455c06ecd4
Implement built-in classes Vector4, Vector4i and Projection. * Two versions of Vector4 (float and integer). * A Projection class, which is a 4x4 matrix specialized in projection types. These types have been requested for a long time, but given they were very corner case they were not added before. Because in Godot 4, reimplementing parts of the rendering engine is now possible, access to these types (heavily used by the rendering code) becomes a necessity. **Q**: Why Projection and not Matrix4? **A**: Godot does not use Matrix2, Matrix3, Matrix4x3, etc. naming convention because, within the engine, these types always have a *purpose*. As such, Godot names them: Transform2D, Transform3D or Basis. In this case, this 4x4 matrix is _always_ used as a _Projection_, hence the naming.
278 lines
10 KiB
XML
278 lines
10 KiB
XML
<?xml version="1.0" encoding="UTF-8" ?>
|
|
<class name="float" version="4.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="../class.xsd">
|
|
<brief_description>
|
|
Float built-in type.
|
|
</brief_description>
|
|
<description>
|
|
The [float] built-in type is a 64-bit double-precision floating-point number, equivalent to [code]double[/code] in C++. This type has 14 reliable decimal digits of precision. The [float] type can be stored in [Variant], which is the generic type used by the engine. The maximum value of [float] is approximately [code]1.79769e308[/code], and the minimum is approximately [code]-1.79769e308[/code].
|
|
Many methods and properties in the engine use 32-bit single-precision floating-point numbers instead, equivalent to [code]float[/code] in C++, which have 6 reliable decimal digits of precision. For data structures such as [Vector2] and [Vector3], Godot uses 32-bit floating-point numbers by default, but it can be changed to use 64-bit doubles if Godot is compiled with the [code]float=64[/code] option.
|
|
Math done using the [float] type is not guaranteed to be exact or deterministic, and will often result in small errors. You should usually use the [method @GlobalScope.is_equal_approx] and [method @GlobalScope.is_zero_approx] methods instead of [code]==[/code] to compare [float] values for equality.
|
|
</description>
|
|
<tutorials>
|
|
<link title="Wikipedia: Double-precision floating-point format">https://en.wikipedia.org/wiki/Double-precision_floating-point_format</link>
|
|
<link title="Wikipedia: Single-precision floating-point format">https://en.wikipedia.org/wiki/Single-precision_floating-point_format</link>
|
|
</tutorials>
|
|
<constructors>
|
|
<constructor name="float">
|
|
<return type="float" />
|
|
<description>
|
|
Constructs a default-initialized [float] set to [code]0.0[/code].
|
|
</description>
|
|
</constructor>
|
|
<constructor name="float">
|
|
<return type="float" />
|
|
<argument index="0" name="from" type="float" />
|
|
<description>
|
|
Constructs a [float] as a copy of the given [float].
|
|
</description>
|
|
</constructor>
|
|
<constructor name="float">
|
|
<return type="float" />
|
|
<argument index="0" name="from" type="bool" />
|
|
<description>
|
|
Cast a [bool] value to a floating-point value, [code]float(true)[/code] will be equal to 1.0 and [code]float(false)[/code] will be equal to 0.0.
|
|
</description>
|
|
</constructor>
|
|
<constructor name="float">
|
|
<return type="float" />
|
|
<argument index="0" name="from" type="int" />
|
|
<description>
|
|
Cast an [int] value to a floating-point value, [code]float(1)[/code] will be equal to [code]1.0[/code].
|
|
</description>
|
|
</constructor>
|
|
</constructors>
|
|
<operators>
|
|
<operator name="operator !=">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="float" />
|
|
<description>
|
|
Returns [code]true[/code] if two floats are different from each other.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator !=">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="int" />
|
|
<description>
|
|
Returns [code]true[/code] if the integer has different value than the float.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator *">
|
|
<return type="Color" />
|
|
<argument index="0" name="right" type="Color" />
|
|
<description>
|
|
Multiplies each component of the [Color] by the given [float].
|
|
[codeblock]
|
|
print(1.5 * Color(0.5, 0.5, 0.5)) # Color(0.75, 0.75, 0.75)
|
|
[/codeblock]
|
|
</description>
|
|
</operator>
|
|
<operator name="operator *">
|
|
<return type="Quaternion" />
|
|
<argument index="0" name="right" type="Quaternion" />
|
|
<description>
|
|
Multiplies each component of the [Quaternion] by the given [float]. This operation is not meaningful on its own, but it can be used as a part of a larger expression.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator *">
|
|
<return type="Vector2" />
|
|
<argument index="0" name="right" type="Vector2" />
|
|
<description>
|
|
Multiplies each component of the [Vector2] by the given [float].
|
|
[codeblock]
|
|
print(2.5 * Vector2(1, 3)) # Prints "(2.5, 7.5)"
|
|
[/codeblock]
|
|
</description>
|
|
</operator>
|
|
<operator name="operator *">
|
|
<return type="Vector2" />
|
|
<argument index="0" name="right" type="Vector2i" />
|
|
<description>
|
|
Multiplies each component of the [Vector2i] by the given [float]. Returns a [Vector2].
