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* include/freetype/ftbbox.h: FTBBOX_H -> __FTBBOX_H__. 

* include/freetype/fttrigon.h: __FT_TRIGONOMETRY_H__ ->
__FTTRIGON_H__.
Include FT_FREETYPE_H.
Beautified; added copyright.
* src/base/fttrigon.c: Beautified; added copyright.
This commit is contained in:
Werner Lemberg 2001-05-12 18:04:08 +00:00
parent 3bf46a41b9
commit c634580a51
4 changed files with 290 additions and 196 deletions
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9
ChangeLog
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@ -1,3 +1,12 @@
2001-05-12 Werner Lemberg <wl@gnu.org>
* include/freetype/ftbbox.h: FTBBOX_H -> __FTBBOX_H__.
* include/freetype/fttrigon.h: __FT_TRIGONOMETRY_H__ ->
__FTTRIGON_H__.
Include FT_FREETYPE_H.
Beautified; added copyright.
* src/base/fttrigon.c: Beautified; added copyright.
2001-05-11 David Turner <david@freetype.org>
* src/cff/cffparse.c (cff_parse_font_matrix), src/cid/cidload.c

6
include/freetype/ftbbox.h
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@ -27,8 +27,8 @@
/*************************************************************************/
#ifndef FTBBOX_H
#define FTBBOX_H
#ifndef __FTBBOX_H__
#define __FTBBOX_H__
#include <ft2build.h>
@ -76,7 +76,7 @@ FT_BEGIN_HEADER
FT_END_HEADER
#endif /* FTBBOX_H */
#endif /* __FTBBOX_H__ */
/* END */

210
include/freetype/fttrigon.h
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@ -1,213 +1,265 @@
#ifndef __FT_TRIGONOMETRY_H__
#define __FT_TRIGONOMETRY_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 FT_FREETYPE_H
FT_BEGIN_HEADER
/***************************************************************************
*
* @section: computations
* @section:
* computations
*
*/
/***************************************************************************
*
* @type: FT_Angle
* @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_
* 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;
typedef FT_Fixed FT_Angle;
/***************************************************************************
*
* @macro: FT_ANGLE_PI
* @macro:
* FT_ANGLE_PI
*
* @description:
* the angle pi expressed in @FT_Angle units
* The angle pi expressed in @FT_Angle units.
*/
#define FT_ANGLE_PI (180L << 16)
#define FT_ANGLE_PI ( 180L << 16 )
/***************************************************************************
*
* @macro: FT_ANGLE_2PI
* @macro:
* FT_ANGLE_2PI
*
* @description:
* the angle 2pi expressed in @FT_Angle units
* The angle 2*pi expressed in @FT_Angle units.
*/
#define FT_ANGLE_2PI (FT_ANGLE_PI*2)
#define FT_ANGLE_2PI ( FT_ANGLE_PI * 2 )
/***************************************************************************
*
* @macro: FT_ANGLE_PI2
* @macro:
* FT_ANGLE_PI2
*
* @description:
* the angle pi/2 expressed in @FT_Angle units
* The angle pi/2 expressed in @FT_Angle units.
*/
#define FT_ANGLE_PI2 (FT_ANGLE_PI/2)
#define FT_ANGLE_PI2 ( FT_ANGLE_PI / 2 )
/***************************************************************************
*
* @macro: FT_ANGLE_PI4
* @macro:
* FT_ANGLE_PI4
*
* @description:
* the angle pi/4 expressed in @FT_Angle units
* The angle pi/4 expressed in @FT_Angle units.
*/
#define FT_ANGLE_PI4 (FT_ANGLE_PI/4)
#define FT_ANGLE_PI4 ( FT_ANGLE_PI / 4 )
/***************************************************************************
*
* @function: FT_Sin
* @function:
* FT_Sin
*
* @description:
* return the sinus of a given angle in fixed point format
* Return the sinus of a given angle in fixed point format.
