mirror of
https://github.com/chipsec/chipsec
synced 2026-06-08 13:31:00 +00:00
55582449c9
Signed-off-by: Nathaniel Mitchell <nathaniel.p.mitchell@intel.com>
526 lines
20 KiB
Python
526 lines
20 KiB
Python
# CHIPSEC: Platform Security Assessment Framework
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# Copyright (c) 2010-2022, Intel Corporation
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#
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# This program is free software; you can redistribute it and/or
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# modify it under the terms of the GNU General Public License
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# as published by the Free Software Foundation; Version 2.
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#
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# This program is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU General Public License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with this program; if not, write to the Free Software
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# Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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#
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# Contact information:
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# chipsec@intel.com
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#
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"""
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Access to of PCI/PCIe device hierarchy
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- enumerating PCI/PCIe devices
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- read/write access to PCI configuration headers/registers
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- enumerating PCI expansion (option) ROMs
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- identifying PCI/PCIe devices MMIO and I/O ranges (BARs)
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usage:
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>>> self.cs.pci.read_byte( 0, 0, 0, 0x88 )
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>>> self.cs.pci.write_byte( 0, 0, 0, 0x88, 0x1A )
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>>> self.cs.pci.enumerate_devices()
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>>> self.cs.pci.enumerate_xroms()
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>>> self.cs.pci.find_XROM( 2, 0, 0, True, True, 0xFED00000 )
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>>> self.cs.pci.get_device_bars( 2, 0, 0 )
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>>> self.cs.pci.get_DIDVID( 2, 0, 0 )
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>>> self.cs.pci.is_enabled( 2, 0, 0 )
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"""
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import struct
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from collections import namedtuple
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import itertools
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from typing import List, Tuple, Optional
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from chipsec.library.logger import logger, pretty_print_hex_buffer
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from chipsec.library.file import write_file
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from chipsec.hal.pcidb import VENDORS, DEVICES
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from chipsec.library.exceptions import OsHelperError
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from chipsec.library.defines import is_all_ones, MASK_16b, MASK_32b, MASK_64b, BOUNDARY_4KB
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#
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# PCI configuration header registers
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#
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# Common (type 0/1) registers
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PCI_HDR_VID_OFF = 0x0
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PCI_HDR_DID_OFF = 0x2
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PCI_HDR_CMD_OFF = 0x4
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PCI_HDR_STS_OFF = 0x6
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PCI_HDR_RID_OFF = 0x8
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PCI_HDR_CLSCODE_OFF = 0x9
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PCI_HDR_PI_OFF = 0x9
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PCI_HDR_SUB_CLS_OFF = 0xA
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PCI_HDR_CLS_OFF = 0xB
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PCI_HDR_CLSIZE_OFF = 0xC
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PCI_HDR_MLT_OFF = 0xD
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PCI_HDR_TYPE_OFF = 0xE
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PCI_HDR_BIST_OFF = 0xF
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PCI_HDR_CAP_OFF = 0x34
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PCI_HDR_INTRLN_OFF = 0x3C
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PCI_HDR_INTRPIN_OFF = 0x3D
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PCI_HDR_BAR0_LO_OFF = 0x10
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PCI_HDR_BAR0_HI_OFF = 0x14
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# PCIe BAR register fields
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PCI_HDR_BAR_CFGBITS_MASK = 0xF
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PCI_HDR_BAR_IOMMIO_MASK = 0x1
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PCI_HDR_BAR_IOMMIO_MMIO = 0
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PCI_HDR_BAR_IOMMIO_IO = 1
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PCI_HDR_BAR_TYPE_MASK = (0x3 << 1)
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PCI_HDR_BAR_TYPE_SHIFT = 1
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PCI_HDR_BAR_TYPE_64B = 2
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PCI_HDR_BAR_TYPE_1MB = 1
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PCI_HDR_BAR_TYPE_32B = 0
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PCI_HDR_BAR_BASE_MASK_MMIO64 = 0xFFFFFFFFFFFFFFF0
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PCI_HDR_BAR_BASE_MASK_MMIO = 0xFFFFFFF0
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PCI_HDR_BAR_BASE_MASK_IO = 0xFFFC
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# Type 0 specific registers
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PCI_HDR_TYPE0_BAR1_LO_OFF = 0x18
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PCI_HDR_TYPE0_BAR1_HI_OFF = 0x1C
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PCI_HDR_TYPE0_BAR2_LO_OFF = 0x20
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PCI_HDR_TYPE0_BAR2_HI_OFF = 0x24
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PCI_HDR_TYPE0_XROM_BAR_OFF = 0x30
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# Type 1 specific registers
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PCI_HDR_TYPE1_XROM_BAR_OFF = 0x38
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# Field defines
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PCI_HDR_CMD_MS_MASK = 0x2
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PCI_HDR_TYPE_TYPE_MASK = 0x7F
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PCI_HDR_TYPE_MF_MASK = 0x80
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PCI_TYPE0 = 0x0
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PCI_TYPE1 = 0x1
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PCI_HDR_XROM_BAR_EN_MASK = 0x00000001
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PCI_HDR_XROM_BAR_BASE_MASK = 0xFFFFF000
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PCI_HDR_BAR_STEP = 0x4
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#
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# Generic/standard PCI Expansion (Option) ROM
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#
