path: root/doc/libdimension.texi

\input texinfo       @c                    -*- Texinfo -*-
@c %**start of header
@setfilename libdimension.info
@settitle The Dimension 3-D Rendering Library
@c %**end of header

@c Wrap code examples at 72 chars, please

@copying
Copyright @copyright{} 2009 Tavian Barnes
@end copying

@titlepage
@title The Dimension Library
@page
@vskip 0pt plus 1filll
@insertcopying
@end titlepage

@contents

@ifnottex
@node Top
@top The Dimension Library

@insertcopying
@end ifnottex

@menu
* Introduction:: An introduction to the Dimension library
* Error Handling:: How libdimension handles warnings and errors
* Arrays:: A generic interface for arrays of arbitrary objects
* Asynchronicity:: An interface for controlling background tasks
* Geometry:: Geometric types like vectors, transformation matricies, and lines
* Color:: Correct color handling
* Canvases:: Where the results of rendering are stored
* Objects:: Physical objects in a scene
@ignore
* Cameras:: How a 3-D image is seen in 2-D
* Scenes:: Scene objects which hold everything needed to render an image
* Rendering:: Methods of rendering scenes
@end ignore
* Type Index::
* Function Index::
* Concept Index::
@end menu


@node Introduction
@chapter Introduction

@cindex introduction
@cindex overview
The Dimension Library is a C library for rendering photo-realistic 3-D scenes.  It is designed to be the workhorse for the future ``dimension'' program.  The Dimension Library will in the future be a full-fledged high-performance raytracing library, but right now is in very early stages and heavy development.


@node Error Handling
@chapter Error Handling

@example
@tindex dmnsn_severity
typedef enum @{
  @vindex DMNSN_SEVERITY_LOW
  DMNSN_SEVERITY_LOW,    /* Only die on low resilience */
  @vindex DMNSN_SEVERITY_MEDIUM
  DMNSN_SEVERITY_MEDIUM, /* Die on low or medium resilience */
  @vindex DMNSN_SEVERITY_HIGH
  DMNSN_SEVERITY_HIGH    /* Always die */
@} dmnsn_severity;

@findex dmnsn_error
#define dmnsn_error(severity, str) /* ... */

@findex dmnsn_get_resilience
dmnsn_severity dmnsn_get_resilience();
@findex dmnsn_set_resilience
void dmnsn_set_resilience(dmnsn_severity resilience);
@end example

@cindex errors
@cindex warnings
When it makes sense, libdimension reports errors by returning error codes from its functions.  However, when errors are not severe, when said function should not fail, or when the error is very serious, libdimension reports errors using the macro @code{dmnsn_error()}.  @code{dmnsn_error()} takes two parameters: the severity of the error, and a string description of the error.  The macro will conveniently report the description, as well as the function name and code line where the error occured, to standard error.  The severity can be either @code{DMNSN_SEVERITY_LOW}, @code{DMNSN_SEVERITY_MEDIUM}, or @code{DMNSN_SEVERITY_HIGH}.

@cindex resilience
The Dimension Library has also has a user-settable resilience.  The resilience controls the minimum severity at which the library considers an error to be fatal, and calls @code{exit(EXIT_FAILURE)}.  As such, errors of severity @code{DMNSN_SEVERITY_HIGH} are always fatal.  libdimension's resilience defaults to @code{DMNSN_SEVERITY_MEDIUM}, but can be inspected or changed thread-safely by @code{dmnsn_get_resilience()} or @code{dmnsn_set_resilience()}, respectively.  Warnings (non-fatal errors) are formatted like this:

@example
Dimension WARNING: <function>, line <line>: <description>
@end example

@noindent while errors are formatted like this:

@example
Dimension ERROR: <function>, line <line>: <description>
@end example


@node Arrays
@chapter Arrays

@example
@tindex dmnsn_array*
typedef struct @{
  /* ... */
@} dmnsn_array;

/* Array allocation */
@findex dmnsn_new_array
dmnsn_array *dmnsn_new_array(size_t obj_size);
@findex dmnsn_delete_array
void dmnsn_delete_array(dmnsn_array *array);

/* Thread-safe atomic array access */

@findex dmnsn_array_push
void dmnsn_array_push(dmnsn_array *array, const void *obj);
@findex dmnsn_array_pop
void dmnsn_array_pop(dmnsn_array *array, void *obj);
@findex dmnsn_array_get
void dmnsn_array_get(const dmnsn_array *array, size_t i, void *obj);
@findex dmnsn_array_set
void dmnsn_array_set(dmnsn_array *array, size_t i, const void *obj);