*
* @input:
* angle :: input angle
* angle :: The input angle.
*
* @return:
* sinus value
* The sinus value.
*
* @note:
* if you need both the sinus and cosinus for a given angle, you'd
* better use the function @FT_Vector_Unit
* 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 );
FT_EXPORT( FT_Fixed ) FT_Sin( FT_Angle angle );
/***************************************************************************
*
* @function: FT_Cos
* @function:
* FT_Cos
*
* @description:
* return the cosinus of a given angle in fixed point format
* Return the cosinus of a given angle in fixed point format.
*
* @input:
* angle :: input angle
* angle :: The input angle.
*
* @return:
* cosinus value
* The cosinus value.
*
* @note:
* if you need both the sinus and cosinus for a given angle, you'd
* better use the function @FT_Vector_Unit
* 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 );
FT_EXPORT( FT_Fixed ) FT_Cos( FT_Angle angle );
/***************************************************************************
*
* @function: FT_Tan
* @function:
* FT_Tan
*
* @description:
* return the tangent of a given angle in fixed point format
* Return the tangent of a given angle in fixed point format.
*
* @input:
* angle :: input angle
* angle :: The input angle.
*
* @return:
* tangent value
* The tangent value.
*/
FT_EXPORT(FT_Fixed) FT_Tan( FT_Angle angle );
FT_EXPORT( FT_Fixed ) FT_Tan( FT_Angle angle );
/***************************************************************************
*
* @function: FT_Atan2
* @function:
* FT_Atan2
*
* @description:
* return the arc-tangent corresponding to a given vector (x,y) in
* the 2d plane
* Return the arc-tangent corresponding to a given vector (x,y) in
* the 2d plane.
*
* @input:
* x :: horizontal vector coordinate
* y :: vertical vector coordinate
* x :: The horizontal vector coordinate.
* y :: The vertical vector coordinate.
*
* @return:
* arc-tangent value (i.e. angle)
* The arc-tangent value (i.e. angle).
*/
FT_EXPORT(FT_Angle) FT_Atan2( FT_Fixed x, FT_Fixed y );
FT_EXPORT( FT_Angle ) FT_Atan2( FT_Fixed x, FT_Fixed y );
/***************************************************************************
*
* @function: FT_Vector_Unit
* @function:
* FT_Vector_Unit
*
* @description:
* return the unit vector corresponding to a given angle. After the call,
* Return the unit vector corresponding to a given angle. After the call,
* the value of "vec.x" will be "sin(theta)", and the value of "vec.y"
* will be "cos(angle)"
* will be "cos(angle)".
*
* this function is useful to retrieve both the sinus and cosinus
* of a given angle quickly
* This function is useful to retrieve both the sinus and cosinus of a
* given angle quickly.
*
* @input:
* vec :: address of target vector
* angle :: address of angle
* vec :: The address of target vector.
* angle :: The address of angle.
*/
FT_EXPORT(void) FT_Vector_Unit( FT_Vector* vec,
FT_Angle angle );
FT_EXPORT( void ) FT_Vector_Unit( FT_Vector* vec,
FT_Angle angle );
/***************************************************************************
*
* @function: FT_Vector_Rotate
* @function:
* FT_Vector_Rotate
*
* @description:
* rotate a given vector by a given angle
* Rotate a vector by a given angle.
*
* @input:
* vec :: address of target vector
* angle :: address of angle
* vec :: The address of target vector.
* angle :: The address of angle.
*/
FT_EXPORT(void) FT_Vector_Rotate( FT_Vector* vec,
FT_Angle angle );
FT_EXPORT( void ) FT_Vector_Rotate( FT_Vector* vec,
FT_Angle angle );
/***************************************************************************
*
* @function: FT_Vector_Length
* @function:
* FT_Vector_Length
*
* @description:
* returns the length of a given vector
* Return the length of a given vector.
