implemented fixed point sin(); fixed CLUTTER_FIXED_TO_FLOAT/DOUBLE macros
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@ -94,6 +94,7 @@ CLEANFILES = \
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source_c = clutter-main.c \
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clutter-util.c \
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clutter-feature.c \
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clutter-fixed.c \
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clutter-event.c \
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clutter-color.c \
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clutter-timeline.c \
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@ -491,6 +491,13 @@ clutter_ramp_func (ClutterAlpha *alpha,
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}
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}
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static guint32
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sincx_func (ClutterAlpha *alpha,
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float angle,
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float offset)
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{
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}
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static guint32
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sinc_func (ClutterAlpha *alpha,
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float angle,
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154
clutter/clutter-fixed.c
Normal file
154
clutter/clutter-fixed.c
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@ -0,0 +1,154 @@
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#include <clutter-fixed.h>
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/* pre-computed sin table for 1st quadrant
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*
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* Currently contains 257 entries.
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*
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* The current error (compared to system sin) is about
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* 0.5% for values near the start of the table where the
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* curve is steep, but improving rapidly. If this precission
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* is not enough, we can increase the size of the table
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*/
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static ClutterFixed sin_tbl [] =
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{
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0x00000000L, 0x00000192L, 0x00000324L, 0x000004B6L,
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0x00000648L, 0x000007DAL, 0x0000096CL, 0x00000AFEL,
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0x00000C90L, 0x00000E21L, 0x00000FB3L, 0x00001144L,
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0x000012D5L, 0x00001466L, 0x000015F7L, 0x00001787L,
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0x00001918L, 0x00001AA8L, 0x00001C38L, 0x00001DC7L,
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0x00001F56L, 0x000020E5L, 0x00002274L, 0x00002402L,
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0x00002590L, 0x0000271EL, 0x000028ABL, 0x00002A38L,
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0x00002BC4L, 0x00002D50L, 0x00002EDCL, 0x00003067L,
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0x000031F1L, 0x0000337CL, 0x00003505L, 0x0000368EL,
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0x00003817L, 0x0000399FL, 0x00003B27L, 0x00003CAEL,
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0x00003E34L, 0x00003FBAL, 0x0000413FL, 0x000042C3L,
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0x00004447L, 0x000045CBL, 0x0000474DL, 0x000048CFL,
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0x00004A50L, 0x00004BD1L, 0x00004D50L, 0x00004ECFL,
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0x0000504DL, 0x000051CBL, 0x00005348L, 0x000054C3L,
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0x0000563EL, 0x000057B9L, 0x00005932L, 0x00005AAAL,
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0x00005C22L, 0x00005D99L, 0x00005F0FL, 0x00006084L,
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0x000061F8L, 0x0000636BL, 0x000064DDL, 0x0000664EL,
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0x000067BEL, 0x0000692DL, 0x00006A9BL, 0x00006C08L,
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0x00006D74L, 0x00006EDFL, 0x00007049L, 0x000071B2L,
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0x0000731AL, 0x00007480L, 0x000075E6L, 0x0000774AL,
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0x000078ADL, 0x00007A10L, 0x00007B70L, 0x00007CD0L,
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0x00007E2FL, 0x00007F8CL, 0x000080E8L, 0x00008243L,
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0x0000839CL, 0x000084F5L, 0x0000864CL, 0x000087A1L,
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0x000088F6L, 0x00008A49L, 0x00008B9AL, 0x00008CEBL,
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0x00008E3AL, 0x00008F88L, 0x000090D4L, 0x0000921FL,
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0x00009368L, 0x000094B0L, 0x000095F7L, 0x0000973CL,
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0x00009880L, 0x000099C2L, 0x00009B03L, 0x00009C42L,
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0x00009D80L, 0x00009EBCL, 0x00009FF7L, 0x0000A130L,
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0x0000A268L, 0x0000A39EL, 0x0000A4D2L, 0x0000A605L,
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0x0000A736L, 0x0000A866L, 0x0000A994L, 0x0000AAC1L,
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0x0000ABEBL, 0x0000AD14L, 0x0000AE3CL, 0x0000AF62L,
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0x0000B086L, 0x0000B1A8L, 0x0000B2C9L, 0x0000B3E8L,
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0x0000B505L, 0x0000B620L, 0x0000B73AL, 0x0000B852L,
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0x0000B968L, 0x0000BA7DL, 0x0000BB8FL, 0x0000BCA0L,
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0x0000BDAFL, 0x0000BEBCL, 0x0000BFC7L, 0x0000C0D1L,
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0x0000C1D8L, 0x0000C2DEL, 0x0000C3E2L, 0x0000C4E4L,
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0x0000C5E4L, 0x0000C6E2L, 0x0000C7DEL, 0x0000C8D9L,
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0x0000C9D1L, 0x0000CAC7L, 0x0000CBBCL, 0x0000CCAEL,
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0x0000CD9FL, 0x0000CE8EL, 0x0000CF7AL, 0x0000D065L,
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0x0000D14DL, 0x0000D234L, 0x0000D318L, 0x0000D3FBL,
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0x0000D4DBL, 0x0000D5BAL, 0x0000D696L, 0x0000D770L,
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0x0000D848L, 0x0000D91EL, 0x0000D9F2L, 0x0000DAC4L,
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0x0000DB94L, 0x0000DC62L, 0x0000DD2DL, 0x0000DDF7L,
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0x0000DEBEL, 0x0000DF83L, 0x0000E046L, 0x0000E107L,
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0x0000E1C6L, 0x0000E282L, 0x0000E33CL, 0x0000E3F4L,
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0x0000E4AAL, 0x0000E55EL, 0x0000E610L, 0x0000E6BFL,
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0x0000E76CL, 0x0000E817L, 0x0000E8BFL, 0x0000E966L,
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0x0000EA0AL, 0x0000EAABL, 0x0000EB4BL, 0x0000EBE8L,
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0x0000EC83L, 0x0000ED1CL, 0x0000EDB3L, 0x0000EE47L,
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0x0000EED9L, 0x0000EF68L, 0x0000EFF5L, 0x0000F080L,
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0x0000F109L, 0x0000F18FL, 0x0000F213L, 0x0000F295L,
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0x0000F314L, 0x0000F391L, 0x0000F40CL, 0x0000F484L,
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0x0000F4FAL, 0x0000F56EL, 0x0000F5DFL, 0x0000F64EL,
