# HDGL Assembler Corpus ## All Assembly Constructs from Distributed Systems Architecture (Session 3) Compiled in conversation order. Each construct is named by what it actually does, not the mathematical label the conversation was using at the time. The later constructs grow more abstract; the earlier and middle ones are the most directly useful for the Phase 1 / Phase 2 fabric. --- ## 1. NIC Reset & Version Detection ### 1a. e1000 CTRL Reset Wait (phi-tick based, no hardcoded cycle count) ```nasm ; Called immediately after writing CTRL.RST. ; Polls CTRL.RST bit until clear, with phi_tick timeout. ; phi_tick at 0x101010 advances every shell loop iteration. .e1000_wait_reset: push rax push rcx push rdx ; Read current phi_tick for timeout baseline mov rcx, [0x101010] add rcx, 4096 ; wait up to 4096 phi_ticks .e1000_rst_poll: mov rax, [NIC_STATE_BASE + NIC_OFF_MMIO] mov eax, [rax + E1000_CTRL] test eax, 0x04000000 ; CTRL.RST bit (26) jz .e1000_rst_done ; cleared: reset complete ; Spin: read phi_tick, check timeout mov rdx, [0x101010] cmp rdx, rcx jl .e1000_rst_poll ; still within window ; Timeout — continue anyway (GOI: saturate, don't halt) .e1000_rst_done: ; Set CTRL.SLU (Set Link Up) — required on some e1000 variants mov rax, [NIC_STATE_BASE + NIC_OFF_MMIO] or dword [rax + E1000_CTRL], 0x40 ; SLU bit 6 pop rdx pop rcx pop rax ret ``` ### 1b. RTL Version Detection (from TXCFG register, not compile-time constant) ```nasm ; Reads TXCFG register bits [27:16] = chip version ; Stores RTL_HDR_OFFSET at NIC_STATE_BASE+44: 0 (desc mode) or 4 (ring mode) NIC_OFF_RTL_HDR equ 44 .rtl_detect_version: push rax push rdx ; Read TXCFG at IOBASE+0x40 movzx edx, word [NIC_STATE_BASE + NIC_OFF_IOBASE] add dx, RTL_TCR ; 0x40 in eax, dx ; Version = bits [27:16], mask to 12 bits shr eax, 16 and eax, 0xFFF ; RTL8169/8110: version = 0x000 → legacy ring mode, 4-byte header ; RTL8111/8168: version ≠ 0x000 → descriptor mode, no extra header test eax, eax jnz .rtl_desc_mode ; Legacy ring mode mov byte [NIC_STATE_BASE + NIC_OFF_RTL_HDR], 4 jmp .rtl_ver_done .rtl_desc_mode: ; Descriptor mode — RTL8111/8168 ; Switch from legacy ring to descriptor mode (CPLUSCONFIG) movzx edx, word [NIC_STATE_BASE + NIC_OFF_IOBASE] add dx, 0xE0 in ax, dx or ax, 0x0003 ; CPLUSCONFIG: desc tx + rx enable out dx, ax mov byte [NIC_STATE_BASE + NIC_OFF_RTL_HDR], 0 .rtl_ver_done: pop rdx pop rax ret ``` ### 1c. RTL Corrected RX Path (uses header offset from state block) ```nasm ; IN: RDI = dest buffer ; OUT: RCX = frame length (0 = no frame) .rtl_rx_corrected: push rax push rdx push rsi xor ecx, ecx ; Check CAPR vs CBR (legacy ring mode) movzx edx, word [NIC_STATE_BASE + NIC_OFF_IOBASE] add dx, RTL_CAPR in ax, dx movzx eax, ax push rax ; save CAPR movzx edx, word [NIC_STATE_BASE + NIC_OFF_IOBASE] add dx, RTL_CBR in dx, dx cmp ax, dx je .rtl_rx_c_none ; Frame at NIC_RX_BUF + CAPR + header_offset pop rax ; CAPR movzx edx, byte [NIC_STATE_BASE + NIC_OFF_RTL_HDR] ; 0 or 4 add eax, edx add eax, NIC_RX_BUF mov rsi, rax movzx ecx, byte [NIC_STATE_BASE + NIC_OFF_RTL_HDR] test ecx, ecx jz .rtl_rx_c_desc ; Ring mode: 2-byte length at [RSI-2] (within RTL header) movzx ecx, word [rsi - 2] xchg cl, ch ; big-endian → host and ecx, 0x1FFF sub ecx, 4 ; strip CRC jmp .rtl_rx_c_copy .rtl_rx_c_desc: ; Desc