of_type(a) - (a))
+
 #ifdef __GNUC__
 #define TYPEOF(x) (__typeof__(x))
 #else
diff --git a/patch-delta.c b/patch-delta.c
index d218faa..56e0a5e 100644
--- a/patch-delta.c
+++ b/patch-delta.c
@@ -48,7 +48,7 @@
 			if (cmd & 0x20) cp_size |= (*data++ << 8);
 			if (cmd & 0x40) cp_size |= (*data++ << 16);
 			if (cp_size == 0) cp_size = 0x10000;
-			if (cp_off + cp_size < cp_size ||
+			if (unsigned_add_overflows(cp_off, cp_size) ||
 			    cp_off + cp_size > src_size ||
 			    cp_size > size)
 				break;
diff --git a/strbuf.c b/strbuf.c
index 9b3c445..07e8883 100644
--- a/strbuf.c
+++ b/strbuf.c
@@ -63,7 +63,8 @@
 
 void strbuf_grow(struct strbuf *sb, size_t extra)
 {
-	if (sb->len + extra + 1 <= sb->len)
+	if (unsigned_add_overflows(extra, 1) ||
+	    unsigned_add_overflows(sb->len, extra + 1))
 		die("you want to use way too much memory");
 	if (!sb->alloc)
 		sb->buf = NULL;
@@ -152,7 +153,7 @@
 void strbuf_splice(struct strbuf *sb, size_t pos, size_t len,
 				   const void *data, size_t dlen)
 {
-	if (pos + len < pos)
+	if (unsigned_add_overflows(pos, len))
 		die("you want to use way too much memory");
 	if (pos > sb->len)
 		die("`pos' is too far after the end of the buffer");
diff --git a/wrapper.c b/wrapper.c
index 55b074e..4c147d6 100644
--- a/wrapper.c
+++ b/wrapper.c
@@ -53,7 +53,7 @@
 void *xmallocz(size_t size)
 {
 	void *ret;
-	if (size + 1 < size)
+	if (unsigned_add_overflows(size, 1))
 		die("Data too large to fit into virtual memory space.");
 	ret = xmalloc(size + 1);
 	((char*)ret)[size] = 0;