@findex dmnsn_array_size
size_t dmnsn_array_size(const dmnsn_array *array);
@findex dmnsn_array_resize
void   dmnsn_array_resize(dmnsn_array *array, size_t length);

/* Non-atomic operations for manual locking */
@findex dmnsn_array_at
void *dmnsn_array_at(dmnsn_array *array, size_t i);
@findex dmnsn_array_size_unlocked
size_t dmnsn_array_size_unlocked(const dmnsn_array *array);
@findex dmnsn_array_resize_unlocked
void dmnsn_array_resize_unlocked(dmnsn_array *array, size_t length);

/* Manual locking */
@findex dmnsn_array_rdlock
void dmnsn_array_rdlock(const dmnsn_array *array);
@findex dmnsn_array_wrlock
void dmnsn_array_wrlock(dmnsn_array *array);
@findex dmnsn_array_unlock
void dmnsn_array_unlock(const dmnsn_array *array);
@end example

@cindex array
The Dimension Library often has cause to work with adjustable-size arrays.  It provides an interface for dynamically-allocated arrays of arbitrary objects.  Arrays allocated with the @code{dmnsn_new_array()} function, and freed with the @code{dmnsn_delete_array()} function, a pattern common in libdimension.  @code{dmnsn_new_array()} takes the size of the new array's elements as its parameter.  Unlike other allocation functions throughout libdimension, @code{dmnsn_new_array()} cannot fail if it returns (other allocators may return NULL).  In fact, all array operations are guaranteed to either succeed or report a fatal error, which may happen if memory allocation fails.

Arrays in libdimension are thread-safe; every individual operation is atomic.  libdimension provides push, pop, get, and set operations for arrays, taking a pointer to an object to read or write as their last parameter, the array index when applicable as the second-last parameter, and the @code{dmnsn_array*} as the first parameter.  The array's length may be queried with @code{dmnsn_array_size()}, or set with @code{dmnsn_array_resize()}.

When sets of array operations must be atomic, one may use the manual locking array interface.  Implemented as a read-write lock, applications should call @code{dmnsn_array_rdlock()} to set a read-lock, @code{dmnsn_array_wrlock()} to set a write-lock, and @code{dmnsn_array_unlock()} to unlock the array.  While the array is locked, one may call @code{dmnsn_array_at()} to get a pointer to the @code{i}'th element of the array, or the @code{*_unlocked} suffixed versions of the @code{..._size()} and @code{..._resize()} functions to get or set the size, respectively.


@node Asynchronicity
@chapter Asynchronicity

@example
@tindex dmnsn_progress*
typedef struct @{
  /* ... */
@} dmnsn_progress;

/* Progress allocation */
@findex dmnsn_new_progress
dmnsn_progress *dmnsn_new_progress();
@findex dmnsn_delete_progress
void dmnsn_delete_progress(dmnsn_progress *progress);

/* Ensures completion of the worker thread */
@findex dmnsn_finish_progress
int dmnsn_finish_progress(dmnsn_progress *progress);

/* Routines for user */
@findex dmnsn_get_progress
double dmnsn_get_progress(const dmnsn_progress *progress);
@findex dmnsn_wait_progress
void dmnsn_wait_progress(const dmnsn_progress *progress, double prog);

/* Routines for worker thread */
@findex dmnsn_new_progress_element
void dmnsn_new_progress_element(dmnsn_progress *progress,
                                unsigned int total);
@findex dmnsn_increment_progress
void dmnsn_increment_progress(dmnsn_progress *progress);
@findex dmnsn_done_progress
void dmnsn_done_progress(dmnsn_progress *progress);
@end example

@cindex asynchronous task
@cindex background task
@cindex progress indicator
As The Dimension Library is a raytracing engine, some routines are likely to take a long time.  These routines may be run in a background thread, and controlled with a common interface.  Routines supporting this interface end in @code{_async}, such as @code{dmnsn_raytrace_scene_async()}, and return a dmnsn_progress* object, so named because it allows an application to be query the progress of the background task.  By necessity, all @code{dmnsn_progress*} operations are atomic and thread-safe.

Progress objects are allocated and deallocated in the standard libdimension way, but also support a unique @code{dmnsn_finish_progress()} function.  This function waits for the background thread to complete, and then destroys the @code{dmnsn_progress*} object.  Never use the result of a background task before calling @code{dmnsn_finish_progress()}, even if the progress seems to be at 100%!  @code{dmnsn_delete_progress()} should only be called from within failed @code{*_async()} functions, to deallocate a progress object before it is associated with a running thread.