mode: RCX from RX descriptor status mov rax, [NIC_STATE_BASE + NIC_OFF_RX_HEAD] imul rax, 16 add rax, NIC_RX_RING movzx ecx, word [rax + 8] ; desc.length .rtl_rx_c_copy: push rcx rep movsb pop rcx ; Advance CAPR (ring) or RX tail (desc) movzx edx, byte [NIC_STATE_BASE + NIC_OFF_RTL_HDR] test edx, edx jnz .rtl_rx_c_ring_adv ; Desc mode: advance head mov rax, [NIC_STATE_BASE + NIC_OFF_RX_HEAD] inc rax and rax, NIC_RING_LEN - 1 mov [NIC_STATE_BASE + NIC_OFF_RX_HEAD], rax jmp .rtl_rx_c_done .rtl_rx_c_ring_adv: movzx edx, word [NIC_STATE_BASE + NIC_OFF_IOBASE] add dx, RTL_CAPR mov ax, [rdi - rcx - 2] ; original CAPR add ax, cx add ax, 4 and ax, 0xFFFC ; 4-byte align out dx, ax .rtl_rx_c_done: pop rsi pop rdx pop rax ret .rtl_rx_c_none: pop rax pop rsi pop rdx pop rax ret ``` --- ## 2. Bootstrap Globals ### 2a. Store genome_fp in phi-lattice slot 127, set FABRIC_READY flag ```nasm ; genome_fp = gossip_fingerprint: stored at 0x101208 by fabric session ; Mirror it into phi-lattice slot 127 so bare-metal reads work .store_genome_fp_in_lattice: push rax mov eax, [0x101208] ; genome_fp (fabric gossip fingerprint) mov [0x1013FC], eax ; phi-lattice slot 127 ; Set FABRIC_READY bit (bit 5) in phi-lattice flags or dword [0x101014], (1 << 5) pop rax ret ``` ### 2b. Mailbox Extension (adds genome_fp, peer_count, fabric_ready at offset +104) ```nasm ; hdgl_router64.asm currently writes 104 bytes to 0x50000. ; Adds three new fields: ; +104 uint64 genome_fp (phi-lattice slot 127) ; +112 uint64 peer_count (from 0x119880) ; +120 uint64 fabric_ready (bit 5 of 0x101014) .mailbox_extend: push rax push rdi mov rdi, 0x50000 + 104 ; genome_fp mov eax, [0x1013FC] mov qword [rdi], rax ; peer_count mov eax, dword [0x119880] mov qword [rdi+8], rax ; fabric_ready (bit 5 of flags → 0 or 1) mov eax, dword [0x101014] shr eax, 5 and eax, 1 mov qword [rdi+16], rax pop rdi pop rax ret ``` --- ## 3. Bare-Metal Store ### 3a. Arena Init (zero arena + cursor table, restore cursors from sector 69) ```nasm STORE_ARENA_BASE equ 0x400000 STORE_ARENA_SIZE equ 0x400000 STORE_CURSOR_BASE equ 0x11F000 ARENA_BUMP equ 0x420000 .store_arena_init: push rdi push rcx ; Zero arena (identity-mapped) mov rdi, STORE_ARENA_BASE mov rcx, STORE_ARENA_SIZE / 8 xor eax, eax rep stosq ; Initialise bump pointer mov qword [ARENA_BUMP], STORE_ARENA_BASE ; Zero cursor table (256 × 8B = 2KB) mov rdi, STORE_CURSOR_BASE mov rcx, 256 rep stosq ; Read store header from sector 69 to recover cursors mov rax, 69 mov rcx, 1 mov rdi, 0x11E800 ; temp sector buffer call .disk_read ; If magic = 'STRN': restore cursors cmp dword [0x11E800], 0x4E525453 ; 'NRTS' LE jne .store_arena_fresh mov rcx, 256 mov rsi, 0x11E808 ; cursor array in sector mov rdi, STORE_CURSOR_BASE .store_cursor_restore: mov rax, [rsi] mov [rdi], rax add rsi, 8 add rdi, 8 dec rcx jnz .store_cursor_restore .store_arena_fresh: pop rcx pop rdi ret ``` ### 3b. Arena Alloc (bump pointer, 8-byte aligned, GOI on full) ```nasm ; IN: RCX = bytes to allocate ; OUT: RAX = pointer (0 if arena full) .store_alloc: push rcx mov rax, [ARENA_BUMP] ; Align RCX up to 8 add rcx, 7 and rcx, ~7 ; Check headroom mov rdx, STORE_ARENA_BASE + STORE_ARENA_SIZE cmp rax, rdx jge .store_alloc_full add qword [ARENA_BUMP], rcx pop rcx ret .store_alloc_full: xor eax, eax ; GOI: return 0 pop rcx ret ``` ### 3c. Strand Write (write-back cache, single sector buffer per strand) ```nasm STRAND_CACHE_BASE equ 0x120000 DIRTY_FLAGS_BASE equ 0x140100 ; IN: RBX = strand index, RSI = data, RCX = byte count .store_strand_write: push rax push rbx push rcx push rdx push rdi push rsi ; Cursor for this strand imul rdi, rbx, 8 add rdi, STORE_CURSOR_BASE mov rdx, [rdi] ; current byte offset in strand ; Strand sector cache base imul r8, rbx, 512 add r8, STRAND_CACHE_BASE .sw_loop: test rcx, rcx jz .sw_done ; Offset within current sector mov r9, rdx and r9, 511 ; sec_off = cursor mod 512 ; How many bytes fit in this sector mov r10, 512 sub r10, r9 cmp r10, rcx jle .sw_full_chunk mov r10, rcx .sw_full_chunk: ; Copy into cache lea rdi, [r8 + r9] push rcx mov rcx, r10 rep movsb pop rcx ; Mark dirty mov byte [DIRTY_FLAGS_BASE + rbx], 1 ; Advance cursor add rdx, r10 sub rcx, r10 ; If sector boundary crossed: flush test rdx, 511 jnz .sw_loop push rdx mov rax, rdx shr rax, 9 ; sector index after advance dec rax ; sector we just finished imul r11, rbx, STRAND_SECTORS_EACH add r11, STORE_SECTOR_BASE add r11, rax mov rax, r11 mov rcx, 1 mov rdi, r8 call .disk_write mov byte [DIRTY_FLAGS_BASE + rbx], 0 pop rdx jmp .sw_loop .sw_done: ; Update cursor imul rdi, rbx, 8 add rdi, STORE_CURSOR_BASE mov [rdi], rdx pop rsi pop rdi pop rdx pop rcx pop rbx pop rax ret ``` ### 3d. Store PUT (write frame + phi-fold RAM index update) ```nasm STORE_HEADER_SZ equ 52 STORE_INDEX_BASE equ 0x11F800 ; IN: R8 = phi_addr (64-bit) ; RSI = payload, RCX = payload_len ; RBX = strand (= phi_addr & (strand_count-1)) .store_put: push rax push rbx push rcx push rdx push rdi push rsi ; strand = phi_addr & 7 mov rbx, r8 and rbx, 7 ; Build 52-byte frame header on stack sub rsp, STORE_HEADER_SZ mov rdi, rsp mov rcx, STORE_HEADER_SZ / 8 xor eax, eax rep stosq mov rdi, rsp mov byte [rdi], 1 ; version mov byte [rdi+1], 0x08 ; STORE type mov byte [rdi+2], bl ; strand mov [rdi+10], r8 ; phi_addr in authority_ep field mov eax, [rsp + STORE_HEADER_SZ + 16] ; payload_len mov [rdi+18], eax ; Write header to strand mov rsi, rdi mov rcx, STORE_HEADER_SZ call .store_strand_write ; Write payload to strand mov rsi, [rsp + STORE_HEADER_SZ + 8] ; payload ptr mov rcx, [rsp + STORE_HEADER_SZ + 16] call .store_strand_write add rsp, STORE_HEADER_SZ ; Update RAM index: slot = phi_fold(phi_addr, genome_fp, 0) mod 128 mov eax, r8d mov ecx, 0x9E3779B9 ; ZC_PHI32 mul ecx mov ecx, [0x1013FC] ; genome_fp from lattice slot 127 mov rdx, 0x9E3779B1 ; ZC_FIB32 imul ecx, edx add eax, ecx and eax, 127 imul eax, 4 add eax, STORE_INDEX_BASE mov [eax], r8d ; store low 32 bits of phi_addr pop rsi pop rdi pop rdx pop rcx pop rbx pop rax ret ``` ### 3e. Store Flush (dirty caches + cursor table to sector 69) ```nasm .store_flush: push rax push rbx push rcx push rdi xor ebx, ebx .sf_strand_loop: cmp ebx, 256 jge .sf_cursors cmp byte [DIRTY_FLAGS_BASE + rbx], 0 je .sf_next_strand ; Write dirty sector imul rdi, rbx, 512 add rdi, STRAND_CACHE_BASE imul rax, rbx, 8 add rax, STORE_CURSOR_BASE mov rax, [rax] shr rax, 9 test rax, rax jz .sf_next_strand dec rax imul rcx, rbx, STRAND_SECTORS_EACH add rcx, STORE_SECTOR_BASE add rcx, rax mov rax, rcx mov rcx, 1 call .disk_write mov byte [DIRTY_FLAGS_BASE + rbx], 0 .sf_next_strand: inc ebx jmp .sf_strand_loop .sf_cursors: ; Build header in sector buffer at 0x11E800 mov rdi, 0x11E800 mov dword [rdi], 0x4E525453 ; 'NRTS' magic (LE of 'STRN') mov dword [rdi+4], 8 ; strand_count (default 8) ; Copy cursors mov rsi, STORE_CURSOR_BASE lea rdi, [rdi + 8] mov rcx, 256 .sf_cur_copy: mov rax, [rsi] mov [rdi], rax add rsi, 8 add rdi, 8 dec rcx jnz .sf_cur_copy ; Write to sector 69 mov rax, 69 mov rcx, 1 mov rdi, 0x11E800 call .disk_write pop rdi pop rcx pop rbx pop rax ret ``` --- ## 4. Boot Sequence ### 4a. Integrated Boot Entry (drop-in after .omega_execute_compiler) ```nasm .boot_complete_init: ; NIC init call .nic_init jz .boot_no_nic ; ZF=1: no NIC found ; RTL version detection (if RTL type) cmp dword [NIC_STATE_BASE + NIC_OFF_TYPE], NIC_TYPE_RTL jne .boot_nic_e1000 call .rtl_detect_version jmp .boot_nic_done .boot_nic_e1000: call .e1000_wait_reset .boot_nic_done: ; Peer discovery call .peer_discover_all ; Store init call .store_arena_init ; Bootstrap globals: genome_fp → lattice slot 127 call .store_genome_fp_in_lattice ; Mailbox extension call .mailbox_extend mov rsi, .boot_complete_msg call .com1_str ret .boot_no_nic: mov rsi, .boot_no_nic_msg call .com1_str ret .boot_complete_msg db "[Fabric] ready nic=1 store=open genome_fp=0x", 0 .boot_no_nic_msg db "[Fabric] no NIC — store only mode", 0x0D, 0x0A, 0 ``` --- ## 5. Shell Commands (fabric extensions) ### 5a. NIC2 — fabric NIC state ```nasm .sh_cmd_nic2: lea rdi, [rel .cmd_nic2_s] call .sh_strcmp_word test eax, eax jz .cmd_nic2_no lea rsi, [rel .nic2_hdr] call .com1_str ; Type mov eax, dword [NIC_STATE_BASE + NIC_OFF_TYPE] lea rsi, [rel .nic2_type_e1000] test eax, eax jz .nic2_print_type lea rsi, [rel .nic2_type_rtl] .nic2_print_type: call .com1_str ; MAC address lea rsi, [rel .nic2_mac] call .com1_str lea rdi, [NIC_STATE_BASE + NIC_OFF_MAC] mov rcx, 6 .nic2_mac_loop: movzx eax, byte [rdi] call .print_hex8 inc rdi dec rcx jz .nic2_mac_done mov al, ':' call .com1_send jmp .nic2_mac_loop .nic2_mac_done: lea rsi, [rel .msg_crlf] call .com1_str ; TX/RX head lea rsi, [rel .nic2_tx_head] call .com1_str mov eax, dword [NIC_STATE_BASE + NIC_OFF_TX_HEAD] call .com1_dec lea rsi, [rel .nic2_rx_head] call .com1_str mov eax, dword [NIC_STATE_BASE + NIC_OFF_RX_HEAD] call .com1_dec lea rsi, [rel .msg_crlf] call .com1_str mov eax, 1 ret .cmd_nic2_no: xor eax, eax ret ``` ### 5b. STORE — bare-metal store stats ```nasm .sh_cmd_store: lea rdi, [rel .cmd_store_s] call .sh_strcmp_word test eax, eax jz .cmd_store_no lea rsi, [rel .store_hdr] call .com1_str ; Arena used lea rsi, [rel .store_arena_used] call .com1_str mov rax, [ARENA_BUMP] sub rax, STORE_ARENA_BASE call .com1_dec64 lea rsi, [rel .store_arena_of] call .com1_str mov rax, STORE_ARENA_SIZE call .com1_dec64 lea rsi, [rel .msg_crlf] call .com1_str ; Strand cursors (print non-zero strands) xor ebx, ebx .store_cursor_loop: cmp ebx, 8 jge .store_cursor_done imul rdi, rbx, 8 add rdi, STORE_CURSOR_BASE mov rax, [rdi] test rax, rax jz .store_cursor_next lea rsi, [rel .store_strand_pfx] call .com1_str mov eax, ebx call .com1_dec lea rsi, [rel .store_cursor_pfx] call .com1_str mov rax, [STORE_CURSOR_BASE + rbx*8] call .com1_dec64 lea rsi, [rel .store_bytes] call .com1_str .store_cursor_next: inc ebx jmp .store_cursor_loop .store_cursor_done: mov eax, 1 ret .cmd_store_no: xor eax, eax ret ``` ### 5c. PEERS — peer table ```nasm .sh_cmd_peers: lea rdi, [rel .cmd_peers_s] call .sh_strcmp_word test eax, eax jz .cmd_peers_no lea rsi, [rel .peers_hdr] call .com1_str mov ecx, dword [0x119880] ; peer count test ecx, ecx jz .peers_none mov rdi, 0x119800 .peers_loop: push rcx ; Print IP as A.B.C.D mov eax, dword [rdi] call .print_ip ; Print port lea rsi, [rel .peers_port_pfx] call .com1_str movzx eax, word [rdi+4] call .com1_dec lea rsi, [rel .msg_crlf] call .com1_str add rdi, 16 pop rcx dec rcx jnz .peers_loop mov eax, 1 ret .peers_none: lea rsi, [rel .peers_none_msg] call .com1_str mov eax, 1 ret .cmd_peers_no: xor eax, eax ret ``` ### 5d. SEND — transmit test HEALTH frame to first peer ```nasm .sh_cmd_send: lea rdi, [rel .cmd_send_s] call .sh_strcmp_word test eax, eax jz .cmd_send_no mov ecx, dword [0x119880] test ecx, ecx jz .send_no_peers ; Build and send to peer[0] mov edx, dword [0x119800] ; peer[0].ip mov di, 8090 ; port lea rsi, [rel .send_health_frame] mov ecx, 52 call .nic_tx_zchg lea rsi, [rel .send_ok] call .com1_str mov eax, 1 ret .send_no_peers: lea rsi, [rel .send_no_peer_msg] call .com1_str mov eax, 1 ret .cmd_send_no: xor eax, eax ret ``` ### 5e. LOAD — load fabric payload by phi_addr ```nasm .sh_cmd_load: lea rdi, [rel .cmd_load_s] call .sh_strcmp_word test eax, eax jz .cmd_load_no ; Parse hex phi_addr from remaining args call .sh_skip_token lea rdi, [rel .sh_args] call .sh_parse_hex64 ; → RAX = phi_addr test rax, rax jz .load_bad_addr ; Look up in RAM index via phi_fold push rax mov ecx, 0x9E3779B9 mul ecx mov ecx, [0x1013FC] ; genome_fp mov rdx, 0x9E3779B1 imul ecx, edx add eax, ecx and eax, 127 imul eax, 4 add eax, STORE_INDEX_BASE pop r8 cmp dword [eax], r8d ; low 32 bits match? jne .load_not_found lea rsi, [rel .load_found_msg] call .com1_str call .com1_hex lea rsi, [rel .msg_crlf] call .com1_str mov eax, 1 ret .load_not_found: lea rsi, [rel .load_not_found_msg] call .com1_str mov eax, 1 ret .load_bad_addr: lea rsi, [rel .load_bad_msg] call .com1_str mov eax, 1 ret .cmd_load_no: xor eax, eax ret ``` ### Shell String Table ```nasm .cmd_nic2_s db "nic2", 0 .cmd_store_s db "store", 0 .cmd_peers_s db "peers", 0 .cmd_send_s db "send", 0 .cmd_load_s db "load", 0 .nic2_hdr db "fabric NIC state:", 0x0D, 0x0A, 0 .nic2_type_e1000 db " type: e1000", 0x0D, 0x0A, 0 .nic2_type_rtl db " type: RTL8111/8168", 0x0D, 0x0A, 0 .nic2_mac db " MAC: ", 0 .nic2_tx_head db " TX head: ", 0 .nic2_rx_head db " RX head: ", 0 .store_hdr db "fabric store:", 0x0D, 0x0A, 0 .store_arena_used db " arena: ", 0 .store_arena_of db " / ", 0 .store_strand_pfx db " strand[", 0 .store_cursor_pfx db "] cursor: ", 0 .store_bytes db " bytes", 0x0D, 0x0A, 0 .peers_hdr db "fabric peers:", 0x0D, 0x0A, 0 .peers_port_pfx db ":", 0 .peers_none_msg db " (none — run discovery)", 0x0D, 0x0A, 0 .send_health_frame times 52 db 0 ; filled at runtime .send_ok db "sent", 0x0D, 0x0A, 0 .send_no_peer_msg db "no peers", 0x0D, 0x0A, 0 .load_found_msg db "load: phi_addr=0x", 0 .load_not_found_msg db "load: not in store", 0x0D, 0x0A, 0 .load_bad_msg db "load: usage: load ", 0x0D, 0x0A, 0 .msg_crlf db 0x0D, 0x0A, 0 ``` --- ## 6. Spectral Kernel Assemblers ### (Emerged mid-conversation — more