17 files changed, 4804 insertions, 0 deletions
diff --git a/apps/plugin.c b/apps/plugin.c
index 47f2465631..a1ffa3abe1 100644
--- a/apps/plugin.c
+++ b/apps/plugin.c
@@ -448,6 +448,7 @@ static const struct plugin_api rockbox_api = {
    pcm_play_pause,
    pcm_get_bytes_waiting,
    pcm_calculate_peaks,
+    pcm_get_peak_buffer,
    pcm_play_lock,
    pcm_play_unlock,
 #ifdef HAVE_RECORDING
diff --git a/apps/plugin.h b/apps/plugin.h
index a7a6203e53..a87d873713 100644
--- a/apps/plugin.h
+++ b/apps/plugin.h
@@ -580,6 +580,7 @@ struct plugin_api {
    void (*pcm_play_pause)(bool play);
    size_t (*pcm_get_bytes_waiting)(void);
    void (*pcm_calculate_peaks)(int *left, int *right);
+    const void* (*pcm_get_peak_buffer)(int *count);
    void (*pcm_play_lock)(void);
    void (*pcm_play_unlock)(void);
 #ifdef HAVE_RECORDING
diff --git a/apps/plugins/CATEGORIES b/apps/plugins/CATEGORIES
index cf6e2663fa..218055e311 100644
--- a/apps/plugins/CATEGORIES
+++ b/apps/plugins/CATEGORIES
@@ -24,6 +24,7 @@ dict,apps
 disktidy,apps
 doom,games
 euroconverter,apps
+fft,demos
 fire,demos
 fireworks,demos
 firmware_flash,apps
diff --git a/apps/plugins/SUBDIRS b/apps/plugins/SUBDIRS
index 99d3060459..a0d68af510 100644
--- a/apps/plugins/SUBDIRS
+++ b/apps/plugins/SUBDIRS
@@ -19,6 +19,9 @@ rockboy
 #ifdef HAVE_TAGCACHE
 pictureflow
 #endif
+#if CONFIG_CODEC == SWCODEC && !defined(HAVE_TOUCHSCREEN)
+fft
+#endif
 chessbox
 fractals
 imageviewer
diff --git a/apps/plugins/bitmaps/native/SOURCES b/apps/plugins/bitmaps/native/SOURCES
index 63f229272d..ed8c3c7cc8 100644
--- a/apps/plugins/bitmaps/native/SOURCES
+++ b/apps/plugins/bitmaps/native/SOURCES
@@ -261,6 +261,11 @@ clock_logo.112x64x1.bmp
 clock_messages.112x64x1.bmp
 #endif
+/* FFT only needs a bitmap with colors mapping to amplitude */
+#ifdef HAVE_LCD_COLOR 
+fft_colors.16.bmp
+#endif
 /* Flipit */
 #ifdef HAVE_LCD_COLOR
 #if LCD_WIDTH >= 480
diff --git a/apps/plugins/bitmaps/native/fft_colors.16.bmp b/apps/plugins/bitmaps/native/fft_colors.16.bmp
new file mode 100644
index 0000000000..20f6718bf8
--- /dev/null
+++ b/apps/plugins/bitmaps/native/fft_colors.16.bmp
Binary files differ
diff --git a/apps/plugins/fft/SOURCES b/apps/plugins/fft/SOURCES
new file mode 100644
index 0000000000..07fb013eaa
--- /dev/null
+++ b/apps/plugins/fft/SOURCES
@@ -0,0 +1,4 @@
+kiss_fft.c
+kiss_fftr.c
+fft.c
+math.c
diff --git a/apps/plugins/fft/_kiss_fft_guts.h b/apps/plugins/fft/_kiss_fft_guts.h
new file mode 100644
index 0000000000..e9ce9e9a9c
--- /dev/null
+++ b/apps/plugins/fft/_kiss_fft_guts.h
@@ -0,0 +1,152 @@
+/*
+Copyright (c) 2003-2004, Mark Borgerding
+All rights reserved.
+Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
+    * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
+    * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
+    * Neither the author nor the names of any contributors may be used to endorse or promote products derived from this software without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+/* kiss_fft.h
+   defines kiss_fft_scalar as either short or a float type
+   and defines
+   typedef struct { kiss_fft_scalar r; kiss_fft_scalar i; }kiss_fft_cpx; */
+#include "kiss_fft.h"
+#include "math.h"
+#include <limits.h>
+#define MAXFACTORS 32
+/* e.g. an fft of length 128 has 4 factors
+ as far as kissfft is concerned
+ 4*4*4*2
+ */
+struct kiss_fft_state{
+    int nfft;
+    int inverse;
+    int factors[2*MAXFACTORS];
+    kiss_fft_cpx twiddles[1];
+};
+/*
+  Explanation of macros dealing with complex math:
+   C_MUL(m,a,b)         : m = a*b
+   C_FIXDIV( c , div )  : if a fixed point impl., c /= div. noop otherwise
+   C_SUB( res, a,b)     : res = a - b
+   C_SUBFROM( res , a)  : res -= a
+   C_ADDTO( res , a)    : res += a
+ * */
+#ifdef FIXED_POINT
+#if (FIXED_POINT==32)
+# define FRACBITS 31
+# define SAMPPROD int64_t
+#define SAMP_MAX 2147483647
+#else
+# define FRACBITS 15
+# define SAMPPROD int32_t
+#define SAMP_MAX 32767
+#endif
+#define SAMP_MIN -SAMP_MAX
+#if defined(CHECK_OVERFLOW)
+#  define CHECK_OVERFLOW_OP(a,op,b)  \
+        if ( (SAMPPROD)(a) op (SAMPPROD)(b) > SAMP_MAX || (SAMPPROD)(a) op (SAMPPROD)(b) < SAMP_MIN ) { \
+                fprintf(stderr,"WARNING:overflow @ " __FILE__ "(%d): (%d " #op" %d) = %ld\n",__LINE__,(a),(b),(SAMPPROD)(a) op (SAMPPROD)(b) );  }
+#endif
+#   define smul(a,b) ( (SAMPPROD)(a)*(b) )
+#   define sround( x )  (kiss_fft_scalar)( ( (x) + (1<<(FRACBITS-1)) ) >> FRACBITS )
+#   define S_MUL(a,b) sround( smul(a,b) )
+#   define C_MUL(m,a,b) \
+      do{ (m).r = sround( smul((a).r,(b).r) - smul((a).i,(b).i) ); \
+          (m).i = sround( smul((a).r,(b).i) + smul((a).i,(b).r) ); }while(0)
+#   define DIVSCALAR(x,k) \
+        (x) = sround( smul(  x, SAMP_MAX/k ) )
+#   define C_FIXDIV(c,div) \
+        do {    DIVSCALAR( (c).r , div);  \
+                DIVSCALAR( (c).i  , div); }while (0)
+#   define C_MULBYSCALAR( c, s ) \
+    do{ (c).r =  sround( smul( (c).r , s ) ) ;\
+        (c).i =  sround( smul( (c).i , s ) ) ; }while(0)
+#else  /* not FIXED_POINT*/
+#   define S_MUL(a,b) ( (a)*(b) )
+#define C_MUL(m,a,b) \
+    do{ (m).r = (a).r*(b).r - (a).i*(b).i;\
+        (m).i = (a).r*(b).i + (a).i*(b).r; }while(0)
+#   define C_FIXDIV(c,div) /* NOOP */
+#   define C_MULBYSCALAR( c, s ) \
+    do{ (c).r *= (s);\
+        (c).i *= (s); }while(0)
+#endif
+#ifndef CHECK_OVERFLOW_OP
+#  define CHECK_OVERFLOW_OP(a,op,b) /* noop */
+#endif
+#define  C_ADD( res, a,b)\
+    do { \
+            CHECK_OVERFLOW_OP((a).r,+,(b).r)\
+            CHECK_OVERFLOW_OP((a).i,+,(b).i)\
+            (res).r=(a).r+(b).r;  (res).i=(a).i+(b).i; \
+    }while(0)
+#define  C_SUB( res, a,b)\
+    do { \
+            CHECK_OVERFLOW_OP((a).r,-,(b).r)\
+            CHECK_OVERFLOW_OP((a).i,-,(b).i)\
+            (res).r=(a).r-(b).r;  (res).i=(a).i-(b).i; \
+    }while(0)
+#define C_ADDTO( res , a)\
+    do { \
+            CHECK_OVERFLOW_OP((res).r,+,(a).r)\
+            CHECK_OVERFLOW_OP((res).i,+,(a).i)\
+            (res).r += (a).r;  (res).i += (a).i;\
+    }while(0)
+#define C_SUBFROM( res , a)\
+    do {\
+            CHECK_OVERFLOW_OP((res).r,-,(a).r)\
+            CHECK_OVERFLOW_OP((res).i,-,(a).i)\
+            (res).r -= (a).r;  (res).i -= (a).i; \
+    }while(0)
+#ifdef FIXED_POINT
+#  define HALF_OF(x) ((x)>>1)
+#else
+#  define HALF_OF(x) ((x)*.5)
+#endif
+#define  kf_cexp(x, k, n) \
+        do{ \
+                int32_t div = Q_DIV( (k) << 16, (n) << 16, 16 ); \
+                long cos, sin = fp_sincos(div << 16, &cos); \
+                (x)->r = ( Q_MUL(SAMP_MAX << 16, cos >> 15, 16) ) >> 16; \
+                (x)->i = ( Q_MUL(SAMP_MAX << 16, -1*(sin >> 15), 16) ) >> 16; \
+        }while(0)
+#define  kf_cexp_round(x, k, n) \
+        do{ \
+                int32_t div = Q_DIV( (k) << 16, (n) << 16, 16 ) + (1 << 15); \
+                long cos, sin = fp_sincos(div << 16, &cos); \
+                (x)->r = ( Q_MUL(SAMP_MAX << 16, cos >> 15, 16) ) >> 16; \
+                (x)->i = ( Q_MUL(SAMP_MAX << 16, -1*(sin >> 15), 16) ) >> 16; \
+        }while(0)
+/* a debugging function */
+#define pcpx(c)\
+    fprintf(stderr,"%g + %gi\n",(double)((c)->r),(double)((c)->i) )
diff --git a/apps/plugins/fft/const.h b/apps/plugins/fft/const.h
new file mode 100644
index 0000000000..6f8cbe9f6e
--- /dev/null
+++ b/apps/plugins/fft/const.h
@@ -0,0 +1,2650 @@
+const int32_t hamming_8192 [] = {2514,2514,2514,2514,2514,2514,2514,2514,2514,2514,2514,2514,
+2514,2514,2514,2515,2515,2515,2515,2515,2515,2516,2516,2516,
+2516,2517,2517,2517,2517,2518,2518,2518,2518,2519,2519,2519,
+2520,2520,2520,2520,2521,2521,2522,2522,2522,2523,2523,2524,
+2524,2525,2525,2526,2526,2526,2527,2527,2528,2528,2529,2529,
+2530,2530,2531,2532,2532,2532,2533,2534,2534,2535,2536,2536,
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+2545,2546,2547,2547,2548,2549,2550,2550,2551,2552,2553,2554,
+2555,2556,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,
+2566,2567,2568,2568,2569,2570,2572,2573,2574,2574,2576,2577,
+2578,2579,2580,2581,2582,2583,2584,2586,2586,2588,2589,2590,
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+14727,14715,14704,14692,14681,14670,14658,14647,14636,14624,14613,14602,
+14590,14579,14567,14556,14545,14533,14522,14511,14499,14488,14476,14465,
+14454,14443,14431,14420,14409,14397,14386,14374,14363,14352,14341,14329,
+14318,14307,14295,14284,14273,14261,14250,14239,14228,14216,14205,14193,
+14182,14171,14160,14148,14137,14126,14114,14103,14092,14081,14069,14058,
+14047,14036,14024,14013,14002,13990,13979,13968,13957,13946,13934,13923,
+13912,13900,13889,13878,13867,13856,13844,13833,13822,13811,13799,13788,
+13777,13766,13754,13743,13732,13721,13710,13699,13687,13676,13665,13654,
+13643,13631,13620,13609,13598,13586,13575,13564,13553,13542,13531,13519,
+13508,13497,13486,13475,13464,13453,13441,13430,13419,13408,13397,13386,
+13374,13363,13352,13341,13330,13319,13308,13297,13286,13275,13264,13252,
+13241,13230,13219,13208,13197,13186,13175,13164,13152,13141,13130,13119,
+13108,13097,13086,13075,13064,13053,13042,13031,13020,13009,12998,12987,
+12976,12965,12953,12942,12931,12920,12910,12899,12887,12876,12865,12854,
+12843,12833,12821,12810,12799,12788,12778,12767,12755,12744,12733,12723,
+12712,12700,12689,12679,12668,12657,12646,12635,12624,12613,12602,12591,
+12580,12569,12558,12547,12537,12526,12514,12504,12493,12482,12471,12460,
+12449,12438,12427,12417,12406,12395,12384,12373,12362,12351,12340,12329,
+12319,12308,12297,12286,12275,12264,12254,12243,12232,12221,12210,12199,
+12189,12177,12167,12156,12145,12135,12123,12113,12102,12091,12081,12069,
+12059,12048,12037,12027,12016,12005,11994,11984,11972,11962,11951,11941,
+11930,11919,11908,11897,11887,11876,11865,11855,11844,11833,11822,11812,
+11801,11790,11780,11769,11758,11748,11737,11726,11715,11705,11694,11684,
+11673,11662,11652,11641,11630,11619,11609,11598,11587,11577,11566,11556,
+11545,11534,11524,11513,11503,11492,11481,11471,11461,11450,11439,11429,
+11418,11407,11397,11386,11376,11365,11355,11344,11334,11323,11312,11302,
+11291,11281,11270,11260,11249,11239,11228,11218,11207,11197,11186,11176,
+11165,11155,11144,11134,11124,11113,11102,11092,11082,11071,11061,11050,
+11040,11029,11019,11009,10998,10987,10977,10967,10956,10946,10936,10925,
+10915,10904,10894,10883,10873,10863,10853,10842,10832,10821,10811,10801,
+10790,10780,10769,10759,10749,10739,10728,10718,10708,10697,10687,10677,
+10667,10656,10646,10636,10625,10615,10605,10594,10584,10574,10564,10553,
+10543,10533,10522,10512,10502,10492,10482,10472,10462,10451,10441,10431,
+10420,10410,10400,10390,10380,10370,10360,10349,10339,10329,10319,10309,
+10299,10288,10278,10268,10258,10248,10238,10227,10217,10207,10197,10187,
+10177,10167,10157,10147,10137,10127,10117,10107,10096,10086,10077,10066,
+10056,10046,10036,10026,10016,10006,9996,9986,9976,9966,9956,9946,
+9936,9926,9916,9906,9896,9886,9876,9866,9856,9847,9836,9827,
+9817,9807,9797,9787,9777,9767,9757,9747,9737,9728,9717,9708,
+9698,9688,9678,9668,9658,9649,9639,9629,9619,9609,9599,9590,
+9580,9570,9560,9550,9541,9531,9521,9511,9501,9492,9482,9472,
+9462,9452,9443,9433,9423,9414,9404,9394,9384,9374,9365,9355,
+9345,9336,9326,9316,9307,9297,9287,9277,9268,9259,9249,9239,
+9229,9220,9210,9200,9191,9181,9172,9162,9152,9143,9133,9124,
+9114,9104,9095,9085,9076,9066,9057,9047,9037,9028,9018,9009,
+9000,8990,8980,8971,8961,8952,8942,8933,8923,8914,8904,8895,
+8886,8876,8867,8857,8848,8838,8829,8819,8810,8801,8791,8782,
+8772,8763,8753,8744,8735,8725,8716,8707,8697,8688,8679,8669,
+8660,8651,8641,8632,8622,8613,8604,8595,8585,8576,8567,8558,
+8548,8539,8530,8520,8511,8502,8493,8483,8474,8465,8456,8446,
+8437,8428,8419,8410,8401,8392,8382,8373,8364,8355,8345,8337,
+8327,8318,8309,8300,8291,8282,8272,8263,8254,8245,8236,8227,
+8218,8209,8200,8191,8182,8173,8164,8155,8146,8136,8127,8118,
+8109,8100,8091,8082,8073,8064,8055,8047,8037,8029,8019,8011,
+8002,7993,7984,7975,7966,7957,7948,7939,7930,7922,7912,7904,
+7895,7886,7877,7868,7859,7851,7842,7833,7824,7815,7806,7797,
+7789,7780,7771,7762,7754,7745,7736,7727,7718,7710,7701,7692,
+7683,7675,7666,7658,7649,7640,7631,7622,7614,7605,7597,7588,
+7579,7570,7562,7553,7544,7536,7527,7519,7510,7502,7493,7484,
+7476,7467,7459,7450,7442,7433,7424,7416,7407,7399,7390,7381,
+7373,7364,7356,7347,7339,7330,7322,7314,7305,7297,7288,7279,
+7271,7263,7254,7246,7237,7229,7220,7212,7204,7195,7187,7178,
+7170,7162,7153,7145,7137,7129,7120,7112,7104,7095,7087,7079,
+7070,7062,7054,7045,7037,7029,7020,7012,7004,6996,6988,6979,
+6971,6963,6954,6946,6937,6929,6921,6912,6905,6896,6888,6880,
+6872,6864,6856,6847,6839,6831,6823,6815,6807,6799,6791,6783,
+6774,6767,6758,6750,6742,6734,6726,6718,6710,6702,6694,6686,
+6678,6670,6662,6654,6646,6638,6630,6622,6614,6606,6599,6591,
+6582,6575,6567,6559,6551,6543,6535,6527,6520,6512,6504,6496,
+6488,6480,6473,6465,6457,6449,6441,6433,6425,6418,6410,6402,
+6395,6387,6379,6371,6364,6356,6348,6340,6333,6325,6317,6310,
+6302,6294,6286,6279,6271,6263,6256,6248,6241,6233,6226,6218,
+6210,6202,6195,6187,6180,6172,6165,6157,6149,6142,6135,6127,
+6119,6112,6105,6097,6089,6082,6075,6067,6059,6052,6045,6037,
+6030,6022,6015,6008,6000,5992,5985,5978,5970,5963,5955,5948,
+5941,5934,5926,5919,5912,5904,5897,5889,5883,5875,5868,5860,
+5853,5846,5839,5831,5824,5817,5810,5803,5795,5788,5781,5774,
+5767,5759,5752,5745,5738,5731,5723,5716,5709,5702,5695,5688,
+5681,5673,5666,5660,5652,5645,5638,5631,5624,5617,5610,5603,
+5596,5589,5582,5575,5568,5561,5554,5547,5540,5533,5526,5519,
+5512,5505,5498,5492,5485,5478,5471,5464,5457,5450,5443,5437,
+5430,5423,5416,5409,5402,5396,5389,5382,5375,5368,5361,5355,
+5348,5341,5335,5328,5321,5314,5307,5301,5294,5287,5281,5274,
+5267,5261,5254,5247,5241,5234,5227,5221,5214,5208,5201,5194,
+5188,5181,5174,5168,5161,5155,5149,5142,5135,5129,5122,5116,
+5109,5103,5096,5090,5083,5077,5071,5064,5058,5051,5045,5038,
+5032,5025,5019,5012,5006,5000,4993,4987,4981,4974,4968,4962,
+4956,4949,4943,4937,4930,4924,4918,4911,4905,4899,4892,4886,
+4880,4874,4867,4861,4855,4849,4843,4836,4830,4824,4818,4812,
+4806,4800,4794,4788,4782,4775,4769,4763,4757,4751,4745,4739,
+4733,4727,4721,4715,4709,4703,4697,4691,4685,4679,4673,4667,
+4661,4655,4649,4643,4637,4631,4625,4619,4613,4607,4601,4595,
+4589,4584,4578,4572,4566,4560,4555,4549,4543,4537,4531,4526,
+4520,4514,4508,4503,4497,4491,4485,4480,4474,4468,4463,4457,
+4451,4445,4440,4434,4428,4423,4417,4412,4406,4400,4395,4389,
+4384,4378,4373,4367,4361,4356,4350,4345,4339,4334,4328,4323,
+4317,4312,4306,4301,4295,4290,4284,4279,4273,4268,4263,4257,
+4252,4246,4241,4235,4230,4225,4219,4214,4209,4204,4198,4193,
+4187,4182,4177,4172,4166,4161,4156,4150,4145,4140,4135,4130,
+4124,4119,4114,4109,4103,4098,4093,4088,4083,4078,4072,4067,
+4062,4057,4052,4047,4042,4037,4032,4027,4022,4017,4012,4006,
+4002,3997,3992,3987,3982,3976,3972,3967,3962,3957,3952,3947,
+3942,3937,3932,3927,3922,3917,3913,3908,3903,3898,3893,3888,
+3884,3879,3874,3869,3864,3860,3855,3850,3845,3840,3836,3831,
+3826,3821,3817,3812,3807,3803,3798,3793,3789,3784,3779,3775,
+3770,3765,3761,3756,3752,3747,3742,3738,3733,3729,3724,3720,
+3715,3711,3706,3702,3697,3693,3688,3684,3679,3675,3670,3666,
+3661,3657,3652,3648,3644,3639,3635,3631,3626,3622,3617,3613,
+3609,3604,3600,3596,3591,3587,3583,3579,3574,3570,3566,3561,
+3557,3553,3549,3545,3541,3536,3532,3528,3524,3519,3515,3511,
+3507,3503,3499,3495,3491,3487,3482,3478,3474,3470,3466,3462,
+3458,3454,3450,3446,3442,3438,3434,3430,3426,3422,3418,3414,
+3410,3406,3403,3398,3395,3391,3387,3383,3379,3375,3371,3368,
+3364,3360,3356,3352,3348,3344,3341,3337,3333,3330,3326,3322,
+3318,3314,3311,3307,3303,3300,3296,3292,3289,3285,3281,3278,
+3274,3271,3267,3263,3260,3256,3253,3249,3245,3242,3238,3235,
+3231,3228,3224,3221,3217,3213,3210,3206,3203,3199,3196,3193,
+3189,3186,3182,3179,3175,3172,3169,3165,3162,3159,3156,3152,
+3149,3145,3142,3139,3135,3132,3129,3126,3122,3119,3116,3113,
+3109,3106,3103,3100,3097,3093,3090,3087,3084,3081,3078,3074,
+3072,3068,3065,3062,3059,3056,3053,3050,3047,3043,3041,3037,
+3035,3031,3029,3025,3023,3019,3017,3013,3011,3008,3005,3002,
+2999,2996,2993,2990,2988,2984,2982,2979,2976,2973,2970,2967,
+2965,2962,2959,2956,2953,2951,2948,2945,2942,2940,2937,2934,
+2931,2929,2926,2923,2921,2918,2916,2913,2910,2907,2905,2902,
+2899,2897,2894,2892,2889,2887,2884,2881,2879,2876,2874,2871,
+2869,2867,2864,2862,2859,2856,2854,2852,2849,2847,2844,2842,
+2839,2837,2835,2832,2830,2828,2826,2823,2821,2819,2816,2814,
+2812,2809,2807,2805,2802,2800,2798,2796,2793,2791,2789,2787,
+2784,2783,2780,2778,2776,2774,2772,2770,2767,2766,2763,2761,
+2759,2757,2755,2753,2751,2749,2747,2745,2742,2741,2739,2736,
+2735,2733,2731,2729,2727,2725,2723,2721,2719,2717,2715,2713,
+2712,2710,2708,2706,2704,2702,2700,2699,2697,2695,2694,2692,
+2690,2688,2686,2685,2683,2681,2679,2678,2676,2674,2673,2671,
+2669,2668,2666,2664,2663,2661,2659,2658,2656,2655,2653,2652,
+2650,2648,2647,2646,2644,2642,2641,2640,2638,2636,2635,2634,
+2632,2631,2629,2628,2626,2625,2623,2622,2621,2619,2618,2616,
+2615,2614,2613,2611,2610,2609,2607,2606,2605,2604,2602,2601,
+2600,2598,2598,2596,2595,2594,2592,2592,2590,2589,2588,2587,
+2586,2585,2583,2582,2581,2580,2579,2578,2577,2576,2575,2574,
+2573,2572,2571,2570,2568,2568,2567,2566,2565,2564,2563,2562,
+2561,2560,2559,2558,2557,2556,2556,2555,2554,2553,2552,2551,
+2551,2550,2549,2548,2548,2547,2546,2545,2544,2544,2543,2542,
+2542,2541,2540,2539,2539,2538,2538,2537,2536,2536,2535,2534,
+2534,2533,2532,2532,2532,2531,2531,2530,2529,2529,2528,2528,
+2527,2527,2526,2526,2526,2525,2525,2524,2524,2523,2523,2522,
+2522,2522,2521,2521,2520,2520,2520,2520,2519,2519,2519,2518,
+2518,2518,2518,2517,2517,2517,2517,2516,2516,2516,2516,2515,
+2515,2515,2515,2515,2515,2514,2514,2514,2514,2514,2514,2514,
+2514,2514,2514,2514,2514,2514,2514,2514};
+const int32_t hamming_4096 [] = {2514,2514,2514,2514,2514,2514,2514,2514,2515,2515,2515,2516,
+2516,2517,2517,2518,2518,2519,2520,2520,2521,2522,2522,2523,
+2524,2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2536,
+2537,2538,2539,2541,2542,2544,2545,2547,2548,2550,2551,2553,
+2555,2556,2558,2560,2562,2564,2566,2568,2569,2572,2574,2576,
+2578,2580,2582,2584,2586,2589,2591,2593,2596,2598,2601,2604,
+2606,2609,2611,2614,2616,2619,2622,2625,2628,2630,2633,2636,
+2639,2642,2645,2648,2652,2654,2658,2661,2664,2667,2671,2674,
+2677,2681,2684,2688,2691,2695,2699,2702,2706,2710,2713,2717,
+2721,2724,2729,2732,2736,2741,2744,2748,2753,2757,2761,2765,
