diff options
Diffstat (limited to 'gr-dtv/lib/dvbs2/dvbs2_physical_cc_impl.cc')
| -rw-r--r-- | gr-dtv/lib/dvbs2/dvbs2_physical_cc_impl.cc | 872 |
1 files changed, 811 insertions, 61 deletions
diff --git a/gr-dtv/lib/dvbs2/dvbs2_physical_cc_impl.cc b/gr-dtv/lib/dvbs2/dvbs2_physical_cc_impl.cc index 4a0472a5c1..4f38581e5b 100644 --- a/gr-dtv/lib/dvbs2/dvbs2_physical_cc_impl.cc +++ b/gr-dtv/lib/dvbs2/dvbs2_physical_cc_impl.cc @@ -1,6 +1,6 @@ /* -*- c++ -*- */ /* - * Copyright 2015 Free Software Foundation, Inc. + * Copyright 2015,2016 Free Software Foundation, Inc. * * This is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by @@ -47,14 +47,32 @@ namespace gr { int type, modcod; double r0 = 1.0; + signal_constellation = constellation; modcod = 0; if (framesize == FECFRAME_NORMAL) { frame_size = FRAME_SIZE_NORMAL; type = 0; + if (rate == C2_9_VLSNR) { + frame_size = (FRAME_SIZE_NORMAL - NORMAL_PUNCTURING) + (EXTRA_PILOT_SYMBOLS_SET1 * 2); + type = 1; /* force pilots on for VL-SNR */ + } } - else { + + else if (framesize == FECFRAME_SHORT) { frame_size = FRAME_SIZE_SHORT; type = 2; + if (rate == C1_5_VLSNR_SF2 || rate == C11_45_VLSNR_SF2) { + frame_size = ((FRAME_SIZE_SHORT - SHORT_PUNCTURING_SET1) * 2) + EXTRA_PILOT_SYMBOLS_SET1; + type = 1; /* force pilots on for VL-SNR */ + } + if (rate == C1_5_VLSNR || rate == C4_15_VLSNR || rate == C1_3_VLSNR) { + frame_size = (FRAME_SIZE_SHORT - SHORT_PUNCTURING_SET2) + EXTRA_PILOT_SYMBOLS_SET2; + type = 1; /* force pilots on for VL-SNR */ + } + } + else { + frame_size = FRAME_SIZE_MEDIUM - MEDIUM_PUNCTURING + EXTRA_PILOT_SYMBOLS_SET1; + type = 1; /* force pilots on for VL-SNR */ } pilot_mode = pilots; @@ -68,6 +86,49 @@ namespace gr { } gold_code = goldcode; + vlsnr_set = VLSNR_OFF; + switch (rate) { + case C2_9_VLSNR: + vlsnr_header = 0; + vlsnr_set = VLSNR_SET1; + break; + case C1_5_MEDIUM: + vlsnr_header = 1; + vlsnr_set = VLSNR_SET1; + break; + case C11_45_MEDIUM: + vlsnr_header = 2; + vlsnr_set = VLSNR_SET1; + break; + case C1_3_MEDIUM: + vlsnr_header = 3; + vlsnr_set = VLSNR_SET1; + break; + case C1_5_VLSNR_SF2: + vlsnr_header = 4; + vlsnr_set = VLSNR_SET1; + break; + case C11_45_VLSNR_SF2: + vlsnr_header = 5; + vlsnr_set = VLSNR_SET1; + break; + case C1_5_VLSNR: + vlsnr_header = 9; + vlsnr_set = VLSNR_SET2; + break; + case C4_15_VLSNR: + vlsnr_header = 10; + vlsnr_set = VLSNR_SET2; + break; + case C1_3_VLSNR: + vlsnr_header = 11; + vlsnr_set = VLSNR_SET2; + break; + default: + vlsnr_header = 12; + break; + } + m_bpsk[0][0] = gr_complex((r0 * cos(M_PI / 4.0)), (r0 * sin(M_PI / 4.0))); m_bpsk[0][1] = gr_complex((r0 * cos(5.0 * M_PI / 4.0)), (r0 * sin(5.0 * M_PI / 4.0))); m_bpsk[1][0] = gr_complex((r0 * cos(5.0 * M_PI / 4.0)), (r0 * sin(M_PI / 4.0))); @@ -80,6 +141,46 @@ namespace gr { m_zero = gr_complex(0.0, 0.0); // Mode and code rate + if (constellation == MOD_BPSK) { + slots = (frame_size / 1) / 90; + pilot_symbols = (slots / 16) * 36; + if (!(slots % 16)) { + pilot_symbols -= 36; + } + switch (rate) { + case C1_5_MEDIUM: + case C11_45_MEDIUM: + case C1_3_MEDIUM: + modcod = 128; + break; + case C1_5_VLSNR: + case C4_15_VLSNR: + case C1_3_VLSNR: + modcod = 130; + break; + default: + modcod = 0; + break; + } + } + + if (constellation == MOD_BPSK_SF2) { + slots = (frame_size / 1) / 90; + pilot_symbols = (slots / 16) * 36; + if (!