fttrigon.h File Reference

Go to the source code of this file.

Macros
#define	FT_ANGLE_PI   ( 180L << 16 )
#define	FT_ANGLE_2PI   ( FT_ANGLE_PI * 2 )
#define	FT_ANGLE_PI2   ( FT_ANGLE_PI / 2 )
#define	FT_ANGLE_PI4   ( FT_ANGLE_PI / 4 )

Functions
	FT_Sin (FT_Angle angle)
	FT_Cos (FT_Angle angle)
	FT_Tan (FT_Angle angle)
	FT_Atan2 (FT_Fixed x, FT_Fixed y)
	FT_Angle_Diff (FT_Angle angle1, FT_Angle angle2)
	FT_Vector_Unit (FT_Vector *vec, FT_Angle angle)
	FT_Vector_Rotate (FT_Vector *vec, FT_Angle angle)
	FT_Vector_Length (FT_Vector *vec)
	FT_Vector_Polarize (FT_Vector *vec, FT_Fixed *length, FT_Angle *angle)
	FT_Vector_From_Polar (FT_Vector *vec, FT_Fixed length, FT_Angle angle)

Variables
FT_BEGIN_HEADER typedef FT_Fixed	FT_Angle

Macro Definition Documentation

FT_ANGLE_2PI

#define FT_ANGLE_2PI   ( FT_ANGLE_PI * 2 )

Definition at line 76 of file fttrigon.h.

FT_ANGLE_PI

#define FT_ANGLE_PI   ( 180L << 16 )

Definition at line 64 of file fttrigon.h.

FT_ANGLE_PI2

#define FT_ANGLE_PI2   ( FT_ANGLE_PI / 2 )

Definition at line 88 of file fttrigon.h.

FT_ANGLE_PI4

#define FT_ANGLE_PI4   ( FT_ANGLE_PI / 4 )

Definition at line 100 of file fttrigon.h.

Function Documentation

FT_Angle_Diff()

FT_Angle_Diff	(	FT_Angle	angle1,
		FT_Angle	angle2
	)

Definition at line 502 of file fttrigon.c.

  {
    FT_Angle  delta = angle2 - angle1;
 
 
    while ( delta <= -FT_ANGLE_PI )
      delta += FT_ANGLE_2PI;
 
    while ( delta > FT_ANGLE_PI )
      delta -= FT_ANGLE_2PI;
 
    return delta;
  }

Referenced by ft_angle_mean(), ft_conic_is_small_enough(), ft_cubic_is_small_enough(), ft_stroker_arcto(), FT_Stroker_ConicTo(), FT_Stroker_CubicTo(), FT_Stroker_EndSubPath(), ft_stroker_inside(), ft_stroker_outside(), and ft_stroker_process_corner().

FT_Atan2()

FT_Atan2	(	FT_Fixed	x,
		FT_Fixed	y
	)

Definition at line 340 of file fttrigon.c.

  {
    FT_Vector  v;
 
 
    if ( dx == 0 && dy == 0 )
      return 0;
 
    v.x = dx;
    v.y = dy;
    ft_trig_prenorm( &v );
    ft_trig_pseudo_polarize( &v );
 
    return v.y;
  }

Referenced by ft_conic_is_small_enough(), ft_cubic_is_small_enough(), FT_Stroker_ConicTo(), FT_Stroker_CubicTo(), and FT_Stroker_LineTo().

FT_Cos()

FT_Cos

(

FT_Angle

angle

)

Definition at line 298 of file fttrigon.c.

  {
    FT_Vector  v;
 
 
    FT_Vector_Unit( &v, angle );
 
    return v.x;
  }

Referenced by ft_stroke_border_arcto(), FT_Stroker_ConicTo(), FT_Stroker_CubicTo(), ft_stroker_inside(), and ft_stroker_outside().

FT_Sin()

FT_Sin

(

FT_Angle

angle

)

Definition at line 312 of file fttrigon.c.

  {
    FT_Vector  v;
 
 
    FT_Vector_Unit( &v, angle );
 
    return v.y;
  }

Referenced by ft_stroke_border_arcto(), FT_Stroker_ConicTo(), FT_Stroker_CubicTo(), and ft_stroker_outside().

FT_Tan()

FT_Tan

(

FT_Angle

angle

)

Definition at line 326 of file fttrigon.c.

  {
    FT_Vector  v = { 1 << 24, 0 };
 
 
    ft_trig_pseudo_rotate( &v, angle );
 
    return FT_DivFix( v.y, v.x );
  }

Referenced by ft_stroker_inside().

FT_Vector_From_Polar()

FT_Vector_From_Polar	(	FT_Vector *	vec,
		FT_Fixed	length,
		FT_Angle	angle
	)

Definition at line 485 of file fttrigon.c.