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0x0000F6BAL, 0x0000F724L, 0x0000F78CL, 0x0000F7F1L,
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0x0000F854L, 0x0000F8B4L, 0x0000F913L, 0x0000F96EL,
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0x0000F9C8L, 0x0000FA1FL, 0x0000FA73L, 0x0000FAC5L,
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0x0000FB15L, 0x0000FB62L, 0x0000FBADL, 0x0000FBF5L,
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0x0000FC3BL, 0x0000FC7FL, 0x0000FCC0L, 0x0000FCFEL,
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0x0000FD3BL, 0x0000FD74L, 0x0000FDACL, 0x0000FDE1L,
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0x0000FE13L, 0x0000FE43L, 0x0000FE71L, 0x0000FE9CL,
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0x0000FEC4L, 0x0000FEEBL, 0x0000FF0EL, 0x0000FF30L,
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0x0000FF4EL, 0x0000FF6BL, 0x0000FF85L, 0x0000FF9CL,
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0x0000FFB1L, 0x0000FFC4L, 0x0000FFD4L, 0x0000FFE1L,
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0x0000FFECL, 0x0000FFF5L, 0x0000FFFBL, 0x0000FFFFL,
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0x00010000L,
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};
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/* the difference of the angle for two adjacent values in the table
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* expressed as ClutterFixed number
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*/
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#define CFX_SIN_STEP 0x00000192
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ClutterFixed
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clutter_fixed_sin (ClutterFixed anx)
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{
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/* reduce to <0, 2*pi) */
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if (anx >= CFX_2PI)
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{
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ClutterFixed f = CLUTTER_FIXED_DIV (anx, CFX_2PI);
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anx = anx - f;
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}
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/* reduce to first quadrant and sign */
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int sign = 1;
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if (anx > CFX_PI)
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{
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sign = -1;
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if (anx > CFX_PI + CFX_PI_2)
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{
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/* fourth qudrant */
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anx = CFX_2PI - anx;
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}
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else
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{
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/* third quadrant */
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anx -= CFX_PI;
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}
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}
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else
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{
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if (anx > CFX_PI_2)
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{
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/* second quadrant */
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anx = CFX_PI - anx;
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}
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}
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/* Calculate indexes of the two nearest values in our table
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* and return weighted average
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*
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* Handle the end of the table gracefully
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*/
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int indx1 = CLUTTER_FIXED_DIV (anx, CFX_SIN_STEP);
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int indx2;
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indx1 = CLUTTER_FIXED_INT (indx1);
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if (indx1 == sizeof (sin_tbl)/sizeof (ClutterFixed) - 1)
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{
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indx2 = indx1;
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indx1 = indx2 - 1;
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}
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else
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{
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indx2 = indx1 + 1;
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}
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ClutterFixed low = sin_tbl[indx1];
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ClutterFixed high = sin_tbl[indx2];
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ClutterFixed d1 = anx - indx1 * CFX_SIN_STEP;
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ClutterFixed d2 = indx2 * CFX_SIN_STEP - anx;
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anx = ((low * d2 + high * d1) / (CFX_SIN_STEP));
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if (sign < 0)
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anx = (1 + ~anx);
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return anx;
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}
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@ -36,16 +36,22 @@ typedef gint32 ClutterFixed;
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#define CFX_ONE (1 << CFX_Q) /* 1 */
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#define CFX_MAX 0x7fffffff
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#define CFX_MIN 0x80000000
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#define CFX_PI 0x0003243f
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#define CFX_2PI 0x0006487f
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#define CFX_PI_2 0x00019220 /* pi/2 */
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#define CFX_PI_4 0x0000c910 /* pi/4 */
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#define CFX_PI8192 0x6487ed51 /* pi * 0x2000, to improve precision */
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#define CLUTTER_FIXED_TO_FLOAT(x) ((float)((x)/65536.0))
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#define CLUTTER_FIXED_TO_FLOAT(x) ((float)((int)(x)/65536.0))
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#define CLUTTER_FIXED_TO_DOUBLE(x) ((double)((x)/65536.0))
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#define CLUTTER_FIXED_TO_DOUBLE(x) ((double)((int)(x)/65536.0))
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#define CLUTTER_FLOAT_TO_FIXED(x) \
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( (ABS(x) > 32767.0) ? \
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(((x)/(x))*0x7fffffff) \
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: ((long)((x) * 65536.0 + ((x) < 0 ? -0.5 : 0.5))) )
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#define CLUTTER_INT_TO_FIXED(x) ((x) << CFX_Q)
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#define CLUTTER_FIXED_INT(x) ((x) >> CFX_Q)
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@ -61,6 +67,9 @@ typedef gint32 ClutterFixed;
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#define CLUTTER_FIXED_DIV(x,y) ((((x) << 8)/(y)) << 8)
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/* Fixed point math routines */
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ClutterFixed clutter_fixed_sin (ClutterFixed anx);
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G_END_DECLS
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#endif
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