*
* @input:
* vec :: address of target vector
* vec :: The address of target vector.
*
* @return:
* vector length, expressed in the same units that the original
* vector coordinates !!
* The vector length, expressed in the same units that the original
* vector coordinates.
*/
FT_EXPORT(FT_Fixed) FT_Vector_Length( FT_Vector* vec );
FT_EXPORT( FT_Fixed ) FT_Vector_Length( FT_Vector* vec );
/***************************************************************************
*
* @function: FT_Vector_Normalize
* @function:
* FT_Vector_Normalize
*
* @description:
* normalize a given vector (i.e. compute the equivalent unit vector)
* Normalize a given vector (i.e. compute the equivalent unit vector).
*
* @input:
* vec :: address of target vector
* vec :: The address of target vector.
*/
FT_EXPORT(void) FT_Vector_Normalize( FT_Vector* vec );
FT_EXPORT( void ) FT_Vector_Normalize( FT_Vector* vec );
/***************************************************************************
*
* @function: FT_Vector_Polarize
* @function:
* FT_Vector_Polarize
*
* @description:
* compute both the length and angle of a given vector
* Compute both the length and angle of a given vector.
*
* @input:
* vec :: address of source vector
* vec :: The address of source vector.
*
* @output:
* length :: vector length
* angle :: vector angle
* length :: The vector length.
* angle :: The vector angle.
*/
FT_EXPORT(void) FT_Vector_Polarize( FT_Vector* vec,
FT_Fixed *length,
FT_Angle *angle );
FT_EXPORT( void ) FT_Vector_Polarize( FT_Vector* vec,
FT_Fixed *length,
FT_Angle *angle );
/* */
FT_END_HEADER
#endif /* __FT_TRIGONOMETRY_H__ */
#endif /* __FTTRIGON_H__ */
/* END */

261
src/base/fttrigon.c
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@ -1,70 +1,89 @@
/***************************************************************************/
/* */
/* fttrigon.c */
/* */
/* FreeType trigonometric functions (body). */
/* */
/* 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. */
/* */
/***************************************************************************/
#include <ft2build.h>
#include FT_TRIGONOMETRY_H
/* the following is 0.2715717684432231 * 2^30 */
#define FT_TRIG_COSCALE 0x11616E8E /* 291597966 = 0.2715717684432241 * 2^30, valid for j>13 */
/* the following is 0.2715717684432231 * 2^30 */
#define FT_TRIG_COSCALE 0x11616E8EUL
/* this table was generated for FT_PI = 180L << 16, i.e. degrees */
#define FT_TRIG_MAX_ITERS 23
#define FT_TRIG_MAX_ITERS 23
static const FT_Fixed
ft_trig_arctan_table[ 24 ] =
ft_trig_arctan_table[24] =
{
4157273, 2949120, 1740967, 919879, 466945, 234379, 117304, 58666,
