[vlc-devel] [PATCH] Puzzle filter enhancement
Vianney Boyer
vlcvboyer at gmail.com
Wed Feb 6 23:15:46 CET 2013
From: Vianney BOYER <vlcvboyer at gmail.com>
Second patch: includes bezier functions used by Puzzle filter
Regards
Vianney
---
modules/video_filter/puzzle_bezier.c | 335 ++++++++++++++++++++++++++++++++++
modules/video_filter/puzzle_bezier.h | 43 +++++
2 files changed, 378 insertions(+)
create mode 100644 modules/video_filter/puzzle_bezier.c
create mode 100644 modules/video_filter/puzzle_bezier.h
diff --git a/modules/video_filter/puzzle_bezier.c b/modules/video_filter/puzzle_bezier.c
new file mode 100644
index 0000000..2bec27b
--- /dev/null
+++ b/modules/video_filter/puzzle_bezier.c
@@ -0,0 +1,335 @@
+/*****************************************************************************
+ * puzzle_bezier.c : Bezier curves management
+ *****************************************************************************
+ * Copyright (C) 2005-2009 VLC authors and VideoLAN
+ * $Id$
+ *
+ * Author: Vianney Boyer <vlcvboyer -at- gmail -dot- com>
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU Lesser General Public License as published by
+ * the Free Software Foundation; either version 2.1 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public License
+ * along with this program; if not, write to the Free Software Foundation,
+ * Inc., 51 Franklin Street, Fifth Floor, Boston MA 02110-1301, USA.
+ *****************************************************************************/
+
+/*****************************************************************************
+ * Preamble
+ *****************************************************************************/
+
+#ifdef HAVE_CONFIG_H
+# include "config.h"
+#endif
+#include <math.h>
+
+#include <vlc_common.h>
+#include <vlc_rand.h>
+
+#include "puzzle_bezier.h"
+
+/* scale bezier curve to fit into piece diagonal limits */
+point_t *puzzle_scale_curve_H(int32_t i_width, int32_t i_lines, uint8_t i_pts_nbr, point_t *ps_pt, int32_t i_shape_size)
+{
+ if (ps_pt == NULL)
+ return NULL;
+
+ float f_x_ratio = ((float) i_width) / (1 - (-1));
+ float f_y_ratio = (((float)i_lines) / 2) / (1 - (0));
+ float f_x_offset = ((float)i_width) / (1 - (-1));
+ float f_y_offset = 0;
+ float f_bez_x, f_bez_y;
+
+ float f_current_scale = 1;
+
+ uint8_t i_last_pt = (3 * (i_pts_nbr-1) + 1);
+
+ point_t *ps_new_pt = malloc( sizeof( point_t ) * i_last_pt );
+ if (ps_new_pt == NULL)
+ return NULL;
+
+ bool b_fit = true;
+
+ /* check if the curve fit with available space */
+ do {
+ b_fit = true;
+
+ for (uint8_t i_p = 0; i_p < i_last_pt; i_p++) {
+ if ( i_p == 0 || i_p == 1 )
+ ps_new_pt[i_p].f_x = ps_pt[i_p].f_x * f_x_ratio + f_x_offset;
+ else if ( i_p == i_last_pt - 2 || i_p == i_last_pt - 1 )
+ ps_new_pt[i_p].f_x = ps_pt[i_p].f_x * f_x_ratio + f_x_offset;
+ else
+ ps_new_pt[i_p].f_x = ps_pt[i_p].f_x * f_x_ratio * f_current_scale + f_x_offset;
+ ps_new_pt[i_p].f_y = ps_pt[i_p].f_y * f_y_ratio * f_current_scale + f_y_offset;
+ }
+
+ for (float f_t = 0; f_t <= i_pts_nbr - 1; f_t += 0.1 ) {
+ int8_t i_main_t = floor(f_t);
+ if ( i_main_t == i_pts_nbr - 1 )
+ i_main_t = i_pts_nbr - 2;
+ float f_sub_t = f_t - i_main_t;