+2769,2773,2778,2782,2787,2791,2796,2800,2804,2809,2814,2818,
+2823,2827,2832,2837,2842,2846,2851,2856,2861,2866,2871,2876,
+2881,2887,2892,2897,2902,2907,2912,2918,2923,2929,2934,2939,
+2945,2950,2956,2961,2967,2973,2978,2984,2990,2996,3001,3007,
+3013,3019,3025,3031,3037,3043,3049,3055,3061,3068,3074,3080,
+3087,3093,3099,3106,3112,3119,3125,3132,3139,3145,3151,3158,
+3165,3172,3179,3186,3192,3199,3206,3213,3220,3227,3234,3241,
+3248,3255,3263,3270,3277,3284,3292,3299,3307,3314,3321,3329,
+3337,3344,3352,3359,3367,3375,3382,3390,3398,3406,3414,3422,
+3429,3438,3446,3453,3462,3470,3478,3486,3494,3502,3511,3519,
+3527,3536,3544,3553,3561,3570,3578,3587,3595,3604,3613,3621,
+3630,3639,3647,3657,3666,3675,3684,3693,3702,3711,3720,3729,
+3738,3747,3756,3765,3775,3784,3793,3803,3812,3821,3831,3840,
+3850,3860,3869,3879,3888,3898,3908,3917,3927,3937,3947,3957,
+3967,3976,3987,3997,4006,4017,4027,4037,4047,4057,4067,4078,
+4088,4098,4109,4119,4130,4140,4150,4161,4172,4182,4193,4204,
+4214,4225,4235,4246,4257,4268,4279,4290,4301,4312,4323,4334,
+4345,4356,4367,4378,4389,4400,4412,4423,4434,4445,4457,4468,
+4480,4491,4503,4514,4526,4537,4549,4560,4572,4584,4595,4607,
+4619,4631,4643,4655,4667,4679,4691,4703,4715,4727,4739,4751,
+4763,4775,4788,4800,4812,4824,4836,4849,4861,4874,4886,4899,
+4911,4924,4937,4949,4962,4974,4987,5000,5012,5025,5038,5051,
+5064,5077,5090,5103,5116,5129,5142,5155,5168,5181,5194,5208,
+5221,5234,5247,5261,5274,5287,5301,5314,5328,5341,5355,5368,
+5382,5396,5409,5423,5437,5450,5464,5478,5492,5505,5519,5533,
+5547,5561,5575,5589,5603,5617,5631,5645,5660,5673,5688,5702,
+5716,5731,5745,5759,5774,5788,5803,5817,5831,5846,5860,5875,
+5889,5904,5919,5934,5948,5963,5978,5992,6008,6022,6037,6052,
+6067,6082,6097,6112,6127,6142,6157,6172,6187,6202,6218,6233,
+6248,6263,6279,6294,6310,6325,6340,6356,6371,6387,6402,6418,
+6433,6449,6465,6480,6496,6512,6527,6543,6559,6575,6591,6606,
+6622,6638,6654,6670,6686,6702,6718,6734,6750,6767,6783,6799,
+6815,6831,6847,6864,6880,6896,6912,6929,6946,6963,6979,6996,
+7012,7029,7045,7062,7079,7095,7112,7129,7145,7162,7178,7195,
+7212,7229,7246,7263,7279,7297,7314,7330,7347,7364,7381,7399,
+7416,7433,7450,7467,7484,7502,7519,7536,7553,7570,7588,7605,
+7622,7640,7658,7675,7692,7710,7727,7745,7762,7780,7797,7815,
+7833,7851,7868,7886,7904,7922,7939,7957,7975,7993,8011,8029,
+8047,8064,8082,8100,8118,8136,8155,8173,8191,8209,8227,8245,
+8263,8282,8300,8318,8337,8355,8373,8392,8410,8428,8446,8465,
+8483,8502,8520,8539,8558,8576,8595,8613,8632,8651,8669,8688,
+8707,8725,8744,8763,8782,8801,8819,8838,8857,8876,8895,8914,
+8933,8952,8971,8990,9009,9028,9047,9066,9085,9104,9124,9143,
+9162,9181,9200,9220,9239,9259,9277,9297,9316,9336,9355,9374,
+9394,9414,9433,9452,9472,9492,9511,9531,9550,9570,9590,9609,
+9629,9649,9668,9688,9708,9728,9747,9767,9787,9807,9827,9847,
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+14855,14832,14809,14786,14764,14741,14718,14695,14673,14650,14627,14604,
+14582,14559,14536,14513,14491,14468,14445,14423,14400,14377,14355,14332,
+14309,14287,14264,14241,14219,14196,14174,14151,14129,14106,14084,14061,
+14038,14016,13993,13971,13948,13926,13904,13881,13858,13836,13814,13791,
+13769,13746,13723,13701,13679,13657,13634,13612,13590,13567,13545,13522,
+13500,13478,13455,13433,13411,13389,13366,13344,13322,13300,13278,13255,
+13233,13211,13188,13166,13144,13122,13100,13078,13055,13034,13012,12989,
+12967,12945,12923,12901,12879,12857,12835,12813,12791,12769,12747,12725,
+12703,12682,12659,12638,12616,12594,12572,12550,12528,12507,12484,12463,
+12441,12419,12397,12376,12354,12332,12310,12289,12267,12245,12224,12202,
+12180,12159,12137,12116,12094,12072,12051,12029,12008,11986,11965,11943,
+11922,11900,11879,11857,11834,11813,11792,11770,11749,11727,11706,11685,
+11664,11642,11621,11599,11578,11557,11536,11515,11493,11472,11451,11430,
+11409,11388,11366,11346,11324,11303,11282,11261,11240,11219,11198,11177,
+11156,11135,11114,11093,11072,11052,11031,11010,10989,10968,10947,10926,
+10906,10885,10864,10843,10823,10802,10781,10761,10740,10719,10699,10678,
+10657,10637,10616,10596,10575,10555,10534,10514,10493,10473,10452,10432,
+10412,10391,10371,10351,10330,10310,10290,10270,10249,10229,10209,10188,
+10168,10148,10128,10108,10088,10068,10047,10028,10007,9987,9968,9947,
+9927,9908,9888,9867,9848,9828,9808,9788,9768,9748,9729,9709,
+9689,9669,9650,9630,9610,9591,9571,9552,9532,9512,9493,9473,
+9454,9434,9415,9395,9376,9356,9337,9318,9298,9279,9259,9240,
+9221,9202,9182,9163,9144,9125,9106,9086,9067,9048,9029,9010,
+8991,8972,8953,8934,8915,8896,8877,8858,8839,8820,8801,8783,
+8764,8745,8727,8708,8689,8670,8652,8633,8615,8596,8577,8559,
+8540,8522,8503,8485,8466,8448,8429,8411,8392,8374,8356,8338,
+8319,8301,8283,8265,8246,8228,8210,8192,8174,8156,8138,8120,
+8102,8084,8066,8048,8030,8012,7994,7976,7958,7941,7923,7905,
+7887,7869,7851,7834,7816,7799,7781,7763,7746,7728,7711,7694,
+7676,7658,7641,7624,7606,7589,7572,7554,7537,7520,7502,7485,
+7468,7451,7434,7417,7399,7382,7365,7348,7332,7315,7297,7281,
+7264,7247,7230,7213,7196,7180,7163,7146,7129,7113,7096,7080,
+7063,7046,7030,7013,6997,6980,6964,6948,6930,6913,6897,6881,
+6864,6848,6832,6816,6800,6784,6768,6751,6735,6719,6703,6687,
+6671,6655,6639,6623,6607,6592,6575,6560,6544,6528,6513,6497,
+6481,6466,6450,6434,6419,6403,6388,6372,6357,6341,6326,6310,
+6295,6280,6264,6249,6234,6219,6203,6188,6173,6158,6143,6128,
+6113,6098,6083,6068,6053,6038,6023,6009,5993,5979,5964,5949,
+5935,5920,5905,5890,5876,5861,5847,5832,5818,5804,5789,5775,
+5760,5746,5732,5717,5703,5689,5674,5660,5646,5632,5618,5604,
+5590,5576,5562,5548,5534,5520,5506,5492,5479,5465,5451,5437,
+5424,5410,5396,5383,5369,5355,5342,5329,5315,5302,5288,5275,
+5262,5248,5235,5221,5209,5195,5182,5169,5156,5143,5130,5117,
+5103,5090,5077,5065,5052,5039,5026,5013,5001,4988,4975,4962,
+4950,4937,4925,4912,4900,4887,4875,4862,4850,4837,4825,4813,
+4800,4788,4776,4764,4752,4740,4728,4716,4704,4692,4680,4668,
+4656,4644,4632,4620,4608,4596,4584,4573,4561,4549,4538,4526,
+4515,4503,4492,4481,4469,4457,4446,4435,4424,4412,4401,4390,
+4379,4367,4356,4345,4334,4323,4312,4301,4290,4279,4269,4258,
+4247,4236,4225,4215,4204,4193,4183,4172,4162,4151,4141,4130,
+4120,4109,4099,4089,4078,4068,4058,4048,4037,4028,4018,4007,
+3997,3987,3977,3967,3958,3947,3938,3928,3918,3909,3898,3889,
+3879,3870,3860,3850,3841,3831,3822,3813,3803,3794,3784,3775,
+3766,3757,3747,3738,3729,3720,3711,3702,3693,3684,3675,3666,
+3657,3648,3639,3631,3622,3613,3604,3596,3587,3579,3570,3561,
+3553,3545,3536,3528,3519,3511,3503,3495,3487,3478,3470,3462,
+3454,3446,3438,3430,3422,3414,3406,3398,3391,3383,3375,3368,
+3360,3352,3344,3337,3330,3322,3314,3307,3300,3292,3285,3278,
+3271,3263,3256,3249,3242,3235,3228,3221,3213,3206,3199,3193,
+3186,3179,3172,3165,3159,3152,3145,3139,3132,3126,3119,3113,
+3106,3100,3093,3087,3081,3074,3068,3062,3056,3050,3043,3037,
+3031,3025,3019,3013,3008,3002,2996,2990,2984,2979,2973,2967,
+2962,2956,2951,2945,2940,2934,2929,2923,2918,2913,2907,2902,
+2897,2892,2887,2881,2876,2871,2867,2862,2856,2852,2847,2842,
+2837,2832,2828,2823,2819,2814,2809,2805,2800,2796,2791,2787,
+2783,2778,2774,2770,2766,2761,2757,2753,2749,2745,2741,2736,
+2733,2729,2725,2721,2717,2713,2710,2706,2702,2699,2695,2692,
+2688,2685,2681,2678,2674,2671,2668,2664,2661,2658,2655,2652,
+2648,2646,2642,2640,2636,2634,2631,2628,2625,2622,2619,2616,
+2614,2611,2609,2606,2604,2601,2598,2596,2594,2592,2589,2587,
+2585,2582,2580,2578,2576,2574,2572,2570,2568,2566,2564,2562,
+2560,2558,2556,2555,2553,2551,2550,2548,2547,2545,2544,2542,
+2541,2539,2538,2537,2536,2534,2533,2532,2531,2530,2529,2528,
+2527,2526,2525,2524,2523,2522,2522,2521,2520,2520,2519,2518,
+2518,2517,2517,2516,2516,2515,2515,2515,2514,2514,2514,2514,
+2514,2514,2514,2514};
+const int32_t hamming_2048 [] = {2514,2514,2514,2514,2515,2515,2516,2517,2518,2520,2521,2522,
+2524,2526,2528,2530,2532,2534,2537,2539,2542,2545,2548,2551,
+2555,2558,2562,2566,2569,2574,2578,2582,2586,2591,2596,2601,
+2606,2611,2616,2622,2628,2633,2639,2645,2652,2658,2664,2671,
+2677,2684,2691,2699,2706,2713,2721,2729,2736,2744,2753,2761,
+2769,2778,2787,2796,2805,2814,2823,2832,2842,2852,2862,2871,
+2881,2892,2902,2913,2923,2934,2945,2956,2967,2979,2990,3002,
+3013,3025,3037,3050,3062,3074,3087,3100,3113,3126,3139,3152,
+3165,3179,3193,3206,3221,3235,3249,3263,3278,3292,3307,3322,
+3337,3352,3368,3383,3398,3414,3430,3446,3462,3478,3495,3511,
+3528,3545,3561,3579,3596,3613,3631,3648,3666,3684,3702,3720,
+3738,3757,3775,3794,3813,3831,3850,3870,3889,3909,3928,3947,
+3967,3987,4007,4028,4048,4068,4089,4109,4130,4151,4172,4193,
+4215,4236,4258,4279,4301,4323,4345,4367,4390,4412,4435,4457,
+4481,4503,4526,4549,4573,4596,4620,4644,4668,4692,4716,4740,
+4764,4788,4813,4837,4862,4887,4912,4937,4962,4988,5013,5039,
+5065,5091,5117,5143,5170,5196,5222,5249,5275,5302,5330,5356,
+5384,5411,5438,5466,5493,5521,5549,5576,5605,5633,5661,5690,
+5718,5747,5775,5804,5833,5862,5891,5921,5950,5979,6009,6039,
+6069,6099,6129,6159,6189,6220,6250,6281,6311,6342,6373,6404,
+6435,6467,6498,6529,6561,6593,6624,6656,6688,6720,6752,6785,
+6817,6849,6882,6915,6948,6981,7014,7047,7080,7114,7147,7181,
+7214,7248,7282,7315,7350,7384,7418,7452,7486,7521,7556,7590,
+7625,7659,7694,7730,7765,7800,7835,7870,7906,7941,7977,8013,
+8049,8085,8121,8157,8193,8230,8266,8302,8338,8375,8412,8449,
+8486,8523,8560,8597,8634,8672,8709,8747,8784,8822,8860,8898,
+8935,8973,9011,9049,9088,9126,9164,9203,9243,9281,9320,9359,
+9397,9437,9475,9515,9554,9593,9632,9672,9711,9751,9791,9830,
+9870,9910,9950,9990,10030,10070,10110,10150,10191,10231,10272,10312,
+10353,10394,10435,10475,10516,10557,10598,10639,10681,10722,10763,10805,
+10846,10888,10929,10971,11012,11054,11096,11138,11180,11222,11264,11306,
+11348,11390,11432,11475,11517,11560,11602,11645,11688,11730,11773,11816,
+11860,11903,11946,11989,12032,12075,12118,12161,12205,12248,12291,12335,
+12378,12422,12466,12509,12553,12597,12640,12684,12728,12772,12816,12860,
+12904,12948,12992,13037,13080,13125,13169,13213,13258,13302,13347,13392,
+13436,13481,13525,13570,13615,13659,13704,13749,13794,13839,13884,13928,
+13974,14018,14064,14109,14154,14199,14244,14289,14335,14380,14426,14471,
+14516,14562,14607,14653,14699,14745,14791,14836,14882,14927,14973,15019,
+15065,15110,15156,15202,15248,15294,15339,15385,15431,15477,15523,15569,
+15615,15661,15707,15753,15799,15845,15891,15938,15984,16030,16076,16122,
+16168,16214,16261,16307,16353,16399,16445,16492,16538,16584,16630,16677,
+16723,16769,16816,16862,16909,16955,17001,17048,17094,17141,17187,17233,
+17279,17326,17372,17419,17465,17512,17558,17604,17653,17699,17745,17791,
+17838,17884,17931,17977,18024,18070,18116,18163,18209,18255,18302,18348,
+18394,18441,18487,18534,18580,18626,18673,18719,18765,18811,18858,18904,
+18950,18996,19042,19089,19135,19181,19227,19273,19319,19366,19412,19458,
+19504,19550,19596,19642,19688,19734,19780,19826,19872,19918,19963,20010,
+20055,20101,20147,20192,20238,20284,20330,20375,20421,20467,20512,20558,
+20605,20650,20696,20741,20787,20832,20877,20922,20968,21013,21058,21103,
+21148,21194,21239,21284,21329,21374,21419,21464,21509,21553,21598,21643,
+21688,21732,21777,21822,21866,21911,21955,22000,22045,22089,22133,22177,
+22222,22266,22310,22354,22398,22442,22486,22530,22574,22618,22662,22706,
+22749,22793,22836,22880,22924,22967,23010,23054,23097,23140,23183,23227,
+23270,23313,23356,23399,23443,23486,23529,23571,23614,23657,23699,23742,
+23784,23826,23869,23911,23953,23995,24037,24079,24121,24163,24205,24247,
+24289,24331,24372,24414,24455,24496,24538,24579,24620,24661,24702,24743,
+24784,24825,24866,24907,24947,24988,25029,25069,25109,25150,25190,25230,
+25270,25310,25350,25390,25430,25470,25510,25549,25589,25628,25667,25707,
+25746,25785,25824,25863,25902,25941,25980,26018,26058,26097,26135,26173,
+26212,26250,26288,26326,26364,26402,26440,26477,26515,26552,26590,26627,
+26665,26702,26739,26776,26813,26850,26887,26923,26960,26997,27033,27069,
+27105,27142,27178,27214,27250,27286,27321,27357,27392,27428,27463,27498,
+27533,27569,27604,27638,27673,27708,27742,27777,27811,27846,27880,27914,
+27948,27982,28015,28050,28083,28116,28150,28183,28217,28249,28283,28315,
+28350,28382,28415,28447,28480,28512,28544,28576,28609,28640,28672,28704,
+28736,28767,28798,28830,28861,28892,28923,28954,28984,29015,29046,29076,
+29106,29137,29167,29197,29227,29256,29286,29316,29345,29374,29404,29433,
+29462,29491,29519,29548,29577,29605,29633,29662,29690,29718,29746,29774,
+29801,29829,29856,29884,29911,29938,29965,29992,30018,30045,30072,30098,
+30124,30150,30176,30202,30229,30254,30280,30306,30331,30356,30381,30406,
+30431,30456,30480,30505,30529,30553,30577,30601,30625,30649,30673,30696,
+30720,30743,30766,30789,30812,30835,30857,30880,30902,30924,30946,30968,
+30991,31012,31034,31055,31077,31098,31119,31140,31161,31182,31203,31223,
+31243,31263,31284,31304,31323,31343,31363,31382,31402,31421,31440,31459,
+31478,31496,31515,31533,31552,31570,31588,31606,31624,31642,31659,31677,
+31694,31711,31728,31745,31762,31778,31794,31811,31827,31843,31859,31875,
+31890,31906,31921,31937,31951,31967,31981,31996,32010,32025,32039,32053,
+32068,32082,32095,32109,32122,32136,32149,32162,32175,32188,32200,32213,
+32225,32238,32250,32262,32274,32285,32297,32308,32319,32330,32341,32352,
+32363,32374,32384,32394,32405,32415,32425,32434,32444,32454,32463,32472,
+32481,32490,32499,32508,32516,32525,32533,32541,32549,32557,32564,32572,
+32579,32587,32593,32600,32607,32614,32620,32627,32633,32639,32645,32651,
+32657,32662,32668,32673,32678,32683,32688,32692,32697,32701,32706,32710,
+32714,32718,32721,32725,32728,32731,32735,32738,32741,32743,32746,32748,
+32750,32753,32755,32756,32758,32760,32761,32762,32764,32765,32766,32766,
+32767,32767,32767,32767,32767,32767,32767,32767,32766,32766,32765,32764,
+32762,32761,32760,32758,32756,32755,32753,32750,32749,32746,32743,32741,
+32738,32735,32731,32728,32725,32721,32718,32714,32710,32706,32701,32697,
+32693,32688,32683,32678,32673,32668,32662,32657,32651,32645,32639,32633,
+32627,32621,32614,32607,32600,32593,32587,32579,32572,32564,32557,32549,
+32541,32533,32525,32516,32508,32499,32491,32482,32472,32463,32454,32444,
+32435,32425,32415,32405,32395,32384,32374,32364,32352,32342,32331,32320,
+32308,32297,32286,32274,32262,32250,32238,32226,32213,32201,32188,32175,
+32162,32149,32136,32123,32109,32095,32082,32068,32054,32040,32026,32011,
+31997,31982,31967,31952,31937,31922,31906,31891,31875,31859,31843,31828,
+31811,31795,31779,31762,31745,31728,31711,31694,31677,31660,31642,31624,
+31606,31588,31570,31552,31534,31516,31497,31478,31459,31440,31421,31402,
+31383,31363,31344,31324,31304,31284,31264,31244,31223,31203,31182,31161,
+31141,31120,31099,31077,31056,31035,31013,30991,30969,30947,30925,30903,
+30880,30858,30835,30812,30790,30767,30744,30720,30697,30674,30650,30626,
+30602,30578,30554,30530,30505,30481,30457,30432,30407,30382,30357,30331,
+30307,30281,30255,30230,30203,30177,30151,30125,30099,30072,30046,30019,
+29993,29966,29939,29911,29885,29857,29830,29802,29774,29747,29719,29691,
+29663,29634,29606,29578,29549,29520,29492,29463,29434,29404,29375,29346,
+29317,29287,29257,29228,29198,29168,29138,29107,29077,29047,29016,28985,
+28955,28924,28893,28862,28831,28799,28768,28736,28705,28673,28641,28610,
+28577,28545,28513,28481,28448,28416,28383,28351,28317,28284,28251,28218,
+28184,28151,28117,28084,28050,28017,27983,27949,27915,27881,27846,27812,
+27778,27743,27709,27674,27639,27605,27569,27534,27499,27464,27429,27393,
+27358,27322,27286,27250,27215,27179,27143,27106,27070,27034,26997,26961,
+26925,26888,26851,26814,26777,26740,26703,26666,26629,26591,26554,26516,
+26479,26441,26403,26365,26327,26289,26251,26213,26175,26136,26098,26059,
+26020,25981,25942,25903,25864,25825,25786,25747,25708,25668,25629,25590,
+25550,25511,25471,25431,25391,25352,25312,25271,25231,25191,25151,25111,
+25070,25030,24989,24949,24908,24867,24826,24786,24745,24704,24662,24621,
+24580,24539,24498,24456,24415,24373,24332,24290,24248,24206,24165,24123,
+24081,24039,23997,23954,23912,23870,23828,23785,23743,23700,23658,23615,
+23573,23530,23487,23444,23400,23357,23314,23271,23228,23185,23142,23098,
+23055,23012,22968,22925,22881,22838,22794,22750,22707,22663,22619,22575,
+22532,22488,22443,22400,22356,22311,22267,22223,22179,22135,22090,22046,
+22001,21957,21913,21868,21823,21779,21734,21689,21645,21600,21555,21510,
+21465,21420,21375,21330,21285,21240,21195,21150,21105,21060,21015,20969,
+20924,20878,20833,20788,20742,20697,20652,20606,20559,20514,20468,20422,
+20377,20331,20285,20240,20194,20148,20102,20057,20011,19965,19919,19873,
+19827,19782,19735,19689,19644,19597,19551,19506,19459,19413,19367,19321,
+19275,19229,19182,19136,19090,19044,18998,18952,18905,18859,18813,18766,
+18720,18674,18627,18581,18535,18489,18442,18396,18350,18303,18257,18211,
+18164,18118,18071,18025,17978,17932,17886,17839,17793,17747,17700,17654,
+17606,17560,17513,17467,17420,17374,17328,17281,17235,17188,17142,17096,
+17049,17003,16956,16910,16864,16817,16771,16725,16678,16632,16586,16539,
+16493,16447,16401,16354,16308,16262,16216,16170,16124,16077,16031,15985,
+15939,15893,15847,15800,15755,15709,15662,15616,15571,15524,15479,15432,
+15387,15341,15295,15249,15204,15157,15112,15066,15020,14975,14929,14883,
+14838,14792,14746,14701,14654,14608,14563,14518,14472,14427,14382,14336,
+14291,14246,14200,14156,14110,14065,14020,13975,13930,13885,13840,13795,
+13750,13705,13661,13616,13571,13526,13482,13437,13393,13348,13304,13259,
+13215,13170,13126,13082,13038,12994,12949,12905,12861,12817,12773,12730,
+12685,12642,12598,12554,12510,12467,12423,12380,12336,12293,12249,12206,
+12163,12120,12076,12033,11990,11947,11904,11861,11817,11774,11732,11689,
+11646,11604,11561,11519,11476,11434,11392,11349,11307,11265,11223,11181,
+11139,11097,11055,11014,10972,10930,10889,10847,10806,10764,10723,10682,
+10641,10600,10558,10517,10477,10436,10395,10354,10314,10273,10233,10192,
+10152,10112,10071,10031,9991,9951,9911,9872,9831,9792,9752,9713,
+9673,9634,9595,9555,9516,9477,9438,9399,9360,9321,9283,9244,
+9204,9166,9127,9089,9051,9012,8975,8936,8898,8861,8823,8785,
+8747,8710,8673,8635,8598,8561,8524,8487,8450,8413,8376,8340,
+8303,8267,8230,8194,8158,8122,8086,8050,8014,7978,7943,7907,
+7872,7836,7801,7766,7730,7695,7661,7626,7591,7556,7522,7487,
+7453,7419,7385,7351,7316,7283,7249,7215,7182,7148,7115,7081,
+7048,7015,6982,6949,6916,6883,6851,6818,6786,6753,6721,6689,
