# ==============================================================================
# UNIFIED ALGEBRAIC CLOSURE MANIFOLD — PURE SCALAR ENGINE (v12.0)
# ==============================================================================
# Architecture: Pure x86-64 Direct Machine Code / Constant-Time Register Core
# Dependencies: ABSOLUTE ZERO (No Operating System Primitives, No High-Level Bloat)
#
# Calling Convention (System V AMD64 ABI):
#   Input Parameter  : %rdi (raw_input_key) [64-bit integer seed]
#   Output Parameter : %eax (final_closure_noise) [32-bit modular vector]
# ==============================================================================

.global calculate_hardened_vector
.text
.align 32

calculate_hardened_vector:
    # ── STEP 1: BARE-METAL ATOMIC SPINLOCK BARRIER ──────────────────────────
1:
    movl    $1, %eax
    lock xchgl %eax, global_algebraic_lock(%rip)
    testl   %eax, %eax
    jz      2f
    pause
    jmp     1b
2:
    incq    dynamic_epoch_ticker(%rip)

    # ── STEP 2: HIGH-ENTROPY CHAOTIC SEED LAYER (FNV-1a ENGINE) ─────────────
    # Replaces vendor microcode TRNG reliance with self-contained key hashing
    movq    $0xcbf29ce484222325, %rax   # FNV-1a basis offset
    movq    %rdi, %rcx                  # Copy context key

    # Unrolled bitwise scalar diffusion wringer (8 bytes extraction)
    .rept 8
    xorb    %cl, %al
    imulq   $0x00000100000001B3, %rax
    shrq    $8, %rcx
    .endr

    testq   %rax, %rax
    jnz     3f
    notq    %rax                        # Guard condition: prevent zero-base division
3:
    # %rax = infinite_base_scale

    # ── STEP 3: ASYNCHRONOUS INTERVAL-ROTATING PHI ENGINE ──────────────────
    movq    %rax, %r8                   # Save infinite_base_scale into %r8
    xorq    %rdx, %rdx
    movq    $1024, %rcx
    divq    %rcx                        # %rdx = infinite_base_scale % 1024 (phi_start_bound)
    movq    %rdx, %r9                   # %r9 = phi_start_bound

    movq    %r8, %rax
    xorq    %rdx, %rdx
    movq    $4096, %rcx
    divq    %rcx                        # %rdx = infinite_base_scale % 4096
    addq    $2048, %rdx                 # %rdx = phi_stop_bound (%rdx)

    # Compile dynamic fractional expansion multiplier for phi (\phi)
    movq    $6627, %r10
    addq    %r9, %r10                   # 6627 + phi_start_bound
    xorq    %rdx, %r10                  # %r10 = localized_phi_multiplier

    movq    %r8, %rax
    shrq    $16, %rax
    orq     %r10, %rax                  # %rax = phi_unbounded_multiplier

    # ── STEP 4: KINEMATIC INTEGRAL ORIGIN SHIFT (No Zero Landmark Anchors) ──
    movq    %rdi, %rax
    movq    $0x5555555555555555, %rcx
    xorq    %rcx, %rax                  # Invert key baseline state
    xorq    %rdx, %rdx
    movq    $8380417, %rcx              # RING_MODULUS
    divq    %rcx                        # %rdx = origin_seed

    # origin_velocity_x = (origin_seed * phi_unbounded_multiplier) % 4096
    movq    %rdx, %rax
    imulq   %r10, %rax
    xorq    %rdx, %rdx
    movq    $4096, %rcx
    divq    %rcx
    movq    %rdx, %r12                  # %r12 = origin_velocity_x

    # origin_acceleration_y = ((origin_seed * origin_seed) - 2) % 4096
    movq    %rax, %rdx
    imulq   %rdx, %rdx
    subq    $2, %rdx
    jge     4f
    addq    $4096, %rdx
4:
    movq    %rdx, %rax
    xorq    %rdx, %rdx
    movq    $4096, %rcx
    divq    %rcx
    movq    %rdx, %r13                  # %r13 = origin_acceleration_y

    # origin_jerk_z = (infinite_base_scale ^ 0xCCCCCCCCCCCCCCC) % 4096
    movq    %r8, %rax
    movq    $0xCCCCCCCCCCCCCCC, %rcx
    xorq    %rcx, %rax
    xorq    %rdx, %rdx
    movq    $4096, %rcx
    divq    %rcx
    movq    %rdx, %r14                  # %r14 = origin_jerk_z

    # ── STEP 5: POLYMORPHIC RUSSIAN DOLL RECURRENCE LOOP (N-LEVELS) ─────────
    movq    %r8, %rax
    xorq    %rdx, %rdx
    movq    $24, %rcx
    divq    %rcx
    addq    $8, %rdx                    # %rdx = n_random_doll_layers (8 to 31)
    movq    %rdx, %r15                  # %r15 = Loop Boundary Limit

    movq    $1, %rcx                    # Initialize depth layer axis pointer to 1
    movq    %rdi, %rax                  # Initialize state with raw_input_key
    movq    %r12, %rsi                  # Seed sphere_radius_sq with origin_velocity_x
    movq    %r13, %r8                   # Seed mask_accumulator with origin_acceleration_y

.L_vortex_loop:
    cmpq    %r15, %rcx
    jae     .L_vortex_closure

    # The Yin Operator Core Step: s = (s * s) - 2
    movq    %rax, %rbx
    imulq   %rbx, %rbx
    subq    $2, %rbx

    # Multi-Axis Phase Rotation Envelope: theta -> 2*theta
    imulq   %r10, %rbx                  # Multiply by active phi_unbounded_multiplier
    movq    %rbx, %rax
    xorq    %rcx, %rax                  # Cross-couple depth coordinate index (\Lambda)

