public bool PosTest4()
{
bool retVal = true;
TestLibrary.TestFramework.BeginScenario("PosTest4: Verify the value of atn(inf+1)=atn(inf)");
try
{
float angle = MathF.Atan(float.PositiveInfinity + 1);
float baseline = MathF.Atan(float.PositiveInfinity);
if (!MathFTestLib.SingleIsWithinEpsilon(angle, baseline))
{
TestLibrary.TestFramework.LogError("007", "Expected: " + baseline.ToString() + ", actual: " +
angle.ToString() + " diff>epsilon= " + MathFTestLib.Epsilon.ToString());
retVal = false;
}
}
catch (Exception e)
{
TestLibrary.TestFramework.LogError("008", "Unexpected exception occurs: " + e);
retVal = false;
}
return(retVal);
}
public void UpdateFacing(Vector2f?position)
{
if (Position != position)
{
Vector2f?vec = Position - position;
if (vec != null)
{
float nfacing = MathF.Atan(vec.Value.Y / vec.Value.X) * 180 / MathF.PI;
if (nfacing < 0)
{
nfacing = nfacing + 180;
}
if (vec.Value.Y >= 0)
{
nfacing += 180;
}
nfacing -= 90;
if (nfacing < 0)
{
nfacing += 360;
}
facing = nfacing;
}
}
}
private void GenPlanetWOrbit(Planet toOrbit, Vector2 diff, Color colour, float radius, float mass, float dir)
{
float rOrbit = diff.Length();
float angle = MathF.Atan(diff.Y / diff.X);
float vel = MathF.Sqrt(toOrbit.Mass / rOrbit) * dir;
planets.Add(new Planet(colour, radius, vel * new Vector2(-MathF.Sin(angle), MathF.Cos(angle)) + toOrbit.Velocity, toOrbit.Displacement + diff, mass));
}
public Color ToRGB(float exposure)
{
byte red = (byte)(255.0 * MathF.Atan(exposure * R) * 2.0 / MathF.PI + 1.0);
byte green = (byte)(255.0 * MathF.Atan(exposure * G) * 2.0 / MathF.PI + 1.0);
byte blue = (byte)(255.0 * MathF.Atan(exposure * B) * 2.0 / MathF.PI + 1.0);
return(Color.FromArgb(red, green, blue));
}
public static void Atan()
{
AssertEqual(MathF.PI / 4.0f, MathF.Atan(1.0f), CrossPlatformMachineEpsilon);
Assert.Equal(0.0f, MathF.Atan(0.0f));
AssertEqual(-MathF.PI / 4.0f, MathF.Atan(-1.0f), CrossPlatformMachineEpsilon);
Assert.Equal(float.NaN, MathF.Atan(float.NaN));
AssertEqual(MathF.PI / 2.0f, MathF.Atan(float.PositiveInfinity), CrossPlatformMachineEpsilon * 10);
AssertEqual(-MathF.PI / 2.0f, MathF.Atan(float.NegativeInfinity), CrossPlatformMachineEpsilon * 10);
}
public Sprite Draw(AnimationPart part, AnimationState state)
{
AnimationStep step = part.CurrentStep(state.elapsed);
if (step == null)
{
if (state.Repeatable)
{
state.elapsed = Time.Zero;
step = part.CurrentStep(state.elapsed);
}
else
{
state.Finished = true;
}
}
if (state.ID != LastState || LastStateTime != part.TotalStepTimeUntil(state.elapsed) && step != null)
{
LastRotation = NewRotation;
LastState = state.ID;
LastStateTime = part.TotalStepTimeUntil(state.elapsed);
NewRotation = step.Rotation;
}
int direction = RotationState(state.facing);
Sprite ret = new Sprite(BaseTexture[direction]);
if (step == null)
{
state.ID = 0;
state.elapsed = Time.Zero;
ret.Position = new Vector2f(
(float)(state.Position.X + Math.Cos((Math.PI / 180) * state.facing) * RotationCenter.X) -
ret.GetLocalBounds().Width / 2,
