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Minecraft:Density function: Difference between revisions

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{{Exclusive|java}}
{{Exclusive|java}}
{{needs update|Add "interval_select" function.}}
'''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 <code>data/<namespace>/worldgen/density_function</code>. They are referenced from the [[Minecraft:noise router]] in [[Minecraft:noise settings]].
'''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 <code>data/<namespace>/worldgen/density_function</code>. They are referenced from the [[Minecraft:noise router]] in [[Minecraft:noise settings]].


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== Marker functions ==
== Marker functions ==
=== interpolated ===
=== {{cd|cache_2d}} ===
Interpolates at each block in one cell based on the input density function value of some cells around. The size of each cell is <code>size_horizontal * 4</code> and <code>size_vertical * 4</code>. Used often in combination with <code>flat_cache</code>.
{{until|JE 26.3}}
Only computes the input density once per horizontal position.
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>cache_2d</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input to be cached.
</div>
 
=== {{cd|cache_all_in_cell}} ===
{{until|JE 26.3}}
Used by the game onto <code>final_density</code> and should not be referenced in data packs.
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>cache_all_in_cell</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input to be cached.
</div>
 
=== {{cd|cache_once}} ===
Renamed to {{cd|cache}}.{{upcoming|JE 26.3}} If this density function is referenced twice, it is only computed once per block position.
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>interpolated</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>cache_once</code>{{until|JE 26.3}} / <code>cache</code>{{upcoming|JE 26.3}}).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input to be interpolated.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}{{until|JE 26.3}} / {{nbt|double|input}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The input to be cached.
</div>
</div>


=== flat_cache ===
=== {{cd|flat_cache}} ===
{{until|JE 26.3}}
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 <code>interpolated</code>.
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 <code>interpolated</code>.
<div class="treeview">
<div class="treeview">
Line 37: Line 55:
</div>
</div>


=== cache_2d ===
=== {{cd|interpolated}} ===
Only computes the input density once per horizontal position.
Interpolates at each block in one cell based on the input density function value of some cells around. The size of each cell is <code>size_horizontal * 4</code> and <code>size_vertical * 4</code>. Used often in combination with <code>flat_cache</code>.
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>interpolated</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}{{until|JE 26.3}} / {{nbt|double|input}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The input to be interpolated.
** {{nbt|int|cell_size_xz}}{{upcoming|JE 26.3}}: Size in blocks of the interpolation grid cells on the X and Z axes. The number must not be negative.
** {{nbt|int|cell_size_y}}{{upcoming|JE 26.3}}: Size in blocks of the interpolation grid cells on the Y axis. The number must not be negative.
</div>
 
== Noise sampling functions ==
These density functions are used to sample [[Minecraft:Custom noise|noises]].
 
=== {{cd|noise}} ===
Samples a noise.
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>noise</code>).
** {{Nbt|string|noise}}: {{json ref|noise|Custom noise}} &mdash; The noise to sample.
** {{Nbt|double|xz_scale}}: Scales the X and Z before sampling.
** {{Nbt|double|y_scale}}: Scales the Y before sampling.
** {{nbt|double|shift_x}}{{upcoming|JE 26.3}}: Optional; A domain warp to apply on X. If not specified, no warping will be applied (equivalent to 0).
** {{nbt|double|shift_y}}{{upcoming|JE 26.3}}: Optional; A domain warp to apply on Y. If not specified, no warping will be applied (equivalent to 0).
** {{nbt|double|shift_z}}{{upcoming|JE 26.3}}: Optional; A domain warp to apply on Z. If not specified, no warping will be applied (equivalent to 0).
</div>
 
=== {{cd|old_blended_noise}} ===
Samples a legacy noise. {{Info needed}}
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>old_blended_noise</code>).
** {{Nbt|double|xz_scale}}: Value between 0.001 and 1000.0 (both inclusive).
** {{Nbt|double|y_scale}}: Value between 0.001 and 1000.0 (both inclusive).
** {{Nbt|double|xz_factor}}: Value between 0.001 and 1000.0 (both inclusive).
** {{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>
 
=== {{cd|shift}} ===
Samples a noise at <code>(x/4, y/4, z/4)</code>, then multiplies it by 4.
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>shift</code>).
** {{Nbt|string|argument}}{{until|JE 26.3}} / {{nbt|string|noise}}{{upcoming|JE 26.3}}: {{json ref|noise|Custom noise}} &mdash; The noise to sample.
</div>
 