+6657,6625,6593,6562,6530,6499,6467,6436,6405,6374,6343,6312,
+6282,6251,6220,6190,6160,6130,6100,6070,6040,6010,5980,5951,
+5922,5892,5863,5834,5805,5776,5748,5719,5691,5662,5634,5606,
+5577,5550,5522,5494,5467,5439,5412,5384,5357,5330,5303,5276,
+5250,5223,5197,5170,5144,5118,5092,5066,5040,5014,4989,4963,
+4938,4913,4888,4863,4838,4813,4789,4764,4740,4716,4692,4668,
+4644,4620,4597,4574,4550,4527,4504,4481,4458,4436,4413,4391,
+4368,4346,4324,4302,4280,4258,4237,4216,4194,4173,4152,4131,
+4110,4090,4069,4048,4028,4008,3988,3968,3948,3928,3909,3890,
+3870,3851,3832,3813,3795,3776,3757,3739,3721,3703,3685,3667,
+3649,3631,3614,3597,3579,3562,3545,3528,3512,3495,3479,3463,
+3446,3430,3415,3399,3383,3368,3353,3338,3322,3308,3293,3278,
+3264,3249,3235,3221,3207,3193,3180,3166,3152,3139,3126,3113,
+3100,3087,3075,3062,3050,3038,3026,3014,3002,2991,2979,2968,
+2957,2946,2935,2924,2913,2903,2892,2882,2872,2862,2852,2842,
+2833,2823,2814,2805,2796,2787,2778,2770,2761,2753,2745,2736,
+2729,2721,2713,2706,2699,2692,2685,2678,2671,2664,2658,2652,
+2646,2640,2634,2628,2622,2616,2611,2606,2601,2596,2592,2587,
+2582,2578,2574,2570,2566,2562,2558,2555,2551,2548,2545,2542,
+2539,2537,2534,2532,2530,2528,2526,2524,2522,2521,2520,2518,
+2517,2516,2515,2515,2514,2514,2514,2514};
+const int32_t hamming_1024 [] = {2514,2514,2515,2516,2518,2521,2524,2528,2532,2537,2542,2548,
+2555,2562,2569,2578,2587,2596,2606,2616,2628,2640,2652,2664,
+2678,2692,2706,2721,2736,2753,2770,2787,2805,2823,2842,2862,
+2882,2903,2924,2946,2968,2991,3014,3038,3062,3087,3113,3139,
+3166,3193,3221,3250,3278,3308,3338,3368,3399,3431,3463,3496,
+3529,3563,3597,3632,3668,3703,3740,3777,3814,3852,3890,3929,
+3969,4009,4049,4090,4132,4174,4216,4259,4303,4348,4392,4437,
+4482,4529,4575,4622,4670,4718,4766,4815,4865,4914,4965,5016,
+5068,5120,5172,5225,5278,5332,5386,5441,5496,5552,5607,5664,
+5721,5778,5836,5894,5954,6013,6073,6133,6193,6254,6315,6377,
+6439,6502,6565,6628,6692,6756,6821,6886,6953,7019,7085,7152,
+7219,7286,7354,7422,7490,7560,7629,7699,7769,7839,7911,7982,
+8055,8126,8199,8272,8344,8418,8492,8566,8640,8715,8790,8865,
+8941,9017,9094,9170,9249,9326,9404,9482,9560,9639,9717,9797,
+9876,9956,10036,10117,10197,10278,10360,10441,10524,10606,10688,10771,
+10854,10937,11020,11104,11188,11272,11356,11441,11525,11610,11696,11781,
+11868,11954,12040,12126,12213,12300,12387,12474,12561,12648,12736,12824,
+12912,13001,13089,13177,13268,13356,13446,13535,13624,13714,13804,13893,
+13983,14073,14164,14254,14345,14435,14526,14617,14710,14800,14892,14983,
+15075,15166,15258,15349,15441,15533,15625,15717,15809,15902,15993,16086,
+16180,16272,16365,16457,16550,16642,16735,16828,16920,17013,17105,17198,
+17291,17384,17477,17570,17664,17757,17850,17942,18035,18128,18221,18314,
+18406,18499,18591,18684,18777,18869,18962,19054,19148,19240,19332,19425,
+19517,19609,19701,19793,19885,19976,20068,20160,20251,20342,20434,20525,
+20618,20709,20799,20890,20980,21071,21161,21251,21341,21431,21522,21611,
+21701,21790,21879,21968,22058,22147,22236,22324,22412,22500,22588,22675,
+22763,22850,22937,23024,23110,23197,23283,23369,23456,23542,23628,23712,
+23797,23882,23966,24051,24134,24218,24302,24385,24468,24551,24633,24715,
+24798,24880,24961,25042,25123,25204,25284,25364,25444,25523,25602,25681,
+25759,25837,25915,25993,26071,26148,26225,26301,26377,26453,26528,26603,
+26678,26752,26826,26899,26973,27045,27118,27190,27263,27334,27406,27476,
+27546,27617,27686,27755,27824,27893,27960,28028,28096,28163,28229,28295,
+28362,28427,28492,28556,28621,28684,28747,28810,28873,28935,28996,29057,
+29118,29178,29238,29297,29357,29416,29474,29531,29588,29645,29701,29757,
+29813,29867,29921,29976,30029,30082,30135,30187,30239,30290,30341,30391,
+30441,30490,30539,30587,30635,30682,30729,30775,30821,30866,30911,30956,
+31000,31043,31086,31128,31170,31211,31252,31293,31332,31372,31410,31448,
+31486,31523,31559,31596,31632,31667,31701,31735,31769,31802,31834,31866,
+31897,31928,31958,31988,32017,32045,32074,32101,32129,32155,32181,32206,
+32231,32255,32279,32302,32324,32346,32368,32389,32409,32429,32449,32467,
+32485,32503,32520,32537,32552,32568,32582,32597,32611,32623,32636,32648,
+32659,32670,32680,32690,32699,32708,32716,32723,32730,32736,32742,32747,
+32752,32755,32759,32762,32764,32766,32767,32767,32767,32767,32766,32764,
+32762,32759,32755,32752,32747,32742,32737,32730,32723,32716,32708,32699,
+32690,32680,32670,32659,32648,32636,32623,32611,32597,32583,32568,32553,
+32537,32521,32503,32486,32467,32449,32430,32410,32389,32368,32347,32325,
+32302,32279,32256,32232,32207,32181,32155,32129,32101,32074,32046,32017,
+31988,31959,31928,31898,31866,31835,31802,31769,31736,31702,31667,31632,
+31596,31560,31523,31486,31449,31411,31372,31333,31293,31253,31212,31171,
+31129,31087,31044,31001,30956,30912,30867,30822,30776,30730,30683,30636,
+30588,30540,30491,30442,30392,30342,30291,30240,30188,30136,30083,30030,
+29976,29922,29868,29813,29758,29702,29646,29589,29532,29475,29416,29358,
+29298,29239,29179,29119,29058,28997,28935,28874,28811,28748,28685,28622,
+28557,28493,28428,28363,28296,28230,28164,28097,28029,27962,27894,27825,
+27756,27687,27617,27548,27477,27406,27335,27264,27191,27119,27046,26973,
+26901,26827,26753,26678,26604,26529,26454,26378,26302,26226,26149,26072,
+25994,25917,25839,25761,25682,25603,25524,25445,25365,25285,25205,25125,
+25044,24963,24881,24800,24717,24634,24552,24469,24386,24303,24220,24136,
+24052,23968,23883,23799,23714,23628,23543,23458,23370,23285,23198,23112,
+23025,22938,22851,22764,22677,22589,22501,22413,22325,22237,22148,22060,
+21969,21880,21791,21702,21612,21523,21433,21343,21253,21163,21072,20982,
+20891,20801,20710,20619,20526,20435,20344,20252,20161,20070,19978,19886,
+19795,19702,19610,19518,19426,19334,19242,19150,19055,18963,18871,18778,
+18686,18593,18500,18408,18315,18222,18129,18037,17944,17851,17758,17665,
+17571,17478,17386,17293,17200,17107,17015,16922,16829,16736,16644,16551,
+16459,16366,16274,16181,16088,15995,15903,15811,15719,15626,15535,15443,
+15351,15259,15167,15076,14985,14893,14802,14711,14619,14528,14437,14346,
+14256,14165,14075,13985,13895,13805,13715,13626,13537,13447,13358,13269,
+13179,13090,13002,12914,12826,12737,12650,12562,12475,12388,12301,12214,
+12128,12041,11955,11869,11782,11697,11611,11527,11442,11357,11273,11189,
+11105,11022,10938,10855,10772,10690,10607,10525,10442,10361,10280,10198,
+10118,10037,9957,9878,9798,9719,9640,9561,9483,9405,9327,9250,
+9172,9095,9018,8942,8867,8791,8716,8641,8567,8493,8419,8345,
+8272,8200,8127,8055,7983,7911,7841,7770,7700,7630,7561,7492,
+7423,7355,7287,7219,7153,7086,7020,6954,6887,6822,6757,6693,
+6629,6566,6503,6440,6378,6316,6255,6194,6134,6074,6014,5955,
+5895,5837,5779,5721,5665,5608,5552,5497,5442,5387,5333,5279,
+5226,5173,5120,5069,5017,4966,4915,4865,4816,4767,4718,4670,
+4623,4576,4529,4483,4438,4393,4348,4304,4260,4217,4174,4132,
+4090,4050,4009,3969,3930,3891,3852,3814,3777,3740,3704,3668,
+3632,3597,3563,3530,3496,3464,3432,3400,3369,3338,3308,3279,
+3250,3222,3194,3167,3139,3114,3088,3063,3038,3014,2991,2968,
+2946,2924,2903,2882,2862,2843,2824,2805,2787,2770,2753,2737,
+2721,2706,2692,2678,2664,2652,2640,2628,2617,2606,2596,2587,
+2578,2570,2562,2555,2548,2542,2537,2532,2528,2524,2521,2518,
+2516,2515,2514,2514};
+const int32_t hamming_512  [] = {2514,2515,2518,2524,2532,2542,2555,2570,2587,2606,2628,2652,
+2678,2706,2737,2770,2806,2843,2882,2924,2969,3015,3064,3114,
+3168,3223,3280,3339,3401,3465,3531,3599,3669,3742,3816,3892,
+3972,4052,4135,4219,4307,4396,4486,4579,4674,4770,4869,4969,
+5073,5177,5283,5391,5502,5613,5727,5842,5960,6079,6200,6322,
+6447,6573,6700,6829,6961,7093,7227,7362,7500,7639,7779,7920,
+8064,8209,8355,8502,8652,8801,8953,9106,9261,9416,9572,9730,
+9890,10050,10211,10373,10538,10703,10868,11034,11203,11372,11541,11712,
+11884,12056,12229,12403,12579,12754,12930,13107,13286,13464,13643,13822,
+14003,14184,14365,14546,14729,14912,15095,15278,15463,15647,15831,16015,
+16201,16386,16571,16756,16943,17129,17315,17500,17687,17873,18058,18244,
+18431,18616,18801,18986,19173,19357,19542,19725,19910,20094,20277,20459,
+20643,20825,21006,21187,21368,21548,21727,21906,22085,22262,22438,22614,
+22790,22964,23138,23310,23483,23654,23824,23993,24162,24329,24495,24660,
+24825,24988,25150,25310,25471,25629,25786,25942,26098,26251,26403,26554,
+26704,26852,26999,27144,27289,27431,27572,27711,27850,27986,28121,28254,
+28386,28516,28644,28771,28897,29020,29141,29261,29380,29496,29610,29723,
+29835,29944,30051,30156,30260,30361,30461,30559,30655,30749,30840,30930,
+31018,31104,31188,31269,31349,31427,31502,31576,31647,31716,31783,31848,
+31911,31972,32030,32086,32141,32192,32242,32289,32335,32378,32419,32457,
+32494,32528,32560,32589,32617,32642,32665,32685,32703,32719,32733,32744,
+32754,32761,32765,32767,32767,32765,32761,32754,32744,32733,32719,32704,
+32685,32665,32642,32617,32589,32560,32528,32494,32458,32419,32378,32335,
+32290,32242,32193,32141,32087,32030,31972,31912,31848,31784,31717,31648,
+31576,31503,31427,31350,31270,31188,31105,31019,30931,30841,30749,30655,
+30559,30462,30362,30261,30157,30052,29945,29836,29724,29611,29497,29381,
+29262,29142,29021,28898,28772,28646,28517,28387,28255,28122,27987,27851,
+27712,27573,27432,27290,27145,27000,26853,26705,26555,26404,26252,26099,
+25943,25788,25631,25472,25312,25151,24989,24826,24661,24496,24331,24163,
+23994,23825,23655,23484,23311,23139,22966,22791,22615,22439,22263,22086,
+21907,21728,21549,21370,21188,21007,20826,20644,20461,20278,20095,19912,
+19727,19543,19359,19174,18988,18803,18617,18432,18245,18060,17874,17689,
+17502,17316,17130,16945,16758,16573,16388,16203,16016,15832,15648,15464,
+15279,15096,14913,14731,14548,14366,14185,14005,13823,13644,13465,13287,
+13108,12931,12755,12580,12404,12231,12057,11885,11713,11543,11373,11205,
+11036,10869,10704,10540,10375,10212,10051,9891,9731,9573,9417,9262,
+9107,8954,8803,8653,8503,8356,8210,8066,7922,7780,7640,7502,
+7363,7228,7094,6962,6830,6701,6574,6448,6323,6201,6080,5961,
+5843,5728,5614,5503,5392,5284,5178,5074,4970,4870,4771,4675,
+4579,4487,4396,4307,4220,4135,4053,3972,3893,3817,3742,3670,
+3600,3531,3466,3402,3340,3280,3223,3168,3115,3064,3015,2969,
+2925,2883,2843,2806,2770,2737,2707,2678,2652,2628,2606,2587,
+2570,2555,2543,2532,2524,2518,2515,2514};
+const int32_t hann_8192 [] = {1,1,1,1,1,1,1,1,1,1,1,1,
+1,1,1,2,2,2,2,2,2,3,3,3,
+3,4,4,4,4,5,5,5,5,6,6,6,
+7,7,7,8,8,9,9,9,10,10,11,11,
+12,12,13,13,14,14,15,15,16,16,17,17,
+18,18,19,20,20,21,21,22,23,23,24,25,
+25,26,27,28,28,29,30,31,31,32,33,34,
+34,35,36,37,38,39,40,40,41,42,43,44,
+45,46,47,48,49,50,51,52,53,54,55,56,
+57,58,59,60,61,62,63,64,65,66,68,69,
+70,71,72,73,75,76,77,78,79,81,82,83,
+84,86,87,88,90,91,92,94,95,96,98,99,
+100,102,103,105,106,107,109,110,112,113,115,116,
+118,119,121,122,124,125,127,128,130,132,133,135,
+136,138,140,141,143,145,146,148,150,151,153,155,
+156,158,160,162,163,165,167,169,171,172,174,176,
+178,180,182,183,185,187,189,191,193,195,197,199,
+201,203,205,207,209,211,213,215,217,219,221,223,
+225,227,229,231,233,235,237,240,242,244,246,248,
+250,253,255,257,259,261,264,266,268,270,273,275,
+277,280,282,284,287,289,291,294,296,298,301,303,
+306,308,310,313,315,318,320,323,325,328,330,333,
+335,338,340,343,345,348,351,353,356,358,361,364,
+366,369,372,374,377,380,382,385,388,390,393,396,
+399,401,404,407,410,412,415,418,421,424,427,429,
+432,435,438,441,444,447,450,453,456,458,461,464,
+467,470,473,476,479,482,485,488,492,495,498,501,
+504,507,510,513,516,519,523,526,529,532,535,538,
+542,545,548,551,554,558,561,564,567,571,574,577,
+581,584,587,591,594,597,601,604,607,611,614,618,
+621,625,628,631,635,638,642,645,649,652,656,659,
+663,666,670,674,677,681,684,688,691,695,699,702,
+706,710,713,717,721,724,728,732,735,739,743,747,
+750,754,758,762,766,769,773,777,781,785,788,792,
+796,800,804,808,812,816,820,823,827,831,835,839,
+843,847,851,855,859,863,867,871,875,879,884,888,
+892,896,900,904,908,912,916,921,925,929,933,937,
+941,946,950,954,958,962,967,971,975,980,984,988,
+992,997,1001,1005,1010,1014,1018,1023,1027,1032,1036,1040,
+1045,1049,1054,1058,1062,1067,1071,1076,1080,1085,1089,1094,
+1098,1103,1107,1112,1117,1121,1126,1130,1135,1139,1144,1149,
+1153,1158,1163,1167,1172,1177,1181,1186,1191,1195,1200,1205,
+1209,1214,1219,1224,1228,1233,1238,1243,1248,1252,1257,1262,
+1267,1272,1277,1282,1286,1291,1296,1301,1306,1311,1316,1321,
+1326,1331,1336,1341,1346,1351,1356,1361,1366,1371,1376,1381,
+1386,1391,1396,1401,1406,1411,1416,1421,1427,1432,1437,1442,
+1447,1452,1457,1463,1468,1473,1478,1483,1489,1494,1499,1504,
+1510,1515,1520,1526,1531,1536,1541,1547,1552,1557,1563,1568,
+1574,1579,1584,1590,1595,1601,1606,1611,1617,1622,1628,1633,
+1639,1644,1650,1655,1661,1666,1672,1677,1683,1688,1694,1699,
+1705,1711,1716,1722,1727,1733,1739,1744,1750,1756,1761,1767,
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+22971,22959,22948,22936,22925,22913,22902,22890,22879,22867,22856,22844,
+22832,22821,22809,22798,22786,22775,22763,22751,22740,22728,22717,22705,
+22694,22682,22670,22659,22647,22636,22624,22612,22601,22589,22577,22566,
+22554,22542,22531,22519,22508,22496,22484,22473,22461,22449,22438,22426,
+22414,22402,22391,22379,22367,22356,22344,22332,22321,22309,22297,22285,
+22274,22262,22250,22238,22227,22215,22203,22192,22180,22168,22156,22144,
+22133,22121,22109,22097,22086,22074,22062,22050,22038,22027,22015,22003,
+21991,21979,21968,21956,21944,21932,21920,21909,21897,21885,21873,21861,
+21849,21837,21826,21814,21802,21790,21778,21766,21754,21743,21731,21719,
+21707,21695,21683,21671,21659,21647,21636,21624,21612,21600,21588,21576,
+21564,21552,21540,21528,21516,21504,21493,21481,21469,21457,21445,21433,
+21421,21409,21397,21385,21373,21361,21349,21337,21325,21313,21301,21289,
+21277,21265,21253,21241,21229,21217,21205,21193,21181,21169,21157,21145,
+21133,21121,21109,21097,21085,21073,21061,21049,21037,21025,21013,21001,
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+20698,20686,20674,20662,20650,20638,20625,20613,20601,20589,20577,20565,
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+20407,20394,20382,20370,20358,20346,20333,20321,20309,20297,20285,20272,
+20260,20248,20236,20224,20211,20199,20187,20175,20163,20150,20138,20126,
+20114,20101,20089,20077,20065,20052,20040,20028,20016,20003,19991,19979,
+19967,19954,19942,19930,19918,19905,19893,19881,19868,19856,19844,19832,
+19819,19807,19795,19782,19770,19758,19746,19733,19721,19709,19696,19684,
+19672,19659,19647,19635,19622,19610,19598,19585,19573,19561,19549,19536,
+19524,19512,19499,19487,19474,19462,19450,19437,19425,19413,19400,19388,
+19376,19363,19351,19339,19326,19314,19302,19289,19277,19264,19252,19240,
+19227,19215,19203,19190,19178,19165,19153,19141,19128,19116,19103,19091,
+19079,19066,19054,19041,19029,19017,19004,18992,18979,18967,18955,18942,
+18930,18917,18905,18893,18880,18868,18855,18843,18830,18818,18806,18793,
+18781,18768,18756,18743,18731,18719,18706,18694,18681,18669,18656,18644,
+18631,18619,18607,18594,18582,18569,18557,18544,18532,18519,18507,18494,
+18482,18470,18457,18445,18432,18420,18407,18395,18382,18370,18357,18345,
+18332,18320,18307,18295,18282,18270,18257,18245,18233,18220,18208,18195,
+18183,18170,18158,18145,18133,18120,18108,18095,18083,18070,18058,18045,
+18033,18020,18008,17995,17983,17970,17958,17945,17933,17920,17908,17895,
+17883,17870,17857,17845,17832,17820,17807,17795,17782,17770,17757,17745,
+17732,17720,17707,17695,17682,17670,17657,17645,17632,17620,17607,17594,
+17582,17569,17557,17544,17532,17519,17507,17494,17482,17469,17457,17444,
+17432,17419,17406,17394,17381,17369,17356,17344,17331,17319,17306,17294,
+17281,17268,17256,17243,17231,17218,17206,17193,17181,17168,17155,17143,
+17130,17118,17105,17093,17080,17068,17055,17042,17030,17017,17005,16992,
+16980,16967,16955,16942,16929,16917,16904,16892,16879,16867,16854,16842,
+16829,16816,16804,16791,16779,16766,16754,16741,16728,16716,16703,16691,
+16678,16666,16653,16641,16628,16615,16603,16590,16578,16565,16553,16540,
+16527,16515,16502,16490,16477,16465,16452,16439,16427,16414,16402,16389,
+16375,16363,16350,16337,16325,16312,16300,16287,16275,16262,16249,16237,
+16224,16212,16199,16187,16174,16161,16149,16136,16124,16111,16099,16086,
+16074,16061,16048,16036,16023,16011,15998,15986,15973,15960,15948,15935,
+15923,15910,15898,15885,15873,15860,15847,15835,15822,15810,15797,15785,
+15772,15759,15747,15734,15722,15709,15697,15684,15672,15659,15646,15634,
+15621,15609,15596,15584,15571,15559,15546,15534,15521,15508,15496,15483,
+15471,15458,15446,15433,15421,15408,15395,15383,15370,15358,15345,15333,
+15320,15308,15295,15283,15270,15258,15245,15232,15220,15207,15195,15182,
+15170,15157,15145,15132,15120,15107,15095,15082,15070,15057,15045,15032,
+15019,15007,14994,14982,14969,14957,14944,14932,14919,14907,14894,14882,
+14869,14857,14844,14832,14819,14807,14794,14782,14769,14757,14744,14732,
+14719,14707,14694,14682,14669,14657,14644,14632,14619,14607,14594,14582,
+14569,14557,14544,14532,14519,14507,14494,14482,14469,14457,14444,14432,
+14419,14407,14395,14382,14370,14357,14345,14332,14320,14307,14295,14282,
+14270,14257,14245,14232,14220,14208,14195,14183,14170,14158,14145,14133,
+14120,14108,14096,14083,14071,14058,14046,14033,14021,14008,13996,13984,
+13971,13959,13946,13934,13921,13909,13897,13884,13872,13859,13847,13835,
+13822,13810,13797,13785,13772,13760,13748,13735,13723,13710,13698,13686,
+13673,13661,13648,13636,13624,13611,13599,13587,13574,13562,13549,13537,
+13525,13512,13500,13488,13475,13463,13450,13438,13426,13413,13401,13389,
+13376,13364,13352,13339,13327,13315,13302,13290,13278,13265,13253,13241,
+13228,13216,13204,13191,13179,13167,13154,13142,13130,13117,13105,13093,
+13080,13068,13056,13043,13031,13019,13007,12994,12982,12970,12957,12945,
+12933,12921,12908,12896,12884,12871,12859,12847,12835,12822,12810,12798,
+12786,12773,12761,12749,12737,12724,12712,12700,12688,12675,12663,12651,
+12639,12626,12614,12602,12590,12577,12565,12553,12541,12529,12516,12504,
+12492,12480,12468,12455,12443,12431,12419,12407,12394,12382,12370,12358,
+12346,12333,12321,12309,12297,12285,12273,12260,12248,12236,12224,12212,
+12200,12188,12175,12163,12151,12139,12127,12115,12103,12090,12078,12066,
+12054,12042,12030,12018,12006,11993,11981,11969,11957,11945,11933,11921,
+11909,11897,11885,11873,11860,11848,11836,11824,11812,11800,11788,11776,
+11764,11752,11740,11728,11716,11704,11692,11680,11668,11656,11644,11631,