(float)(state.Position.Y + Math.Sin((Math.PI / 180) * state.facing) * RotationCenter.X / 2 +
RotationCenter.Y));
return(ret);
}
Time timeInState = state.elapsed - part.TotalStepTimeUntil(state.elapsed);
float currentRotation;
currentRotation = LastRotation + (NewRotation - LastRotation) * timeInState.AsSeconds() / step.Duration.AsSeconds();
float actualRotation =
MathF.Atan(MathF.Tan(currentRotation * MathF.PI / 180) * MathF.Sin(state.facing * MathF.PI / 180)) *
180 / MathF.PI;
float desiredHeight = (float)(Math.Cos((Math.PI / 180) * currentRotation) / Math.Cos((Math.PI / 180) * actualRotation) *
BaseTexture[direction].GetLocalBounds().Height);
ret.Scale = new Vector2f(1, desiredHeight / BaseTexture[direction].GetLocalBounds().Height);
ret.Rotation = actualRotation;
ret.Origin = GetOriginCenter(direction);
ret.Position = new Vector2f(
(float)(state.Position.X + Math.Cos((Math.PI / 180) * state.facing) * RotationCenter.X) - Origin.X - ret.GetLocalBounds().Width / 2,
(float)(state.Position.Y + Math.Sin((Math.PI / 180) * state.facing) * RotationCenter.X / 2 + RotationCenter.Y + Origin.Y));
return(ret);
}
/// <summary>
/// Set the top of the camera stack to this camera
/// </summary>
public void SetCamera(Region region, float aspectRatio, float near, float far)
{
var pos = Transform.GetPositionInRegion(region).To <float>();
Camera.SetProjection(
pos, pos + Transform.Forward,
MathF.Atan(MathF.Tan(FOV) / Zoom), aspectRatio, Transform.Up,
near,
far
);
}
public static Single GetRotation(Vector2 vector)
{
// Calculate the angle.
var Angle = MathF.Atan(vector.Y / vector.X);
if (vector.X < 0)
{
Angle += (float)Math.PI;
}
return(Angle);
}
private void SetupCamera()
{
viewMatrix = Matrix4.LookAt(currentScene.Camera.Position.X, currentScene.Camera.Position.Y,
currentScene.Camera.Position.Z, currentScene.Camera.LookAt.X, currentScene.Camera.LookAt.Y,
currentScene.Camera.LookAt.Z, 0f, 1f, 0f);
float fov = MathF.Atan((0.5f * 36f) / currentScene.Camera.FocalLength) * 2f;
projectionMatrix = Matrix4.CreatePerspectiveFieldOfView(fov,
(float)(control.ActualWidth / control.ActualHeight), 0.01f, 1000f);
}
public static void Test(float f, bool doSin = false, bool doCos = false, bool doTan = false, bool doSinCos = false, bool doATan = false, bool doATan2 = false)
{
Console.WriteLine($"For value {f}: ");
var v = Vector128.Create(f);
if (doSin)
{
Console.WriteLine($"MathF Sin: {MathF.Sin(f)}");
Console.WriteLine($"MathSharp Sin: {Sin(v).ToScalar()}");
Console.WriteLine($"MathSharp SinApprox: {SinApprox(v).ToScalar()}");
}
if (doCos)
{
Console.WriteLine($"MathF Cos: {MathF.Cos(f)}");
Console.WriteLine($"MathSharp Cos: {Cos(v).ToScalar()}");
Console.WriteLine($"MathSharp CosApprox: {CosApprox(v).ToScalar()}");
}
if (doTan)
{
Console.WriteLine($"MathF Tan: {MathF.Tan(f)}");
Console.WriteLine($"MathSharp Tan: {Tan(v).ToScalar()}");
Console.WriteLine($"MathSharp TanApprox: {TanApprox(v).ToScalar()}");
}
if (doSinCos)
{
SinCos(v, out Vector128 <float> sin, out Vector128 <float> cos);
