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https://opencores.org/ocsvn/qo/qo/trunk
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/dds_sine_pack.vhd
0,0 → 1,20783
-------------------------------------------------------------------------- |
-- Package of Direct Digital Synthesizer (DDS) sinewave generator components |
-- |
-- NOTE: These components are for producing digital samples of sinewaves |
-- by using sinewave lookup tables. For modules which produce |
-- single bit pulses of known frequency and/or duty cycle, please |
-- refer to "dds_pack.vhd" |
-- |
|
library ieee; |
use ieee.std_logic_1164.all; |
use ieee.numeric_std.all; |
|
package dds_sine_pack is |
|
component quadrature_oscillator |
generic( |
AMPL_BITS : natural; |
AMPL_VALUE : natural; -- Set to some value below full scale. There is no saturation! |
SAMPLES_PER_CYCLE : natural |
); |
port( |
clk_i : in std_logic; -- System clock |
rst_n_i : in std_logic; -- Low asserted reset |
clk_en_i : in std_logic; -- clock enable, determines sample rate |
|
-- Sine and Cosine outputs |
sin_o : out signed(AMPL_BITS-1 downto 0); |
cos_o : out signed(AMPL_BITS-1 downto 0) |
); |
end component; |
|
component sine_generator_dds |
generic( |
PHI_BITS : natural; -- Bits in phase accumulator, must be >= PHASE_BITS |
AMPL_BITS : natural; |
PHASE_BITS : natural |
); |
port( |
clk_i : in std_logic; |
rst_n_i : in std_logic; |
clk_en_i : in std_logic; |
|
-- Frequency Tuning Word input |
ftw_i : in unsigned(PHI_BITS-1 downto 0); |
|
-- Outputs |
accum_o : out unsigned(PHI_BITS-1 downto 0); |
sine_o : out signed(AMPL_BITS-1 downto 0) |
); |
end component; |
|
component dds_sine |
generic( |
PHI_BITS : natural; -- Bits in phase accumulator, must be >= PHASE_BITS |
AMPL_BITS : natural; |
PHASE_BITS : natural |
); |
port( |
clk_i : in std_logic; |
rst_n_i : in std_logic; |
clk_en_i : in std_logic; |
|
-- Look Up Table interface |
lut_adr_o : out unsigned(PHASE_BITS-3 downto 0); -- Quarter wave LUT |
lut_dat_i : in unsigned(AMPL_BITS-1 downto 0); |
|
-- Frequency Tuning Word input |
ftw_i : in unsigned(PHI_BITS-1 downto 0); |
|
-- Outputs |
accum_o : out unsigned(PHI_BITS-1 downto 0); |
sine_o : out signed(AMPL_BITS-1 downto 0) |
); |
end component; |
|
component dds_sine_non_power_of_two |
generic( |
PHI_BITS : natural; -- Bits in phase accumulator, must be >= PHASE_BITS |
AMPL_BITS : natural; |
PHASE_LENGTH : natural; |
PHASE_BITS : natural |
); |
port( |
clk_i : in std_logic; |
rst_n_i : in std_logic; |
clk_en_i : in std_logic; |
|
-- Look Up Table interface |
lut_adr_o : out unsigned(PHASE_BITS-3 downto 0); -- Quarter wave LUT |
lut_dat_i : in unsigned(AMPL_BITS-1 downto 0); |
|
-- Frequency Tuning Word input |
ftw_i : in unsigned(PHI_BITS-1 downto 0); |
|
-- Outputs |
accum_o : out unsigned(PHI_BITS-1 downto 0); |
sine_o : out signed(AMPL_BITS-1 downto 0) |
); |
end component; |
|
component dds_arb |
generic( |
PHI_BITS : natural; -- Bits in phase accumulator, must be >= PHASE_BITS |
AMPL_BITS : natural; |
PHASE_BITS : natural |
); |
port( |
clk_i : in std_logic; |
rst_n_i : in std_logic; |
clk_en_i : in std_logic; |
|
-- Look Up Table interface |
lut_adr_o : out unsigned(PHASE_BITS-1 downto 0); -- Full Wave LUT |
lut_dat_i : in unsigned(AMPL_BITS-1 downto 0); |
|
-- Frequency Tuning Word input |
ftw_i : in unsigned(PHI_BITS-1 downto 0); |
|
-- Outputs |
accum_o : out unsigned(PHI_BITS-1 downto 0); |
arb_o : out signed(AMPL_BITS-1 downto 0) |
); |
end component; |
|
-- Quarter sine lookup table |
type lut_5000_x_16_type is array(0 to 1249) of unsigned(15 downto 0); |
constant sine_lut_5000_x_16 : lut_5000_x_16_type := ( |
to_unsigned(0,16), |
to_unsigned(41,16), |
to_unsigned(82,16), |
to_unsigned(124,16), |
to_unsigned(165,16), |
to_unsigned(206,16), |
to_unsigned(247,16), |
to_unsigned(288,16), |
to_unsigned(329,16), |
to_unsigned(371,16), |
to_unsigned(412,16), |
to_unsigned(453,16), |
to_unsigned(494,16), |
to_unsigned(535,16), |
to_unsigned(576,16), |
to_unsigned(618,16), |
to_unsigned(659,16), |
to_unsigned(700,16), |
to_unsigned(741,16), |
to_unsigned(782,16), |
to_unsigned(823,16), |
to_unsigned(865,16), |
to_unsigned(906,16), |
to_unsigned(947,16), |
to_unsigned(988,16), |
to_unsigned(1029,16), |
to_unsigned(1070,16), |
to_unsigned(1112,16), |
to_unsigned(1153,16), |
to_unsigned(1194,16), |
to_unsigned(1235,16), |
to_unsigned(1276,16), |
to_unsigned(1317,16), |
to_unsigned(1358,16), |
to_unsigned(1400,16), |
to_unsigned(1441,16), |
to_unsigned(1482,16), |
to_unsigned(1523,16), |
to_unsigned(1564,16), |
to_unsigned(1605,16), |
to_unsigned(1646,16), |
to_unsigned(1687,16), |
to_unsigned(1729,16), |
to_unsigned(1770,16), |
to_unsigned(1811,16), |
to_unsigned(1852,16), |
to_unsigned(1893,16), |
to_unsigned(1934,16), |
to_unsigned(1975,16), |
to_unsigned(2016,16), |
to_unsigned(2057,16), |
to_unsigned(2099,16), |
to_unsigned(2140,16), |
to_unsigned(2181,16), |
to_unsigned(2222,16), |
to_unsigned(2263,16), |
to_unsigned(2304,16), |
to_unsigned(2345,16), |
to_unsigned(2386,16), |
to_unsigned(2427,16), |
to_unsigned(2468,16), |
to_unsigned(2509,16), |
to_unsigned(2550,16), |
to_unsigned(2591,16), |
to_unsigned(2632,16), |
to_unsigned(2673,16), |
to_unsigned(2715,16), |
to_unsigned(2756,16), |
to_unsigned(2797,16), |
to_unsigned(2838,16), |
to_unsigned(2879,16), |
to_unsigned(2920,16), |
to_unsigned(2961,16), |
to_unsigned(3002,16), |
to_unsigned(3043,16), |
to_unsigned(3084,16), |
to_unsigned(3125,16), |
to_unsigned(3166,16), |
to_unsigned(3207,16), |
to_unsigned(3248,16), |
to_unsigned(3289,16), |
to_unsigned(3330,16), |
to_unsigned(3370,16), |
to_unsigned(3411,16), |
to_unsigned(3452,16), |
to_unsigned(3493,16), |
to_unsigned(3534,16), |
to_unsigned(3575,16), |
to_unsigned(3616,16), |
to_unsigned(3657,16), |
to_unsigned(3698,16), |
to_unsigned(3739,16), |
to_unsigned(3780,16), |
to_unsigned(3821,16), |
to_unsigned(3862,16), |
to_unsigned(3902,16), |
to_unsigned(3943,16), |
to_unsigned(3984,16), |
to_unsigned(4025,16), |
to_unsigned(4066,16), |
to_unsigned(4107,16), |
to_unsigned(4148,16), |
to_unsigned(4188,16), |
to_unsigned(4229,16), |
to_unsigned(4270,16), |
to_unsigned(4311,16), |
to_unsigned(4352,16), |
to_unsigned(4393,16), |
to_unsigned(4433,16), |
to_unsigned(4474,16), |
to_unsigned(4515,16), |
to_unsigned(4556,16), |
to_unsigned(4597,16), |
to_unsigned(4637,16), |
to_unsigned(4678,16), |
to_unsigned(4719,16), |
to_unsigned(4760,16), |
to_unsigned(4800,16), |
to_unsigned(4841,16), |
to_unsigned(4882,16), |
to_unsigned(4922,16), |
to_unsigned(4963,16), |
to_unsigned(5004,16), |
to_unsigned(5045,16), |
to_unsigned(5085,16), |
to_unsigned(5126,16), |
to_unsigned(5167,16), |
to_unsigned(5207,16), |
to_unsigned(5248,16), |
to_unsigned(5288,16), |
to_unsigned(5329,16), |
to_unsigned(5370,16), |
to_unsigned(5410,16), |
to_unsigned(5451,16), |
to_unsigned(5492,16), |
to_unsigned(5532,16), |
to_unsigned(5573,16), |
to_unsigned(5613,16), |
to_unsigned(5654,16), |
to_unsigned(5694,16), |
to_unsigned(5735,16), |
to_unsigned(5776,16), |
to_unsigned(5816,16), |
to_unsigned(5857,16), |
to_unsigned(5897,16), |
to_unsigned(5938,16), |
to_unsigned(5978,16), |
to_unsigned(6019,16), |
to_unsigned(6059,16), |
to_unsigned(6099,16), |
to_unsigned(6140,16), |
to_unsigned(6180,16), |
to_unsigned(6221,16), |
to_unsigned(6261,16), |
to_unsigned(6302,16), |
to_unsigned(6342,16), |
to_unsigned(6382,16), |
to_unsigned(6423,16), |
to_unsigned(6463,16), |
to_unsigned(6504,16), |
to_unsigned(6544,16), |
to_unsigned(6584,16), |
to_unsigned(6625,16), |
to_unsigned(6665,16), |
to_unsigned(6705,16), |
to_unsigned(6746,16), |
to_unsigned(6786,16), |
to_unsigned(6826,16), |
to_unsigned(6866,16), |
to_unsigned(6907,16), |
to_unsigned(6947,16), |
to_unsigned(6987,16), |
to_unsigned(7027,16), |
to_unsigned(7068,16), |
to_unsigned(7108,16), |
to_unsigned(7148,16), |
to_unsigned(7188,16), |
to_unsigned(7228,16), |
to_unsigned(7268,16), |
to_unsigned(7309,16), |
to_unsigned(7349,16), |
to_unsigned(7389,16), |
to_unsigned(7429,16), |
to_unsigned(7469,16), |
to_unsigned(7509,16), |
to_unsigned(7549,16), |
to_unsigned(7589,16), |
to_unsigned(7629,16), |
to_unsigned(7669,16), |
to_unsigned(7709,16), |
to_unsigned(7749,16), |
to_unsigned(7789,16), |
to_unsigned(7829,16), |
to_unsigned(7869,16), |
to_unsigned(7909,16), |
to_unsigned(7949,16), |
to_unsigned(7989,16), |
to_unsigned(8029,16), |
to_unsigned(8069,16), |
to_unsigned(8109,16), |
to_unsigned(8149,16), |
to_unsigned(8189,16), |
to_unsigned(8229,16), |
to_unsigned(8268,16), |
to_unsigned(8308,16), |
to_unsigned(8348,16), |
to_unsigned(8388,16), |
to_unsigned(8428,16), |
to_unsigned(8467,16), |
to_unsigned(8507,16), |
to_unsigned(8547,16), |
to_unsigned(8587,16), |
to_unsigned(8626,16), |
to_unsigned(8666,16), |
to_unsigned(8706,16), |
to_unsigned(8746,16), |
to_unsigned(8785,16), |
to_unsigned(8825,16), |
to_unsigned(8865,16), |
to_unsigned(8904,16), |
to_unsigned(8944,16), |
to_unsigned(8983,16), |
to_unsigned(9023,16), |
to_unsigned(9063,16), |
to_unsigned(9102,16), |
to_unsigned(9142,16), |
to_unsigned(9181,16), |
to_unsigned(9221,16), |
to_unsigned(9260,16), |
to_unsigned(9300,16), |
to_unsigned(9339,16), |
to_unsigned(9379,16), |
to_unsigned(9418,16), |
to_unsigned(9458,16), |
to_unsigned(9497,16), |
to_unsigned(9536,16), |
to_unsigned(9576,16), |
to_unsigned(9615,16), |
to_unsigned(9654,16), |
to_unsigned(9694,16), |
to_unsigned(9733,16), |
to_unsigned(9772,16), |
to_unsigned(9812,16), |
to_unsigned(9851,16), |
to_unsigned(9890,16), |
to_unsigned(9930,16), |
to_unsigned(9969,16), |
to_unsigned(10008,16), |
to_unsigned(10047,16), |
to_unsigned(10086,16), |
to_unsigned(10126,16), |
to_unsigned(10165,16), |
to_unsigned(10204,16), |
to_unsigned(10243,16), |
to_unsigned(10282,16), |
to_unsigned(10321,16), |
to_unsigned(10360,16), |
to_unsigned(10399,16), |
to_unsigned(10438,16), |
to_unsigned(10477,16), |
to_unsigned(10516,16), |
to_unsigned(10555,16), |
to_unsigned(10594,16), |
to_unsigned(10633,16), |
to_unsigned(10672,16), |
to_unsigned(10711,16), |
to_unsigned(10750,16), |
to_unsigned(10789,16), |
to_unsigned(10828,16), |
to_unsigned(10867,16), |
to_unsigned(10905,16), |
to_unsigned(10944,16), |
to_unsigned(10983,16), |
to_unsigned(11022,16), |
to_unsigned(11061,16), |
to_unsigned(11099,16), |
to_unsigned(11138,16), |
to_unsigned(11177,16), |
to_unsigned(11216,16), |
to_unsigned(11254,16), |
to_unsigned(11293,16), |
to_unsigned(11332,16), |
to_unsigned(11370,16), |
to_unsigned(11409,16), |
to_unsigned(11447,16), |
to_unsigned(11486,16), |
to_unsigned(11525,16), |
to_unsigned(11563,16), |
to_unsigned(11602,16), |
to_unsigned(11640,16), |
to_unsigned(11679,16), |
to_unsigned(11717,16), |
to_unsigned(11755,16), |
to_unsigned(11794,16), |
to_unsigned(11832,16), |
to_unsigned(11871,16), |
to_unsigned(11909,16), |
to_unsigned(11947,16), |
to_unsigned(11986,16), |
to_unsigned(12024,16), |
to_unsigned(12062,16), |
to_unsigned(12101,16), |
to_unsigned(12139,16), |
to_unsigned(12177,16), |
to_unsigned(12215,16), |
to_unsigned(12254,16), |
to_unsigned(12292,16), |
to_unsigned(12330,16), |
to_unsigned(12368,16), |
to_unsigned(12406,16), |
to_unsigned(12444,16), |
to_unsigned(12482,16), |
to_unsigned(12520,16), |
to_unsigned(12558,16), |
to_unsigned(12596,16), |
to_unsigned(12634,16), |
to_unsigned(12672,16), |
to_unsigned(12710,16), |
to_unsigned(12748,16), |
to_unsigned(12786,16), |
to_unsigned(12824,16), |
to_unsigned(12862,16), |
to_unsigned(12900,16), |
to_unsigned(12938,16), |
to_unsigned(12976,16), |
to_unsigned(13013,16), |
to_unsigned(13051,16), |
to_unsigned(13089,16), |
to_unsigned(13127,16), |
to_unsigned(13164,16), |
to_unsigned(13202,16), |
to_unsigned(13240,16), |
to_unsigned(13277,16), |
to_unsigned(13315,16), |
to_unsigned(13353,16), |
to_unsigned(13390,16), |
to_unsigned(13428,16), |
to_unsigned(13465,16), |
to_unsigned(13503,16), |
to_unsigned(13540,16), |
to_unsigned(13578,16), |
to_unsigned(13615,16), |
to_unsigned(13653,16), |
to_unsigned(13690,16), |
to_unsigned(13728,16), |
to_unsigned(13765,16), |
to_unsigned(13802,16), |
to_unsigned(13840,16), |
to_unsigned(13877,16), |
to_unsigned(13914,16), |
to_unsigned(13952,16), |
to_unsigned(13989,16), |
to_unsigned(14026,16), |
to_unsigned(14063,16), |
to_unsigned(14100,16), |
to_unsigned(14138,16), |
to_unsigned(14175,16), |
to_unsigned(14212,16), |
to_unsigned(14249,16), |
to_unsigned(14286,16), |
to_unsigned(14323,16), |
to_unsigned(14360,16), |
to_unsigned(14397,16), |
to_unsigned(14434,16), |
to_unsigned(14471,16), |
to_unsigned(14508,16), |
to_unsigned(14545,16), |
to_unsigned(14582,16), |
to_unsigned(14619,16), |
to_unsigned(14655,16), |
to_unsigned(14692,16), |
to_unsigned(14729,16), |
to_unsigned(14766,16), |
to_unsigned(14802,16), |
to_unsigned(14839,16), |
to_unsigned(14876,16), |
to_unsigned(14913,16), |
to_unsigned(14949,16), |
to_unsigned(14986,16), |
to_unsigned(15022,16), |
to_unsigned(15059,16), |
to_unsigned(15096,16), |
to_unsigned(15132,16), |
to_unsigned(15169,16), |
to_unsigned(15205,16), |
to_unsigned(15242,16), |
to_unsigned(15278,16), |
to_unsigned(15314,16), |
to_unsigned(15351,16), |
to_unsigned(15387,16), |
to_unsigned(15424,16), |
to_unsigned(15460,16), |
to_unsigned(15496,16), |
to_unsigned(15532,16), |
to_unsigned(15569,16), |
to_unsigned(15605,16), |
to_unsigned(15641,16), |
to_unsigned(15677,16), |
to_unsigned(15713,16), |
to_unsigned(15750,16), |
to_unsigned(15786,16), |
to_unsigned(15822,16), |
to_unsigned(15858,16), |
to_unsigned(15894,16), |
to_unsigned(15930,16), |
to_unsigned(15966,16), |
to_unsigned(16002,16), |
to_unsigned(16038,16), |
to_unsigned(16073,16), |
to_unsigned(16109,16), |
to_unsigned(16145,16), |
to_unsigned(16181,16), |
to_unsigned(16217,16), |
to_unsigned(16253,16), |
to_unsigned(16288,16), |
to_unsigned(16324,16), |
to_unsigned(16360,16), |
to_unsigned(16395,16), |
to_unsigned(16431,16), |
to_unsigned(16467,16), |
to_unsigned(16502,16), |
to_unsigned(16538,16), |
to_unsigned(16573,16), |
to_unsigned(16609,16), |
to_unsigned(16644,16), |
to_unsigned(16680,16), |
to_unsigned(16715,16), |
to_unsigned(16751,16), |
to_unsigned(16786,16), |
to_unsigned(16821,16), |
to_unsigned(16857,16), |
to_unsigned(16892,16), |
to_unsigned(16927,16), |
to_unsigned(16962,16), |
to_unsigned(16998,16), |
to_unsigned(17033,16), |
to_unsigned(17068,16), |
to_unsigned(17103,16), |
to_unsigned(17138,16), |
to_unsigned(17173,16), |
to_unsigned(17208,16), |
to_unsigned(17243,16), |
to_unsigned(17278,16), |
to_unsigned(17313,16), |
to_unsigned(17348,16), |
to_unsigned(17383,16), |
to_unsigned(17418,16), |
to_unsigned(17453,16), |
to_unsigned(17488,16), |
to_unsigned(17523,16), |
to_unsigned(17557,16), |
to_unsigned(17592,16), |
to_unsigned(17627,16), |
to_unsigned(17662,16), |
to_unsigned(17696,16), |
to_unsigned(17731,16), |
to_unsigned(17766,16), |
to_unsigned(17800,16), |
to_unsigned(17835,16), |
to_unsigned(17869,16), |
to_unsigned(17904,16), |
to_unsigned(17938,16), |
to_unsigned(17973,16), |
to_unsigned(18007,16), |
to_unsigned(18041,16), |
