Minecraft:Density function: Difference between revisions

Revision as of 11:09, 29 July 2026

Template:Exclusive Density functions make up mathematical expressions to obtain a number from a position, stored as Minecraft:JSON files within a Minecraft:data pack in the path data/<namespace>/worldgen/density_function. They are referenced from the Minecraft:noise router in Minecraft:noise settings.

Template:TOC

JSON format

A density function can be a constant number or an object.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type.
- Other additional fields depend on the value of Template:Nbt, described below.

If the Template:Nbt is constant, a shorthand format is:

Template:Nbt: A constant number. Value between −1000000.0 and 1000000.0 (both inclusive).

Marker functions

cache_2d

Only computes the input density once per horizontal position.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, cache_2d).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The input to be cached.

cache_all_in_cell

Used by the game onto final_density and should not be referenced in data packs.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, cache_all_in_cell).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The input to be cached.

cache_once

If this density function is referenced twice, it is only computed once per block position.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, cache_once).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The input to be cached.

flat_cache

Calculate the value per 4×4 column (Value at each block in one column is the same). And it is calculated only once per column, at Y=0. Used often in combination with interpolated.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, flat_cache).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The input to be cached.

interpolated

Interpolates at each block in one cell based on the input density function value of some cells around. The size of each cell is size_horizontal * 4 and size_vertical * 4. Used often in combination with flat_cache.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, interpolated).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The input to be interpolated.

Mapped density functions

abs

Calculates the absolute value of the input density function.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, abs).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The input of the calculation.

cube

Cubes the input (x^3).

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, cube).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The input of the calculation.

half_negative

If the input is negative, returns half of the input. Otherwise returns the input. (x < 0 ? x/2 : x)

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, half_negative).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The input of the calculation.

interval_select

Selects between a number of density functions based on an input density function and a set of threshold values.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, interval_select).
- Template:Nbt: The value to be compared with any given Template:Cd.
- Template:Nbt: The threshold values to compare Template:Cd with.
  - If the input value is less than the threshold values, the result of Template:Cd will be selected.
  - If the input value is greater than the last threshold value, the last function will be selected.
  - There must be one fewer Template:Cd than Template:Cd.
- Template:Nbt: The resulting functions (at least two) to be selected from.
  - There must be one more element in Template:Cd than Template:Cd.

invert

Renamed to Template:Cd.Template:Upcoming Inverts the input (1/x).

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, invertTemplate:Until / reciprocalTemplate:Upcoming).
- Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function — The input of the calculation.

quarter_negative

If the input is negative, returns a quarter of the input. Otherwise returns the input. (x < 0 ? x/4 : x)

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, quarter_negative).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The input of the calculation.

square

Squares the input. (x^2)

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, square).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The input of the calculation.

squeeze

First clamps the input between −1 and 1, then transforms it using x/2 - x*x*x/24.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, squeeze).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The input of the calculation.

Functions with two arguments

add

Adds two density functions together.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, add).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The first input of the calculation.
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The second input of the calculation.

div

Performs division between two arguments.Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, div).
- Template:Nbt Template:Nbt Template:Nbt — The left-hand side of the operation.
- Template:Nbt Template:Nbt Template:Nbt — The right-hand side of the operation.

mul

Multiplies two inputs.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, mul).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The first input of the calculation.
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The second input of the calculation.

min

Returns the minimum of two inputs.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, min).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The first input of the calculation.
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The second input of the calculation.

max

Returns the maximum of two inputs.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, max).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The first input of the calculation.
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The second input of the calculation.

sub

Performs subtraction between two arguments.Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, sub).
- Template:Nbt Template:Nbt Template:Nbt — The left-hand side of the operation.
- Template:Nbt Template:Nbt Template:Nbt — The right-hand side of the operation.