=== {{cd|shift_a}} ===
Samples a noise at <code>(x/4, 0, z/4)</code>, then multiplies it by 4.
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>cache_2d</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>shift_a</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input to be cached.
** {{Nbt|string|argument}}{{until|JE 26.3}} / {{nbt|string|noise}}{{upcoming|JE 26.3}}: {{json ref|noise|Custom noise}} &mdash; The noise to sample.
</div>
</div>


=== cache_once ===
=== {{cd|shift_b}} ===
If this density function is referenced twice, it is only computed once per block position.
Samples a noise at <code>(z/4, x/4, 0)</code>, then multiplies it by 4.
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>cache_once</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>shift_b</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input to be cached.
** {{Nbt|string|argument}}{{until|JE 26.3}} / {{nbt|string|noise}}{{upcoming|JE 26.3}}: {{json ref|noise|Custom noise}} &mdash; The noise to sample.
</div>
</div>


=== cache_all_in_cell ===
=== {{cd|shifted_noise}} ===
Used by the game onto <code>final_density</code> and should not be referenced in data packs.
{{until|JE 26.3}}
Similar to <code>noise</code>, but first shifts the input coordinates.
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>cache_all_in_cell</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>shifted_noise</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input to be cached.
** {{Nbt|string|noise}}: {{json ref|noise|Custom noise}} &mdash; The noise to sample.
** {{Nbt|double|xz_scale}}: Scales the X and Z before sampling.
** {{Nbt|double|y_scale}}: Scales the Y before sampling.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|shift_x}}: {{json ref/density function}} &mdash; offset of the position in the X direction.
** {{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>
</div>


== Mapped density functions ==
== Mathematical density functions ==
=== abs ===
These density functions are used to perform mathematical operations.
 
=== {{cd|abs}} ===
Calculates the absolute value of the input density function.
Calculates the absolute value of the input density function.
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>abs</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>abs</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input of the calculation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}{{until|JE 26.3}} / {{nbt|double|input}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The input of the calculation.
</div>
 
=== {{cd|add}} ===
Adds two density functions together.
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>add</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument1}}{{until|JE 26.3}} / {{nbt|double|left}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The first input of the calculation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument2}}{{until|JE 26.3}} / {{nbt|double|right}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The second input of the calculation.
</div>
 
=== {{cd|ceil}} ===
Rounds the input value to positive infinity.{{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>ceil</code>).
** {{nbt|string}}{{nbt|double}}{{nbt|compound|input}}: Density Function to round.
** {{nbt|string}}{{nbt|double}}{{nbt|compound|multiple}}: The output will be rounded to an integer multiple of the value returned by this Density Function. If not specified, defaults to a constant 1.
</div>
</div>


=== square ===
=== {{cd|clamp}} ===
Squares the input. (<code>x^2</code>)
Clamps the input between two values.
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>square</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>clamp</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input of the calculation.
** {{nbt|string}}{{nbt|double}}{{nbt|compound|input}}: One density function &mdash; The input to clamp.
** {{Nbt|double|min}}: The lower bound. Value between −1000000.0 and 1000000.0 (both inclusive).
** {{Nbt|double|max}}: The upper bound. Value between −1000000.0 and 1000000.0 (both inclusive).
</div>
</div>


=== cube ===
=== {{cd|constant}} ===
Cubes the input (<code>x^3</code>).
A constant value.
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>cube</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>constant</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input of the calculation.
** {{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>
</div>


=== half_negative ===
=== {{cd|cube}} ===
If the input is negative, returns half of the input. Otherwise returns the input. (<code>x < 0 ? x/2 : x</code>)
Cubes the input (<code>x^3</code>).
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>half_negative</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>cube</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input of the calculation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}{{until|JE 26.3}} / {{nbt|double|input}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The input of the calculation.
</div>
</div>


=== quarter_negative ===
=== {{cd|div}} ===
If the input is negative, returns a quarter of the input. Otherwise returns the input. (<code>x < 0 ? x/4 : x</code>)
Performs division between two arguments.{{upcoming|JE 26.3}}
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>quarter_negative</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>div</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input of the calculation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|left}} &mdash; The left-hand side of the operation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|right}} &mdash; The right-hand side of the operation.
</div>
</div>


=== squeeze ===
=== {{cd|floor}} ===
First clamps the input between −1 and 1, then transforms it using x/2 - x*x*x/24.
Rounds the input value to negative infinity.{{upcoming|JE 26.3}}
 
