www.pudn.com > freetype.rar > fttrigon.h


/***************************************************************************/ 
/*                                                                         */ 
/*  fttrigon.h                                                             */ 
/*                                                                         */ 
/*    FreeType trigonometric functions (specification).                    */ 
/*                                                                         */ 
/*  Copyright 2001 by                                                      */ 
/*  David Turner, Robert Wilhelm, and Werner Lemberg.                      */ 
/*                                                                         */ 
/*  This file is part of the FreeType project, and may only be used,       */ 
/*  modified, and distributed under the terms of the FreeType project      */ 
/*  license, LICENSE.TXT.  By continuing to use, modify, or distribute     */ 
/*  this file you indicate that you have read the license and              */ 
/*  understand and accept it fully.                                        */ 
/*                                                                         */ 
/***************************************************************************/ 
 
 
#ifndef __FTTRIGON_H__ 
#define __FTTRIGON_H__ 
 
#include "freetype/freetype.h" 
 
 
FT_BEGIN_HEADER 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @section:                                                             */ 
  /*   computations                                                        */ 
  /*                                                                       */ 
  /*************************************************************************/ 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @type:                                                                */ 
  /*    FT_Angle                                                           */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    This type is used to model angle values in FreeType.  Note that    */ 
  /*    the angle is a 16.16 fixed float value expressed in degrees.       */ 
  /*                                                                       */ 
  typedef FT_Fixed  FT_Angle; 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @macro:                                                               */ 
  /*    FT_ANGLE_PI                                                        */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*   The angle pi expressed in @FT_Angle units.                          */ 
  /*                                                                       */ 
#define FT_ANGLE_PI  ( 180L << 16 ) 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @macro:                                                               */ 
  /*    FT_ANGLE_2PI                                                       */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    The angle 2*pi expressed in @FT_Angle units.                       */ 
  /*                                                                       */ 
#define FT_ANGLE_2PI  ( FT_ANGLE_PI * 2 ) 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @macro:                                                               */ 
  /*    FT_ANGLE_PI2                                                       */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    The angle pi/2 expressed in @FT_Angle units.                       */ 
  /*                                                                       */ 
#define FT_ANGLE_PI2  ( FT_ANGLE_PI / 2 ) 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @macro:                                                               */ 
  /*    FT_ANGLE_PI4                                                       */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    The angle pi/4 expressed in @FT_Angle units.                       */ 
  /*                                                                       */ 
#define FT_ANGLE_PI4  ( FT_ANGLE_PI / 4 ) 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @function:                                                            */ 
  /*    FT_Sin                                                             */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    Return the sinus of a given angle in fixed point format.           */ 
  /*                                                                       */ 
  /* @input:                                                               */ 
  /*    angle :: The input angle.                                          */ 
  /*                                                                       */ 
  /* @return:                                                              */ 
  /*    The sinus value.                                                   */ 
  /*                                                                       */ 
  /* @note:                                                                */ 
  /*    If you need both the sinus and cosinus for a given angle, use the  */ 
  /*    function @FT_Vector_Unit.                                          */ 
  /*                                                                       */ 
  FT_EXPORT( FT_Fixed ) 
  FT_Sin( FT_Angle  angle ); 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @function:                                                            */ 
  /*    FT_Cos                                                             */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    Return the cosinus of a given angle in fixed point format.         */ 
  /*                                                                       */ 
  /* @input:                                                               */ 
  /*    angle :: The input angle.                                          */ 
  /*                                                                       */ 
  /* @return:                                                              */ 
  /*    The cosinus value.                                                 */ 
  /*                                                                       */ 
  /* @note:                                                                */ 
  /*    If you need both the sinus and cosinus for a given angle, use the  */ 
  /*    function @FT_Vector_Unit.                                          */ 
  /*                                                                       */ 
  FT_EXPORT( FT_Fixed ) 
  FT_Cos( FT_Angle  angle ); 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @function:                                                            */ 
  /*    FT_Tan                                                             */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    Return the tangent of a given angle in fixed point format.         */ 
  /*                                                                       */ 
  /* @input:                                                               */ 
  /*    angle :: The input angle.                                          */ 
  /*                                                                       */ 
  /* @return:                                                              */ 
  /*    The tangent value.                                                 */ 
  /*                                                                       */ 
  FT_EXPORT( FT_Fixed ) 
  FT_Tan( FT_Angle  angle ); 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @function:                                                            */ 
  /*    FT_Atan2                                                           */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    Return the arc-tangent corresponding to a given vector (x,y) in    */ 
  /*    the 2d plane.                                                      */ 
  /*                                                                       */ 
  /* @input:                                                               */ 
  /*    x :: The horizontal vector coordinate.                             */ 
  /*                                                                       */ 
  /*    y :: The vertical vector coordinate.                               */ 
