3 #include FT_TRIGONOMETRY_H
8 #define PI 3.14159265358979323846
9 #define SPI (PI/FT_ANGLE_PI)
11 /* the precision in 16.16 fixed-point checks. Expect between 2 and 5 */
12 /* noise LSB bits during operations, due to rounding errors.. */
23 for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000L )
31 f2 = (FT_Fixed)(d2*65536.0);
33 if ( abs( f2-f1 ) > THRESHOLD )
36 printf( "FT_Cos[%3d] = %.7f cos[%3d] = %.7f\n",
37 (i >> 16), f1/65536.0, (i >> 16), d2 );
49 for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000L )
57 f2 = (FT_Fixed)(d2*65536.0);
59 if ( abs( f2-f1 ) > THRESHOLD )
62 printf( "FT_Sin[%3d] = %.7f sin[%3d] = %.7f\n",
63 (i >> 16), f1/65536.0, (i >> 16), d2 );
75 for ( i = 0; i < FT_ANGLE_PI2 - 0x2000000L; i += 0x10000L )
83 f2 = (FT_Fixed)(d2*65536.0);
85 if ( abs( f2-f1 ) > THRESHOLD )
88 printf( "FT_Tan[%3d] = %.7f tan[%3d] = %.7f\n",
89 (i >> 16), f1/65536.0, (i >> 16), d2 );
101 for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000L )
114 c2 = (FT_Fixed)(c1*65536.0);
115 s2 = (FT_Fixed)(s1*65536.0);
117 j = FT_Atan2( c2, s2 );
121 if ( abs( i - j ) > 1 )
123 printf( "FT_Atan2( %.7f, %.7f ) = %.5f, atan = %.5f\n",
124 c2/65536.0, s2/65536.0, j/65536.0, i/65536.0 );
136 for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000L )
143 FT_Vector_Unit( &v, i );
147 c2 = (FT_Fixed)(c1*65536.0);
148 s2 = (FT_Fixed)(s1*65536.0);
150 if ( abs( v.x-c2 ) > THRESHOLD ||
151 abs( v.y-s2 ) > THRESHOLD )
154 printf( "FT_Vector_Unit[%3d] = ( %.7f, %.7f ) vec = ( %.7f, %.7f )\n",
156 v.x/65536.0, v.y/65536.0,
169 for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000L )
175 l = (FT_Fixed)(500.0*65536.0);
176 v.x = (FT_Fixed)( l * cos( i*SPI ) );
177 v.y = (FT_Fixed)( l * sin( i*SPI ) );
178 l2 = FT_Vector_Length( &v );
180 if ( abs( l2-l ) > THRESHOLD )
183 printf( "FT_Length( %.7f, %.7f ) = %.5f, length = %.5f\n",
184 v.x/65536.0, v.y/65536.0, l2/65536.0, l/65536.0 );
196 for ( rotate = 0; rotate < FT_ANGLE_2PI; rotate += 0x10000L )
206 for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000L )
208 FT_Fixed c2, s2, c4, s4;
210 double l, a, c1, s1, c3, s3;
219 v.x = c2 = (FT_Fixed)(c1*65536.0);
220 v.y = s2 = (FT_Fixed)(s1*65536.0);
222 FT_Vector_Rotate( &v, rotate );
224 c3 = c1 * cra - s1 * sra;
225 s3 = c1 * sra + s1 * cra;
227 c4 = (FT_Fixed)(c3*65536.0);
228 s4 = (FT_Fixed)(s3*65536.0);
230 if ( abs( c4 - v.x ) > THRESHOLD ||
231 abs( s4 - v.y ) > THRESHOLD )
234 printf( "FT_Rotate( (%.7f,%.7f), %.5f ) = ( %.7f, %.7f ), rot = ( %.7f, %.7f )\n",
236 c2/65536.0, s2/65536.0,
237 c4/65536.0, s4/65536.0 );
255 printf( "trigonometry test ok !\n" );