+
+ f_bez_x = bezier_val(ps_new_pt,f_sub_t,i_main_t,x);
+ f_bez_y = bezier_val(ps_new_pt,f_sub_t,i_main_t,y);
+
+ if ( f_bez_x < ((float) i_width) / 2 ) {
+ if ( abs ( f_bez_y ) > ( f_bez_x * ( 0.9 * ((float)i_lines) / ((float)i_width) ) ) )
+ b_fit = false;
+ }
+ else {
+ if ( abs ( f_bez_y ) > ( ( ((float)i_width) - f_bez_x ) * ( 0.9 * ((float)i_lines) / ((float)i_width) ) ) )
+ b_fit = false;
+ }
+ }
+
+ if (!b_fit)
+ f_current_scale = f_current_scale * 0.9;
+ }
+ while ((!b_fit) && (f_current_scale>0.1));
+
+ if (!b_fit) {
+ free(ps_new_pt);
+ ps_new_pt = NULL;
+ }
+
+ /* global scale shall be applied: */
+ f_current_scale = f_current_scale * (0.5 + 0.5* (float)i_shape_size / 100);
+ for (uint8_t i_p = 0; i_p < i_last_pt; i_p++) {
+ if ( i_p == 0 || i_p == 1 )
+ ps_new_pt[i_p].f_x = ps_pt[i_p].f_x * f_x_ratio + f_x_offset;
+ else if ( i_p == i_last_pt - 2 || i_p == i_last_pt - 1 )
+ ps_new_pt[i_p].f_x = ps_pt[i_p].f_x * f_x_ratio + f_x_offset;
+ else
+ ps_new_pt[i_p].f_x = ps_pt[i_p].f_x * f_x_ratio * f_current_scale + f_x_offset;
+ ps_new_pt[i_p].f_y = ps_pt[i_p].f_y * f_y_ratio * f_current_scale + f_y_offset;
+ }
+
+ return ps_new_pt;
+}
+
+/* compute horizontal data to create scaled vertical data */
+point_t *puzzle_H_2_scale_curve_V(int32_t i_width, int32_t i_lines, uint8_t i_pts_nbr, point_t *ps_pt, int32_t i_shape_size)
+{
+ if (ps_pt == NULL)
+ return NULL;
+
+ point_t *ps_bezier_scale_H = puzzle_scale_curve_H(i_lines, i_width, i_pts_nbr, ps_pt, i_shape_size);
+ point_t *ps_pts_V = puzzle_curve_H_2_V(i_pts_nbr, ps_bezier_scale_H);
+ free(ps_bezier_scale_H);
+
+ return ps_pts_V;
+}
+
+/* compute horizontal data to create vertical data */
+point_t *puzzle_curve_H_2_V(uint8_t i_pts_nbr, point_t *ps_pt)
+{
+ if (ps_pt == NULL)
+ return NULL;
+
+ point_t *ps_new_pt = malloc( sizeof( point_t ) * (3 * (i_pts_nbr-1) + 1) );
+
+ if (ps_new_pt == NULL)
+ return NULL;
+
+ for (uint8_t i=0; i < (3 * (i_pts_nbr-1) + 1); i++) {
+ ps_new_pt[i].f_x = ps_pt[i].f_y;
+ ps_new_pt[i].f_y = ps_pt[i].f_x;
+ }
+
+ return ps_new_pt;
+}
+
+/* compute horizontal data to create negative ones */
+point_t *puzzle_curve_H_2_negative(uint8_t i_pts_nbr, point_t *ps_pt)
+{
+ if (ps_pt == NULL)
+ return NULL;
+
+ point_t *ps_new_pt = malloc( sizeof( point_t ) * (3 * (i_pts_nbr-1) + 1) );
+ if (ps_new_pt == NULL)
+ return NULL;
+
+ for (uint8_t i=0; i < (3 * (i_pts_nbr-1) + 1); i++) {
+ ps_new_pt[i].f_x = ps_pt[i].f_x;
+ ps_new_pt[i].f_y = -ps_pt[i].f_y;
+ }
+
+ return ps_new_pt;
+}
+
+/* compute vertical data to create negative ones */
+point_t *puzzle_curve_V_2_negative(uint8_t i_pts_nbr, point_t *ps_pt)
+{
+ if (ps_pt == NULL)
+ return NULL;
+
+ point_t *ps_new_pt = malloc( sizeof( point_t ) * (3 * (i_pts_nbr-1) + 1) );
+ if (ps_new_pt == NULL)
+ return NULL;
+
+ for (uint8_t i=0; i < (3 * (i_pts_nbr-1) + 1); i++) {
+ ps_new_pt[i].f_x = -ps_pt[i].f_x;
+ ps_new_pt[i].f_y = ps_pt[i].f_y;
+ }
+
+ return ps_new_pt;
+}
+
+/* generate random bezier data */
+point_t *puzzle_rand_bezier(uint8_t i_pts_nbr)
+{
+#define NB_PRIM 13
+ point_t ps_pt[NB_PRIM][19] = { {{ -1, 0}, { -0.708333333333333, 0},