(slots % 16)) { + pilot_symbols -= 36; + } + switch (rate) { + case C1_5_VLSNR_SF2: + case C11_45_VLSNR_SF2: + modcod = 128; + break; + default: + modcod = 0; + break; + } + } + if (constellation == MOD_QPSK) { slots = (frame_size / 2) / 90; pilot_symbols = (slots / 16) * 36; @@ -87,6 +188,9 @@ namespace gr { pilot_symbols -= 36; } switch (rate) { + case C2_9_VLSNR: + modcod = 128; + break; case C1_4: modcod = 1; break; @@ -506,7 +610,6 @@ namespace gr { } // Now create the PL header. - int b[90]; // Add the sync sequence SOF for (int i = 0; i < 26; i++) { b[i] = ph_sync_seq[i]; @@ -516,23 +619,46 @@ namespace gr { // BPSK modulate and create the header for (int i = 0; i < 26; i++) { - m_pl[i] = m_bpsk[i & 1][b[i]]; + m_pl[i] = m_bpsk[i & 1][b[i]]; } if (modcod & 0x80) { for (int i = 26; i < 90; i++) { - m_pl[i] = m_bpsk[(i & 1) + 2][b[i]]; + m_pl[i] = m_bpsk[(i & 1) + 2][b[i]]; } } else { for (int i = 26; i < 90; i++) { - m_pl[i] = m_bpsk[i & 1][b[i]]; + m_pl[i] = m_bpsk[i & 1][b[i]]; } } + + // Create the VL-SNR header. + // Add leading zeroes + for (int i = 0; i < 2; i++) { + b[i] = 0; + } + for (int i = 2; i < 898; i++) { + b[i] = ph_vlsnr_seq[vlsnr_header][i - 2]; + } + // Add trailing zeroes + for (int i = 898; i < VLSNR_HEADER_LENGTH; i++) { + b[i] = 0; + } + // BPSK modulate and create the VL-SNR header + for (int i = 0; i < VLSNR_HEADER_LENGTH; i++) { + m_vlsnr_header[i] = m_bpsk[i & 1][b[i]]; + } + build_symbol_scrambler_table(); if (!pilot_mode) { pilot_symbols = 0; } - set_output_multiple((((slots * 90) + 90) + pilot_symbols) * 2); + if (vlsnr_set == VLSNR_OFF) { + set_output_multiple((((slots * 90) + 90) + pilot_symbols) * 2); + } + else { + set_output_multiple((((slots * 90) + 90) + (pilot_symbols + 36) + VLSNR_HEADER_LENGTH) * 2); + } } /* @@ -545,7 +671,15 @@ namespace gr { void dvbs2_physical_cc_impl::forecast (int noutput_items, gr_vector_int &ninput_items_required) { - ninput_items_required[0] = (noutput_items / ((((slots * 90) + 90) + pilot_symbols) * 2)) * (slots * 90); + if (vlsnr_set == VLSNR_OFF) { + ninput_items_required[0] = (noutput_items / ((((slots * 90) + 90) + pilot_symbols) * 2)) * (slots * 90); + } + else if (vlsnr_set == VLSNR_SET1) { + ninput_items_required[0] = (noutput_items / ((((slots * 90) + 90) + (pilot_symbols + 36) + VLSNR_HEADER_LENGTH) * 2)) * ((slots * 90) - EXTRA_PILOT_SYMBOLS_SET1); + } + else { + ninput_items_required[0] = (noutput_items / ((((slots * 90) + 90) + (pilot_symbols + 36) + VLSNR_HEADER_LENGTH) * 2)) * ((slots * 90) - EXTRA_PILOT_SYMBOLS_SET2); + } } void @@ -595,7 +729,7 @@ namespace gr { unsigned char code; if (modcod & 0x80) { - code = modcod | type; + code = modcod | (type & 0x1); } else { code = (modcod << 2) | type; @@ -673,42 +807,84 @@ namespace gr { gr_complex *out = (gr_complex *) output_items[0]; int consumed = 0; int produced = 0; - int slot_count = 0; - int n; + int slot_count, n; + int group; + int symbols = 0; gr_complex tempin, tempout; - for (int i = 0; i < noutput_items / 2; i += (((slots * 90) + 90) + pilot_symbols)) { - n = 0; - for (int plh = 0; plh < 90; plh++) { - out[produced++] = m_pl[plh]; - out[produced++] = m_zero; - } - for (int j = 0; j < slots; j++) { - for (int k = 0; k < 90; k++) { - tempin = in[consumed++]; - switch (m_cscram[n++]) { - case 0: - tempout = tempin; - break; - case 1: - tempout = gr_complex(-tempin.imag(), tempin.real()); - break; - case 2: - tempout = -tempin; - break; - case 3: - tempout = gr_complex( tempin.imag(), -tempin.real()); - break; + if (vlsnr_set == VLSNR_OFF) { + for (int i = 0; i < noutput_items / 2; i += (((slots * 90) + 90) + pilot_symbols)) { + n = 0; + slot_count = 0; + for (int plh = 0; plh < 90; plh++) { + out[produced++] = m_pl[plh]; + out[produced++] = m_zero; + } + for (int j = 0; j < slots; j++) { + for (int k = 0; k < 90; k++) { + tempin = in[consumed++]; + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = gr_complex(-tempin.imag(), tempin.real()); + break; + case 2: + tempout = -tempin; + break; + case 3: + tempout = gr_complex( tempin.imag(), -tempin.real()); + break; + } + out[produced++] = tempout; + out[produced++] = m_zero; } - out[produced++] = tempout; + slot_count = (slot_count + 1) % 16; + if ((slot_count == 0) && (j < slots - 1)) { + if (pilot_mode) { + // Add pilots if needed + for (int p = 0; p < 36; p++) { + tempin = m_bpsk[0][0]; + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = gr_complex(-tempin.imag(), tempin.real()); + break; + case 2: + tempout = -tempin; + break; + case 3: + tempout = gr_complex( tempin.imag(), -tempin.real()); + break; + } + out[produced++] = tempout; + out[produced++] = m_zero; + } + } + } + } + } + } + else if (vlsnr_set == VLSNR_SET1) { + for (int i = 0; i < noutput_items / 2; i += (((slots * 90) + 90) + pilot_symbols + VLSNR_HEADER_LENGTH + 36)) { + n = 0; + slot_count = 10; + group = 0; + for (int plh = 0; plh < 90; plh++) { + out[produced++] = m_pl[plh]; + out[produced++] = m_zero; + } + for (int vlh = 0; vlh < VLSNR_HEADER_LENGTH; vlh++) { + out[produced++] = m_vlsnr_header[vlh]; out[produced++] = m_zero; } - slot_count = (slot_count + 1) % 16; - if ((slot_count == 0) && (j < slots - 1)) { - if (pilot_mode) { - // Add pilots if needed - for (int p = 0; p < 36; p++) { - tempin = m_bpsk[0][0]; + for (int j = 0; j < slots; j++) { + for (int k = 0; k < 90; k++) { + tempin = in[consumed++]; + if (signal_constellation == MOD_QPSK) { switch (m_cscram[n++]) { case 0: tempout = tempin; @@ -719,12 +895,332 @@ namespace gr { case 2: tempout = -tempin; break; - case 03: + case 3: tempout = gr_complex( tempin.imag(), -tempin.real()); break; } - out[produced++] = tempout; - out[produced++] = m_zero; + } + else { + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = -tempin; + break; + case 2: + tempout = tempin; + break; + case 3: + tempout = -tempin; + break; + } + } + out[produced++] = tempout; + out[produced++] = m_zero; + symbols++; + if (group <= 18 && symbols == 703) { + for (int p = 0; p < 34; p++) { + tempin = m_bpsk[0][0]; + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = gr_complex(-tempin.imag(), tempin.real()); + break; + case 2: + tempout = -tempin; + break; + case 3: + tempout = gr_complex( tempin.imag(), -tempin.real()); + break; + } + out[produced++] = tempout; + out[produced++] = m_zero; + } + for (int x = (k + 1 + 34) - 90; x < 90; x++) { + tempin = in[consumed++]; + if (signal_constellation == MOD_QPSK) { + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = gr_complex(-tempin.imag(), tempin.real()); + break; + case 2: + tempout = -tempin; + break; + case 3: + tempout = gr_complex( tempin.imag(), -tempin.real()); + break; + } + } + else { + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = -tempin; + break; + case 2: + tempout = tempin; + break; + case 3: + tempout = -tempin; + break; + } + } + out[produced++] = tempout; + out[produced++] = m_zero; + symbols++; + } + slot_count = (slot_count + 1) % 16; + j++; + break; + } + else if ((group > 18 && group <= 21) && symbols == 702) { + for (int p = 0; p < 36; p++) { + tempin = m_bpsk[0][0]; + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = gr_complex(-tempin.imag(), tempin.real()); + break; + case 2: + tempout = -tempin; + break; + case 3: + tempout = gr_complex( tempin.imag(), -tempin.real()); + break; + } + out[produced++] = tempout; + out[produced++] = m_zero; + } + for (int x = (k + 1 + 36) - 90; x < 90; x++) { + tempin = in[consumed++]; + if (signal_constellation == MOD_QPSK) { + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = gr_complex(-tempin.imag(), tempin.real()); + break; + case 2: + tempout = -tempin; + break; + case 3: + tempout = gr_complex( tempin.imag(), -tempin.real()); + break; + } + } + else { + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = -tempin; + break; + case 2: + tempout = tempin; + break; + case 3: + tempout = -tempin; + break; + } + } + out[produced++] = tempout; + out[produced++] = m_zero; + symbols++; + } + slot_count = (slot_count + 1) % 16; + j++; + break; + } + } + slot_count = (slot_count + 1) % 16; + if ((slot_count == 0) && (j < slots - 1)) { + if (pilot_mode) { + // Add pilots if needed + group++; + symbols = 0; + for (int p = 0; p < 36; p++) { + tempin = m_bpsk[0][0]; + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = gr_complex(-tempin.imag(), tempin.real()); + break; + case 2: + tempout = -tempin; + break; + case 3: + tempout = gr_complex( tempin.imag(), -tempin.real()); + break; + } + out[produced++] = tempout; + out[produced++] = m_zero; + } + } + } + } + } + } + else { /* VL-SNR set 2 */ + for (int i = 0; i < noutput_items / 2; i += (((slots * 90) + 90) + pilot_symbols + VLSNR_HEADER_LENGTH + 36)) { + n = 0; + slot_count = 10; + group = 0; + for (int plh = 0; plh < 90; plh++) { + out[produced++] = m_pl[plh]; + out[produced++] = m_zero; + } + for (int vlh = 0; vlh < VLSNR_HEADER_LENGTH; vlh++) { + out[produced++] = m_vlsnr_header[vlh]; + out[produced++] = m_zero; + } + for (int j = 0; j < slots; j++) { + for (int k = 0; k < 90; k++) { + tempin = in[consumed++]; + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = -tempin; + break; + case 2: + tempout = tempin; + break; + case 3: + tempout = -tempin; + break; + } + out[produced++] = tempout; + out[produced++] = m_zero; + symbols++; + if (group <= 9 && symbols == 704) { + for (int p = 0; p < 32; p++) { + tempin = m_bpsk[0][0]; + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = gr_complex(-tempin.imag(), tempin.real()); + break; + case 2: + tempout = -tempin; + break; + case 3: + tempout = gr_complex( tempin.imag(), -tempin.real()); + break; + } + out[produced++] = tempout; + out[produced++] = m_zero; + } + for (int x = (k + 1 + 32) - 90; x < 90; x++) { + tempin = in[consumed++]; + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = -tempin; + break; + case 2: + tempout = tempin; + break; + case 3: + tempout = -tempin; + break; + } + out[produced++] = tempout; + out[produced++] = m_zero; + symbols++; + } + slot_count = (slot_count + 1) % 16; + j++; + break; + } + else if ((group == 10) && symbols == 702) { + for (int p = 0; p < 36; p++) { + tempin = m_bpsk[0][0]; + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = gr_complex(-tempin.imag(), tempin.real()); + break; + case 2: + tempout = -tempin; + break; + case 3: + tempout = gr_complex( tempin.imag(), -tempin.real()); + break; + } + out[produced++] = tempout; + out[produced++] = m_zero; + } + for (int x = (k + 1 + 36) - 90; x < 90; x++) { + tempin = in[consumed++]; + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = -tempin; + break; + case 2: + tempout = tempin; + break; + case 3: + tempout = -tempin; + break; + } + out[produced++] = tempout; + out[produced++] = m_zero; + symbols++; + } + slot_count = (slot_count + 1) % 16; + j++; + break; + } + } + slot_count = (slot_count + 1) % 16; + if ((slot_count == 0) && (j < slots - 1)) { + if (pilot_mode) { + // Add pilots if needed + group++; + symbols = 0; + for (int p = 0; p < 36; p++) { + tempin = m_bpsk[0][0]; + switch (m_cscram[n++]) { + case 0: + tempout = tempin; + break; + case 1: + tempout = gr_complex(-tempin.imag(), tempin.real()); + break; + case 2: + tempout = -tempin; + break; + case 3: + tempout = gr_complex( tempin.imag(), -tempin.real()); + break; + } + out[produced++] = tempout; + out[produced++] = m_zero; + } } } } @@ -755,25 +1251,279 @@ namespace gr { 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0 }; - /* for future