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app.py

@@ -27,10 +27,12 @@ def projectile_calc(v0_mps: float, theta_deg: float, y0_m: float, g: float, weig
     v0x = v0_mps * math.cos(theta_rad)
     v0y = v0_mps * math.sin(theta_rad)
 
+    # Time of flight (positive root)
     disc = v0y**2 + 2.0 * g * y0_m
     t_flight = (v0y + math.sqrt(max(disc, 0.0))) / g
     t_flight = max(t_flight, 0.0)
 
+    # Range, apex height, impact speed
     range_m = v0x * t_flight
     t_apex = max(v0y / g, 0.0)
     y_apex = y0_m + v0y * t_apex - 0.5 * g * t_apex**2
@@ -87,13 +89,10 @@ def llm_one_sentence(structured: Dict[str, Any]) -> str:
             "impact_speed_mps": round(o["impact_speed_mps"], 3),
         }
     }
-    instruction = (
-        "Produce EXACTLY one sentence of this form using only the JSON values:\n"
-        ""If you threw a ball that weighed {weight_kg} kg at v0={v0_mps} m/s, "
-        "θ={theta_deg}°, from y0={y0_m} m under g={g_mps2} m/s², "
-        "it would stay in the air for {time_of_flight_s} s, reach {max_height_m} m, "
-        "travel {range_m} m, and impact at {impact_speed_mps} m/s.""
-    )
+    instruction = dedent("""        Produce EXACTLY one sentence of this form using only the JSON values:
+        "If you threw a ball that weighed {weight_kg} kg at v0={v0_mps} m/s, θ={theta_deg}°, from y0={y0_m} m under g={g_mps2} m/s²,
+        it would stay in the air for {time_of_flight_s} s, reach {max_height_m} m, travel {range_m} m, and impact at {impact_speed_mps} m/s."
+    """)
     user_prompt = f"JSON:\n{json.dumps(payload, indent=2)}\n\nFollow the instruction exactly."
     prompt = f"<|system|>\n{SYSTEM_PROMPT}\n<|user|>\n{instruction}\n\n{user_prompt}\n<|assistant|>"
     out = llm(prompt, max_new_tokens=120, do_sample=False, temperature=0.0, return_full_text=False)