Other density functions

beardifier

Adds beards for structures (see the terrain_adaptation field in structures). Its value is added to the final_density in noise setting by the game. Should not be referenced in data packs.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, beardifier).

blend_alpha

Used in vanilla for smooth transition to chunks generated in old versions.Template:Info needed

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, blend_alpha).

blend_density

Used in vanilla for smooth transition to chunks generated in old versions.Template:Info needed

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, blend_density).
- Template:Nbt Template:Nbt Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref/density function — The desired density of new chunks.

blend_offset

Used in vanilla for smooth transition to chunks generated in old versions.Template:Info needed

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, blend_offset).

ceil

Rounds the input value to positive infinity.Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, ceil).
- Template:Nbt: The input to round.
- Template:Nbt: The output will be rounded to an integer multiple of this value. If not specified, it defaults to a constant 1.

clamp

Clamps the input between two values.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, clamp).
- Template:Nbt Template:Nbt: One density function (a new Template:Nbt Template:Nbt density function definition, an Template:Nbt ID is not allowed here<ref>Template:Cite bug</ref>) — The input to clamp.
- Template:Nbt: The lower bound. Value between −1000000.0 and 1000000.0 (both inclusive).
- Template:Nbt: The upper bound. Value between −1000000.0 and 1000000.0 (both inclusive).

constant

A constant value.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, constant).
- Template:Nbt Template:Until / Template:Nbt Template:Upcoming: A constant value. Value between −1000000.0 and 1000000.0 (both inclusive).

distance_to_point

Computes the distance to a fixed point using the specified distance function.Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, distance_to_point).
- Template:Nbt: Template:Cd; the point to compute distance to
- Template:Nbt:
  - Template:Nbt: (i.e. Template:Cd)
  - Template:Nbt: (i.e. Template:Cd)
  - Template:Nbt: (i.e. Template:Cd)
  - Template:Nbt: (i.e. Template:Cd)

end_islands

Renamed to Template:Cd.Template:Upcoming Samples at current position using a noise algorithm used for end islands. Its minimum value is −0.84375 and its maximum value is 0.5625.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, end_islandsTemplate:Until / end_outer_islandsTemplate:Upcoming).

find_top_surface

Scans through a column of an input density and returns the topmost y-level that is above 0. If no such position exists within the bounds, the Template:Nbt is returned.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, find_top_surface).
- Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function — The density function to scan.
- Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function — The y-level to start the scan at. Usually a 2D density function.
- Template:Nbt: The y-level to stop the scan.
- Template:Nbt: The resolution of the scan. E.g. if set to 4, then only every 4th block is checked.

floor

Rounds the input value to negative infinity.Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, floor).
- Template:Nbt: The input to round.
- Template:Nbt: The output will be rounded to an integer multiple of this value. If not specified, it defaults to a constant 1.

log

Computes the natural logarithm of the given input.Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, log).
- Template:Nbt: the value for which to compute the natural logarithm.

lerp

Performs (unclamped) linear interpolation between two arguments based on an alpha.Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, lerp).
- Template:Nbt: The interpolation factor (e.g. 0 = first, 1 = second). Any value outside of Template:Cd will extrapolate.
- Template:Nbt: the value at Template:Cd.
- Template:Nbt: the value at Template:Cd.

negate

Negates the input.Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, negate).
- Template:Nbt: The function to negate.

noise

Samples a noise.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, noise).
- Template:Nbt: Template:Json ref — The noise to sample.
- Template:Nbt: Scales the X and Z before sampling.
- Template:Nbt: Scales the Y before sampling.

old_blended_noise

Samples a legacy noise. Template:Info needed

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, old_blended_noise).
- Template:Nbt: Value between 0.001 and 1000.0 (both inclusive).
- Template:Nbt: Value between 0.001 and 1000.0 (both inclusive).
- Template:Nbt: Value between 0.001 and 1000.0 (both inclusive).
- Template:Nbt: Value between 0.001 and 1000.0 (both inclusive).
- Template:Nbt: Value between 1.0 and 8.0 (both inclusive).

pow

Raises the given base value to an exponent.Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, pow).
- Template:Nbt: the base value.
- Template:Nbt: the exponent.