to_unsigned(18076,16), |
to_unsigned(18110,16), |
to_unsigned(18144,16), |
to_unsigned(18179,16), |
to_unsigned(18213,16), |
to_unsigned(18247,16), |
to_unsigned(18281,16), |
to_unsigned(18315,16), |
to_unsigned(18350,16), |
to_unsigned(18384,16), |
to_unsigned(18418,16), |
to_unsigned(18452,16), |
to_unsigned(18486,16), |
to_unsigned(18520,16), |
to_unsigned(18554,16), |
to_unsigned(18588,16), |
to_unsigned(18622,16), |
to_unsigned(18655,16), |
to_unsigned(18689,16), |
to_unsigned(18723,16), |
to_unsigned(18757,16), |
to_unsigned(18791,16), |
to_unsigned(18824,16), |
to_unsigned(18858,16), |
to_unsigned(18892,16), |
to_unsigned(18925,16), |
to_unsigned(18959,16), |
to_unsigned(18992,16), |
to_unsigned(19026,16), |
to_unsigned(19060,16), |
to_unsigned(19093,16), |
to_unsigned(19126,16), |
to_unsigned(19160,16), |
to_unsigned(19193,16), |
to_unsigned(19227,16), |
to_unsigned(19260,16), |
to_unsigned(19293,16), |
to_unsigned(19327,16), |
to_unsigned(19360,16), |
to_unsigned(19393,16), |
to_unsigned(19426,16), |
to_unsigned(19459,16), |
to_unsigned(19492,16), |
to_unsigned(19525,16), |
to_unsigned(19559,16), |
to_unsigned(19592,16), |
to_unsigned(19625,16), |
to_unsigned(19658,16), |
to_unsigned(19690,16), |
to_unsigned(19723,16), |
to_unsigned(19756,16), |
to_unsigned(19789,16), |
to_unsigned(19822,16), |
to_unsigned(19855,16), |
to_unsigned(19887,16), |
to_unsigned(19920,16), |
to_unsigned(19953,16), |
to_unsigned(19985,16), |
to_unsigned(20018,16), |
to_unsigned(20051,16), |
to_unsigned(20083,16), |
to_unsigned(20116,16), |
to_unsigned(20148,16), |
to_unsigned(20181,16), |
to_unsigned(20213,16), |
to_unsigned(20245,16), |
to_unsigned(20278,16), |
to_unsigned(20310,16), |
to_unsigned(20342,16), |
to_unsigned(20375,16), |
to_unsigned(20407,16), |
to_unsigned(20439,16), |
to_unsigned(20471,16), |
to_unsigned(20503,16), |
to_unsigned(20535,16), |
to_unsigned(20568,16), |
to_unsigned(20600,16), |
to_unsigned(20632,16), |
to_unsigned(20664,16), |
to_unsigned(20696,16), |
to_unsigned(20727,16), |
to_unsigned(20759,16), |
to_unsigned(20791,16), |
to_unsigned(20823,16), |
to_unsigned(20855,16), |
to_unsigned(20886,16), |
to_unsigned(20918,16), |
to_unsigned(20950,16), |
to_unsigned(20982,16), |
to_unsigned(21013,16), |
to_unsigned(21045,16), |
to_unsigned(21076,16), |
to_unsigned(21108,16), |
to_unsigned(21139,16), |
to_unsigned(21171,16), |
to_unsigned(21202,16), |
to_unsigned(21233,16), |
to_unsigned(21265,16), |
to_unsigned(21296,16), |
to_unsigned(21327,16), |
to_unsigned(21359,16), |
to_unsigned(21390,16), |
to_unsigned(21421,16), |
to_unsigned(21452,16), |
to_unsigned(21483,16), |
to_unsigned(21514,16), |
to_unsigned(21545,16), |
to_unsigned(21576,16), |
to_unsigned(21607,16), |
to_unsigned(21638,16), |
to_unsigned(21669,16), |
to_unsigned(21700,16), |
to_unsigned(21731,16), |
to_unsigned(21762,16), |
to_unsigned(21792,16), |
to_unsigned(21823,16), |
to_unsigned(21854,16), |
to_unsigned(21885,16), |
to_unsigned(21915,16), |
to_unsigned(21946,16), |
to_unsigned(21976,16), |
to_unsigned(22007,16), |
to_unsigned(22037,16), |
to_unsigned(22068,16), |
to_unsigned(22098,16), |
to_unsigned(22129,16), |
to_unsigned(22159,16), |
to_unsigned(22189,16), |
to_unsigned(22220,16), |
to_unsigned(22250,16), |
to_unsigned(22280,16), |
to_unsigned(22310,16), |
to_unsigned(22340,16), |
to_unsigned(22370,16), |
to_unsigned(22401,16), |
to_unsigned(22431,16), |
to_unsigned(22461,16), |
to_unsigned(22491,16), |
to_unsigned(22520,16), |
to_unsigned(22550,16), |
to_unsigned(22580,16), |
to_unsigned(22610,16), |
to_unsigned(22640,16), |
to_unsigned(22670,16), |
to_unsigned(22699,16), |
to_unsigned(22729,16), |
to_unsigned(22759,16), |
to_unsigned(22788,16), |
to_unsigned(22818,16), |
to_unsigned(22847,16), |
to_unsigned(22877,16), |
to_unsigned(22906,16), |
to_unsigned(22936,16), |
to_unsigned(22965,16), |
to_unsigned(22994,16), |
to_unsigned(23024,16), |
to_unsigned(23053,16), |
to_unsigned(23082,16), |
to_unsigned(23111,16), |
to_unsigned(23141,16), |
to_unsigned(23170,16), |
to_unsigned(23199,16), |
to_unsigned(23228,16), |
to_unsigned(23257,16), |
to_unsigned(23286,16), |
to_unsigned(23315,16), |
to_unsigned(23344,16), |
to_unsigned(23373,16), |
to_unsigned(23402,16), |
to_unsigned(23430,16), |
to_unsigned(23459,16), |
to_unsigned(23488,16), |
to_unsigned(23517,16), |
to_unsigned(23545,16), |
to_unsigned(23574,16), |
to_unsigned(23602,16), |
to_unsigned(23631,16), |
to_unsigned(23659,16), |
to_unsigned(23688,16), |
to_unsigned(23716,16), |
to_unsigned(23745,16), |
to_unsigned(23773,16), |
to_unsigned(23801,16), |
to_unsigned(23830,16), |
to_unsigned(23858,16), |
to_unsigned(23886,16), |
to_unsigned(23914,16), |
to_unsigned(23942,16), |
to_unsigned(23971,16), |
to_unsigned(23999,16), |
to_unsigned(24027,16), |
to_unsigned(24055,16), |
to_unsigned(24082,16), |
to_unsigned(24110,16), |
to_unsigned(24138,16), |
to_unsigned(24166,16), |
to_unsigned(24194,16), |
to_unsigned(24222,16), |
to_unsigned(24249,16), |
to_unsigned(24277,16), |
to_unsigned(24305,16), |
to_unsigned(24332,16), |
to_unsigned(24360,16), |
to_unsigned(24387,16), |
to_unsigned(24415,16), |
to_unsigned(24442,16), |
to_unsigned(24470,16), |
to_unsigned(24497,16), |
to_unsigned(24524,16), |
to_unsigned(24552,16), |
to_unsigned(24579,16), |
to_unsigned(24606,16), |
to_unsigned(24633,16), |
to_unsigned(24660,16), |
to_unsigned(24687,16), |
to_unsigned(24715,16), |
to_unsigned(24742,16), |
to_unsigned(24769,16), |
to_unsigned(24795,16), |
to_unsigned(24822,16), |
to_unsigned(24849,16), |
to_unsigned(24876,16), |
to_unsigned(24903,16), |
to_unsigned(24930,16), |
to_unsigned(24956,16), |
to_unsigned(24983,16), |
to_unsigned(25010,16), |
to_unsigned(25036,16), |
to_unsigned(25063,16), |
to_unsigned(25089,16), |
to_unsigned(25116,16), |
to_unsigned(25142,16), |
to_unsigned(25168,16), |
to_unsigned(25195,16), |
to_unsigned(25221,16), |
to_unsigned(25247,16), |
to_unsigned(25274,16), |
to_unsigned(25300,16), |
to_unsigned(25326,16), |
to_unsigned(25352,16), |
to_unsigned(25378,16), |
to_unsigned(25404,16), |
to_unsigned(25430,16), |
to_unsigned(25456,16), |
to_unsigned(25482,16), |
to_unsigned(25508,16), |
to_unsigned(25534,16), |
to_unsigned(25559,16), |
to_unsigned(25585,16), |
to_unsigned(25611,16), |
to_unsigned(25637,16), |
to_unsigned(25662,16), |
to_unsigned(25688,16), |
to_unsigned(25713,16), |
to_unsigned(25739,16), |
to_unsigned(25764,16), |
to_unsigned(25790,16), |
to_unsigned(25815,16), |
to_unsigned(25840,16), |
to_unsigned(25866,16), |
to_unsigned(25891,16), |
to_unsigned(25916,16), |
to_unsigned(25941,16), |
to_unsigned(25967,16), |
to_unsigned(25992,16), |
to_unsigned(26017,16), |
to_unsigned(26042,16), |
to_unsigned(26067,16), |
to_unsigned(26092,16), |
to_unsigned(26116,16), |
to_unsigned(26141,16), |
to_unsigned(26166,16), |
to_unsigned(26191,16), |
to_unsigned(26216,16), |
to_unsigned(26240,16), |
to_unsigned(26265,16), |
to_unsigned(26290,16), |
to_unsigned(26314,16), |
to_unsigned(26339,16), |
to_unsigned(26363,16), |
to_unsigned(26388,16), |
to_unsigned(26412,16), |
to_unsigned(26436,16), |
to_unsigned(26461,16), |
to_unsigned(26485,16), |
to_unsigned(26509,16), |
to_unsigned(26533,16), |
to_unsigned(26557,16), |
to_unsigned(26581,16), |
to_unsigned(26606,16), |
to_unsigned(26630,16), |
to_unsigned(26654,16), |
to_unsigned(26677,16), |
to_unsigned(26701,16), |
to_unsigned(26725,16), |
to_unsigned(26749,16), |
to_unsigned(26773,16), |
to_unsigned(26796,16), |
to_unsigned(26820,16), |
to_unsigned(26844,16), |
to_unsigned(26867,16), |
to_unsigned(26891,16), |
to_unsigned(26914,16), |
to_unsigned(26938,16), |
to_unsigned(26961,16), |
to_unsigned(26985,16), |
to_unsigned(27008,16), |
to_unsigned(27031,16), |
to_unsigned(27055,16), |
to_unsigned(27078,16), |
to_unsigned(27101,16), |
to_unsigned(27124,16), |
to_unsigned(27147,16), |
to_unsigned(27170,16), |
to_unsigned(27193,16), |
to_unsigned(27216,16), |
to_unsigned(27239,16), |
to_unsigned(27262,16), |
to_unsigned(27285,16), |
to_unsigned(27308,16), |
to_unsigned(27330,16), |
to_unsigned(27353,16), |
to_unsigned(27376,16), |
to_unsigned(27398,16), |
to_unsigned(27421,16), |
to_unsigned(27443,16), |
to_unsigned(27466,16), |
to_unsigned(27488,16), |
to_unsigned(27511,16), |
to_unsigned(27533,16), |
to_unsigned(27555,16), |
to_unsigned(27577,16), |
to_unsigned(27600,16), |
to_unsigned(27622,16), |
to_unsigned(27644,16), |
to_unsigned(27666,16), |
to_unsigned(27688,16), |
to_unsigned(27710,16), |
to_unsigned(27732,16), |
to_unsigned(27754,16), |
to_unsigned(27776,16), |
to_unsigned(27798,16), |
to_unsigned(27819,16), |
to_unsigned(27841,16), |
to_unsigned(27863,16), |
to_unsigned(27885,16), |
to_unsigned(27906,16), |
to_unsigned(27928,16), |
to_unsigned(27949,16), |
to_unsigned(27971,16), |
to_unsigned(27992,16), |
to_unsigned(28013,16), |
to_unsigned(28035,16), |
to_unsigned(28056,16), |
to_unsigned(28077,16), |
to_unsigned(28099,16), |
to_unsigned(28120,16), |
to_unsigned(28141,16), |
to_unsigned(28162,16), |
to_unsigned(28183,16), |
to_unsigned(28204,16), |
to_unsigned(28225,16), |
to_unsigned(28246,16), |
to_unsigned(28267,16), |
to_unsigned(28287,16), |
to_unsigned(28308,16), |
to_unsigned(28329,16), |
to_unsigned(28350,16), |
to_unsigned(28370,16), |
to_unsigned(28391,16), |
to_unsigned(28411,16), |
to_unsigned(28432,16), |
to_unsigned(28452,16), |
to_unsigned(28473,16), |
to_unsigned(28493,16), |
to_unsigned(28513,16), |
to_unsigned(28534,16), |
to_unsigned(28554,16), |
to_unsigned(28574,16), |
to_unsigned(28594,16), |
to_unsigned(28614,16), |
to_unsigned(28634,16), |
to_unsigned(28654,16), |
to_unsigned(28674,16), |
to_unsigned(28694,16), |
to_unsigned(28714,16), |
to_unsigned(28734,16), |
to_unsigned(28754,16), |
to_unsigned(28773,16), |
to_unsigned(28793,16), |
to_unsigned(28813,16), |
to_unsigned(28832,16), |
to_unsigned(28852,16), |
to_unsigned(28871,16), |
to_unsigned(28891,16), |
to_unsigned(28910,16), |
to_unsigned(28929,16), |
to_unsigned(28949,16), |
to_unsigned(28968,16), |
to_unsigned(28987,16), |
to_unsigned(29006,16), |
to_unsigned(29026,16), |
to_unsigned(29045,16), |
to_unsigned(29064,16), |
to_unsigned(29083,16), |
to_unsigned(29102,16), |
to_unsigned(29120,16), |
to_unsigned(29139,16), |
to_unsigned(29158,16), |
to_unsigned(29177,16), |
to_unsigned(29196,16), |
to_unsigned(29214,16), |
to_unsigned(29233,16), |
to_unsigned(29251,16), |
to_unsigned(29270,16), |
to_unsigned(29289,16), |
to_unsigned(29307,16), |
to_unsigned(29325,16), |
to_unsigned(29344,16), |
to_unsigned(29362,16), |
to_unsigned(29380,16), |
to_unsigned(29398,16), |
to_unsigned(29417,16), |
to_unsigned(29435,16), |
to_unsigned(29453,16), |
to_unsigned(29471,16), |
to_unsigned(29489,16), |
to_unsigned(29507,16), |
to_unsigned(29525,16), |
to_unsigned(29542,16), |
to_unsigned(29560,16), |
to_unsigned(29578,16), |
to_unsigned(29596,16), |
to_unsigned(29613,16), |
to_unsigned(29631,16), |
to_unsigned(29648,16), |
to_unsigned(29666,16), |
to_unsigned(29683,16), |
to_unsigned(29701,16), |
to_unsigned(29718,16), |
to_unsigned(29736,16), |
to_unsigned(29753,16), |
to_unsigned(29770,16), |
to_unsigned(29787,16), |
to_unsigned(29804,16), |
to_unsigned(29821,16), |
to_unsigned(29838,16), |
to_unsigned(29855,16), |
to_unsigned(29872,16), |
to_unsigned(29889,16), |
to_unsigned(29906,16), |
to_unsigned(29923,16), |
to_unsigned(29940,16), |
to_unsigned(29956,16), |
to_unsigned(29973,16), |
to_unsigned(29990,16), |
to_unsigned(30006,16), |
to_unsigned(30023,16), |
to_unsigned(30039,16), |
to_unsigned(30056,16), |
to_unsigned(30072,16), |
to_unsigned(30088,16), |
to_unsigned(30105,16), |
to_unsigned(30121,16), |
to_unsigned(30137,16), |
to_unsigned(30153,16), |
to_unsigned(30169,16), |
to_unsigned(30185,16), |
to_unsigned(30201,16), |
to_unsigned(30217,16), |
to_unsigned(30233,16), |
to_unsigned(30249,16), |
to_unsigned(30265,16), |
to_unsigned(30281,16), |
to_unsigned(30296,16), |
to_unsigned(30312,16), |
to_unsigned(30328,16), |
to_unsigned(30343,16), |
to_unsigned(30359,16), |
to_unsigned(30374,16), |
to_unsigned(30390,16), |
to_unsigned(30405,16), |
to_unsigned(30420,16), |
to_unsigned(30436,16), |
to_unsigned(30451,16), |
to_unsigned(30466,16), |
to_unsigned(30481,16), |
to_unsigned(30496,16), |
to_unsigned(30511,16), |
to_unsigned(30526,16), |
to_unsigned(30541,16), |
to_unsigned(30556,16), |
to_unsigned(30571,16), |
to_unsigned(30586,16), |
to_unsigned(30600,16), |
to_unsigned(30615,16), |
to_unsigned(30630,16), |
to_unsigned(30644,16), |
to_unsigned(30659,16), |
to_unsigned(30673,16), |
to_unsigned(30688,16), |
to_unsigned(30702,16), |
to_unsigned(30717,16), |
to_unsigned(30731,16), |
to_unsigned(30745,16), |
to_unsigned(30759,16), |
to_unsigned(30774,16), |
to_unsigned(30788,16), |
to_unsigned(30802,16), |
to_unsigned(30816,16), |
to_unsigned(30830,16), |
to_unsigned(30844,16), |
to_unsigned(30858,16), |
to_unsigned(30871,16), |
to_unsigned(30885,16), |
to_unsigned(30899,16), |
to_unsigned(30913,16), |
to_unsigned(30926,16), |
to_unsigned(30940,16), |
to_unsigned(30953,16), |
to_unsigned(30967,16), |
to_unsigned(30980,16), |
to_unsigned(30994,16), |
to_unsigned(31007,16), |
to_unsigned(31020,16), |
to_unsigned(31034,16), |
to_unsigned(31047,16), |
to_unsigned(31060,16), |
to_unsigned(31073,16), |
to_unsigned(31086,16), |
to_unsigned(31099,16), |
to_unsigned(31112,16), |
to_unsigned(31125,16), |
to_unsigned(31138,16), |
to_unsigned(31151,16), |
to_unsigned(31163,16), |
to_unsigned(31176,16), |
to_unsigned(31189,16), |
to_unsigned(31201,16), |
to_unsigned(31214,16), |
to_unsigned(31226,16), |
to_unsigned(31239,16), |
to_unsigned(31251,16), |
to_unsigned(31263,16), |
to_unsigned(31276,16), |
to_unsigned(31288,16), |
to_unsigned(31300,16), |
to_unsigned(31312,16), |
to_unsigned(31325,16), |
to_unsigned(31337,16), |
to_unsigned(31349,16), |
to_unsigned(31361,16), |
to_unsigned(31372,16), |
to_unsigned(31384,16), |
to_unsigned(31396,16), |
to_unsigned(31408,16), |
to_unsigned(31420,16), |
to_unsigned(31431,16), |
to_unsigned(31443,16), |
to_unsigned(31454,16), |
to_unsigned(31466,16), |
to_unsigned(31477,16), |
to_unsigned(31489,16), |
to_unsigned(31500,16), |
to_unsigned(31511,16), |
to_unsigned(31523,16), |
to_unsigned(31534,16), |
to_unsigned(31545,16), |
to_unsigned(31556,16), |
to_unsigned(31567,16), |
to_unsigned(31578,16), |
to_unsigned(31589,16), |
to_unsigned(31600,16), |
to_unsigned(31611,16), |
to_unsigned(31622,16), |
to_unsigned(31633,16), |
to_unsigned(31643,16), |
to_unsigned(31654,16), |
to_unsigned(31665,16), |
to_unsigned(31675,16), |
to_unsigned(31686,16), |
to_unsigned(31696,16), |
to_unsigned(31707,16), |
to_unsigned(31717,16), |
to_unsigned(31727,16), |
to_unsigned(31738,16), |
to_unsigned(31748,16), |
to_unsigned(31758,16), |
to_unsigned(31768,16), |
to_unsigned(31778,16), |
to_unsigned(31788,16), |
to_unsigned(31798,16), |
to_unsigned(31808,16), |
to_unsigned(31818,16), |
to_unsigned(31828,16), |
to_unsigned(31837,16), |
to_unsigned(31847,16), |
to_unsigned(31857,16), |
to_unsigned(31866,16), |