SinCosApprox(v, out Vector128 <float> sinEst, out Vector128 <float> cosEst);
Console.WriteLine($"MathF SinCos: {MathF.Sin(f)}, {MathF.Cos(f)}");
Console.WriteLine($"MathSharp SinCos: {sin.ToScalar()}, {cos.ToScalar()}");
Console.WriteLine($"MathSharp SinCosApprox: {sinEst.ToScalar()}, {cosEst.ToScalar()}");
}
if (doATan)
{
Console.WriteLine($"MathF ATan: {MathF.Atan(f)}");
Console.WriteLine($"MathSharp ATan: {ATan(v).ToScalar()}");
//Console.WriteLine($"MathSharp ATanApprox: {ATanApprox(v).ToScalar()}");
}
if (doATan2)
{
Console.WriteLine($"MathF ATan2: {MathF.Atan2(f, f)}");
Console.WriteLine($"MathSharp ATan2: {ATan2(v, v).ToScalar()}");
//Console.WriteLine($"MathSharp ATan2Approx: {TanApprox(v).ToScalar()}");
}
Console.WriteLine("\n");
}
private Matrix4 getLightViewMatrix(Camera camera, Light light)
{
var ld = light.Direction.Normalized();
var pitch = MathF.Acos(ld.Xz.Length);
var yaw = MathF.Atan(ld.X / ld.Z);
yaw = ld.Z > 0 ? yaw - MathF.PI : yaw;
return(Matrix4.CreateTranslation(-camera.Look) *
Matrix4.CreateRotationY(-yaw) *
Matrix4.CreateRotationX(pitch));
}
private static void CorrectFishEye(ImageGrid grid, float correctionRadius, RgbColor[] buffer)
{
// calculate the coordinates of the center of the image
var centerX = grid.Width / 2;
var centerY = grid.Height / 2;
// iterate through all horizontal lines
for (var y = 0; y < grid.Height; y++)
{
// calculate the y-coordinate currently processing and precompute the squared value
// of the current center y-coordinate being processed
var currentY = y - centerY;
var currentYSquared = MathF.Pow(currentY, 2);
// iterate through all vertical lines in the current horizontal scan line
for (var x = 0; x < grid.Width; x++)
{
// calculate the x-coordinate currently processing and compute the squared value
// of the current center x-coordinate being processed
var currentX = x - centerX;
var currentXSquared = MathF.Pow(currentX, 2);
// compute the distance between the original center and the current point
var distance = MathF.Sqrt(currentXSquared + currentYSquared);
// compute the current correction radius to perform correction with
var radius = distance / correctionRadius;
// the theta used as a factor to correct the fish-eye distortion, pre-initialize
// with 1F to avoid division through zero errors
var theta = 1F;
// check if the radius is not zero, to avoid division through zero errors
if (radius is not 0.0F)
{
// compute the theta
theta = MathF.Atan(radius) / radius;
}
// calculate the coordinates of the pixel to retrieve the value from
var sourceX = (int)MathF.Floor(centerX + (theta * currentX));
var sourceY = (int)MathF.Floor(centerY + (theta * currentY));
// retrieve the value of the source pixel
var value = grid.GetPixel(sourceX, sourceY);
// set the current target pixel to the corrected pixel
buffer[x + (y * grid.Width)] = value;
}
}
}
private void Move()
{
Vector2 playerPosition = EntityManager.Instance.Player.Position;
float differenceY = Sprite.Position.Y - playerPosition.Y;
float differenceX = Sprite.Position.X - playerPosition.X;
