assorted updates from John Fay

git-svn-id: https://svn.code.sf.net/p/freeglut/code/trunk@517 7f0cb862-5218-0410-a997-914c9d46530a
This commit is contained in:
brianp 2004-09-23 14:34:05 +00:00
parent 228c4bd617
commit 8e94eb798b
2 changed files with 84 additions and 120 deletions

View File

@ -131,7 +131,7 @@ static void fghCircleTable(double **sint,double **cost,const int n)
/* Determine the angle between samples */
const double angle = 2*M_PI/(double)n;
const double angle = 2*M_PI/(double)( ( n == 0 ) ? 1 : n );
/* Allocate memory for n samples, plus duplicate of first entry at the end */
@ -149,7 +149,10 @@ static void fghCircleTable(double **sint,double **cost,const int n)
/* Compute cos and sin around the circle */
for (i=0; i<size; i++)
(*sint)[0] = 0.0;
(*cost)[0] = 1.0;
for (i=1; i<size; i++)
{
(*sint)[i] = sin(angle*i);
(*cost)[i] = cos(angle*i);
@ -183,9 +186,9 @@ void FGAPIENTRY glutSolidSphere(GLdouble radius, GLint slices, GLint stacks)
/* The top stack is covered with a triangle fan */
z0 = 1.0;
z1 = cost2[1];
z1 = cost2[(stacks>0)?1:0];
r0 = 0.0;
r1 = sint2[1];
r1 = sint2[(stacks>0)?1:0];
glBegin(GL_TRIANGLE_FAN);
@ -325,8 +328,8 @@ void FGAPIENTRY glutSolidCone( GLdouble base, GLdouble height, GLint slices, GLi
double z0,z1;
double r0,r1;
const double zStep = height/stacks;
const double rStep = base/stacks;
const double zStep = height / ( ( stacks > 0 ) ? stacks : 1 );
const double rStep = base / ( ( stacks > 0 ) ? stacks : 1 );
/* Scaling factors for vertex normals */
@ -409,8 +412,8 @@ void FGAPIENTRY glutWireCone( GLdouble base, GLdouble height, GLint slices, GLin
double z = 0.0;
double r = base;
const double zStep = height/stacks;
const double rStep = base/stacks;
const double zStep = height / ( ( stacks > 0 ) ? stacks : 1 );
const double rStep = base / ( ( stacks > 0 ) ? stacks : 1 );
/* Scaling factors for vertex normals */
@ -471,8 +474,8 @@ void FGAPIENTRY glutSolidCylinder(GLdouble radius, GLdouble height, GLint slices
/* Step in z and radius as stacks are drawn. */
double z0,z1;
const double zStep = height/stacks;
double z0,z1;
const double zStep = height / ( ( stacks > 0 ) ? stacks : 1 );
/* Pre-computed circle */
@ -533,7 +536,7 @@ void FGAPIENTRY glutWireCylinder(GLdouble radius, GLdouble height, GLint slices,
/* Step in z and radius as stacks are drawn. */
double z = 0.0;
const double zStep = height/stacks;
const double zStep = height / ( ( stacks > 0 ) ? stacks : 1 );
/* Pre-computed circle */
@ -588,6 +591,8 @@ void FGAPIENTRY glutWireTorus( GLdouble dInnerRadius, GLdouble dOuterRadius, GLi
double *vertex, *normal;
int i, j;
double spsi, cpsi, sphi, cphi ;
if ( nSides < 1 ) nSides = 1;
if ( nRings < 1 ) nRings = 1;
/* Allocate the vertices array */
vertex = (double *)calloc( sizeof(double), 3 * nSides * nRings );
@ -664,6 +669,8 @@ void FGAPIENTRY glutSolidTorus( GLdouble dInnerRadius, GLdouble dOuterRadius, GL
double *vertex, *normal;
int i, j;
double spsi, cpsi, sphi, cphi ;
if ( nSides < 1 ) nSides = 1;
if ( nRings < 1 ) nRings = 1;
/* Increment the number of sides and rings to allow for one more point than surface */
nSides ++ ;
@ -836,13 +843,13 @@ void FGAPIENTRY glutWireOctahedron( void )
#define RADIUS 1.0f
glBegin( GL_LINE_LOOP );
glNormal3d( 0.577350269189, 0.577350269189, 0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
glNormal3d( 0.577350269189, 0.577350269189,-0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
glNormal3d( 0.577350269189,-0.577350269189, 0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
glNormal3d( 0.577350269189, 0.577350269189,-0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS ); glVertex3d( 0.0, RADIUS, 0.0 );
