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authormarha <marha@users.sourceforge.net>2009-06-28 22:07:26 +0000
committermarha <marha@users.sourceforge.net>2009-06-28 22:07:26 +0000
commit3562e78743202e43aec8727005182a2558117eca (patch)
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Diffstat (limited to 'freetype/src/tools/test_trig.c')
-rw-r--r--freetype/src/tools/test_trig.c236
1 files changed, 236 insertions, 0 deletions
diff --git a/freetype/src/tools/test_trig.c b/freetype/src/tools/test_trig.c
new file mode 100644
index 000000000..8c8a544aa
--- /dev/null
+++ b/freetype/src/tools/test_trig.c
@@ -0,0 +1,236 @@
+#include <ft2build.h>
+#include FT_FREETYPE_H
+#include FT_TRIGONOMETRY_H
+
+#include <math.h>
+#include <stdio.h>
+
+#define PI 3.14159265358979323846
+#define SPI (PI/FT_ANGLE_PI)
+
+/* the precision in 16.16 fixed float points of the checks. Expect */
+/* between 2 and 5 noise LSB bits during operations, due to */
+/* rounding errors.. */
+#define THRESHOLD 64
+
+ static error = 0;
+
+ static void
+ test_cos( void )
+ {
+ FT_Fixed f1, f2;
+ double d1, d2;
+ int i;
+
+ for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 )
+ {
+ f1 = FT_Cos(i);
+ d1 = f1/65536.0;
+ d2 = cos( i*SPI );
+ f2 = (FT_Fixed)(d2*65536.0);
+
+ if ( abs( f2-f1 ) > THRESHOLD )
+ {
+ error = 1;
+ printf( "FT_Cos[%3d] = %.7f cos[%3d] = %.7f\n",
+ (i >> 16), f1/65536.0, (i >> 16), d2 );
+ }
+ }
+ }
+
+
+
+ static void
+ test_sin( void )
+ {
+ FT_Fixed f1, f2;
+ double d1, d2;
+ int i;
+
+ for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 )
+ {
+ f1 = FT_Sin(i);
+ d1 = f1/65536.0;
+ d2 = sin( i*SPI );
+ f2 = (FT_Fixed)(d2*65536.0);
+
+ if ( abs( f2-f1 ) > THRESHOLD )
+ {
+ error = 1;
+ printf( "FT_Sin[%3d] = %.7f sin[%3d] = %.7f\n",
+ (i >> 16), f1/65536.0, (i >> 16), d2 );
+ }
+ }
+ }
+
+
+ static void
+ test_tan( void )
+ {
+ FT_Fixed f1, f2;
+ double d1, d2;
+ int i;
+
+ for ( i = 0; i < FT_ANGLE_PI2-0x2000000; i += 0x10000 )
+ {
+ f1 = FT_Tan(i);
+ d1 = f1/65536.0;
+ d2 = tan( i*SPI );
+ f2 = (FT_Fixed)(d2*65536.0);
+
+ if ( abs( f2-f1 ) > THRESHOLD )
+ {
+ error = 1;
+ printf( "FT_Tan[%3d] = %.7f tan[%3d] = %.7f\n",
+ (i >> 16), f1/65536.0, (i >> 16), d2 );
+ }
+ }
+ }
+
+
+ static void
+ test_atan2( void )
+ {
+ FT_Fixed c2, s2;
+ double l, a, c1, s1;
+ int i, j;
+
+ for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 )
+ {
+ l = 5.0;
+ a = i*SPI;
+
+ c1 = l * cos(a);
+ s1 = l * sin(a);
+
+ c2 = (FT_Fixed)(c1*65536.0);
+ s2 = (FT_Fixed)(s1*65536.0);
+
+ j = FT_Atan2( c2, s2 );
+ if ( j < 0 )
+ j += FT_ANGLE_2PI;
+
+ if ( abs( i - j ) > 1 )
+ {
+ printf( "FT_Atan2( %.7f, %.7f ) = %.5f, atan = %.5f\n",
+ c2/65536.0, s2/65536.0, j/65536.0, i/65536.0 );
+ }
+ }
+ }
+
+ static void
+ test_unit( void )
+ {
+ FT_Vector v;
+ double a, c1, s1;
+ FT_Fixed c2, s2;
+ int i;
+
+ for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 )
+ {
+ FT_Vector_Unit( &v, i );
+ a = ( i*SPI );
+ c1 = cos(a);
+ s1 = sin(a);
+ c2 = (FT_Fixed)(c1*65536.0);
+ s2 = (FT_Fixed)(s1*65536.0);
+
+ if ( abs( v.x-c2 ) > THRESHOLD ||
+ abs( v.y-s2 ) > THRESHOLD )
+ {
+ error = 1;
+ printf( "FT_Vector_Unit[%3d] = ( %.7f, %.7f ) vec = ( %.7f, %.7f )\n",
+ (i >> 16),
+ v.x/65536.0, v.y/65536.0,
+ c1, s1 );
+ }
+ }
+ }
+
+
+ static void
+ test_length( void )
+ {
+ FT_Vector v;
+ FT_Fixed l, l2;
+ int i;
+
+ for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 )
+ {
+ l = (FT_Fixed)(500.0*65536.0);
+ v.x = (FT_Fixed)( l * cos( i*SPI ) );
+ v.y = (FT_Fixed)( l * sin( i*SPI ) );
+ l2 = FT_Vector_Length( &v );
+
+ if ( abs( l2-l ) > THRESHOLD )
+ {
+ error = 1;
+ printf( "FT_Length( %.7f, %.7f ) = %.5f, length = %.5f\n",
+ v.x/65536.0, v.y/65536.0, l2/65536.0, l/65536.0 );
+ }
+ }
+ }
+
+
+ static void
+ test_rotate( void )
+ {
+ FT_Fixed c2, s2, c4, s4;
+ FT_Vector v;
+ double l, ra, a, c1, s1, cra, sra, c3, s3;
+ int i, j, rotate;
+
+ for ( rotate = 0; rotate < FT_ANGLE_2PI; rotate += 0x10000 )
+ {
+ ra = rotate*SPI;
+ cra = cos( ra );
+ sra = sin( ra );
+
+ for ( i = 0; i < FT_ANGLE_2PI; i += 0x10000 )
+ {
+ l = 500.0;
+ a = i*SPI;
+
+ c1 = l * cos(a);
+ s1 = l * sin(a);
+
+ v.x = c2 = (FT_Fixed)(c1*65536.0);
+ v.y = s2 = (FT_Fixed)(s1*65536.0);
+
+ FT_Vector_Rotate( &v, rotate );
+
+ c3 = c1 * cra - s1 * sra;
+ s3 = c1 * sra + s1 * cra;
+
+ c4 = (FT_Fixed)(c3*65536.0);
+ s4 = (FT_Fixed)(s3*65536.0);
+
+ if ( abs( c4 - v.x ) > THRESHOLD ||
+ abs( s4 - v.y ) > THRESHOLD )
+ {
+ error = 1;
+ printf( "FT_Rotate( (%.7f,%.7f), %.5f ) = ( %.7f, %.7f ), rot = ( %.7f, %.7f )\n",
+ c1, s1, ra,
+ c2/65536.0, s2/65536.0,
+ c4/65536.0, s4/65536.0 );
+ }
+ }
+ }
+ }
+
+
+ int main( void )
+ {
+ test_cos();
+ test_sin();
+ test_tan();
+ test_atan2();
+ test_unit();
+ test_length();
+ test_rotate();
+
+ if (!error)
+ printf( "trigonometry test ok !\n" );
+
+ return !error;
+ }