+ { -0.375, -0.333333333333333}, { -0.166666666666667, 0.0833333333333333}, { -0.0833333333333334, 0.208333333333333},
+ { -0.375, 0.416666666666667}, { -0.4, 0.583333333333333}, { -0.416666666666667, 0.833333333333333},
+ { -0.25, 1}, { 0, 1}, { 0.25, 1},
+ { 0.416666666666667, 0.833333333333333}, { 0.4, 0.583333333333333}, { 0.375, 0.416666666666667},
+ { 0.0833333333333334, 0.208333333333333}, { 0.166666666666667, 0.0833333333333333}, { 0.375, -0.333333333333333},
+ { 0.708333333333333, 0}, { 1, 0}},
+
+ {{ -1, 0}, { -0.708231074018077, 0.00464090724581488},
+ { -0.323236452068492, -0.372786060362316}, { -0.116455168200171, 0.044302770499351}, { -0.0335691043909019, 0.211488362938889},
+ { -0.437927544463254, 0.38719460194857}, { -0.465325829944998, 0.551293871552922}, { -0.483454564038933, 0.65987409733561},
+ { -0.190232837055291, 0.93567381392124}, { 0.0642797691187335, 0.936855546259066}, {0.313367868665637, 0.938012091966671},
+ {0.487146524283283, 0.816195130161918}, {0.469545566313243, 0.564387421486367}, {0.446892478470506, 0.24030153060388},
+ {0.207135456718658, 0.246041323358689}, {0.287851875888374, 0.122157561245575}, {0.492785457693622, -0.19237501290106},
+ { 0.707786879710212, 0.000871347032899226}, {1, 0}},
+
+ {{ -1, 0}, { -0.704537606957651, 0.00470344095405053},
+ { -0.435930692234854, -0.352359270526667}, { -0.228149843936683, 0.0679948519756222}, { -0.146863413857337, 0.232442568245956},
+ { -0.400774053301818, 0.353459760810654}, { -0.422294600163745, 0.522585095895632}, { -0.436816721748459, 0.636711316521778},
+ { -0.139151386987432, 1.08020929564109}, { 0.110882572064929, 1.08261729027387}, {0.36153850539327, 1.08503127493587},
+ {0.34588115345217, 0.865990116291394}, {0.329903557511847, 0.612892723601664}, {0.308148644342904, 0.26827818823501},
+ {0.127493141873546, 0.13002329074962}, {0.214157995034913, 0.0010516930680228}, {0.419298604696494, -0.304231373969182},
+ { 0.710915592189813, -0.00442574861414977}, {1, 0}},
+
+ {{ -1, 0}, { -0.712310641244798, -0.00176730760415818},
+ { -0.493540738434648, -0.309260977632173}, { -0.285884861158849, 0.102814242456153}, { -0.204387117876255, 0.264539501285563},
+ { -0.420693738052021, 0.397849004532357}, { -0.441431505287778, 0.562611714939519}, { -0.461628378308195, 0.723076990818189},
+ { -0.237390284827422, 0.937205665156549}, { 0.012635296180645, 0.941029970697368}, {0.262998571390198, 0.94485944149288},
+ {0.388416614305901, 0.85661645417048}, {0.371248440058972, 0.611257540385605}, {0.345208629600827, 0.239109662732447},
+ {0.0581354739284663, 0.176880217503811}, {0.136998743377185, 0.0517079719473858}, {0.348267592311711, -0.283619188873049},
+ { 0.708090161530147, 0.000345266964160967}, {1, 0}},
+
+ {{ -1, 0}, { -0.711243094744545, -0.00459592941542872},
+ { -0.344045254972826, -0.249350550360079}, { -0.133712969208732, 0.170729185550043}, { -0.0464161071620253, 0.345080177938788},
+ { -0.422103631801675, 0.334575981154338}, { -0.450380528566562, 0.498555760394576}, { -0.467099640727027, 0.595511106801977},
+ { -0.207078052226595, 0.975846125373965}, { 0.042159574981007, 0.973462055639965}, {0.287191021206139, 0.971118219914322},
+ {0.330852515542335, 0.808592956913444}, {0.310390322812144, 0.55585802623889}, {0.283433878730578, 0.222910569628582},