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XROM_SIGNATURE = 0xAA55
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PCI_XROM_HEADER_FMT = '<H22sH'
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PCI_XROM_HEADER_SIZE = struct.calcsize(PCI_XROM_HEADER_FMT)
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class PCI_XROM_HEADER(namedtuple('PCI_XROM_HEADER', 'Signature ArchSpecific PCIROffset')):
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__slots__ = ()
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def __str__(self) -> str:
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return f"""
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PCI XROM
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-----------------------------------
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Signature : 0x{self.Signature:04X} (= 0xAA55)
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ArchSpecific : {self.ArchSpecific.encode('hex').upper()}
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PCIR Offset : 0x{self.PCIROffset:04X}
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"""
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# @TBD: PCI Data Structure
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#
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# EFI specific PCI Expansion (Option) ROM
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#
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EFI_XROM_SIGNATURE = 0x0EF1
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EFI_XROM_HEADER_FMT = '<HHIHHHBHH'
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EFI_XROM_HEADER_SIZE = struct.calcsize(EFI_XROM_HEADER_FMT)
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class EFI_XROM_HEADER(namedtuple('EFI_XROM_HEADER', 'Signature InitSize EfiSignature EfiSubsystem EfiMachineType CompressType Reserved EfiImageHeaderOffset PCIROffset')):
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__slots__ = ()
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def __str__(self) -> str:
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return f"""
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EFI PCI XROM
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---------------------------------------
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Signature : 0x{self.Signature:04X} (= 0xAA55)
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Init Size : 0x{self.InitSize:04X} (x 512 B)
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EFI Signature : 0x{self.EfiSignature:08X} (= 0x0EF1)
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EFI Subsystem : 0x{self.EfiSubsystem:04X}
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EFI Machine Type : 0x{self.EfiMachineType:04X}
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Compression Type : 0x{self.CompressType:04X}
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Reserved : 0x{self.Reserved:02X}
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EFI Image Hdr Offset: 0x{self.EfiImageHeaderOffset:04X}
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PCIR Offset : 0x{self.PCIROffset:04X}
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"""
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#
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# Legacy PCI Expansion (Option) ROM
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#
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XROM_HEADER_FMT = '<HBI17sH'
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XROM_HEADER_SIZE = struct.calcsize(XROM_HEADER_FMT)
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class XROM_HEADER(namedtuple('XROM_HEADER', 'Signature InitSize InitEP Reserved PCIROffset')):
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__slots__ = ()
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def __str__(self) -> str:
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return f"""
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XROM
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--------------------------------------
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Signature : 0x{self.Signature:04X}
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Init Size : 0x{self.InitSize:02X} (x 512 B)
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Init Entry-point : 0x{self.InitEP:08X}
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Reserved : {self.Reserved.encode('hex').upper()}
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PCIR Offset : 0x{self.PCIROffset:04X}
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"""
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class XROM:
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def __init__(self, bus, dev, fun, en, base, size):
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self.bus: int = bus
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self.dev: int = dev
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self.fun: int = fun
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self.vid: int = 0xFFFF
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self.did: int = 0xFFFF
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self.en: int = en
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self.base: int = base
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self.size: int = size
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self.header: Optional[PCI_XROM_HEADER] = None
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def get_vendor_name_by_vid(vid: int) -> str:
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if vid in VENDORS:
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return VENDORS[vid]
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return ''
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def get_device_name_by_didvid(vid: int, did: int) -> str:
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if vid in DEVICES:
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if did in DEVICES[vid]:
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return DEVICES[vid][did]
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return ''
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def print_pci_devices(_devices: List[Tuple[int, int, int, int, int]]) -> None:
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logger().log("BDF | VID:DID | Vendor | Device")
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logger().log("-------------------------------------------------------------------------")
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for (b, d, f, vid, did, _) in _devices:
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vendor_name = get_vendor_name_by_vid(vid)
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device_name = get_device_name_by_didvid(vid, did)
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logger().log(f'{b:02X}:{d:02X}.{f:X} | {vid:04X}:{did:04X} | {vendor_name:28} | {device_name}')
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def print_pci_XROMs(_xroms: List[XROM]) -> None:
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if len(_xroms) == 0:
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return None
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logger().log("BDF | VID:DID | XROM base | XROM size | en ")
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logger().log("-------------------------------------------------")
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for xrom in _xroms:
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logger().log(f'{xrom.bus:02X}:{xrom.dev:02X}.{xrom.fun:X} | {xrom.vid:04X}:{xrom.did:04X} | {xrom.base:08X} | {xrom.size:08X} | {xrom.en:d}')
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class Pci:
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def __init__(self, cs):
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self.cs = cs
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self.helper = cs.helper
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#