to_unsigned(31876,16), |
to_unsigned(31886,16), |
to_unsigned(31895,16), |
to_unsigned(31904,16), |
to_unsigned(31914,16), |
to_unsigned(31923,16), |
to_unsigned(31932,16), |
to_unsigned(31942,16), |
to_unsigned(31951,16), |
to_unsigned(31960,16), |
to_unsigned(31969,16), |
to_unsigned(31978,16), |
to_unsigned(31987,16), |
to_unsigned(31996,16), |
to_unsigned(32005,16), |
to_unsigned(32013,16), |
to_unsigned(32022,16), |
to_unsigned(32031,16), |
to_unsigned(32040,16), |
to_unsigned(32048,16), |
to_unsigned(32057,16), |
to_unsigned(32065,16), |
to_unsigned(32074,16), |
to_unsigned(32082,16), |
to_unsigned(32090,16), |
to_unsigned(32099,16), |
to_unsigned(32107,16), |
to_unsigned(32115,16), |
to_unsigned(32123,16), |
to_unsigned(32131,16), |
to_unsigned(32139,16), |
to_unsigned(32147,16), |
to_unsigned(32155,16), |
to_unsigned(32163,16), |
to_unsigned(32171,16), |
to_unsigned(32179,16), |
to_unsigned(32187,16), |
to_unsigned(32194,16), |
to_unsigned(32202,16), |
to_unsigned(32210,16), |
to_unsigned(32217,16), |
to_unsigned(32225,16), |
to_unsigned(32232,16), |
to_unsigned(32239,16), |
to_unsigned(32247,16), |
to_unsigned(32254,16), |
to_unsigned(32261,16), |
to_unsigned(32268,16), |
to_unsigned(32276,16), |
to_unsigned(32283,16), |
to_unsigned(32290,16), |
to_unsigned(32297,16), |
to_unsigned(32304,16), |
to_unsigned(32310,16), |
to_unsigned(32317,16), |
to_unsigned(32324,16), |
to_unsigned(32331,16), |
to_unsigned(32337,16), |
to_unsigned(32344,16), |
to_unsigned(32351,16), |
to_unsigned(32357,16), |
to_unsigned(32364,16), |
to_unsigned(32370,16), |
to_unsigned(32376,16), |
to_unsigned(32383,16), |
to_unsigned(32389,16), |
to_unsigned(32395,16), |
to_unsigned(32401,16), |
to_unsigned(32407,16), |
to_unsigned(32413,16), |
to_unsigned(32419,16), |
to_unsigned(32425,16), |
to_unsigned(32431,16), |
to_unsigned(32437,16), |
to_unsigned(32443,16), |
to_unsigned(32449,16), |
to_unsigned(32454,16), |
to_unsigned(32460,16), |
to_unsigned(32466,16), |
to_unsigned(32471,16), |
to_unsigned(32477,16), |
to_unsigned(32482,16), |
to_unsigned(32488,16), |
to_unsigned(32493,16), |
to_unsigned(32498,16), |
to_unsigned(32503,16), |
to_unsigned(32509,16), |
to_unsigned(32514,16), |
to_unsigned(32519,16), |
to_unsigned(32524,16), |
to_unsigned(32529,16), |
to_unsigned(32534,16), |
to_unsigned(32539,16), |
to_unsigned(32543,16), |
to_unsigned(32548,16), |
to_unsigned(32553,16), |
to_unsigned(32558,16), |
to_unsigned(32562,16), |
to_unsigned(32567,16), |
to_unsigned(32571,16), |
to_unsigned(32576,16), |
to_unsigned(32580,16), |
to_unsigned(32585,16), |
to_unsigned(32589,16), |
to_unsigned(32593,16), |
to_unsigned(32597,16), |
to_unsigned(32602,16), |
to_unsigned(32606,16), |
to_unsigned(32610,16), |
to_unsigned(32614,16), |
to_unsigned(32618,16), |
to_unsigned(32622,16), |
to_unsigned(32625,16), |
to_unsigned(32629,16), |
to_unsigned(32633,16), |
to_unsigned(32637,16), |
to_unsigned(32640,16), |
to_unsigned(32644,16), |
to_unsigned(32647,16), |
to_unsigned(32651,16), |
to_unsigned(32654,16), |
to_unsigned(32658,16), |
to_unsigned(32661,16), |
to_unsigned(32664,16), |
to_unsigned(32668,16), |
to_unsigned(32671,16), |
to_unsigned(32674,16), |
to_unsigned(32677,16), |
to_unsigned(32680,16), |
to_unsigned(32683,16), |
to_unsigned(32686,16), |
to_unsigned(32689,16), |
to_unsigned(32692,16), |
to_unsigned(32694,16), |
to_unsigned(32697,16), |
to_unsigned(32700,16), |
to_unsigned(32702,16), |
to_unsigned(32705,16), |
to_unsigned(32707,16), |
to_unsigned(32710,16), |
to_unsigned(32712,16), |
to_unsigned(32715,16), |
to_unsigned(32717,16), |
to_unsigned(32719,16), |
to_unsigned(32721,16), |
to_unsigned(32724,16), |
to_unsigned(32726,16), |
to_unsigned(32728,16), |
to_unsigned(32730,16), |
to_unsigned(32732,16), |
to_unsigned(32733,16), |
to_unsigned(32735,16), |
to_unsigned(32737,16), |
to_unsigned(32739,16), |
to_unsigned(32741,16), |
to_unsigned(32742,16), |
to_unsigned(32744,16), |
to_unsigned(32745,16), |
to_unsigned(32747,16), |
to_unsigned(32748,16), |
to_unsigned(32750,16), |
to_unsigned(32751,16), |
to_unsigned(32752,16), |
to_unsigned(32753,16), |
to_unsigned(32754,16), |
to_unsigned(32756,16), |
to_unsigned(32757,16), |
to_unsigned(32758,16), |
to_unsigned(32759,16), |
to_unsigned(32760,16), |
to_unsigned(32760,16), |
to_unsigned(32761,16), |
to_unsigned(32762,16), |
to_unsigned(32763,16), |
to_unsigned(32763,16), |
to_unsigned(32764,16), |
to_unsigned(32764,16), |
to_unsigned(32765,16), |
to_unsigned(32765,16), |
to_unsigned(32766,16), |
to_unsigned(32766,16), |
to_unsigned(32766,16), |
to_unsigned(32767,16), |
to_unsigned(32767,16), |
to_unsigned(32767,16), |
to_unsigned(32767,16) |
); |
|
-- Quarter sine lookup table |
type lut_10000_type is array(0 to 2499) of unsigned(15 downto 0); |
constant sine_lut_10000_x_16 : lut_10000_type := ( |
to_unsigned(0,16), |
to_unsigned(21,16), |
to_unsigned(41,16), |
to_unsigned(62,16), |
to_unsigned(82,16), |
to_unsigned(103,16), |
to_unsigned(124,16), |
to_unsigned(144,16), |
to_unsigned(165,16), |
to_unsigned(185,16), |
to_unsigned(206,16), |
to_unsigned(226,16), |
to_unsigned(247,16), |
to_unsigned(268,16), |
to_unsigned(288,16), |
to_unsigned(309,16), |
to_unsigned(329,16), |
to_unsigned(350,16), |
to_unsigned(371,16), |
to_unsigned(391,16), |
to_unsigned(412,16), |
to_unsigned(432,16), |
to_unsigned(453,16), |
to_unsigned(474,16), |
to_unsigned(494,16), |
to_unsigned(515,16), |
to_unsigned(535,16), |
to_unsigned(556,16), |
to_unsigned(576,16), |
to_unsigned(597,16), |
to_unsigned(618,16), |
to_unsigned(638,16), |
to_unsigned(659,16), |
to_unsigned(679,16), |
to_unsigned(700,16), |
to_unsigned(721,16), |
to_unsigned(741,16), |
to_unsigned(762,16), |
to_unsigned(782,16), |
to_unsigned(803,16), |
to_unsigned(823,16), |
to_unsigned(844,16), |
to_unsigned(865,16), |
to_unsigned(885,16), |
to_unsigned(906,16), |
to_unsigned(926,16), |
to_unsigned(947,16), |
to_unsigned(968,16), |
to_unsigned(988,16), |
to_unsigned(1009,16), |
to_unsigned(1029,16), |
to_unsigned(1050,16), |
to_unsigned(1070,16), |
to_unsigned(1091,16), |
to_unsigned(1112,16), |
to_unsigned(1132,16), |
to_unsigned(1153,16), |
to_unsigned(1173,16), |
to_unsigned(1194,16), |
to_unsigned(1214,16), |
to_unsigned(1235,16), |
to_unsigned(1256,16), |
to_unsigned(1276,16), |
to_unsigned(1297,16), |
to_unsigned(1317,16), |
to_unsigned(1338,16), |
to_unsigned(1358,16), |
to_unsigned(1379,16), |
to_unsigned(1400,16), |
to_unsigned(1420,16), |
to_unsigned(1441,16), |
to_unsigned(1461,16), |
to_unsigned(1482,16), |
to_unsigned(1502,16), |
to_unsigned(1523,16), |
to_unsigned(1544,16), |
to_unsigned(1564,16), |
to_unsigned(1585,16), |
to_unsigned(1605,16), |
to_unsigned(1626,16), |
to_unsigned(1646,16), |
to_unsigned(1667,16), |
to_unsigned(1687,16), |
to_unsigned(1708,16), |
to_unsigned(1729,16), |
to_unsigned(1749,16), |
to_unsigned(1770,16), |
to_unsigned(1790,16), |
to_unsigned(1811,16), |
to_unsigned(1831,16), |
to_unsigned(1852,16), |
to_unsigned(1872,16), |
to_unsigned(1893,16), |
to_unsigned(1914,16), |
to_unsigned(1934,16), |
to_unsigned(1955,16), |
to_unsigned(1975,16), |
to_unsigned(1996,16), |
to_unsigned(2016,16), |
to_unsigned(2037,16), |
to_unsigned(2057,16), |
to_unsigned(2078,16), |
to_unsigned(2099,16), |
to_unsigned(2119,16), |
to_unsigned(2140,16), |
to_unsigned(2160,16), |
to_unsigned(2181,16), |
to_unsigned(2201,16), |
to_unsigned(2222,16), |
to_unsigned(2242,16), |
to_unsigned(2263,16), |
to_unsigned(2283,16), |
to_unsigned(2304,16), |
to_unsigned(2325,16), |
to_unsigned(2345,16), |
to_unsigned(2366,16), |
to_unsigned(2386,16), |
to_unsigned(2407,16), |
to_unsigned(2427,16), |
to_unsigned(2448,16), |
to_unsigned(2468,16), |
to_unsigned(2489,16), |
to_unsigned(2509,16), |
to_unsigned(2530,16), |
to_unsigned(2550,16), |
to_unsigned(2571,16), |
to_unsigned(2591,16), |
to_unsigned(2612,16), |
to_unsigned(2632,16), |
to_unsigned(2653,16), |
to_unsigned(2673,16), |
to_unsigned(2694,16), |
to_unsigned(2715,16), |
to_unsigned(2735,16), |
to_unsigned(2756,16), |
to_unsigned(2776,16), |
to_unsigned(2797,16), |
to_unsigned(2817,16), |
to_unsigned(2838,16), |
to_unsigned(2858,16), |
to_unsigned(2879,16), |
to_unsigned(2899,16), |
to_unsigned(2920,16), |
to_unsigned(2940,16), |
to_unsigned(2961,16), |
to_unsigned(2981,16), |
to_unsigned(3002,16), |
to_unsigned(3022,16), |
to_unsigned(3043,16), |
to_unsigned(3063,16), |
to_unsigned(3084,16), |
to_unsigned(3104,16), |
to_unsigned(3125,16), |
to_unsigned(3145,16), |
to_unsigned(3166,16), |
to_unsigned(3186,16), |
to_unsigned(3207,16), |
to_unsigned(3227,16), |
to_unsigned(3248,16), |
to_unsigned(3268,16), |
to_unsigned(3289,16), |
to_unsigned(3309,16), |
to_unsigned(3330,16), |
to_unsigned(3350,16), |
to_unsigned(3370,16), |
to_unsigned(3391,16), |
to_unsigned(3411,16), |
to_unsigned(3432,16), |
to_unsigned(3452,16), |
to_unsigned(3473,16), |
to_unsigned(3493,16), |
to_unsigned(3514,16), |
to_unsigned(3534,16), |
to_unsigned(3555,16), |
to_unsigned(3575,16), |
to_unsigned(3596,16), |
to_unsigned(3616,16), |
to_unsigned(3637,16), |
to_unsigned(3657,16), |
to_unsigned(3678,16), |
to_unsigned(3698,16), |
to_unsigned(3718,16), |
to_unsigned(3739,16), |
to_unsigned(3759,16), |
to_unsigned(3780,16), |
to_unsigned(3800,16), |
to_unsigned(3821,16), |
to_unsigned(3841,16), |
to_unsigned(3862,16), |
to_unsigned(3882,16), |
to_unsigned(3902,16), |
to_unsigned(3923,16), |
to_unsigned(3943,16), |
to_unsigned(3964,16), |
to_unsigned(3984,16), |
to_unsigned(4005,16), |
to_unsigned(4025,16), |
to_unsigned(4046,16), |
to_unsigned(4066,16), |
to_unsigned(4086,16), |
to_unsigned(4107,16), |
to_unsigned(4127,16), |
to_unsigned(4148,16), |
to_unsigned(4168,16), |
to_unsigned(4188,16), |
to_unsigned(4209,16), |
to_unsigned(4229,16), |
to_unsigned(4250,16), |
to_unsigned(4270,16), |
to_unsigned(4291,16), |
to_unsigned(4311,16), |
to_unsigned(4331,16), |
to_unsigned(4352,16), |
to_unsigned(4372,16), |
to_unsigned(4393,16), |
to_unsigned(4413,16), |
to_unsigned(4433,16), |
to_unsigned(4454,16), |
to_unsigned(4474,16), |
to_unsigned(4495,16), |
to_unsigned(4515,16), |
to_unsigned(4535,16), |
to_unsigned(4556,16), |
to_unsigned(4576,16), |
to_unsigned(4597,16), |
to_unsigned(4617,16), |
to_unsigned(4637,16), |
to_unsigned(4658,16), |
to_unsigned(4678,16), |
to_unsigned(4698,16), |
to_unsigned(4719,16), |
to_unsigned(4739,16), |
to_unsigned(4760,16), |
to_unsigned(4780,16), |
to_unsigned(4800,16), |
to_unsigned(4821,16), |
to_unsigned(4841,16), |
to_unsigned(4861,16), |
to_unsigned(4882,16), |
to_unsigned(4902,16), |
to_unsigned(4922,16), |
to_unsigned(4943,16), |
to_unsigned(4963,16), |
to_unsigned(4983,16), |
to_unsigned(5004,16), |
to_unsigned(5024,16), |
to_unsigned(5045,16), |
to_unsigned(5065,16), |
to_unsigned(5085,16), |
to_unsigned(5106,16), |
to_unsigned(5126,16), |
to_unsigned(5146,16), |
to_unsigned(5167,16), |
to_unsigned(5187,16), |
to_unsigned(5207,16), |
to_unsigned(5228,16), |
to_unsigned(5248,16), |
to_unsigned(5268,16), |
to_unsigned(5288,16), |
to_unsigned(5309,16), |
to_unsigned(5329,16), |
to_unsigned(5349,16), |
to_unsigned(5370,16), |
to_unsigned(5390,16), |
to_unsigned(5410,16), |
to_unsigned(5431,16), |
to_unsigned(5451,16), |
to_unsigned(5471,16), |
to_unsigned(5492,16), |
to_unsigned(5512,16), |
to_unsigned(5532,16), |
to_unsigned(5552,16), |
to_unsigned(5573,16), |
to_unsigned(5593,16), |
to_unsigned(5613,16), |
to_unsigned(5634,16), |
to_unsigned(5654,16), |
to_unsigned(5674,16), |
to_unsigned(5694,16), |
to_unsigned(5715,16), |
to_unsigned(5735,16), |
to_unsigned(5755,16), |
to_unsigned(5776,16), |
to_unsigned(5796,16), |
to_unsigned(5816,16), |
to_unsigned(5836,16), |
to_unsigned(5857,16), |
to_unsigned(5877,16), |
to_unsigned(5897,16), |
to_unsigned(5917,16), |
to_unsigned(5938,16), |
to_unsigned(5958,16), |
to_unsigned(5978,16), |
to_unsigned(5998,16), |
to_unsigned(6019,16), |
to_unsigned(6039,16), |
to_unsigned(6059,16), |
to_unsigned(6079,16), |
to_unsigned(6099,16), |
to_unsigned(6120,16), |
to_unsigned(6140,16), |
to_unsigned(6160,16), |
to_unsigned(6180,16), |
to_unsigned(6201,16), |
to_unsigned(6221,16), |
to_unsigned(6241,16), |
to_unsigned(6261,16), |
to_unsigned(6281,16), |
to_unsigned(6302,16), |
to_unsigned(6322,16), |
to_unsigned(6342,16), |
to_unsigned(6362,16), |
to_unsigned(6382,16), |
to_unsigned(6403,16), |
to_unsigned(6423,16), |
to_unsigned(6443,16), |
to_unsigned(6463,16), |
to_unsigned(6483,16), |
to_unsigned(6504,16), |
to_unsigned(6524,16), |
to_unsigned(6544,16), |
to_unsigned(6564,16), |
to_unsigned(6584,16), |
to_unsigned(6604,16), |
to_unsigned(6625,16), |
to_unsigned(6645,16), |
to_unsigned(6665,16), |
to_unsigned(6685,16), |
to_unsigned(6705,16), |
to_unsigned(6725,16), |
to_unsigned(6746,16), |
to_unsigned(6766,16), |
to_unsigned(6786,16), |
to_unsigned(6806,16), |
to_unsigned(6826,16), |
to_unsigned(6846,16), |
to_unsigned(6866,16), |
to_unsigned(6886,16), |
to_unsigned(6907,16), |
to_unsigned(6927,16), |
to_unsigned(6947,16), |
to_unsigned(6967,16), |
to_unsigned(6987,16), |
to_unsigned(7007,16), |
to_unsigned(7027,16), |
to_unsigned(7047,16), |
to_unsigned(7068,16), |
to_unsigned(7088,16), |
to_unsigned(7108,16), |
to_unsigned(7128,16), |
to_unsigned(7148,16), |
to_unsigned(7168,16), |
to_unsigned(7188,16), |
to_unsigned(7208,16), |
to_unsigned(7228,16), |
to_unsigned(7248,16), |
to_unsigned(7268,16), |
to_unsigned(7288,16), |
to_unsigned(7309,16), |
to_unsigned(7329,16), |
to_unsigned(7349,16), |
to_unsigned(7369,16), |
to_unsigned(7389,16), |
to_unsigned(7409,16), |
to_unsigned(7429,16), |
to_unsigned(7449,16), |
to_unsigned(7469,16), |
to_unsigned(7489,16), |
to_unsigned(7509,16), |
to_unsigned(7529,16), |
to_unsigned(7549,16), |
to_unsigned(7569,16), |
to_unsigned(7589,16), |
to_unsigned(7609,16), |
to_unsigned(7629,16), |
to_unsigned(7649,16), |
to_unsigned(7669,16), |
to_unsigned(7689,16), |
to_unsigned(7709,16), |
to_unsigned(7729,16), |
to_unsigned(7749,16), |
to_unsigned(7769,16), |
to_unsigned(7789,16), |
to_unsigned(7809,16), |
to_unsigned(7829,16), |
to_unsigned(7849,16), |
to_unsigned(7869,16), |
to_unsigned(7889,16), |
to_unsigned(7909,16), |
to_unsigned(7929,16), |
to_unsigned(7949,16), |
to_unsigned(7969,16), |
to_unsigned(7989,16), |
to_unsigned(8009,16), |
to_unsigned(8029,16), |
to_unsigned(8049,16), |
to_unsigned(8069,16), |
to_unsigned(8089,16), |
to_unsigned(8109,16), |
to_unsigned(8129,16), |
to_unsigned(8149,16), |
to_unsigned(8169,16), |
to_unsigned(8189,16), |
to_unsigned(8209,16), |
to_unsigned(8229,16), |
to_unsigned(8248,16), |
to_unsigned(8268,16), |
to_unsigned(8288,16), |
to_unsigned(8308,16), |
to_unsigned(8328,16), |
to_unsigned(8348,16), |
to_unsigned(8368,16), |
to_unsigned(8388,16), |
to_unsigned(8408,16), |
to_unsigned(8428,16), |
to_unsigned(8448,16), |
to_unsigned(8467,16), |
to_unsigned(8487,16), |
to_unsigned(8507,16), |
to_unsigned(8527,16), |
to_unsigned(8547,16), |
to_unsigned(8567,16), |
to_unsigned(8587,16), |
to_unsigned(8607,16), |
to_unsigned(8626,16), |
to_unsigned(8646,16), |
to_unsigned(8666,16), |
