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Branched from the monolithic repo, Qt master branch, at commit
896db169ea224deb96c59ce8af800d019de63f12

1 files changed, 236 insertions, 0 deletions

diff --git a/src/3rdparty/freetype/src/tools/test_trig.c b/src/3rdparty/freetype/src/tools/test_trig.c
new file mode 100644
index 0000000000..8c8a544aa9
--- /dev/null
+++ b/src/3rdparty/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;
+  }