|
|
[codeblock]
|
|
print(0.9 * Vector2i(10, 15)) # Prints "(9, 13.5)"
|
|
[/codeblock]
|
|
</description>
|
|
</operator>
|
|
<operator name="operator *">
|
|
<return type="Vector3" />
|
|
<argument index="0" name="right" type="Vector3" />
|
|
<description>
|
|
Multiplies each component of the [Vector3] by the given [float].
|
|
</description>
|
|
</operator>
|
|
<operator name="operator *">
|
|
<return type="Vector3" />
|
|
<argument index="0" name="right" type="Vector3i" />
|
|
<description>
|
|
Multiplies each component of the [Vector3i] by the given [float]. Returns a [Vector3].
|
|
[codeblock]
|
|
print(0.9 * Vector3i(10, 15, 20)) # Prints "(9, 13.5, 18)"
|
|
[/codeblock]
|
|
</description>
|
|
</operator>
|
|
<operator name="operator *">
|
|
<return type="Vector4" />
|
|
<argument index="0" name="right" type="Vector4" />
|
|
<description>
|
|
</description>
|
|
</operator>
|
|
<operator name="operator *">
|
|
<return type="Vector4" />
|
|
<argument index="0" name="right" type="Vector4i" />
|
|
<description>
|
|
</description>
|
|
</operator>
|
|
<operator name="operator *">
|
|
<return type="float" />
|
|
<argument index="0" name="right" type="float" />
|
|
<description>
|
|
Multiplies two [float]s.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator *">
|
|
<return type="float" />
|
|
<argument index="0" name="right" type="int" />
|
|
<description>
|
|
Multiplies a [float] and an [int]. The result is a [float].
|
|
</description>
|
|
</operator>
|
|
<operator name="operator **">
|
|
<return type="float" />
|
|
<argument index="0" name="right" type="float" />
|
|
<description>
|
|
</description>
|
|
</operator>
|
|
<operator name="operator **">
|
|
<return type="float" />
|
|
<argument index="0" name="right" type="int" />
|
|
<description>
|
|
</description>
|
|
</operator>
|
|
<operator name="operator +">
|
|
<return type="float" />
|
|
<argument index="0" name="right" type="float" />
|
|
<description>
|
|
Adds two floats.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator +">
|
|
<return type="float" />
|
|
<argument index="0" name="right" type="int" />
|
|
<description>
|
|
Adds a [float] and an [int]. The result is a [float].
|
|
</description>
|
|
</operator>
|
|
<operator name="operator -">
|
|
<return type="float" />
|
|
<argument index="0" name="right" type="float" />
|
|
<description>
|
|
Subtracts a float from a float.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator -">
|
|
<return type="float" />
|
|
<argument index="0" name="right" type="int" />
|
|
<description>
|
|
Subtracts an [int] from a [float]. The result is a [float].
|
|
</description>
|
|
</operator>
|
|
<operator name="operator /">
|
|
<return type="float" />
|
|
<argument index="0" name="right" type="float" />
|
|
<description>
|
|
Divides two floats.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator /">
|
|
<return type="float" />
|
|
<argument index="0" name="right" type="int" />
|
|
<description>
|
|
Divides a [float] by an [int]. The result is a [float].
|
|
</description>
|
|
</operator>
|
|
<operator name="operator <">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="float" />
|
|
<description>
|
|
Returns [code]true[/code] the left float is less than the right one.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator <">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="int" />
|
|
<description>
|
|
Returns [code]true[/code] if this [float] is less than the given [int].
|
|
</description>
|
|
</operator>
|
|
<operator name="operator <=">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="float" />
|
|
<description>
|
|
Returns [code]true[/code] the left integer is less than or equal to the right one.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator <=">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="int" />
|
|
<description>
|
|
Returns [code]true[/code] if this [float] is less than or equal to the given [int].
|
|
</description>
|
|
</operator>
|
|
<operator name="operator ==">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="float" />
|
|
<description>
|
|
Returns [code]true[/code] if both floats are exactly equal.
|
|
[b]Note:[/b] Due to floating-point precision errors, consider using [method @GlobalScope.is_equal_approx] or [method @GlobalScope.is_zero_approx] instead, which are more reliable.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator ==">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="int" />
|
|
<description>
|
|
Returns [code]true[/code] if the [float] and the given [int] are equal.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator >">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="float" />
|
|
<description>
|
|
Returns [code]true[/code] the left float is greater than the right one.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator >">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="int" />
|
|
<description>
|
|
Returns [code]true[/code] if this [float] is greater than the given [int].
|
|
</description>
|
|
</operator>
|
|
<operator name="operator >=">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="float" />
|
|
<description>
|
|
Returns [code]true[/code] the left float is greater than or equal to the right one.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator >=">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="int" />
|
|
<description>
|
|
Returns [code]true[/code] if this [float] is greater than or equal to the given [int].
|
|
</description>
|
|
</operator>
|
|
<operator name="operator unary+">
|
|
<return type="float" />
|
|
<description>
|
|
Returns the same value as if the [code]+[/code] was not there. Unary [code]+[/code] does nothing, but sometimes it can make your code more readable.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator unary-">
|
|
<return type="float" />
|
|
<description>
|
|
Returns the negative value of the [float]. If positive, turns the number negative. If negative, turns the number positive. With floats, the number zero can be either positive or negative.
|
|
</description>
|
|
</operator>
|
|
</operators>
|
|
</class>
|