## Transformations

Transformations — Manipulating the current transformation matrix

## Functions

 void cairo_translate () void cairo_scale () void cairo_rotate () void cairo_transform () void cairo_set_matrix () void cairo_get_matrix () void cairo_identity_matrix () void cairo_user_to_device () void cairo_user_to_device_distance () void cairo_device_to_user () void cairo_device_to_user_distance ()

## Description

The current transformation matrix, ctm, is a two-dimensional affine transformation that maps all coordinates and other drawing instruments from the user space into the surface's canonical coordinate system, also known as the device space.

## Functions

### cairo_translate ()

```void
cairo_translate (`cairo_t *cr`,
`double tx`,
`double ty`);```

Modifies the current transformation matrix (CTM) by translating the user-space origin by (`tx` , `ty` ). This offset is interpreted as a user-space coordinate according to the CTM in place before the new call to `cairo_translate()`. In other words, the translation of the user-space origin takes place after any existing transformation.

#### Parameters

 cr a cairo context tx amount to translate in the X direction ty amount to translate in the Y direction

Since: 1.0

### cairo_scale ()

```void
cairo_scale (`cairo_t *cr`,
`double sx`,
`double sy`);```

Modifies the current transformation matrix (CTM) by scaling the X and Y user-space axes by `sx` and `sy` respectively. The scaling of the axes takes place after any existing transformation of user space.

#### Parameters

 cr a cairo context sx scale factor for the X dimension sy scale factor for the Y dimension

Since: 1.0

### cairo_rotate ()

```void
cairo_rotate (`cairo_t *cr`,
`double angle`);```

Modifies the current transformation matrix (CTM) by rotating the user-space axes by `angle` radians. The rotation of the axes takes places after any existing transformation of user space. The rotation direction for positive angles is from the positive X axis toward the positive Y axis.

#### Parameters

 cr a cairo context angle angle (in radians) by which the user-space axes will be rotated

Since: 1.0

### cairo_transform ()

```void
cairo_transform (`cairo_t *cr`,
`const cairo_matrix_t *matrix`);```

Modifies the current transformation matrix (CTM) by applying `matrix` as an additional transformation. The new transformation of user space takes place after any existing transformation.

#### Parameters

 cr a cairo context matrix a transformation to be applied to the user-space axes

Since: 1.0

### cairo_set_matrix ()

```void
cairo_set_matrix (`cairo_t *cr`,
`const cairo_matrix_t *matrix`);```

Modifies the current transformation matrix (CTM) by setting it equal to `matrix` .

#### Parameters

 cr a cairo context matrix a transformation matrix from user space to device space

Since: 1.0

### cairo_get_matrix ()

```void
cairo_get_matrix (`cairo_t *cr`,
`cairo_matrix_t *matrix`);```

Stores the current transformation matrix (CTM) into `matrix` .

#### Parameters

 cr a cairo context matrix return value for the matrix

Since: 1.0

### cairo_identity_matrix ()

```void
cairo_identity_matrix (`cairo_t *cr`);```

Resets the current transformation matrix (CTM) by setting it equal to the identity matrix. That is, the user-space and device-space axes will be aligned and one user-space unit will transform to one device-space unit.

#### Parameters

 cr a cairo context

Since: 1.0

### cairo_user_to_device ()

```void
cairo_user_to_device (`cairo_t *cr`,
`double *x`,
`double *y`);```

Transform a coordinate from user space to device space by multiplying the given point by the current transformation matrix (CTM).

#### Parameters

 cr a cairo context x X value of coordinate (in/out parameter) y Y value of coordinate (in/out parameter)

Since: 1.0

### cairo_user_to_device_distance ()

```void
cairo_user_to_device_distance (`cairo_t *cr`,
`double *dx`,
`double *dy`);```

Transform a distance vector from user space to device space. This function is similar to `cairo_user_to_device()` except that the translation components of the CTM will be ignored when transforming (`dx` ,`dy` ).

#### Parameters

 cr a cairo context dx X component of a distance vector (in/out parameter) dy Y component of a distance vector (in/out parameter)

Since: 1.0

### cairo_device_to_user ()

```void
cairo_device_to_user (`cairo_t *cr`,
`double *x`,
`double *y`);```

Transform a coordinate from device space to user space by multiplying the given point by the inverse of the current transformation matrix (CTM).

#### Parameters

 cr a cairo x X value of coordinate (in/out parameter) y Y value of coordinate (in/out parameter)

Since: 1.0

### cairo_device_to_user_distance ()

```void
cairo_device_to_user_distance (`cairo_t *cr`,
`double *dx`,
`double *dy`);```

Transform a distance vector from device space to user space. This function is similar to `cairo_device_to_user()` except that the translation components of the inverse CTM will be ignored when transforming (`dx` ,`dy` ).

#### Parameters

 cr a cairo context dx X component of a distance vector (in/out parameter) dy Y component of a distance vector (in/out parameter)

Since: 1.0