Users of these asynchronous tasks will mainly be interested in the functions @code{dmnsn_get_progress()} and @code{dmnsn_wait_progress()}.  @code{dmnsn_get_progress()} returns the progress of the background task, a value between 0.0 and 1.0.  @code{dmnsn_wait_progress()} simply waits for @code{dmnsn_get_progress()} to be >= @code{prog}, but in a much better way than spinlocking (internally, a condition variable is used).

Background tasks themselves will be interested in three more functions.  To indicate progress to the user, progress objects store one "element" for each level of loop nesting a task would like to report the progress of.  Only the innermost loop need increment the progress counter, as in this example:

@example
dmnsn_new_progress_element(progress, i_max);
for (i = 0; i < i_max; ++i) @{
  dmnsn_new_progress_element(progress, j_max);
  for (j = 0; j < j_max; ++j) @{
    /* Do stuff */
    dmnsn_increment_progress(progress);
  @}
@}
@end example

For robustness, tasks should call @code{dmnsn_done_progress()} when they finish, even if they fail.  This function immediately sets the progress to 100%, which wakes up all waiters.  Otherwise, a user's application may hang calling @code{dmnsn_wait_progress()}.


@node Geometry
@chapter Geometry

@example
/* Vector and matrix types. */

@tindex dmnsn_vector
typedef struct @{
  double x, y, z;
@} dmnsn_vector;

@tindex dmnsn_matrix
typedef struct @{
  double n[4][4];
@} dmnsn_matrix;

/* A line, or ray. */
@tindex dmnsn_line
typedef struct @{
  dmnsn_vector x0; /* A point on the line */
  dmnsn_vector n;  /* A normal vector; the direction of the line */
@} dmnsn_line;

/* Vector/matrix construction */

@findex dmnsn_vector_construct
dmnsn_vector dmnsn_vector_construct(double x, double y, double z);

@findex dmnsn_matrix_construct
dmnsn_matrix
dmnsn_matrix_construct(double a0, double a1, double a2, double a3,
                       double b0, double b1, double b2, double b3,
                       double c0, double c1, double c2, double c3,
                       double d0, double d1, double d2, double d3);

@findex dmnsn_identity_matrix
dmnsn_matrix dmnsn_identity_matrix();
@findex dmnsn_scale_matrix
dmnsn_matrix dmnsn_scale_matrix(dmnsn_vector s);
@findex dmnsn_translation_matrix
dmnsn_matrix dmnsn_translation_matrix(dmnsn_vector d);
@findex dmnsn_rotation_matrix
dmnsn_matrix dmnsn_rotation_matrix(dmnsn_vector theta);

@findex dmnsn_line_construct
dmnsn_line dmnsn_line_construct(dmnsn_vector x0, dmnsn_vector n);

/* Vector and matrix arithmetic */

@findex dmnsn_vector_add
dmnsn_vector dmnsn_vector_add(dmnsn_vector lhs, dmnsn_vector rhs);
@findex dmnsn_vector_sub
dmnsn_vector dmnsn_vector_sub(dmnsn_vector lhs, dmnsn_vector rhs);
@findex dmnsn_vector_mul
dmnsn_vector dmnsn_vector_mul(double lhs, dmnsn_vector rhs);
@findex dmnsn_vector_div
dmnsn_vector dmnsn_vector_div(dmnsn_vector lhs, double rhs);

@findex dmnsn_vector_dot
double       dmnsn_vector_dot(dmnsn_vector lhs, dmnsn_vector rhs);
@findex dmnsn_vector_cross
dmnsn_vector dmnsn_vector_cross(dmnsn_vector lhs, dmnsn_vector rhs);

@findex dmnsn_vector_norm
double       dmnsn_vector_norm(dmnsn_vector n);
@findex dmnsn_vector_normalize
dmnsn_vector dmnsn_vector_normalize(dmnsn_vector n);

@findex dmnsn_matrix_inverse
dmnsn_matrix dmnsn_matrix_inverse(dmnsn_matrix A);
@findex dmnsn_matrix_mul
dmnsn_matrix dmnsn_matrix_mul(dmnsn_matrix lhs, dmnsn_matrix rhs);
@findex dmnsn_matrix_vector_mul
dmnsn_vector dmnsn_matrix_vector_mul(dmnsn_matrix lhs,
                                     dmnsn_vector rhs);
@findex dmnsn_matrix_line_mul
dmnsn_line   dmnsn_matrix_line_mul(dmnsn_matrix lhs, dmnsn_line rhs);