to_unsigned(8686,16), |
to_unsigned(8706,16), |
to_unsigned(8726,16), |
to_unsigned(8746,16), |
to_unsigned(8765,16), |
to_unsigned(8785,16), |
to_unsigned(8805,16), |
to_unsigned(8825,16), |
to_unsigned(8845,16), |
to_unsigned(8865,16), |
to_unsigned(8884,16), |
to_unsigned(8904,16), |
to_unsigned(8924,16), |
to_unsigned(8944,16), |
to_unsigned(8964,16), |
to_unsigned(8983,16), |
to_unsigned(9003,16), |
to_unsigned(9023,16), |
to_unsigned(9043,16), |
to_unsigned(9063,16), |
to_unsigned(9082,16), |
to_unsigned(9102,16), |
to_unsigned(9122,16), |
to_unsigned(9142,16), |
to_unsigned(9161,16), |
to_unsigned(9181,16), |
to_unsigned(9201,16), |
to_unsigned(9221,16), |
to_unsigned(9241,16), |
to_unsigned(9260,16), |
to_unsigned(9280,16), |
to_unsigned(9300,16), |
to_unsigned(9319,16), |
to_unsigned(9339,16), |
to_unsigned(9359,16), |
to_unsigned(9379,16), |
to_unsigned(9398,16), |
to_unsigned(9418,16), |
to_unsigned(9438,16), |
to_unsigned(9458,16), |
to_unsigned(9477,16), |
to_unsigned(9497,16), |
to_unsigned(9517,16), |
to_unsigned(9536,16), |
to_unsigned(9556,16), |
to_unsigned(9576,16), |
to_unsigned(9595,16), |
to_unsigned(9615,16), |
to_unsigned(9635,16), |
to_unsigned(9654,16), |
to_unsigned(9674,16), |
to_unsigned(9694,16), |
to_unsigned(9714,16), |
to_unsigned(9733,16), |
to_unsigned(9753,16), |
to_unsigned(9772,16), |
to_unsigned(9792,16), |
to_unsigned(9812,16), |
to_unsigned(9831,16), |
to_unsigned(9851,16), |
to_unsigned(9871,16), |
to_unsigned(9890,16), |
to_unsigned(9910,16), |
to_unsigned(9930,16), |
to_unsigned(9949,16), |
to_unsigned(9969,16), |
to_unsigned(9988,16), |
to_unsigned(10008,16), |
to_unsigned(10028,16), |
to_unsigned(10047,16), |
to_unsigned(10067,16), |
to_unsigned(10086,16), |
to_unsigned(10106,16), |
to_unsigned(10126,16), |
to_unsigned(10145,16), |
to_unsigned(10165,16), |
to_unsigned(10184,16), |
to_unsigned(10204,16), |
to_unsigned(10223,16), |
to_unsigned(10243,16), |
to_unsigned(10263,16), |
to_unsigned(10282,16), |
to_unsigned(10302,16), |
to_unsigned(10321,16), |
to_unsigned(10341,16), |
to_unsigned(10360,16), |
to_unsigned(10380,16), |
to_unsigned(10399,16), |
to_unsigned(10419,16), |
to_unsigned(10438,16), |
to_unsigned(10458,16), |
to_unsigned(10477,16), |
to_unsigned(10497,16), |
to_unsigned(10516,16), |
to_unsigned(10536,16), |
to_unsigned(10555,16), |
to_unsigned(10575,16), |
to_unsigned(10594,16), |
to_unsigned(10614,16), |
to_unsigned(10633,16), |
to_unsigned(10653,16), |
to_unsigned(10672,16), |
to_unsigned(10692,16), |
to_unsigned(10711,16), |
to_unsigned(10731,16), |
to_unsigned(10750,16), |
to_unsigned(10769,16), |
to_unsigned(10789,16), |
to_unsigned(10808,16), |
to_unsigned(10828,16), |
to_unsigned(10847,16), |
to_unsigned(10867,16), |
to_unsigned(10886,16), |
to_unsigned(10905,16), |
to_unsigned(10925,16), |
to_unsigned(10944,16), |
to_unsigned(10964,16), |
to_unsigned(10983,16), |
to_unsigned(11003,16), |
to_unsigned(11022,16), |
to_unsigned(11041,16), |
to_unsigned(11061,16), |
to_unsigned(11080,16), |
to_unsigned(11099,16), |
to_unsigned(11119,16), |
to_unsigned(11138,16), |
to_unsigned(11158,16), |
to_unsigned(11177,16), |
to_unsigned(11196,16), |
to_unsigned(11216,16), |
to_unsigned(11235,16), |
to_unsigned(11254,16), |
to_unsigned(11274,16), |
to_unsigned(11293,16), |
to_unsigned(11312,16), |
to_unsigned(11332,16), |
to_unsigned(11351,16), |
to_unsigned(11370,16), |
to_unsigned(11389,16), |
to_unsigned(11409,16), |
to_unsigned(11428,16), |
to_unsigned(11447,16), |
to_unsigned(11467,16), |
to_unsigned(11486,16), |
to_unsigned(11505,16), |
to_unsigned(11525,16), |
to_unsigned(11544,16), |
to_unsigned(11563,16), |
to_unsigned(11582,16), |
to_unsigned(11602,16), |
to_unsigned(11621,16), |
to_unsigned(11640,16), |
to_unsigned(11659,16), |
to_unsigned(11679,16), |
to_unsigned(11698,16), |
to_unsigned(11717,16), |
to_unsigned(11736,16), |
to_unsigned(11755,16), |
to_unsigned(11775,16), |
to_unsigned(11794,16), |
to_unsigned(11813,16), |
to_unsigned(11832,16), |
to_unsigned(11851,16), |
to_unsigned(11871,16), |
to_unsigned(11890,16), |
to_unsigned(11909,16), |
to_unsigned(11928,16), |
to_unsigned(11947,16), |
to_unsigned(11967,16), |
to_unsigned(11986,16), |
to_unsigned(12005,16), |
to_unsigned(12024,16), |
to_unsigned(12043,16), |
to_unsigned(12062,16), |
to_unsigned(12081,16), |
to_unsigned(12101,16), |
to_unsigned(12120,16), |
to_unsigned(12139,16), |
to_unsigned(12158,16), |
to_unsigned(12177,16), |
to_unsigned(12196,16), |
to_unsigned(12215,16), |
to_unsigned(12234,16), |
to_unsigned(12254,16), |
to_unsigned(12273,16), |
to_unsigned(12292,16), |
to_unsigned(12311,16), |
to_unsigned(12330,16), |
to_unsigned(12349,16), |
to_unsigned(12368,16), |
to_unsigned(12387,16), |
to_unsigned(12406,16), |
to_unsigned(12425,16), |
to_unsigned(12444,16), |
to_unsigned(12463,16), |
to_unsigned(12482,16), |
to_unsigned(12501,16), |
to_unsigned(12520,16), |
to_unsigned(12539,16), |
to_unsigned(12558,16), |
to_unsigned(12577,16), |
to_unsigned(12596,16), |
to_unsigned(12615,16), |
to_unsigned(12634,16), |
to_unsigned(12653,16), |
to_unsigned(12672,16), |
to_unsigned(12691,16), |
to_unsigned(12710,16), |
to_unsigned(12729,16), |
to_unsigned(12748,16), |
to_unsigned(12767,16), |
to_unsigned(12786,16), |
to_unsigned(12805,16), |
to_unsigned(12824,16), |
to_unsigned(12843,16), |
to_unsigned(12862,16), |
to_unsigned(12881,16), |
to_unsigned(12900,16), |
to_unsigned(12919,16), |
to_unsigned(12938,16), |
to_unsigned(12957,16), |
to_unsigned(12976,16), |
to_unsigned(12994,16), |
to_unsigned(13013,16), |
to_unsigned(13032,16), |
to_unsigned(13051,16), |
to_unsigned(13070,16), |
to_unsigned(13089,16), |
to_unsigned(13108,16), |
to_unsigned(13127,16), |
to_unsigned(13145,16), |
to_unsigned(13164,16), |
to_unsigned(13183,16), |
to_unsigned(13202,16), |
to_unsigned(13221,16), |
to_unsigned(13240,16), |
to_unsigned(13259,16), |
to_unsigned(13277,16), |
to_unsigned(13296,16), |
to_unsigned(13315,16), |
to_unsigned(13334,16), |
to_unsigned(13353,16), |
to_unsigned(13371,16), |
to_unsigned(13390,16), |
to_unsigned(13409,16), |
to_unsigned(13428,16), |
to_unsigned(13447,16), |
to_unsigned(13465,16), |
to_unsigned(13484,16), |
to_unsigned(13503,16), |
to_unsigned(13522,16), |
to_unsigned(13540,16), |
to_unsigned(13559,16), |
to_unsigned(13578,16), |
to_unsigned(13597,16), |
to_unsigned(13615,16), |
to_unsigned(13634,16), |
to_unsigned(13653,16), |
to_unsigned(13671,16), |
to_unsigned(13690,16), |
to_unsigned(13709,16), |
to_unsigned(13728,16), |
to_unsigned(13746,16), |
to_unsigned(13765,16), |
to_unsigned(13784,16), |
to_unsigned(13802,16), |
to_unsigned(13821,16), |
to_unsigned(13840,16), |
to_unsigned(13858,16), |
to_unsigned(13877,16), |
to_unsigned(13896,16), |
to_unsigned(13914,16), |
to_unsigned(13933,16), |
to_unsigned(13952,16), |
to_unsigned(13970,16), |
to_unsigned(13989,16), |
to_unsigned(14007,16), |
to_unsigned(14026,16), |
to_unsigned(14045,16), |
to_unsigned(14063,16), |
to_unsigned(14082,16), |
to_unsigned(14100,16), |
to_unsigned(14119,16), |
to_unsigned(14138,16), |
to_unsigned(14156,16), |
to_unsigned(14175,16), |
to_unsigned(14193,16), |
to_unsigned(14212,16), |
to_unsigned(14230,16), |
to_unsigned(14249,16), |
to_unsigned(14267,16), |
to_unsigned(14286,16), |
to_unsigned(14304,16), |
to_unsigned(14323,16), |
to_unsigned(14341,16), |
to_unsigned(14360,16), |
to_unsigned(14378,16), |
to_unsigned(14397,16), |
to_unsigned(14415,16), |
to_unsigned(14434,16), |
to_unsigned(14452,16), |
to_unsigned(14471,16), |
to_unsigned(14489,16), |
to_unsigned(14508,16), |
to_unsigned(14526,16), |
to_unsigned(14545,16), |
to_unsigned(14563,16), |
to_unsigned(14582,16), |
to_unsigned(14600,16), |
to_unsigned(14619,16), |
to_unsigned(14637,16), |
to_unsigned(14655,16), |
to_unsigned(14674,16), |
to_unsigned(14692,16), |
to_unsigned(14711,16), |
to_unsigned(14729,16), |
to_unsigned(14747,16), |
to_unsigned(14766,16), |
to_unsigned(14784,16), |
to_unsigned(14802,16), |
to_unsigned(14821,16), |
to_unsigned(14839,16), |
to_unsigned(14858,16), |
to_unsigned(14876,16), |
to_unsigned(14894,16), |
to_unsigned(14913,16), |
to_unsigned(14931,16), |
to_unsigned(14949,16), |
to_unsigned(14968,16), |
to_unsigned(14986,16), |
to_unsigned(15004,16), |
to_unsigned(15022,16), |
to_unsigned(15041,16), |
to_unsigned(15059,16), |
to_unsigned(15077,16), |
to_unsigned(15096,16), |
to_unsigned(15114,16), |
to_unsigned(15132,16), |
to_unsigned(15150,16), |
to_unsigned(15169,16), |
to_unsigned(15187,16), |
to_unsigned(15205,16), |
to_unsigned(15223,16), |
to_unsigned(15242,16), |
to_unsigned(15260,16), |
to_unsigned(15278,16), |
to_unsigned(15296,16), |
to_unsigned(15314,16), |
to_unsigned(15333,16), |
to_unsigned(15351,16), |
to_unsigned(15369,16), |
to_unsigned(15387,16), |
to_unsigned(15405,16), |
to_unsigned(15424,16), |
to_unsigned(15442,16), |
to_unsigned(15460,16), |
to_unsigned(15478,16), |
to_unsigned(15496,16), |
to_unsigned(15514,16), |
to_unsigned(15532,16), |
to_unsigned(15551,16), |
to_unsigned(15569,16), |
to_unsigned(15587,16), |
to_unsigned(15605,16), |
to_unsigned(15623,16), |
to_unsigned(15641,16), |
to_unsigned(15659,16), |
to_unsigned(15677,16), |
to_unsigned(15695,16), |
to_unsigned(15713,16), |
to_unsigned(15731,16), |
to_unsigned(15750,16), |
to_unsigned(15768,16), |
to_unsigned(15786,16), |
to_unsigned(15804,16), |
to_unsigned(15822,16), |
to_unsigned(15840,16), |
to_unsigned(15858,16), |
to_unsigned(15876,16), |
to_unsigned(15894,16), |
to_unsigned(15912,16), |
to_unsigned(15930,16), |
to_unsigned(15948,16), |
to_unsigned(15966,16), |
to_unsigned(15984,16), |
to_unsigned(16002,16), |
to_unsigned(16020,16), |
to_unsigned(16038,16), |
to_unsigned(16056,16), |
to_unsigned(16073,16), |
to_unsigned(16091,16), |
to_unsigned(16109,16), |
to_unsigned(16127,16), |
to_unsigned(16145,16), |
to_unsigned(16163,16), |
to_unsigned(16181,16), |
to_unsigned(16199,16), |
to_unsigned(16217,16), |
to_unsigned(16235,16), |
to_unsigned(16253,16), |
to_unsigned(16270,16), |
to_unsigned(16288,16), |
to_unsigned(16306,16), |
to_unsigned(16324,16), |
to_unsigned(16342,16), |
to_unsigned(16360,16), |
to_unsigned(16378,16), |
to_unsigned(16395,16), |
to_unsigned(16413,16), |
to_unsigned(16431,16), |
to_unsigned(16449,16), |
to_unsigned(16467,16), |
to_unsigned(16484,16), |
to_unsigned(16502,16), |
to_unsigned(16520,16), |
to_unsigned(16538,16), |
to_unsigned(16556,16), |
to_unsigned(16573,16), |
to_unsigned(16591,16), |
to_unsigned(16609,16), |
to_unsigned(16627,16), |
to_unsigned(16644,16), |
to_unsigned(16662,16), |
to_unsigned(16680,16), |
to_unsigned(16697,16), |
to_unsigned(16715,16), |
to_unsigned(16733,16), |
to_unsigned(16751,16), |
to_unsigned(16768,16), |
to_unsigned(16786,16), |
to_unsigned(16804,16), |
to_unsigned(16821,16), |
to_unsigned(16839,16), |
to_unsigned(16857,16), |
to_unsigned(16874,16), |
to_unsigned(16892,16), |
to_unsigned(16910,16), |
to_unsigned(16927,16), |
to_unsigned(16945,16), |
to_unsigned(16962,16), |
to_unsigned(16980,16), |
to_unsigned(16998,16), |
to_unsigned(17015,16), |
to_unsigned(17033,16), |
to_unsigned(17050,16), |
to_unsigned(17068,16), |
to_unsigned(17086,16), |
to_unsigned(17103,16), |
to_unsigned(17121,16), |
to_unsigned(17138,16), |
to_unsigned(17156,16), |
to_unsigned(17173,16), |
to_unsigned(17191,16), |
to_unsigned(17208,16), |
to_unsigned(17226,16), |
to_unsigned(17243,16), |
to_unsigned(17261,16), |
to_unsigned(17278,16), |
to_unsigned(17296,16), |
to_unsigned(17313,16), |
to_unsigned(17331,16), |
to_unsigned(17348,16), |
to_unsigned(17366,16), |
to_unsigned(17383,16), |
to_unsigned(17401,16), |
to_unsigned(17418,16), |
to_unsigned(17436,16), |
to_unsigned(17453,16), |
to_unsigned(17470,16), |
to_unsigned(17488,16), |
to_unsigned(17505,16), |
to_unsigned(17523,16), |
to_unsigned(17540,16), |
to_unsigned(17557,16), |
to_unsigned(17575,16), |
to_unsigned(17592,16), |
to_unsigned(17610,16), |
to_unsigned(17627,16), |
to_unsigned(17644,16), |
to_unsigned(17662,16), |
to_unsigned(17679,16), |
to_unsigned(17696,16), |
to_unsigned(17714,16), |
to_unsigned(17731,16), |
to_unsigned(17748,16), |
to_unsigned(17766,16), |
to_unsigned(17783,16), |
to_unsigned(17800,16), |
to_unsigned(17817,16), |
to_unsigned(17835,16), |
to_unsigned(17852,16), |
to_unsigned(17869,16), |
to_unsigned(17886,16), |
to_unsigned(17904,16), |
to_unsigned(17921,16), |
to_unsigned(17938,16), |
to_unsigned(17955,16), |
to_unsigned(17973,16), |
to_unsigned(17990,16), |
to_unsigned(18007,16), |
to_unsigned(18024,16), |
to_unsigned(18041,16), |
to_unsigned(18059,16), |
to_unsigned(18076,16), |
to_unsigned(18093,16), |
to_unsigned(18110,16), |
to_unsigned(18127,16), |
to_unsigned(18144,16), |
to_unsigned(18162,16), |
to_unsigned(18179,16), |
to_unsigned(18196,16), |
to_unsigned(18213,16), |
to_unsigned(18230,16), |
to_unsigned(18247,16), |
to_unsigned(18264,16), |
to_unsigned(18281,16), |
to_unsigned(18298,16), |
to_unsigned(18315,16), |
to_unsigned(18333,16), |
to_unsigned(18350,16), |
to_unsigned(18367,16), |
to_unsigned(18384,16), |
to_unsigned(18401,16), |
to_unsigned(18418,16), |
to_unsigned(18435,16), |
to_unsigned(18452,16), |
to_unsigned(18469,16), |
to_unsigned(18486,16), |
to_unsigned(18503,16), |
to_unsigned(18520,16), |
to_unsigned(18537,16), |
to_unsigned(18554,16), |
to_unsigned(18571,16), |
to_unsigned(18588,16), |
to_unsigned(18605,16), |
to_unsigned(18622,16), |
to_unsigned(18639,16), |
to_unsigned(18655,16), |
to_unsigned(18672,16), |
to_unsigned(18689,16), |
to_unsigned(18706,16), |
to_unsigned(18723,16), |
to_unsigned(18740,16), |
to_unsigned(18757,16), |
to_unsigned(18774,16), |
to_unsigned(18791,16), |
to_unsigned(18807,16), |
to_unsigned(18824,16), |
to_unsigned(18841,16), |
to_unsigned(18858,16), |
to_unsigned(18875,16), |
to_unsigned(18892,16), |
to_unsigned(18909,16), |
to_unsigned(18925,16), |
to_unsigned(18942,16), |
to_unsigned(18959,16), |
to_unsigned(18976,16), |
to_unsigned(18992,16), |
to_unsigned(19009,16), |
to_unsigned(19026,16), |
to_unsigned(19043,16), |
to_unsigned(19060,16), |
to_unsigned(19076,16), |
to_unsigned(19093,16), |
to_unsigned(19110,16), |
to_unsigned(19126,16), |
to_unsigned(19143,16), |
to_unsigned(19160,16), |
to_unsigned(19177,16), |
to_unsigned(19193,16), |
to_unsigned(19210,16), |
to_unsigned(19227,16), |
to_unsigned(19243,16), |
to_unsigned(19260,16), |
to_unsigned(19277,16), |
to_unsigned(19293,16), |
to_unsigned(19310,16), |
to_unsigned(19327,16), |
to_unsigned(19343,16), |
to_unsigned(19360,16), |
to_unsigned(19376,16), |
to_unsigned(19393,16), |
to_unsigned(19410,16), |
to_unsigned(19426,16), |
to_unsigned(19443,16), |
to_unsigned(19459,16), |
to_unsigned(19476,16), |
to_unsigned(19492,16), |
to_unsigned(19509,16), |
to_unsigned(19525,16), |
to_unsigned(19542,16), |
to_unsigned(19559,16), |
to_unsigned(19575,16), |
to_unsigned(19592,16), |
to_unsigned(19608,16), |
to_unsigned(19625,16), |
to_unsigned(19641,16), |
to_unsigned(19658,16), |
to_unsigned(19674,16), |
to_unsigned(19690,16), |
to_unsigned(19707,16), |
to_unsigned(19723,16), |