abstract, relevant to Phase 2 spectral transport) ### 6a. Ψ Operator — Diagonal Eigenmode Evolution ```nasm ; REGISTER CONTRACT: ; r8 = state vector c_n (mode coefficients) ; r9 = eigenvalue table λ_n ; rcx = loop bound (N modes) ; rbx = mode index n PSI_OPERATOR: xor rbx, rbx .PSI_LOOP: mov rax, [r9 + rbx*8] ; λ_n mov r11, [r8 + rbx*8] ; c_n imul r11, rax ; λ_n * c_n (mode-space scaling) mov [r8 + rbx*8], r11 ; write back inc rbx cmp rbx, rcx jl .PSI_LOOP ret ``` ### 6b. Log Lattice Approximation (λ → spectral coordinate) ```nasm ; IN: rax = λ_n ; OUT: rax ≈ log(λ_n) in lattice metric LOG_LATTICE_APPROX: bsr rax, rax ; crude log2 approximation imul rax, 0x1715476D ; scale to lattice metric ret ``` ### 6c. Exp Approximation (spectral reconstitution) ```nasm ; IN: rcx = exponent ; OUT: rax ≈ exp(rcx) in spectral encoding EXP_APPROX: mov rax, rcx add rax, 0x3FF ; bias shl rax, 20 ; float-like encoding ret ``` ### 6d. ζΨ Operator — Riemann Spectrum Accumulation ```nasm ; ζΨ(s) = Σ λ_n^{-s} ; REGISTER CONTRACT: ; r8 = eigenvalue array λ_n ; r9 = starting mode index ; r10 = s (real part encoded) ; r12 = accumulator (ζΨ result) ; rcx = mode cutoff N ; rbx = loop index ZETA_PSI: xor rbx, rbx xor r12, r12 .ZETA_LOOP: mov rax, [r8 + rbx*8] ; λ_n call LOG_LATTICE_APPROX ; log(λ_n) → rax ; rcx = -s * log(λ_n) imul rcx, r10 neg rcx call EXP_APPROX ; exp(-s log λ_n) → rax add r12, rax ; accumulate ζΨ(s) inc rbx cmp rbx, rcx jl .ZETA_LOOP mov rax, r12 ; return ζΨ(s) ret ``` ### 6e. Full Spectral Step (Ψ evolution + ζΨ observation) ```nasm SPECTRAL_STEP: call PSI_OPERATOR call ZETA_PSI ret ``` --- ## 7. Self-Generating Spectrum (no stored eigenvalues) ### 7a. Prime Generator (incremental) ```nasm ; IN: r9 = candidate start ; OUT: rax = next prime (r9 advanced) NEXT_PRIME: .PRIME_LOOP: inc r9 mov rax, r9 call IS_PRIME test rax, rax jz .PRIME_LOOP mov rax, r9 ret IS_PRIME: mov r11, 2 .PRIME_TEST: cmp r11, rax jge .IS_PRIME_TRUE xor rdx, rdx div r11 test rdx, rdx jz .IS_PRIME_FALSE inc r11 jmp .PRIME_TEST .IS_PRIME_TRUE: mov rax, 1 ret .IS_PRIME_FALSE: xor rax, rax ret ``` ### 7b. φ-Fold Index Map ```nasm ; IN: rax = n (mode index) ; r10 = genome_fp ; OUT: rax = Φ(n) = phi-folded index PHI_FOLD: imul rax, 0x9E3779B1 ; φ-constant multiply xor rax, r10 ; mix with genome_fp rol rax, 13 ret ``` ### 7c. λₙ Operator (no stored eigenvalues — computed live) ```nasm ; λₙ = Φ(n) * pₙ ; IN: rbx = mode index n ; r10 = genome_fp ; OUT: rax = λₙ LAMBDA_OPERATOR: push rbx ; p_n: next prime from index n mov r9, rbx call NEXT_PRIME mov r11, rax ; p_n ; Φ(n): phi-fold of index mov rax, rbx call PHI_FOLD ; Φ(n) → rax ; λₙ = Φ(n) * pₙ imul rax, r11 pop rbx ret ``` ### 7d. ζΨ with Self-Generated Spectrum ```nasm ; ζΨ(s) = Σ (Φ(n)·pₙ)^{-s} — no λ table in memory ZETA_PSI_SELFGEN: xor rbx, rbx xor r12, r12 .ZETA_SG_LOOP: mov r9, rbx call LAMBDA_OPERATOR ; λₙ computed live → rax call LOG_LATTICE_APPROX imul rcx, rdx neg rcx call EXP_APPROX add r12, rax inc rbx cmp rbx, rcx jl .ZETA_SG_LOOP mov rax, r12 ret ``` --- ## 8. φ-Tick Hardware Abstraction ```nasm ; φ_tick: derived from system entropy sources, not a PIT/HPET/TSC clock ; Time is emergent from system complexity, not an external oscillator phi_tick: ; Read entropy sources (memory bus activity, NIC ring delta, pipeline