+11619,11607,11595,11583,11571,11559,11547,11535,11523,11511,11499,11487,
+11475,11463,11451,11439,11427,11415,11404,11392,11380,11368,11356,11344,
+11332,11320,11308,11296,11284,11272,11260,11248,11236,11224,11212,11200,
+11188,11177,11165,11153,11141,11129,11117,11105,11093,11081,11069,11058,
+11046,11034,11022,11010,10998,10986,10974,10963,10951,10939,10927,10915,
+10903,10892,10880,10868,10856,10844,10832,10821,10809,10797,10785,10773,
+10761,10750,10738,10726,10714,10703,10691,10679,10667,10655,10644,10632,
+10620,10608,10597,10585,10573,10561,10550,10538,10526,10514,10503,10491,
+10479,10467,10456,10444,10432,10421,10409,10397,10386,10374,10362,10350,
+10339,10327,10315,10304,10292,10280,10269,10257,10245,10234,10222,10211,
+10199,10187,10176,10164,10152,10141,10129,10118,10106,10094,10083,10071,
+10060,10048,10036,10025,10013,10002,9990,9978,9967,9955,9944,9932,
+9921,9909,9898,9886,9875,9863,9851,9840,9828,9817,9805,9794,
+9782,9771,9759,9748,9736,9725,9713,9702,9691,9679,9668,9656,
+9645,9633,9622,9610,9599,9587,9576,9565,9553,9542,9530,9519,
+9507,9496,9485,9473,9462,9451,9439,9428,9416,9405,9394,9382,
+9371,9360,9348,9337,9326,9314,9303,9292,9280,9269,9258,9246,
+9235,9224,9212,9201,9190,9178,9167,9156,9145,9133,9122,9111,
+9100,9088,9077,9066,9055,9043,9032,9021,9010,8998,8987,8976,
+8965,8954,8942,8931,8920,8909,8898,8886,8875,8864,8853,8842,
+8831,8820,8808,8797,8786,8775,8764,8753,8742,8730,8719,8708,
+8697,8686,8675,8664,8653,8642,8631,8620,8609,8597,8586,8575,
+8564,8553,8542,8531,8520,8509,8498,8487,8476,8465,8454,8443,
+8432,8421,8410,8399,8388,8377,8366,8355,8344,8333,8323,8312,
+8301,8290,8279,8268,8257,8246,8235,8224,8213,8202,8192,8181,
+8170,8159,8148,8137,8126,8116,8105,8094,8083,8072,8061,8051,
+8040,8029,8018,8007,7996,7986,7975,7964,7953,7943,7932,7921,
+7910,7900,7889,7878,7867,7857,7846,7835,7824,7814,7803,7792,
+7782,7771,7760,7750,7739,7728,7718,7707,7696,7686,7675,7664,
+7654,7643,7632,7622,7611,7601,7590,7579,7569,7558,7548,7537,
+7526,7516,7505,7495,7484,7474,7463,7453,7442,7431,7421,7410,
+7400,7389,7379,7368,7358,7347,7337,7326,7316,7306,7295,7285,
+7274,7264,7253,7243,7232,7222,7212,7201,7191,7180,7170,7160,
+7149,7139,7129,7118,7108,7097,7087,7077,7066,7056,7046,7035,
+7025,7015,7004,6994,6984,6974,6963,6953,6943,6932,6922,6912,
+6902,6891,6881,6871,6861,6851,6840,6830,6820,6810,6800,6789,
+6779,6769,6759,6749,6738,6728,6718,6708,6698,6688,6678,6668,
+6657,6647,6637,6627,6617,6607,6597,6587,6577,6567,6557,6547,
+6536,6526,6516,6506,6496,6486,6476,6466,6456,6446,6436,6426,
+6416,6406,6396,6386,6377,6367,6357,6347,6337,6327,6317,6307,
+6297,6287,6277,6267,6258,6248,6238,6228,6218,6208,6198,6189,
+6179,6169,6159,6149,6139,6130,6120,6110,6100,6090,6081,6071,
+6061,6051,6042,6032,6022,6012,6003,5993,5983,5974,5964,5954,
+5945,5935,5925,5916,5906,5896,5887,5877,5867,5858,5848,5838,
+5829,5819,5810,5800,5790,5781,5771,5762,5752,5743,5733,5723,
+5714,5704,5695,5685,5676,5666,5657,5647,5638,5628,5619,5609,
+5600,5590,5581,5572,5562,5553,5543,5534,5524,5515,5506,5496,
+5487,5477,5468,5459,5449,5440,5431,5421,5412,5403,5393,5384,
+5375,5365,5356,5347,5338,5328,5319,5310,5300,5291,5282,5273,
+5263,5254,5245,5236,5227,5217,5208,5199,5190,5181,5172,5162,
+5153,5144,5135,5126,5117,5108,5098,5089,5080,5071,5062,5053,
+5044,5035,5026,5017,5008,4999,4990,4981,4972,4963,4954,4945,
+4936,4927,4918,4909,4900,4891,4882,4873,4864,4855,4846,4837,
+4828,4819,4810,4801,4791,4783,4774,4765,4756,4747,4738,4729,
+4721,4712,4703,4694,4685,4677,4668,4659,4650,4642,4633,4624,
+4615,4607,4598,4589,4580,4572,4563,4554,4546,4537,4528,4520,
+4511,4502,4494,4485,4476,4468,4459,4450,4442,4433,4425,4416,
+4407,4399,4390,4382,4373,4365,4356,4348,4339,4331,4322,4314,
+4305,4297,4288,4280,4271,4263,4254,4246,4237,4229,4221,4212,
+4204,4195,4187,4179,4170,4162,4153,4145,4137,4128,4120,4112,
+4103,4095,4087,4078,4070,4062,4054,4045,4037,4029,4021,4012,
+4004,3996,3988,3979,3971,3963,3955,3947,3938,3930,3922,3914,
+3906,3898,3890,3881,3873,3865,3857,3849,3841,3833,3825,3817,
+3809,3801,3793,3785,3776,3768,3760,3752,3744,3736,3728,3720,
+3713,3705,3697,3689,3681,3673,3665,3657,3649,3641,3633,3625,
+3617,3610,3602,3594,3586,3578,3570,3563,3555,3547,3539,3531,
+3524,3516,3508,3500,3492,3485,3477,3469,3461,3454,3446,3438,
+3431,3423,3415,3408,3400,3392,3385,3377,3369,3362,3354,3346,
+3339,3331,3324,3316,3309,3301,3293,3286,3278,3271,3263,3256,
+3248,3241,3233,3226,3218,3211,3203,3196,3188,3181,3173,3166,
+3159,3151,3144,3136,3129,3122,3114,3107,3100,3092,3085,3078,
+3070,3063,3056,3048,3041,3034,3026,3019,3012,3005,2997,2990,
+2983,2976,2968,2961,2954,2947,2940,2932,2925,2918,2911,2904,
+2897,2890,2882,2875,2868,2861,2854,2847,2840,2833,2826,2819,
+2812,2805,2798,2791,2784,2777,2770,2763,2756,2749,2742,2735,
+2728,2721,2714,2707,2700,2693,2686,2679,2672,2666,2659,2652,
+2645,2638,2631,2625,2618,2611,2604,2597,2591,2584,2577,2570,
+2563,2557,2550,2543,2537,2530,2523,2516,2510,2503,2496,2490,
+2483,2476,2470,2463,2457,2450,2443,2437,2430,2424,2417,2410,
+2404,2397,2391,2384,2378,2371,2365,2358,2352,2345,2339,2332,
+2326,2319,2313,2307,2300,2294,2287,2281,2274,2268,2262,2255,
+2249,2243,2236,2230,2224,2217,2211,2205,2198,2192,2186,2180,
+2173,2167,2161,2155,2148,2142,2136,2130,2124,2117,2111,2105,
+2099,2093,2087,2080,2074,2068,2062,2056,2050,2044,2038,2032,
+2026,2020,2014,2008,2002,1996,1990,1984,1978,1972,1966,1960,
+1954,1948,1942,1936,1930,1924,1918,1912,1906,1900,1895,1889,
+1883,1877,1871,1865,1860,1854,1848,1842,1836,1831,1825,1819,
+1813,1808,1802,1796,1790,1785,1779,1773,1768,1762,1756,1751,
+1745,1739,1734,1728,1722,1717,1711,1706,1700,1695,1689,1683,
+1678,1672,1667,1661,1656,1650,1645,1639,1634,1628,1623,1617,
+1612,1607,1601,1596,1590,1585,1580,1574,1569,1563,1558,1553,
+1547,1542,1537,1531,1526,1521,1516,1510,1505,1500,1495,1489,
+1484,1479,1474,1468,1463,1458,1453,1448,1443,1437,1432,1427,
+1422,1417,1412,1407,1402,1397,1391,1386,1381,1376,1371,1366,
+1361,1356,1351,1346,1341,1336,1331,1326,1321,1316,1312,1307,
+1302,1297,1292,1287,1282,1277,1272,1268,1263,1258,1253,1248,
+1243,1239,1234,1229,1224,1220,1215,1210,1205,1201,1196,1191,
+1186,1182,1177,1172,1168,1163,1158,1154,1149,1145,1140,1135,
+1131,1126,1122,1117,1113,1108,1103,1099,1094,1090,1085,1081,
+1076,1072,1067,1063,1059,1054,1050,1045,1041,1036,1032,1028,
+1023,1019,1015,1010,1006,1002,997,993,989,984,980,976,
+972,967,963,959,955,950,946,942,938,934,929,925,
+921,917,913,909,904,900,896,892,888,884,880,876,
+872,868,864,860,856,852,848,844,840,836,832,828,
+824,820,816,812,808,804,801,797,793,789,785,781,
+777,774,770,766,762,758,755,751,747,743,740,736,
+732,729,725,721,717,714,710,706,703,699,696,692,
+688,685,681,678,674,670,667,663,660,656,653,649,
+646,642,639,635,632,628,625,622,618,615,611,608,
+605,601,598,594,591,588,584,581,578,574,571,568,
+565,561,558,555,552,548,545,542,539,536,532,529,
+526,523,520,517,514,510,507,504,501,498,495,492,
+489,486,483,480,477,474,471,468,465,462,459,456,
+453,450,447,444,441,438,436,433,430,427,424,421,
+418,416,413,410,407,404,402,399,396,393,391,388,
+385,383,380,377,375,372,369,367,364,361,359,356,
+353,351,348,346,343,341,338,336,333,331,328,326,
+323,321,318,316,313,311,308,306,303,301,299,296,
+294,292,289,287,285,282,280,278,275,273,271,268,
+266,264,262,259,257,255,253,251,248,246,244,242,
+240,238,236,233,231,229,227,225,223,221,219,217,
+215,213,211,209,207,205,203,201,199,197,195,193,
+191,189,187,186,184,182,180,178,176,174,173,171,
+169,167,165,164,162,160,158,157,155,153,151,150,
+148,146,145,143,141,140,138,137,135,133,132,130,
+129,127,125,124,122,121,119,118,116,115,113,112,
+110,109,108,106,105,103,102,101,99,98,96,95,
+94,92,91,90,88,87,86,85,83,82,81,80,
+78,77,76,75,74,72,71,70,69,68,67,65,
+64,63,62,61,60,59,58,57,56,55,54,53,
+52,51,50,49,48,47,46,45,44,43,42,41,
+41,40,39,38,37,36,35,35,34,33,32,31,
+31,30,29,28,28,27,26,26,25,24,24,23,
+22,22,21,20,20,19,19,18,17,17,16,16,
+15,15,14,14,13,13,12,12,11,11,10,10,
+9,9,9,8,8,8,7,7,6,6,6,5,
+5,5,5,4,4,4,4,3,3,3,3,2,
+2,2,2,2,2,1,1,1,1,1,1,1,
+1,1,1,1,1,1,1,1};
+const int32_t hann_4096 [] = {1,1,1,1,1,1,1,1,2,2,2,3,
+3,4,4,5,5,6,7,7,8,9,10,11,
+12,13,14,15,16,17,18,19,20,21,23,24,
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+27150,27131,27112,27093,27074,27055,27036,27017,26998,26979,26959,26940,
+26921,26902,26882,26863,26844,26824,26805,26786,26766,26747,26727,26708,
+26688,26669,26649,26630,26610,26590,26571,26551,26531,26511,26492,26472,
+26452,26432,26412,26392,26373,26353,26333,26313,26293,26273,26253,26233,
+26212,26192,26172,26152,26132,26112,26091,26071,26051,26031,26010,25990,
+25969,25949,25929,25908,25888,25867,25847,25826,25806,25785,25765,25744,
+25723,25703,25682,25661,25640,25620,25599,25578,25557,25537,25516,25495,
+25474,25453,25432,25411,25390,25369,25348,25327,25306,25285,25264,25243,
+25221,25200,25179,25158,25137,25115,25094,25073,25051,25030,25009,24987,
+24966,24945,24923,24902,24880,24859,24837,24816,24794,24773,24751,24729,
+24708,24686,24664,24643,24621,24599,24577,24556,24534,24512,24490,24468,
+24446,24425,24403,24381,24359,24337,24315,24293,24271,24249,24227,24205,
+24183,24160,24138,24116,24094,24072,24050,24027,24005,23983,23961,23938,
+23916,23894,23871,23849,23827,23804,23782,23759,23737,23714,23692,23669,
+23647,23624,23602,23579,23557,23534,23511,23489,23466,23443,23421,23398,
+23375,23353,23330,23307,23284,23262,23239,23216,23193,23170,23147,23124,
+23101,23078,23056,23033,23010,22987,22964,22941,22918,22894,22871,22848,
+22825,22802,22779,22756,22733,22709,22686,22663,22638,22615,22592,22569,
+22545,22522,22499,22475,22452,22429,22405,22382,22359,22335,22312,22288,
+22265,22241,22218,22194,22171,22147,22124,22100,22077,22053,22030,22006,
+21982,21959,21935,21911,21888,21864,21840,21817,21793,21769,21746,21722,
+21698,21674,21650,21627,21603,21579,21555,21531,21507,21484,21460,21436,
+21412,21388,21364,21340,21316,21292,21268,21244,21220,21196,21172,21148,
+21124,21100,21076,21052,21028,21004,20979,20955,20931,20907,20883,20859,
+20835,20810,20786,20762,20738,20713,20689,20665,20641,20616,20592,20568,
+20544,20519,20495,20471,20446,20422,20397,20373,20349,20324,20300,20276,
+20251,20227,20202,20178,20153,20129,20104,20080,20055,20031,20006,19982,
+19957,19933,19908,19884,19859,19835,19810,19785,19761,19736,19712,19687,
+19662,19638,19613,19589,19564,19539,19515,19490,19465,19441,19416,19391,
+19366,19342,19317,19292,19268,19243,19218,19193,19169,19144,19119,19094,
+19069,19045,19020,18995,18970,18945,18921,18896,18871,18846,18821,18796,
+18771,18747,18722,18697,18672,18647,18622,18597,18572,18547,18523,18498,
+18473,18448,18423,18398,18373,18348,18323,18298,18273,18248,18223,18198,
+18173,18148,18123,18098,18073,18048,18023,17998,17973,17948,17923,17898,
+17873,17848,17823,17798,17773,17748,17723,17698,17673,17648,17623,17598,
+17573,17547,17522,17497,17472,17447,17422,17397,17372,17347,17322,17297,
+17272,17246,17221,17196,17171,17146,17121,17096,17071,17046,17021,16995,
+16970,16945,16920,16895,16870,16845,16820,16794,16769,16744,16719,16694,
+16669,16644,16619,16593,16568,16543,16518,16493,16468,16443,16417,16392,
+16366,16341,16315,16290,16265,16240,16215,16190,16165,16139,16114,16089,
+16064,16039,16014,15989,15964,15938,15913,15888,15863,15838,15813,15788,
+15763,15738,15712,15687,15662,15637,15612,15587,15562,15537,15512,15486,
+15461,15436,15411,15386,15361,15336,15311,15286,15261,15236,15211,15185,
+15160,15135,15110,15085,15060,15035,15010,14985,14960,14935,14910,14885,
+14860,14835,14810,14785,14760,14735,14710,14685,14660,14635,14610,14585,
+14560,14535,14510,14485,14460,14435,14410,14385,14360,14335,14310,14285,
+14260,14236,14211,14186,14161,14136,14111,14086,14061,14036,14012,13987,
+13962,13937,13912,13887,13862,13838,13813,13788,13763,13738,13714,13689,
+13664,13639,13614,13590,13565,13540,13515,13491,13466,13441,13416,13392,
+13367,13342,13318,13293,13268,13244,13219,13194,13170,13145,13120,13096,
+13071,13047,13022,12997,12973,12948,12924,12899,12874,12850,12825,12801,
+12776,12752,12727,12703,12678,12654,12629,12605,12581,12556,12532,12507,
+12483,12458,12434,12410,12385,12361,12337,12312,12288,12263,12239,12215,
+12191,12166,12142,12118,12093,12069,12045,12021,11997,11972,11948,11924,
+11900,11876,11851,11827,11803,11779,11755,11731,11707,11683,11659,11634,
+11610,11586,11562,11538,11514,11490,11466,11442,11418,11395,11371,11347,
+11323,11299,11275,11251,11227,11203,11180,11156,11132,11108,11084,11061,
+11037,11013,10989,10966,10942,10918,10894,10871,10847,10824,10800,10776,
+10753,10729,10705,10682,10658,10635,10611,10588,10564,10541,10517,10494,
+10470,10447,10424,10400,10377,10353,10330,10307,10283,10260,10237,10213,
+10190,10167,10144,10120,10096,10073,10049,10026,10003,9980,9957,9934,
+9911,9887,9864,9841,9818,9795,9772,9749,9726,9703,9680,9658,
+9635,9612,9589,9566,9543,9520,9498,9475,9452,9429,9406,9384,
+9361,9338,9316,9293,9270,9248,9225,9202,9180,9157,9135,9112,
+9090,9067,9045,9022,9000,8977,8955,8933,8910,8888,8866,8843,
+8821,8799,8776,8754,8732,8710,8687,8665,8643,8621,8599,8577,
+8555,8533,8511,8489,8467,8445,8423,8401,8379,8357,8335,8313,
+8291,8269,8247,8226,8204,8182,8160,8139,8117,8095,8074,8052,
+8030,8009,7987,7965,7944,7922,7901,7879,7858,7836,7815,7794,
+7772,7751,7730,7708,7687,7666,7644,7623,7602,7581,7559,7538,
+7517,7496,7475,7454,7433,7412,7391,7370,7349,7328,7307,7286,
+7265,7244,7223,7203,7182,7161,7140,7119,7099,7078,7057,7037,
+7016,6995,6975,6954,6934,6913,6893,6872,6852,6831,6811,6791,
+6770,6750,6730,6709,6689,6669,6649,6628,6608,6588,6568,6548,
+6528,6508,6488,6468,6448,6428,6408,6388,6368,6348,6328,6308,
+6288,6269,6249,6229,6209,6190,6170,6150,6131,6111,6092,6072,
+6053,6033,6014,5994,5975,5955,5936,5917,5897,5878,5859,5840,
+5820,5801,5782,5763,5744,5725,5706,5686,5667,5648,5629,5611,
+5592,5573,5554,5535,5516,5497,5479,5460,5441,5422,5404,5385,
+5367,5348,5329,5311,5292,5274,5255,5237,5219,5200,5182,5164,
+5145,5127,5109,5090,5072,5054,5036,5018,5000,4982,4964,4946,
+4928,4910,4892,4874,4856,4838,4820,4803,4784,4766,4748,4731,
+4713,4695,4678,4660,4643,4625,4608,4590,4573,4555,4538,4521,
+4503,4486,4469,4451,4434,4417,4400,4383,4366,4349,4332,4315,
+4298,4281,4264,4247,4230,4213,4196,4180,4163,4146,4129,4113,
+4096,4079,4063,4046,4030,4013,3997,3980,3964,3948,3931,3915,
+3899,3882,3866,3850,3834,3818,3802,3786,3769,3753,3737,3721,
+3706,3690,3674,3658,3642,3626,3611,3595,3579,3564,3548,3532,
+3517,3501,3486,3470,3455,3439,3424,3409,3393,3378,3363,3347,
+3332,3317,3302,3287,3272,3257,3242,3227,3212,3197,3182,3167,
+3152,3137,3123,3108,3093,3078,3064,3049,3035,3020,3005,2991,
+2977,2962,2948,2933,2919,2905,2890,2876,2862,2848,2834,2820,
+2805,2791,2777,2763,2749,2736,2722,2708,2694,2680,2666,2653,
+2639,2625,2612,2598,2585,2571,2558,2544,2531,2517,2504,2491,
+2477,2464,2451,2438,2424,2411,2398,2385,2372,2359,2346,2333,
+2320,2307,2294,2282,2269,2256,2243,2231,2218,2205,2193,2180,
+2168,2155,2143,2131,2118,2106,2094,2081,2069,2057,2045,2032,
+2020,2008,1996,1984,1972,1960,1948,1937,1925,1913,1901,1889,
+1878,1866,1854,1843,1831,1820,1808,1797,1785,1774,1763,1751,
+1740,1729,1718,1706,1695,1684,1673,1662,1651,1640,1629,1618,
+1607,1596,1586,1575,1564,1553,1543,1532,1522,1511,1500,1490,
+1480,1469,1459,1448,1438,1428,1418,1407,1397,1387,1377,1367,
+1357,1347,1337,1327,1317,1307,1297,1288,1278,1268,1259,1249,
+1239,1229,1220,1210,1201,1191,1182,1172,1163,1154,1145,1135,
+1126,1117,1108,1099,1090,1081,1072,1063,1054,1045,1036,1028,
+1019,1010,1002,993,984,976,967,959,950,942,934,925,
+917,909,900,892,884,876,868,860,852,844,836,828,
+820,812,804,797,789,781,774,766,758,751,743,736,
+729,721,714,706,699,692,685,678,670,663,656,649,
+642,635,628,622,615,608,601,594,588,581,574,568,
+561,555,548,542,536,529,523,517,510,504,498,492,
+486,480,474,468,462,456,450,444,438,433,427,421,
+416,410,404,399,393,388,383,377,372,367,361,356,
+351,346,341,336,331,326,321,316,311,306,301,296,
+292,287,282,278,273,268,264,259,255,251,246,242,
+238,233,229,225,221,217,213,209,205,201,197,193,
+189,186,182,178,174,171,167,164,160,157,153,150,
+146,143,140,137,133,130,127,124,121,118,115,112,
+109,106,103,101,98,95,92,90,87,85,82,80,
+77,75,72,70,68,65,63,61,59,57,55,53,
+51,49,47,45,43,41,40,38,36,35,33,31,
+30,28,27,26,24,23,22,20,19,18,17,16,
+15,14,13,12,11,10,9,8,8,7,6,5,
+5,4,4,3,3,2,2,2,1,1,1,1,
+1,1,1,1};
+const int32_t hann_2048 [] = {1,1,1,1,2,2,3,4,5,7,8,10,
+12,14,16,18,20,23,25,28,31,34,38,41,
+45,49,53,57,61,65,70,75,79,84,90,95,
+100,106,112,118,124,130,136,143,150,156,163,171,
+178,185,193,201,209,217,225,233,242,250,259,268,
+277,287,296,306,316,326,336,346,356,367,377,388,
+399,410,421,433,444,456,468,480,492,504,517,529,
+542,555,568,581,594,608,622,635,649,663,678,692,
+706,721,736,751,766,781,797,812,828,844,860,876,
+892,909,925,942,959,976,993,1010,1028,1045,1063,1081,
+1099,1117,1135,1154,1172,1191,1210,1229,1249,1268,1288,1307,
+1327,1347,1367,1387,1407,1428,1448,1469,1490,1511,1532,1553,
+1575,1596,1618,1640,1662,1684,1706,1729,1751,1774,1797,1820,
+1843,1866,1889,1913,1937,1960,1984,2008,2032,2057,2081,2106,
+2131,2155,2180,2205,2231,2256,2282,2307,2333,2359,2385,2411,
+2438,2464,2491,2517,2544,2571,2598,2625,2653,2680,2708,2736,
+2764,2792,2820,2849,2877,2906,2934,2963,2992,3021,3050,3079,
+3109,3138,3168,3198,3228,3258,3288,3318,3348,3379,3410,3440,
+3471,3502,3533,3564,3596,3627,3659,3691,3722,3754,3787,3819,
+3851,3883,3916,3949,3981,4014,4047,4081,4114,4147,4181,4214,
+4248,4282,4316,4350,4384,4418,4453,4487,4522,4556,4591,4626,
+4661,4696,4732,4767,4804,4839,4875,4911,4947,4983,5019,5055,
+5092,5128,5165,5201,5238,5275,5312,5349,5386,5424,5461,5499,
+5536,5574,5612,5650,5688,5726,5764,5802,5841,5879,5918,5957,
+5995,6034,6073,6113,6152,6191,6230,6270,6309,6349,6389,6429,
+6469,6509,6549,6589,6630,6670,6711,6751,6792,6833,6874,6915,
+6956,6997,7038,7079,7121,7162,7204,7246,7289,7330,7372,7414,
+7456,7499,7541,7583,7626,7668,7711,7754,7796,7839,7882,7925,
+7968,8011,8055,8098,8141,8185,8228,8272,8316,8359,8403,8447,
+8491,8535,8580,8624,8668,8712,8757,8801,8846,8891,8935,8980,
+9025,9070,9115,9160,9205,9250,9296,9341,9387,9432,9478,9523,
+9569,9615,9660,9706,9752,9798,9844,9890,9937,9983,10029,10075,
+10123,10170,10216,10263,10310,10356,10403,10450,10497,10544,10591,10638,
+10685,10732,10779,10826,10874,10921,10969,11016,11064,11111,11159,11206,
+11254,11302,11350,11398,11445,11493,11541,11589,11637,11686,11734,11782,