to_unsigned(19740,16), |
to_unsigned(19756,16), |
to_unsigned(19773,16), |
to_unsigned(19789,16), |
to_unsigned(19805,16), |
to_unsigned(19822,16), |
to_unsigned(19838,16), |
to_unsigned(19855,16), |
to_unsigned(19871,16), |
to_unsigned(19887,16), |
to_unsigned(19904,16), |
to_unsigned(19920,16), |
to_unsigned(19936,16), |
to_unsigned(19953,16), |
to_unsigned(19969,16), |
to_unsigned(19985,16), |
to_unsigned(20002,16), |
to_unsigned(20018,16), |
to_unsigned(20034,16), |
to_unsigned(20051,16), |
to_unsigned(20067,16), |
to_unsigned(20083,16), |
to_unsigned(20099,16), |
to_unsigned(20116,16), |
to_unsigned(20132,16), |
to_unsigned(20148,16), |
to_unsigned(20164,16), |
to_unsigned(20181,16), |
to_unsigned(20197,16), |
to_unsigned(20213,16), |
to_unsigned(20229,16), |
to_unsigned(20245,16), |
to_unsigned(20262,16), |
to_unsigned(20278,16), |
to_unsigned(20294,16), |
to_unsigned(20310,16), |
to_unsigned(20326,16), |
to_unsigned(20342,16), |
to_unsigned(20359,16), |
to_unsigned(20375,16), |
to_unsigned(20391,16), |
to_unsigned(20407,16), |
to_unsigned(20423,16), |
to_unsigned(20439,16), |
to_unsigned(20455,16), |
to_unsigned(20471,16), |
to_unsigned(20487,16), |
to_unsigned(20503,16), |
to_unsigned(20519,16), |
to_unsigned(20535,16), |
to_unsigned(20552,16), |
to_unsigned(20568,16), |
to_unsigned(20584,16), |
to_unsigned(20600,16), |
to_unsigned(20616,16), |
to_unsigned(20632,16), |
to_unsigned(20648,16), |
to_unsigned(20664,16), |
to_unsigned(20680,16), |
to_unsigned(20696,16), |
to_unsigned(20711,16), |
to_unsigned(20727,16), |
to_unsigned(20743,16), |
to_unsigned(20759,16), |
to_unsigned(20775,16), |
to_unsigned(20791,16), |
to_unsigned(20807,16), |
to_unsigned(20823,16), |
to_unsigned(20839,16), |
to_unsigned(20855,16), |
to_unsigned(20871,16), |
to_unsigned(20886,16), |
to_unsigned(20902,16), |
to_unsigned(20918,16), |
to_unsigned(20934,16), |
to_unsigned(20950,16), |
to_unsigned(20966,16), |
to_unsigned(20982,16), |
to_unsigned(20997,16), |
to_unsigned(21013,16), |
to_unsigned(21029,16), |
to_unsigned(21045,16), |
to_unsigned(21060,16), |
to_unsigned(21076,16), |
to_unsigned(21092,16), |
to_unsigned(21108,16), |
to_unsigned(21123,16), |
to_unsigned(21139,16), |
to_unsigned(21155,16), |
to_unsigned(21171,16), |
to_unsigned(21186,16), |
to_unsigned(21202,16), |
to_unsigned(21218,16), |
to_unsigned(21233,16), |
to_unsigned(21249,16), |
to_unsigned(21265,16), |
to_unsigned(21280,16), |
to_unsigned(21296,16), |
to_unsigned(21312,16), |
to_unsigned(21327,16), |
to_unsigned(21343,16), |
to_unsigned(21359,16), |
to_unsigned(21374,16), |
to_unsigned(21390,16), |
to_unsigned(21405,16), |
to_unsigned(21421,16), |
to_unsigned(21437,16), |
to_unsigned(21452,16), |
to_unsigned(21468,16), |
to_unsigned(21483,16), |
to_unsigned(21499,16), |
to_unsigned(21514,16), |
to_unsigned(21530,16), |
to_unsigned(21545,16), |
to_unsigned(21561,16), |
to_unsigned(21576,16), |
to_unsigned(21592,16), |
to_unsigned(21607,16), |
to_unsigned(21623,16), |
to_unsigned(21638,16), |
to_unsigned(21654,16), |
to_unsigned(21669,16), |
to_unsigned(21685,16), |
to_unsigned(21700,16), |
to_unsigned(21715,16), |
to_unsigned(21731,16), |
to_unsigned(21746,16), |
to_unsigned(21762,16), |
to_unsigned(21777,16), |
to_unsigned(21792,16), |
to_unsigned(21808,16), |
to_unsigned(21823,16), |
to_unsigned(21839,16), |
to_unsigned(21854,16), |
to_unsigned(21869,16), |
to_unsigned(21885,16), |
to_unsigned(21900,16), |
to_unsigned(21915,16), |
to_unsigned(21931,16), |
to_unsigned(21946,16), |
to_unsigned(21961,16), |
to_unsigned(21976,16), |
to_unsigned(21992,16), |
to_unsigned(22007,16), |
to_unsigned(22022,16), |
to_unsigned(22037,16), |
to_unsigned(22053,16), |
to_unsigned(22068,16), |
to_unsigned(22083,16), |
to_unsigned(22098,16), |
to_unsigned(22113,16), |
to_unsigned(22129,16), |
to_unsigned(22144,16), |
to_unsigned(22159,16), |
to_unsigned(22174,16), |
to_unsigned(22189,16), |
to_unsigned(22204,16), |
to_unsigned(22220,16), |
to_unsigned(22235,16), |
to_unsigned(22250,16), |
to_unsigned(22265,16), |
to_unsigned(22280,16), |
to_unsigned(22295,16), |
to_unsigned(22310,16), |
to_unsigned(22325,16), |
to_unsigned(22340,16), |
to_unsigned(22355,16), |
to_unsigned(22370,16), |
to_unsigned(22385,16), |
to_unsigned(22401,16), |
to_unsigned(22416,16), |
to_unsigned(22431,16), |
to_unsigned(22446,16), |
to_unsigned(22461,16), |
to_unsigned(22476,16), |
to_unsigned(22491,16), |
to_unsigned(22505,16), |
to_unsigned(22520,16), |
to_unsigned(22535,16), |
to_unsigned(22550,16), |
to_unsigned(22565,16), |
to_unsigned(22580,16), |
to_unsigned(22595,16), |
to_unsigned(22610,16), |
to_unsigned(22625,16), |
to_unsigned(22640,16), |
to_unsigned(22655,16), |
to_unsigned(22670,16), |
to_unsigned(22684,16), |
to_unsigned(22699,16), |
to_unsigned(22714,16), |
to_unsigned(22729,16), |
to_unsigned(22744,16), |
to_unsigned(22759,16), |
to_unsigned(22773,16), |
to_unsigned(22788,16), |
to_unsigned(22803,16), |
to_unsigned(22818,16), |
to_unsigned(22833,16), |
to_unsigned(22847,16), |
to_unsigned(22862,16), |
to_unsigned(22877,16), |
to_unsigned(22892,16), |
to_unsigned(22906,16), |
to_unsigned(22921,16), |
to_unsigned(22936,16), |
to_unsigned(22950,16), |
to_unsigned(22965,16), |
to_unsigned(22980,16), |
to_unsigned(22994,16), |
to_unsigned(23009,16), |
to_unsigned(23024,16), |
to_unsigned(23038,16), |
to_unsigned(23053,16), |
to_unsigned(23068,16), |
to_unsigned(23082,16), |
to_unsigned(23097,16), |
to_unsigned(23111,16), |
to_unsigned(23126,16), |
to_unsigned(23141,16), |
to_unsigned(23155,16), |
to_unsigned(23170,16), |
to_unsigned(23184,16), |
to_unsigned(23199,16), |
to_unsigned(23213,16), |
to_unsigned(23228,16), |
to_unsigned(23242,16), |
to_unsigned(23257,16), |
to_unsigned(23271,16), |
to_unsigned(23286,16), |
to_unsigned(23300,16), |
to_unsigned(23315,16), |
to_unsigned(23329,16), |
to_unsigned(23344,16), |
to_unsigned(23358,16), |
to_unsigned(23373,16), |
to_unsigned(23387,16), |
to_unsigned(23402,16), |
to_unsigned(23416,16), |
to_unsigned(23430,16), |
to_unsigned(23445,16), |
to_unsigned(23459,16), |
to_unsigned(23473,16), |
to_unsigned(23488,16), |
to_unsigned(23502,16), |
to_unsigned(23517,16), |
to_unsigned(23531,16), |
to_unsigned(23545,16), |
to_unsigned(23559,16), |
to_unsigned(23574,16), |
to_unsigned(23588,16), |
to_unsigned(23602,16), |
to_unsigned(23617,16), |
to_unsigned(23631,16), |
to_unsigned(23645,16), |
to_unsigned(23659,16), |
to_unsigned(23674,16), |
to_unsigned(23688,16), |
to_unsigned(23702,16), |
to_unsigned(23716,16), |
to_unsigned(23731,16), |
to_unsigned(23745,16), |
to_unsigned(23759,16), |
to_unsigned(23773,16), |
to_unsigned(23787,16), |
to_unsigned(23801,16), |
to_unsigned(23816,16), |
to_unsigned(23830,16), |
to_unsigned(23844,16), |
to_unsigned(23858,16), |
to_unsigned(23872,16), |
to_unsigned(23886,16), |
to_unsigned(23900,16), |
to_unsigned(23914,16), |
to_unsigned(23928,16), |
to_unsigned(23942,16), |
to_unsigned(23956,16), |
to_unsigned(23971,16), |
to_unsigned(23985,16), |
to_unsigned(23999,16), |
to_unsigned(24013,16), |
to_unsigned(24027,16), |
to_unsigned(24041,16), |
to_unsigned(24055,16), |
to_unsigned(24069,16), |
to_unsigned(24082,16), |
to_unsigned(24096,16), |
to_unsigned(24110,16), |
to_unsigned(24124,16), |
to_unsigned(24138,16), |
to_unsigned(24152,16), |
to_unsigned(24166,16), |
to_unsigned(24180,16), |
to_unsigned(24194,16), |
to_unsigned(24208,16), |
to_unsigned(24222,16), |
to_unsigned(24235,16), |
to_unsigned(24249,16), |
to_unsigned(24263,16), |
to_unsigned(24277,16), |
to_unsigned(24291,16), |
to_unsigned(24305,16), |
to_unsigned(24318,16), |
to_unsigned(24332,16), |
to_unsigned(24346,16), |
to_unsigned(24360,16), |
to_unsigned(24374,16), |
to_unsigned(24387,16), |
to_unsigned(24401,16), |
to_unsigned(24415,16), |
to_unsigned(24429,16), |
to_unsigned(24442,16), |
to_unsigned(24456,16), |
to_unsigned(24470,16), |
to_unsigned(24483,16), |
to_unsigned(24497,16), |
to_unsigned(24511,16), |
to_unsigned(24524,16), |
to_unsigned(24538,16), |
to_unsigned(24552,16), |
to_unsigned(24565,16), |
to_unsigned(24579,16), |
to_unsigned(24592,16), |
to_unsigned(24606,16), |
to_unsigned(24620,16), |
to_unsigned(24633,16), |
to_unsigned(24647,16), |
to_unsigned(24660,16), |
to_unsigned(24674,16), |
to_unsigned(24687,16), |
to_unsigned(24701,16), |
to_unsigned(24715,16), |
to_unsigned(24728,16), |
to_unsigned(24742,16), |
to_unsigned(24755,16), |
to_unsigned(24769,16), |
to_unsigned(24782,16), |
to_unsigned(24795,16), |
to_unsigned(24809,16), |
to_unsigned(24822,16), |
to_unsigned(24836,16), |
to_unsigned(24849,16), |
to_unsigned(24863,16), |
to_unsigned(24876,16), |
to_unsigned(24889,16), |
to_unsigned(24903,16), |
to_unsigned(24916,16), |
to_unsigned(24930,16), |
to_unsigned(24943,16), |
to_unsigned(24956,16), |
to_unsigned(24970,16), |
to_unsigned(24983,16), |
to_unsigned(24996,16), |
to_unsigned(25010,16), |
to_unsigned(25023,16), |
to_unsigned(25036,16), |
to_unsigned(25049,16), |
to_unsigned(25063,16), |
to_unsigned(25076,16), |
to_unsigned(25089,16), |
to_unsigned(25102,16), |
to_unsigned(25116,16), |
to_unsigned(25129,16), |
to_unsigned(25142,16), |
to_unsigned(25155,16), |
to_unsigned(25168,16), |
to_unsigned(25182,16), |
to_unsigned(25195,16), |
to_unsigned(25208,16), |
to_unsigned(25221,16), |
to_unsigned(25234,16), |
to_unsigned(25247,16), |
to_unsigned(25261,16), |
to_unsigned(25274,16), |
to_unsigned(25287,16), |
to_unsigned(25300,16), |
to_unsigned(25313,16), |
to_unsigned(25326,16), |
to_unsigned(25339,16), |
to_unsigned(25352,16), |
to_unsigned(25365,16), |
to_unsigned(25378,16), |
to_unsigned(25391,16), |
to_unsigned(25404,16), |
to_unsigned(25417,16), |
to_unsigned(25430,16), |
to_unsigned(25443,16), |
to_unsigned(25456,16), |
to_unsigned(25469,16), |
to_unsigned(25482,16), |
to_unsigned(25495,16), |
to_unsigned(25508,16), |
to_unsigned(25521,16), |
to_unsigned(25534,16), |
to_unsigned(25547,16), |
to_unsigned(25559,16), |
to_unsigned(25572,16), |
to_unsigned(25585,16), |
to_unsigned(25598,16), |
to_unsigned(25611,16), |
to_unsigned(25624,16), |
to_unsigned(25637,16), |
to_unsigned(25649,16), |
to_unsigned(25662,16), |
to_unsigned(25675,16), |
to_unsigned(25688,16), |
to_unsigned(25701,16), |
to_unsigned(25713,16), |
to_unsigned(25726,16), |
to_unsigned(25739,16), |
to_unsigned(25752,16), |
to_unsigned(25764,16), |
to_unsigned(25777,16), |
to_unsigned(25790,16), |
to_unsigned(25802,16), |
to_unsigned(25815,16), |
to_unsigned(25828,16), |
to_unsigned(25840,16), |
to_unsigned(25853,16), |
to_unsigned(25866,16), |
to_unsigned(25878,16), |
to_unsigned(25891,16), |
to_unsigned(25904,16), |
to_unsigned(25916,16), |
to_unsigned(25929,16), |
to_unsigned(25941,16), |
to_unsigned(25954,16), |
to_unsigned(25967,16), |
to_unsigned(25979,16), |
to_unsigned(25992,16), |
to_unsigned(26004,16), |
to_unsigned(26017,16), |
to_unsigned(26029,16), |
to_unsigned(26042,16), |
to_unsigned(26054,16), |
to_unsigned(26067,16), |
to_unsigned(26079,16), |
to_unsigned(26092,16), |
to_unsigned(26104,16), |
to_unsigned(26116,16), |
to_unsigned(26129,16), |
to_unsigned(26141,16), |
to_unsigned(26154,16), |
to_unsigned(26166,16), |
to_unsigned(26179,16), |
to_unsigned(26191,16), |
to_unsigned(26203,16), |
to_unsigned(26216,16), |
to_unsigned(26228,16), |
to_unsigned(26240,16), |
to_unsigned(26253,16), |
to_unsigned(26265,16), |
to_unsigned(26277,16), |
to_unsigned(26290,16), |
to_unsigned(26302,16), |
to_unsigned(26314,16), |
to_unsigned(26326,16), |
to_unsigned(26339,16), |
to_unsigned(26351,16), |
to_unsigned(26363,16), |
to_unsigned(26375,16), |
to_unsigned(26388,16), |
to_unsigned(26400,16), |
to_unsigned(26412,16), |
to_unsigned(26424,16), |
to_unsigned(26436,16), |
to_unsigned(26448,16), |
to_unsigned(26461,16), |
to_unsigned(26473,16), |
to_unsigned(26485,16), |
to_unsigned(26497,16), |
to_unsigned(26509,16), |
to_unsigned(26521,16), |
to_unsigned(26533,16), |
to_unsigned(26545,16), |
to_unsigned(26557,16), |
to_unsigned(26569,16), |
to_unsigned(26581,16), |
to_unsigned(26594,16), |
to_unsigned(26606,16), |
to_unsigned(26618,16), |
to_unsigned(26630,16), |
to_unsigned(26642,16), |
to_unsigned(26654,16), |
to_unsigned(26665,16), |
to_unsigned(26677,16), |
to_unsigned(26689,16), |
to_unsigned(26701,16), |
to_unsigned(26713,16), |
to_unsigned(26725,16), |
to_unsigned(26737,16), |
to_unsigned(26749,16), |
to_unsigned(26761,16), |
to_unsigned(26773,16), |
to_unsigned(26785,16), |
to_unsigned(26796,16), |
to_unsigned(26808,16), |
to_unsigned(26820,16), |
to_unsigned(26832,16), |
to_unsigned(26844,16), |
to_unsigned(26856,16), |
to_unsigned(26867,16), |
to_unsigned(26879,16), |
to_unsigned(26891,16), |
to_unsigned(26903,16), |
to_unsigned(26914,16), |
to_unsigned(26926,16), |
to_unsigned(26938,16), |
to_unsigned(26950,16), |
to_unsigned(26961,16), |
to_unsigned(26973,16), |
to_unsigned(26985,16), |
to_unsigned(26996,16), |
to_unsigned(27008,16), |
to_unsigned(27020,16), |
to_unsigned(27031,16), |
to_unsigned(27043,16), |
to_unsigned(27055,16), |
to_unsigned(27066,16), |
to_unsigned(27078,16), |
to_unsigned(27089,16), |
to_unsigned(27101,16), |
to_unsigned(27113,16), |
to_unsigned(27124,16), |
to_unsigned(27136,16), |
to_unsigned(27147,16), |
to_unsigned(27159,16), |
to_unsigned(27170,16), |
to_unsigned(27182,16), |
to_unsigned(27193,16), |
to_unsigned(27205,16), |
to_unsigned(27216,16), |
to_unsigned(27228,16), |
to_unsigned(27239,16), |
to_unsigned(27250,16), |
to_unsigned(27262,16), |
to_unsigned(27273,16), |
to_unsigned(27285,16), |
to_unsigned(27296,16), |
to_unsigned(27308,16), |
to_unsigned(27319,16), |
to_unsigned(27330,16), |
to_unsigned(27342,16), |
to_unsigned(27353,16), |
to_unsigned(27364,16), |
to_unsigned(27376,16), |
to_unsigned(27387,16), |
to_unsigned(27398,16), |
to_unsigned(27409,16), |
to_unsigned(27421,16), |
to_unsigned(27432,16), |
to_unsigned(27443,16), |
to_unsigned(27455,16), |
to_unsigned(27466,16), |
to_unsigned(27477,16), |
to_unsigned(27488,16), |
to_unsigned(27499,16), |
to_unsigned(27511,16), |
to_unsigned(27522,16), |
to_unsigned(27533,16), |
to_unsigned(27544,16), |
to_unsigned(27555,16), |
to_unsigned(27566,16), |
to_unsigned(27577,16), |
to_unsigned(27589,16), |
to_unsigned(27600,16), |
to_unsigned(27611,16), |
to_unsigned(27622,16), |
to_unsigned(27633,16), |
to_unsigned(27644,16), |
to_unsigned(27655,16), |
to_unsigned(27666,16), |
to_unsigned(27677,16), |
to_unsigned(27688,16), |
to_unsigned(27699,16), |
to_unsigned(27710,16), |
to_unsigned(27721,16), |
to_unsigned(27732,16), |
to_unsigned(27743,16), |
to_unsigned(27754,16), |
to_unsigned(27765,16), |
to_unsigned(27776,16), |
to_unsigned(27787,16), |
to_unsigned(27798,16), |
to_unsigned(27809,16), |
to_unsigned(27819,16), |
to_unsigned(27830,16), |
to_unsigned(27841,16), |
to_unsigned(27852,16), |
to_unsigned(27863,16), |
to_unsigned(27874,16), |
to_unsigned(27885,16), |
to_unsigned(27895,16), |
to_unsigned(27906,16), |
to_unsigned(27917,16), |
to_unsigned(27928,16), |
to_unsigned(27938,16), |
to_unsigned(27949,16), |
to_unsigned(27960,16), |