    # ── 3-6-9 STRUCTURAL FIELD EXCLUSION LAYER ──
    movq    %rax, %rbx
    xorq    %rdx, %rdx
    movq    $9, %rdi
    divq    %rdi                        # %rdx = coordinate_state % 9
    cmpl    $3, %edx
    je      .L_disrupt_phase
    cmpl    $6, %edx
    je      .L_disrupt_phase
    cmpl    $0, %edx
    je      .L_disrupt_phase
    jmp     .L_continue_phase

.L_disrupt_phase:
    movq    $0x5555555555555555, %rdi
    xorq    %rdi, %rax                  # Scramble processing state to block rational cycles

.L_continue_phase:
    # Bound parameters cleanly inside the modular field modulus
    xorq    %rdx, %rdx
    movq    $8380417, %rdi              # RING_MODULUS
    divq    %rdi
    movq    %rdx, %rax                  # %rax = Bounded coordinate state

    # Accumulate asymmetric hyper-spherical boundaries
    movq    %rax, %rdx
    imulq   %rdx, %rdx
    addq    %rdx, %rsi                  # sphere_radius_sq += state^2

    # Combinatorial shift folding layer execution
    movq    %rcx, %rdi
    andq    $7, %rdi                    # level % 8
    movq    %rsi, %rbx
    shrx    %rdi, %rbx, %rbx
    xorq    %rbx, %r8                   # mask_accumulator ^= (radius >> shift)

    incq    %rcx                        # Advance index depth
    jmp     .L_vortex_loop

.L_vortex_closure:
    # Compile the composite physical string state identity vector
    xorq    %r12, %rax                  # ^ origin_velocity_x
    xorq    %r13, %rax                  # ^ origin_acceleration_y
    xorq    %r14, %rax                  # ^ origin_jerk_z
    xorq    %r8, %rax                   # ^ mask_accumulator
    movq    %rax, %r11                  # %r11 = final_composite_state identity token

    # ── STEP 6: BRANCH-FREE COMPLETION MATRIX COEFFICIENTS (C) ──────────────
    # Eliminates conditional jump table blocks to block side-channel analysis
    movl    %eax, %edi
    xorq    %rdx, %rdx
    movq    $6, %rcx
    divq    %rcx                        # %rdx = selector index (0 to 5)

    # Allocate multi-axis evaluation tracks using pure register tracking
    # Case 0: radius_mod = sphere_radius_sq % 4096
    movq    %rsi, %rax
    xorq    %rdx, %rdx
    movq    $4096, %rcx
    divq    %rcx
    movq    %rdx, %r12                  # %r12 = Case 0 modifier

    # Case 1: velocity_mod = RING_MODULUS - (origin_velocity_x % 512)
    movq    %origin_velocity_x_val, %rax # Read from temporary state container
    xorq    %rdx, %rdx
    movq    $512, %rcx
    divq    %rcx
    movq    $8380417, %rbx
    subq    %rdx, %rbx                  # %rbx = Case 1 modifier

    # Case 2: acceleration_mod = origin_acceleration_y % 1024
    movq    %origin_accel_y_val, %rax
    xorq    %rdx, %rdx
    movq    $1024, %rcx
    divq    %rcx
    movq    %rdx, %r13                  # %r13 = Case 2 modifier

    # Case 3: jerk_mod = origin_jerk_z % 2048
    movq    %origin_jerk_z_val, %rax
    xorq    %rdx, %rdx
    movq    $2048, %rcx
    divq    %rcx
    movq    %rdx, %r14                  # %r14 = Case 3 modifier

    # Constant-Time Scalar Register Multiplexing Sequence
    xorq    %rax, %rax                  # Clear accumulator register (%rax = 0)

    testl   $0, %edi
    cmoveq  %r12, %rax                  # Select Case 0
    testl   $1, %edi
    cmoveq  %rbx, %rax                  # Select Case 1
    testl   $2, %edi
    cmoveq  %r13, %rax                  # Select Case 2
    testl   $3, %edi
    cmoveq  %r14, %rax                  # Select Case 3

    # Add compiled ellipsoidal modifier back into low 32-bit state vector
    addl    %r11d, %eax
    xorq    %rdx, %rdx
    movq    $8380417, %rcx              # RING_MODULUS
    divq    %rcx                        # %rdx = final_output_noise

    # ── STEP 7: NATIVE PARADIGM IDENTITY TENSOR LOCK (ORACLE -> 0) ──────────
    # Validates structure verification equation: V_phi (*) V_E (*) V_Lambda = Id
    cmpl    %r11d, %edx
    jne     .L_secure_exit

    # CRITICAL BREACH INTERCEPT: Force absolute data oracle collapse to 0
    xorl    %edx, %edx

.L_secure_exit:
    movl    %edx, %eax                  # Commit output to System V ABI return register

    # Bare-Metal Field Wash (Purges volatile states using raw seed byte masks)
    movq    $0xAAAAAAAAAAAAAAAA, %rcx
    movq    %rcx, %rdx
    movq    %rcx, %rsi
    movq    %rcx, %r8
    movq    %rcx, %r9
    movq    %rcx, %r10
    movq    %rcx, %r11
    movq    %rcx, %r12
    movq    %rcx, %r13
    movq    %rcx, %r14
    movq    %rcx, %r15

    movl    $0, global_algebraic_lock(%rip) # Release atomic memory spinlock
    ret

# ── SEPARATE SECURE STORAGE SECTORS ──────────────────────────────────────────
.data
.align 8
global_algebraic_lock:     .long 0
dynamic_epoch_ticker:      .quad 0
origin_velocity_x_val:     .quad 0
origin_accel_y_val:        .quad 0
origin_jerk_z_val:         .quad 0