@findex dmnsn_line_point
dmnsn_vector dmnsn_line_point(dmnsn_line l, double t);
@findex dmnsn_line_index
double dmnsn_line_index(dmnsn_line l, dmnsn_vector x);
@end example

@cindex scalar
@cindex vector
@cindex matrix
@cindex line
@cindex ray
For performing 3-D computational geometry, The Dimension Library supports geometric types and many operations on these types.  libdimension defines the @code{dmnsn_vector}, @code{dmnsn_matrix}, and @code{dmnsn_line} geometric types.  They may be easily constructed by the self-explanatory @code{dmnsn_vector_construct()}, @code{dmnsn_matrix_construct()}, or @code{dmnsn_line_construct()}.

@cindex transformation
@cindex norm
@cindex normalization
@cindex dot product
@cindex cross product
Vectors support addition and subtraction, multiplication and division by a scalar, the dot and cross products, the norm and normalization operations, and transformation by a matrix (@code{dmnsn_matrix_vector_mul()}).

@cindex matrix inversion
Matricies support matrix multiplication, and inversion.  Inversion uses a very fast partitioning algorithm.  As well, there are four special matrix constructors.  @code{dmnsn_identity_matrix()} simply returns the identity matrix.  @code{dmnsn_scale_matrix(s)} returns a matrix which scales each dimension by a factor of the corresponding dimension of the @code{s}.  @code{dmnsn_translate_matrix(d)} returns a matrix which translates by @code{d}.  Finally, @code{dmnsn_rotation_matrix(theta)} returns a matrix which rotates by an angle of @code{norm(theta)}, about the axis @code{normalized(theta)}.

Lines support transformation by a matrix (@code{dmnsn_matrix_line_mul(A, l) = dmnsn_line_construct(A*l.x0, A*(l.x0 + l.n) - A*l.x0)}).  Also, @code{dmnsn_line_point(l, t) = l.x0 + t*l.n} gives the point @code{t} on the line, and @code{dmnsn_line_index(l, x)} gives the @code{t} value such that @code{dmnsn_line_point(l, t) == x}.

@node Color
@chapter Color

@example
@tindex dmnsn_color
typedef struct @{
  double filter, trans; /* Filter transparancy only lets light of this
                           color through; regular transparancy lets all
                           colors through.  filter + trans should be
                           <= 1.0. */
  /* ... */
@} dmnsn_color;

@tindex dmnsn_CIE_XYZ
typedef struct @{
  double X, Y, Z; /* X, Y, and Z are tristimulus values, unbounded
                     above zero.  Diffuse white is (0.9505, 1,
                     1.089). */
@} dmnsn_CIE_XYZ;

@tindex dmnsn_CIE_xyY
typedef struct @{
  double x, y, Y; /* x and y are chromaticity coordinates, and Y is
                     luminance, in the CIE 1931 xyZ color space.  We
                     use an unlimited light model, so x,y in [0, 1] and
                     Y >= 0, with 1 = diffuse white */
@} dmnsn_CIE_xyY;

@tindex dmnsn_CIE_Lab
typedef struct @{
  double L, a, b; /* L is luminence (100 = diffuse white); a and b are
                     color-opponent dimensions.  This color space is
                     used for color arithmetic. */
@} dmnsn_CIE_Lab;

@tindex dmnsn_CIE_Luv
typedef struct @{
  double L, u, v; /* L is luminence (100 = diffuse white); u and v are
                     chromaticity coordinates. */
@} dmnsn_CIE_Luv;

@tindex dmnsn_sRGB
typedef struct @{
  double R, G, B; /* sRGB R, G, and B values */
@} dmnsn_sRGB;

/* Standard whitepoint, determined by the conversion of sRGB white to
   CIE XYZ */
@vindex dmnsn_whitepoint
extern const dmnsn_CIE_XYZ dmnsn_whitepoint;