range_choice

Computes the input value, and depending on that result returns one of two other density functions. Basically an if-then-else statement.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, range_choice).
- Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function — The value to compare
- Template:Nbt: The lower bound of the range. Value between −1000000.0 and 1000000.0 (both inclusive).
- Template:Nbt: The upper bound of the range. Value between −1000000.0 and 1000000.0 (both inclusive).
- Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function — Used when the input is inside the range.
- Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function — Used when the input is outside the range.

round

Rounds the input value to to the nearest integer (ties round up).Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, round).
- Template:Nbt: The input to round.
- Template:Nbt: The output will be rounded to an integer multiple of this value. If not specified, it defaults to a constant 1.

shift

Samples a noise at (x/4, y/4, z/4), then multiplies it by 4.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, shift).
- Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref — The noise to sample.

shift_a

Samples a noise at (x/4, 0, z/4), then multiplies it by 4.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, shift_a).
- Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref — The noise to sample.

shift_b

Samples a noise at (z/4, x/4, 0), then multiplies it by 4.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, shift_b).
- Template:Nbt Template:Until / Template:Nbt Template:Upcoming: Template:Json ref — The noise to sample.

shifted_noise

Similar to noise, but first shifts the input coordinates.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, shifted_noise).
- Template:Nbt: Template:Json ref — The noise to sample.
- Template:Nbt: Scales the X and Z before sampling.
- Template:Nbt: Scales the Y before sampling.
- Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function — offset of the position in the X direction.
- Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function — offset of the position in the Y direction.
- Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function — offset of the position in the Z direction.

sign

Computes the sign of the given input. If positive, it returns as 1. If the input is 0, it returns 0. If negative, it returns as -1.Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, sign).
- Template:Nbt: the value for which to compute the sign.

slice

Removes a dimension from the input domain by taking a "slice" along an axis with a specific coordinate (e.g. with the axis equaling y and the coordinate of 0, a slice will be taken along the XZ plane, with all values sampled at y=0).Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, slice).
- Template:Nbt: Template:Cd, Template:Cd, or Template:Cd; the axis to remove.
- Template:Nbt: The fixed coordinate to be passed to the input function.
- Template:Nbt: The input function.

spline

Computes a cubic spline.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, spline).
- Template:NbtTemplate:Nbt: The spline. Can be either a number or an object.
  - Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function — Input determining the location on the spline.
  - Template:Nbt: (Cannot be empty) List of points of the cubic spline.
    - Template:Nbt: A point of the cubic spline.
      - Template:Nbt: The location of this point.
      - Template:Nbt Template:Nbt: The value of this point. Can be either a number or a spline object.
      - Template:Nbt: The slope at this point.

sqrt

Computes the square root of the given input.Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, sqrt).
- Template:Nbt: the value for which to compute the square root.

truncate

Rounds the input value to 0.Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, truncate).
- Template:Nbt: The input to round.
- Template:Nbt: The output will be rounded to an integer multiple of this value. If not specified, it defaults to a constant 1.

y_clamped_gradient

Renamed to Template:Cd.Template:Upcoming Clamps the Y coordinate between from_y and to_y and then linearly maps it to a range.Template:Until / Clamps the given coordinate and maps the gradient to a range.Template:Upcoming

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, y_clamped_gradientTemplate:Until / gradientTemplate:Upcoming).
- Template:Nbt Template:Upcoming: Template:Cd, Template:Cd. or Template:Cd: The axis over which to define the gradient .
- Template:NbtTemplate:Upcoming:
  - Template:Nbt: outside the gradient boundaries, the value at the nearest boundary will be used.
  - Template:Nbt: The gradient will be repeated outside its boundaries.
  - Template:Nbt: The gradient will be repeated as such that odd repetitions are mirrored, ensuring continuity between repetitions.
- Template:Nbt Template:Until / Template:Nbt Template:Upcoming: The value to be mapped to from_value. Value between −4064 and 4062 (both inclusive).Template:Until The coordinate at which the gradient starts.Template:Upcoming
- Template:Nbt Template:Until / Template:Nbt Template:Upcoming: The value to be mapped to to_value. Value between −4064 and 4062 (both inclusive).Template:Until The coordinate at which the gradient ends. It must not equal Template:Cd.Template:Upcoming
- Template:Nbt Template:Until / Template:Nbt Template:Upcoming: The value to map from_y to. Value between −1000000.0 and 1000000.0 (both inclusive).Template:Until / The value at which the gradient starts.Template:Upcoming
- Template:Nbt Template:Until / Template:Nbt Template:Upcoming: The value to map to_y to. Value between −1000000.0 and 1000000.0 (both inclusive).Template:Until / The value at which the gradient ends.Template:Upcoming

