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# basetypes.h File Reference

Basic types for representing data in VRML/X3D worlds (color, rotations, vectors, etc.). More...

`#include <openvrml-common.h>`
`#include <cassert>`
`#include <cstddef>`
`#include <algorithm>`
`#include <iosfwd>`
`#include <vector>`
`#include <boost/cstdint.hpp>`
Include dependency graph for basetypes.h:
This graph shows which files directly or indirectly include this file:

## Classes
struct | openvrml::color
| A POD-struct comprising a color. More...
struct | openvrml::color_rgba
| A POD-struct comprising a color with an alpha channel. More...
struct | openvrml::vec2f
| A POD-struct comprising a two-component single-precision vector. More...
struct | openvrml::vec2d
| Two-component double-precision vector. More...
struct | openvrml::vec3f
| Three-component single-precision vector. More...
struct | openvrml::vec3d
| A POD-struct comprising a three-component double-precision vector. More...
struct | openvrml::rotation
| A POD-struct comprising a rotation. More...
struct | openvrml::mat4f
| A POD-struct comprising a 4x4 matrix. More...
struct | openvrml::quatf
| A POD-struct comprising a quaternion. More...
class | openvrml::image
| Pixmap data. More...
## Namespaces
namespace | openvrml

| The OpenVRML Runtime Library.
namespace | std

| STL namespace.
## Typedefs
typedef boost::int32_t | openvrml::int32
| 32-bit signed integer.
## Functions
const color | openvrml::make_color () throw ()
| Create a zero-initialized color.
const color | openvrml::make_color (const float(&rgb)[3]) throw ()
| Create a color.
const color | openvrml::make_color (float r, float g, float b) throw ()
| Create a color.
bool | openvrml::operator== (const color &lhs, const color &rhs) throw ()
| Compare for equality.
bool | openvrml::operator!= (const color &lhs, const color &rhs) throw ()
| Compare for inequality.
std::istream & | openvrml::operator>> (std::istream &in, color &c)
| Stream input.
std::ostream & | openvrml::operator<< (std::ostream &out, const color &c)
| Stream output.
const color_rgba | openvrml::make_color_rgba () throw ()
| Create a zero-initialized `color_rgba`.
const color_rgba | openvrml::make_color_rgba (const float(&rgba)[4]) throw ()
| Create a `color_rgba`.
const color_rgba | openvrml::make_color_rgba (float r, float g, float b, float a) throw ()
| Create a `color_rgba`.
bool | openvrml::operator== (const color_rgba &lhs, const color_rgba &rhs) throw ()
| Compare for equality.
bool | openvrml::operator!= (const color_rgba &lhs, const color_rgba &rhs) throw ()
| Compare for inequality.
std::istream & | openvrml::operator>> (std::istream &in, color_rgba &c)
| Stream input.
std::ostream & | openvrml::operator<< (std::ostream &out, const color_rgba &c)
| Stream output.
const vec2f | openvrml::make_vec2f () throw ()
| Create a `vec2f`.
const vec2f | openvrml::make_vec2f (const float(&vec)[2]) throw ()
| Create a `vec2f` from an array.
const vec2f | openvrml::make_vec2f (float x, float y) throw ()
| Create a `vec2f` from `x` and `y` components.
const vec2f | openvrml::operator* (const vec2f &lhs, float rhs) throw ()
| Multiply a vector by a scalar.
const vec2f | openvrml::operator* (float lhs, const vec2f &rhs) throw ()
| Multiply a vector by a scalar.
const vec2f | openvrml::operator/ (const vec2f &lhs, float rhs) throw ()
| Divide a vector by a scalar.
const vec2f | openvrml::operator+ (const vec2f &lhs, const vec2f &rhs) throw ()
| Add two vectors.
const vec2f | openvrml::operator- (const vec2f &lhs, const vec2f &rhs) throw ()
| Subtract two vectors.
bool | openvrml::operator== (const vec2f &lhs, const vec2f &rhs) throw ()
| Compare for equality.
bool | openvrml::operator!= (const vec2f &lhs, const vec2f &rhs) throw ()
| Compare for inequality.
std::istream & | openvrml::operator>> (std::istream &in, vec2f &v)
| Stream input.
std::ostream & | openvrml::operator<< (std::ostream &out, const vec2f &v)
| Stream output.
const vec2d | openvrml::make_vec2d () throw ()
| Create a `vec2d`.
const vec2d | openvrml::make_vec2d (const double(&vec)[2]) throw ()
| Create a `vec2d` from an array.
const vec2d | openvrml::make_vec2d (double x, double y) throw ()
| Create a `vec2d` from `x` and `y` components.
const vec2d | openvrml::operator* (const vec2d &lhs, double rhs) throw ()
| Multiply a vector by a scalar.
const vec2d | openvrml::operator* (double lhs, const vec2d &rhs) throw ()
| Multiply a vector by a scalar.
const vec2d | openvrml::operator/ (const vec2d &lhs, double rhs) throw ()
| Divide a vector by a scalar.