+ {0.164262943948071, 0.173598366742734}, {0.251741291720702, 0.049453960261478}, {0.457341230249114, -0.24232203906962},
+ { 0.708383662881845, 0.00453591968074395}, {1, 0}},
+
+ {{ -1, 0}, { -0.709563566764519, 0.000504612933340335},
+ { -0.401784990268149, -0.401999124062464}, { -0.193592021826356, 0.0146187796927396}, { -0.111906932669809, 0.178079970851903},
+ { -0.31875772800715, 0.350308507939804}, { -0.348317101378293, 0.519642874263023}, { -0.364751907373417, 0.613791604139223},
+ { -0.261109769059908, 0.917602975781519}, { -0.0140971269841824, 0.920487199482641}, {0.239116574515885, 0.923443829366756},
+ {0.464370661288271, 0.826483978760365}, {0.447638420230199, 0.579781906213412}, {0.422345781938457, 0.206864359478527},
+ {0.125463036793575, 0.196073913812856}, {0.210079852894537, 0.0665488867084866}, {0.418467910269307, -0.25243580242811},
+ { 0.703900021885974, 0.00330911444674605}, {1, 0}},
+
+ {{ -1, 0}, { -0.705550924110721, 0.00312677407583926},
+ { -0.415041079490389, -0.256262603613135}, { -0.206251758814373, 0.165228519752475}, { -0.127460686840124, 0.324287121648782},
+ { -0.353486555975517, 0.448219649272319}, { -0.374301593332884, 0.615673871700604}, { -0.394013085772568, 0.774250221227079},
+ { -0.28341474824943, 1.03226208905838}, { -0.0332682368974526, 1.03258310507818}, {0.21500235815775, 1.03290171371209},
+ {0.359673321091526, 0.870921326239785}, {0.339932613238046, 0.624982013252291}, {0.312186121753393, 0.279302764858672},
+ {0.115889225615101, 0.23413749518865}, {0.199563649684811, 0.112671061164123}, {0.404949947429742, -0.185479078044395},
+ { 0.711077310890697, -0.00496397607736578}, {1, 0}},
+
+ {{ -1, 0}, { -0.703393023950601, 0.00477096251262726},
+ { -0.397655885794691, -0.396549402674607}, { -0.188941722741602, 0.0154382717692692}, { -0.108388702754651, 0.174444497740687},
+ { -0.373390092271521, 0.482883861046198}, { -0.40085845720332, 0.649893787354158}, { -0.415216707820891, 0.73719313638733},
+ { -0.207371750103189, 0.945376369116883}, { 0.0450859051405016, 0.945770549381538}, {0.295681992651987, 0.946161823046823},
+ {0.436428045351514, 0.895032817250379}, {0.416214840162102, 0.640148265397975}, {0.392784984133714, 0.344702377534045},
+ {0.112552686103251, 0.228040049100136}, {0.197835182813393, 0.100734153702732}, {0.405083123585628, -0.208636299638369},
+ { 0.710532321943806, 0.00118461271792703}, {1, 0}},
+
+ {{ -1, 0}, { -0.708545258498605, -0.00125649641636185},
+ { -0.337498620726249, -0.244893936731276}, { -0.124910631945282, 0.17201407250253}, { -0.0378099534640198, 0.342827911406433},
+ { -0.388593443990334, 0.484174318751186}, { -0.418161094500799, 0.649198946145559}, { -0.437373248647437, 0.756426897124284},
+ { -0.189109020838902, 0.919750563663455}, { 0.0617320119458061, 0.92141119323056}, {0.31608889374516, 0.923095098586168},
+ {0.498311890876136, 0.848907293614162}, {0.486010157001842, 0.596632149071449}, {0.461260133020122, 0.0890763897591911},
+ {0.075676233826577, 0.15314863012444}, {0.155893607369245, 0.0261168678327565}, {0.366248653274704, -0.307000149194794},
+ { 0.711164480468843, 0.00394203362859574}, {1, 0}},