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>squeeze</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>floor</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input of the calculation.
** {{nbt|string}}{{nbt|double}}{{nbt|compound|input}}: Density Function to round.
** {{nbt|string}}{{nbt|double}}{{nbt|compound|multiple}}: The output will be rounded to an integer multiple of the value returned by this Density Function. If not specified, defaults to a constant 1.
</div>
</div>


=== invert ===
=== {{cd|invert}} ===
Renamed to {{cd|reciprocal}}.{{upcoming|JE 26.3}}
Inverts the input (<code>1/x</code>).
Inverts the input (<code>1/x</code>).
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{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.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The input of the calculation.
</div>
</div>


== Functions with two arguments ==
=== {{cd|log}} ===
=== add ===
Computes the natural logarithm of the given input.{{upcoming|JE 26.3}}
Adds two density functions together.
 
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>add</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>log</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument1}}: {{json ref/density function}} &mdash; The first input of the calculation.
** {{nbt|string}}{{nbt|double}}{{nbt|compound|input}}: Density Function for which to compute the natural logarithm.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument2}}: {{json ref/density function}} &mdash; The second input of the calculation.
</div>
</div>


=== mul ===
=== {{cd|mul}} ===
Multiplies two inputs.
Multiplies two inputs.
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>mul</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>mul</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument1}}: {{json ref/density function}} &mdash; The first input of the calculation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument1}}{{until|JE 26.3}} / {{nbt|double|left}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The first input of the calculation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument2}}: {{json ref/density function}} &mdash; The second input of the calculation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument2}}{{until|JE 26.3}} / {{nbt|double|right}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The second input of the calculation.
</div>
</div>


=== min ===
=== {{cd|min}} ===
Returns the minimum of two inputs.
Returns the minimum of two inputs.
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>min</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>min</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument1}}: {{json ref/density function}} &mdash; The first input of the calculation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument1}}{{until|JE 26.3}} / {{nbt|double|left}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The first input of the calculation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument2}}: {{json ref/density function}} &mdash; The second input of the calculation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument2}}{{until|JE 26.3}} / {{nbt|double|right}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The second input of the calculation.
</div>
</div>


=== max ===
=== {{cd|max}} ===
Returns the maximum of two inputs.
Returns the maximum of two inputs.
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>max</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>max</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument1}}: {{json ref/density function}} &mdash; The first input of the calculation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument1}}{{until|JE 26.3}} / {{nbt|double|left}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The first input of the calculation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument2}}: {{json ref/density function}} &mdash; The second input of the calculation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument2}}{{until|JE 26.3}} / {{nbt|double|right}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The second input of the calculation.
</div>
</div>


== Other density functions ==
=== {{cd|negate}} ===
=== blend_alpha ===
Negates the input.{{upcoming|JE 26.3}}
Used in vanilla for smooth transition to chunks generated in old versions.{{Info needed}}
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>blend_alpha</code>).
** {{nbt|string|type}}: The ID of the density function type (in this case, <code>negate</code>).
** {{nbt|string}}{{nbt|double}}{{nbt|compound|input}}: Density Function to negate.
</div>
</div>


=== blend_offset ===
=== {{cd|pow}} ===
Used in vanilla for smooth transition to chunks generated in old versions.{{Info needed}}
Raises the given base value to an exponent.{{upcoming|JE 26.3}}
 
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>blend_offset</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>pow</code>).
** {{nbt|string}}{{nbt|double}}{{nbt|compound|base}}: the base value (Density Function).
** {{nbt|string}}{{nbt|double}}{{nbt|compound|exponent}}: the exponent (Density Function).
</div>
</div>


=== blend_density ===
=== {{cd|round}} ===
Used in vanilla for smooth transition to chunks generated in old versions.{{Info needed}}
Rounds the input value to to the nearest integer (ties round up).{{upcoming|JE 26.3}}
 
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>blend_density</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>round</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}: {{json ref/density function}} &mdash; The desired density of new chunks.
** {{nbt|string}}{{nbt|double}}{{nbt|compound|input}}: Density Function to round.
** {{nbt|string}}{{nbt|double}}{{nbt|compound|multiple}}: The output will be rounded to an integer multiple of the value returned by this Density Function. If not specified, defaults to a constant 1.
</div>
</div>


