diff --git a/app-proto/src/engine.rs b/app-proto/src/engine.rs
index ca05646..343b96e 100644
--- a/app-proto/src/engine.rs
+++ b/app-proto/src/engine.rs
@@ -500,4 +500,41 @@ mod tests {
             println!("{:<4} │ {}", step, scaled_loss);
         }
     }
+    
+    /* TO DO */
+    // --- new test placed here to avoid merge conflict ---
+    
+    // at the frozen indices, the optimization steps should have exact zeros,
+    // and the realized configuration should match the initial guess
+    #[test]
+    fn frozen_entry_test() {
+        let gram = {
+            let mut gram_to_be = PartialMatrix::new();
+            for j in 0..2 {
+                for k in j..2 {
+                    gram_to_be.push_sym(j, k, if (j, k) == (1, 1) { 1.0 } else { 0.0 });
+                }
+            }
+            gram_to_be
+        };
+        let guess = DMatrix::from_columns(&[
+            point(0.0, 0.0, 2.0),
+            sphere(0.0, 0.0, 0.0, 1.0)
+        ]);
+        let frozen = [(3, 0), (3, 1)];
+        println!();
+        let (config, success, history) = realize_gram(
+            &gram, guess.clone(), &frozen,
+            1.0e-12, 0.5, 0.9, 1.1, 200, 110
+        );
+        assert_eq!(success, true);
+        for base_step in history.base_step.into_iter() {
+            for index in frozen {
+                assert_eq!(base_step[index], 0.0);
+            }
+        }
+        for index in frozen {
+            assert_eq!(config[index], guess[index]);
+        }
+    }
 }
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