+
+ {{ -1, 0}, { -0.707183721193905, 0.00108263364450203},
+ { -0.483784802307194, -0.278675576139177}, { -0.276928949597787, 0.142419327760986}, { -0.193170452053892, 0.312925871385917},
+ { -0.451215340488792, 0.477259970702323}, { -0.47460300367851, 0.643765731024187}, { -0.494031809431451, 0.782086864170215},
+ { -0.236790915210626, 0.959374429536679}, { 0.0132927154237516, 0.955639549881874}, {0.267150847268955, 0.951848299853113},
+ {0.394360682972295, 0.847565361471232}, {0.378470732344786, 0.601630247482969}, {0.354536849929646, 0.231195987620713},
+ {0.0517827835992971, 0.214030018332778}, {0.131796334571256, 0.0912722226051247}, {0.336621017220957, -0.222972380306016},
+ { 0.703679022364791, -0.00331356185794636}, {1, 0}},
+
+ {{ -1, 0}, { -0.71248840208346, -0.000315316402810925},
+ { -0.335615004340797, -0.24819255482402}, { -0.131187942697538, 0.164054053482729}, { -0.0493962500017139, 0.3289947791894},
+ { -0.419381248020232, 0.390159881019368}, { -0.441651048160997, 0.558451191050566}, { -0.455822752006908, 0.665545758156122},
+ { -0.233491027161151, 0.962685238392525}, { 0.0133445688612305, 0.95860585518251}, {0.262151404887793, 0.954493893837471},
+ {0.353774477399895, 0.909561597589476}, {0.33709535778317, 0.660905314411181}, {0.31704981166686, 0.362061544110332},
+ {0.105412252277536, 0.191206346512902}, {0.186218651070473, 0.0649153599195794}, {0.398293919310497, -0.266533575537957},
+ { 0.704071013216639, 0.00309631694609307}, {1, 0}},
+
+ {{ -1, 0}, { -0.705056079463317, 0.00448211481221729},
+ { -0.436957920272407, -0.370262236529651}, { -0.229712063674328, 0.0431705143488563}, { -0.148227797168837, 0.205722687925072},
+ { -0.393257971601542, 0.424195267916701}, { -0.413510880163265, 0.589027317989955}, { -0.431898814144998, 0.738680926783159},
+ { -0.283603628196569, 0.915912313032585}, { -0.0357952161759055, 0.912250885919817}, {0.219122757016883, 0.908484413381742},
+ {0.443769349276008, 0.835076661704473}, {0.426106787792343, 0.583529647320461}, {0.400589787646949, 0.220121134430258},
+ {0.160593774137044, 0.15625323679053}, {0.245514983733696, 0.0314675787386357}, {0.452432214072397, -0.272582526914925},
+ { 0.707859045957901, -0.00364987569003833}, {1, 0}},
+
+ { { -1, 0}, { -0.707920686483174, 0.00318900911649754},
+ { -0.434372174464315, -0.307446433658587}, { -0.22207624254243, 0.109425261995917}, { -0.137453117820789, 0.275594180895755},
+ { -0.340508174095858, 0.364631782467402}, { -0.369080584284576, 0.527714098008385}, { -0.383671882476694, 0.610996631060469},
+ { -0.233753076988816, 0.939761357928644}, { 0.0204626018463874, 0.936196353095824}, {0.268226367774715, 0.932721826949446},
+ {0.500766516589953, 0.908734435247741}, {0.488915515020803, 0.659928459184412}, {0.468202989215343, 0.225079120105809},
+ {0.106186153956061, 0.298643666003939}, {0.184680334657865, 0.170455849778656}, {0.39345790442032, -0.1704960590812},
+ { 0.713223372514099, -0.000707944210808817}, {1, 0}}
+ };
+
+ if (i_pts_nbr != 7)
+ return NULL;
+
+ /* random shape */
+ uint8_t i_last_pt = (3 * (i_pts_nbr-1) + 1);
+ uint8_t i_item = ((uint16_t) vlc_mrand48()) % NB_PRIM;
+