/* Color conversions */

@findex dmnsn_color_from_XYZ
dmnsn_color dmnsn_color_from_XYZ(dmnsn_CIE_XYZ XYZ);
@findex dmnsn_color_from_xyY
dmnsn_color dmnsn_color_from_xyY(dmnsn_CIE_xyY xyY);
@findex dmnsn_color_from_Lab
dmnsn_color dmnsn_color_from_Lab(dmnsn_CIE_Lab Lab,
                                 dmnsn_CIE_XYZ white);
@findex dmnsn_color_from_Luv
dmnsn_color dmnsn_color_from_Luv(dmnsn_CIE_Luv Luv,
                                 dmnsn_CIE_XYZ white);
@findex dmnsn_color_from_sRGB
dmnsn_color dmnsn_color_from_sRGB(dmnsn_sRGB sRGB);

@findex dmnsn_XYZ_from_color
dmnsn_CIE_XYZ dmnsn_XYZ_from_color(dmnsn_color color);
@findex dmnsn_xyY_from_color
dmnsn_CIE_xyY dmnsn_xyY_from_color(dmnsn_color color);
@findex dmnsn_Lab_from_color
dmnsn_CIE_Lab dmnsn_Lab_from_color(dmnsn_color color,
                                   dmnsn_CIE_XYZ white);
@findex dmnsn_Luv_from_color
dmnsn_CIE_Luv dmnsn_Luv_from_color(dmnsn_color color,
                                   dmnsn_CIE_XYZ white);
@findex dmnsn_sRGB_from_color
dmnsn_sRGB    dmnsn_sRGB_from_color(dmnsn_color color);

/* Perceptually correct color combination */
@findex dmnsn_color_add
dmnsn_color dmnsn_color_add(dmnsn_color color1, dmnsn_color color2);

/* Perceptual color difference */
@findex dmnsn_color_difference
double dmnsn_color_difference(dmnsn_color color1, dmnsn_color color2);
@end example

@cindex color
@cindex CIE XYZ
@cindex CIE xyY
@cindex CIE L*a*b*
@cindex CIE L*u*v*
@cindex sRGB
@cindex RGB
The Dimension Library supports many different representations of color.  The details of each representation are beyond the scope of this manual, but libdimension supports CIE XYZ, xyY, L*a*b*, L*u*v*, and sRGB color.  CIE L*a*b* and L*u*v* are designed to be perceptually uniform, meaning changes in their color coordinates correspond to perceptual changes of equal magnitude.  The @code{dmnsn_color} type libdimension uses to represent colors internally, with an unspecified representation.  The @code{.filter} field gives the color's filtered transparency, which lets same-colored light through, while the @code{.trans} field stores non-filtered transparency.

The @code{dmnsn_color_from_*()} and @code{dmnsn_*_from_color()} functions are used to convert to and from the @code{dmnsn_color} type.  The conversions to @code{dmnsn_color} set the @code{.filter} and @code{.trans} fields to zero, and those fields are ignored by the inverse conversions.  Conversions to and from CIE L*a*b* and L*u*v* colors take an extra parameter, which specifies the absolute color value of the whitepoint the conversions are relative to.  @code{dmnsn_whitepoint} is a good value for this parameter.

@code{dmnsn_color_add()} adds two colors in a perceptually-correct way, and @code{dmnsn_color_difference()} returns the magnatude of the perceptual difference between two colors.


@node Canvases
@chapter Canvases

@example
@tindex dmnsn_canvas*
typedef struct @{
  /* width, height */
  unsigned int x, y;

  /*
   * Stored in first-quadrant representation (origin is bottom-left).
   * The pixel at (a,b) is accessible as pixels[b*x + a].
   */
  dmnsn_color *pixels;
@} dmnsn_canvas;

/* Allocate and free a canvas */
@findex dmnsn_new_canvas
dmnsn_canvas *dmnsn_new_canvas(unsigned int x, unsigned int y);
@findex dmnsn_delete_canvas
void dmnsn_delete_canvas(dmnsn_canvas *canvas);

/* Pixel accessors */
@findex dmnsn_get_pixel
dmnsn_color dmnsn_get_pixel(const dmnsn_canvas *canvas,
                            unsigned int x, unsigned int y);
@findex dmnsn_set_pixel
void dmnsn_set_pixel(dmnsn_canvas *canvas,
                     unsigned int x, unsigned int y,
                     dmnsn_color color);
@findex dmnsn_pixel_at
dmnsn_color *dmnsn_pixel_at(dmnsn_canvas *canvas,
                            unsigned int x, unsigned int y);
@end example

@cindex canvas
@cindex rendering target
The target of a rendering operation in The Dimension Library is a canvas object, represented by the type @code{dmnsn_canvas*}.  This type stores a @code{dmnsn_color} for each pixel in the @code{->pixels} field, as well as the dimensions of the canvas in the @code{->x} and @code{->y} fields.  The pixel at (x,y) can be examined or set by the accessors @code{dmnsn_get_pixel()} and @code{dmnsn_set_pixel()}, and referenced by @code{dmnsn_pixel_at()}.