29335, 14668, 7334, 3667, 1833, 917, 458, 229, 115, 57, 29, 14, 7,
4, 2, 1
};
/* the Cordic shrink factor, multiplied by 2^32 */
#define FT_TRIG_SCALE 1166391785UL /* 0x4585BA38UL */
/* the Cordic shrink factor, multiplied by 2^32 */
#define FT_TRIG_SCALE 1166391785 /* 0x4585BA38U */
#ifdef FT_CONFIG_HAS_INT64
/* multiply a given value by the CORDIC shrink factor */
static FT_Fixed
ft_trig_downscale( FT_Fixed val )
/* multiply a given value by the CORDIC shrink factor */
static FT_Fixed ft_trig_downscale( FT_Fixed val )
{
FT_Fixed s;
FT_Int64 v;
s = val;
val = (val >= 0) ? val : -val;
val = ( val >= 0 ) ? val : -val;
v = (val * (FT_Int64)FT_TRIG_SCALE) + 0x100000000L;
val = (FT_Fixed)(v >> 32);
v = ( val * (FT_Int64)FT_TRIG_SCALE ) + 0x100000000UL;
val = (FT_Fixed)( v >> 32 );
return ( s >= 0 ) ? val : -val;
}
#else /* !FT_CONFIG_HAS_INT64 */
/* multiply a given value by the CORDIC shrink factor */
static FT_Fixed
ft_trig_downscale( FT_Fixed val )
/* multiply a given value by the CORDIC shrink factor */
static FT_Fixed ft_trig_downscale( FT_Fixed val )
{
FT_Fixed s;
FT_UInt32 v1, v2, k1, k2, hi, lo1, lo2, lo3;
s = val;
val = ( val >= 0 ) ? val : -val;
v1 = (FT_UInt32)val >> 16;
v2 = (FT_UInt32)val & 0xFFFF;
k1 = FT_TRIG_SCALE >> 16; /* constant */
k2 = FT_TRIG_SCALE & 0xFFFF; /* constant */
k1 = FT_TRIG_SCALE >> 16; /* constant */
k2 = FT_TRIG_SCALE & 0xFFFF; /* constant */
hi = k1*v1;
lo1 = k1*v2 + k2*v1; /* can't overflow */
hi = k1 * v1;
lo1 = k1 * v2 + k2 * v1; /* can't overflow */
lo2 = k2*v2 >> 16;
lo2 = ( k2 * v2 ) >> 16;
lo3 = ( lo1 >= lo2 ) ? lo1 : lo2;
lo1 += lo2;
hi += lo1 >> 16;
if (lo1 < lo3)
hi += 0x10000U;
if ( lo1 < lo3 )
hi += 0x10000UL;
val = (FT_Fixed)hi;
@ -74,67 +93,65 @@
#endif /* !FT_CONFIG_HAS_INT64 */
static FT_Int
ft_trig_prenorm( FT_Vector* vec )
static FT_Int ft_trig_prenorm( FT_Vector* vec )
{
FT_Fixed x, y, z;
FT_Int shift;
x = vec->x;
y = vec->y;
z = (( x >= 0 ) ? x : - x) | ((y >= 0) ? y : -y);
z = ( ( x >= 0 ) ? x : - x ) | ( (y >= 0) ? y : -y );
shift = 0;
if ( z < (1L << 27) )
if ( z < ( 1L << 27 ) )
{
do
{
shift++;
z <<= 1;
}
while ( z < (1L << 27) );
} while ( z < ( 1L << 27 ) );
vec->x = (x << shift);
vec->y = (y << shift);
vec->x = x << shift;
vec->y = y << shift;
}
else if ( z > (1L << 28 ) )
else if ( z > ( 1L << 28 ) )
{
do
{
shift++;
z >>= 1;
}
while ( z > (1L << 28) );
} while ( z > ( 1L << 28 ) );
vec->x = (x >> shift);
vec->y = (y >> shift);
vec->x = x >> shift;
vec->y = y >> shift;
shift = -shift;
}
return shift;
}
static void
ft_trig_pseudo_rotate( FT_Vector* vec, FT_Angle theta )
static void ft_trig_pseudo_rotate( FT_Vector* vec,