if (differenceX < 0)
{
Rotation = MathF.Atan(differenceY / differenceX) - (MathF.PI / 2);
}
else
{
Rotation = MathF.Atan(differenceY / differenceX) + (MathF.PI / 2);
}
Position = new Vector2(Position.X - (Speed * MathF.Sin(Rotation)), Position.Y + (Speed * MathF.Cos(Rotation)));
}
public void CreateGrids()
{
if (slopeGrid.IsNotSetup())
{
// setup custom grids with the same size as this DEM
slopeGrid.Setup(this);
viewGrid.Setup(this);
aspectGrid.Setup(this);
}
else
{
return;
}
// use fixed values for azimuth (315) and angle (45 deg) and calculate
// norm vectors
float sun_x = MathF.Cos(315.0F * MathF.PI / 180.0F) * MathF.Cos(45.0F * MathF.PI / 180.0F);
float sun_y = MathF.Sin(315.0F * MathF.PI / 180.0F) * MathF.Cos(45.0F * MathF.PI / 180.0F);
float sun_z = MathF.Sin(45.0F * MathF.PI / 180.0F);
float a_x, a_y, a_z;
for (int p = 0; p < this.Count; ++p)
{
PointF pt = GetCellCenterPosition(p);
float height = GetOrientation(pt, out float slope, out float aspect);
slopeGrid[p] = slope;
aspectGrid[p] = aspect;
// calculate the view value:
if (height > 0)
{
float h = MathF.Atan(slopeGrid[p]);
a_x = MathF.Cos(aspectGrid[p] * MathF.PI / 180.0F) * MathF.Cos(h);
a_y = MathF.Sin(aspectGrid[p] * MathF.PI / 180.0F) * MathF.Cos(h);
a_z = MathF.Sin(h);
// use the scalar product to calculate the angle, and then
// transform from [-1,1] to [0,1]
viewGrid[p] = (a_x * sun_x + a_y * sun_y + a_z * sun_z + 1.0F) / 2.0F;
}
else
{
viewGrid[p] = 0.0F;
}
}
}
public static void AtanTest()
{
float result = 0.0f, value = -1.0f;
for (int iteration = 0; iteration < MathTests.Iterations; iteration++)
{
value += atanDelta;
result += MathF.Atan(value);
}
float diff = MathF.Abs(atanExpectedResult - result);
if (diff > MathTests.SingleEpsilon)
{
throw new Exception($"Expected Result {atanExpectedResult,10:g9}; Actual Result {result,10:g9}");
}
}
public static float radPOX(float x, float y)
{
//P在(0,0)的情况
if (x == 0 && y == 0)
{
return(0);
}
//P在四个坐标轴上的情况：x正、x负、y正、y负
if (y == 0 && x > 0)
{
return(0);
}
if (y == 0 && x < 0)
{
return(MathF.PI);
}
if (x == 0 && y > 0)
{
return(MathF.PI / 2);
}
if (x == 0 && y < 0)
{
return(MathF.PI / 2 * 3);
}
//点在第一、二、三、四象限时的情况
if (x > 0 && y > 0)
{
return(MathF.Atan(y / x));
}
if (x < 0 && y > 0)
{
return(MathF.PI - MathF.Atan(y / -x));
}
if (x < 0 && y < 0)
{
return(MathF.PI + MathF.Atan(-y / -x));
}
if (x > 0 && y < 0)
{
return(MathF.PI * 2 - MathF.Atan(-y / x));
}
return(0);
}
public static void AtanSingleTest()
{
var result = 0.0f; var value = -1.0f;
for (var iteration = 0; iteration < iterations; iteration++)
{
value += atanSingleDelta;
result += MathF.Atan(value);
}
var diff = MathF.Abs(atanSingleExpectedResult - result);
if (diff > singleEpsilon)
{
throw new Exception($"Expected Result {atanSingleExpectedResult,10:g9}; Actual Result {result,10:g9}");
}
}
private void SetBoxState(int x, int y, int z)
{
boxes[x, y, z] = new Box
(
size: boxSize,
position: new Vector3f
(
x * boxSize.X - ((boxCount.X - 1) * boxSize.X) / 2,