to_unsigned(27971,16), |
to_unsigned(27981,16), |
to_unsigned(27992,16), |
to_unsigned(28003,16), |
to_unsigned(28013,16), |
to_unsigned(28024,16), |
to_unsigned(28035,16), |
to_unsigned(28045,16), |
to_unsigned(28056,16), |
to_unsigned(28067,16), |
to_unsigned(28077,16), |
to_unsigned(28088,16), |
to_unsigned(28099,16), |
to_unsigned(28109,16), |
to_unsigned(28120,16), |
to_unsigned(28130,16), |
to_unsigned(28141,16), |
to_unsigned(28151,16), |
to_unsigned(28162,16), |
to_unsigned(28172,16), |
to_unsigned(28183,16), |
to_unsigned(28193,16), |
to_unsigned(28204,16), |
to_unsigned(28214,16), |
to_unsigned(28225,16), |
to_unsigned(28235,16), |
to_unsigned(28246,16), |
to_unsigned(28256,16), |
to_unsigned(28267,16), |
to_unsigned(28277,16), |
to_unsigned(28287,16), |
to_unsigned(28298,16), |
to_unsigned(28308,16), |
to_unsigned(28319,16), |
to_unsigned(28329,16), |
to_unsigned(28339,16), |
to_unsigned(28350,16), |
to_unsigned(28360,16), |
to_unsigned(28370,16), |
to_unsigned(28380,16), |
to_unsigned(28391,16), |
to_unsigned(28401,16), |
to_unsigned(28411,16), |
to_unsigned(28422,16), |
to_unsigned(28432,16), |
to_unsigned(28442,16), |
to_unsigned(28452,16), |
to_unsigned(28462,16), |
to_unsigned(28473,16), |
to_unsigned(28483,16), |
to_unsigned(28493,16), |
to_unsigned(28503,16), |
to_unsigned(28513,16), |
to_unsigned(28523,16), |
to_unsigned(28534,16), |
to_unsigned(28544,16), |
to_unsigned(28554,16), |
to_unsigned(28564,16), |
to_unsigned(28574,16), |
to_unsigned(28584,16), |
to_unsigned(28594,16), |
to_unsigned(28604,16), |
to_unsigned(28614,16), |
to_unsigned(28624,16), |
to_unsigned(28634,16), |
to_unsigned(28644,16), |
to_unsigned(28654,16), |
to_unsigned(28664,16), |
to_unsigned(28674,16), |
to_unsigned(28684,16), |
to_unsigned(28694,16), |
to_unsigned(28704,16), |
to_unsigned(28714,16), |
to_unsigned(28724,16), |
to_unsigned(28734,16), |
to_unsigned(28744,16), |
to_unsigned(28754,16), |
to_unsigned(28763,16), |
to_unsigned(28773,16), |
to_unsigned(28783,16), |
to_unsigned(28793,16), |
to_unsigned(28803,16), |
to_unsigned(28813,16), |
to_unsigned(28822,16), |
to_unsigned(28832,16), |
to_unsigned(28842,16), |
to_unsigned(28852,16), |
to_unsigned(28861,16), |
to_unsigned(28871,16), |
to_unsigned(28881,16), |
to_unsigned(28891,16), |
to_unsigned(28900,16), |
to_unsigned(28910,16), |
to_unsigned(28920,16), |
to_unsigned(28929,16), |
to_unsigned(28939,16), |
to_unsigned(28949,16), |
to_unsigned(28958,16), |
to_unsigned(28968,16), |
to_unsigned(28978,16), |
to_unsigned(28987,16), |
to_unsigned(28997,16), |
to_unsigned(29006,16), |
to_unsigned(29016,16), |
to_unsigned(29026,16), |
to_unsigned(29035,16), |
to_unsigned(29045,16), |
to_unsigned(29054,16), |
to_unsigned(29064,16), |
to_unsigned(29073,16), |
to_unsigned(29083,16), |
to_unsigned(29092,16), |
to_unsigned(29102,16), |
to_unsigned(29111,16), |
to_unsigned(29120,16), |
to_unsigned(29130,16), |
to_unsigned(29139,16), |
to_unsigned(29149,16), |
to_unsigned(29158,16), |
to_unsigned(29168,16), |
to_unsigned(29177,16), |
to_unsigned(29186,16), |
to_unsigned(29196,16), |
to_unsigned(29205,16), |
to_unsigned(29214,16), |
to_unsigned(29224,16), |
to_unsigned(29233,16), |
to_unsigned(29242,16), |
to_unsigned(29251,16), |
to_unsigned(29261,16), |
to_unsigned(29270,16), |
to_unsigned(29279,16), |
to_unsigned(29289,16), |
to_unsigned(29298,16), |
to_unsigned(29307,16), |
to_unsigned(29316,16), |
to_unsigned(29325,16), |
to_unsigned(29335,16), |
to_unsigned(29344,16), |
to_unsigned(29353,16), |
to_unsigned(29362,16), |
to_unsigned(29371,16), |
to_unsigned(29380,16), |
to_unsigned(29389,16), |
to_unsigned(29398,16), |
to_unsigned(29408,16), |
to_unsigned(29417,16), |
to_unsigned(29426,16), |
to_unsigned(29435,16), |
to_unsigned(29444,16), |
to_unsigned(29453,16), |
to_unsigned(29462,16), |
to_unsigned(29471,16), |
to_unsigned(29480,16), |
to_unsigned(29489,16), |
to_unsigned(29498,16), |
to_unsigned(29507,16), |
to_unsigned(29516,16), |
to_unsigned(29525,16), |
to_unsigned(29534,16), |
to_unsigned(29542,16), |
to_unsigned(29551,16), |
to_unsigned(29560,16), |
to_unsigned(29569,16), |
to_unsigned(29578,16), |
to_unsigned(29587,16), |
to_unsigned(29596,16), |
to_unsigned(29604,16), |
to_unsigned(29613,16), |
to_unsigned(29622,16), |
to_unsigned(29631,16), |
to_unsigned(29640,16), |
to_unsigned(29648,16), |
to_unsigned(29657,16), |
to_unsigned(29666,16), |
to_unsigned(29675,16), |
to_unsigned(29683,16), |
to_unsigned(29692,16), |
to_unsigned(29701,16), |
to_unsigned(29710,16), |
to_unsigned(29718,16), |
to_unsigned(29727,16), |
to_unsigned(29736,16), |
to_unsigned(29744,16), |
to_unsigned(29753,16), |
to_unsigned(29761,16), |
to_unsigned(29770,16), |
to_unsigned(29779,16), |
to_unsigned(29787,16), |
to_unsigned(29796,16), |
to_unsigned(29804,16), |
to_unsigned(29813,16), |
to_unsigned(29821,16), |
to_unsigned(29830,16), |
to_unsigned(29838,16), |
to_unsigned(29847,16), |
to_unsigned(29855,16), |
to_unsigned(29864,16), |
to_unsigned(29872,16), |
to_unsigned(29881,16), |
to_unsigned(29889,16), |
to_unsigned(29898,16), |
to_unsigned(29906,16), |
to_unsigned(29915,16), |
to_unsigned(29923,16), |
to_unsigned(29931,16), |
to_unsigned(29940,16), |
to_unsigned(29948,16), |
to_unsigned(29956,16), |
to_unsigned(29965,16), |
to_unsigned(29973,16), |
to_unsigned(29981,16), |
to_unsigned(29990,16), |
to_unsigned(29998,16), |
to_unsigned(30006,16), |
to_unsigned(30015,16), |
to_unsigned(30023,16), |
to_unsigned(30031,16), |
to_unsigned(30039,16), |
to_unsigned(30047,16), |
to_unsigned(30056,16), |
to_unsigned(30064,16), |
to_unsigned(30072,16), |
to_unsigned(30080,16), |
to_unsigned(30088,16), |
to_unsigned(30097,16), |
to_unsigned(30105,16), |
to_unsigned(30113,16), |
to_unsigned(30121,16), |
to_unsigned(30129,16), |
to_unsigned(30137,16), |
to_unsigned(30145,16), |
to_unsigned(30153,16), |
to_unsigned(30161,16), |
to_unsigned(30169,16), |
to_unsigned(30177,16), |
to_unsigned(30185,16), |
to_unsigned(30193,16), |
to_unsigned(30201,16), |
to_unsigned(30209,16), |
to_unsigned(30217,16), |
to_unsigned(30225,16), |
to_unsigned(30233,16), |
to_unsigned(30241,16), |
to_unsigned(30249,16), |
to_unsigned(30257,16), |
to_unsigned(30265,16), |
to_unsigned(30273,16), |
to_unsigned(30281,16), |
to_unsigned(30288,16), |
to_unsigned(30296,16), |
to_unsigned(30304,16), |
to_unsigned(30312,16), |
to_unsigned(30320,16), |
to_unsigned(30328,16), |
to_unsigned(30335,16), |
to_unsigned(30343,16), |
to_unsigned(30351,16), |
to_unsigned(30359,16), |
to_unsigned(30366,16), |
to_unsigned(30374,16), |
to_unsigned(30382,16), |
to_unsigned(30390,16), |
to_unsigned(30397,16), |
to_unsigned(30405,16), |
to_unsigned(30413,16), |
to_unsigned(30420,16), |
to_unsigned(30428,16), |
to_unsigned(30436,16), |
to_unsigned(30443,16), |
to_unsigned(30451,16), |
to_unsigned(30458,16), |
to_unsigned(30466,16), |
to_unsigned(30474,16), |
to_unsigned(30481,16), |
to_unsigned(30489,16), |
to_unsigned(30496,16), |
to_unsigned(30504,16), |
to_unsigned(30511,16), |
to_unsigned(30519,16), |
to_unsigned(30526,16), |
to_unsigned(30534,16), |
to_unsigned(30541,16), |
to_unsigned(30549,16), |
to_unsigned(30556,16), |
to_unsigned(30563,16), |
to_unsigned(30571,16), |
to_unsigned(30578,16), |
to_unsigned(30586,16), |
to_unsigned(30593,16), |
to_unsigned(30600,16), |
to_unsigned(30608,16), |
to_unsigned(30615,16), |
to_unsigned(30622,16), |
to_unsigned(30630,16), |
to_unsigned(30637,16), |
to_unsigned(30644,16), |
to_unsigned(30652,16), |
to_unsigned(30659,16), |
to_unsigned(30666,16), |
to_unsigned(30673,16), |
to_unsigned(30681,16), |
to_unsigned(30688,16), |
to_unsigned(30695,16), |
to_unsigned(30702,16), |
to_unsigned(30710,16), |
to_unsigned(30717,16), |
to_unsigned(30724,16), |
to_unsigned(30731,16), |
to_unsigned(30738,16), |
to_unsigned(30745,16), |
to_unsigned(30752,16), |
to_unsigned(30759,16), |
to_unsigned(30767,16), |
to_unsigned(30774,16), |
to_unsigned(30781,16), |
to_unsigned(30788,16), |
to_unsigned(30795,16), |
to_unsigned(30802,16), |
to_unsigned(30809,16), |
to_unsigned(30816,16), |
to_unsigned(30823,16), |
to_unsigned(30830,16), |
to_unsigned(30837,16), |
to_unsigned(30844,16), |
to_unsigned(30851,16), |
to_unsigned(30858,16), |
to_unsigned(30865,16), |
to_unsigned(30871,16), |
to_unsigned(30878,16), |
to_unsigned(30885,16), |
to_unsigned(30892,16), |
to_unsigned(30899,16), |
to_unsigned(30906,16), |
to_unsigned(30913,16), |
to_unsigned(30919,16), |
to_unsigned(30926,16), |
to_unsigned(30933,16), |
to_unsigned(30940,16), |
to_unsigned(30947,16), |
to_unsigned(30953,16), |
to_unsigned(30960,16), |
to_unsigned(30967,16), |
to_unsigned(30974,16), |
to_unsigned(30980,16), |
to_unsigned(30987,16), |
to_unsigned(30994,16), |
to_unsigned(31000,16), |
to_unsigned(31007,16), |
to_unsigned(31014,16), |
to_unsigned(31020,16), |
to_unsigned(31027,16), |
to_unsigned(31034,16), |
to_unsigned(31040,16), |
to_unsigned(31047,16), |
to_unsigned(31053,16), |
to_unsigned(31060,16), |
to_unsigned(31066,16), |
to_unsigned(31073,16), |
to_unsigned(31080,16), |
to_unsigned(31086,16), |
to_unsigned(31093,16), |
to_unsigned(31099,16), |
to_unsigned(31106,16), |
to_unsigned(31112,16), |
to_unsigned(31118,16), |
to_unsigned(31125,16), |
to_unsigned(31131,16), |
to_unsigned(31138,16), |
to_unsigned(31144,16), |
to_unsigned(31151,16), |
to_unsigned(31157,16), |
to_unsigned(31163,16), |
to_unsigned(31170,16), |
to_unsigned(31176,16), |
to_unsigned(31182,16), |
to_unsigned(31189,16), |
to_unsigned(31195,16), |
to_unsigned(31201,16), |
to_unsigned(31208,16), |
to_unsigned(31214,16), |
to_unsigned(31220,16), |
to_unsigned(31226,16), |
to_unsigned(31233,16), |
to_unsigned(31239,16), |
to_unsigned(31245,16), |
to_unsigned(31251,16), |
to_unsigned(31257,16), |
to_unsigned(31263,16), |
to_unsigned(31270,16), |
to_unsigned(31276,16), |
to_unsigned(31282,16), |
to_unsigned(31288,16), |
to_unsigned(31294,16), |
to_unsigned(31300,16), |
to_unsigned(31306,16), |
to_unsigned(31312,16), |
to_unsigned(31318,16), |
to_unsigned(31325,16), |
to_unsigned(31331,16), |
to_unsigned(31337,16), |
to_unsigned(31343,16), |
to_unsigned(31349,16), |
to_unsigned(31355,16), |
to_unsigned(31361,16), |
to_unsigned(31367,16), |
to_unsigned(31372,16), |
to_unsigned(31378,16), |
to_unsigned(31384,16), |
to_unsigned(31390,16), |
to_unsigned(31396,16), |
to_unsigned(31402,16), |
to_unsigned(31408,16), |
to_unsigned(31414,16), |
to_unsigned(31420,16), |
to_unsigned(31425,16), |
to_unsigned(31431,16), |
to_unsigned(31437,16), |
to_unsigned(31443,16), |
to_unsigned(31449,16), |
to_unsigned(31454,16), |
to_unsigned(31460,16), |
to_unsigned(31466,16), |
to_unsigned(31472,16), |
to_unsigned(31477,16), |
to_unsigned(31483,16), |
to_unsigned(31489,16), |
to_unsigned(31495,16), |
to_unsigned(31500,16), |
to_unsigned(31506,16), |
to_unsigned(31511,16), |
to_unsigned(31517,16), |
to_unsigned(31523,16), |
to_unsigned(31528,16), |
to_unsigned(31534,16), |
to_unsigned(31540,16), |
to_unsigned(31545,16), |
to_unsigned(31551,16), |
to_unsigned(31556,16), |
to_unsigned(31562,16), |
to_unsigned(31567,16), |
to_unsigned(31573,16), |
to_unsigned(31578,16), |
to_unsigned(31584,16), |
to_unsigned(31589,16), |
to_unsigned(31595,16), |
to_unsigned(31600,16), |
to_unsigned(31606,16), |
to_unsigned(31611,16), |
to_unsigned(31616,16), |
to_unsigned(31622,16), |
to_unsigned(31627,16), |
to_unsigned(31633,16), |
to_unsigned(31638,16), |
to_unsigned(31643,16), |
to_unsigned(31649,16), |
to_unsigned(31654,16), |
to_unsigned(31659,16), |
to_unsigned(31665,16), |
to_unsigned(31670,16), |
to_unsigned(31675,16), |
to_unsigned(31680,16), |
to_unsigned(31686,16), |
to_unsigned(31691,16), |
to_unsigned(31696,16), |
to_unsigned(31701,16), |
to_unsigned(31707,16), |
to_unsigned(31712,16), |
to_unsigned(31717,16), |
to_unsigned(31722,16), |
to_unsigned(31727,16), |
to_unsigned(31732,16), |
to_unsigned(31738,16), |
to_unsigned(31743,16), |
to_unsigned(31748,16), |
to_unsigned(31753,16), |
to_unsigned(31758,16), |
to_unsigned(31763,16), |
to_unsigned(31768,16), |
to_unsigned(31773,16), |
to_unsigned(31778,16), |
to_unsigned(31783,16), |
to_unsigned(31788,16), |
to_unsigned(31793,16), |
to_unsigned(31798,16), |
to_unsigned(31803,16), |
to_unsigned(31808,16), |
to_unsigned(31813,16), |
to_unsigned(31818,16), |
to_unsigned(31823,16), |
to_unsigned(31828,16), |
to_unsigned(31833,16), |
to_unsigned(31837,16), |
to_unsigned(31842,16), |
to_unsigned(31847,16), |
to_unsigned(31852,16), |
to_unsigned(31857,16), |
to_unsigned(31862,16), |
to_unsigned(31866,16), |
to_unsigned(31871,16), |
to_unsigned(31876,16), |
to_unsigned(31881,16), |
to_unsigned(31886,16), |
to_unsigned(31890,16), |
to_unsigned(31895,16), |
to_unsigned(31900,16), |
to_unsigned(31904,16), |
to_unsigned(31909,16), |
to_unsigned(31914,16), |
to_unsigned(31918,16), |
to_unsigned(31923,16), |
to_unsigned(31928,16), |
to_unsigned(31932,16), |
to_unsigned(31937,16), |
to_unsigned(31942,16), |
to_unsigned(31946,16), |
to_unsigned(31951,16), |
to_unsigned(31955,16), |
to_unsigned(31960,16), |
to_unsigned(31964,16), |
to_unsigned(31969,16), |
to_unsigned(31973,16), |
to_unsigned(31978,16), |
to_unsigned(31982,16), |
to_unsigned(31987,16), |
to_unsigned(31991,16), |
to_unsigned(31996,16), |
to_unsigned(32000,16), |
to_unsigned(32005,16), |
to_unsigned(32009,16), |
to_unsigned(32013,16), |
to_unsigned(32018,16), |
to_unsigned(32022,16), |
to_unsigned(32027,16), |
to_unsigned(32031,16), |
to_unsigned(32035,16), |
to_unsigned(32040,16), |
to_unsigned(32044,16), |
to_unsigned(32048,16), |
to_unsigned(32052,16), |
to_unsigned(32057,16), |
to_unsigned(32061,16), |
to_unsigned(32065,16), |
to_unsigned(32069,16), |
to_unsigned(32074,16), |
to_unsigned(32078,16), |
to_unsigned(32082,16), |
to_unsigned(32086,16), |
to_unsigned(32090,16), |
to_unsigned(32095,16), |
to_unsigned(32099,16), |
to_unsigned(32103,16), |
to_unsigned(32107,16), |
to_unsigned(32111,16), |
to_unsigned(32115,16), |
to_unsigned(32119,16), |
to_unsigned(32123,16), |
to_unsigned(32127,16), |
to_unsigned(32131,16), |
to_unsigned(32135,16), |
to_unsigned(32139,16), |
to_unsigned(32143,16), |
to_unsigned(32147,16), |
to_unsigned(32151,16), |
to_unsigned(32155,16), |
to_unsigned(32159,16), |
to_unsigned(32163,16), |
to_unsigned(32167,16), |
to_unsigned(32171,16), |
to_unsigned(32175,16), |
to_unsigned(32179,16), |
to_unsigned(32183,16), |
to_unsigned(32187,16), |
to_unsigned(32190,16), |
to_unsigned(32194,16), |
to_unsigned(32198,16), |
to_unsigned(32202,16), |
to_unsigned(32206,16), |
to_unsigned(32210,16), |
to_unsigned(32213,16), |
to_unsigned(32217,16), |
to_unsigned(32221,16), |
to_unsigned(32225,16), |
to_unsigned(32228,16), |
to_unsigned(32232,16), |
to_unsigned(32236,16), |
to_unsigned(32239,16), |
to_unsigned(32243,16), |
to_unsigned(32247,16), |
to_unsigned(32250,16), |
to_unsigned(32254,16), |
to_unsigned(32258,16), |
to_unsigned(32261,16), |
to_unsigned(32265,16), |
to_unsigned(32268,16), |
to_unsigned(32272,16), |
to_unsigned(32276,16), |
to_unsigned(32279,16), |
to_unsigned(32283,16), |
to_unsigned(32286,16), |