+11830,11879,11927,11975,12024,12072,12121,12169,12218,12267,12315,12364,
+12413,12461,12510,12559,12608,12657,12706,12755,12804,12853,12902,12951,
+13000,13050,13099,13148,13199,13248,13298,13347,13396,13446,13495,13545,
+13594,13644,13693,13743,13793,13842,13892,13942,13991,14041,14091,14141,
+14190,14240,14290,14340,14390,14440,14490,14540,14590,14640,14690,14740,
+14790,14840,14890,14940,14990,15040,15090,15140,15190,15240,15290,15341,
+15391,15441,15491,15541,15592,15642,15692,15742,15792,15843,15893,15943,
+15993,16044,16094,16144,16194,16245,16295,16345,16397,16447,16498,16548,
+16598,16648,16699,16749,16799,16849,16900,16950,17000,17050,17101,17151,
+17201,17251,17301,17352,17402,17452,17502,17552,17602,17652,17703,17753,
+17803,17853,17903,17953,18003,18053,18103,18153,18203,18253,18303,18353,
+18403,18452,18502,18552,18602,18652,18701,18751,18801,18851,18900,18950,
+19000,19049,19099,19148,19198,19247,19297,19346,19396,19445,19495,19544,
+19595,19644,19693,19742,19792,19841,19890,19939,19988,20037,20086,20135,
+20184,20233,20282,20330,20379,20428,20477,20525,20574,20622,20671,20719,
+20768,20816,20865,20913,20961,21010,21058,21106,21154,21202,21250,21298,
+21346,21394,21442,21490,21537,21585,21633,21680,21728,21775,21823,21870,
+21917,21965,22012,22059,22106,22153,22200,22247,22294,22341,22388,22435,
+22481,22528,22574,22621,22669,22715,22762,22808,22854,22900,22946,22992,
+23038,23084,23130,23176,23222,23267,23313,23358,23404,23449,23494,23540,
+23585,23630,23675,23720,23765,23810,23855,23899,23944,23988,24033,24077,
+24122,24166,24210,24254,24298,24342,24386,24430,24474,24517,24561,24605,
+24648,24691,24735,24778,24821,24864,24907,24950,24993,25035,25078,25121,
+25163,25206,25248,25290,25332,25374,25416,25458,25501,25543,25585,25626,
+25668,25709,25750,25792,25833,25874,25915,25955,25996,26037,26077,26118,
+26158,26199,26239,26279,26319,26359,26399,26438,26478,26518,26557,26596,
+26636,26675,26714,26753,26792,26831,26869,26908,26946,26985,27023,27061,
+27099,27137,27175,27213,27250,27288,27325,27363,27400,27437,27474,27511,
+27548,27585,27621,27658,27694,27731,27767,27803,27839,27875,27911,27946,
+27983,28019,28054,28089,28124,28159,28194,28229,28264,28298,28333,28367,
+28401,28435,28469,28503,28537,28571,28604,28638,28671,28704,28737,28770,
+28803,28836,28868,28901,28933,28965,28998,29030,29061,29093,29125,29156,
+29188,29219,29250,29281,29312,29343,29374,29404,29435,29465,29495,29526,
+29555,29585,29615,29645,29674,29703,29733,29762,29791,29819,29848,29877,
+29905,29934,29962,29990,30019,30046,30074,30102,30129,30156,30184,30211,
+30237,30264,30291,30317,30344,30370,30396,30422,30448,30474,30499,30525,
+30550,30575,30600,30625,30650,30675,30699,30724,30748,30772,30796,30820,
+30844,30867,30891,30914,30937,30960,30983,31006,31028,31051,31073,31095,
+31117,31139,31161,31183,31204,31226,31247,31268,31289,31310,31330,31351,
+31371,31391,31412,31431,31451,31471,31491,31510,31530,31549,31568,31587,
+31605,31624,31642,31660,31679,31697,31714,31732,31750,31767,31784,31801,
+31818,31835,31852,31868,31884,31901,31917,31933,31948,31964,31980,31995,
+32010,32025,32040,32055,32069,32084,32098,32112,32126,32140,32154,32167,
+32181,32194,32207,32220,32233,32246,32258,32271,32283,32295,32307,32319,
+32330,32342,32353,32364,32375,32386,32397,32407,32418,32428,32438,32448,
+32458,32468,32477,32487,32496,32505,32514,32523,32531,32540,32548,32556,
+32564,32572,32580,32587,32595,32602,32609,32616,32623,32629,32636,32642,
+32648,32654,32660,32666,32671,32677,32682,32687,32692,32697,32701,32706,
+32710,32714,32718,32722,32726,32729,32733,32736,32739,32742,32745,32747,
+32750,32752,32754,32756,32758,32760,32761,32763,32764,32765,32766,32767,
+32768,32768,32768,32768,32768,32768,32768,32768,32767,32766,32765,32764,
+32763,32762,32760,32758,32756,32754,32752,32750,32748,32745,32742,32739,
+32736,32733,32729,32726,32722,32718,32714,32710,32706,32701,32697,32692,
+32687,32682,32677,32671,32666,32660,32654,32648,32642,32636,32629,32623,
+32616,32609,32602,32595,32587,32580,32572,32564,32556,32548,32540,32532,
+32523,32514,32505,32496,32487,32478,32468,32459,32448,32438,32428,32418,
+32408,32397,32386,32376,32365,32353,32342,32331,32319,32307,32295,32283,
+32271,32259,32246,32233,32221,32208,32195,32181,32168,32154,32141,32127,
+32113,32099,32084,32070,32055,32040,32026,32011,31995,31980,31965,31949,
+31933,31917,31901,31885,31869,31852,31835,31819,31802,31785,31767,31750,
+31733,31715,31697,31679,31661,31643,31624,31606,31587,31568,31549,31530,
+31510,31491,31472,31452,31432,31412,31392,31372,31351,31331,31310,31289,
+31269,31247,31226,31205,31183,31162,31140,31118,31096,31074,31051,31029,
+31006,30984,30961,30938,30915,30891,30868,30844,30821,30797,30773,30749,
+30724,30700,30675,30651,30626,30601,30576,30551,30526,30500,30475,30449,
+30423,30397,30371,30345,30318,30292,30265,30238,30211,30184,30157,30130,
+30103,30075,30047,30020,29991,29963,29934,29906,29878,29849,29820,29792,
+29763,29734,29704,29675,29646,29616,29586,29556,29526,29496,29466,29436,
+29405,29375,29344,29313,29282,29251,29220,29189,29157,29126,29094,29062,
+29031,28999,28966,28934,28902,28869,28837,28804,28771,28738,28705,28672,
+28639,28605,28572,28538,28504,28470,28436,28402,28368,28334,28299,28265,
+28230,28195,28160,28125,28090,28055,28020,27984,27948,27912,27876,27840,
+27804,27768,27732,27696,27659,27623,27586,27549,27512,27475,27438,27401,
+27364,27327,27289,27252,27214,27176,27138,27100,27062,27024,26986,26947,
+26909,26870,26832,26793,26754,26715,26676,26637,26598,26558,26519,26479,
+26440,26400,26360,26320,26280,26240,26200,26160,26119,26079,26038,25997,
+25957,25916,25875,25834,25793,25752,25710,25669,25628,25586,25544,25503,
+25460,25418,25376,25334,25291,25249,25207,25164,25122,25079,25037,24994,
+24951,24908,24865,24822,24779,24736,24693,24649,24606,24562,24519,24475,
+24431,24388,24344,24300,24256,24212,24167,24123,24079,24034,23990,23945,
+23901,23856,23811,23766,23721,23676,23631,23586,23541,23496,23451,23405,
+23360,23314,23269,23223,23177,23132,23086,23040,22994,22948,22902,22856,
+22809,22763,22717,22670,22622,22576,22529,22483,22436,22389,22343,22296,
+22249,22202,22155,22108,22061,22013,21966,21919,21872,21824,21777,21729,
+21682,21634,21586,21539,21491,21443,21395,21348,21300,21252,21204,21156,
+21107,21059,21011,20963,20915,20866,20818,20769,20721,20673,20624,20575,
+20527,20478,20429,20381,20332,20283,20234,20185,20137,20088,20039,19990,
+19941,19891,19842,19793,19744,19695,19646,19596,19545,19496,19447,19397,
+19348,19298,19249,19199,19150,19100,19051,19001,18952,18902,18852,18803,
+18753,18703,18653,18603,18554,18504,18454,18404,18354,18304,18254,18204,
+18154,18104,18054,18004,17954,17904,17854,17804,17754,17704,17654,17604,
+17554,17504,17453,17403,17353,17303,17253,17203,17152,17102,17052,17002,
+16951,16901,16851,16801,16750,16700,16650,16600,16549,16499,16449,16399,
+16347,16297,16246,16196,16146,16095,16045,15995,15945,15894,15844,15794,
+15744,15694,15643,15593,15543,15493,15443,15392,15342,15292,15242,15192,
+15142,15092,15041,14991,14941,14891,14841,14791,14741,14691,14641,14591,
+14541,14491,14441,14391,14342,14292,14242,14192,14142,14092,14043,13993,
+13943,13893,13844,13794,13745,13695,13645,13596,13546,13497,13447,13398,
+13349,13299,13250,13200,13150,13100,13051,13002,12953,12904,12855,12805,
+12756,12707,12658,12610,12561,12512,12463,12414,12365,12317,12268,12219,
+12171,12122,12074,12025,11977,11928,11880,11832,11784,11735,11687,11639,
+11591,11543,11495,11447,11399,11351,11303,11256,11208,11160,11113,11065,
+11017,10970,10923,10875,10828,10781,10733,10686,10639,10592,10545,10498,
+10451,10405,10358,10311,10264,10218,10171,10125,10077,10031,9984,9938,
+9892,9846,9800,9754,9708,9662,9616,9570,9525,9479,9433,9388,
+9343,9297,9252,9207,9162,9116,9071,9026,8982,8937,8892,8847,
+8803,8758,8714,8669,8625,8581,8537,8493,8449,8405,8361,8317,
+8273,8230,8186,8143,8099,8056,8013,7970,7926,7883,7840,7798,
+7755,7712,7670,7627,7585,7542,7500,7458,7416,7374,7332,7290,
+7247,7205,7164,7122,7081,7039,6998,6957,6916,6875,6834,6793,
+6752,6712,6671,6631,6591,6550,6510,6470,6430,6390,6350,6311,
+6271,6232,6192,6153,6114,6075,6036,5997,5958,5919,5881,5842,
+5804,5765,5727,5689,5651,5613,5575,5537,5500,5462,5425,5387,
+5350,5313,5276,5239,5202,5166,5129,5093,5056,5020,4984,4948,
+4912,4876,4840,4805,4768,4733,4698,4662,4627,4592,4557,4523,
+4488,4454,4419,4385,4351,4317,4283,4249,4215,4182,4148,4115,
+4082,4048,4015,3982,3950,3917,3884,3852,3820,3788,3755,3723,
+3692,3660,3628,3597,3565,3534,3503,3472,3441,3410,3380,3349,
+3319,3289,3259,3228,3199,3169,3139,3110,3080,3051,3022,2993,
+2964,2935,2907,2878,2850,2821,2793,2765,2736,2709,2681,2654,
+2626,2599,2572,2545,2518,2491,2465,2438,2412,2386,2360,2334,
+2308,2282,2257,2232,2206,2181,2156,2131,2107,2082,2058,2033,
+2009,1985,1961,1937,1914,1890,1867,1844,1820,1798,1775,1752,
+1729,1707,1685,1663,1641,1619,1597,1576,1554,1533,1512,1491,
+1470,1449,1428,1408,1388,1368,1347,1328,1308,1288,1269,1249,
+1230,1211,1192,1173,1154,1136,1118,1099,1081,1064,1046,1028,
+1011,993,976,959,942,926,909,893,876,860,844,828,
+813,797,782,766,751,736,722,707,692,678,664,650,
+636,622,608,595,581,568,555,542,530,517,505,492,
+480,468,456,445,433,422,410,399,388,378,367,356,
+346,336,326,316,306,296,287,278,268,259,251,242,
+233,225,217,209,201,193,186,178,171,164,157,150,
+143,137,130,124,118,112,106,101,95,90,85,80,
+75,70,65,61,57,53,49,45,41,38,35,31,
+28,26,23,20,18,16,14,12,10,8,7,5,
+4,3,2,2,1,1,1,1};
+const int32_t hann_1024    [] = {1,1,2,3,5,8,12,16,20,25,31,38,
+45,53,61,70,80,90,101,112,124,137,150,164,
+178,193,209,225,242,259,278,296,316,336,356,378,
+399,422,445,468,492,517,542,568,595,622,650,678,
+707,737,767,798,829,861,893,926,960,994,1029,1064,
+1100,1137,1174,1211,1250,1289,1328,1368,1409,1450,1491,1533,
+1576,1620,1663,1708,1753,1798,1844,1891,1939,1987,2035,2084,
+2133,2183,2233,2284,2336,2388,2440,2493,2547,2601,2655,2710,
+2767,2823,2880,2937,2995,3053,3111,3171,3230,3291,3351,3412,
+3474,3536,3599,3662,3726,3791,3855,3920,3986,4052,4118,4185,
+4252,4320,4388,4457,4526,4596,4666,4736,4808,4880,4951,5024,
+5096,5169,5243,5317,5391,5466,5541,5616,5692,5769,5846,5923,
+6002,6079,6158,6237,6316,6395,6475,6555,6636,6717,6798,6880,
+6962,7044,7127,7210,7295,7379,7463,7548,7632,7718,7803,7889,
+7975,8061,8148,8235,8323,8410,8498,8586,8676,8765,8854,8944,
+9034,9123,9214,9304,9395,9486,9577,9669,9761,9853,9945,10038,
+10132,10225,10318,10412,10506,10600,10694,10788,10883,10977,11072,11168,
+11263,11359,11454,11550,11648,11744,11841,11938,12034,12131,12229,12326,
+12423,12521,12619,12717,12815,12913,13011,13110,13210,13308,13407,13506,
+13605,13704,13803,13903,14002,14102,14201,14301,14401,14501,14600,14700,
+14802,14902,15002,15102,15203,15303,15403,15504,15604,15705,15805,15905,
+16006,16106,16207,16308,16410,16510,16611,16711,16812,16912,17013,17113,
+17214,17314,17414,17515,17615,17715,17815,17915,18017,18117,18217,18317,
+18417,18516,18616,18715,18815,18914,19014,19113,19212,19311,19410,19508,
+19609,19707,19805,19904,20002,20100,20198,20295,20393,20490,20588,20685,
+20782,20878,20975,21071,21169,21265,21361,21457,21552,21647,21743,21837,
+21932,22027,22121,22215,22309,22402,22496,22589,22683,22776,22869,22961,
+23053,23144,23236,23327,23418,23509,23599,23689,23779,23869,23958,24047,
+24137,24225,24313,24401,24489,24576,24663,24750,24836,24922,25007,25093,
+25178,25262,25347,25431,25516,25599,25682,25765,25847,25929,26010,26091,
+26172,26253,26333,26412,26492,26571,26649,26727,26806,26884,26961,27037,
+27113,27189,27265,27340,27414,27488,27562,27635,27708,27781,27853,27924,
+27996,28067,28137,28207,28277,28345,28414,28482,28550,28617,28683,28749,
+28815,28880,28945,29010,29074,29138,29201,29263,29325,29386,29447,29508,
+29568,29627,29686,29744,29802,29860,29917,29973,30030,30085,30140,30195,
+30248,30302,30354,30407,30458,30510,30560,30610,30660,30709,30758,30806,
+30854,30901,30947,30993,31038,31083,31127,31171,31214,31256,31298,31339,
+31380,31420,31460,31499,31538,31576,31613,31650,31686,31722,31757,31792,
+31826,31859,31892,31924,31955,31986,32017,32047,32076,32105,32133,32160,
+32187,32213,32239,32264,32288,32312,32336,32358,32380,32402,32423,32443,
+32463,32482,32500,32518,32535,32552,32568,32583,32598,32612,32626,32639,
+32651,32663,32674,32684,32694,32704,32712,32720,32728,32734,32741,32746,
+32751,32755,32759,32762,32765,32767,32768,32768,32768,32768,32767,32765,
+32762,32759,32755,32751,32746,32741,32735,32728,32720,32712,32704,32694,
+32684,32674,32663,32651,32639,32626,32612,32598,32583,32568,32552,32536,
+32518,32501,32482,32463,32443,32423,32402,32381,32359,32336,32313,32289,
+32264,32239,32214,32188,32161,32133,32105,32077,32047,32017,31987,31956,
+31924,31892,31859,31826,31792,31758,31723,31687,31651,31614,31577,31539,
+31500,31461,31421,31381,31340,31299,31257,31214,31171,31128,31083,31039,
+30994,30948,30901,30855,30806,30758,30710,30661,30611,30561,30510,30459,
+30408,30355,30303,30249,30195,30141,30086,30031,29974,29918,29861,29803,
+29745,29687,29628,29569,29509,29448,29387,29326,29264,29202,29139,29075,
+29011,28946,28881,28816,28751,28684,28618,28551,28483,28415,28347,28278,
+28208,28138,28068,27997,27925,27854,27782,27709,27636,27563,27489,27415,
+27341,27266,27190,27115,27038,26962,26885,26808,26729,26650,26572,26493,
+26414,26334,26254,26173,26093,26011,25930,25848,25766,25683,25600,25517,
+25432,25348,25264,25179,25094,25009,24923,24837,24751,24664,24577,24490,
+24403,24315,24227,24138,24048,23959,23870,23780,23691,23600,23510,23419,
+23328,23237,23146,23054,22962,22870,22778,22685,22590,22497,22404,22310,
+22216,22122,22028,21934,21839,21744,21649,21554,21458,21363,21267,21171,
+21073,20976,20880,20783,20686,20589,20492,20394,20297,20199,20101,20003,
+19905,19807,19709,19610,19510,19411,19312,19213,19114,19015,18916,18816,
+18717,18617,18518,18418,18318,18218,18119,18019,17917,17817,17717,17616,
+17516,17416,17315,17215,17115,17014,16914,16813,16713,16612,16512,16411,
+16309,16209,16108,16008,15907,15807,15706,15606,15505,15405,15305,15204,
+15104,15004,14904,14804,14702,14602,14502,14402,14303,14203,14103,14004,
+13904,13805,13706,13607,13508,13409,13310,13211,13111,13013,12914,12816,
+12718,12620,12522,12425,12327,12230,12133,12036,11939,11842,11746,11650,
+11552,11456,11360,11265,11169,11074,10979,10884,10790,10695,10601,10507,
+10413,10320,10227,10133,10039,9947,9854,9762,9670,9579,9488,9396,
+9306,9215,9125,9035,8945,8856,8767,8678,8588,8500,8412,8324,
+8237,8149,8063,7976,7890,7804,7719,7634,7549,7464,7380,7296,
+7212,7129,7046,6963,6881,6800,6718,6637,6557,6476,6396,6317,
+6238,6159,6081,6003,5924,5847,5770,5694,5618,5542,5467,5392,
+5318,5244,5170,5097,5025,4952,4881,4809,4737,4667,4597,4527,
+4458,4389,4321,4253,4186,4119,4053,3987,3921,3856,3792,3727,
+3663,3600,3537,3475,3413,3352,3291,3231,3172,3112,3054,2996,
+2938,2881,2824,2768,2711,2656,2602,2547,2494,2441,2388,2336,
+2285,2234,2184,2134,2084,2036,1987,1940,1892,1845,1799,1753,
+1708,1664,1620,1577,1534,1492,1450,1409,1369,1329,1289,1251,
+1212,1174,1137,1101,1065,1029,995,960,927,894,861,829,
+798,767,737,708,678,650,622,595,569,543,517,493,
+468,445,422,400,378,357,336,316,297,278,260,242,
+225,209,193,178,164,150,137,124,112,101,90,80,
+70,61,53,45,38,31,26,20,16,12,8,5,
+3,2,1,1};
+const int32_t hann_512     [] = {1,2,5,12,20,31,45,61,80,101,124,150,
+179,209,243,278,317,357,400,445,493,544,596,651,
+709,768,830,895,962,1031,1102,1176,1252,1331,1411,1494,
+1580,1667,1756,1848,1943,2039,2137,2237,2340,2445,2552,2660,
+2772,2885,3000,3117,3237,3358,3481,3606,3733,3862,3993,4125,
+4261,4397,4535,4674,4817,4960,5105,5252,5401,5551,5703,5856,
+6012,6169,6327,6486,6649,6811,6975,7140,7308,7476,7646,7816,
+7990,8163,8338,8513,8692,8870,9049,9229,9412,9595,9778,9963,
+10149,10336,10523,10711,10902,11092,11282,11474,11668,11860,12054,12248,
+12445,12640,12836,13033,13231,13429,13627,13825,14026,14225,14424,14624,
+14825,15026,15226,15427,15629,15830,16031,16232,16435,16636,16837,17038,
+17240,17441,17641,17842,18044,18243,18443,18642,18843,19041,19240,19437,
+19636,19833,20029,20225,20422,20616,20810,21004,21198,21389,21581,21771,
+21962,22150,22338,22525,22712,22897,23081,23264,23448,23629,23808,23987,
+24166,24342,24517,24691,24865,25037,25207,25376,25544,25710,25875,26038,
+26201,26361,26520,26677,26834,26988,27141,27292,27442,27589,27735,27879,
+28023,28164,28302,28439,28576,28709,28841,28970,29099,29225,29349,29471,
+29592,29710,29826,29940,30053,30162,30270,30376,30480,30582,30681,30778,
+30874,30966,31057,31145,31232,31316,31398,31477,31555,31630,31702,31772,
+31841,31906,31969,32030,32089,32145,32199,32250,32300,32346,32390,32432,
+32472,32509,32543,32575,32605,32632,32657,32679,32699,32716,32731,32743,
+32753,32761,32766,32768,32768,32766,32761,32753,32743,32731,32716,32699,
+32679,32657,32632,32605,32575,32543,32509,32472,32433,32391,32347,32300,
+32251,32199,32146,32090,32031,31970,31907,31841,31773,31703,31630,31555,
+31478,31398,31317,31233,31146,31058,30967,30874,30779,30682,30582,30481,
+30377,30271,30163,30053,29941,29827,29711,29593,29472,29350,29226,29100,
+28971,28842,28710,28577,28441,28304,28165,28024,27881,27736,27591,27443,
+27293,27142,26989,26835,26679,26521,26363,26202,26039,25876,25712,25546,
+25377,25208,25038,24867,24693,24519,24344,24167,23988,23810,23630,23449,
+23266,23083,22899,22714,22526,22340,22152,21963,21772,21582,21391,21199,
+21005,20812,20618,20423,20227,20031,19835,19638,19439,19241,19043,18844,
+18644,18445,18245,18045,17843,17643,17442,17242,17039,16838,16637,16436,
+16234,16033,15832,15631,15428,15228,15027,14827,14625,14426,14226,14027,
+13827,13628,13430,13233,13034,12838,12642,12446,12250,12056,11862,11669,
+11475,11284,11093,10903,10713,10525,10337,10151,9964,9780,9596,9414,
+9231,9050,8871,8693,8515,8339,8164,7991,7818,7647,7478,7309,
+7141,6976,6812,6650,6488,6328,6170,6014,5858,5704,5553,5403,
+5253,5106,4961,4818,4676,4536,4398,4262,4126,3994,3863,3734,
+3607,3482,3359,3238,3118,3001,2886,2773,2661,2553,2446,2341,
+2238,2138,2039,1943,1849,1757,1668,1580,1495,1412,1331,1253,
+1177,1103,1032,962,895,831,769,709,651,597,544,494,
+446,400,357,317,278,243,210,179,150,124,101,80,
+61,45,32,20,12,5,2,1};
diff --git a/apps/plugins/fft/fft.c b/apps/plugins/fft/fft.c
new file mode 100644
index 0000000000..531c9af4cb
--- /dev/null
+++ b/apps/plugins/fft/fft.c
@@ -0,0 +1,1165 @@
+/***************************************************************************
+*             __________               __   ___.