y * boxSize.Y - ((boxCount.Y - 1) * boxSize.Y) / 2,
z * boxSize.Z - ((boxCount.Z - 1) * boxSize.Z) / 2 + 0.0001f // Preventing Zero Exeption
),
rotation: new Vector3f
(
MathF.PI / 4f,
-MathF.Atan(1 / MathF.Sqrt(2)),
0
),
fillColor: Color.Black,
type: PrimitiveType.Quads
);
}
public bool PosTest5()
{
bool retVal = true;
TestLibrary.TestFramework.BeginScenario("PosTest5: Verify atn(-inf -1)=atn(-inf)");
try
{
float angle = MathF.Atan(float.NegativeInfinity - 1);
float baseline = MathF.Atan(float.NegativeInfinity);
if (!MathFTestLib.SingleIsWithinEpsilon(angle, baseline))
{
TestLibrary.TestFramework.LogError("009", "Expected " + baseline.ToString() + ", actual: " + angle.ToString());
retVal = false;
}
}
catch (Exception e)
{
TestLibrary.TestFramework.LogError("010", "Unexpected exception occurs: " + e);
retVal = false;
}
return(retVal);
}
public bool PosTest3()
{
bool retVal = true;
TestLibrary.TestFramework.BeginScenario("PosTest3: Verify the value of arctan(0) is zero...");
try
{
float angle = MathF.Atan(0);
if (!MathFTestLib.SingleIsWithinEpsilon(angle, 0))
{
TestLibrary.TestFramework.LogError("005", "Expected: 0, actual: " +
angle.ToString() + " diff>epsilon= " + MathFTestLib.Epsilon.ToString());
retVal = false;
}
}
catch (Exception e)
{
TestLibrary.TestFramework.LogError("006", "Unexpected exception occurs: " + e);
retVal = false;
}
return(retVal);
}
public bool PosTest2()
{
bool retVal = true;
TestLibrary.TestFramework.BeginScenario("PosTest2: Verify the value of arctan(PositiveInfinity) is MathF.PI/2...");
try
{
float angle = MathF.Atan(float.PositiveInfinity);
if (!MathFTestLib.SingleIsWithinEpsilon(angle, MathF.PI / 2))
{
TestLibrary.TestFramework.LogError("003", "Expected: pi/2, actual: " +
angle.ToString() + " diff>epsilon= " + MathFTestLib.Epsilon.ToString());
retVal = false;
}
}
catch (Exception e)
{
TestLibrary.TestFramework.LogError("004", "Unexpected exception occurs: " + e);
retVal = false;
}
return(retVal);
}
public float GetAngleBetweenTwoAsteroids(Asteroid refferenceAsteroid, Asteroid otherAsteroid)
{
float ySub = -otherAsteroid.y - -refferenceAsteroid.y;
float xSub = otherAsteroid.x - refferenceAsteroid.x;
if (ySub == 0)
{
return(xSub > 0 ? 0 : 180);
}
float angle = MathF.Atan(ySub / xSub) * 180 / MathF.PI;
if (xSub < 0)
{
angle = 180 + angle;
}
while (angle < 0)
{
angle += 360;
}
return(angle);
}
public void Update()
{
if (health <= 0)
{
GameLogic.respawnAnimal(id);
}
float searchDistance = viewDistance;
foreach (Client _client in Server.clients.Values)
{
if (_client.player != null)
{
if (_client.player.spectating)
{
// Console.WriteLine(false);
// occupied = false;
checkWaitTimer();
continue;
}
// Console.WriteLine(true);
float playerDistance = Vector2.DistanceSquared(_client.player.position, position);
if (playerDistance < searchDistance)
{
searchDistance = playerDistance;
if (species == "wolf")
{
targetPosition = _client.player.position;
}
else if (species == "hare")
{
targetPosition = position - (_client.player.position - position);
}
occupied = false;