to_unsigned(32290,16), |
to_unsigned(32293,16), |
to_unsigned(32297,16), |
to_unsigned(32300,16), |
to_unsigned(32304,16), |
to_unsigned(32307,16), |
to_unsigned(32310,16), |
to_unsigned(32314,16), |
to_unsigned(32317,16), |
to_unsigned(32321,16), |
to_unsigned(32324,16), |
to_unsigned(32327,16), |
to_unsigned(32331,16), |
to_unsigned(32334,16), |
to_unsigned(32337,16), |
to_unsigned(32341,16), |
to_unsigned(32344,16), |
to_unsigned(32347,16), |
to_unsigned(32351,16), |
to_unsigned(32354,16), |
to_unsigned(32357,16), |
to_unsigned(32360,16), |
to_unsigned(32364,16), |
to_unsigned(32367,16), |
to_unsigned(32370,16), |
to_unsigned(32373,16), |
to_unsigned(32376,16), |
to_unsigned(32380,16), |
to_unsigned(32383,16), |
to_unsigned(32386,16), |
to_unsigned(32389,16), |
to_unsigned(32392,16), |
to_unsigned(32395,16), |
to_unsigned(32398,16), |
to_unsigned(32401,16), |
to_unsigned(32404,16), |
to_unsigned(32407,16), |
to_unsigned(32410,16), |
to_unsigned(32413,16), |
to_unsigned(32416,16), |
to_unsigned(32419,16), |
to_unsigned(32422,16), |
to_unsigned(32425,16), |
to_unsigned(32428,16), |
to_unsigned(32431,16), |
to_unsigned(32434,16), |
to_unsigned(32437,16), |
to_unsigned(32440,16), |
to_unsigned(32443,16), |
to_unsigned(32446,16), |
to_unsigned(32449,16), |
to_unsigned(32452,16), |
to_unsigned(32454,16), |
to_unsigned(32457,16), |
to_unsigned(32460,16), |
to_unsigned(32463,16), |
to_unsigned(32466,16), |
to_unsigned(32468,16), |
to_unsigned(32471,16), |
to_unsigned(32474,16), |
to_unsigned(32477,16), |
to_unsigned(32479,16), |
to_unsigned(32482,16), |
to_unsigned(32485,16), |
to_unsigned(32488,16), |
to_unsigned(32490,16), |
to_unsigned(32493,16), |
to_unsigned(32496,16), |
to_unsigned(32498,16), |
to_unsigned(32501,16), |
to_unsigned(32503,16), |
to_unsigned(32506,16), |
to_unsigned(32509,16), |
to_unsigned(32511,16), |
to_unsigned(32514,16), |
to_unsigned(32516,16), |
to_unsigned(32519,16), |
to_unsigned(32521,16), |
to_unsigned(32524,16), |
to_unsigned(32526,16), |
to_unsigned(32529,16), |
to_unsigned(32531,16), |
to_unsigned(32534,16), |
to_unsigned(32536,16), |
to_unsigned(32539,16), |
to_unsigned(32541,16), |
to_unsigned(32543,16), |
to_unsigned(32546,16), |
to_unsigned(32548,16), |
to_unsigned(32551,16), |
to_unsigned(32553,16), |
to_unsigned(32555,16), |
to_unsigned(32558,16), |
to_unsigned(32560,16), |
to_unsigned(32562,16), |
to_unsigned(32565,16), |
to_unsigned(32567,16), |
to_unsigned(32569,16), |
to_unsigned(32571,16), |
to_unsigned(32574,16), |
to_unsigned(32576,16), |
to_unsigned(32578,16), |
to_unsigned(32580,16), |
to_unsigned(32582,16), |
to_unsigned(32585,16), |
to_unsigned(32587,16), |
to_unsigned(32589,16), |
to_unsigned(32591,16), |
to_unsigned(32593,16), |
to_unsigned(32595,16), |
to_unsigned(32597,16), |
to_unsigned(32599,16), |
to_unsigned(32602,16), |
to_unsigned(32604,16), |
to_unsigned(32606,16), |
to_unsigned(32608,16), |
to_unsigned(32610,16), |
to_unsigned(32612,16), |
to_unsigned(32614,16), |
to_unsigned(32616,16), |
to_unsigned(32618,16), |
to_unsigned(32620,16), |
to_unsigned(32622,16), |
to_unsigned(32624,16), |
to_unsigned(32625,16), |
to_unsigned(32627,16), |
to_unsigned(32629,16), |
to_unsigned(32631,16), |
to_unsigned(32633,16), |
to_unsigned(32635,16), |
to_unsigned(32637,16), |
to_unsigned(32638,16), |
to_unsigned(32640,16), |
to_unsigned(32642,16), |
to_unsigned(32644,16), |
to_unsigned(32646,16), |
to_unsigned(32647,16), |
to_unsigned(32649,16), |
to_unsigned(32651,16), |
to_unsigned(32653,16), |
to_unsigned(32654,16), |
to_unsigned(32656,16), |
to_unsigned(32658,16), |
to_unsigned(32659,16), |
to_unsigned(32661,16), |
to_unsigned(32663,16), |
to_unsigned(32664,16), |
to_unsigned(32666,16), |
to_unsigned(32668,16), |
to_unsigned(32669,16), |
to_unsigned(32671,16), |
to_unsigned(32672,16), |
to_unsigned(32674,16), |
to_unsigned(32675,16), |
to_unsigned(32677,16), |
to_unsigned(32679,16), |
to_unsigned(32680,16), |
to_unsigned(32681,16), |
to_unsigned(32683,16), |
to_unsigned(32684,16), |
to_unsigned(32686,16), |
to_unsigned(32687,16), |
to_unsigned(32689,16), |
to_unsigned(32690,16), |
to_unsigned(32692,16), |
to_unsigned(32693,16), |
to_unsigned(32694,16), |
to_unsigned(32696,16), |
to_unsigned(32697,16), |
to_unsigned(32698,16), |
to_unsigned(32700,16), |
to_unsigned(32701,16), |
to_unsigned(32702,16), |
to_unsigned(32704,16), |
to_unsigned(32705,16), |
to_unsigned(32706,16), |
to_unsigned(32707,16), |
to_unsigned(32709,16), |
to_unsigned(32710,16), |
to_unsigned(32711,16), |
to_unsigned(32712,16), |
to_unsigned(32713,16), |
to_unsigned(32715,16), |
to_unsigned(32716,16), |
to_unsigned(32717,16), |
to_unsigned(32718,16), |
to_unsigned(32719,16), |
to_unsigned(32720,16), |
to_unsigned(32721,16), |
to_unsigned(32722,16), |
to_unsigned(32724,16), |
to_unsigned(32725,16), |
to_unsigned(32726,16), |
to_unsigned(32727,16), |
to_unsigned(32728,16), |
to_unsigned(32729,16), |
to_unsigned(32730,16), |
to_unsigned(32731,16), |
to_unsigned(32732,16), |
to_unsigned(32733,16), |
to_unsigned(32733,16), |
to_unsigned(32734,16), |
to_unsigned(32735,16), |
to_unsigned(32736,16), |
to_unsigned(32737,16), |
to_unsigned(32738,16), |
to_unsigned(32739,16), |
to_unsigned(32740,16), |
to_unsigned(32741,16), |
to_unsigned(32741,16), |
to_unsigned(32742,16), |
to_unsigned(32743,16), |
to_unsigned(32744,16), |
to_unsigned(32744,16), |
to_unsigned(32745,16), |
to_unsigned(32746,16), |
to_unsigned(32747,16), |
to_unsigned(32747,16), |
to_unsigned(32748,16), |
to_unsigned(32749,16), |
to_unsigned(32750,16), |
to_unsigned(32750,16), |
to_unsigned(32751,16), |
to_unsigned(32751,16), |
to_unsigned(32752,16), |
to_unsigned(32753,16), |
to_unsigned(32753,16), |
to_unsigned(32754,16), |
to_unsigned(32754,16), |
to_unsigned(32755,16), |
to_unsigned(32756,16), |
to_unsigned(32756,16), |
to_unsigned(32757,16), |
to_unsigned(32757,16), |
to_unsigned(32758,16), |
to_unsigned(32758,16), |
to_unsigned(32759,16), |
to_unsigned(32759,16), |
to_unsigned(32760,16), |
to_unsigned(32760,16), |
to_unsigned(32760,16), |
to_unsigned(32761,16), |
to_unsigned(32761,16), |
to_unsigned(32762,16), |
to_unsigned(32762,16), |
to_unsigned(32762,16), |
to_unsigned(32763,16), |
to_unsigned(32763,16), |
to_unsigned(32763,16), |
to_unsigned(32764,16), |
to_unsigned(32764,16), |
to_unsigned(32764,16), |
to_unsigned(32764,16), |
to_unsigned(32765,16), |
to_unsigned(32765,16), |
to_unsigned(32765,16), |
to_unsigned(32765,16), |
to_unsigned(32766,16), |
to_unsigned(32766,16), |
to_unsigned(32766,16), |
to_unsigned(32766,16), |
to_unsigned(32766,16), |
to_unsigned(32766,16), |
to_unsigned(32766,16), |
to_unsigned(32767,16), |
to_unsigned(32767,16), |
to_unsigned(32767,16), |
to_unsigned(32767,16), |
to_unsigned(32767,16), |
to_unsigned(32767,16), |
to_unsigned(32767,16), |
to_unsigned(32767,16) |
); |
|
|
-- Quarter sine lookup table |
type lut_65536_x_32_type is array(0 to 16383) of unsigned(31 downto 0); |
|
constant sine_lut_65536_x_32 : lut_65536_x_32_type := ( |
to_unsigned(0,32), |
to_unsigned(205887,32), |
to_unsigned(411775,32), |
to_unsigned(617662,32), |
to_unsigned(823550,32), |
to_unsigned(1029437,32), |
to_unsigned(1235324,32), |
to_unsigned(1441212,32), |
to_unsigned(1647099,32), |
to_unsigned(1852987,32), |
to_unsigned(2058874,32), |
to_unsigned(2264761,32), |
to_unsigned(2470648,32), |
to_unsigned(2676536,32), |
to_unsigned(2882423,32), |
to_unsigned(3088310,32), |
to_unsigned(3294197,32), |
to_unsigned(3500085,32), |
to_unsigned(3705972,32), |
to_unsigned(3911859,32), |
to_unsigned(4117746,32), |
to_unsigned(4323633,32), |
to_unsigned(4529520,32), |
to_unsigned(4735407,32), |
to_unsigned(4941294,32), |
to_unsigned(5147180,32), |
to_unsigned(5353067,32), |
to_unsigned(5558954,32), |
to_unsigned(5764841,32), |
to_unsigned(5970727,32), |
to_unsigned(6176614,32), |
to_unsigned(6382501,32), |
to_unsigned(6588387,32), |
to_unsigned(6794273,32), |
to_unsigned(7000160,32), |
to_unsigned(7206046,32), |
to_unsigned(7411932,32), |
to_unsigned(7617818,32), |
to_unsigned(7823705,32), |
to_unsigned(8029591,32), |
to_unsigned(8235476,32), |
to_unsigned(8441362,32), |
to_unsigned(8647248,32), |
to_unsigned(8853134,32), |
to_unsigned(9059019,32), |
to_unsigned(9264905,32), |
to_unsigned(9470790,32), |
to_unsigned(9676676,32), |
to_unsigned(9882561,32), |
to_unsigned(10088446,32), |
to_unsigned(10294331,32), |
to_unsigned(10500216,32), |
to_unsigned(10706101,32), |
to_unsigned(10911986,32), |
to_unsigned(11117871,32), |
to_unsigned(11323755,32), |
to_unsigned(11529640,32), |
to_unsigned(11735524,32), |
to_unsigned(11941409,32), |
to_unsigned(12147293,32), |
to_unsigned(12353177,32), |
to_unsigned(12559061,32), |
to_unsigned(12764945,32), |
to_unsigned(12970828,32), |
to_unsigned(13176712,32), |
to_unsigned(13382595,32), |
to_unsigned(13588479,32), |
to_unsigned(13794362,32), |
to_unsigned(14000245,32), |
to_unsigned(14206128,32), |
to_unsigned(14412011,32), |
to_unsigned(14617894,32), |
to_unsigned(14823776,32), |
to_unsigned(15029659,32), |
to_unsigned(15235541,32), |
to_unsigned(15441423,32), |
to_unsigned(15647305,32), |
to_unsigned(15853187,32), |
to_unsigned(16059069,32), |
to_unsigned(16264950,32), |
to_unsigned(16470832,32), |
to_unsigned(16676713,32), |
to_unsigned(16882594,32), |
to_unsigned(17088475,32), |
to_unsigned(17294356,32), |
to_unsigned(17500237,32), |
to_unsigned(17706117,32), |
to_unsigned(17911997,32), |
to_unsigned(18117878,32), |
to_unsigned(18323758,32), |
to_unsigned(18529638,32), |
to_unsigned(18735517,32), |
to_unsigned(18941397,32), |
to_unsigned(19147276,32), |
to_unsigned(19353155,32), |
to_unsigned(19559034,32), |
to_unsigned(19764913,32), |
to_unsigned(19970791,32), |
to_unsigned(20176670,32), |
to_unsigned(20382548,32), |
to_unsigned(20588426,32), |
to_unsigned(20794304,32), |
to_unsigned(21000182,32), |
to_unsigned(21206059,32), |
to_unsigned(21411936,32), |
to_unsigned(21617814,32), |
to_unsigned(21823690,32), |
to_unsigned(22029567,32), |
to_unsigned(22235444,32), |
to_unsigned(22441320,32), |
to_unsigned(22647196,32), |
to_unsigned(22853072,32), |
to_unsigned(23058947,32), |
to_unsigned(23264823,32), |
to_unsigned(23470698,32), |
to_unsigned(23676573,32), |
to_unsigned(23882448,32), |
to_unsigned(24088323,32), |
to_unsigned(24294197,32), |
to_unsigned(24500071,32), |
to_unsigned(24705945,32), |
to_unsigned(24911819,32), |
to_unsigned(25117692,32), |
to_unsigned(25323565,32), |
to_unsigned(25529438,32), |
to_unsigned(25735311,32), |
to_unsigned(25941183,32), |
to_unsigned(26147056,32), |
to_unsigned(26352928,32), |
to_unsigned(26558800,32), |
to_unsigned(26764671,32), |
to_unsigned(26970542,32), |
to_unsigned(27176413,32), |
to_unsigned(27382284,32), |
to_unsigned(27588155,32), |
to_unsigned(27794025,32), |
to_unsigned(27999895,32), |
to_unsigned(28205765,32), |
to_unsigned(28411634,32), |
to_unsigned(28617504,32), |
to_unsigned(28823373,32), |
to_unsigned(29029242,32), |
to_unsigned(29235110,32), |
to_unsigned(29440978,32), |
to_unsigned(29646846,32), |
to_unsigned(29852714,32), |
to_unsigned(30058581,32), |
to_unsigned(30264448,32), |
to_unsigned(30470315,32), |
to_unsigned(30676182,32), |
to_unsigned(30882048,32), |
to_unsigned(31087914,32), |
to_unsigned(31293780,32), |
to_unsigned(31499645,32), |
to_unsigned(31705510,32), |
to_unsigned(31911375,32), |
to_unsigned(32117239,32), |
to_unsigned(32323104,32), |
to_unsigned(32528968,32), |
to_unsigned(32734831,32), |
to_unsigned(32940695,32), |
to_unsigned(33146558,32), |
to_unsigned(33352420,32), |
to_unsigned(33558283,32), |
to_unsigned(33764145,32), |
to_unsigned(33970007,32), |
to_unsigned(34175868,32), |
to_unsigned(34381729,32), |
to_unsigned(34587590,32), |
to_unsigned(34793451,32), |
to_unsigned(34999311,32), |
to_unsigned(35205171,32), |
to_unsigned(35411031,32), |
to_unsigned(35616890,32), |
to_unsigned(35822749,32), |
to_unsigned(36028607,32), |
to_unsigned(36234466,32), |
to_unsigned(36440324,32), |
to_unsigned(36646181,32), |
to_unsigned(36852039,32), |
to_unsigned(37057895,32), |
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to_unsigned(2147481120,32), |
to_unsigned(2147481426,32), |
to_unsigned(2147481713,32), |
to_unsigned(2147481979,32), |
to_unsigned(2147482226,32), |
to_unsigned(2147482453,32), |
to_unsigned(2147482660,32), |
to_unsigned(2147482848,32), |
to_unsigned(2147483015,32), |
to_unsigned(2147483163,32), |
to_unsigned(2147483292,32), |
to_unsigned(2147483400,32), |
to_unsigned(2147483489,32), |
to_unsigned(2147483558,32), |
to_unsigned(2147483608,32), |
to_unsigned(2147483608,32) |
); |
|
end dds_sine_pack; |
|
package body dds_sine_pack is |
end dds_sine_pack; |
|
|
------------------------------------------------------------------------------- |
-- Digital Quadrature (2-phase) sine/cosine oscillator |
------------------------------------------------------------------------------- |
-- |
-- Author: John Clayton |
-- Update: Jan. 3, 2014 Wrote code and description. Tested in simulation, |
-- saw that there is amplitude creep, either growth |
-- or shrinkage over time. Applied rounding to |
-- mitigate this, with no satisfaction. Ended up |
-- using an "amplitude reset" technique mentioned in |
-- the book "Digital Signal Processing in VLSI." |
-- The inspiration for this module came from that |
-- book. |
-- |
-- Description |
------------------------------------------------------------------------------- |
-- This is a discrete time, discrete amplitude binary recursion oscillator. |
-- |
-- The sine and cosine outputs represent the projections of a rotating vector, |
-- or complex phasor if you like, along the real and imaginary axes of a |
-- 2-dimensional Cartesian coordinate space. The vector is rotated a fixed |
-- amount with each new sample. Is this just as clear as mud? |
-- |
-- Well, it does take some multipliers to implement the rotation matrix, but |
-- otherwise, it's a fairly quick implementation... |
-- |
-- The number of samples per cycle is given as a generic quantity, and the |
-- initial values for the vector are zero for sin_o, and +1 for cos_o. |
-- |
-- The numerical quantities are represented as signed 2's complement numbers, |
-- in Q1.(AMPL_BITS-1) notation. |
-- |
-- The frequency of the oscillator has been fixed at the lowest possible value. |
-- The intention is that by varying the sample rate, sine and cosine waves of |
-- different frequencies can be produced. |
-- |
-- For example, if the system clock is at 50 MHz, and SAMPLES_PER_CYCLE=1000, |
-- then it should be possible to create output at 50 kHz by setting the |
-- clk_en_i input to '1'. For lower frequencies, just provide a stream of |
-- clock enable pulses at the appropriate rate. |
-- |
|
library ieee; |
use ieee.std_logic_1164.all; |
use ieee.numeric_std.all; |
use ieee.math_real.all; |
|
library work; |
use work.convert_pack.all; |
|
entity quadrature_oscillator is |
generic( |
AMPL_BITS : natural := 16; |
AMPL_VALUE : natural := 31768; -- Set to some value below full scale. There is no saturation! |
|