+ *   Open      \______   \ ____   ____ |  | _\_ |__   _______  ___
+ *   Source     |       _//  _ \_/ ___\|  |/ /| __ \ /  _ \  \/  /
+ *   Jukebox    |    |   (  <_> )  \___|    < | \_\ (  <_> > <  <
+ *   Firmware   |____|_  /\____/ \___  >__|_ \|___  /\____/__/\_ \
+ *                     \/            \/     \/    \/            \/
+ * $Id$
+ *
+ * Copyright (C) 2009 Delyan Kratunov
+ *
+ * This program is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version.
+ *
+ * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY OF ANY
+ * KIND, either express or implied.
+ *
+ ****************************************************************************/
+#include "plugin.h"
+#include "lib/helper.h"
+#include "lib/xlcd.h"
+#include "math.h"
+#include "thread.h"
+#ifndef HAVE_LCD_COLOR
+#include "lib/grey.h"
+#endif
+PLUGIN_HEADER
+#ifndef HAVE_LCD_COLOR
+GREY_INFO_STRUCT
+#endif
+#if CONFIG_KEYPAD == ARCHOS_AV300_PAD
+#   define FFT_PREV_GRAPH     BUTTON_LEFT
+#   define FFT_NEXT_GRAPH    BUTTON_RIGHT
+#   define FFT_ORIENTATION  BUTTON_F3
+#   define FFT_WINDOW     BUTTON_F1
+#   define FFT_SCALE       BUTTON_UP
+#   define FFT_QUIT     BUTTON_OFF
+#elif (CONFIG_KEYPAD == IRIVER_H100_PAD) || \
+      (CONFIG_KEYPAD == IRIVER_H300_PAD)
+#   define FFT_PREV_GRAPH     BUTTON_LEFT
+#   define FFT_NEXT_GRAPH    BUTTON_RIGHT
+#   define FFT_ORIENTATION  BUTTON_REC
+#   define FFT_WINDOW     BUTTON_SELECT
+#   define FFT_SCALE       BUTTON_UP
+#   define FFT_QUIT     BUTTON_OFF
+#elif (CONFIG_KEYPAD == IPOD_4G_PAD) || \
+      (CONFIG_KEYPAD == IPOD_3G_PAD) || \
+      (CONFIG_KEYPAD == IPOD_1G2G_PAD)
+#   define MINESWP_SCROLLWHEEL
+#   define FFT_PREV_GRAPH       BUTTON_LEFT
+#   define FFT_NEXT_GRAPH      BUTTON_RIGHT
+#   define FFT_ORIENTATION  (BUTTON_SELECT | BUTTON_LEFT)
+#   define FFT_WINDOW     (BUTTON_SELECT | BUTTON_RIGHT)
+#   define FFT_SCALE         BUTTON_MENU
+#   define FFT_QUIT       (BUTTON_SELECT | BUTTON_MENU)
+#elif (CONFIG_KEYPAD == IAUDIO_X5M5_PAD)
+#   define FFT_PREV_GRAPH     BUTTON_LEFT
+#   define FFT_NEXT_GRAPH    BUTTON_RIGHT
+#   define FFT_ORIENTATION  BUTTON_SELECT
+#   define FFT_WINDOW     BUTTON_PLAY
+#   define FFT_SCALE       BUTTON_UP
+#   define FFT_QUIT     BUTTON_POWER
+#elif (CONFIG_KEYPAD == GIGABEAT_PAD)
+#   define FFT_PREV_GRAPH     BUTTON_LEFT
+#   define FFT_NEXT_GRAPH    BUTTON_RIGHT
+#   define FFT_SCALE       BUTTON_UP
+#   define FFT_ORIENTATION  BUTTON_SELECT
+#   define FFT_WINDOW        BUTTON_A
+#   define FFT_QUIT     BUTTON_POWER
+#elif (CONFIG_KEYPAD == SANSA_E200_PAD)
+#   define FFT_PREV_GRAPH     BUTTON_LEFT
+#   define FFT_NEXT_GRAPH    BUTTON_RIGHT
+#   define FFT_ORIENTATION  BUTTON_SELECT
+#   define FFT_WINDOW        BUTTON_REC
+#   define FFT_SCALE       BUTTON_UP
+#   define FFT_QUIT     BUTTON_POWER
+#elif (CONFIG_KEYPAD == SANSA_FUZE_PAD)
+#   define FFT_PREV_GRAPH     BUTTON_LEFT
+#   define FFT_NEXT_GRAPH    BUTTON_RIGHT
+#   define FFT_ORIENTATION  (BUTTON_SELECT | BUTTON_LEFT)
+#   define FFT_WINDOW     (BUTTON_SELECT | BUTTON_RIGHT)
+#   define FFT_SCALE       BUTTON_UP
+#   define FFT_QUIT     BUTTON_POWER
+#elif (CONFIG_KEYPAD == SANSA_C200_PAD)
+#   define FFT_PREV_GRAPH       BUTTON_LEFT
+#   define FFT_NEXT_GRAPH      BUTTON_RIGHT
+#   define FFT_ORIENTATION  BUTTON_UP
+#   define FFT_WINDOW        BUTTON_REC
+#   define FFT_SCALE         BUTTON_SELECT
+#   define FFT_QUIT       BUTTON_POWER
+#elif (CONFIG_KEYPAD == SANSA_M200_PAD)
+#   define FFT_PREV_GRAPH       BUTTON_LEFT
+#   define FFT_NEXT_GRAPH      BUTTON_RIGHT
+#   define FFT_ORIENTATION  BUTTON_UP
+#   define FFT_WINDOW        BUTTON_DOWN
+#   define FFT_SCALE         BUTTON_SELECT
+#   define FFT_QUIT       BUTTON_POWER
+#elif (CONFIG_KEYPAD == SANSA_CLIP_PAD)
+#   define FFT_PREV_GRAPH       BUTTON_LEFT
+#   define FFT_NEXT_GRAPH      BUTTON_RIGHT
+#   define FFT_ORIENTATION  BUTTON_UP
+#   define FFT_WINDOW        BUTTON_HOME
+#   define FFT_SCALE         BUTTON_SELECT
+#   define FFT_QUIT       BUTTON_POWER
+#elif (CONFIG_KEYPAD == IRIVER_H10_PAD)
+#   define FFT_PREV_GRAPH       BUTTON_LEFT
+#   define FFT_NEXT_GRAPH       BUTTON_RIGHT
+#   define FFT_ORIENTATION      BUTTON_FF
+#   define FFT_WINDOW       BUTTON_SCROLL_UP
+#   define FFT_SCALE            BUTTON_REW
+#   define FFT_QUIT             BUTTON_POWER
+#elif (CONFIG_KEYPAD == GIGABEAT_S_PAD)
+#   define FFT_PREV_GRAPH       BUTTON_LEFT
+#   define FFT_NEXT_GRAPH       BUTTON_RIGHT
+#   define FFT_ORIENTATION      BUTTON_MENU
+#   define FFT_WINDOW     BUTTON_PREV
+#   define FFT_SCALE            BUTTON_UP
+#   define FFT_QUIT             BUTTON_BACK
+#elif (CONFIG_KEYPAD == MROBE100_PAD)
+#   define FFT_PREV_GRAPH       BUTTON_LEFT
+#   define FFT_NEXT_GRAPH       BUTTON_RIGHT
+#   define FFT_ORIENTATION      BUTTON_PLAY
+#   define FFT_WINDOW     BUTTON_SELECT
+#   define FFT_SCALE            BUTTON_UP
+#   define FFT_QUIT             BUTTON_POWER
+#elif CONFIG_KEYPAD == IAUDIO_M3_PAD
+#   define FFT_PREV_GRAPH       BUTTON_RC_REW
+#   define FFT_NEXT_GRAPH       BUTTON_RC_FF
+#   define FFT_ORIENTATION      BUTTON_RC_MODE
+#   define FFT_WINDOW        BUTTON_RC_PLAY
+#   define FFT_SCALE            BUTTON_RC_VOL_UP
+#   define FFT_QUIT             BUTTON_RC_REC
+#elif (CONFIG_KEYPAD == COWON_D2_PAD)
+#   define FFT_QUIT             BUTTON_POWER
+#   define FFT_PREV_GRAPH       BUTTON_PLUS
+#   define FFT_NEXT_GRAPH       BUTTON_MINUS
+#elif CONFIG_KEYPAD == CREATIVEZVM_PAD
+#   define FFT_PREV_GRAPH       BUTTON_LEFT
+#   define FFT_NEXT_GRAPH       BUTTON_RIGHT
+#   define FFT_ORIENTATION      BUTTON_MENU
+#   define FFT_WINDOW     BUTTON_SELECT
+#   define FFT_SCALE            BUTTON_UP
+#   define FFT_QUIT             BUTTON_BACK
+#elif CONFIG_KEYPAD == PHILIPS_HDD1630_PAD
+#   define FFT_PREV_GRAPH       BUTTON_LEFT
+#   define FFT_NEXT_GRAPH       BUTTON_RIGHT
+#   define FFT_ORIENTATION      BUTTON_SELECT
+#   define FFT_WINDOW     BUTTON_MENU
+#   define FFT_SCALE            BUTTON_UP
+#   define FFT_QUIT             BUTTON_POWER
+#elif (CONFIG_KEYPAD == SAMSUNG_YH_PAD)
+#   define FFT_PREV_GRAPH       BUTTON_LEFT
+#   define FFT_NEXT_GRAPH      BUTTON_RIGHT
+#   define FFT_ORIENTATION  BUTTON_UP
+#   define FFT_WINDOW        BUTTON_DOWN
+#   define FFT_SCALE         BUTTON_FFWD
+#   define FFT_QUIT       BUTTON_PLAY
+#else
+#error No keymap defined!
+#endif
+#ifdef HAVE_LCD_COLOR
+#include "pluginbitmaps/fft_colors.h"
+#endif
+#include "kiss_fftr.h"
+#include "_kiss_fft_guts.h" /* sizeof(struct kiss_fft_state) */
+#include "const.h"
+#define FFT_SIZE 2048
+#define ARRAYSIZE_IN (FFT_SIZE)
+#define ARRAYSIZE_OUT (FFT_SIZE/2)
+#define ARRAYSIZE_PLOT (FFT_SIZE/4)
+#define BUFSIZE_FFT (sizeof(struct kiss_fft_state)+sizeof(kiss_fft_cpx)*(FFT_SIZE-1))
+#define BUFSIZE_FFTR (BUFSIZE_FFT+sizeof(struct kiss_fftr_state)+sizeof(kiss_fft_cpx)*(FFT_SIZE*3/2))
+#define BUFSIZE BUFSIZE_FFTR
+#define FFT_ALLOC kiss_fftr_alloc
+#define FFT_FFT   kiss_fftr
+#define FFT_CFG   kiss_fftr_cfg
+#define __COEFF(type,size) type##_##size
+#define _COEFF(x, y) __COEFF(x,y) /* force the preprocessor to evaluate FFT_SIZE) */
+#define HANN_COEFF _COEFF(hann, FFT_SIZE)
+#define HAMMING_COEFF _COEFF(hamming, FFT_SIZE)
+/****************************** Globals ****************************/
+static kiss_fft_scalar input[ARRAYSIZE_IN];
+static kiss_fft_cpx output[ARRAYSIZE_OUT];
+static int32_t plot[ARRAYSIZE_PLOT];
+static char buffer[BUFSIZE];
+#if LCD_DEPTH > 1 /* greyscale or color, enable spectrogram */
+#define MODES_COUNT 3
+#else
+#define MODES_COUNT 2
+#endif
+const unsigned char* modes_text[] = { "Lines", "Bars", "Spectrogram" };
+const unsigned char* scales_text[] = { "Linear scale", "Logarithmic scale" };
+const unsigned char* window_text[] = { "Hamming window", "Hann window" };
+struct mutex input_mutex;
+bool input_thread_run = true;
+bool input_thread_has_data = false;
+struct {
+    int32_t mode;
+    bool logarithmic;
+    bool orientation_vertical;
+    int window_func;
+    struct {
+        int column;
+        int row;
+    } spectrogram;
+    struct {
+        bool orientation;
+        bool mode;
+        bool scale;
+    } changed;
+} graph_settings;
+#define COLORS BMPWIDTH_fft_colors
+/************************* End of globals *************************/
+/************************* Math functions *************************/
+#define QLOG_MAX 286286
+#define QLIN_MAX 1534588906
+#define QLN_10 float_q16(2.302585093)
+#define LIN_MAX (QLIN_MAX >> 16)
+/* Returns logarithmically scaled values in S15.16 format */
+inline int32_t get_log_value(int32_t value)
+{
+    return Q16_DIV(fp16_log(value), QLN_10);
+}
+/* Apply window function to input
+ * 0 - Hamming window
+ * 1 - Hann window */
+#define WINDOW_COUNT 2
+void apply_window_func(char mode)
+{
+    switch(mode)
+    {
+        case 0: /* Hamming window */
+        {
+            size_t i;
+            for (i = 0; i < ARRAYSIZE_IN; ++i)
+            {
+                input[i] = Q15_MUL(input[i] << 15, HAMMING_COEFF[i]) >> 15;
+            } 
+            break;
+        }
+        case 1: /* Hann window */
+        {
+            size_t i;
+            for (i = 0; i < ARRAYSIZE_IN; ++i)
+            {
+                input[i] = Q15_MUL(input[i] << 15, HANN_COEFF[i]) >> 15;
+            }
+            break;
+        }
+    }
+}
+/* Calculates the magnitudes from complex numbers and returns the maximum */
+int32_t calc_magnitudes(bool logarithmic)
+{
+    int64_t tmp;
+    size_t i;
+    int32_t max = -2147483647;
+    
+    /* Calculate the magnitude, discarding the phase.
+     * The sum of the squares can easily overflow the 15-bit (s15.16)
+     * requirement for fsqrt, so we scale the data down */
+    for (i = 0; i < ARRAYSIZE_PLOT; ++i)
+    {
+        tmp = output[i].r * output[i].r + output[i].i * output[i].i;
+        tmp <<= 16;
+        tmp = fsqrt64(tmp, 16);
+        if (logarithmic)
+            tmp = get_log_value(tmp & 0x7FFFFFFF);
+        plot[i] = tmp;
+        if (plot[i] > max)
+            max = plot[i];
+    }
+    return max;
+}
+/************************ End of math functions ***********************/
+/********************* Plotting functions (modes) *********************/
+void draw_lines_vertical(void);
+void draw_lines_horizontal(void);
+void draw_bars_vertical(void);
+void draw_bars_horizontal(void);
+void draw_spectrogram_vertical(void);
+void draw_spectrogram_horizontal(void);
+void draw(const unsigned char* message)
+{
+    static uint32_t show_message = 0;
+    static unsigned char* last_message = 0;
+    static char last_mode = 0;
+    static bool last_orientation = true, last_scale = true;
+    if (message != 0)
+    {
+        last_message = (unsigned char*) message;
+        show_message = 5;
+    }
+    if(last_mode != graph_settings.mode)
+    {
+        last_mode = graph_settings.mode;
+        graph_settings.changed.mode = true;
+    }
+    if(last_scale != graph_settings.logarithmic)
+    {
+        last_scale = graph_settings.logarithmic;
+        graph_settings.changed.scale = true;
+    }
+    if(last_orientation != graph_settings.orientation_vertical)
+    {
+        last_orientation = graph_settings.orientation_vertical;
+        graph_settings.changed.orientation = true;
+    }
+#ifdef HAVE_LCD_COLOR
+    rb->lcd_set_foreground(LCD_DEFAULT_FG);
+    rb->lcd_set_background(LCD_DEFAULT_BG);
+#else
+    grey_set_foreground(GREY_BLACK);
+    grey_set_background(GREY_WHITE);
+#endif
+    switch (graph_settings.mode)
+    {
+        default:
+        case 0: {
+#ifdef HAVE_LCD_COLOR
+            rb->lcd_clear_display();
+#else
+            grey_clear_display();
+#endif
+            if (graph_settings.orientation_vertical)
+                draw_lines_vertical();
+            else
+                draw_lines_horizontal();
+            break;
+        }
+        case 1: {
+#ifdef HAVE_LCD_COLOR
+            rb->lcd_clear_display();
+#else
+            grey_clear_display();
+#endif
+            if(graph_settings.orientation_vertical)
+                draw_bars_vertical();
+            else
+                draw_bars_horizontal();
+            break;
+        }
+        case 2: {
+            if(graph_settings.orientation_vertical)
+                draw_spectrogram_vertical();
+            else
+                draw_spectrogram_horizontal();
+            break;
+        }
+    }
+    if (show_message > 0)
+    {
+                /* We have a message to show */
+        int x, y;
+#ifdef HAVE_LCD_COLOR
+        rb->lcd_getstringsize(last_message, &x, &y);
+#else
+        grey_getstringsize(last_message, &x, &y);
+#endif
+                /* x and y give the size of the box for the popup */
+        x += 6; /* 3 px of horizontal padding and */
+        y += 4; /* 2 px of vertical padding */
+        /* In vertical spectrogram mode, leave space for the popup
+                 * before actually drawing it (if space is needed) */
+        if(graph_settings.mode == 2 &&
+                   graph_settings.orientation_vertical &&
+           graph_settings.spectrogram.column > LCD_WIDTH-x-2) 
+                {
+#ifdef HAVE_LCD_COLOR
+                        xlcd_scroll_left(graph_settings.spectrogram.column -
+                                                         (LCD_WIDTH - x - 1));
+#else
+                        grey_scroll_left(graph_settings.spectrogram.column -
+                                                         (LCD_WIDTH - x - 1));
+#endif
+                        graph_settings.spectrogram.column = LCD_WIDTH - x - 2;
+                }
+#ifdef HAVE_LCD_COLOR
+        rb->lcd_set_foreground(LCD_DARKGRAY);
+        rb->lcd_fillrect(LCD_WIDTH-1-x, 0, LCD_WIDTH-1, y);
+        rb->lcd_set_foreground(LCD_DEFAULT_FG);
+        rb->lcd_set_background(LCD_DARKGRAY);
+        rb->lcd_putsxy(LCD_WIDTH-1-x+3, 2, last_message);
+        rb->lcd_set_background(LCD_DEFAULT_BG);
+#else
+        grey_set_foreground(GREY_LIGHTGRAY);
+        grey_fillrect(LCD_WIDTH-1-x, 0, LCD_WIDTH-1, y);
+        grey_set_foreground(GREY_BLACK);
+        grey_set_background(GREY_LIGHTGRAY);
+        grey_putsxy(LCD_WIDTH-1-x+3, 2, last_message);
+        grey_set_background(GREY_WHITE);
+#endif
+        show_message--;
+    }
+    else if(last_message != 0)
+    {
+                if(graph_settings.mode != 2)
+                {
+                        /* These modes clear the screen themselves */
+                        last_message = 0;
+                }
+                else /* Spectrogram mode - need to erase the popup */
+                {
+                        int x, y;
+#ifdef HAVE_LCD_COLOR
+                        rb->lcd_getstringsize(last_message, &x, &y);
+#else
+                        grey_getstringsize(last_message, &x, &y);
+#endif
+                        /* Recalculate the size */
+                        x += 6; /* 3 px of horizontal padding and */
+                        y += 4; /* 2 px of vertical padding */
+                        if(!graph_settings.orientation_vertical)
+                        {
+                                /* In horizontal spectrogram mode, just scroll up by Y lines */
+#ifdef HAVE_LCD_COLOR
+                                xlcd_scroll_up(y);
+#else
+                                grey_scroll_up(y);
+#endif
+                                graph_settings.spectrogram.row -= y;
+                                if(graph_settings.spectrogram.row < 0)
+                                        graph_settings.spectrogram.row = 0;
+                        }
+                        else
+                        {
+                                /* In vertical spectrogram mode, erase the popup */
+#ifdef HAVE_LCD_COLOR
+                                rb->lcd_set_foreground(LCD_DEFAULT_BG);
+                                rb->lcd_fillrect(LCD_WIDTH-2-x, 0, LCD_WIDTH-1, y);
+                                rb->lcd_set_foreground(LCD_DEFAULT_FG);
+#else
+                                grey_set_foreground(GREY_WHITE);
+                                grey_fillrect(LCD_WIDTH-2-x, 0, LCD_WIDTH-1, y);
+                                grey_set_foreground(GREY_BLACK);
+#endif
+                        }
+                        
+                        last_message = 0;
+                }
+    }
+#ifdef HAVE_LCD_COLOR
+    rb->lcd_update();
+#else
+    grey_update();
+#endif
+    graph_settings.changed.mode =  false;
+    graph_settings.changed.orientation = false;
+    graph_settings.changed.scale = false;
+}
+void draw_lines_vertical(void)
+{
+    static int32_t max = 0, vfactor = 0, vfactor_count = 0;
+    static const int32_t hfactor =
+            Q16_DIV(LCD_WIDTH << 16, (ARRAYSIZE_PLOT) << 16),
+            bins_per_pixel = (ARRAYSIZE_PLOT) / LCD_WIDTH;
+    static bool old_scale = true;
+    if (old_scale != graph_settings.logarithmic)
+        old_scale = graph_settings.logarithmic, max = 0; /* reset the graph on scaling mode change */
+    int32_t new_max = calc_magnitudes(graph_settings.logarithmic);
+    if (new_max > max)
+    {
+        max = new_max;
+        vfactor = Q16_DIV(LCD_HEIGHT << 16, max); /* s15.16 */
+        vfactor_count = Q16_DIV(vfactor, bins_per_pixel << 16); /* s15.16 */
+    }
+    if (new_max == 0 || max == 0) /* nothing to draw */
+        return;
+    /* take the average of neighboring bins
+     * if we have to scale the graph horizontally */
+    int64_t bins_avg = 0;
+    bool draw = true;
+    int32_t i;
+    for (i = 0; i < ARRAYSIZE_PLOT; ++i)
+    {
+        int32_t x = 0, y = 0;
+        x = Q16_MUL(hfactor, i << 16) >> 16;
+        //x = (x + (1 << 15)) >> 16;
+        if (hfactor < 65536) /* hfactor < 0, graph compression */
+        {
+            draw = false;
+            bins_avg += plot[i];
+            /* fix the division by zero warning:
+             * bins_per_pixel is zero when the graph is expanding;
+             * execution won't even reach this point - this is a dummy constant
+             */
+            const int32_t div = bins_per_pixel > 0 ? bins_per_pixel : 1;
+            if ((i + 1) % div == 0)
+            {
+                y = Q16_MUL(vfactor_count, bins_avg) >> 16;
+                bins_avg = 0;
+                draw = true;
+            }
+        }
+        else
+        {
+            y = Q16_MUL(vfactor, plot[i]) >> 16;
+            draw = true;
+        }
+        if (draw)
+        {
+#ifdef HAVE_LCD_COLOR
+                        rb->lcd_vline(x, LCD_HEIGHT-1, LCD_HEIGHT-y-1);
+#else
+                        grey_vline(x, LCD_HEIGHT-1, LCD_HEIGHT-y-1);
+#endif
+        }
+    }
+}
+void draw_lines_horizontal(void)
+{
+    static int max = 0;
+    static const int32_t vfactor =
+            Q16_DIV(LCD_HEIGHT << 16, (ARRAYSIZE_PLOT) << 16),
+            bins_per_pixel = (ARRAYSIZE_PLOT) / LCD_HEIGHT;
+    if (graph_settings.changed.scale)
+        max = 0; /* reset the graph on scaling mode change */
+    int32_t new_max = calc_magnitudes(graph_settings.logarithmic);
+    if (new_max > max)
+        max = new_max;
+    if (new_max == 0 || max == 0) /* nothing to draw */
+        return;
+    int32_t hfactor;
+    hfactor = Q16_DIV((LCD_WIDTH - 1) << 16, max); /* s15.16 */
+    /* take the average of neighboring bins
+     * if we have to scale the graph horizontally */
+    int64_t bins_avg = 0;
+    bool draw = true;
+    int32_t i;
+    for (i = 0; i < ARRAYSIZE_PLOT; ++i)
+    {
+        int32_t x = 0, y = 0;
+        y = Q16_MUL(vfactor, i << 16) + (1 << 15);
+        y >>= 16;
+        if (vfactor < 65536) /* vfactor < 0, graph compression */
+        {
+            draw = false;
+            bins_avg += plot[i];
+            /* fix the division by zero warning:
+             * bins_per_pixel is zero when the graph is expanding;
+             * execution won't even reach this point - this is a dummy constant
+             */
+            const int32_t div = bins_per_pixel > 0 ? bins_per_pixel : 1;
+            if ((i + 1) % div == 0)
+            {
+                bins_avg = Q16_DIV(bins_avg, div << 16);
+                x = Q16_MUL(hfactor, bins_avg) >> 16;
+                bins_avg = 0;
+                draw = true;
+            }
+        }
+        else
+        {
+            y = Q16_MUL(hfactor, plot[i]) >> 16;
+            draw = true;
+        }
+        if (draw)
+        {
+#ifdef HAVE_LCD_COLOR
+                        rb->lcd_hline(0, x, y);
+#else
+                        grey_hline(0, x, y);
+#endif
+        }
+    }
+}
+void draw_bars_vertical(void)
+{
+    static const unsigned int bars = 20, border = 2, items = ARRAYSIZE_PLOT
+            / bars, width = (LCD_WIDTH - ((bars - 1) * border)) / bars;
+    calc_magnitudes(graph_settings.logarithmic);
+    uint64_t bars_values[bars], bars_max = 0, avg = 0;
+    unsigned int i, bars_idx = 0;
+    for (i = 0; i < ARRAYSIZE_PLOT; ++i)
+    {
+        avg += plot[i];
+        if ((i + 1) % items == 0)
+        {
+            /* Calculate the average value and keep the fractional part
+             * for some added precision */
+            avg = Q16_DIV(avg, items << 16);
+            bars_values[bars_idx] = avg;
+            if (bars_values[bars_idx] > bars_max)
+                bars_max = bars_values[bars_idx];
+            bars_idx++;
+            avg = 0;
+        }
+    }
+    if(bars_max == 0) /* nothing to draw */
+        return;
+    /* Give the graph some headroom */
+    bars_max = Q16_MUL(bars_max, float_q16(1.1));
+    uint64_t vfactor = Q16_DIV(LCD_HEIGHT << 16, bars_max);
+    for (i = 0; i < bars; ++i)
+    {
+        int x = (i) * (border + width);
+        int y;
+        y = Q16_MUL(vfactor, bars_values[i]) + (1 << 15);
+        y >>= 16;
+#ifdef HAVE_LCD_COLOR
+        rb->lcd_fillrect(x, LCD_HEIGHT - y - 1, width, y);
+#else
+        grey_fillrect(x, LCD_HEIGHT - y - 1, width, y);
+#endif
+    }
+}
+void draw_bars_horizontal(void)
+{
+    static const unsigned int bars = 14, border = 3, items = ARRAYSIZE_PLOT
+            / bars, height = (LCD_HEIGHT - ((bars - 1) * border)) / bars;
+    calc_magnitudes(graph_settings.logarithmic);
+    int64_t bars_values[bars], bars_max = 0, avg = 0;
+    unsigned int i, bars_idx = 0;
+    for (i = 0; i < ARRAYSIZE_PLOT; ++i)
+    {
+        avg += plot[i];
+        if ((i + 1) % items == 0)
+        {
+            /* Calculate the average value and keep the fractional part
+             * for some added precision */
+            avg = Q16_DIV(avg, items << 16); /* s15.16 */
+            bars_values[bars_idx] = avg;
+            if (bars_values[bars_idx] > bars_max)
+                bars_max = bars_values[bars_idx];
+            bars_idx++;
+            avg = 0;
+        }
+    }
+    if(bars_max == 0) /* nothing to draw */
+        return;
+    /* Give the graph some headroom */
+    bars_max = Q16_MUL(bars_max, float_q16(1.1));
+    int64_t hfactor = Q16_DIV(LCD_WIDTH << 16, bars_max);
+    for (i = 0; i < bars; ++i)
+    {
+        int y = (i) * (border + height);
+        int x;
+        x = Q16_MUL(hfactor, bars_values[i]) + (1 << 15);
+        x >>= 16;
+#ifdef HAVE_LCD_COLOR
+        rb->lcd_fillrect(0, y, x, height);
+#else
+        grey_fillrect(0, y, x, height);
+#endif
+    }
+}
+void draw_spectrogram_vertical(void)
+{
+    const int32_t scale_factor = ARRAYSIZE_PLOT / LCD_HEIGHT
+#ifdef HAVE_LCD_COLOR
+        ,colors_per_val_log = Q16_DIV((COLORS-1) << 16, QLOG_MAX),
+        colors_per_val_lin = Q16_DIV((COLORS-1) << 16, QLIN_MAX)
+#else
+                ,grey_vals_per_val_log = Q16_DIV(255 << 16, QLOG_MAX),
+                grey_vals_per_val_lin = Q16_DIV(255 << 16, QLIN_MAX)
+#endif
+                ;
+    const int32_t remaining_div =
+        (ARRAYSIZE_PLOT-scale_factor*LCD_HEIGHT) > 0 ?