=== beardifier ===
=== {{cd|sub}} ===
Adds beards for structures (see the <code>terrain_adaptation</code> field in [[Minecraft:Structure/JSON format|structures]]). Its value is added to the <code>final_density</code> in noise setting by the game. Should not be referenced in data packs.
Performs subtraction between two arguments.{{upcoming|JE 26.3}}
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>beardifier</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>sub</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|left}} &mdash; The left-hand side of the operation.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|right}} &mdash; The right-hand side of the operation.
</div>
</div>


=== old_blended_noise ===
=== {{cd|sign}} ===
Samples a legacy noise. {{Info needed}}
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">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>old_blended_noise</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>sign</code>).
** {{Nbt|double|xz_scale}}: Value between 0.001 and 1000.0 (both inclusive).
** {{nbt|string}}{{nbt|double}}{{nbt|compound|input}}: Density Function for which to compute the sign.
** {{Nbt|double|y_scale}}: Value between 0.001 and 1000.0 (both inclusive).
** {{Nbt|double|xz_factor}}: Value between 0.001 and 1000.0 (both inclusive).
** {{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>
</div>


=== noise ===
=== {{cd|sqrt}} ===
Samples a [[Minecraft:Custom_noise|noise]].
Computes the square root of the given input.{{upcoming|JE 26.3}}
 
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>noise</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>sqrt</code>).
** {{Nbt|string|noise}}: {{json ref|noise|Custom noise}} &mdash; The noise to sample.
** {{nbt|string}}{{nbt|double}}{{nbt|compound|input}}: Density Function for which to compute the square root.
** {{Nbt|double|xz_scale}}: Scales the X and Z before sampling.
** {{Nbt|double|y_scale}}: Scales the Y before sampling.
</div>
</div>


=== end_islands ===
=== {{cd|square}} ===
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.
Squares the input. (<code>x^2</code>)
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{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>square</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}{{until|JE 26.3}} / {{nbt|double|input}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The input of the calculation.
</div>
</div>


=== shifted_noise ===
=== {{cd|truncate}} ===
Similar to <code>noise</code>, but first shifts the input coordinates.
Rounds the input value to 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>shifted_noise</code>).
** {{Nbt|string|noise}}: {{json ref|noise|Custom noise}} &mdash; The noise to sample.
** {{Nbt|double|xz_scale}}: Scales the X and Z before sampling.
** {{Nbt|double|y_scale}}: Scales the Y before sampling.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|shift_x}}: {{json ref/density function}} &mdash; offset of the position in the X direction.
** {{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>


=== range_choice ===
Computes the input value, and depending on that result returns one of two other density functions. Basically an if-then-else statement.
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>range_choice</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>truncate</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|input}}: {{json ref/density function}} &mdash; The value to compare
** {{nbt|string}}{{nbt|double}}{{nbt|compound|input}}: Density Function to round.
** {{Nbt|double|min_inclusive}}: The lower bound of the range. Value between −1000000.0 and 1000000.0 (both inclusive).
** {{nbt|string}}{{nbt|double}}{{nbt|compound|multiple}}: The output will be rounded to an integer multiple of the value returned by this Density Function. If not specified, defaults to a constant 1.
** {{Nbt|double|max_exclusive}}: The upper bound of the range. Value between −1000000.0 and 1000000.0 (both inclusive).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|when_in_range}}: {{json ref/density function}} &mdash; Used when the input is inside the range.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|when_out_of_range}}:  {{json ref/density function}} &mdash; Used when the input is outside the range.
</div>
</div>


=== shift_a ===
== Mapped density functions ==
Samples a noise at <code>(x/4, 0, z/4)</code>, then multiplies it by 4.
These density functions map a set of values onto another set of values.
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>shift_a</code>).
** {{Nbt|string|argument}}: {{json ref|noise|Custom noise}} &mdash; The noise to sample.
</div>