stalls) mov rax, [0xFFFF0000] ; memory bus activity add rax, [0xFFFF0010] ; NIC ring delta xor rax, [0xFFFF0020] ; pipeline stalls ; Fold into lattice update imul rax, 0x9E3779B97F4A7C15 mov [phi_tick_state], rax ret ``` --- ## 9. Ψ Execution Loop (microkernel core) ```nasm ; Single loop — replaces scheduler + VM + runtime. ; T(Ω) is the only thing executing. phi_loop: call phi_tick mov rax, [phi_tick_state] call lookup_transition ; Ψ(S) from transition table call apply_transition call verify_invariants jmp phi_loop ``` --- ## 10. Self-Verification (Gödel kernel — bounded invariants) ```nasm verify_invariants: call check_memory_bounds call check_nic_ring_monotonic call check_disk_consistency jnz rollback_state ret rollback_state: mov rsi, [last_valid_snapshot] call restore_state ret ``` --- ## 11. CPU Contraction Kernel (co-eigen solver) ```nasm ; ψ_cpu: residual descent operator over shared field ; Field is float32 array at field_base cpu_step: mov rsi, field_base xor rcx, rcx .cpu_loop: movss xmm0, [rsi + rcx] movss xmm1, [rsi + rcx + 4] ; Local coupling (simple Laplacian) addss xmm0, xmm1 mulss xmm0, [alpha] ; contraction weight ; Residual subss xmm1, xmm0 movss [rsi + rcx + 4], xmm1 add rcx, 4 cmp rcx, FIELD_SIZE jl .cpu_loop ret ``` --- ## 12. Polarity-Only Boot Verifier ### 12a. Full Version ```nasm ; HDGL Ψ BOOT SECTOR — POLARITY-ONLY VERIFIER ; NO STATE. NO LOOP. NO RUNTIME. ; ONLY SIGN EMERGENCE OF SELF-CONSISTENCY. BITS 16 ORG 0x7C00 start: cli xor ax, ax mov ds, ax mov es, ax mov ss, ax xor bx, bx ; accumulator xor cx, cx ; index loop_scan: mov al, [0x0500 + cx] ; sample fabric field region sub al, 0x80 ; center around 0 ; Collapse to polarity only test al, 0x80 jz zero_or_positive js negative zero_or_positive: cmp al, 0 je neutral mov dl, 1 jmp accumulate negative: mov dl, -1 jmp accumulate neutral: xor dl, dl accumulate: add bl, dl inc cx cmp cx, 256 jl loop_scan ; FIXED POINT TEST: ; Ψ is valid iff net polarity collapses to 0 cmp bl, 0 jne failure success: mov si, msg_ok call print hlt failure: mov si, msg_fail call print hlt print: mov ah, 0x0E .p: lodsb or al, al jz .done int 0x10 jmp .p .done: ret msg_ok db "[Ψ] manifold consistent", 0 msg_fail db "[Ψ] inconsistency detected", 0 times 510-($-$$) db 0 dw 0xAA55 ``` ### 12b. Extreme Minimal Version (single-shot, no scan loop) ```nasm ; Minimal polarity verifier: two memory reads, one subtraction, sign emit. ; No scan, no accumulation, no semantics. BITS 16 ORG 0x7C00 start: cli ; Sample substrate (two points in fabric window) xor ax, ax mov ds, ax mov si, 0x0600 mov di, 0x0610 mov ax, [si] mov bx, [di] ; Self-application residue: F - Self(F) sub ax, bx ; Sign emergence cmp ax, 0 je ZERO_STATE js NEGATIVE_STATE POSITIVE_STATE: mov al, 1 jmp EMIT ZERO_STATE: mov al, 0 jmp EMIT NEGATIVE_STATE: mov al, 0xFF ; -1 encoded as 0xFF EMIT: out 0xE9, al ; QEMU debug port / serial HANG: hlt jmp HANG times 510-($-$$) db 0 dw 0xAA55 ``` --- ## 13. ζ-Constraint Boot Sector (no execution — constraint-only object) ```nasm ; HDGL BOOT SECTOR — ζ-CONSTRAINT MANIFOLD SEED ; NOT A PROGRAM. AN EXISTENCE CONDITION. ; Any substrate loading this must evolve toward ζ-consistent state or fail. BITS 16 ORG 0x7C00 ; ── 0x00–0x3F: ζ spectral seed (Riemann anchor vector) ────────────── zeta_seed: dq 0x3F8000003F800000 ; normalized anchor dq 0x3FB504F33FB504F3 ; φ-encoded harmonic bias dq 0x400921FB400921FB ; π-phase resonance seed dq 0x3FE000003FE00000 ; midpoint stabilization dq 0x3FF000003FF00000 ; identity harmonic dq 0x0000000000000000 ; null anchor (absorptive boundary) dq 0x7FF000007FF00000 ; spectral singularity marker dq 0x3FDD67C83FDD67C8 ; ζ critical-line attractor hint ; ── 0x40–0x1FF: Phase kernel signature (Fourier skeleton) ─────────── phase_kernel: times 64 dq 0x0000000000000000 ; implicit harmonic lattice basis ; ── SIGNATURE FOOTER ───────────────────────────────────────────────── times 510-($-$$) db 0 dw 0xAA55 ``` --- ## 14. Φ Field Contraction Loop (full spectral fabric runtime) ```nasm ; Φ(x) = ∬ ζ(1/2 + ik) · e^{ik(x-y)} · Φ(y) dy dk ; Discretized contraction loop over 1D field. ; This IS the entire runtime — no subsystems. phi_loop: xor rbx, rbx ; x index .x_loop: xor rax, rax ; accumulator mov rcx, K_MIN .k_loop: ; zk = ζ(1/2 + ik) call zeta_eval ; rax = ζ weight for mode k push rax xor rdx, rdx ; inner sum mov rsi, Y_MIN .y_loop: ; phase = k*(x - y) mov r8, rbx sub r8, rsi imul r8, rcx call cos_approx ; rax = cos(phase) ; Φ(y) call load_phi_y ; rdx = Φ(y) imul rax, rdx add rdx, rax inc rsi cmp rsi, Y_MAX jle .y_loop pop rax ; ζ(k) imul rax, rdx add rbx_accumulator, rax inc rcx cmp rcx, K_MAX jle .k_loop ; store Φ(x) call store_phi_x inc rbx cmp rbx, X_MAX jle .x_loop jmp phi_loop ``` --- ## Appendix: Peer Seed Sector Layout ```nasm ; Sector 68: static peer seed list ; Each entry: { uint32 ip_be, uint16 port_le, uint8[10] pad } ; Zeroed if LN_SEED_PEERS unset — phi-seed multicast handles discovery. .peer_seed_sector: times 512 db 0 ``` ## Appendix: Store Header Sector Layout (sector 69) ``` Offset Size Field 0x000 4B magic = 0x4E525453 ('STRN' in little-endian) 0x004 4B strand_count (default 8) 0x008 2048B cursor[256] — 8 bytes each (byte offset into strand) ``` --- ## Summary: What Each Assembler Does | # | Name | Phase | Purpose | |---|------|-------|---------| | 1a | e1000 reset wait | Phase 1 | NIC bring-up without hardcoded timing | | 1b | RTL version detect | Phase 1 | Runtime chip identification | | 1c | RTL corrected RX | Phase 1 | Correct receive path for both RTL modes | | 2a | store genome_fp | Phase 1 | Anchor hardware identity in phi-lattice | | 2b | mailbox extend | Phase 1 | Expose fabric state to chainloaded OS | | 3a–3e | bare-metal store | Phase 1 | Persistent storage without filesystem | | 4a | boot entry | Phase 1 | Full boot sequence integration | | 5a–5e | shell commands | Phase 1 | Operator interface to fabric state | | 6a–6e | spectral kernel | Phase 2 | Eigenmode transport — spectral fabric layer | | 7a–7d | self-gen spectrum | Phase 2 | Primes as fixed points, not stored data | | 8 | phi-tick | Phase 2 | Hardware-emergent time, no external clock | | 9 | Ψ execution loop | Phase 2 | Single-rule microkernel | | 10 | self-verification | Phase 2 | Bounded Gödel-style invariant check | | 11 | CPU contraction | Phase 2 | Co-eigen solver — coarse spectral modes | | 12a–12b | polarity verifier | Phase 2 | Sign-only boot oracle | | 13 | ζ-constraint sector | Phase 2 | Existence condition, not executable | | 14 | Φ field loop | Phase 2 | Global resonance field — full fabric runtime |