implementation */ - const int dvbs2_physical_cc_impl::ph_vlsnr_seq[896] = + const int dvbs2_physical_cc_impl::ph_vlsnr_seq[16][896] = { - 1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0, - 1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0, - 1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1, - 1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0, - 0,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0, - 0,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0, - 0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0, - 0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,1,1,1,0,1, - 1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,1, - 0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1, - 0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1, - 0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1, - 0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0, - 1,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,1,1, - 0,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1, - 0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1 + {1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0, + 1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0, + 1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1, + 1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,1,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,1,0, + 0,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0, + 0,1,0,1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0, + 0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0, + 0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,1,1,1,0,1, + 1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,1, + 0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1, + 0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1, + 0,0,1,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1, + 0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0, + 1,1,1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,0,1,0,0,1,1,1, + 0,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1, + 0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,1}, + + {1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0, + 0,1,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1, + 1,1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,1,1,0,1,1,1, + 0,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1, + 0,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0, + 1,0,1,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1, + 0,0,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0, + 1,1,0,0,1,0,1,1,1,1,0,1,0,1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0, + 1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,1,1,1, + 1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,0,0,1,1,1,0,1,1,1,0,0,1,0,0,0, + 0,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,0,0,0,1,1,1, + 1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0, + 0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0, + 0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,1,1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,1,0,0,0, + 0,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1, + 1,1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,1,1,1,1,0}, + + {1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0, + 1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0, + 0,0,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0,0, + 0,1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,1, + 0,1,1,1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,1,1,0,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0, + 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