  {
    if ( !vec )
      return;
 
    vec->x = length;
    vec->y = 0;
 
    FT_Vector_Rotate( vec, angle );
  }

Referenced by ft_stroke_border_arcto(), ft_stroker_cap(), FT_Stroker_ConicTo(), FT_Stroker_CubicTo(), ft_stroker_inside(), FT_Stroker_LineTo(), ft_stroker_outside(), and ft_stroker_subpath_start().

FT_Vector_Length()

FT_Vector_Length

(

FT_Vector *

vec

)

Definition at line 418 of file fttrigon.c.

  {
    FT_Int     shift;
    FT_Vector  v;
 
 
    if ( !vec )
      return 0;
 
    v = *vec;
 
    /* handle trivial cases */
    if ( v.x == 0 )
    {
      return FT_ABS( v.y );
    }
    else if ( v.y == 0 )
    {
      return FT_ABS( v.x );
    }
 
    /* general case */
    shift = ft_trig_prenorm( &v );
    ft_trig_pseudo_polarize( &v );
 
    v.x = ft_trig_downscale( v.x );
 
    if ( shift > 0 )
      return ( v.x + ( 1L << ( shift - 1 ) ) ) >> shift;
 
    return (FT_Fixed)( (FT_UInt32)v.x << -shift );
  }

Referenced by FT_Hypot(), FT_Stroker_ConicTo(), FT_Stroker_CubicTo(), and FT_Stroker_LineTo().

FT_Vector_Polarize()

FT_Vector_Polarize	(	FT_Vector *	vec,
		FT_Fixed *	length,
		FT_Angle *	angle
	)

Definition at line 455 of file fttrigon.c.

  {
    FT_Int     shift;
    FT_Vector  v;
 
 
    if ( !vec || !length || !angle )
      return;
 
    v = *vec;
 
    if ( v.x == 0 && v.y == 0 )
      return;
 
    shift = ft_trig_prenorm( &v );
    ft_trig_pseudo_polarize( &v );
 
    v.x = ft_trig_downscale( v.x );
 
    *length = shift >= 0 ?                      ( v.x >>  shift )
                         : (FT_Fixed)( (FT_UInt32)v.x << -shift );
    *angle  = v.y;
  }

FT_Vector_Rotate()

FT_Vector_Rotate	(	FT_Vector *	vec,
		FT_Angle	angle
	)

Definition at line 378 of file fttrigon.c.

  {
    FT_Int     shift;
    FT_Vector  v;
 
 
    if ( !vec || !angle )
      return;
 
    v = *vec;
 
    if ( v.x == 0 && v.y == 0 )
      return;
 
    shift = ft_trig_prenorm( &v );
    ft_trig_pseudo_rotate( &v, angle );
    v.x = ft_trig_downscale( v.x );
    v.y = ft_trig_downscale( v.y );
 
    if ( shift > 0 )
    {
      FT_Int32  half = (FT_Int32)1L << ( shift - 1 );
 
 
      vec->x = ( v.x + half - ( v.x < 0 ) ) >> shift;
      vec->y = ( v.y + half - ( v.y < 0 ) ) >> shift;
    }
    else
    {
      shift  = -shift;
      vec->x = (FT_Pos)( (FT_ULong)v.x << shift );
      vec->y = (FT_Pos)( (FT_ULong)v.y << shift );
    }
  }

Referenced by FT_Vector_From_Polar().

FT_Vector_Unit()

FT_Vector_Unit	(	FT_Vector *	vec,
		FT_Angle	angle
	)

Definition at line 361 of file fttrigon.c.

  {
    if ( !vec )
      return;
 
    vec->x = FT_TRIG_SCALE >> 8;
    vec->y = 0;
    ft_trig_pseudo_rotate( vec, angle );
    vec->x = ( vec->x + 0x80L ) >> 8;
    vec->y = ( vec->y + 0x80L ) >> 8;
  }

Referenced by FT_Cos(), FT_Sin(), and IntEscapeMatrix().

Variable Documentation

FT_Angle

FT_BEGIN_HEADER typedef FT_Fixed FT_Angle

Definition at line 52 of file fttrigon.h.

Referenced by FT_Angle_Diff(), ft_conic_is_small_enough(), ft_cubic_is_small_enough(), ft_stroke_border_arcto(), ft_stroker_arcto(), ft_stroker_cap(), FT_Stroker_ConicTo(), FT_Stroker_CubicTo(), FT_Stroker_EndSubPath(), ft_stroker_inside(), FT_Stroker_LineTo(), ft_stroker_outside(), ft_stroker_process_corner(), ft_trig_pseudo_polarize(), ft_trig_pseudo_rotate(), and IntEscapeMatrix().