=== shift_b ===
=== {{cd|gradient}} ===
Samples a noise at <code>(z/4, x/4, 0)</code>, then multiplies it by 4.
[[File:Gradient tiling.png|thumb|Demonstration of the different tiling options for the {{cd|gradient}} density function{{upcoming|JE 26.3}}, using both an input range of -100 to 100 and an output range of -1 to 1.]]
Clamps the given coordinate and maps the gradient to a range.{{upcoming|JE 26.3}}
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>shift_b</code>).
** {{nbt|string|type}}: The ID of the density function type (in this case, <code>gradient</code>).
** {{Nbt|string|argument}}: {{json ref|noise|Custom noise}} &mdash; The noise to sample.
** {{nbt|string|axis}}: {{cd|x}}, {{cd|y}}. or {{cd|z}}: The axis over which to define the gradient .
** {{nbt|string|tiling}}: How the density function handles values outside the specified coordinate range. 3 options:
*** <code>clamp_to_edge</code>: outside the gradient boundaries, the value at the nearest boundary will be used.
*** <code>repeat</code>: The gradient will be repeated outside its boundaries.
*** <code>mirrored_repeat</code>: The gradient will be repeated as such that odd repetitions are mirrored, ensuring continuity between repetitions.
** {{nbt|int|from_coordinate}}{{upcoming|JE 26.3}}: The coordinate at which the gradient starts.
** {{nbt|int|to_coordinate}}: The coordinate at which the gradient ends. It must not equal {{cd|from_coordinate}}.
** {{nbt|float|from_value}}: The value at which the gradient starts.
** {{nbt|float|to_value}}: The value at which the gradient ends.
</div>
</div>


=== shift ===
=== {{cd|lerp}} ===
Samples a noise at <code>(x/4, y/4, z/4)</code>, then multiplies it by 4.
Performs (unclamped) linear interpolation between two arguments based on an alpha.{{upcoming|JE 26.3}} The returned value is: <code>first*(1-alpha) + second*alpha</code>
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>shift</code>).
** {{nbt|string|type}}: The ID of the density function type (in this case, <code>lerp</code>).
** {{Nbt|string|argument}}: {{json ref|noise|Custom noise}} &mdash; The noise to sample.
** {{nbt|string}}{{nbt|double}}{{nbt|compound|alpha}}: Density function representing the interpolation factor (e.g. 0 = first, 1 = second). Any value outside of {{cd|[0; 1]}} will extrapolate.
** {{nbt|string}}{{nbt|double}}{{nbt|compound|first}}: Density Function to use at {{cd|<nowiki>alpha=0</nowiki>}}.
** {{nbt|string}}{{nbt|double}}{{nbt|compound|second}}: Density Function to use at {{cd|<nowiki>alpha=1</nowiki>}}.
</div>
</div>


=== clamp ===
=== {{cd|squeeze}} ===
Clamps the input between two values.
First clamps the input between −1 and 1, then transforms it using x/2 - x*x*x/24.
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>clamp</code>).
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>squeeze</code>).
** {{Nbt|double}}{{Nbt|compound|input}}: One '''density function''' (a new {{Nbt|double}}{{Nbt|compound}} density function definition, an {{Nbt|string|}}[[Minecraft:resource location|ID]] is not allowed here<ref>{{cite bug|MC|252814|Clamp density function takes a direct input and doesn't allow a reference|date=June 11, 2022}}</ref>) &mdash; The input to clamp.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}{{until|JE 26.3}} / {{nbt|double|input}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The input of the calculation.
** {{Nbt|double|min}}: The lower bound. Value between −1000000.0 and 1000000.0 (both inclusive).
** {{Nbt|double|max}}: The upper bound. Value between −1000000.0 and 1000000.0 (both inclusive).
</div>
</div>


=== spline ===
=== {{cd|spline}} ===
Computes a cubic spline.
Computes a cubic spline.
<div class="treeview">
<div class="treeview">
Line 287: Line 376:
</div>
</div>


=== constant ===
=== {{cd|y_clamped_gradient}} ===
A constant value.
Replaced with {{cd|gradient}}.{{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>constant</code>).
** {{Nbt|double|argument}}: A constant value. Value between −1000000.0 and 1000000.0 (both inclusive).
</div>


=== 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.{{until|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.
<div class="treeview">
<div class="treeview">
* {{nbt|compound}}: Root object.
* {{nbt|compound}}: Root object.
Line 306: Line 389:
</div>
</div>


=== find_top_surface ===
== Conditional density functions ==
These density functions are used to apply "if-then" logic.
 