FT_Angle theta )
{
FT_Int i;
FT_Fixed x, y, xtemp;
const FT_Fixed *arctanptr;
FT_Int i;
FT_Fixed x, y, xtemp;
const FT_Fixed *arctanptr;
x = vec->x;
y = vec->y;
/* Get angle between -90 and 90 degrees */
while (theta <= -FT_ANGLE_PI2)
while ( theta <= -FT_ANGLE_PI2 )
{
x = -x;
y = -y;
theta += FT_ANGLE_PI;
}
while (theta > FT_ANGLE_PI2)
while ( theta > FT_ANGLE_PI2 )
{
x = -x;
y = -y;
@ -143,17 +160,18 @@
/* Initial pseudorotation, with left shift */
arctanptr = ft_trig_arctan_table;
if (theta < 0)
if ( theta < 0 )
{
xtemp = x + (y << 1);
y = y - (x << 1);
xtemp = x + ( y << 1 );
y = y - ( x << 1 );
x = xtemp;
theta += *arctanptr++;
}
else
{
xtemp = x - (y << 1);
y = y + (x << 1);
xtemp = x - ( y << 1 );
y = y + ( x << 1 );
x = xtemp;
theta -= *arctanptr++;
}
@ -162,90 +180,89 @@
i = 0;
do
{
if (theta < 0)
if ( theta < 0 )
{
xtemp = x + (y >> i);
y = y - (x >> i);
x = xtemp;
xtemp = x + ( y >> i );
y = y - ( x >> i );
x = xtemp;
theta += *arctanptr++;
}
else
{
xtemp = x - (y >> i);
y = y + (x >> i);
xtemp = x - ( y >> i );
y = y + ( x >> i );
x = xtemp;
theta -= *arctanptr++;
}
}
while ( ++i < FT_TRIG_MAX_ITERS );
} while ( ++i < FT_TRIG_MAX_ITERS );
vec->x = x;
vec->y = y;
}
static void
ft_trig_pseudo_polarize( FT_Vector* vec )
static void ft_trig_pseudo_polarize( FT_Vector* vec )
{
FT_Fixed theta;
FT_Fixed yi, i;
FT_Fixed x, y;
const FT_Fixed *arctanptr;
FT_Fixed theta;
FT_Fixed yi, i;
FT_Fixed x, y;
const FT_Fixed *arctanptr;
x = vec->x;
y = vec->y;
/* Get the vector into the right half plane */
theta = 0;
if (x < 0)
if ( x < 0 )
{
x = -x;
y = -y;
theta = 2 * FT_ANGLE_PI2;
}
if (y > 0)
if ( y > 0 )
theta = - theta;
arctanptr = ft_trig_arctan_table;
if (y < 0)
if ( y < 0 )
{
/* Rotate positive */
yi = y + (x << 1);
x = x - (y << 1);
y = yi;
yi = y + ( x << 1 );
x = x - ( y << 1 );
y = yi;
theta -= *arctanptr++; /* Subtract angle */
}
else
{
/* Rotate negative */
yi = y - (x << 1);
x = x + (y << 1);
y = yi;
yi = y - ( x << 1 );
x = x + ( y << 1 );
y = yi;
theta += *arctanptr++; /* Add angle */
}
i = 0;
do
{
if (y < 0)
if ( y < 0 )
{
/* Rotate positive */
yi = y + (x >> i);
x = x - (y >> i);
y = yi;
yi = y + ( x >> i );
x = x - ( y >> i );
y = yi;
theta -= *arctanptr++;
}
else
{
/* Rotate negative */
yi = y - (x >> i);
x = x + (y >> i);
y = yi;
yi = y - ( x >> i );
x = x + ( y >> i );
y = yi;
theta += *arctanptr++;
}
}
while (++i < FT_TRIG_MAX_ITERS);
} while ( ++i < FT_TRIG_MAX_ITERS );
/* round theta */
if ( theta >= 0 )
@ -258,11 +275,13 @@
}
FT_EXPORT_DEF(FT_Fixed)
FT_Cos( FT_Angle angle )
/* documentation is in fttrigon.h */