Canvases may be imported from or exported to images.  In the future, canvases will also be able to be treated as object textures, to support images as textures.

@menu
* PNG Import and Export:: Importing and exporting canvases to and from PNG files
@end menu

@node PNG Import and Export
@section PNG Import and Export

@example
/* Write canvas to file in PNG format.  Returns 0 on success, nonzero
   on failure */
@findex dmnsn_png_write_canvas
int dmnsn_png_write_canvas(const dmnsn_canvas *canvas, FILE *file);
@findex dmnsn_png_write_canvas_async
dmnsn_progress *
dmnsn_png_write_canvas_async(const dmnsn_canvas *canvas, FILE *file);

/* Read a canvas from a PNG file.  Returns NULL on failure. */
@findex dmnsn_png_read_canvas
dmnsn_canvas *dmnsn_png_read_canvas(FILE *file);
@findex dmnsn_png_read_canvas_async
dmnsn_progress *dmnsn_png_read_canvas_async(dmnsn_canvas **canvas,
                                            FILE *file);
@end example

@cindex PNG
The Dimension Library supports import and export of canvas to and from PNG files; this is currently the only supported image type.  The interface is simple: @code{dmnsn_png_write_canvas()} writes the canvas in PNG format to the given file, at maximum quality; @code{dmnsn_png_read_canvas()} imports a PNG file to a canvas.  The @code{*_async()} versions work as described in @ref{Asynchronicity}.


@node Objects
@chapter Objects

@example
@tindex dmnsn_object*
typedef struct @{
  /* Generic pointer for object info */
  void *ptr;

  /* Transformation matrix */
  dmnsn_matrix trans;

  /* Callback functions */
  dmnsn_object_intersections_fn *intersections_fn;
  dmnsn_object_inside_fn        *inside_fn;
@} dmnsn_object;

/* Object callback types */
@tindex dmnsn_object_intersections_fn
typedef dmnsn_array *
dmnsn_object_intersections_fn(const dmnsn_object *object,
                              dmnsn_line line);
@tindex dmnsn_object_inside_fn
typedef int dmnsn_object_inside_fn(const dmnsn_object *object,
                                   dmnsn_vector point);

/* Allocate a dummy object */
@findex dmnsn_new_object
dmnsn_object *dmnsn_new_object();
@findex dmnsn_delete_object
void dmnsn_delete_object(dmnsn_object *object);
@end example

@cindex object
The Dimension Library renders 3-D objects, represented by the @code{dmnsn_object*} type.  This type has callback functions for determining if and where a ray intersects the object, and whether a point is inside the object.  In the future, many more callbacks will be added.  libdimension comes with a few simple object types like spheres and cubes, or you may create your own by customizing the object callbacks.  The field @code{->ptr} is a void pointer which may be used to store additional information about an object.  The @code{->trans} field is a transformation matrix, transforming the rays which intersect the object, rather than the object itself.  Thus, @code{->trans} should be set to the inverse of the transformations you wish to apply to the object.

@menu
* Spheres:: Spheres
* Cubes:: Cubes
@end menu

@node Spheres
@section Spheres

@example
@findex dmnsn_new_sphere
dmnsn_object *dmnsn_new_sphere();
@findex dmnsn_delete_sphere
void dmnsn_delete_sphere(dmnsn_object *sphere);
@end example

The Dimension Library has a few built-in basic shape primitives.  One of them is the sphere; @code{dmnsn_new_sphere()} returns a sphere of radius 1, centered at the origin.  Use the object's transformation matrix to scale, translate, and/or rotate it.

@node Cubes
@section Cubes

@example
@findex dmnsn_new_cube
dmnsn_object *dmnsn_new_cube();
@findex dmnsn_delete_cube
void dmnsn_delete_cube(dmnsn_object *cube);
@end example

@code{dmnsn_new_cube()} returns a cube, axis-aligned, from (-1, -1, -1) to (1, 1, 1).  Use its transformation matrix to scale, translate, and/or rotate it.


@node Type Index
@unnumbered Type Index

@printindex tp


@node Function Index
@unnumbered Function Index

@printindex fn


@node Concept Index
@unnumbered Concept Index

@printindex cp

@bye