lab5

Assets/Code/Lab5/Projectile.cs

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+using UnityEngine;
+
+namespace Code.Lab5
+{
+    public class Projectile : MonoBehaviour
+    {
+        private bool _set;
+        private Vector3 _firePos;
+        private Vector3 _direction;
+        private float _speed;
+        private float _timeElapsed;
+
+        private void Update()
+        {
+            if (!_set)
+                return;
+
+            _timeElapsed += Time.deltaTime;
+
+            transform.position = _firePos + _direction * (_speed * _timeElapsed);
+            transform.position += Physics.gravity * (_timeElapsed * _timeElapsed) / 2.0f;
+
+            if (transform.position.y < -1.0f)
+            {
+                Destroy(gameObject);
+            }
+        }
+
+        public void Set(Vector3 firePos, Vector3 direction, float speed)
+        {
+            _firePos = firePos;
+            _direction = direction.normalized;
+            _speed = speed;
+            transform.position = firePos;
+            _set = true;
+            _timeElapsed = 0f;
+        }
+
+        private float GetLandingTime(float height = 0.0f)
+        {
+            var position = transform.position;
+
+            var valueInt = _direction.y * _direction.y * (_speed * _speed);
+            valueInt -= Physics.gravity.y * 2 * (position.y - height);
+
+            if (valueInt < 0)
+                return -1.0f;
+                
+            valueInt = Mathf.Sqrt(valueInt);
+            
+            var valueAdd = -_direction.y * _speed;
+            var valueSub = -_direction.y * _speed;
+            
+            valueAdd = (valueAdd + valueInt) / Physics.gravity.y;
+            valueSub = (valueSub - valueInt) / Physics.gravity.y;
+
+            if (float.IsNaN(valueAdd) && !float.IsNaN(valueSub))
+                return valueSub;
+            if (!float.IsNaN(valueAdd) && float.IsNaN(valueSub))
+                return valueAdd;
+            if (float.IsNaN(valueAdd) && float.IsNaN(valueSub))
+                return -1.0f;
+
+            var time = Mathf.Max(valueAdd, valueSub);
+            return time;
+        }
+        
+        public Vector3 GetLandingPos(float height = 0.0f)
+        {
+            var landingPos = Vector3.zero;
+            var time = GetLandingTime(height);
+            
+            if (time < 0.0f)
+                return landingPos;
+            
+            landingPos.y = height;
+            landingPos.x = _firePos.x + _direction.x * _speed * time;
+            landingPos.z = _firePos.z + _direction.z * _speed * time;
+            
+            return landingPos;
+        }
+        
+        public static Vector3 GetFireDirection(Vector3 startPos, Vector3 endPos, float speed, bool useHighTrajectory = false)
+        {
+            var direction = Vector3.zero;
+            var delta = endPos - startPos;
+
+            var a = Vector3.Dot(Physics.gravity, Physics.gravity);
+            var b = -4 * (Vector3.Dot(Physics.gravity, delta) + speed * speed);
+            var c = 4 * Vector3.Dot(delta, delta);
+
+            var discriminant = b * b - 4 * a * c;
+            if (discriminant < 0)
+                return direction;
+
+            var sqrtDiscriminant = Mathf.Sqrt(discriminant);
+            
+            var time0 = Mathf.Sqrt((-b + sqrtDiscriminant) / (2 * a));
+            var time1 = Mathf.Sqrt((-b - sqrtDiscriminant) / (2 * a));
+
+            float time;
+            
+            switch (time0)
+            {
+                case < 0.0f when time1 < 0.0f:
+                    return direction;
+                case < 0.0f:
+                    time = time1;
+                    break;
+                default:
+                {
+                    if (time1 < 0.0f)
+                        time = time0;
+                    else
+                    {
+                        time = useHighTrajectory ? Mathf.Max(time0, time1) : Mathf.Min(time0, time1);
+                    }
+
+                    break;
+                }
+            }
+
+            direction = 2 * delta - Physics.gravity * (time * time);
+            direction /= 2 * speed * time;
+            
+            return direction.normalized;
+        }
+        
+        public static bool IsTargetReachable(Vector3 startPos, Vector3 endPos, float speed)
+        {
+            var delta = endPos - startPos;
+            
+            var a = Vector3.Dot(Physics.gravity, Physics.gravity);
+            var b = -4 * (Vector3.Dot(Physics.gravity, delta) + speed * speed);
+            var c = 4 * Vector3.Dot(delta, delta);
+            
+            return b * b - 4 * a * c >= 0;
+        }
+        
+        public static float GetMinimumSpeed(Vector3 startPos, Vector3 endPos)
+        {
+            var delta = endPos - startPos;
+
+            var gravityMagnitude = Physics.gravity.magnitude;
+            var deltaMagnitude = delta.magnitude;
+            var deltaY = delta.y;
+
+            var minSpeedSqr = gravityMagnitude * (deltaY + Mathf.Sqrt(deltaY * deltaY + deltaMagnitude * deltaMagnitude));
+            
+            return Mathf.Sqrt(minSpeedSqr);
+        }
+    }
+}