glNormal3d( 0.577350269189,-0.577350269189, 0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS ); glVertex3d( 0.0,-RADIUS, 0.0 );
glNormal3d( 0.577350269189,-0.577350269189,-0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
glNormal3d(-0.577350269189, 0.577350269189, 0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
glNormal3d(-0.577350269189, 0.577350269189, 0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS ); glVertex3d( 0.0, RADIUS, 0.0 );
glNormal3d(-0.577350269189, 0.577350269189,-0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
glNormal3d(-0.577350269189,-0.577350269189, 0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
glNormal3d(-0.577350269189,-0.577350269189,-0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
glNormal3d(-0.577350269189,-0.577350269189,-0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS ); glVertex3d( 0.0,-RADIUS, 0.0 );
glEnd();
#undef RADIUS
}
@ -855,42 +862,49 @@ void FGAPIENTRY glutSolidOctahedron( void )
#define RADIUS 1.0f
glBegin( GL_TRIANGLES );
glNormal3d( 0.577350269189, 0.577350269189, 0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
glNormal3d( 0.577350269189, 0.577350269189,-0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
glNormal3d( 0.577350269189,-0.577350269189, 0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
glNormal3d( 0.577350269189, 0.577350269189,-0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS ); glVertex3d( 0.0, RADIUS, 0.0 );
glNormal3d( 0.577350269189,-0.577350269189, 0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS ); glVertex3d( 0.0,-RADIUS, 0.0 );
glNormal3d( 0.577350269189,-0.577350269189,-0.577350269189); glVertex3d( RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
glNormal3d(-0.577350269189, 0.577350269189, 0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
glNormal3d(-0.577350269189, 0.577350269189, 0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS ); glVertex3d( 0.0, RADIUS, 0.0 );
glNormal3d(-0.577350269189, 0.577350269189,-0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
glNormal3d(-0.577350269189,-0.577350269189, 0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0, RADIUS );
glNormal3d(-0.577350269189,-0.577350269189,-0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0,-RADIUS, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS );
glNormal3d(-0.577350269189,-0.577350269189,-0.577350269189); glVertex3d(-RADIUS, 0.0, 0.0 ); glVertex3d( 0.0, 0.0,-RADIUS ); glVertex3d( 0.0,-RADIUS, 0.0 );
glEnd();
#undef RADIUS
}
/* Magic Numbers: r0 = ( 1, 0, 0 )
* r1 = ( -1/3, 2 sqrt(2) / 3, 0 )
* r2 = ( -1/3, -sqrt(2) / 3, sqrt(6) / 3 )
* r3 = ( -1/3, -sqrt(2) / 3, -sqrt(6) / 3 )
* |r0| = |r1| = |r2| = |r3| = 1
* Distance between any two points is 2 sqrt(6) / 3
*
* Normals: The unit normals are simply the negative of the coordinates of the point not on the surface.
*/
#define NUM_TETR_FACES 4
static GLdouble tet_r[4][3] = { { 1.0, 0.0, 0.0 },
{ -0.333333333333, 0.942809041582, 0.0 },
{ -0.333333333333, -0.471404520791, 0.816496580928 },
{ -0.333333333333, -0.471404520791, -0.816496580928 } } ;
static GLint tet_i[4][3] = /* Vertex indices */
{
{ 1, 3, 2 }, { 0, 2, 3 }, { 0, 3, 1 }, { 0, 1, 2 }
} ;
/*
*
*/
void FGAPIENTRY glutWireTetrahedron( void )
{
/* Magic Numbers: r0 = ( 1, 0, 0 )
* r1 = ( -1/3, 2 sqrt(2) / 3, 0 )
* r2 = ( -1/3, -sqrt(2) / 3, sqrt(6) / 3 )
* r3 = ( -1/3, -sqrt(2) / 3, -sqrt(6) / 3 )
* |r0| = |r1| = |r2| = |r3| = 1
* Distance between any two points is 2 sqrt(6) / 3
*
* Normals: The unit normals are simply the negative of the coordinates of the point not on the surface.
