**Syntax:**

compute ID reduce mode input1 input2 ... keyword args ...

- ID is documented in compute command
- reduce = style name of this compute command
- mode =
*sum*or*min*or*max*or*ave*or*sumsq*or*avesq*or (sum-area) or*ave-area* - one or more inputs can be listed
- input = x, y, z, vx, vy, vz, ke, erot, evib, c_ID, c_ID[N], f_ID, f_ID[N], v_name
x,y,z,vx,vy,vz = particle position or velocity component ke,erot,evib = particle energy component c_ID = per-particle or per-grid vector calculated by a compute with ID c_ID[I] = Ith column of per-particle or per-grid array calculated by a compute with ID, I can include wildcard (see below) f_ID = per-particle or per-grid or per-surf vector calculated by a fix with ID f_ID[I] = Ith column of per-particle or per-grid or per-surf array calculated by a fix with ID, I can include wildcard (see below) v_name = per-particle or per-grid vector calculated by a particle-style or grid-style variable with name

- zero or more keyword/args pairs may be appended
- keyword =
*replace*or*subset**replace*args = vec1 vec2 vec1 = reduced value from this input vector will be replaced vec2 = replace it with vec1[N] where N is index of max/min value from vec2*subset*arg = subsetID subsetID = mixture-ID or grid group-ID or surface group-ID

**Examples:**

compute 1 reduce sum c_grid[*] compute 2 reduce min f_ave v_myKE subset trace_species compute 3 reduce max c_mine[1] c_mine[2] c_temp replace 1 3 replace 2 3

These commands will include the average grid cell temperature, across all grid cells, in the stats output:

compute 1 temp compute 2 grid all all temp compute 3 reduce ave c_2[1] stats_style step c_temp c_3

**Description:**

Define a calculation that "reduces" one or more vector inputs into scalar values, one per listed input. The inputs can be per-particle or per-grid or per-surf quantities; they cannot be global quantities. Particle attributes are per-particle quantities, computes may generate per-particle or per-grid quantities, fixes may generate any of the three kinds of quantities, and particle-style or grid-style variables generate per-particle or per-grid quantities. See the variable command and its special functions which can perform the same operations as the compute reduce command on global vectors.

IMPORTANT NOTE: All inputs to a compute reduce command must be the same type: per-particle, per-grid, or per-surf. You can use the command multiple times if you need to reduce values of different types.

The reduction operation is specified by the *mode* setting. The *sum*
option adds the values in the vector into a global total. The *min*
or *max* operations find the minimum or maximum value across all
vector values. The *ave* operation adds the vector values into a
global total, then divides by the number of values in the vector. The
*sumsq* operation sums the square of the values in the vector into a
global total. The *avesq* oepration does the same as *sumsq*, then
divdes the sum of squares by the number of values. These two
operations can be useful for calculating the variance of some
quantity, e.g. variance = sumsq - ave^2.

The *sum-area* or *ave-area* options can only be used for per-surf
inputs. Both options multiply each per-surf value by the area of the
surface element (triangle in 3d, line segment in 2d) and sum the
resulting values over all surface elements. That is the output for
the *sum-area* option. For the *ave-area* option the summed value is
divided by the summed area of all elements. Note that both of these
options are designed to work with flux values (e.g. mass per area per
time) produced by the compute surf command with
its default *norm* = yes option.

Each listed input vector is operated on independently.

Each listed input vector can be a particle attribute or can be the result of a compute or fix or the evaluation of a variable.

Note that for values from a compute or fix, the bracketed index I can
be specified using a wildcard asterisk with the index to effectively
specify multiple values. This takes the form "*" or "*n" or "n*" or
"m*n". If N = the size of the vector (for *mode* = scalar) or the
number of columns in the array (for *mode* = vector), then an asterisk
with no numeric values means all indices from 1 to N. A leading
asterisk means all indices from 1 to n (inclusive). A trailing
asterisk means all indices from n to N (inclusive). A middle asterisk
means all indices from m to n (inclusive).

Using a wildcard is the same as if the individual columns of the array had been listed one by one. E.g. these 2 compute reduce commands are equivalent, since the compute grid command creates a per-grid array with 3 columns:

compute myGrid grid all all u v w compute 2 all reduce min c_myGrid[*] compute 2 all reduce min c_myGrid[1] c_myGrid[2] c_myGrid[3]

The particle attributes x,y,z,vx,vy,vz are position and velocity components. The ke,erot,evib attributes are for kinetic, rotational, and vibrational energy of particles.

