lib: posix: internal: use a more generic INIT mask and inlines

Previously `PTHREAD_MUTEX_MASK_INIT` was used to mark a
`pthread_mutex_t` as initialized.

The same needs to be done for `pthread_cond_t` and likely others.

Rather than copy-pasting that and a number of inlines that
duplicate the same functionality, simply make it more generic.

Signed-off-by: Chris Friedt <cfriedt@meta.com>
diff --git a/lib/posix/posix_internal.h b/lib/posix/posix_internal.h
index c0bfba7..01055b7 100644
--- a/lib/posix/posix_internal.h
+++ b/lib/posix/posix_internal.h
@@ -8,10 +8,10 @@
 #define ZEPHYR_LIB_POSIX_POSIX_INTERNAL_H_
 
 /*
- * Bit used to mark a pthread_mutex_t as initialized. Initialization status is
+ * Bit used to mark a pthread object as initialized. Initialization status is
  * verified (against internal status) in lock / unlock / destroy functions.
  */
-#define PTHREAD_MUTEX_MASK_INIT 0x80000000
+#define PTHREAD_OBJ_MASK_INIT 0x80000000
 
 struct posix_mutex {
 	k_tid_t owner;
@@ -59,19 +59,19 @@
 /* get a previously initialized posix_mutex */
 struct posix_mutex *get_posix_mutex(pthread_mutex_t mut);
 
-static inline bool is_pthread_mutex_initialized(pthread_mutex_t mut)
+static inline bool is_pthread_obj_initialized(uint32_t obj)
 {
-	return (mut & PTHREAD_MUTEX_MASK_INIT) != 0;
+	return (obj & PTHREAD_OBJ_MASK_INIT) != 0;
 }
 
-static inline pthread_mutex_t mark_pthread_mutex_initialized(pthread_mutex_t mut)
+static inline uint32_t mark_pthread_obj_initialized(uint32_t obj)
 {
-	return mut | PTHREAD_MUTEX_MASK_INIT;
+	return obj | PTHREAD_OBJ_MASK_INIT;
 }
 
-static inline pthread_mutex_t mark_pthread_mutex_uninitialized(pthread_mutex_t mut)
+static inline uint32_t mark_pthread_obj_uninitialized(uint32_t obj)
 {
-	return mut & ~PTHREAD_MUTEX_MASK_INIT;
+	return obj & ~PTHREAD_OBJ_MASK_INIT;
 }
 
 #endif
diff --git a/lib/posix/pthread_mutex.c b/lib/posix/pthread_mutex.c
index 29a878f..17abffe 100644
--- a/lib/posix/pthread_mutex.c
+++ b/lib/posix/pthread_mutex.c
@@ -33,7 +33,7 @@
  * perspective of the application). With a linear space, this means that
  * the theoretical pthread_mutex_t range is [0,2147483647].
  */
-BUILD_ASSERT(CONFIG_MAX_PTHREAD_MUTEX_COUNT < PTHREAD_MUTEX_MASK_INIT,
+BUILD_ASSERT(CONFIG_MAX_PTHREAD_MUTEX_COUNT < PTHREAD_OBJ_MASK_INIT,
 	"CONFIG_MAX_PTHREAD_MUTEX_COUNT is too high");
 
 static inline size_t posix_mutex_to_offset(struct posix_mutex *m)
@@ -43,7 +43,7 @@
 
 static inline size_t to_posix_mutex_idx(pthread_mutex_t mut)
 {
-	return mark_pthread_mutex_uninitialized(mut);
+	return mark_pthread_obj_uninitialized(mut);
 }
 
 struct posix_mutex *get_posix_mutex(pthread_mutex_t mu)
@@ -52,7 +52,7 @@
 	size_t bit = to_posix_mutex_idx(mu);
 
 	/* if the provided mutex does not claim to be initialized, its invalid */
-	if (!is_pthread_mutex_initialized(mu)) {
+	if (!is_pthread_obj_initialized(mu)) {
 		return NULL;
 	}
 
@@ -85,7 +85,7 @@
 	}
 
 	/* Record the associated posix_mutex in mu and mark as initialized */
-	*mu = mark_pthread_mutex_initialized(bit);
+	*mu = mark_pthread_obj_initialized(bit);
 
 	/* Initialize the posix_mutex */
 	m = &posix_mutex_pool[bit];