*/
double r0[3] = { 1.0, 0.0, 0.0 } ;
double r1[3] = { -0.333333333333, 0.942809041582, 0.0 } ;
double r2[3] = { -0.333333333333, -0.471404520791, 0.816496580928 } ;
double r3[3] = { -0.333333333333, -0.471404520791, -0.816496580928 } ;
glBegin( GL_LINE_LOOP ) ;
glNormal3d ( -1.0, 0.0, 0.0 ) ; glVertex3dv ( r1 ) ; glVertex3dv ( r3 ) ; glVertex3dv ( r2 ) ;
glNormal3d ( 0.333333333333, -0.942809041582, 0.0 ) ; glVertex3dv ( r0 ) ; glVertex3dv ( r2 ) ; glVertex3dv ( r3 ) ;
glNormal3d ( 0.333333333333, 0.471404520791, -0.816496580928 ) ; glVertex3dv ( r0 ) ; glVertex3dv ( r3 ) ; glVertex3dv ( r1 ) ;
glNormal3d ( 0.333333333333, 0.471404520791, 0.816496580928 ) ; glVertex3dv ( r0 ) ; glVertex3dv ( r1 ) ; glVertex3dv ( r2 ) ;
glNormal3d ( -tet_r[0][0], -tet_r[0][1], -tet_r[0][2] ) ; glVertex3dv ( tet_r[1] ) ; glVertex3dv ( tet_r[3] ) ; glVertex3dv ( tet_r[2] ) ;
glNormal3d ( -tet_r[1][0], -tet_r[1][1], -tet_r[1][2] ) ; glVertex3dv ( tet_r[0] ) ; glVertex3dv ( tet_r[2] ) ; glVertex3dv ( tet_r[3] ) ;
glNormal3d ( -tet_r[2][0], -tet_r[2][1], -tet_r[2][2] ) ; glVertex3dv ( tet_r[0] ) ; glVertex3dv ( tet_r[3] ) ; glVertex3dv ( tet_r[1] ) ;
glNormal3d ( -tet_r[3][0], -tet_r[3][1], -tet_r[3][2] ) ; glVertex3dv ( tet_r[0] ) ; glVertex3dv ( tet_r[1] ) ; glVertex3dv ( tet_r[2] ) ;
glEnd() ;
}
@ -899,26 +913,11 @@ void FGAPIENTRY glutWireTetrahedron( void )
*/
void FGAPIENTRY glutSolidTetrahedron( void )
{
/* Magic Numbers: r0 = ( 1, 0, 0 )
* r1 = ( -1/3, 2 sqrt(2) / 3, 0 )
* r2 = ( -1/3, -sqrt(2) / 3, sqrt(6) / 3 )
* r3 = ( -1/3, -sqrt(2) / 3, -sqrt(6) / 3 )
* |r0| = |r1| = |r2| = |r3| = 1
* Distance between any two points is 2 sqrt(6) / 3
*
* Normals: The unit normals are simply the negative of the coordinates of the point not on the surface.
*/
double r0[3] = { 1.0, 0.0, 0.0 } ;
double r1[3] = { -0.333333333333, 0.942809041582, 0.0 } ;
double r2[3] = { -0.333333333333, -0.471404520791, 0.816496580928 } ;
double r3[3] = { -0.333333333333, -0.471404520791, -0.816496580928 } ;
glBegin( GL_TRIANGLES ) ;
glNormal3d ( -1.0, 0.0, 0.0 ) ; glVertex3dv ( r1 ) ; glVertex3dv ( r3 ) ; glVertex3dv ( r2 ) ;
glNormal3d ( 0.333333333333, -0.942809041582, 0.0 ) ; glVertex3dv ( r0 ) ; glVertex3dv ( r2 ) ; glVertex3dv ( r3 ) ;
glNormal3d ( 0.333333333333, 0.471404520791, -0.816496580928 ) ; glVertex3dv ( r0 ) ; glVertex3dv ( r3 ) ; glVertex3dv ( r1 ) ;
glNormal3d ( 0.333333333333, 0.471404520791, 0.816496580928 ) ; glVertex3dv ( r0 ) ; glVertex3dv ( r1 ) ; glVertex3dv ( r2 ) ;
glNormal3d ( -tet_r[0][0], -tet_r[0][1], -tet_r[0][2] ) ; glVertex3dv ( tet_r[1] ) ; glVertex3dv ( tet_r[3] ) ; glVertex3dv ( tet_r[2] ) ;
glNormal3d ( -tet_r[1][0], -tet_r[1][1], -tet_r[1][2] ) ; glVertex3dv ( tet_r[0] ) ; glVertex3dv ( tet_r[2] ) ; glVertex3dv ( tet_r[3] ) ;