Removed density functions

Template:Outdated

slide

Removed in Minecraft:22w12a

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, slide).
- Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function

The legacy "spline"

Removed in Minecraft:22w11a

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, spline).
- Template:NbtTemplate:Nbt: The spline. Can be either a number or an object.
  - Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function — Input determining the location on the spline.
  - Template:Nbt: (Cannot be empty) List of points of the cubic spline.
    - Template:Nbt: The location of this point.
    - Template:Nbt Template:Nbt: The value of this point. Can be either a number or a spline object.
    - Template:Nbt: The slope at this point.
- Template:Nbt: The min value of the output. Value between −1000000.0 and 1000000.0 (both inclusive).
- Template:Nbt: The max value of the output. Value between −1000000.0 and 1000000.0 (both inclusive).

terrain_shaper_spline

Removed in Minecraft:22w11a

Calculate the spline from the noise settings.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, terrain_shaper_spline).
- Template:Nbt: Can be offset, factor, orjaggedness.
- Template:Nbt: The min value of the output. Value between −1000000.0 and 1000000.0 (both inclusive).
- Template:Nbt: The max value of the output. Value between −1000000.0 and 1000000.0 (both inclusive).
- Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function
- Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function
- Template:Nbt Template:Nbt Template:Nbt: Template:Json ref/density function

weird_scaled_sampler

Removed in Minecraft:26.2-snap5

According to the input value, scales and enhances (or weakens) some regions of the specified noise, and then returns the absolute value.

Template:Nbt: Root object.
- Template:Nbt: The ID of the density function type (in this case, weird_scaled_sampler).
- Template:Nbt: Can be type_1（The minimum scale is 0.75, and the maximum is 2.0）or type_2（The minimum scale is 0.5, and the maximum is 3.0.)
- Template:Nbt: Template:Json ref — The noise to sample.
- Template:Nbt Template:Nbt Template:Nbt: The input density function. Can be an ID of a density function, or a density function in the form of a JSON object or a constant number.

History

Template:HistoryTable

Issues

Template:Issue list

References

Template:Reflist

External links

Density Function Generator on misode.github.io

Navigation

Template:Navbox Java Edition technical

Minecraft:de:Dichtefunktion Minecraft:fr:Fonction de densité Minecraft:ko:밀도 함수 Minecraft:pt:Função de densidade Minecraft:zh:密度函数