If a value begins with "c_", a compute ID must follow which has been previously defined in the input script. Computes can generate per-particle or per-grid quantities. See the individual compute doc page for details. If no bracketed integer is appended, the vector calculated by the compute is used. If a bracketed integer is appended, the Ith column of the array calculated by the compute is used. Users can also write code for their own compute styles and add them to SPARTA. See the discussion above for how I can be specified with a wildcard asterisk to effectively specify multiple values.

IMPORTANT NOTE: A compute which generates per-surf quantities cannot
be used as input. This is because its values have not yet been
combined across processors to sum the contributions from all
processors whose particles collide with the same surface element. The
combining is performed by the fix ave/surf
command, at each of its *Nfreq* timesteps. Thus to use this compute
on per-surf values, specify a fix ID for a fix
ave/surf and insure the fix outputs its values when
they are needed.

If a value begins with "f_", a fix ID must follow which has been previously defined in the input script. Fixes can generate per-particle or per-grid or per-surf quantities. See the individual fix doc page for details. Note that some fixes only produce their values on certain timesteps, which must be compatible with when this compute references the values, else an error results. If no bracketed integer is appended, the vector calculated by the fix is used. If a bracketed integer is appended, the Ith column of the array calculated by the fix is used. Users can also write code for their own fix style and add them to SPARTA. See the discussion above for how I can be specified with a wildcard asterisk to effectively specify multiple values.

If a value begins with "v_", a variable name must follow which has been previously defined in the input script. It must be a particle-style or grid-style variable. Both styles define formulas which can reference stats keywords or invoke other computes, fixes, or variables when they are evaluated. Particle-style variables can also reference various per-particle attributes (position, velocity, etc). So these variables are a very general means of creating per-particle or per-grid quantities to reduce.

If the *replace* keyword is used, two indices *vec1* and *vec2* are
specified, where each index ranges from 1 to the # of input values.
The replace keyword can only be used if the *mode* is *min* or *max*.
It works as follows. A min/max is computed as usual on the *vec2*
input vector. The index N of that value within *vec2* is also stored.
Then, instead of performing a min/max on the *vec1* input vector, the
stored index is used to select the Nth element of the *vec1* vector.

Here is an example which prints out both the grid cell ID and number of particles for the grid cell with the maximum number of particles:

compute 1 property/grid id compute 2 grid all n compute 3 reduce max c_1 c_2[1] replace 1 2 stats_style step c_temp c_3[1] c_3[2]

The first two input values in the compute reduce command are vectors
with the ID and particle count of each grid cell. Instead of taking
the max of the ID vector, which does not yield useful information in
this context, the *replace* keyword will extract the ID for the grid
cell which has the maximum number of particles. This ID and the
cell's particle count will be printed with the statistical output.

Note that the *replace* keyword can be used multiple times with
different pairs of indices.

The *subset* keyword allows selection of a subset of each input
vectors quantities to be used for the reduce operation. This may
affect all of the reduction operations. E.g. the ave and avesq
operations will become averages for only a subset of numerical values.

If inputs are per-particle values, then a mixture ID should be specified. Only particle species belonging to the mixture will be included in the calculations. See the mixture command for how a set of species is included in a mixture.

If inputs are per-grid values, then a grid group ID should be specified. Only grid cells in the grid group will be included in the calculations. See the group grid command for info on how grid cells can be assigned to grid groups.

If inputs are per-surface values, then a surface group ID should be specified. Only surface elements in the surface group will be included in the calculations. See the group surf command for info on how surface elements can be assigned to surface groups.

IMPORTANT NOTE: If computes or fixes are used as inputs to compute
reduce, they may define their own subsets of particles, grid cells, or
surface elements which contribute to their output. E.g. grid cells not
in the grid group used by the compute grid command
have zero values as output. You typically should use an argument for
the *subset* keyword which is consistent with the inputs, but that is
not required.

If a single input is specified this compute produces a global scalar value. If multiple inputs are specified, this compute produces a global vector of values, the length of which is equal to the number of inputs specified.

**Output info:**

This compute calculates a global scalar if a single input value is specified or a global vector of length N where N is the number of inputs, and which can be accessed by indices 1 to N. These values can be used by any command that uses global scalar or vector values from a compute as input. See Section 6.4 for an overview of SPARTA output options.

The scalar or vector values will be in whatever units the quantities being reduced are in.

**Restrictions:** none

**Related commands:**

**Default:** none