+ point_t *ps_new_pt = malloc( sizeof( point_t ) * i_last_pt );
+ if (ps_new_pt == NULL)
+ return NULL;
+
+ if ((vlc_mrand48() & 1) == 1)
+ for (uint8_t i=0; i < i_last_pt; i++) {
+ ps_new_pt[i].f_x = ps_pt[i_item][i].f_x;
+ ps_new_pt[i].f_y = ps_pt[i_item][i].f_y;
+ }
+ else
+ for (uint8_t i=0; i < i_last_pt; i++) {
+ ps_new_pt[i].f_x = ps_pt[i_item][i_last_pt-1-i].f_x;
+ ps_new_pt[i].f_y = ps_pt[i_item][i_last_pt-1-i].f_y;
+ }
+
+ /* random shape size */
+ float f_current_scale = 0.7 + ( (float) (vlc_mrand48() % 1001 ) / 1000 )*0.3;
+ for (uint8_t i_p = 0; i_p < i_last_pt; i_p++) {
+ if ( i_p != 0 && i_p != 1 && i_p != i_last_pt - 2 && i_p != i_last_pt - 1 )
+ ps_new_pt[i_p].f_x = ps_new_pt[i_p].f_x * f_current_scale;
+ ps_new_pt[i_p].f_y = ps_new_pt[i_p].f_y * f_current_scale;
+ }
+
+ /* random shape shift */
+ float f_offset = ( ( (float) (vlc_mrand48() % 1001 ) / 1000 ) - 0.5 ) * 0.2;
+ for (uint8_t i=1; i < i_pts_nbr - 1; i++) {
+ ps_new_pt[i*3-1].f_x += f_offset;
+ ps_new_pt[i*3].f_x += f_offset;
+ ps_new_pt[i*3+1].f_x += f_offset;
+ }
+
+ return ps_new_pt;
+}
+
diff --git a/modules/video_filter/puzzle_bezier.h b/modules/video_filter/puzzle_bezier.h
new file mode 100644
index 0000000..1518a13
--- /dev/null
+++ b/modules/video_filter/puzzle_bezier.h
@@ -0,0 +1,43 @@
+/*****************************************************************************
+ * puzzle_bezier.h : Bezier curves management
+ *****************************************************************************
+ * Copyright (C) 2005-2009 VLC authors and VideoLAN
+ * $Id$
+ *
+ * Author: Vianney Boyer <vlcvboyer -at- gmail -dot- com>
+ *
+ * This program is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU Lesser General Public License as published by
+ * the Free Software Foundation; either version 2.1 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public License
+ * along with this program; if not, write to the Free Software Foundation,
+ * Inc., 51 Franklin Street, Fifth Floor, Boston MA 02110-1301, USA.
+ *****************************************************************************/
+
+#ifndef VLC_LIB_BEZIER_H
+#define VLC_LIB_BEZIER_H 1
+
+typedef struct {
+ float f_x, f_y;
+ } point_t;
+
+point_t *puzzle_scale_curve_H(int32_t i_width, int32_t i_lines, uint8_t i_pts_nbr, point_t *ps_pt, int32_t i_shape_size);
+point_t *puzzle_H_2_scale_curve_V(int32_t i_width, int32_t i_lines, uint8_t i_pts_nbr, point_t *ps_pt, int32_t i_shape_size);
+point_t *puzzle_curve_H_2_V(uint8_t i_pts_nbr, point_t *ps_pt);
+point_t *puzzle_curve_H_2_negative(uint8_t i_pts_nbr, point_t *ps_pt);
+point_t *puzzle_curve_V_2_negative(uint8_t i_pts_nbr, point_t *ps_pt);
+point_t *puzzle_rand_bezier(uint8_t i_pts_nbr);
+
+#define bezier_val(ps_pt,f_sub_t,i_main_t,axis) (( 1 - (f_sub_t)) * ( 1 - (f_sub_t) ) * ( 1 - (f_sub_t) ) * ps_pt[ 3 * (i_main_t) ].f_ ## axis \
+ + 3 * (f_sub_t) * ( 1 - (f_sub_t) ) * ( 1 - (f_sub_t) ) * ps_pt[ 3 * (i_main_t) + 1 ].f_ ## axis \
+ + 3 * (f_sub_t) * (f_sub_t) * ( 1 - (f_sub_t) ) * ps_pt[ 3 * (i_main_t) + 2 ].f_ ## axis \
+ + (f_sub_t) * (f_sub_t) * (f_sub_t) * ps_pt[ 3 * (i_main_t) + 3 ].f_ ## axis )
+
+#endif
--
1.7.9.5
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