  /*                                                                       */ 
  /* @return:                                                              */ 
  /*    The arc-tangent value (i.e. angle).                                */ 
  /*                                                                       */ 
  FT_EXPORT( FT_Angle ) 
  FT_Atan2( FT_Fixed  x, 
            FT_Fixed  y ); 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @function:                                                            */ 
  /*    FT_Angle_Diff                                                      */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    Return the difference between two angles.  The result is always    */ 
  /*    constrained to the ]-PI..PI] interval.                             */ 
  /*                                                                       */ 
  /* @input:                                                               */ 
  /*    angle1 :: First angle.                                             */ 
  /*                                                                       */ 
  /*    angle2 :: Second angle.                                            */ 
  /*                                                                       */ 
  /* @return:                                                              */ 
  /*    Contrainted value of `value2-value1'.                              */ 
  /*                                                                       */ 
  FT_EXPORT( FT_Angle ) 
  FT_Angle_Diff( FT_Angle  angle1, 
                 FT_Angle  angle2 ); 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @function:                                                            */ 
  /*    FT_Vector_Unit                                                     */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    Return the unit vector corresponding to a given angle.  After the  */ 
  /*    call, the value of `vec.x' will be `sin(angle)', and the value of  */ 
  /*    `vec.y' will be `cos(angle)'.                                      */ 
  /*                                                                       */ 
  /*    This function is useful to retrieve both the sinus and cosinus of  */ 
  /*    a given angle quickly.                                             */ 
  /*                                                                       */ 
  /* @output:                                                              */ 
  /*    vec   :: The address of target vector.                             */ 
  /*                                                                       */ 
  /* @input:                                                               */ 
  /*    angle :: The address of angle.                                     */ 
  /*                                                                       */ 
  FT_EXPORT( void ) 
  FT_Vector_Unit( FT_Vector*  vec, 
                  FT_Angle    angle ); 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @function:                                                            */ 
  /*    FT_Vector_Rotate                                                   */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    Rotate a vector by a given angle.                                  */ 
  /*                                                                       */ 
  /* @inout:                                                               */ 
  /*    vec   :: The address of target vector.                             */ 
  /*                                                                       */ 
  /* @input:                                                               */ 
  /*    angle :: The address of angle.                                     */ 
  /*                                                                       */ 
  FT_EXPORT( void ) 
  FT_Vector_Rotate( FT_Vector*  vec, 
                    FT_Angle    angle ); 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @function:                                                            */ 
  /*   FT_Vector_Length                                                    */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*   Return the length of a given vector.                                */ 
  /*                                                                       */ 
  /* @input:                                                               */ 
  /*   vec :: The address of target vector.                                */ 
  /*                                                                       */ 
  /* @return:                                                              */ 
  /*   The vector length, expressed in the same units that the original    */ 
  /*   vector coordinates.                                                 */ 
  /*                                                                       */ 
  FT_EXPORT( FT_Fixed ) 
  FT_Vector_Length( FT_Vector*  vec ); 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @function:                                                            */ 
  /*    FT_Vector_Normalize                                                */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    Normalize a given vector (i.e. compute the equivalent unit         */ 
  /*    vector).                                                           */ 
  /*                                                                       */ 
  /* @inout:                                                               */ 
  /*    vec :: The address of target vector.                               */ 
  /*                                                                       */ 
  FT_EXPORT( void ) 
  FT_Vector_Normalize( FT_Vector*  vec ); 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @function:                                                            */ 
  /*    FT_Vector_Polarize                                                 */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    Compute both the length and angle of a given vector.               */ 
  /*                                                                       */ 
  /* @input:                                                               */ 
  /*    vec    :: The address of source vector.                            */ 
  /*                                                                       */ 
  /* @output:                                                              */ 
  /*    length :: The vector length.                                       */ 
  /*    angle  :: The vector angle.                                        */ 
  /*                                                                       */ 
  FT_EXPORT( void ) 
  FT_Vector_Polarize( FT_Vector*  vec, 
                      FT_Fixed   *length, 
                      FT_Angle   *angle ); 
 
 
  /*************************************************************************/ 
  /*                                                                       */ 
  /* @function:                                                            */ 
  /*    FT_Vector_From_Polar                                               */ 
  /*                                                                       */ 
  /* @description:                                                         */ 
  /*    Compute vector coordinates from a length and angle.                */ 
  /*                                                                       */ 
  /* @output:                                                              */ 
  /*    vec    :: The address of source vector.                            */ 
  /*                                                                       */ 
  /* @input:                                                               */ 
  /*    length :: The vector length.                                       */ 
  /*    angle  :: The vector angle.                                        */ 
  /*                                                                       */ 
  FT_EXPORT( void ) 
  FT_Vector_From_Polar( FT_Vector*  vec, 
                        FT_Fixed    length, 
                        FT_Angle    angle ); 
 
  /* */ 
 
 
FT_END_HEADER 
 
#endif /* __FTTRIGON_H__ */ 
 
 
/* END */