5172
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#include <ft2build.h>
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#include FT_FREETYPE_H
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#include FT_TRIGONOMETRY_H
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#include <math.h>
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#include <stdio.h>
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#define PI 3.14159265358979323846
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#define SPI (PI/FT_ANGLE_PI)
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/* the precision in 16.16 fixed float points of the checks. Expect */
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/* between 2 and 5 noise LSB bits during operations, due to */
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/* rounding errors.. */
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#define THRESHOLD 64
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static error = 0;
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static void
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test_cos( void )
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{
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FT_Fixed f1, f2;
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double d1, d2;
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int i;
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for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 )
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{
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f1 = FT_Cos(i);
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d1 = f1/65536.0;
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d2 = cos( i*SPI );
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f2 = (FT_Fixed)(d2*65536.0);
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if ( abs( f2-f1 ) > THRESHOLD )
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{
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error = 1;
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printf( "FT_Cos[%3d] = %.7f cos[%3d] = %.7f\n",
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(i >> 16), f1/65536.0, (i >> 16), d2 );
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}
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}
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}
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static void
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test_sin( void )
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{
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FT_Fixed f1, f2;
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double d1, d2;
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int i;
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for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 )
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{
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f1 = FT_Sin(i);
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d1 = f1/65536.0;
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d2 = sin( i*SPI );
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f2 = (FT_Fixed)(d2*65536.0);
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if ( abs( f2-f1 ) > THRESHOLD )
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{
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error = 1;
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printf( "FT_Sin[%3d] = %.7f sin[%3d] = %.7f\n",
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(i >> 16), f1/65536.0, (i >> 16), d2 );
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}
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}
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}
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static void
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test_tan( void )
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{
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FT_Fixed f1, f2;
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double d1, d2;
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int i;
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for ( i = 0; i < FT_ANGLE_PI2-0x2000000; i += 0x10000 )
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{
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f1 = FT_Tan(i);
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d1 = f1/65536.0;
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d2 = tan( i*SPI );
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f2 = (FT_Fixed)(d2*65536.0);
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if ( abs( f2-f1 ) > THRESHOLD )
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{
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error = 1;
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printf( "FT_Tan[%3d] = %.7f tan[%3d] = %.7f\n",
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(i >> 16), f1/65536.0, (i >> 16), d2 );
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}
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}
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}
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static void
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test_atan2( void )
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{
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FT_Fixed c2, s2;
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double l, a, c1, s1;
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int i, j;
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for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 )
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{
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l = 5.0;
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a = i*SPI;
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c1 = l * cos(a);
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s1 = l * sin(a);
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c2 = (FT_Fixed)(c1*65536.0);
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s2 = (FT_Fixed)(s1*65536.0);
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j = FT_Atan2( c2, s2 );
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if ( j < 0 )
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j += FT_ANGLE_2PI;
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if ( abs( i - j ) > 1 )
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{
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printf( "FT_Atan2( %.7f, %.7f ) = %.5f, atan = %.5f\n",
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c2/65536.0, s2/65536.0, j/65536.0, i/65536.0 );
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}
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}
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}
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static void
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test_unit( void )
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{
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FT_Vector v;
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double a, c1, s1;
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FT_Fixed c2, s2;
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int i;
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for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 )
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{
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FT_Vector_Unit( &v, i );
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a = ( i*SPI );
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c1 = cos(a);
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s1 = sin(a);
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c2 = (FT_Fixed)(c1*65536.0);
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s2 = (FT_Fixed)(s1*65536.0);
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if ( abs( v.x-c2 ) > THRESHOLD ||
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abs( v.y-s2 ) > THRESHOLD )
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{
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error = 1;
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printf( "FT_Vector_Unit[%3d] = ( %.7f, %.7f ) vec = ( %.7f, %.7f )\n",
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(i >> 16),
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v.x/65536.0, v.y/65536.0,
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c1, s1 );
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}
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}
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}
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static void
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test_length( void )
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{
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FT_Vector v;
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FT_Fixed l, l2;
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int i;
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for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 )
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{
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l = (FT_Fixed)(500.0*65536.0);
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v.x = (FT_Fixed)( l * cos( i*SPI ) );
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v.y = (FT_Fixed)( l * sin( i*SPI ) );
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l2 = FT_Vector_Length( &v );
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if ( abs( l2-l ) > THRESHOLD )
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{
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error = 1;
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printf( "FT_Length( %.7f, %.7f ) = %.5f, length = %.5f\n",
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v.x/65536.0, v.y/65536.0, l2/65536.0, l/65536.0 );
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}
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}
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}
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static void
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test_rotate( void )
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{
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FT_Fixed c2, s2, c4, s4;
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FT_Vector v;
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double l, ra, a, c1, s1, cra, sra, c3, s3;
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int i, j, rotate;
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for ( rotate = 0; rotate < FT_ANGLE_2PI; rotate += 0x10000 )
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{
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ra = rotate*SPI;
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cra = cos( ra );
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sra = sin( ra );
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for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 )
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{
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l = 500.0;
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a = i*SPI;
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c1 = l * cos(a);
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s1 = l * sin(a);
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v.x = c2 = (FT_Fixed)(c1*65536.0);
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v.y = s2 = (FT_Fixed)(s1*65536.0);
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FT_Vector_Rotate( &v, rotate );
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c3 = c1 * cra - s1 * sra;
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s3 = c1 * sra + s1 * cra;
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c4 = (FT_Fixed)(c3*65536.0);
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s4 = (FT_Fixed)(s3*65536.0);
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if ( abs( c4 - v.x ) > THRESHOLD ||
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abs( s4 - v.y ) > THRESHOLD )
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{
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error = 1;
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printf( "FT_Rotate( (%.7f,%.7f), %.5f ) = ( %.7f, %.7f ), rot = ( %.7f, %.7f )\n",
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c1, s1, ra,
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c2/65536.0, s2/65536.0,
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c4/65536.0, s4/65536.0 );
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}
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}
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}
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}
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int main( void )
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{
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test_cos();
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test_sin();
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test_tan();
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test_atan2();
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test_unit();
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test_length();
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test_rotate();
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if (!error)
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printf( "trigonometry test ok !\n" );
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return !error;
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}
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