const vec2d | openvrml::operator+ (const vec2d &lhs, const vec2d &rhs) throw ()
| Add two vectors.
const vec2d | openvrml::operator- (const vec2d &lhs, const vec2d &rhs) throw ()
| Subtract two vectors.
bool | openvrml::operator== (const vec2d &lhs, const vec2d &rhs) throw ()
| Compare for equality.
bool | openvrml::operator!= (const vec2d &lhs, const vec2d &rhs) throw ()
| Compare for inequality.
std::istream & | openvrml::operator>> (std::istream &in, vec2d &v)
| Stream input.
std::ostream & | openvrml::operator<< (std::ostream &out, const vec2d &v)
| Stream output.
const vec3f | openvrml::make_vec3f () throw ()
| Create a `vec3f`.
const vec3f | openvrml::make_vec3f (const float(&vec)[3]) throw ()
| Create a `vec3f` from an array.
const vec3f | openvrml::make_vec3f (float x, float y, float z) throw ()
| Create a `vec3f` from `x`, `y`, and `z` components.
const vec3f | openvrml::operator* (const vec3f &lhs, const vec3f &rhs) throw ()
| Cross multiply two vectors.
const vec3f | openvrml::operator* (const vec3f &lhs, float rhs) throw ()
| Multiply a vector by a scalar.
const vec3f | openvrml::operator* (float lhs, const vec3f &rhs) throw ()
| Multiply a vector by a scalar.
const vec3f | openvrml::operator* (const vec3f &lhs, const mat4f &mat) throw ()
| Multiply a vector by a matrix.
const vec3f | openvrml::operator* (const mat4f &mat, const vec3f &vec) throw ()
| Multiply a matrix by a vector.
const vec3f | openvrml::operator/ (const vec3f &lhs, float rhs) throw ()
| Divide a vector by a scalar.
const vec3f | openvrml::operator+ (const vec3f &lhs, const vec3f &rhs) throw ()
| Add two vectors.
const vec3f | openvrml::operator- (const vec3f &lhs, const vec3f &rhs) throw ()
| Subtract two vectors.
bool | openvrml::operator== (const vec3f &lhs, const vec3f &rhs) throw ()
| Compare for equality.
bool | openvrml::operator!= (const vec3f &lhs, const vec3f &rhs) throw ()
| Compare for inequality.
std::istream & | openvrml::operator>> (std::istream &in, vec3f &v)
| Stream input.
std::ostream & | openvrml::operator<< (std::ostream &out, const vec3f &v)
| Stream output.
const vec3d | openvrml::make_vec3d () throw ()
| Create a `vec3d`.
const vec3d | openvrml::make_vec3d (const double(&vec)[3]) throw ()
| Create a `vec3d` from an array.
const vec3d | openvrml::make_vec3d (double x, double y, double z) throw ()
| Create a `vec3d` from `x`, `y`, and `z` components.
const vec3d | openvrml::operator* (const vec3d &lhs, const vec3d &rhs) throw ()
| Cross multiply two vectors.
const vec3d | openvrml::operator* (const vec3d &lhs, double rhs) throw ()
| Multiply a vector by a scalar.
const vec3d | openvrml::operator* (double lhs, const vec3d &rhs) throw ()
| Multiply a vector by a scalar.
const vec3d | openvrml::operator* (const vec3d &lhs, const mat4f &mat) throw ()
| Multiply a vector by a matrix.
const vec3d | openvrml::operator* (const mat4f &mat, const vec3d &vec) throw ()
| Multiply a matrix by a vector.
const vec3d | openvrml::operator/ (const vec3d &lhs, double rhs) throw ()
| Divide a vector by a scalar.
const vec3d | openvrml::operator+ (const vec3d &lhs, const vec3d &rhs) throw ()
| Add two vectors.
const vec3d | openvrml::operator- (const vec3d &lhs, const vec3d &rhs) throw ()
| Subtract two vectors.
bool | openvrml::operator== (const vec3d &lhs, const vec3d &rhs) throw ()
| Compare for equality.
bool | openvrml::operator!= (const vec3d &lhs, const vec3d &rhs) throw ()
| Compare for inequality.
std::istream & | openvrml::operator>> (std::istream &in, vec3d &v)
| Stream input.
std::ostream & | openvrml::operator<< (std::ostream &out, const vec3d &v)
| Stream output.
const rotation | openvrml::make_rotation () throw ()
| Create a default `rotation`.
const rotation | openvrml::make_rotation (const float(&rot)[4]) throw ()
| Create a `rotation` from an array.
const rotation | openvrml::make_rotation (float x, float y, float z, float angle) throw ()
| Create a `rotation` from `x`, `y`, `z`, and `angle` components.
const rotation | openvrml::make_rotation (const vec3f &axis, float angle) throw ()
| Create a `rotation` from an axis vector and an angle.
const rotation | openvrml::make_rotation (const vec3f &from_vec, const vec3f &to_vec) throw ()
| Create a `rotation` equal to the rotation between two different vectors.
const rotation | openvrml::make_rotation (const quatf &quat) throw ()
| Create a `rotation` from a quaternion.
const rotation | openvrml::operator* (const rotation &lhs, const rotation &rhs) throw ()
| Multiply rotations.
bool | openvrml::operator== (const rotation &lhs, const rotation &rhs) throw ()