glNormal3d ( -tet_r[2][0], -tet_r[2][1], -tet_r[2][2] ) ; glVertex3dv ( tet_r[0] ) ; glVertex3dv ( tet_r[3] ) ; glVertex3dv ( tet_r[1] ) ;
glNormal3d ( -tet_r[3][0], -tet_r[3][1], -tet_r[3][2] ) ; glVertex3dv ( tet_r[0] ) ; glVertex3dv ( tet_r[1] ) ; glVertex3dv ( tet_r[2] ) ;
glEnd() ;
}
@ -1027,29 +1026,6 @@ void FGAPIENTRY glutSolidRhombicDodecahedron( void )
glEnd () ;
}
#define NUM_FACES 4
static GLdouble tetrahedron_v[4][3] = /* Vertices */
{
{ -0.5, -0.288675134595, -0.144337567297 },
{ 0.5, -0.288675134595, -0.144337567297 },
{ 0.0, 0.577350269189, -0.144337567297 },
{ 0.0, 0.0, 0.672159013631 }
} ;
static GLint tetrahedron_i[4][3] = /* Vertex indices */
{
{ 0, 1, 2 }, { 0, 2, 3 }, { 0, 3, 1 }, { 1, 3, 2 }
} ;
static GLdouble tetrahedron_n[4][3] = /* Normals */
{
{ 0.0, 0.0, -1.0 },
{ -0.816496580928, 0.471404520791, 0.333333333333 },
{ 0.0, -0.942809041582, 0.333333333333 },
{ 0.816496580928, 0.471404520791, 0.333333333333 }
} ;
void FGAPIENTRY glutWireSierpinskiSponge ( int num_levels, GLdouble offset[3], GLdouble scale )
{
int i, j ;
@ -1057,15 +1033,15 @@ void FGAPIENTRY glutWireSierpinskiSponge ( int num_levels, GLdouble offset[3], G
if ( num_levels == 0 )
{
for ( i = 0 ; i < NUM_FACES ; i++ )
for ( i = 0 ; i < NUM_TETR_FACES ; i++ )
{
glBegin ( GL_LINE_LOOP ) ;
glNormal3dv ( tetrahedron_n[i] ) ;
glNormal3d ( -tet_r[i][0], -tet_r[i][1], -tet_r[i][2] ) ;
for ( j = 0; j < 3; j++ )
{
double x = offset[0] + scale * tetrahedron_v[tetrahedron_i[i][j]][0] ;
double y = offset[1] + scale * tetrahedron_v[tetrahedron_i[i][j]][1] ;
double z = offset[2] + scale * tetrahedron_v[tetrahedron_i[i][j]][2] ;
double x = offset[0] + scale * tet_r[tet_i[i][j]][0] ;
double y = offset[1] + scale * tet_r[tet_i[i][j]][1] ;
double z = offset[2] + scale * tet_r[tet_i[i][j]][2] ;
glVertex3d ( x, y, z ) ;
}
@ -1077,18 +1053,13 @@ void FGAPIENTRY glutWireSierpinskiSponge ( int num_levels, GLdouble offset[3], G
GLdouble local_offset[3] ; /* Use a local variable to avoid buildup of roundoff errors */
num_levels -- ;
scale /= 2.0 ;
local_offset[0] = offset[0] + scale * tetrahedron_v[0][0] ;
local_offset[1] = offset[1] + scale * tetrahedron_v[0][1] ;
local_offset[2] = offset[2] + scale * tetrahedron_v[0][2] ;
glutWireSierpinskiSponge ( num_levels, local_offset, scale ) ;
local_offset[0] += scale ;
glutWireSierpinskiSponge ( num_levels, local_offset, scale ) ;
local_offset[0] -= 0.5 * scale ;
local_offset[1] += 0.866025403784 * scale ;
glutWireSierpinskiSponge ( num_levels, local_offset, scale ) ;
local_offset[1] -= 0.577350269189 * scale ;
local_offset[2] += 0.816496580928 * scale ;
glutWireSierpinskiSponge ( num_levels, local_offset, scale ) ;
for ( i = 0 ; i < NUM_TETR_FACES ; i++ )
{
local_offset[0] = offset[0] + scale * tet_r[i][0] ;
local_offset[1] = offset[1] + scale * tet_r[i][1] ;
local_offset[2] = offset[2] + scale * tet_r[i][2] ;