=== {{cd|half_negative}} ===
If the input is negative, returns half of the input. Otherwise returns the input. (<code>x < 0 ? x/2 : x</code>)
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>half_negative</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}{{until|JE 26.3}} / {{nbt|double|input}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The input of the calculation.
</div>
 
=== {{cd|interval_select}} ===
Selects between a number of density functions based on an input density function and a set of threshold values.
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>interval_select</code>).
** {{nbt|string}}{{nbt|double}}{{nbt|compound|input}}: Density Function to be compared with any given {{cd|thresholds}}.
** {{nbt|list|thresholds}}: (List of Floats) The threshold values to compare {{cd|input}} with.
*** If the input value is less than the threshold values, the result of {{cd|functions[i]}} 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 {{cd|thresholds}} than {{cd|functions}}.
** {{nbt|list|functions}}: The resulting functions (at least two) to be selected from.
*** There must be one more element in {{cd|functions}} than {{cd|thresholds}}.
</div>
 
=== {{cd|quarter_negative}} ===
If the input is negative, returns a quarter of the input. Otherwise returns the input. (<code>x < 0 ? x/4 : x</code>)
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>quarter_negative</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}{{until|JE 26.3}} / {{nbt|double|input}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The input of the calculation.
</div>
 
=== {{cd|range_choice}} ===
Computes the input value, and depending on that result returns one of two other density functions. Basically an if-then-else statement.
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>range_choice</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|input}}: {{json ref/density function}} &mdash; The value to compare
** {{Nbt|double|min_inclusive}}: The lower bound of the range. Value between −1000000.0 and 1000000.0 (both inclusive).
** {{Nbt|double|max_exclusive}}: The upper bound of the range. Value between −1000000.0 and 1000000.0 (both inclusive).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|when_in_range}}:  {{json ref/density function}} &mdash; Used when the input is inside the range.
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|when_out_of_range}}:  {{json ref/density function}} &mdash; Used when the input is outside the range.
</div>
 
== Other density functions ==
=== {{cd|beardifier}} ===
Adds beards for structures (see the <code>terrain_adaptation</code> field in [[Minecraft:Structure/JSON format|structures]]). Its value is added to the <code>final_density</code> in noise setting by the game. Should not be referenced in data packs.
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>beardifier</code>).
</div>
 
=== {{cd|blend_alpha}} ===
Used in vanilla for smooth transition to chunks generated in old versions.{{Info needed}}
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>blend_alpha</code>).
</div>
 
=== {{cd|blend_density}} ===
Used in vanilla for smooth transition to chunks generated in old versions.{{Info needed}}
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>blend_density</code>).
** {{Nbt|string}}{{Nbt|double}}{{Nbt|compound|argument}}{{until|JE 26.3}} / {{nbt|double|input}}{{upcoming|JE 26.3}}: {{json ref/density function}} &mdash; The desired density of new chunks.
</div>
 
=== {{cd|blend_offset}} ===
Used in vanilla for smooth transition to chunks generated in old versions.{{Info needed}}
<div class="treeview">
* {{nbt|compound}}: Root object.
** {{Nbt|string|type}}: The ID of the density function type (in this case, <code>blend_offset</code>).
</div>
 
=== {{cd|distance_to_point}} ===
[[File:Distance to point options.png|thumb|Demonstration of the different metric options for the {{cd|distance_to_point}} density function{{upcoming|JE 26.3}}, using the distance from the point (0, 0).]]
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>
 
=== {{cd|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>{{until|JE 26.3}} / <code>end_outer_islands</code>{{upcoming|JE 26.3}}).
</div>
 
=== {{cd|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 {{Nbt|int|lower_bound}} is returned.
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 {{Nbt|int|lower_bound}} is returned.
<div class="treeview">
<div class="treeview">
Line 315: Line 496:
** {{Nbt|int|lower_bound}}: The y-level to stop the scan.
** {{Nbt|int|lower_bound}}: The y-level to stop the scan.
** {{Nbt|int|cell_height}}: The resolution of the scan. E.g. if set to <code>4</code>, then only every 4th block is checked.
** {{Nbt|int|cell_height}}: The resolution of the scan. E.g. if set to <code>4</code>, then only every 4th block is checked.
</div>
=== {{cd|ore_vein}} ===
{{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>ore_vein</code>).
** {{nbt|string|ore_block}}: The ore block to place.
** {{nbt|string|raw_ore_block}}: The raw ore block to place.
** {{nbt|string|filler_block}}: The filler block to place.
** {{nbt|float|raw_ore_chance}}: The probability for a raw ore block to be placed instead of an ore block. Value between 0 and 1 (inclusive).
** {{nbt|int|density}}: The probability for the ore vein to replace a block. If the value is 0 or lower, no block will be replaced.
** {{nbt|int|richness}}: The probability for an ore block or a raw ore block to be placed, as opposed to {{cd|filler_block}}. If the value is 0 or lower, all blocks will be the filler block. If the value is 1 or greater, no blocks will be the filler block.
** {{nbt|int|filler_gap}}: Overrides {{cd|richness}}; if the value is positive, {{cd|filler_block}} will always be placed.
</div>
=== {{cd|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|string|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|string}}{{nbt|double}}{{nbt|compound|input}}: The input function.
</div>
</div>


