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### 4.7 Automatic Conversion of Data Types

Many operators and functions can work with mixed data types. For example,

```uint8 (1) + 1
⇒ 2
```
```
```
```single (1) + 1
⇒ 2
```
```
```
```min (single (1), 0)
⇒ 0
```

where the results are respectively of types uint8, single, and single respectively. This is done for MATLAB compatibility. Valid mixed operations are defined as follows:

Mixed OperationResult
double OP singlesingle
double OP integerinteger
double OP chardouble
double OP logicaldouble
single OP integerinteger
single OP charsingle
single OP logicalsingle

When functions expect a double but are passed other types, automatic conversion is function-dependent:

```a = det (int8 ([1 2; 3 4]))
⇒ a = -2
class (a)
⇒ double
```
```
```
```a = eig (int8 ([1 2; 3 4]))
⇒ error: eig: wrong type argument 'int8 matrix'
```

When two operands are both integers but of different widths, then some cases convert them to the wider bitwidth, and other cases throw an error:

```a = min (int8 (100), int16 (200))
⇒ 100
class (a)
⇒ int16
```
```
```
```int8 (100) + int16 (200)
⇒ error: binary operator '+' not implemented
for 'int8 scalar' by 'int16 scalar' operations
```

For two integer operands, they typically need to both be signed or both be unsigned. Mixing signed and unsigned usually causes an error, even if they are of the same bitwidth.

```min (int16 (100), uint16 (200))
⇒ error: min: cannot compute min (int16 scalar, uint16 scalar)
```

In the case of mixed type indexed assignments, the type is not changed. For example,

```x = ones (2, 2);
x(1, 1) = single (2)
⇒ x = 2   1
1   1
```

where `x` remains of the double precision type.

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