diff --git a/include/cglm/call/vec2.h b/include/cglm/call/vec2.h
index d4d3396..6e8101e 100644
--- a/include/cglm/call/vec2.h
+++ b/include/cglm/call/vec2.h
@@ -149,6 +149,18 @@ CGLM_EXPORT
 void
 glmc_vec2_lerp(vec2 from, vec2 to, float t, vec2 dest);
 
+CGLM_EXPORT
+void
+glmc_vec2_complex_mul(vec2 a, vec2 b, vec2 dest);
+
+CGLM_EXPORT
+void
+glmc_vec2_complex_div(vec2 a, vec2 b, vec2 dest);
+
+CGLM_EXPORT
+void
+glmc_vec2_complex_conjugate(vec2 a, vec2 dest);
+
 #ifdef __cplusplus
 }
 #endif
diff --git a/include/cglm/struct/vec2-ext.h b/include/cglm/struct/vec2-ext.h
index d77debe..5d6682d 100644
--- a/include/cglm/struct/vec2-ext.h
+++ b/include/cglm/struct/vec2-ext.h
@@ -195,4 +195,45 @@ glms_vec2_sqrt(vec2s v) {
   return r;
 }
 
+/*!
+ * @brief treat vectors as complex numbers and multiply them as such.
+ *
+ * @param[in]  a    left number
+ * @param[in]  b    right number
+ * @param[out] dest destination number
+ */
+CGLM_INLINE
+vec2s
+glms_vec2_complex_mul(vec2s a, vec2s b, vec2s dest) {
+  glm_vec2_complex_mul(a.raw, b.raw, dest.raw);
+  return dest;
+}
+
+/*!
+ * @brief treat vectors as complex numbers and divide them as such.
+ *
+ * @param[in]  a    left number (numerator)
+ * @param[in]  b    right number (denominator)
+ * @param[out] dest destination number
+ */
+CGLM_INLINE
+vec2s
+glms_vec2_complex_div(vec2s a, vec2s b, vec2s dest) {
+  glm_vec2_complex_div(a.raw, b.raw, dest.raw);
+  return dest;
+}
+
+/*!
+ * @brief treat the vector as a complex number and conjugate it as such.
+ *
+ * @param[in]  a    the number
+ * @param[out] dest destination number
+ */
+CGLM_INLINE
+vec2s
+glms_vec2_complex_conjugate(vec2s a, vec2s dest) {
+  glm_vec2_complex_conjugate(a.raw, dest.raw);
+  return dest;
+}
+
 #endif /* cglms_vec2s_ext_h */