Assets/Code/Lab5/Projectile.cs.meta

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+fileFormatVersion: 2
+guid: 061a9f303af54c5c976f1aeaa6581a23
+timeCreated: 1771338965

Assets/Code/Lab5/ProjectileLauncher.cs

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+using UnityEngine;
+
+namespace Code.Lab5
+{
+    public class ProjectileLauncher : MonoBehaviour
+    {
+        public GameObject projectilePrefab;
+        public Transform target;
+        public float launchSpeed = 20f;
+        public bool useHighTrajectory;
+        
+        public float randomRadius = 10f;
+        public Vector2 centerOffset = Vector2.zero;
+        public GameObject targetCirclePrefab;
+        public bool showTargetCircle = true;
+        public float circleLifetime = 2f;
+
+        private void Start()
+        {
+            if (target == null)
+            {
+                CreateNewRandomTarget();
+            }
+        }
+
+        private void Update()
+        {
+            if (Input.GetKeyDown(KeyCode.Space))
+            {
+                LaunchProjectile();
+            }
+            
+            if (Input.GetKeyDown(KeyCode.R))
+            {
+                CreateNewRandomTarget();
+            }
+        }
+
+        private void CreateNewRandomTarget()
+        {
+            var center = new Vector3(
+                transform.position.x + centerOffset.x,
+                0.1f,
+                transform.position.z + centerOffset.y
+            );
+            
+            var randomCircle = Random.insideUnitCircle * randomRadius;
+            
+            var randomPosition = new Vector3(
+                center.x + randomCircle.x,
+                0.1f,
+                center.z + randomCircle.y
+            );
+            
+            if (target)
+            {
+                target.position = randomPosition;
+            }
+            else
+            {
+                var newTarget = new GameObject("RandomTarget")
+                {
+                    transform =
+                    {
+                        position = randomPosition
+                    }
+                };
+                target = newTarget.transform;
+            }
+            
+            if (showTargetCircle && targetCirclePrefab)
+            {
+                SpawnTargetCircle(randomPosition);
+            }
+        }
+
+        private void SpawnTargetCircle(Vector3 position)
+        {
+            var circle = Instantiate(targetCirclePrefab, position, Quaternion.identity);
+            var circlePos = circle.transform.position;
+            circlePos.y = 0.05f;
+            circle.transform.position = circlePos;
+            
+            if (circleLifetime > 0)
+            {
+                Destroy(circle, circleLifetime);
+            }
+        }
+
+        private void LaunchProjectile()
+        {
+            if (!target) return;
+
+            var direction = Projectile.GetFireDirection(
+                transform.position, 
+                target.position, 
+                launchSpeed, 
+                useHighTrajectory
+            );
+
+            if (direction == Vector3.zero) return;
+            
+            var projObj = Instantiate(projectilePrefab, transform.position, Quaternion.identity);
+            var projectile = projObj.GetComponent<Projectile>();
+            projectile.Set(transform.position, direction, launchSpeed);
+                
+            CreateNewRandomTarget();
+        }
+
+        public void SetTargetAtPosition(Vector3 position)
+        {
+            var targetPos = position;
+            targetPos.y = 0.1f;
+            
+            if (target != null)
+            {
+                target.position = targetPos;
+            }
+            else
+            {
+                var newTarget = new GameObject("ManualTarget")
+                {
+                    transform =
+                    {
+                        position = targetPos
+                    }
+                };
+                target = newTarget.transform;
+            }
+            
+            if (showTargetCircle && targetCirclePrefab != null)
+            {
+                SpawnTargetCircle(targetPos);
+            }
+        }
+
+        private void OnDrawGizmosSelected()
+        {
+            Gizmos.color = new Color(1f, 0f, 0f, 0.2f);
+            var center = new Vector3(
+                transform.position.x + centerOffset.x,
+                0.1f,
+                transform.position.z + centerOffset.y
+            );
+            Gizmos.DrawWireSphere(center, randomRadius);
+            
+            if (target != null)
+            {
+                var reachable = Projectile.IsTargetReachable(transform.position, target.position, launchSpeed);
+                Gizmos.color = reachable ? Color.green : Color.red;
+                Gizmos.DrawLine(transform.position, target.position);
+                
+                Gizmos.color = Color.yellow;
+                Gizmos.DrawSphere(target.position, 0.2f);
+            }
+        }
+    }
+}

Assets/Code/Lab5/ProjectileLauncher.cs.meta

@@ -0,0 +1,3 @@
+fileFormatVersion: 2
+guid: b27a3f528aa34fda91c0941bcdecaa7b
+timeCreated: 1771338982