glutWireSierpinskiSponge ( num_levels, local_offset, scale ) ;
}
}
}
@ -1100,14 +1071,14 @@ void FGAPIENTRY glutSolidSierpinskiSponge ( int num_levels, GLdouble offset[3],
{
glBegin ( GL_TRIANGLES ) ;
for ( i = 0 ; i < NUM_FACES ; i++ )
for ( i = 0 ; i < NUM_TETR_FACES ; i++ )
{
glNormal3dv ( tetrahedron_n[i] ) ;
glNormal3d ( -tet_r[i][0], -tet_r[i][1], -tet_r[i][2] ) ;
for ( j = 0; j < 3; j++ )
{
double x = offset[0] + scale * tetrahedron_v[tetrahedron_i[i][j]][0] ;
double y = offset[1] + scale * tetrahedron_v[tetrahedron_i[i][j]][1] ;
double z = offset[2] + scale * tetrahedron_v[tetrahedron_i[i][j]][2] ;
double x = offset[0] + scale * tet_r[tet_i[i][j]][0] ;
double y = offset[1] + scale * tet_r[tet_i[i][j]][1] ;
double z = offset[2] + scale * tet_r[tet_i[i][j]][2] ;
glVertex3d ( x, y, z ) ;
}
}
@ -1119,21 +1090,14 @@ void FGAPIENTRY glutSolidSierpinskiSponge ( int num_levels, GLdouble offset[3],
GLdouble local_offset[3] ; /* Use a local variable to avoid buildup of roundoff errors */
num_levels -- ;
scale /= 2.0 ;
local_offset[0] = offset[0] + scale * tetrahedron_v[0][0] ;
local_offset[1] = offset[1] + scale * tetrahedron_v[0][1] ;
local_offset[2] = offset[2] + scale * tetrahedron_v[0][2] ;
glutSolidSierpinskiSponge ( num_levels, local_offset, scale ) ;
local_offset[0] += scale ;
glutSolidSierpinskiSponge ( num_levels, local_offset, scale ) ;
local_offset[0] -= 0.5 * scale ;
local_offset[1] += 0.866025403784 * scale ;
glutSolidSierpinskiSponge ( num_levels, local_offset, scale ) ;
local_offset[1] -= 0.577350269189 * scale ;
local_offset[2] += 0.816496580928 * scale ;
glutSolidSierpinskiSponge ( num_levels, local_offset, scale ) ;
for ( i = 0 ; i < NUM_TETR_FACES ; i++ )
{
local_offset[0] = offset[0] + scale * tet_r[i][0] ;
local_offset[1] = offset[1] + scale * tet_r[i][1] ;
local_offset[2] = offset[2] + scale * tet_r[i][2] ;
glutSolidSierpinskiSponge ( num_levels, local_offset, scale ) ;
}
}
}
#undef NUM_FACES
/*** END OF FILE ***/

View File

@ -230,13 +230,13 @@ void fgDeinitialize( void )
fgDestroyStructure( );
while( (timer = fgState.Timers.First) )
while( timer = fgState.Timers.First )
{
fgListRemove( &fgState.Timers, &timer->Node );
free( timer );
}
while( (timer = fgState.FreeTimers.First) )
while( timer = fgState.FreeTimers.First )
{
fgListRemove( &fgState.FreeTimers, &timer->Node );
free( timer );
@ -268,7 +268,7 @@ void fgDeinitialize( void )
fgState.ActionOnWindowClose = GLUT_ACTION_EXIT;
fgState.ExecState = GLUT_EXEC_STATE_INIT;
fgState.KeyRepeat = GL_FALSE;
fgState.KeyRepeat = GL_TRUE;
fgState.Modifiers = 0xffffffff;
fgState.GameModeSize.X = 640;
@ -603,7 +603,7 @@ void FGAPIENTRY glutInit( int* pargc, char** argv )
/* Guaranteed to end because there are "*pargc" arguments left */
while ( argv[ j ] == NULL )
j++;
if (i != j)
if ( i != j )
argv[ i ] = argv[ j ];
}