[AsTonyshment]

What's Changed

• Enable two-component spinor propagation for noncollinear PW RT-TDDFT (nspin=4), including spin-orbit coupling, on CPU and GPU.
• Add time-resolved total and atom-resolved magnetic moments, spin currents, and XC/SOC spin torques, with Voronoi and onsite projections for atomic moments.
• Add adaptive time stepping through automatic half-step retries when propagation self-consistency fails, preserving the original output time grid and external-field profile. Introduce separate iteration limits for initial-state SCF (scf_nmax) and real-time propagation (td_scf_nmax).
• Add the enforced time-reversal symmetry (ETRS) propagator with adaptive Lanczos and fixed-order Taylor exponential approximations alongside Crank-Nicolson.
• Separate propagation, endpoint state management, observables, and output into dedicated modules, keeping ESolver focused on the high-level physical workflow.
• Address platform-dependent regression failures in 01_PW/087_PW_get_pchg_kpar_bndpar, 01_PW/089_PW_get_wf_kpar_bndpar, and 01_PW/scf_uspp_bpcg through tighter convergence, refreshed references, and case-specific tolerances. (Useful information for testing on 北极星 and 天津超算)
• Fix cuSOLVER triangular-inversion failures affecting 11_PW_GPU/scf_bpcg by using cuBLAS TRSM. (Also an already known defect)

Tests

• Add unit tests for spinor propagation, exponential approximations, magnetic moments, charge and spin currents, SOC torques, and external-field subdivision.
• Add CPU/GPU integration cases covering SOC in length and velocity gauges, atomic magnetic-moment partitions, the ETRS propagator, and automatic half-step retries.

As a physical demonstration, we simulated a fixed-ion Fe dimer (Fe₂) with a 1.99 Å bond along the z axis, using PBE and the ETRS propagator. Gaussian-envelope electric pulses polarized along the bond were applied. The figure below shows the applied fields and the total magnetic moment $M_z(t)$ for three pulse amplitudes with SOC, together with a calculation without SOC at the highest amplitude.

[ABACUS-PR-BOT]

Static review at 8c0bcc47c819b80a7cadcd7cedd1a0c7b76ca04e. git diff --check 00d74be8e24cd9e7ab3537c8088f8bada783ab4c 8c0bcc47c819b80a7cadcd7cedd1a0c7b76ca04e passed; the trusted governance check on the identical parent tree returned warnings only (21 global references added/21 removed).

No builds or product/numerical/GPU/MPI tests were run; CI diagnostics were unavailable. These are bounded static findings, not runtime or CI validation.

Please provide reference-generation commands and measured platform/compiler/MPI deviations supporting the widened tolerances, including case 31's 1e-10 to 5e-10 change.