+        ( Q16_DIV((scale_factor*LCD_HEIGHT) << 16,
+                  (ARRAYSIZE_PLOT-scale_factor*LCD_HEIGHT) << 16)
+         + (1<<15) ) >> 16 : 0;
+    calc_magnitudes(graph_settings.logarithmic);
+    if(graph_settings.changed.mode || graph_settings.changed.orientation)
+    {
+        graph_settings.spectrogram.column = 0;
+#ifdef HAVE_LCD_COLOR
+        rb->lcd_clear_display();
+#else
+        grey_clear_display();
+#endif
+    }
+    int i, y = LCD_HEIGHT-1, count = 0, rem_count = 0;
+    uint64_t avg = 0;
+    bool added_extra_value = false;
+    for(i = 0; i < ARRAYSIZE_PLOT; ++i)
+    {
+        if(plot[i] > 0)
+            avg += plot[i];
+        ++count;
+        ++rem_count;
+        /* Kinda hacky - due to the rounding in scale_factor, we try to
+         * uniformly interweave the extra values in our calculations */
+        if(remaining_div > 0 && rem_count >= remaining_div &&
+                i < (ARRAYSIZE_PLOT-1))
+        {
+            ++i;
+            if(plot[i] > 0)
+                avg += plot[i];
+            rem_count = 0;
+            added_extra_value = true;
+        }
+        if(count >= scale_factor)
+        {
+            if(added_extra_value)
+                { ++count; added_extra_value = false; }
+            int32_t color;
+            avg = Q16_DIV(avg, count << 16);
+#ifdef HAVE_LCD_COLOR
+            if(graph_settings.logarithmic)
+                color = Q16_MUL(avg, colors_per_val_log) >> 16;
+            else
+                color = Q16_MUL(avg, colors_per_val_lin) >> 16;
+            if(color >= COLORS) /* TODO These happen because we don't normalize the values to be above 1 and log() returns negative numbers. I think. */
+                color = COLORS-1;
+            else if (color < 0)
+                color = 0;
+#else
+                        if(graph_settings.logarithmic)
+                                color = Q16_MUL(avg, grey_vals_per_val_log) >> 16;
+                        else
+                                color = Q16_MUL(avg, grey_vals_per_val_lin) >> 16;
+            if(color > 255) 
+                color = 255;
+            else if (color < 0)
+                color = 0;
+#endif
+#ifdef HAVE_LCD_COLOR
+            rb->lcd_set_foreground(fft_colors[color]);
+            rb->lcd_drawpixel(graph_settings.spectrogram.column, y);
+#else
+            grey_set_foreground(255 - color);
+            grey_drawpixel(graph_settings.spectrogram.column, y);
+#endif
+            y--;
+            avg = 0;
+            count = 0;
+        }
+        if(y < 0)
+            break;
+    }
+    if(graph_settings.spectrogram.column != LCD_WIDTH-1)
+        graph_settings.spectrogram.column++;
+    else
+#ifdef HAVE_LCD_COLOR
+        xlcd_scroll_left(1);
+#else
+        grey_scroll_left(1);
+#endif
+}
+void draw_spectrogram_horizontal(void)
+{
+    const int32_t scale_factor = ARRAYSIZE_PLOT / LCD_WIDTH
+#ifdef HAVE_LCD_COLOR
+        ,colors_per_val_log = Q16_DIV((COLORS-1) << 16, QLOG_MAX),
+        colors_per_val_lin = Q16_DIV((COLORS-1) << 16, QLIN_MAX)
+#else
+                ,grey_vals_per_val_log = Q16_DIV(255 << 16, QLOG_MAX),
+                grey_vals_per_val_lin = Q16_DIV(255 << 16, QLIN_MAX)
+#endif
+                ;
+    const int32_t remaining_div =
+            (ARRAYSIZE_PLOT-scale_factor*LCD_WIDTH) > 0 ?
+            ( Q16_DIV((scale_factor*LCD_WIDTH) << 16,
+                      (ARRAYSIZE_PLOT-scale_factor*LCD_WIDTH) << 16)
+             + (1<<15) ) >> 16 : 0;
+    calc_magnitudes(graph_settings.logarithmic);
+    if(graph_settings.changed.mode || graph_settings.changed.orientation)
+    {
+        graph_settings.spectrogram.row = 0;
+#ifdef HAVE_LCD_COLOR
+        rb->lcd_clear_display();
+#else
+        grey_clear_display();
+#endif
+    }
+    int i, x = 0, count = 0, rem_count = 0;
+    uint64_t avg = 0;
+    bool added_extra_value = false;
+    for(i = 0; i < ARRAYSIZE_PLOT; ++i)
+    {
+        if(plot[i] > 0)
+            avg += plot[i];
+        ++count;
+        ++rem_count;
+        /* Kinda hacky - due to the rounding in scale_factor, we try to
+         * uniformly interweave the extra values in our calculations */
+        if(remaining_div > 0 && rem_count >= remaining_div &&
+                i < (ARRAYSIZE_PLOT-1))
+        {
+            ++i;
+            if(plot[i] > 0)
+                avg += plot[i];
+            rem_count = 0;
+            added_extra_value = true;
+        }
+        if(count >= scale_factor)
+        {
+            if(added_extra_value)
+                { ++count; added_extra_value = false; }
+            int32_t color;
+            avg = Q16_DIV(avg, count << 16);
+#ifdef HAVE_LCD_COLOR
+            if(graph_settings.logarithmic)
+                color = Q16_MUL(avg, colors_per_val_log) >> 16;
+            else
+                color = Q16_MUL(avg, colors_per_val_lin) >> 16;
+            if(color >= COLORS) /* TODO same as _vertical */
+                color = COLORS-1;
+            else if (color < 0)
+                color = 0;
+#else
+                        if(graph_settings.logarithmic)
+                                color = Q16_MUL(avg, grey_vals_per_val_log) >> 16;
+                        else
+                                color = Q16_MUL(avg, grey_vals_per_val_lin) >> 16;
+            if(color > 255) 
+                                color = 255;
+            else if (color < 0)
+                color = 0;
+#endif
+#ifdef HAVE_LCD_COLOR
+            rb->lcd_set_foreground(fft_colors[color]);
+            rb->lcd_drawpixel(x, graph_settings.spectrogram.row);
+#else
+            grey_set_foreground(255 - color);
+            grey_drawpixel(x, graph_settings.spectrogram.row);
+#endif
+            x++;
+            avg = 0;
+            count = 0;
+        }
+        if(x >= LCD_WIDTH)
+            break;
+    }
+    if(graph_settings.spectrogram.row != LCD_HEIGHT-1)
+        graph_settings.spectrogram.row++;
+    else
+#ifdef HAVE_LCD_COLOR
+        xlcd_scroll_up(1);
+#else
+        grey_scroll_up(1);
+#endif
+}
+/********************* End of plotting functions (modes) *********************/
+static long thread_stack[DEFAULT_STACK_SIZE/sizeof(long)];
+void input_thread_entry(void)
+{
+        kiss_fft_scalar * value;
+        kiss_fft_scalar left;
+        int count;
+        int idx = 0; /* offset in the buffer */
+        int fft_idx = 0; /* offset in input */
+        while(true)
+        {
+                rb->mutex_lock(&input_mutex);
+                if(!input_thread_run)
+                        rb->thread_exit();
+                value = (kiss_fft_scalar*) rb->pcm_get_peak_buffer(&count);
+                
+                if (value == 0 || count == 0)
+                {
+                        rb->mutex_unlock(&input_mutex);
+                        rb->yield();
+                        continue;
+                        /* This block can introduce discontinuities in our data. Meaning, the FFT
+                         * will not be done a continuous segment of the signal. Which can be bad. Or not.
+                         * 
+                         * Anyway, this is a demo, not a scientific tool. If you want accuracy, do a proper
+                         * spectrum analysis.*/
+                }
+                else
+                {
+                        idx = fft_idx = 0;
+                        do
+                        {
+                                left = *(value + idx);
+                                idx += 2;
+                                input[fft_idx] = left;
+                                fft_idx++;
+                                if (fft_idx == ARRAYSIZE_IN)
+                                        break;
+                        } while (idx < count);
+                }
+                if(fft_idx == ARRAYSIZE_IN) /* there are cases when we don't have enough data to fill the buffer */
+                    input_thread_has_data = true;       
+                
+                rb->mutex_unlock(&input_mutex);
+                rb->yield();
+        }
+}
+enum plugin_status plugin_start(const void* parameter)
+{
+    (void) parameter;
+    if ((rb->audio_status() & AUDIO_STATUS_PLAY) == 0)
+    {
+        rb->splash(HZ * 2, "No track playing. Exiting..");
+        return PLUGIN_OK;
+    }
+#ifndef HAVE_LCD_COLOR
+    unsigned char *gbuf;
+    size_t  gbuf_size = 0;
+    /* get the remainder of the plugin buffer */
+    gbuf = (unsigned char *) rb->plugin_get_buffer(&gbuf_size);
+    /* initialize the greyscale buffer.*/
+    if (!grey_init(gbuf, gbuf_size, GREY_ON_COP | GREY_BUFFERED,
+                   LCD_WIDTH, LCD_HEIGHT, NULL))
+    {
+        rb->splash(HZ, "Couldn't init greyscale display");
+        return PLUGIN_ERROR;
+    }
+    grey_show(true); 
+#endif
+#if LCD_DEPTH > 1
+    rb->lcd_set_backdrop(NULL);
+#endif
+    backlight_force_on();
+#ifdef HAVE_ADJUSTABLE_CPU_FREQ
+    rb->cpu_boost(true);
+#endif
+    /* Defaults */
+    bool run = true;
+    graph_settings.mode = 0;
+    graph_settings.logarithmic = true;
+    graph_settings.orientation_vertical = true;
+    graph_settings.window_func = 0;
+    graph_settings.changed.mode = false;
+    graph_settings.changed.scale = false;
+    graph_settings.changed.orientation = false;
+    graph_settings.spectrogram.row = 0;
+    graph_settings.spectrogram.column = 0;
+    bool changed_window = false;
+    size_t size = sizeof(buffer);
+    FFT_CFG state = FFT_ALLOC(FFT_SIZE, 0, buffer, &size);
+    if (state == 0)
+    {
+        DEBUGF("needed data: %i", (int) size);
+        return PLUGIN_ERROR;
+    }
+        
+        unsigned int input_thread = rb->create_thread(&input_thread_entry, thread_stack, sizeof(thread_stack), 0, "fft input thread" IF_PRIO(, PRIORITY_BACKGROUND) IF_COP(, CPU));
+        rb->yield();
+    while (run)
+    {
+                rb->mutex_lock(&input_mutex);
+                if(!input_thread_has_data)
+                {
+                        /* Make sure the input thread has started before doing anything else */
+                        rb->mutex_unlock(&input_mutex);
+                        rb->yield();
+                        continue;
+                }
+                apply_window_func(graph_settings.window_func);
+                FFT_FFT(state, input, output);
+                if(changed_window)
+                {
+                        draw(window_text[graph_settings.window_func]);
+                        changed_window = false;
+                }
+                else
+                        draw(0);
+                input_thread_has_data = false;
+        rb->mutex_unlock(&input_mutex);
+                rb->yield();
+                int button = rb->button_get(false);
+        switch (button)
+        {
+            case FFT_QUIT:
+                run = false;
+                break;
+            case FFT_PREV_GRAPH: {
+                graph_settings.mode--;
+                if (graph_settings.mode < 0)
+                    graph_settings.mode = MODES_COUNT-1;
+                draw(modes_text[graph_settings.mode]);
+                break;
+            }
+            case FFT_NEXT_GRAPH: {
+                graph_settings.mode++;
+                if (graph_settings.mode >= MODES_COUNT)
+                    graph_settings.mode = 0;
+                draw(modes_text[graph_settings.mode]);
+                break;
+            }
+            case FFT_WINDOW: {
+                changed_window = true;
+                graph_settings.window_func ++;
+                if(graph_settings.window_func >= WINDOW_COUNT)
+                    graph_settings.window_func = 0;
+                break;
+            }
+            case FFT_SCALE: {
+                graph_settings.logarithmic = !graph_settings.logarithmic;
+                draw(scales_text[graph_settings.logarithmic ? 1 : 0]);
+                break;
+            }
+            case FFT_ORIENTATION: {
+                graph_settings.orientation_vertical = !graph_settings.orientation_vertical;
+                draw(0);
+                break;
+            }
+            default: {
+                if (rb->default_event_handler(button) == SYS_USB_CONNECTED)
+                    return PLUGIN_USB_CONNECTED;
+            }
+        }
+    }
+        
+        /* Handle our input thread. We haven't yield()'d since our last mutex_unlock, so we know we have the mutex */
+        rb->mutex_lock(&input_mutex);
+        input_thread_run = false;
+        rb->mutex_unlock(&input_mutex);
+        rb->thread_wait(input_thread);
+#ifdef HAVE_ADJUSTABLE_CPU_FREQ
+    rb->cpu_boost(false);
+#endif
+#ifndef HAVE_LCD_COLOR
+    grey_release();
+#endif
+    backlight_use_settings();
+    return PLUGIN_OK;
+}
diff --git a/apps/plugins/fft/fft.make b/apps/plugins/fft/fft.make
new file mode 100644
index 0000000000..b14566ca58
--- /dev/null
+++ b/apps/plugins/fft/fft.make
@@ -0,0 +1,27 @@
+#             __________               __   ___.
+#   Open      \______   \ ____   ____ |  | _\_ |__   _______  ___
+#   Source     |       _//  _ \_/ ___\|  |/ /| __ \ /  _ \  \/  /
+#   Jukebox    |    |   (  <_> )  \___|    < | \_\ (  <_> > <  <
+#   Firmware   |____|_  /\____/ \___  >__|_ \|___  /\____/__/\_ \
+#                     \/            \/     \/    \/            \/
+# $Id$
+#
+FFTSRCDIR := $(APPSDIR)/plugins/fft
+FFTBUILDDIR := $(BUILDDIR)/apps/plugins/fft
+ROCKS += $(FFTBUILDDIR)/fft.rock
+FFT_SRC := $(call preprocess, $(FFTSRCDIR)/SOURCES)
+FFT_OBJ := $(call c2obj, $(FFT_SRC))
+# add source files to OTHER_SRC to get automatic dependencies
+OTHER_SRC += $(FFT_SRC)
+FFTFLAGS = $(filter-out -O%,$(PLUGINFLAGS)) -O3 -DFIXED_POINT=16
+$(FFTBUILDDIR)/fft.rock: $(FFT_OBJ)
+$(FFTBUILDDIR)/%.o: $(FFTSRCDIR)/%.c $(FFTSRCDIR)/fft.make
+        $(SILENT)mkdir -p $(dir $@)
+        $(call PRINTS,CC $(subst $(ROOTDIR)/,,$<))$(CC) -I$(dir $<) $(FFTFLAGS) -c $< -o $@
diff --git a/apps/plugins/fft/kiss_fft.c b/apps/plugins/fft/kiss_fft.c
new file mode 100644
index 0000000000..05db6288fe
--- /dev/null
+++ b/apps/plugins/fft/kiss_fft.c
@@ -0,0 +1,428 @@
+/*
+Copyright (c) 2003-2004, Mark Borgerding
+All rights reserved.
+Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
+    * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
+    * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
+    * Neither the author nor the names of any contributors may be used to endorse or promote products derived from this software without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+#include "_kiss_fft_guts.h"
+/* The guts header contains all the multiplication and addition macros that are defined for
+ fixed or floating point complex numbers.  It also delares the kf_ internal functions.