| Compare for equality.
bool | openvrml::operator!= (const rotation &lhs, const rotation &rhs) throw ()
| Compare for inequality.
std::istream & | openvrml::operator>> (std::istream &in, rotation &rot)
| Stream input.
std::ostream & | openvrml::operator<< (std::ostream &out, const rotation &r)
| Stream output.
const mat4f | openvrml::make_mat4f () throw ()
| Create an identity matrix.
const mat4f | openvrml::make_mat4f (float f11, float f12, float f13, float f14, float f21, float f22, float f23, float f24, float f31, float f32, float f33, float f34, float f41, float f42, float f43, float f44) throw ()
| Create a `mat4f` with given 16 elements in row-major order.
const mat4f | openvrml::make_mat4f (const float mat[16]) throw ()
| Create a matrix from an array of 16 values.
const mat4f | openvrml::make_mat4f (const float(&mat)[4][4]) throw ()
| Create a matrix from a 4x4 array.
const mat4f | openvrml::make_rotation_mat4f (const rotation &rot) throw ()
| Create a rotation matrix.
const mat4f | openvrml::make_rotation_mat4f (const quatf &quat) throw ()
| Create a rotation matrix.
const mat4f | openvrml::make_scale_mat4f (float s) throw ()
| Create a uniform scale matrix.
const mat4f | openvrml::make_scale_mat4f (const vec3f &s) throw ()
| Create a scale matrix.
const mat4f | openvrml::make_translation_mat4f (const vec3f &t) throw ()
| Create a translation matrix.
const mat4f | openvrml::make_transformation_mat4f (const vec3f &t, const rotation &r, const vec3f &s, const rotation &sr, const vec3f &c) throw ()
| Create a transformation matrix from a translation, a rotation, a scale, a scaleOrientation, and a center.
bool | openvrml::operator== (const mat4f &lhs, const mat4f &rhs) throw ()
| Equality comparison operator.
bool | openvrml::operator!= (const mat4f &lhs, const mat4f &rhs) throw ()
| Inequality comparison operator.
const mat4f | openvrml::operator* (const mat4f &lhs, const mat4f &rhs) throw ()
| Multiply two matrices.
const mat4f | openvrml::operator* (const mat4f &mat, float scalar) throw ()
| Multiply a matrix by a scalar value.
const mat4f | openvrml::operator* (float scalar, const mat4f &mat) throw ()
| Multiply a scalar value by matrix.
std::istream & | openvrml::operator>> (std::istream &in, mat4f &mat)
| Stream input.
std::ostream & | openvrml::operator<< (std::ostream &out, const mat4f &mat)
| Stream output.
const quatf | openvrml::make_quatf () throw ()
| Create a default `quatf`.
const quatf | openvrml::make_quatf (float x, float y, float z, float w) throw ()
| Create a `quatf` from four values.
const quatf | openvrml::make_quatf (const float(&quat)[4]) throw ()
| Create a `quatf` from an array of four values.
const quatf | openvrml::make_quatf (const rotation &rot) throw ()
| Create a `quatf` from a `rotation`.
const quatf | openvrml::make_quatf (const mat4f &mat) throw ()
| Create a `quatf` from a rotation matrix.
const quatf | openvrml::operator* (const quatf &lhs, const quatf &rhs) throw ()
| Multiply two quaternions.
const quatf | openvrml::operator* (const quatf &quat, const float scalar) throw ()
| Multiply a quaternion by a scalar.
const quatf | openvrml::operator* (const float scalar, const quatf &quat) throw ()
| Multiply a scalar by a quaternion.
const quatf | openvrml::operator/ (const quatf &quat, const float scalar) throw ()
| Divide a quaternion by a scalar.
const quatf | openvrml::operator+ (const quatf &lhs, const quatf &rhs) throw ()
| Add two quaternions.
const quatf | openvrml::operator- (const quatf &lhs, const quatf &rhs) throw ()
| Take the difference between two quaternions.
bool | openvrml::operator== (const quatf &lhs, const quatf &rhs) throw ()
| Compare for equality.
bool | openvrml::operator!= (const quatf &lhs, const quatf &rhs) throw ()
| Compare for inequality.
std::istream & | openvrml::operator>> (std::istream &in, quatf &q)
| Stream input.
std::ostream & | openvrml::operator<< (std::ostream &out, const quatf &quat)
| Stream output.
bool | openvrml::operator== (const image &lhs, const image &rhs) throw ()
| Compare for equality.
bool | openvrml::operator!= (const image &lhs, const image &rhs) throw ()
| Compare for inequality.
std::istream & | openvrml::operator>> (std::istream &in, image &img)
| Stream input.
std::ostream & | openvrml::operator<< (std::ostream &out, const image &img)
| Stream output.
template<>
void | std::swap (openvrml::image &a, openvrml::image &b)
| Swap the values of `and` `b`.

## Detailed Description

Basic types for representing data in VRML/X3D worlds (color, rotations, vectors, etc.).