@@ Line 100: / Line 100: @@
 === invert ===
-Named {{cd|reciprocal}}.{{upcoming|JE 26.3}}
+Renamed to {{cd|reciprocal}}.{{upcoming|JE 26.3}}
 Inverts the input (<code>1/x</code>).
 <div class="treeview">
 * {{nbt|compound}}: Root object.
-** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>invert</code>).
+** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>invert</code>{{until|JE 26.3}} / <code>reciprocal</code>{{upcoming|JE 26.3}}).
 ** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input of the calculation.
 </div>
@@ Line 243: / Line 243: @@
 ** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>constant</code>).
 ** {{Nbt|double|argument}}{{until|JE 26.3}} / {{nbt|double|value}}{{upcoming|JE 26.3}}: A constant value. Value between −1000000.0 and 1000000.0 (both inclusive).
+</div>
+=== distance_to_point ===
+Computes the distance to a fixed point using the specified distance function.{{upcoming|JE 26.3}}
+<div class="treeview">
+* {{nbt|compound}}: Root object.
+** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>distance_to_point</code>).
+** {{nbt|int-array|point}}: {{cd|[x, y, z]}}; the point to compute distance to
+** {{nbt|string|metric}}:
+*** {{nbt|string|euclidean}}: (i.e. {{cd|sqrt(dx^2 + dy^2 + dz^2)}})
+*** {{nbt|string|euclidean_squared}}: (i.e. {{cd|dx^2 + dy^2 + dz^2}})
+*** {{nbt|string|manhattan}}: (i.e. {{cd|abs(dx) + abs(dy) + abs(dz)}})
+*** {{nbt|string|chebyshev}}: (i.e. {{cd|max(abs(dx), abs(dy), abs(dz))}})
 </div>
 === end_islands ===
+Renamed to {{cd|end_outer_islands}}.{{upcoming|JE 26.3}}
 Samples at current position using a noise algorithm used for end islands. Its minimum value is −0.84375 and its maximum value is 0.5625.
 <div class="treeview">
 * {{nbt|compound}}: Root object.
-** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>end_islands</code>).
+** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>end_islands</code>{{until|JE 26.3}} / <code>end_outer_islands</code>{{upcoming|JE 26.3}}).
 </div>
@@ Line 271: / Line 286: @@
 ** {{nbt|int|input}}: The input to round.
 ** {{nbt|int|multiple}}: The output will be rounded to an integer multiple of this value. If not specified, it defaults to a constant 1.
+</div>
+=== log ===
+Computes the natural logarithm of the given input.{{upcoming|JE 26.3}}
+<div class="treeview">
+* {{nbt|compound}}: Root object.
+** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>log</code>).
+** {{nbt|int|input}}: the value for which to compute the natural logarithm.
 </div>
@@ Line 311: / Line 335: @@
 ** {{Nbt|double|y_factor}}: Value between 0.001 and 1000.0 (both inclusive).
 ** {{Nbt|double|smear_scale_multiplier}}: Value between 1.0 and 8.0 (both inclusive).
+</div>
+=== pow ===
+Raises the given base value to an exponent.{{upcoming|JE 26.3}}
+<div class="treeview">
+* {{nbt|compound}}: Root object.
+** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>pow</code>).
+** {{nbt|int|base}}: the base value.
+** {{nbt|int|exponent}}: the exponent.
 </div>
@@ Line 370: / Line 404: @@
 ** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|shift_y}}: {{json ref/density function}} &mdash; offset of the position in the Y direction.
 ** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|shift_z}}: {{json ref/density function}} &mdash; offset of the position in the Z direction.
+</div>
+=== sign ===
+Computes the sign of the given input.  If positive, it returns as 1. If the input is 0, it returns 0. If negative, it returns as -1.{{upcoming|JE 26.3}}
+<div class="treeview">
+* {{nbt|compound}}: Root object.
+** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>sign</code>).
+** {{nbt|int|input}}: the value for which to compute the sign.
+</div>
+=== slice ===
+Removes a dimension from the input domain by taking a "slice" along an axis with a specific coordinate (e.g. with the axis equaling y and the coordinate of 0, a slice will be taken along the XZ plane, with all values sampled at y=0).{{upcoming|JE 26.3}}
+<div class="treeview">
+* {{nbt|compound}}: Root object.
+** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>slice</code>).
+** {{nbt|int|axis}}: {{cd|x}}, {{cd|y}}, or {{cd|z}}; the axis to remove.
+** {{nbt|int|coordinate}}: The fixed coordinate to be passed to the input function.
+** {{nbt|int|input}}: The input function.
 </div>
@@ Line 384: / Line 438: @@
 ***** {{Nbt|float}}{{Nbt|compound|value}}: The value of this point. Can be either a number or a spline object.
 ***** {{Nbt|float|derivative}}: The slope at this point.
+</div>
+=== sqrt ===
+Computes the square root of the given input.{{upcoming|JE 26.3}}
+<div class="treeview">
+* {{nbt|compound}}: Root object.
+** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>sqrt</code>).
+** {{nbt|int|input}}: the value for which to compute the square root.
 </div>
@@ Line 397: / Line 460: @@
 === y_clamped_gradient ===
-Clamps the Y coordinate between <code>from_y</code> and <code>to_y</code> and then linearly maps it to a range.
+Renamed to {{cd|gradient}}.{{upcoming|JE 26.3}}
+Clamps the Y coordinate between <code>from_y</code> and <code>to_y</code> and then linearly maps it to a range.{{until|JE 26.3}} / Clamps the given coordinate and maps the gradient to a range.{{upcoming|JE 26.3}}
 <div class="treeview">
 * {{nbt|compound}}: Root object.
-** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>y_clamped_gradient</code>).
+** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>y_clamped_gradient</code>{{until|JE 26.3}} / <code>gradient</code>{{upcoming|JE 26.3}}).
-** {{Nbt|int|from_y}}: The value to be mapped to <code>from_value</code>. Value between −4064 and 4062 (both inclusive).
+** {{nbt|short|axis}}{{upcoming|JE 26.3}}: {{cd|x}}, {{cd|y}}. or {{cd|z}}: The axis over which to define the gradient .
-** {{Nbt|int|to_y}}: The value to be mapped to <code>to_value</code>. Value between −4064 and 4062 (both inclusive).
+** {{nbt|string|tilling}}{{upcoming|JE 26.3}}:
-** {{Nbt|double|from_value}}: The value to map <code>from_y</code> to. Value between −1000000.0 and 1000000.0 (both inclusive).
+*** {{nbt|int|clamp_to_edge}}: outside the gradient boundaries, the value at the nearest boundary will be used.
-** {{Nbt|double|to_value}}: The value to map <code>to_y</code> to. Value between −1000000.0 and 1000000.0 (both inclusive).
+*** {{nbt|string|repeat}}: The gradient will be repeated outside its boundaries.
+*** {{nbt|string|mirrored_repeat}}: The gradient will be repeated as such that odd repetitions are mirrored, ensuring continuity between repetitions.
+** {{Nbt|int|from_y}}{{until|JE 26.3}} / {{nbt|int|from_coordinate}}{{upcoming|JE 26.3}}: The value to be mapped to <code>from_value</code>. Value between −4064 and 4062 (both inclusive).{{until|JE 26.3}} The coordinate at which the gradient starts.{{upcoming|JE 26.3}}
+** {{Nbt|int|to_y}}{{until|JE 26.3}} / {{nbt|int|to_coordinate}}{{upcoming|JE 26.3}}: The value to be mapped to <code>to_value</code>. Value between −4064 and 4062 (both inclusive).{{until|JE 26.3}} The coordinate at which the gradient ends. It must not equal {{cd|from_coordinate}}.{{upcoming|JE 26.3}}
+** {{Nbt|double|from_value}}{{until|JE 26.3}} / {{nbt|float|from_value}}{{upcoming|JE 26.3}}: The value to map <code>from_y</code> to. Value between −1000000.0 and 1000000.0 (both inclusive).{{until|JE 26.3}} / The value at which the gradient starts.{{upcoming|JE 26.3}}
+** {{Nbt|double|to_value}}{{until|JE 26.3}} / {{nbt|float|to_value}}{{upcoming|JE 26.3}}: The value to map <code>to_y</code> to. Value between −1000000.0 and 1000000.0 (both inclusive).{{until|JE 26.3}} / The value at which the gradient ends.{{upcoming|JE 26.3}}
 </div>
@@ Line 502: / Line 571: @@
 |{{cd|invert}} has been renamed to {{cd|reciprocal}}.
 |Numerous {{cd|argument}} fields in density functions have been renamed.}}
+|{{HistoryLine|||dev=snap6|Added the following density functions:
+* {{cd|distance_to_point}}
+* {{cd|log}}
+* {{cd|pow}}
+* {{cd|sign}}
+* {{cd|slice}}
+* {{cd|sqrt}}
+|Renamed the following density functions:
+* {{cd|end_islands}} to {{cd|end_outer_islands}}
+* {{cd|y_clamped_gradient}} to {{cd|gradient}}
+}}
 }}