+ */
+static kiss_fft_cpx *scratchbuf=NULL;
+static size_t nscratchbuf=0;
+static kiss_fft_cpx *tmpbuf=NULL;
+static size_t ntmpbuf=0;
+#define CHECKBUF(buf,nbuf,n) \
+    do { \
+        if ( nbuf < (size_t)(n) ) {\
+                DEBUGF("CHECKBUF NOT IMPLEMENTED!");\
+                break;\
+        } \
+   }while(0)
+static void kf_bfly2(
+        kiss_fft_cpx * Fout,
+        const size_t fstride,
+        const kiss_fft_cfg st,
+        int m
+        )
+{
+    kiss_fft_cpx * Fout2;
+    kiss_fft_cpx * tw1 = st->twiddles;
+    kiss_fft_cpx t;
+    Fout2 = Fout + m;
+    do{
+        C_FIXDIV(*Fout,2); C_FIXDIV(*Fout2,2);
+        C_MUL (t,  *Fout2 , *tw1);
+        tw1 += fstride;
+        C_SUB( *Fout2 ,  *Fout , t );
+        C_ADDTO( *Fout ,  t );
+        ++Fout2;
+        ++Fout;
+    }while (--m);
+}
+static void kf_bfly4(
+        kiss_fft_cpx * Fout,
+        const size_t fstride,
+        const kiss_fft_cfg st,
+        const size_t m
+        )
+{
+    kiss_fft_cpx *tw1,*tw2,*tw3;
+    kiss_fft_cpx scratch[6];
+    size_t k=m;
+    const size_t m2=2*m;
+    const size_t m3=3*m;
+    tw3 = tw2 = tw1 = st->twiddles;
+    do {
+        C_FIXDIV(*Fout,4); C_FIXDIV(Fout[m],4); C_FIXDIV(Fout[m2],4); C_FIXDIV(Fout[m3],4);
+        C_MUL(scratch[0],Fout[m] , *tw1 );
+        C_MUL(scratch[1],Fout[m2] , *tw2 );
+        C_MUL(scratch[2],Fout[m3] , *tw3 );
+        C_SUB( scratch[5] , *Fout, scratch[1] );
+        C_ADDTO(*Fout, scratch[1]);
+        C_ADD( scratch[3] , scratch[0] , scratch[2] );
+        C_SUB( scratch[4] , scratch[0] , scratch[2] );
+        C_SUB( Fout[m2], *Fout, scratch[3] );
+        tw1 += fstride;
+        tw2 += fstride*2;
+        tw3 += fstride*3;
+        C_ADDTO( *Fout , scratch[3] );
+        if(st->inverse) {
+            Fout[m].r = scratch[5].r - scratch[4].i;
+            Fout[m].i = scratch[5].i + scratch[4].r;
+            Fout[m3].r = scratch[5].r + scratch[4].i;
+            Fout[m3].i = scratch[5].i - scratch[4].r;
+        }else{
+            Fout[m].r = scratch[5].r + scratch[4].i;
+            Fout[m].i = scratch[5].i - scratch[4].r;
+            Fout[m3].r = scratch[5].r - scratch[4].i;
+            Fout[m3].i = scratch[5].i + scratch[4].r;
+        }
+        ++Fout;
+    }while(--k);
+}
+static void kf_bfly3(
+         kiss_fft_cpx * Fout,
+         const size_t fstride,
+         const kiss_fft_cfg st,
+         size_t m
+         )
+{
+     size_t k=m;
+     const size_t m2 = 2*m;
+     kiss_fft_cpx *tw1,*tw2;
+     kiss_fft_cpx scratch[5];
+     kiss_fft_cpx epi3;
+     epi3 = st->twiddles[fstride*m];
+     tw1=tw2=st->twiddles;
+     do{
+         C_FIXDIV(*Fout,3); C_FIXDIV(Fout[m],3); C_FIXDIV(Fout[m2],3);
+         C_MUL(scratch[1],Fout[m] , *tw1);
+         C_MUL(scratch[2],Fout[m2] , *tw2);
+         C_ADD(scratch[3],scratch[1],scratch[2]);
+         C_SUB(scratch[0],scratch[1],scratch[2]);
+         tw1 += fstride;
+         tw2 += fstride*2;
+         Fout[m].r = Fout->r - HALF_OF(scratch[3].r);
+         Fout[m].i = Fout->i - HALF_OF(scratch[3].i);
+         C_MULBYSCALAR( scratch[0] , epi3.i );
+         C_ADDTO(*Fout,scratch[3]);
+         Fout[m2].r = Fout[m].r + scratch[0].i;
+         Fout[m2].i = Fout[m].i - scratch[0].r;
+         Fout[m].r -= scratch[0].i;
+         Fout[m].i += scratch[0].r;
+         ++Fout;
+     }while(--k);
+}
+static void kf_bfly5(
+        kiss_fft_cpx * Fout,
+        const size_t fstride,
+        const kiss_fft_cfg st,
+        int m
+        )
+{
+    kiss_fft_cpx *Fout0,*Fout1,*Fout2,*Fout3,*Fout4;
+    int u;
+    kiss_fft_cpx scratch[13];
+    kiss_fft_cpx * twiddles = st->twiddles;
+    kiss_fft_cpx *tw;
+    kiss_fft_cpx ya,yb;
+    ya = twiddles[fstride*m];
+    yb = twiddles[fstride*2*m];
+    Fout0=Fout;
+    Fout1=Fout0+m;
+    Fout2=Fout0+2*m;
+    Fout3=Fout0+3*m;
+    Fout4=Fout0+4*m;
+    tw=st->twiddles;
+    for ( u=0; u<m; ++u ) {
+        C_FIXDIV( *Fout0,5); C_FIXDIV( *Fout1,5); C_FIXDIV( *Fout2,5); C_FIXDIV( *Fout3,5); C_FIXDIV( *Fout4,5);
+        scratch[0] = *Fout0;
+        C_MUL(scratch[1] ,*Fout1, tw[u*fstride]);
+        C_MUL(scratch[2] ,*Fout2, tw[2*u*fstride]);
+        C_MUL(scratch[3] ,*Fout3, tw[3*u*fstride]);
+        C_MUL(scratch[4] ,*Fout4, tw[4*u*fstride]);
+        C_ADD( scratch[7],scratch[1],scratch[4]);
+        C_SUB( scratch[10],scratch[1],scratch[4]);
+        C_ADD( scratch[8],scratch[2],scratch[3]);
+        C_SUB( scratch[9],scratch[2],scratch[3]);
+        Fout0->r += scratch[7].r + scratch[8].r;
+        Fout0->i += scratch[7].i + scratch[8].i;
+        scratch[5].r = scratch[0].r + S_MUL(scratch[7].r,ya.r) + S_MUL(scratch[8].r,yb.r);
+        scratch[5].i = scratch[0].i + S_MUL(scratch[7].i,ya.r) + S_MUL(scratch[8].i,yb.r);
+        scratch[6].r =  S_MUL(scratch[10].i,ya.i) + S_MUL(scratch[9].i,yb.i);
+        scratch[6].i = -S_MUL(scratch[10].r,ya.i) - S_MUL(scratch[9].r,yb.i);
+        C_SUB(*Fout1,scratch[5],scratch[6]);
+        C_ADD(*Fout4,scratch[5],scratch[6]);
+        scratch[11].r = scratch[0].r + S_MUL(scratch[7].r,yb.r) + S_MUL(scratch[8].r,ya.r);
+        scratch[11].i = scratch[0].i + S_MUL(scratch[7].i,yb.r) + S_MUL(scratch[8].i,ya.r);
+        scratch[12].r = - S_MUL(scratch[10].i,yb.i) + S_MUL(scratch[9].i,ya.i);
+        scratch[12].i = S_MUL(scratch[10].r,yb.i) - S_MUL(scratch[9].r,ya.i);
+        C_ADD(*Fout2,scratch[11],scratch[12]);
+        C_SUB(*Fout3,scratch[11],scratch[12]);
+        ++Fout0;++Fout1;++Fout2;++Fout3;++Fout4;
+    }
+}
+/* perform the butterfly for one stage of a mixed radix FFT */
+static void kf_bfly_generic(
+        kiss_fft_cpx * Fout,
+        const size_t fstride,
+        const kiss_fft_cfg st,
+        int m,
+        int p
+        )
+{
+    int u,k,q1,q;
+    kiss_fft_cpx * twiddles = st->twiddles;
+    kiss_fft_cpx t;
+    int Norig = st->nfft;
+    CHECKBUF(scratchbuf,nscratchbuf,p);
+    for ( u=0; u<m; ++u ) {
+        k=u;
+        for ( q1=0 ; q1<p ; ++q1 ) {
+            scratchbuf[q1] = Fout[ k  ];
+            C_FIXDIV(scratchbuf[q1],p);
+            k += m;
+        }
+        k=u;
+        for ( q1=0 ; q1<p ; ++q1 ) {
+            int twidx=0;
+            Fout[ k ] = scratchbuf[0];
+            for (q=1;q<p;++q ) {
+                twidx += fstride * k;
+                if (twidx>=Norig) twidx-=Norig;
+                C_MUL(t,scratchbuf[q] , twiddles[twidx] );
+                C_ADDTO( Fout[ k ] ,t);
+            }
+            k += m;
+        }
+    }
+}
+static
+void kf_work(
+        kiss_fft_cpx * Fout,
+        const kiss_fft_cpx * f,
+        const size_t fstride,
+        int in_stride,
+        int * factors,
+        const kiss_fft_cfg st
+        )
+{
+    kiss_fft_cpx * Fout_beg=Fout;
+    const int p=*factors++; /* the radix  */
+    const int m=*factors++; /* stage's fft length/p */
+    const kiss_fft_cpx * Fout_end = Fout + p*m;
+#ifdef _OPENMP
+    // use openmp extensions at the
+    // top-level (not recursive)
+    if (fstride==1) {
+        int k;
+        // execute the p different work units in different threads
+#       pragma omp parallel for
+        for (k=0;k<p;++k)
+            kf_work( Fout +k*m, f+ fstride*in_stride*k,fstride*p,in_stride,factors,st);
+        // all threads have joined by this point
+        switch (p) {
+            case 2: kf_bfly2(Fout,fstride,st,m); break;
+            case 3: kf_bfly3(Fout,fstride,st,m); break;
+            case 4: kf_bfly4(Fout,fstride,st,m); break;
+            case 5: kf_bfly5(Fout,fstride,st,m); break;
+            default: kf_bfly_generic(Fout,fstride,st,m,p); break;
+        }
+        return;
+    }
+#endif
+    if (m==1) {
+        do{
+            *Fout = *f;
+            f += fstride*in_stride;
+        }while(++Fout != Fout_end );
+    }else{
+        do{
+            // recursive call:
+            // DFT of size m*p performed by doing
+            // p instances of smaller DFTs of size m,
+            // each one takes a decimated version of the input
+            kf_work( Fout , f, fstride*p, in_stride, factors,st);
+            f += fstride*in_stride;
+        }while( (Fout += m) != Fout_end );
+    }
+    Fout=Fout_beg;
+    // recombine the p smaller DFTs
+    switch (p) {
+        case 2: kf_bfly2(Fout,fstride,st,m); break;
+        case 3: kf_bfly3(Fout,fstride,st,m); break;
+        case 4: kf_bfly4(Fout,fstride,st,m); break;
+        case 5: kf_bfly5(Fout,fstride,st,m); break;
+        default: kf_bfly_generic(Fout,fstride,st,m,p); break;
+    }
+}
+/*  facbuf is populated by p1,m1,p2,m2, ...
+    where
+    p[i] * m[i] = m[i-1]
+    m0 = n                  */
+static
+void kf_factor(int n,int * facbuf)
+{
+    int p=4;
+    int32_t floor_sqrt = fp_sqrt(n, 15) >> 15;
+    /*factor out powers of 4, powers of 2, then any remaining primes */
+    do {
+        while (n % p) {
+            switch (p) {
+                case 4: p = 2; break;
+                case 2: p = 3; break;
+                default: p += 2; break;
+            }
+            if (p > floor_sqrt)
+                p = n;          /* no more factors, skip to end */
+        }
+        n /= p;
+        *facbuf++ = p;
+        *facbuf++ = n;
+    } while (n > 1);
+}
+/*
+ *
+ * User-callable function to allocate all necessary storage space for the fft.
+ *
+ * The return value is a contiguous block of memory, allocated with malloc.  As such,
+ * It can be freed with free(), rather than a kiss_fft-specific function.
+ * */
+kiss_fft_cfg kiss_fft_alloc(int nfft,int inverse_fft,void * mem,size_t * lenmem )
+{
+    kiss_fft_cfg st=NULL;
+    size_t memneeded = sizeof(struct kiss_fft_state)
+        + sizeof(kiss_fft_cpx)*(nfft-1); /* twiddle factors*/
+    if ( lenmem==NULL ) {
+        DEBUGF("This version of kiss fft can't use malloc");
+        return st;
+        /* st = ( kiss_fft_cfg)KISS_FFT_MALLOC( memneeded ); */
+    }else{
+        if (mem != NULL && *lenmem >= memneeded)
+            st = (kiss_fft_cfg)mem;
+        *lenmem = memneeded;
+    }
+    if (st) {
+                int i;
+                st->nfft=nfft;
+                st->inverse = inverse_fft;
+                for (i=0;i<nfft;++i) {
+                        /* const double pi=3.141592653589793238462643383279502884197169399375105820974944;
+                        double phase = -2*pi*i / nfft; */
+                        if (st->inverse)
+                                DEBUGF("Inverse FFT not implemented!"); /* kf_cexp(st->twiddles+i, -1*i, nfft ); */
+                        else
+                                kf_cexp( st->twiddles+i, i, nfft );
+                }
+                kf_factor(nfft,st->factors);
+        }
+    return st;
+}
+void kiss_fft_stride(kiss_fft_cfg st,const kiss_fft_cpx *fin,kiss_fft_cpx *fout,int in_stride)
+{
+    if (fin == fout) {
+        CHECKBUF(tmpbuf,ntmpbuf,st->nfft);
+        kf_work(tmpbuf,fin,1,in_stride, st->factors,st);
+        memcpy(fout,tmpbuf,sizeof(kiss_fft_cpx)*st->nfft);
+    }else{
+        kf_work( fout, fin, 1,in_stride, st->factors,st );
+    }
+}
+void kiss_fft(kiss_fft_cfg cfg,const kiss_fft_cpx *fin,kiss_fft_cpx *fout)
+{
+    kiss_fft_stride(cfg,fin,fout,1);
+}
+/* not really necessary to call, but if someone is doing in-place ffts, they may want to free the
+   buffers from CHECKBUF
+ */
+void kiss_fft_cleanup(void)
+{
+    /* free(scratchbuf); */
+    scratchbuf = NULL;
+    nscratchbuf=0;
+    /* free(tmpbuf); */
+    tmpbuf=NULL;
+    ntmpbuf=0;
+}
+int kiss_fft_next_fast_size(int n)
+{
+    while(1) {
+        int m=n;
+        while ( (m%2) == 0 ) m/=2;
+        while ( (m%3) == 0 ) m/=3;
+        while ( (m%5) == 0 ) m/=5;
+        if (m<=1)
+            break; /* n is completely factorable by twos, threes, and fives */
+        n++;
+    }
+    return n;
+}
diff --git a/apps/plugins/fft/kiss_fft.h b/apps/plugins/fft/kiss_fft.h
new file mode 100644
index 0000000000..35c864832a
--- /dev/null
+++ b/apps/plugins/fft/kiss_fft.h
@@ -0,0 +1,119 @@
+#ifndef KISS_FFT_H
+#define KISS_FFT_H
+#include <stdlib.h>
+#include <stdio.h>
+#include <math.h>
+#include <string.h>
+#include <malloc.h>
+#include "plugin.h"
+#include "lib/helper.h"
+#ifdef __cplusplus
+extern "C" {
+#endif
+/*
+ ATTENTION!
+ If you would like a :
+ -- a utility that will handle the caching of fft objects
+ -- real-only (no imaginary time component ) FFT
+ -- a multi-dimensional FFT
+ -- a command-line utility to perform ffts
+ -- a command-line utility to perform fast-convolution filtering
+ Then see kfc.h kiss_fftr.h kiss_fftnd.h fftutil.c kiss_fastfir.c
+  in the tools/ directory.
+*/
+#define KISS_FFT_MALLOC malloc
+#ifdef FIXED_POINT
+#include <inttypes.h>
+# if (FIXED_POINT == 32)
+#  define kiss_fft_scalar int32_t
+# else
+#  define kiss_fft_scalar int16_t
+# endif
+#else
+# ifndef kiss_fft_scalar
+/*  default is float */
+#   define kiss_fft_scalar float
+# endif
+#endif
+typedef struct {
+    kiss_fft_scalar r;
+    kiss_fft_scalar i;
+}kiss_fft_cpx;
+typedef struct kiss_fft_state* kiss_fft_cfg;
+/*
+ *  kiss_fft_alloc
+ *
+ *  Initialize a FFT (or IFFT) algorithm's cfg/state buffer.
+ *
+ *  typical usage:      kiss_fft_cfg mycfg=kiss_fft_alloc(1024,0,NULL,NULL);
+ *
+ *  The return value from fft_alloc is a cfg buffer used internally
+ *  by the fft routine or NULL.
+ *
+ *  If lenmem is NULL, then kiss_fft_alloc will allocate a cfg buffer using malloc.
+ *  The returned value should be free()d when done to avoid memory leaks.
+ *
+ *  The state can be placed in a user supplied buffer 'mem':
+ *  If lenmem is not NULL and mem is not NULL and *lenmem is large enough,
+ *      then the function places the cfg in mem and the size used in *lenmem
+ *      and returns mem.
+ *
+ *  If lenmem is not NULL and ( mem is NULL or *lenmem is not large enough),
+ *      then the function returns NULL and places the minimum cfg
+ *      buffer size in *lenmem.
+ * */
+kiss_fft_cfg kiss_fft_alloc(int nfft,int inverse_fft,void * mem,size_t * lenmem);
+/*
+ * kiss_fft(cfg,in_out_buf)
+ *
+ * Perform an FFT on a complex input buffer.
+ * for a forward FFT,
+ * fin should be  f[0] , f[1] , ... ,f[nfft-1]
+ * fout will be   F[0] , F[1] , ... ,F[nfft-1]
+ * Note that each element is complex and can be accessed like
+    f[k].r and f[k].i
+ * */
+void kiss_fft(kiss_fft_cfg cfg,const kiss_fft_cpx *fin,kiss_fft_cpx *fout);
+/*
+ A more generic version of the above function. It reads its input from every Nth sample.
+ * */
+void kiss_fft_stride(kiss_fft_cfg cfg,const kiss_fft_cpx *fin,kiss_fft_cpx *fout,int fin_stride);
+/* If kiss_fft_alloc allocated a buffer, it is one contiguous
+   buffer and can be simply free()d when no longer needed*/
+#define kiss_fft_free free
+/*
+ Cleans up some memory that gets managed internally. Not necessary to call, but it might clean up
+ your compiler output to call this before you exit.
+*/
+void kiss_fft_cleanup(void);
+/*
+ * Returns the smallest integer k, such that k>=n and k has only "fast" factors (2,3,5)
+ */
+int kiss_fft_next_fast_size(int n);
+/* for real ffts, we need an even size */
+#define kiss_fftr_next_fast_size_real(n) \
+        (kiss_fft_next_fast_size( ((n)+1)>>1)<<1)
+#ifdef __cplusplus
+}
+#endif
+#endif
diff --git a/apps/plugins/fft/kiss_fftr.c b/apps/plugins/fft/kiss_fftr.c
new file mode 100644
index 0000000000..7fa29b98e8
--- /dev/null
+++ b/apps/plugins/fft/kiss_fftr.c
@@ -0,0 +1,153 @@
+/*
+Copyright (c) 2003-2004, Mark Borgerding
+All rights reserved.
+Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
+    * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
+    * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
+    * Neither the author nor the names of any contributors may be used to endorse or promote products derived from this software without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+#include "kiss_fftr.h"
+#include "_kiss_fft_guts.h"
+kiss_fftr_cfg kiss_fftr_alloc(int nfft,int inverse_fft,void * mem,size_t * lenmem)
+{
+    int i;
+    kiss_fftr_cfg st = NULL;
+    size_t subsize, memneeded;
+    if (nfft & 1) {
+        DEBUGF("Real FFT optimization must be even.\n");
+        return NULL;
+    }
+    nfft >>= 1;
+    kiss_fft_alloc (nfft, inverse_fft, NULL, &subsize);
+    memneeded = sizeof(struct kiss_fftr_state) + subsize + sizeof(kiss_fft_cpx) * ( nfft * 3 / 2);
+    if (lenmem == NULL) {
+        DEBUGF("Cannot use malloc!"); /*st = (kiss_fftr_cfg) KISS_FFT_MALLOC (memneeded);*/
+    } else {
+        if (*lenmem >= memneeded)
+            st = (kiss_fftr_cfg) mem;
+        *lenmem = memneeded;
+    }
+    if (!st)
+        return NULL;
+    st->substate = (kiss_fft_cfg) (st + 1); /*just beyond kiss_fftr_state struct */
+    st->tmpbuf = (kiss_fft_cpx *) (((char *) st->substate) + subsize);
+    st->super_twiddles = st->tmpbuf + nfft;
+    kiss_fft_alloc(nfft, inverse_fft, st->substate, &subsize);
+    for (i = 0; i < nfft/2; ++i) {
+        /*double phase =
+            -3.14159265358979323846264338327 * ((double) (i+1) / nfft + .5);*/
+        if (inverse_fft)
+        {
+            DEBUGF("Inverse FFT not implemented!"); /*phase *= -1;*/
+        }
+        
+        kf_cexp_round (st->super_twiddles+i, i+1, nfft);
+    }
+    return st;
+}
+void kiss_fftr(kiss_fftr_cfg st,const kiss_fft_scalar *timedata,kiss_fft_cpx *freqdata)
+{
+    /* input buffer timedata is stored row-wise */
+    int k,ncfft;
+    kiss_fft_cpx fpnk,fpk,f1k,f2k,tw,tdc;
+    if ( st->substate->inverse) {
+        DEBUGF("kiss fft usage error: improper alloc\n");
+        return;
+    }
+    ncfft = st->substate->nfft;
+    /*perform the parallel fft of two real signals packed in real,imag*/
+    kiss_fft( st->substate , (const kiss_fft_cpx*)timedata, st->tmpbuf );
+    /* The real part of the DC element of the frequency spectrum in st->tmpbuf
+     * contains the sum of the even-numbered elements of the input time sequence
+     * The imag part is the sum of the odd-numbered elements
+     *
+     * The sum of tdc.r and tdc.i is the sum of the input time sequence. 
+     *      yielding DC of input time sequence
+     * The difference of tdc.r - tdc.i is the sum of the input (dot product) [1,-1,1,-1... 
+     *      yielding Nyquist bin of input time sequence
+     */
+ 
+    tdc.r = st->tmpbuf[0].r;
+    tdc.i = st->tmpbuf[0].i;
+    C_FIXDIV(tdc,2);
+    CHECK_OVERFLOW_OP(tdc.r ,+, tdc.i);
+    CHECK_OVERFLOW_OP(tdc.r ,-, tdc.i);
+    freqdata[0].r = tdc.r + tdc.i;
+    freqdata[ncfft].r = tdc.r - tdc.i;
+#ifdef USE_SIMD    
+    freqdata[ncfft].i = freqdata[0].i = _mm_set1_ps(0);
+#else
+    freqdata[ncfft].i = freqdata[0].i = 0;
+#endif
+    for ( k=1;k <= ncfft/2 ; ++k ) {
+        fpk    = st->tmpbuf[k]; 
+        fpnk.r =   st->tmpbuf[ncfft-k].r;
+        fpnk.i = - st->tmpbuf[ncfft-k].i;
+        C_FIXDIV(fpk,2);
+        C_FIXDIV(fpnk,2);
+        C_ADD( f1k, fpk , fpnk );
+        C_SUB( f2k, fpk , fpnk );
+        C_MUL( tw , f2k , st->super_twiddles[k-1]);
+        freqdata[k].r = HALF_OF(f1k.r + tw.r);
+        freqdata[k].i = HALF_OF(f1k.i + tw.i);
+        freqdata[ncfft-k].r = HALF_OF(f1k.r - tw.r);
+        freqdata[ncfft-k].i = HALF_OF(tw.i - f1k.i);
+    }
+}
+void kiss_fftri(kiss_fftr_cfg st,const kiss_fft_cpx *freqdata,kiss_fft_scalar *timedata)
+{
+    /* input buffer timedata is stored row-wise */
+    int k, ncfft;
+    if (st->substate->inverse == 0) {
+        DEBUGF("kiss fft usage error: improper alloc\n");
+        return;
+    }
+    ncfft = st->substate->nfft;
+    st->tmpbuf[0].r = freqdata[0].r + freqdata[ncfft].r;
+    st->tmpbuf[0].i = freqdata[0].r - freqdata[ncfft].r;
+    C_FIXDIV(st->tmpbuf[0],2);
+    for (k = 1; k <= ncfft / 2; ++k) {
+        kiss_fft_cpx fk, fnkc, fek, fok, tmp;
+        fk = freqdata[k];
+        fnkc.r = freqdata[ncfft - k].r;
+        fnkc.i = -freqdata[ncfft - k].i;
+        C_FIXDIV( fk , 2 );
+        C_FIXDIV( fnkc , 2 );
+        C_ADD (fek, fk, fnkc);
+        C_SUB (tmp, fk, fnkc);
+        C_MUL (fok, tmp, st->super_twiddles[k-1]);
+        C_ADD (st->tmpbuf[k],     fek, fok);
+        C_SUB (st->tmpbuf[ncfft - k], fek, fok);
+#ifdef USE_SIMD        
+        st->tmpbuf[ncfft - k].i *= _mm_set1_ps(-1.0);
+#else
+        st->tmpbuf[ncfft - k].i *= -1;
+#endif
+    }
+    kiss_fft (st->substate, st->tmpbuf, (kiss_fft_cpx *) timedata);
+}
diff --git a/apps/plugins/fft/kiss_fftr.h b/apps/plugins/fft/kiss_fftr.h
new file mode 100644
index 0000000000..19018a05c8
--- /dev/null
+++ b/apps/plugins/fft/kiss_fftr.h
@@ -0,0 +1,54 @@
+#ifndef KISS_FTR_H
+#define KISS_FTR_H
+#include "kiss_fft.h"
+#ifdef __cplusplus
+extern "C" {
+#endif
+    
+/* 
+ 
+ Real optimized version can save about 45% cpu time vs. complex fft of a real seq.
+ 
+ 
+ */
+struct kiss_fftr_state{
+    kiss_fft_cfg substate;
+    kiss_fft_cpx * tmpbuf;
+    kiss_fft_cpx * super_twiddles;
+#ifdef USE_SIMD    
+    long pad;
+#endif    
+};
+typedef struct kiss_fftr_state *kiss_fftr_cfg;
+kiss_fftr_cfg kiss_fftr_alloc(int nfft,int inverse_fft,void * mem, size_t * lenmem);
+/*
+ nfft must be even
+ If you don't care to allocate space, use mem = lenmem = NULL 
+*/
+void kiss_fftr(kiss_fftr_cfg cfg,const kiss_fft_scalar *timedata,kiss_fft_cpx *freqdata);
+/*
+ input timedata has nfft scalar points
+ output freqdata has nfft/2+1 complex points
+*/
+void kiss_fftri(kiss_fftr_cfg cfg,const kiss_fft_cpx *freqdata,kiss_fft_scalar *timedata);
+/*
+ input freqdata has  nfft/2+1 complex points
+ output timedata has nfft scalar points
+*/
+#define kiss_fftr_free free
+#ifdef __cplusplus
+}
+#endif
+#endif
diff --git a/apps/plugins/fft/math.c b/apps/plugins/fft/math.c
new file mode 100644
index 0000000000..c00804fcc8
--- /dev/null
+++ b/apps/plugins/fft/math.c
@@ -0,0 +1,13 @@
+#include "math.h"
+int64_t fsqrt64(int64_t a, unsigned int fracbits)
+{
+    int64_t b = a/2 + (1 << fracbits); /* initial approximation */
+    unsigned int n;
+    const unsigned int iterations = 3; /* very rough approximation */
+    for (n = 0; n < iterations; ++n)
+        b = (b + (((int64_t)(a) << fracbits)/b))/2;
+    return b;
+}
diff --git a/apps/plugins/fft/math.h b/apps/plugins/fft/math.h
new file mode 100644
index 0000000000..450b9aafcb
--- /dev/null
+++ b/apps/plugins/fft/math.h
@@ -0,0 +1,28 @@
+#ifndef __MATH_H_
+#define __MATH_H_
+#include <inttypes.h>
+#include <math.h>
+#include "lib/fixedpoint.h"
+#define Q_MUL(a, b, bits) (( (int64_t) (a) * (int64_t) (b) ) >> (bits))
+#define Q15_MUL(a, b) Q_MUL(a,b,15)
+#define Q16_MUL(a, b) Q_MUL(a,b,16)
+#define Q_DIV(a, b, bits) ( (((int64_t) (a)) << (bits)) / (b) )
+#define Q15_DIV(a, b) Q_DIV(a,b,15)
+#define Q16_DIV(a, b) Q_DIV(a,b,16)
+#define float_q(a, bits) (int32_t)( ((float)(a)) *(1<<(bits)))
+#define float_q15(a) float_q(a, 15)
+#define float_q16(a) float_q(a, 16)
+/**
+ * Fixed point square root via Newton-Raphson.
+ * @param a square root argument.
+ * @param fracbits specifies number of fractional bits in argument.
+ * @return Square root of argument in same fixed point format as input.
+ */
+int64_t fsqrt64(int64_t a, unsigned int fracbits);
+#endif