# min

Smallest element in array of fi objects

x = min(a)
x= min(a,[],dim)
[x,y] = min(___)
m = min(a,b)

## Description

example

x = min(a) returns the smallest elements along different dimensions of fi array a.

If a is a vector, min(a) returns the smallest element in a.

If a is a matrix, min(a) treats the columns of a as vectors, returning a row vector containing the minimum element from each column.

If a is a multidimensional array, min operates along the first nonsingleton dimension and returns an array of minimum values.

example

x= min(a,[],dim) returns the smallest elements along dimension dim.

example

[x,y] = min(___) finds the indices of the minimum values and returns them in array y, using any of the input arguments in the previous syntaxes. If the smallest value occurs multiple times, the index of the first occurrence is returned.

example

m = min(a,b) returns an array the same size as a and b with the smallest elements taken from a or b.

## Examples

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Create a fixed-point vector, and return the minimum value from the vector.

a = fi([1,5,4,9,2],1,16);
x = min(a)
x =

1

DataTypeMode: Fixed-point: binary point scaling
Signedness: Signed
WordLength: 16
FractionLength: 11

Create a matrix of fixed-point values.

a = fi(magic(4),1,16)
a =

16     2     3    13
5    11    10     8
9     7     6    12
4    14    15     1

DataTypeMode: Fixed-point: binary point scaling
Signedness: Signed
WordLength: 16
FractionLength: 10

Find the smallest element of each row by finding the minimum values along the second dimension.

x = min(a,[],2)
x =

2
5
6
1

DataTypeMode: Fixed-point: binary point scaling
Signedness: Signed
WordLength: 16
FractionLength: 10

The output, x, is a column vector that contains the smallest element of each row of a.

Create a fixed-point matrix.

a = fi(magic(4),1,16)
a =

16     2     3    13
5    11    10     8
9     7     6    12
4    14    15     1

DataTypeMode: Fixed-point: binary point scaling
Signedness: Signed
WordLength: 16
FractionLength: 10

Find the smallest element of each column.

x = min(a)
x =

4     2     3     1

DataTypeMode: Fixed-point: binary point scaling
Signedness: Signed
WordLength: 16
FractionLength: 10

The output, x, is a row vector that contains the smallest element of each column of a.

Find the index of each of the minimum elements.

[x,y] = min(a)
x =

4     2     3     1

DataTypeMode: Fixed-point: binary point scaling
Signedness: Signed
WordLength: 16
FractionLength: 10

y =

4     1     1     4

Create two fixed-point arrays of the same size.

a = fi([2.3,4.7,6;0,7,9.23],1,16);
b = fi([9.8,3.21,1.6;pi,2.3,1],1,16);

Find the minimum elements from a or b.

m = min(a,b)
m =

2.2998    3.2100    1.6001
0    2.2998    1.0000

DataTypeMode: Fixed-point: binary point scaling
Signedness: Signed
WordLength: 16
FractionLength: 11

m contains the smallest elements from each pair of corresponding elements in a and b.

Create a complex fixed-point vector, a.

a = fi([1+2i,2+i,3+8i,9+i],1,8)
a =

1.0000 + 2.0000i   2.0000 + 1.0000i   3.0000 + 8.0000i   9.0000 + 1.0000i

DataTypeMode: Fixed-point: binary point scaling
Signedness: Signed
WordLength: 8
FractionLength: 3

The function finds the smallest element of a complex vector by taking the element with the smallest magnitude.

abs(a)
ans =

2.2500    2.2500    8.5000    9.0000

DataTypeMode: Fixed-point: binary point scaling
Signedness: Signed
WordLength: 8
FractionLength: 3

In vector a, the smallest elements, at position 1 and 2, have a magnitude of 2.25. The min function returns the smallest element in output x, and the index of that element in output, y.

[x,y] = min(a)
x =

1.0000 + 2.0000i

DataTypeMode: Fixed-point: binary point scaling
Signedness: Signed
WordLength: 8
FractionLength: 3

y =

1

Although the elements at index 1 and 2 have the same magnitude, the index of the first occurrence of that value is always returned.

## Input Arguments

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fi input array, specified as a scalar, vector, matrix, or multidimensional array. The dimensions of a and b must match unless one is a scalar.

The min function ignores NaNs.

Data Types: fi|single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64

Complex Number Support: Yes

Second fi input array, specified as a scalar, vector, matrix, or multidimensional array. The dimensions of a and b must match unless one is a scalar.

The min function ignores NaNs.

Data Types: fi|single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64

Complex Number Support: Yes

Dimension to operate along, specified as a positive integer scalar. dim can also be a fi object. If you do not specify a value, the default value is the first array dimension whose size does not equal 1.

Data Types: fi|single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64

## Output Arguments

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Minimum values, returned as a scalar, vector, matrix, or multidimensional array. x always has the same data type as the input.

Indices of the minimum values in array x, returned as a scalar, vector, matrix, or multidimensional array. If the smallest value occurs more than once, then y contains the index to the first occurrence of the value. y is always of data type double.

Array of minimum values of a and b, returned as a scalar, vector, matrix, or multidimensional array.

## Algorithms

When a or b is complex, the min function returns the element with the smallest magnitude. If two magnitudes are equal, then min returns the first value. This behavior differs from how the builtin min function resolves ties between complex numbers.

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