FT_EXPORT_DEF( FT_Fixed ) FT_Cos( FT_Angle angle )
{
FT_Vector v;
v.x = FT_TRIG_COSCALE >> 2;
v.y = 0;
ft_trig_pseudo_rotate( &v, angle );
@ -271,18 +290,21 @@
}
FT_EXPORT_DEF(FT_Fixed)
FT_Sin( FT_Angle angle )
/* documentation is in fttrigon.h */
FT_EXPORT_DEF( FT_Fixed ) FT_Sin( FT_Angle angle )
{
return FT_Cos( FT_ANGLE_PI2-angle );
return FT_Cos( FT_ANGLE_PI2 - angle );
}
FT_EXPORT_DEF(FT_Fixed)
FT_Tan( FT_Angle angle )
/* documentation is in fttrigon.h */
FT_EXPORT_DEF( FT_Fixed ) FT_Tan( FT_Angle angle )
{
FT_Vector v;
v.x = FT_TRIG_COSCALE >> 2;
v.y = 0;
ft_trig_pseudo_rotate( &v, angle );
@ -291,13 +313,14 @@
}
/* documentation is in fttrigon.h */
FT_EXPORT_DEF(FT_Angle)
FT_Atan2( FT_Fixed dx,
FT_Fixed dy )
FT_EXPORT_DEF( FT_Angle ) FT_Atan2( FT_Fixed dx,
FT_Fixed dy )
{
FT_Vector v;
if ( dx == 0 && dy == 0 )
return 0;
@ -305,31 +328,36 @@
v.y = dy;
ft_trig_prenorm( &v );
ft_trig_pseudo_polarize( &v );
return v.y;
}
FT_EXPORT_DEF(void)
FT_Vector_Unit( FT_Vector* vec,
FT_Angle angle )
/* documentation is in fttrigon.h */
FT_EXPORT_DEF( void ) FT_Vector_Unit( FT_Vector* vec,
FT_Angle angle )
{
vec->x = FT_TRIG_COSCALE >> 2;
vec->y = 0;
ft_trig_pseudo_rotate( vec, angle );
vec->x >>= 12;
vec->y >>= 12;
vec->x = FT_TRIG_COSCALE >> 2;
vec->y = 0;
ft_trig_pseudo_rotate( vec, angle );
vec->x >>= 12;
vec->y >>= 12;
}
FT_EXPORT_DEF(void)
FT_Vector_Rotate( FT_Vector* vec,
FT_Angle angle )
/* documentation is in fttrigon.h */
FT_EXPORT_DEF( void ) FT_Vector_Rotate( FT_Vector* vec,
FT_Angle angle )
{
FT_Int shift;
FT_Vector v;
v.x = vec->x;
v.y = vec->y;
if ( angle && ( v.x != 0 || v.y != 0 ) )
{
shift = ft_trig_prenorm( &v );
@ -352,12 +380,14 @@
}
FT_EXPORT_DEF(FT_Fixed)
FT_Vector_Length( FT_Vector* vec )
/* documentation is in fttrigon.h */
FT_EXPORT_DEF( FT_Fixed ) FT_Vector_Length( FT_Vector* vec )
{
FT_Int shift;
FT_Vector v;
FT_Int shift;
FT_Vector v;
v = *vec;
/* handle trivial cases */
@ -375,17 +405,19 @@
ft_trig_pseudo_polarize( &v );
v.x = ft_trig_downscale( v.x );
return ( shift >= 0 ) ? (v.x >> shift) : (v.x << -shift);
return ( shift >= 0 ) ? ( v.x >> shift ) : ( v.x << -shift );
}
FT_EXPORT_DEF(void)
FT_Vector_Polarize( FT_Vector* vec,
FT_Fixed *length,
FT_Angle *angle )
/* documentation is in fttrigon.h */
FT_EXPORT_DEF( void ) FT_Vector_Polarize( FT_Vector* vec,
FT_Fixed *length,
FT_Angle *angle )
{
FT_Int shift;
FT_Vector v;
FT_Int shift;
FT_Vector v;
v = *vec;
@ -397,8 +429,9 @@
v.x = ft_trig_downscale( v.x );
*length = ( shift >= 0 ) ? (v.x >> shift) : (v.x << -shift);
*length = ( shift >= 0 ) ? ( v.x >> shift ) : ( v.x << -shift );
*angle = v.y;
}
/* END */