SAMPLES_PER_CYCLE : natural := 5000 |
); |
port( |
clk_i : in std_logic; -- System clock |
rst_n_i : in std_logic; -- Low asserted reset |
clk_en_i : in std_logic; -- clock enable, determines sample rate |
|
-- Sine and Cosine outputs |
sin_o : out signed(AMPL_BITS-1 downto 0); |
cos_o : out signed(AMPL_BITS-1 downto 0) |
); |
end quadrature_oscillator; |
|
architecture beh of quadrature_oscillator is |
|
-- Constants |
constant alpha : real := MATH_2_PI/real(SAMPLES_PER_CYCLE); |
constant CA : real := COS(alpha); |
constant SA : real := SIN(alpha); |
constant FULLSCALE : real := 2.0**real(AMPL_BITS-1); |
constant ROUNDVAL : integer := integer(FULLSCALE); |
constant C_INT : integer := integer(CA * FULLSCALE); |
constant S_INT : integer := integer(SA * FULLSCALE); |
constant C_VECT : signed(AMPL_BITS-1 downto 0) := to_signed(C_INT,AMPL_BITS); |
constant S_VECT : signed(AMPL_BITS-1 downto 0) := to_signed(S_INT,AMPL_BITS); |
|
-- Signals |
signal sine : signed(AMPL_BITS-1 downto 0); |
signal cosine : signed(AMPL_BITS-1 downto 0); |
signal s_sop : signed(2*AMPL_BITS-1 downto 0); |
signal c_sop : signed(2*AMPL_BITS-1 downto 0); |
signal s_rnd : signed(2*AMPL_BITS-1 downto 0); |
signal c_rnd : signed(2*AMPL_BITS-1 downto 0); |
signal last_sine_sign : std_logic; |
|
begin |
|
-- Calculate the sum of products, which is a vector twice as long, with two adjacent sign bits |
s_sop <= S_VECT*cosine + C_VECT*sine; |
c_sop <= C_VECT*cosine - S_VECT*sine; |
-- Get rid of the duplicated sign bit |
-- These signals were named "_rnd" because rounding was tried here... |
-- Alas, although the rounding itself seemed to work, the amplitude decayed anyway. |
-- So, I pulled out the rounding, but kept the names. |
-- To implement rounding, add ROUNDVAL to these. |
s_rnd <= (s_sop(2*AMPL_BITS-2 downto 0) & '0'); |
c_rnd <= (c_sop(2*AMPL_BITS-2 downto 0) & '0'); |
|
process (clk_i, rst_n_i) |
begin |
if (rst_n_i = '0') then |
sine <= (others=>'0'); |
last_sine_sign <= '0'; |
cosine <= to_signed(AMPL_VALUE,cosine'length); |
elsif (clk_i'event and clk_i = '1') then |
if (clk_en_i = '1') then |
sine <= s_rnd(2*AMPL_BITS-1 downto AMPL_BITS); -- select the upper half |
cosine <= c_rnd(2*AMPL_BITS-1 downto AMPL_BITS); -- select the upper half |
end if; |
-- Prevent amplitude creep by resetting the cosine component at the |
-- positive zero crossing of the sine signal. |
if s_rnd(2*AMPL_BITS-1)='0' and sine(sine'length-1)='1' then |
cosine <= to_signed(AMPL_VALUE,cosine'length); |
end if; |
|
end if; |
end process; |
|
sin_o <= sine; |
cos_o <= cosine; |
|
end beh; |
|
------------------------------------------------------------------------------- |
-- Sinewave Generator Direct Digital Synthesizer (DDS) method |
------------------------------------------------------------------------------- |
-- |
-- Author: John Clayton |
-- Update: Oct. 15, 2013 Copied code from dds_sine to make this module. |
-- |
-- Description |
------------------------------------------------------------------------------- |
-- This is a direct digital synthesizer module, which uses a 1/4 wave lookup |
-- to produce sinewave samples. This module is the same as "dds_sine" except |
-- that this module uses an internal lookup table instead of an external one. |
-- |
|
library ieee; |
use ieee.std_logic_1164.all; |
use ieee.numeric_std.all; |
|
library work; |
use work.convert_pack.all; |
use work.dds_sine_pack.all; |
|
entity sine_generator_dds is |
generic( |
PHI_BITS : natural := 24; -- Bits in phase accumulator, must be >= PHASE_BITS |
AMPL_BITS : natural := 16; |
PHASE_BITS : natural := 10 |
); |
port( |
clk_i : in std_logic; |
rst_n_i : in std_logic; |
clk_en_i : in std_logic; |
|
-- Frequency Tuning Word input |
ftw_i : in unsigned(PHI_BITS-1 downto 0); |
|
-- Outputs |
accum_o : out unsigned(PHI_BITS-1 downto 0); |
sine_o : out signed(AMPL_BITS-1 downto 0) |
); |
end sine_generator_dds; |
|
architecture beh of sine_generator_dds is |
|
-- Constants |
constant Q_PHASE_BITS : integer := PHASE_BITS-2; -- Quarter phase takes two bits less to represent |
constant Q_PHASE_LUT_BITS : integer := PHASE_BITS-2; -- Quarter phase takes two bits less to represent |
|
-- Signals |
signal accum : unsigned(PHI_BITS-1 downto 0); |
signal lut_val : unsigned(AMPL_BITS-1 downto 0); |
signal lut_val_neg : unsigned(AMPL_BITS-1 downto 0); |
signal q_phase : unsigned(Q_PHASE_BITS-1 downto 0); |
signal q_phase_neg : unsigned(Q_PHASE_BITS-1 downto 0); |
signal phase_value : unsigned(Q_PHASE_BITS-1 downto 0); |
signal lut_adr : unsigned(Q_PHASE_LUT_BITS-1 downto 0); |
|
begin |
|
q_phase <= u_resize(u_resize_l(accum,PHASE_BITS),q_phase'length); -- Discard the fractional portion |
q_phase_neg <= (not q_phase)+1; |
|
process (clk_i, rst_n_i) |
begin |
if (rst_n_i = '0') then |
accum <= (others=>'0'); |
elsif (clk_i'event and clk_i = '1') then |
if (clk_en_i = '1') then |
accum <= accum + ftw_i; |
end if; |
end if; |
end process; |
|
phase_value <= q_phase when accum(accum'length-2)='0' else q_phase_neg; |
lut_adr <= u_resize_l(phase_value,lut_adr'length); |
lut_val <= u_resize_l(sine_lut_65536_x_32(to_integer(lut_adr)),lut_val'length); |
lut_val_neg <= (not lut_val) + 1; |
sine_o <= signed(lut_val) when accum(accum'length-1)='0' else signed(lut_val_neg); |
accum_o <= accum; |
|
end beh; |
|
|
------------------------------------------------------------------------------- |
-- Direct Digital Synthesizer Power of 2 Length Sinewave Look Up Table module |
------------------------------------------------------------------------------- |
-- |
-- Author: John Clayton |
-- Update: Sep. 5, 2013 Copied code from dds_sine_non_power_of_two to make |
-- this module. |
-- |
-- Description |
------------------------------------------------------------------------------- |
-- This is a direct digital synthesizer module, which uses a 1/4 wave lookup |
-- to produce sinewave samples. An external look up table provides the |
-- sinewave samples to be used. The lookup table must be 2**(PHASE_BITS-2) |
-- entries long. |
-- |
-- An address bus is provided for indexing into the look up table, and the |
-- response data is input via the lut_dat_i bus. |
-- |
|
library ieee; |
use ieee.std_logic_1164.all; |
use ieee.numeric_std.all; |
|
library work; |
use work.convert_pack.all; |
|
entity dds_sine is |
generic( |
PHI_BITS : natural := 24; -- Bits in phase accumulator, must be >= PHASE_BITS |
AMPL_BITS : natural := 16; |
PHASE_BITS : natural := 10 |
); |
port( |
clk_i : in std_logic; |
rst_n_i : in std_logic; |
clk_en_i : in std_logic; |
|
-- Look Up Table interface |
lut_adr_o : out unsigned(PHASE_BITS-3 downto 0); -- Quarter wave LUT |
lut_dat_i : in unsigned(AMPL_BITS-1 downto 0); |
|
-- Frequency Tuning Word input |
ftw_i : in unsigned(PHI_BITS-1 downto 0); |
|
-- Outputs |
accum_o : out unsigned(PHI_BITS-1 downto 0); |
sine_o : out signed(AMPL_BITS-1 downto 0) |
); |
end dds_sine; |
|
architecture beh of dds_sine is |
|
-- Constants |
constant Q_PHASE_BITS : integer := PHASE_BITS-2; -- Quarter phase takes two bits less to represent |
|
-- Signals |
signal accum : unsigned(PHI_BITS-1 downto 0); |
signal lut_out : unsigned(AMPL_BITS-1 downto 0); |
signal lut_out_neg : unsigned(AMPL_BITS-1 downto 0); |
signal q_phase : unsigned(Q_PHASE_BITS-1 downto 0); |
signal q_phase_neg : unsigned(Q_PHASE_BITS-1 downto 0); |
|
begin |
|
q_phase <= u_resize(u_resize_l(accum,PHASE_BITS),q_phase'length); -- Discard the fractional portion |
q_phase_neg <= (not q_phase)+1; |
|
process (clk_i, rst_n_i) |
begin |
if (rst_n_i = '0') then |
accum <= (others=>'0'); |
elsif (clk_i'event and clk_i = '1') then |
if (clk_en_i = '1') then |
accum <= accum + ftw_i; |
end if; |
end if; |
end process; |
|
lut_adr_o <= q_phase when accum(accum'length-2)='0' else q_phase_neg; |
lut_out <= lut_dat_i; |
lut_out_neg <= (not lut_out) + 1; |
sine_o <= signed(lut_out) when accum(accum'length-1)='0' else signed(lut_out_neg); |
accum_o <= accum; |
|
end beh; |
|
|
------------------------------------------------------------------------------- |
-- Direct Digital Synthesizer Arbitrary Length Sinewave Look Up Table module |
------------------------------------------------------------------------------- |
-- |
-- Author: John Clayton |
-- Update: Jan. 24, 2013 Modified Matlab script "sine_arbitrary_length_lut_gen" |
-- to produce VHDL output which uses the "unsigned" type |
-- from ieee.numeric_std library. |
-- Jan. 26, 2013 Rewrote accumulator folding logic. Added saturation |
-- check to avoid indices beyond the end of the lookup |
-- table. |
-- Sep. 5, 2013 Restructured the module to use external look up |
-- tables. Created generics for AMPL_BITS, PHASE_LENGTH |
-- and PHASE_BITS. |
-- |
-- Description |
------------------------------------------------------------------------------- |
-- This is a direct digital synthesizer module, which uses a 1/4 wave lookup |
-- to produce waveform samples. An external look up table provides the |
-- sinewave samples to be used. The lookup table can be any length, being |
-- one quarter of PHASE_LENGTH entries long. |
-- |
-- An address bus is provided for indexing into the look up table, and the |
-- response data is input via the lut_dat_i bus. |
-- |
|
library ieee; |
use ieee.std_logic_1164.all; |
use ieee.numeric_std.all; |
|
library work; |
use work.convert_pack.all; |
|
entity dds_sine_non_power_of_two is |
generic( |
PHI_BITS : natural := 24; -- Bits in phase accumulator, must be >= PHASE_BITS |
AMPL_BITS : natural := 16; |
PHASE_LENGTH : natural := 1024; |
PHASE_BITS : natural := 10 |
); |
port( |
clk_i : in std_logic; |
rst_n_i : in std_logic; |
clk_en_i : in std_logic; |
|
-- Look Up Table interface |
lut_adr_o : out unsigned(PHASE_BITS-3 downto 0); -- Quarter wave LUT |
lut_dat_i : in unsigned(AMPL_BITS-1 downto 0); |
|
-- Frequency Tuning Word input |
ftw_i : in unsigned(PHI_BITS-1 downto 0); |
|
-- Outputs |
accum_o : out unsigned(PHI_BITS-1 downto 0); |
sine_o : out signed(AMPL_BITS-1 downto 0) |
); |
end dds_sine_non_power_of_two; |
|
architecture beh of dds_sine_non_power_of_two is |
|
constant FRAC_BITS : natural := PHI_BITS - PHASE_BITS; |
constant Q_PHASE_BITS : integer := PHASE_BITS-2; -- Quarter phase takes two bits less to represent |
constant Q_LENGTH : unsigned(Q_PHASE_BITS-1 downto 0) := to_unsigned(PHASE_LENGTH/4,Q_PHASE_BITS); -- Quadrant Length |
constant Q_THRESH : unsigned(PHI_BITS-1 downto 0) := to_unsigned(2**FRAC_BITS*PHASE_LENGTH/4,PHI_BITS); -- Quadrant Length |
|
signal accum : unsigned(PHI_BITS-1 downto 0); |
signal q_accum : unsigned(PHI_BITS-1 downto 0); |
signal q_accum_next : unsigned(PHI_BITS-1 downto 0); |
signal accum_incr : unsigned(PHI_BITS-1 downto 0); |
signal accum_folded : unsigned(PHI_BITS-1 downto 0); |
signal lut_out : unsigned(AMPL_BITS-1 downto 0); |
signal lut_out_neg : unsigned(AMPL_BITS-1 downto 0); |
|
signal q_phase : unsigned(Q_PHASE_BITS-1 downto 0); |
signal q_phase_sat : unsigned(Q_PHASE_BITS-1 downto 0); |
signal q_count : unsigned(1 downto 0); |
signal q_count_r1 : unsigned(1 downto 0); |
|
begin |
|
accum_incr <= unsigned(ftw_i); |
q_accum_next <= q_accum + accum_incr; |
accum_folded <= q_accum when q_count(0)='0' else |
Q_THRESH - q_accum; |
q_phase <= u_resize(u_resize_l(accum_folded,PHASE_BITS),q_phase'length); -- Discard the fractional portion |
|
process (clk_i, rst_n_i) |
begin |
if (rst_n_i = '0') then |
accum <= (others=>'0'); |
q_accum <= (others=>'0'); |
q_count <= (others=>'0'); |
q_count_r1 <= (others=>'0'); |
q_phase_sat <= (others=>'0'); |
elsif (clk_i'event and clk_i = '1') then |
if (clk_en_i = '1') then |
if (q_accum_next > Q_THRESH) then |
q_accum <= q_accum_next - Q_THRESH; |
q_count <= q_count+1; |
if (q_count="11") then |
accum <= (others=>'0'); |
else |
accum <= accum + Q_THRESH; |
end if; |
else |
q_accum <= q_accum_next; |
end if; |
|
-- Delayed q_count, to match delayed q_phase |
q_count_r1 <= q_count; |
-- Saturate the quarter phase signal, to avoid overflows when looking up sine values |
if (q_phase>=(PHASE_LENGTH/4)) then |
q_phase_sat <= to_unsigned(PHASE_LENGTH/4-1,q_phase_sat'length); |
else |
q_phase_sat <= q_phase; |
end if; |
end if; |
end if; |
end process; |
|
lut_adr_o <= q_phase_sat; |
lut_out <= lut_dat_i; |
lut_out_neg <= (not lut_out) + 1; |
sine_o <= signed(lut_out_neg) when q_count_r1(1) = '1' else signed(lut_out); |
accum_o <= accum+q_accum; |
|
end beh; |
|
------------------------------------------------------------------------------- |
-- Direct Digital Synthesizer Arbitrary Waveform Look Up Table module |
------------------------------------------------------------------------------- |
-- |
-- Author: John Clayton |
-- Update: Sep. 5, 2013 Copied code from dds_sine to make this module. |
-- |
-- Description |
------------------------------------------------------------------------------- |
-- This is a direct digital synthesizer module, which uses a full wave lookup |
-- to produce waveform samples. The lookup table is external. |
-- The lookup table must be 2**PHASE_BITS entries long. |
-- |
-- An address bus is provided for indexing into the look up table, and the |
-- response data is input via the lut_dat_i bus. |
-- |
|
library ieee; |
use ieee.std_logic_1164.all; |
use ieee.numeric_std.all; |
|
library work; |
use work.convert_pack.all; |
|
entity dds_arb is |
generic( |
PHI_BITS : natural := 24; -- Bits in phase accumulator, must be >= PHASE_BITS |
AMPL_BITS : natural := 16; |
PHASE_BITS : natural := 10 |
); |
port( |
clk_i : in std_logic; |
rst_n_i : in std_logic; |
clk_en_i : in std_logic; |
|
-- Look Up Table interface |
lut_adr_o : out unsigned(PHASE_BITS-1 downto 0); -- Full wave LUT |
lut_dat_i : in unsigned(AMPL_BITS-1 downto 0); |
|
-- Frequency Tuning Word input |
ftw_i : in unsigned(PHI_BITS-1 downto 0); |
|
-- Outputs |
accum_o : out unsigned(PHI_BITS-1 downto 0); |
arb_o : out signed(AMPL_BITS-1 downto 0) |
); |
end dds_arb; |
|
architecture beh of dds_arb is |
|
-- Constants |
constant Q_PHASE_BITS : integer := PHASE_BITS-2; -- Quarter phase takes two bits less to represent |
|
-- Signals |
signal accum : unsigned(PHI_BITS-1 downto 0); |
|
begin |
|
process (clk_i, rst_n_i) |
begin |
if (rst_n_i = '0') then |
accum <= (others=>'0'); |
elsif (clk_i'event and clk_i = '1') then |
if (clk_en_i = '1') then |
accum <= accum + ftw_i; |
end if; |
end if; |
end process; |
|
lut_adr_o <= u_resize_l(accum,PHASE_BITS); -- Discard the fractional portion |
accum_o <= accum; |
arb_o <= signed(lut_dat_i); |
|
end beh; |
|
/README.txt
1,0 → 5,20783
The Quadrature Oscillator generates fixed frequency complex harmonic signals with minimal hardware consumption. |
|
The Quadrature Oscillator is given as one module in the VHDL package file "dds_sine_pack.vhd" |
Because there is a very long sinewave lookup table inside the "dds_sine_pack.vhd" file, the entity |
for the Quadrature Oscillator starts around line 20000. |
/source_new_cordic_pack.zip
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