ClutterBezier: Make a private copy of sqrti from cogl
We didn't include clutter-build-config.h, meaning we included a different API of cogl than the rest of clutter. This API contains the function cogl_sqrti which was the only thing used. Lets include the build config file and stop depending on the API that is no longer exposed to us. https://bugzilla.gnome.org/show_bug.cgi?id=768977
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@ -21,6 +21,8 @@
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* License along with this library. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include "clutter-build-config.h"
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#include <glib.h>
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#include <string.h>
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#include "clutter-bezier.h"
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@ -57,6 +59,10 @@
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#define CBZ_T_STEP (CBZ_T_ONE / CBZ_T_SAMPLES)
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#define CBZ_L_STEP (CBZ_T_ONE / CBZ_T_SAMPLES)
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#define FIXED_BITS (32)
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#define FIXED_Q (FIXED_BITS - 16)
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#define FIXED_FROM_INT(x) ((x) << FIXED_Q)
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typedef gint32 _FixedT;
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/*
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@ -186,6 +192,90 @@ _clutter_bezier_advance (const ClutterBezier *b, gint L, ClutterKnot * knot)
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knot->x, knot->y);
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}
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static int
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sqrti (int number)
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{
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#if defined __SSE2__
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/* The GCC built-in with SSE2 (sqrtsd) is up to twice as fast as
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* the pure integer code below. It is also more accurate.
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*/
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return __builtin_sqrt (number);
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#else
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/* This is a fixed point implementation of the Quake III sqrt algorithm,
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* described, for example, at
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* http://www.codemaestro.com/reviews/review00000105.html
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*
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* While the original QIII is extremely fast, the use of floating division
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* and multiplication makes it perform very on arm processors without FPU.
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*
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* The key to successfully replacing the floating point operations with
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* fixed point is in the choice of the fixed point format. The QIII
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* algorithm does not calculate the square root, but its reciprocal ('y'
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* below), which is only at the end turned to the inverse value. In order
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* for the algorithm to produce satisfactory results, the reciprocal value
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* must be represented with sufficient precission; the 16.16 we use
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* elsewhere in clutter is not good enough, and 10.22 is used instead.
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*/
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_FixedT x;
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uint32_t y_1; /* 10.22 fixed point */
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uint32_t f = 0x600000; /* '1.5' as 10.22 fixed */
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union
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{
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float f;
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uint32_t i;
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} flt, flt2;
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flt.f = number;
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x = FIXED_FROM_INT (number) / 2;
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/* The QIII initial estimate */
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flt.i = 0x5f3759df - ( flt.i >> 1 );
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/* Now, we convert the float to 10.22 fixed. We exploit the mechanism
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* described at http://www.d6.com/users/checker/pdfs/gdmfp.pdf.
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*
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* We want 22 bit fraction; a single precission float uses 23 bit
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* mantisa, so we only need to add 2^(23-22) (no need for the 1.5
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* multiplier as we are only dealing with positive numbers).
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*
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* Note: we have to use two separate variables here -- for some reason,
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* if we try to use just the flt variable, gcc on ARM optimises the whole
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* addition out, and it all goes pear shape, since without it, the bits
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* in the float will not be correctly aligned.
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*/
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flt2.f = flt.f + 2.0;
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flt2.i &= 0x7FFFFF;
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/* Now we correct the estimate */
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y_1 = (flt2.i >> 11) * (flt2.i >> 11);
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y_1 = (y_1 >> 8) * (x >> 8);
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y_1 = f - y_1;
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flt2.i = (flt2.i >> 11) * (y_1 >> 11);
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/* If the original argument is less than 342, we do another
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* iteration to improve precission (for arguments >= 342, the single
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* iteration produces generally better results).
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*/
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if (x < 171)
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{
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y_1 = (flt2.i >> 11) * (flt2.i >> 11);
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y_1 = (y_1 >> 8) * (x >> 8);
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y_1 = f - y_1;
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flt2.i = (flt2.i >> 11) * (y_1 >> 11);
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}
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/* Invert, round and convert from 10.22 to an integer
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* 0x1e3c68 is a magical rounding constant that produces slightly
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* better results than 0x200000.
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*/
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return (number * flt2.i + 0x1e3c68) >> 22;
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#endif
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}
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void
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_clutter_bezier_init (ClutterBezier *b,
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gint x_0, gint y_0,
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@ -250,7 +340,7 @@ _clutter_bezier_init (ClutterBezier *b,
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int x = _clutter_bezier_t2x (b, t);
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int y = _clutter_bezier_t2y (b, t);
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guint l = cogl_sqrti ((y - yp)*(y - yp) + (x - xp)*(x - xp));
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guint l = sqrti ((y - yp)*(y - yp) + (x - xp)*(x - xp));
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l += length[i-1];
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