Line 320: Line 526:
{{outdated|section=1}}
{{outdated|section=1}}


=== slide ===
=== {{cd|slide}} ===
Removed in [[Minecraft:22w12a]]
Removed in [[Minecraft:22w12a]]
<div class="treeview">
<div class="treeview">
Line 343: Line 549:
</div>
</div>


=== terrain_shaper_spline ===
=== {{cd|terrain_shaper_spline}} ===
Removed in [[Minecraft:22w11a]]
Removed in [[Minecraft:22w11a]]


Line 358: Line 564:
</div>
</div>


=== weird_scaled_sampler ===
=== {{cd|weird_scaled_sampler}} ===
Removed in [[Minecraft:26.2-snap5]]
Removed in [[Minecraft:26.2-snap5]]


Line 399: Line 605:
Added fields to {{cd|old_blended_noise}} density function: xz_scale, y_scale, xz_factor, y_factor, and smear_scale_multiplier.}}
Added fields to {{cd|old_blended_noise}} density function: xz_scale, y_scale, xz_factor, y_factor, and smear_scale_multiplier.}}
|{{HistoryLine||1.21.9|dev=25w31a|Added density functions {{cd|minecraft:find_top_surface}} and {{cd|minecraft:invert}}.}}
|{{HistoryLine||1.21.9|dev=25w31a|Added density functions {{cd|minecraft:find_top_surface}} and {{cd|minecraft:invert}}.}}
|{{HistoryLine||26.2|dev=snap5|Added density function {{cd|minecraft:interval_select}}.|Removed density function {{cd|minecraft:weird_scale_sampler}}. Its functionality has been replaced with {{cd|interval_select}}.}}
|{{HistoryLine||26.2|dev=snap1|Density function {{cd|minecraft:clamp}} can now take a density function ID as an input.}}
|{{HistoryLine|||dev=snap5|Added density function {{cd|minecraft:interval_select}}.|Removed density function {{cd|minecraft:weird_scale_sampler}}. Its functionality has been replaced with {{cd|interval_select}}.}}
|{{HistoryLine|java upcoming}}
|{{HistoryLine||26.3|dev=snap4|Added the following density functions:
* {{cd|ceil}}
* {{cd|div}}
* {{cd|floor}}
* {{cd|negate}}
* {{cd|lerp}}
* {{cd|round}}
* {{cd|sub}}
* {{cd|truncate}}
|{{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}}
|{{cd|end_islands}} has been renamed to {{cd|end_outer_islands}}.
|{{cd|y_clamped_gradient}} has been replaced with {{cd|gradient}}.
}}
|{{HistoryLine|||dev=snap7|Density functions are no longer evaluated with double-precision floating point values, but instead with single-precision.}}
|{{HistoryLine|||dev=snap10|Added the {{cd|ore_vein}} density function.
|{{cd|cache_once}} has been renamed to {{cd|cache}}.
|Added the {{cd|shift_x}}, {{cd|shift_y}}, and {{cd|shift_z}} fields to the {{cd|noise}} density function.
|Added the {{cd|cell_size_xz}} and {{cd|cell_size_y}} fields to the {{cd|interpolated}} density function.
|Removed the following density functions:
* {{cd|cache_2d}}
* {{cd|cache_all_in_cell}}
* {{cd|flat_cache}}
* {{cd|shifted_noise}}
}}
}}
}}


Latest revision as of 11:04, 8 September 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.

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

Template:Cd

Template:Until Only computes the input density once per horizontal position.

Template:Cd

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

Template:Cd

Renamed to Template:Cd.Template:Upcoming If this density function is referenced twice, it is only computed once per block position.

Template:Cd

Template:Until 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:Cd

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.

Noise sampling functions

These density functions are used to sample noises.

Template:Cd

Samples a noise.

Template:Cd

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).

Template:Cd

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

Template:Cd

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

Template:Cd

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

Template:Cd

Template:Until Similar to noise, but first shifts the input coordinates.

Mathematical density functions

These density functions are used to perform mathematical operations.

Template:Cd

Calculates the absolute value of the input density function.

Template:Cd

Adds two density functions together.

Template:Cd

Rounds the input value to positive infinity.Template:Upcoming

Template:Cd

Clamps the input between two values.

