chore: rename libs→common_libs, all bot dirs to _garage suffix, fix all path refs

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

common_libs/radar_lock/radar_lock.nim

@@ -0,0 +1,38 @@
+## Standalone radar lock module for Robocode Tank Royale (1v1).
+## No bot-specific imports — takes plain floats, returns radarTurnRate.
+##
+## Tank Royale radar uses standard math convention: 0° = east, CCW positive.
+## Angles are in degrees.
+
+import std/math
+
+const
+  MaxRadarTurn* = 45.0
+  DefaultOvershootDeg* = 5.0
+
+var overShootDeg* = DefaultOvershootDeg
+
+proc init*() =
+  ## Reset module to defaults.
+  ## In your bot's constructor set:
+  ##   adjustRadarForBodyTurn = true
+  ##   adjustRadarForGunTurn  = true
+  overShootDeg = DefaultOvershootDeg
+
+proc normalizeRelative(angle: float64): float64 {.inline.} =
+  result = angle mod 360.0
+  if result >= 180.0: result -= 360.0
+  elif result < -180.0: result += 360.0
+
+proc doRadar*(currentRadarHeading, enemyBearing: float64): float64 =
+  ## Returns radarTurnRate (degrees/tick, positive = clockwise).
+  ##
+  ## currentRadarHeading: current radar direction in degrees (0=east, CCW+).
+  ## enemyBearing:        absolute bearing to enemy in same coordinate system.
+  ##
+  ## Handles angle wrapping, clamps to [-45, +45], adds overshoot sweep.
+  var turn = normalizeRelative(enemyBearing - currentRadarHeading)
+  # Add overshoot in the same direction as the turn to maintain lock
+  if turn < 0.0: turn -= overShootDeg
+  else:          turn += overShootDeg
+  result = turn.clamp(-MaxRadarTurn, MaxRadarTurn)

common_libs/radar_lock/radar_lock.nimble

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+# Package
+version       = "1.0.0"
+author        = "Davide Cappellini"
+description   = "Standalone radar lock module for Robocode Tank Royale"
+license       = "Apache-2.0"
+
+# Dependencies
+requires "nim >= 2.0.0"

common_libs/radar_lock/tests/test_radar_lock.nim

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+import std/unittest
+import std/math
+import ../radar_lock
+
+suite "radar_lock":
+
+  setup:
+    init()
+
+  # Basic lock: radar already on enemy — overshoot pushes it slightly
+  test "radar on enemy — returns overshoot only":
+    let rate = doRadar(90.0, 90.0)
+    check rate == DefaultOvershootDeg
+
+  # Cardinal directions
+  test "lock from 0 degrees":
+    let rate = doRadar(0.0, 0.0)
+    check rate == DefaultOvershootDeg
+
+  test "lock from 90 degrees":
+    let rate = doRadar(90.0, 90.0)
+    check rate == DefaultOvershootDeg
+
+  test "lock from 180 degrees":
+    let rate = doRadar(180.0, 180.0)
+    check rate == DefaultOvershootDeg
+
+  test "lock from 270 degrees":
+    let rate = doRadar(270.0, 270.0)
+    check rate == DefaultOvershootDeg
+
+  # Angle wrapping: radar at 350°, enemy at 10° → shortest path is +20°
+  test "wrapping 350 to 10 — turns right 20 + overshoot":
+    let rate = doRadar(350.0, 10.0)
+    check abs(rate - (20.0 + DefaultOvershootDeg)) < 1e-9
+
+  # Angle wrapping: radar at 10°, enemy at 350° → shortest path is -20°
+  test "wrapping 10 to 350 — turns left 20 + overshoot":
+    let rate = doRadar(10.0, 350.0)
+    check abs(rate - (-20.0 - DefaultOvershootDeg)) < 1e-9
+
+  # Clamping: enemy 100° away → raw turn+overshoot > 45°, must clamp
+  test "clamp positive — large gap":
+    let rate = doRadar(0.0, 100.0)
+    check rate == 45.0
+
+  test "clamp negative — large gap":
+    let rate = doRadar(100.0, 0.0)
+    check rate == -45.0
+
+  # Overshoot direction: turn right → positive overshoot
+  test "overshoot direction right":
+    let rate = doRadar(0.0, 30.0)  # needs +30°, overshoot adds +5°
+    check abs(rate - 35.0) < 1e-9
+
+  # Overshoot direction: turn left → negative overshoot
+  test "overshoot direction left":
+    let rate = doRadar(30.0, 0.0)  # needs -30°, overshoot adds -5°
+    check abs(rate - (-35.0)) < 1e-9
+
+  # Output never exceeds ±45
+  test "output bounded above":
+    let rate = doRadar(0.0, 179.0)
+    check rate <= 45.0
+
+  test "output bounded below":
+    let rate = doRadar(179.0, 0.0)
+    check rate >= -45.0
+
+  # init() resets overShootDeg
+  test "init resets overshoot":
+    overShootDeg = 20.0
+    init()
+    check overShootDeg == DefaultOvershootDeg