Mathf Class |
[Missing <summary> documentation for "T:Godot.Mathf"]
Namespace: Godot
public static class Mathf
The Mathf type exposes the following members.
Name | Description | |
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Abs(Int32) |
Returns the absolute value of `s` (i.e. positive value).
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Abs(Single) |
Returns the absolute value of `s` (i.e. positive value).
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Acos |
Returns the arc cosine of `s` in radians. Use to get the angle of cosine s.
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Asin |
Returns the arc sine of `s` in radians. Use to get the angle of sine s.
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Atan |
Returns the arc tangent of `s` in radians. Use to get the angle of tangent s.
The method cannot know in which quadrant the angle should fall.
See Atan2(Single, Single) if you have both `y` and `x`.
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Atan2 |
Returns the arc tangent of `y` and `x` in radians. Use to get the angle
of the tangent of `y/x`. To compute the value, the method takes into
account the sign of both arguments in order to determine the quadrant.
Important note: The Y coordinate comes first, by convention.
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Cartesian2Polar |
Converts a 2D point expressed in the cartesian coordinate
system (X and Y axis) to the polar coordinate system
(a distance from the origin and an angle).
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Ceil |
Rounds `s` upward (towards positive infinity).
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CeilToInt |
Rounds `s` upward (towards positive infinity).
This is the same as Ceil(Single), but returns an `int`.
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Clamp(Int32, Int32, Int32) |
Clamps a `value` so that it is not less than `min` and not more than `max`.
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Clamp(Single, Single, Single) |
Clamps a `value` so that it is not less than `min` and not more than `max`.
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Cos |
Returns the cosine of angle `s` in radians.
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Cosh |
Returns the hyperbolic cosine of angle `s` in radians.
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DecimalCount(Decimal) |
Returns the amount of digits after the decimal place.
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DecimalCount(Single) |
Returns the amount of digits after the decimal place.
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Deg2Rad |
Converts an angle expressed in degrees to radians.
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Ease |
Easing function, based on exponent. The curve values are:
`0` is constant, `1` is linear, `0` to `1` is ease-in, `1` or more is ease-out.
Negative values are in-out/out-in.
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Exp |
The natural exponential function. It raises the mathematical
constant `e` to the power of `s` and returns it.
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Floor |
Rounds `s` downward (towards negative infinity).
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FloorToInt |
Rounds `s` downward (towards negative infinity).
This is the same as Floor(Single), but returns an `int`.
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InverseLerp |
Returns a normalized value considering the given range.
This is the opposite of Lerp(Single, Single, Single).
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IsEqualApprox(Single, Single) |
Returns true if `a` and `b` are approximately equal to each other.
The comparison is done using a tolerance calculation with Epsilon.
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IsEqualApprox(Single, Single, Single) |
Returns true if `a` and `b` are approximately equal to each other.
The comparison is done using the provided tolerance value.
If you want the tolerance to be calculated for you, use IsEqualApprox(Single, Single).
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IsInf |
Returns whether `s` is an infinity value (either positive infinity or negative infinity).
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IsNaN |
Returns whether `s` is a `NaN` ("Not a Number" or invalid) value.
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IsZeroApprox |
Returns true if `s` is approximately zero.
The comparison is done using a tolerance calculation with Epsilon.
This method is faster than using IsEqualApprox(Single, Single) with one value as zero.
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Lerp |
Linearly interpolates between two values by a normalized value.
This is the opposite InverseLerp(Single, Single, Single).
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LerpAngle |
Linearly interpolates between two angles (in radians) by a normalized value.
Similar to Lerp(Single, Single, Single),
but interpolates correctly when the angles wrap around Tau.
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Log |
Natural logarithm. The amount of time needed to reach a certain level of continuous growth.
Note: This is not the same as the "log" function on most calculators, which uses a base 10 logarithm.
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Max(Int32, Int32) |
Returns the maximum of two values.
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Max(Single, Single) |
Returns the maximum of two values.
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Min(Int32, Int32) |
Returns the minimum of two values.
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Min(Single, Single) |
Returns the minimum of two values.
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MoveToward |
Moves `from` toward `to` by the `delta` value.
Use a negative delta value to move away.
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NearestPo2 |
Returns the nearest larger power of 2 for the integer `value`.
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Polar2Cartesian |
Converts a 2D point expressed in the polar coordinate
system (a distance from the origin `r` and an angle `th`)
to the cartesian coordinate system (X and Y axis).
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PosMod(Int32, Int32) |
Performs a canonical Modulus operation, where the output is on the range `[0, b)`.
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PosMod(Single, Single) |
Performs a canonical Modulus operation, where the output is on the range `[0, b)`.
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Pow |
Returns the result of `x` raised to the power of `y`.
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Rad2Deg |
Converts an angle expressed in radians to degrees.
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Round |
Rounds `s` to the nearest whole number,
with halfway cases rounded towards the nearest multiple of two.
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RoundToInt | ||
Sign(Int32) |
Returns the sign of `s`: `-1` or `1`. Returns `0` if `s` is `0`.
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Sign(Single) |
Returns the sign of `s`: `-1` or `1`. Returns `0` if `s` is `0`.
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Sin |
Returns the sine of angle `s` in radians.
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Sinh |
Returns the hyperbolic sine of angle `s` in radians.
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SmoothStep |
Returns a number smoothly interpolated between `from` and `to`,
based on the `weight`. Similar to Lerp(Single, Single, Single),
but interpolates faster at the beginning and slower at the end.
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Sqrt |
Returns the square root of `s`, where `s` is a non-negative number.
If you need negative inputs, use `System.Numerics.Complex`.
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StepDecimals |
Returns the position of the first non-zero digit, after the
decimal point. Note that the maximum return value is 10,
which is a design decision in the implementation.
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Stepify |
Snaps float value `s` to a given `step`.
This can also be used to round a floating point
number to an arbitrary number of decimals.
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Tan |
Returns the tangent of angle `s` in radians.
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Tanh |
Returns the hyperbolic tangent of angle `s` in radians.
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Wrap(Int32, Int32, Int32) |
Wraps `value` between `min` and `max`. Usable for creating loop-alike
behavior or infinite surfaces. If `min` is `0`, this is equivalent
to PosMod(Int32, Int32), so prefer using that instead.
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Wrap(Single, Single, Single) |
Wraps `value` between `min` and `max`. Usable for creating loop-alike
behavior or infinite surfaces. If `min` is `0`, this is equivalent
to PosMod(Single, Single), so prefer using that instead.
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Name | Description | |
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E |
The natural number `e`.
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Epsilon |
A very small number used for float comparison with error tolerance.
1e-06 with single-precision floats, but 1e-14 if `REAL_T_IS_DOUBLE`.
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Inf |
Positive infinity. For negative infinity, use `-Mathf.Inf`.
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NaN |
"Not a Number", an invalid value. `NaN` has special properties, including
that it is not equal to itself. It is output by some invalid operations,
such as dividing zero by zero.
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Pi |
Constant that represents how many times the diameter of a circle
fits around its perimeter. This is equivalent to `Mathf.Tau / 2`.
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Sqrt2 |
The square root of 2.
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Tau |
The circle constant, the circumference of the unit circle in radians.
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