waitTimer = 0;
break;
}
else
{
checkWaitTimer();
}
}
}
if (waitTimer > 0)
{
waitTimer--;
}
Vector2 _moveDirection = targetPosition - position;
if (_moveDirection.X != 0)
{
rotation = MathF.Atan(_moveDirection.Y / _moveDirection.X) * 180f / ((float)Math.PI) + 90f;
if (_moveDirection.X > 0)
{
rotation += 180f;
}
}
if (knockbackVelocity > 0)
{
position += knockbackVelocity * knockbackDirection;
knockbackVelocity -= 0.3f;
if (knockbackVelocity < 0)
{
knockbackVelocity = 0;
}
}
Move(_moveDirection);
}
public void AtanTest()
{
AssumeFunctionSupported("atan");
Test(o => MathF.Round(MathF.Atan((float)o.UnitPrice), 5));
}
public float Atan(float a) => MathF.Atan(a);
public AngleF GetDirection() => MathF.Atan(Y / X);
public override void Init()
{
this.Orientation = new(-PI / 4, MathF.Atan(1 / MathF.Sqrt(2)));
this.DistanceToTarget = 10;
}
public override void ReceiveSignal(Signal signal, Connection connection)
{
float.TryParse(signal.value, NumberStyles.Float, CultureInfo.InvariantCulture, out float value);
switch (Function)
{
case FunctionType.Sin:
if (!UseRadians)
{
value = MathHelper.ToRadians(value);
}
value = MathF.Sin(value);
break;
case FunctionType.Cos:
if (!UseRadians)
{
value = MathHelper.ToRadians(value);
}
value = MathF.Cos(value);
break;
case FunctionType.Tan:
if (!UseRadians)
{
value = MathHelper.ToRadians(value);
}
//tan is undefined if the value is (π / 2) + πk, where k is any integer
if (!MathUtils.NearlyEqual(value % MathHelper.Pi, MathHelper.PiOver2))
{
value = MathF.Tan(value);
}
break;
case FunctionType.Asin:
//asin is only defined in the range [-1,1]
if (value >= -1.0f && value <= 1.0f)
{
float angle = MathF.Asin(value);
if (!UseRadians)
{
angle = MathHelper.ToDegrees(angle);
}
value = angle;
}
break;
case FunctionType.Acos:
//acos is only defined in the range [-1,1]
if (value >= -1.0f && value <= 1.0f)
{
float angle = MathF.Acos(value);
if (!UseRadians)
{
angle = MathHelper.ToDegrees(angle);
}
value = angle;
}
break;
case FunctionType.Atan:
if (connection.Name == "signal_in_x")
{
timeSinceReceived[0] = 0.0f;
float.TryParse(signal.value, NumberStyles.Float, CultureInfo.InvariantCulture, out receivedSignal[0]);
}
else if (connection.Name == "signal_in_y")
{
timeSinceReceived[1] = 0.0f;
float.TryParse(signal.value, NumberStyles.Float, CultureInfo.InvariantCulture, out receivedSignal[1]);
}
else
{
float angle = MathF.Atan(value);
if (!UseRadians)
{
angle = MathHelper.ToDegrees(angle);
}
value = angle;
}
break;
default:
throw new NotImplementedException($"Function {Function} has not been implemented.");
}
signal.value = value.ToString("G", CultureInfo.InvariantCulture);
item.SendSignal(signal, "signal_out");
}
public override RacketNumber Evaluate()
{
RacketNumber currentNumber = (RacketNumber)arguments[0].Evaluate();
return(RacketNumber.Parse(MathF.Atan(currentNumber.Value), false, currentNumber.IsRational));
}
static float ToBARK(float lsp)
{
return(13.1f * MathF.Atan(0.00074f * lsp) + 2.24f * MathF.Atan(0.0000000185f * lsp * lsp) + 0.0001f * lsp);
}