Template:Cd

A constant value.

Template:Cd

Cubes the input (x^3).

Template:Cd

Performs division between two arguments.Template:Upcoming

Template:Cd

Rounds the input value to negative infinity.Template:Upcoming

Template:Cd

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

Template:Cd

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

Template:Cd

Multiplies two inputs.

Template:Cd

Returns the minimum of two inputs.

Template:Cd

Returns the maximum of two inputs.

Template:Cd

Negates the input.Template:Upcoming

Template:Cd

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

Template:Cd

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

Template:Cd

Performs subtraction between two arguments.Template:Upcoming

Template:Cd

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:Cd

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

Template:Cd

Squares the input. (x^2)

Template:Cd

Rounds the input value to 0.Template:Upcoming

Mapped density functions

These density functions map a set of values onto another set of values.

Template:Cd

File:Gradient tiling.png
Demonstration of the different tiling options for the Template:Cd density functionTemplate:Upcoming, using both an input range of -100 to 100 and an output range of -1 to 1.

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, gradient).
    • Template:Nbt: Template:Cd, Template:Cd. or Template:Cd: The axis over which to define the gradient .
    • Template:Nbt: How the density function handles values outside the specified coordinate range. 3 options:
      • clamp_to_edge: outside the gradient boundaries, the value at the nearest boundary will be used.
      • repeat: The gradient will be repeated outside its boundaries.
      • mirrored_repeat: The gradient will be repeated as such that odd repetitions are mirrored, ensuring continuity between repetitions.
    • Template:NbtTemplate:Upcoming: The coordinate at which the gradient starts.
    • Template:Nbt: The coordinate at which the gradient ends. It must not equal Template:Cd.
    • Template:Nbt: The value at which the gradient starts.
    • Template:Nbt: The value at which the gradient ends.

Template:Cd

Performs (unclamped) linear interpolation between two arguments based on an alpha.Template:Upcoming The returned value is: first*(1-alpha) + second*alpha

Template:Cd

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

Template:Cd

Computes a cubic spline.

Template:Cd

Replaced with Template:Cd.Template:Upcoming

Clamps the Y coordinate between from_y and to_y and then linearly maps it to a range.Template:Until

  • Template:Nbt: Root object.
    • Template:Nbt: The ID of the density function type (in this case, y_clamped_gradient).
    • Template:Nbt: The value to be mapped to from_value. Value between −4064 and 4062 (both inclusive).
    • Template:Nbt: The value to be mapped to to_value. Value between −4064 and 4062 (both inclusive).
    • Template:Nbt: The value to map from_y to. Value between −1000000.0 and 1000000.0 (both inclusive).
    • Template:Nbt: The value to map to_y to. Value between −1000000.0 and 1000000.0 (both inclusive).

Conditional density functions

These density functions are used to apply "if-then" logic.

Template:Cd

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

Template:Cd

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

Template:Cd

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

Template:Cd

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

Other density functions

Template:Cd

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:Cd

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

Template:Cd

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

Template:Cd

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

Template:Cd

File:Distance to point options.png
Demonstration of the different metric options for the Template:Cd density functionTemplate:Upcoming, using the distance from the point (0, 0).

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

Template:Cd

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:Cd

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:Cd

Template:Upcoming

  • Template:Nbt: Root object.
    • Template:Nbt: The ID of the density function type (in this case, ore_vein).
    • Template:Nbt: The ore block to place.
    • Template:Nbt: The raw ore block to place.
    • Template:Nbt: The filler block to place.
    • Template:Nbt: The probability for a raw ore block to be placed instead of an ore block. Value between 0 and 1 (inclusive).
    • Template:Nbt: The probability for the ore vein to replace a block. If the value is 0 or lower, no block will be replaced.
    • Template:Nbt: The probability for an ore block or a raw ore block to be placed, as opposed to Template:Cd. If the value is 0 or lower, all blocks will be the filler block. If the value is 1 or greater, no blocks will be the filler block.
    • Template:Nbt: Overrides Template:Cd; if the value is positive, Template:Cd will always be placed.

Template:Cd

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

Removed density functions

Template:Outdated

Template:Cd

Removed in Minecraft:22w12a

The legacy "spline"

Removed in Minecraft:22w11a

Template:Cd

Removed in Minecraft:22w11a

Calculate the spline from the noise settings.

Template:Cd

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.

History

Template:HistoryTable

Issues

Template:Issue list

References

Template:Reflist

External links

Navigation

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