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# Access to PCI configuration registers
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#
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def read_dword(self, bus: int, device: int, function: int, address: int) -> int:
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value = self.helper.read_pci_reg(bus, device, function, address, 4)
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logger().log_hal(f'[pci] reading B/D/F: {bus:d}/{device:d}/{function:d}, offset: 0x{address:02X}, value: 0x{value:08X}')
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return value
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def read_word(self, bus: int, device: int, function: int, address: int) -> int:
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word_value = self.helper.read_pci_reg(bus, device, function, address, 2)
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logger().log_hal(f'[pci] reading B/D/F: {bus:d}/{device:d}/{function:d}, offset: 0x{address:02X}, value: 0x{word_value:04X}')
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return word_value
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def read_byte(self, bus: int, device: int, function: int, address: int) -> int:
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byte_value = self.helper.read_pci_reg(bus, device, function, address, 1)
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logger().log_hal(f'[pci] reading B/D/F: {bus:d}/{device:d}/{function:d}, offset: 0x{address:02X}, value: 0x{byte_value:02X}')
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return byte_value
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def write_byte(self, bus: int, device: int, function: int, address: int, byte_value: int) -> None:
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self.helper.write_pci_reg(bus, device, function, address, byte_value, 1)
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logger().log_hal(f'[pci] writing B/D/F: {bus:d}/{device:d}/{function:d}, offset: 0x{address:02X}, value: 0x{byte_value:02X}')
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return None
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def write_word(self, bus: int, device: int, function: int, address: int, word_value: int) -> None:
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self.helper.write_pci_reg(bus, device, function, address, word_value, 2)
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logger().log_hal(f'[pci] writing B/D/F: {bus:d}/{device:d}/{function:d}, offset: 0x{address:02X}, value: 0x{word_value:04X}')
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return None
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def write_dword(self, bus: int, device: int, function: int, address: int, dword_value: int) -> None:
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self.helper.write_pci_reg(bus, device, function, address, dword_value, 4)
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logger().log_hal(f'[pci] writing B/D/F: {bus:d}/{device:d}/{function:d}, offset: 0x{address:02X}, value: 0x{dword_value:08X}')
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return None
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#
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# Enumerating PCI devices and dumping configuration space
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#
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def enumerate_devices(self, bus: Optional[int] = None, device: Optional[int] = None, function: Optional[int] = None, spec: Optional[bool] = True) -> List[Tuple[int, int, int, int, int, int]]:
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devices = []
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if bus is not None:
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bus_range = [bus]
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else:
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bus_range = range(256)
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if device is not None:
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dev_range = [device]
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else:
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dev_range = range(32)
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if function is not None:
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func_range = [function]
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else:
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func_range = range(8)
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for b, d in itertools.product(bus_range, dev_range):
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for f in func_range:
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try:
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did_vid = self.read_dword(b, d, f, 0x0)
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if 0xFFFFFFFF != did_vid:
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vid = did_vid & 0xFFFF
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did = (did_vid >> 16) & 0xFFFF
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rid = self.read_byte(b, d, f, 0x8)
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devices.append((b, d, f, vid, did, rid))
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elif f == 0 and spec:
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break
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except OsHelperError:
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logger().log_hal(f"[pci] unable to access B/D/F: {b:d}/{d:d}/{f:d}")
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return devices
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def dump_pci_config(self, bus: int, device: int, function: int) -> List[int]:
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cfg = []
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for off in range(0, 0x100, 4):
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tmp_val = self.read_dword(bus, device, function, off)
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for shift in range(0, 32, 8):
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cfg.append((tmp_val >> shift) & 0xFF)
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return cfg
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def print_pci_config_all(self) -> None:
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logger().log("[pci] enumerating available PCI devices...")
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pci_devices = self.enumerate_devices()
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for (b, d, f, vid, did, rid) in pci_devices:
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cfg_buf = self.dump_pci_config(b, d, f)
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logger().log(f"\n[pci] PCI device {b:02X}:{d:02X}.{f:02X} configuration:")
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pretty_print_hex_buffer(cfg_buf)
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#
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# PCI Expansion ROM functions
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#
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def parse_XROM(self, xrom: XROM, xrom_dump: bool = False) -> Optional[PCI_XROM_HEADER]:
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xrom_sig = self.cs.mem.read_physical_mem_word(xrom.base)
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if xrom_sig != XROM_SIGNATURE:
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return None
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xrom_hdr_buf = self.cs.mem.read_physical_mem(xrom.base, PCI_XROM_HEADER_SIZE)
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xrom_hdr = PCI_XROM_HEADER(*struct.unpack_from(PCI_XROM_HEADER_FMT, xrom_hdr_buf))
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if xrom_dump:
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xrom_fname = f'xrom_{xrom.bus:X}-{xrom.dev:X}-{xrom.fun:X}_{xrom.vid:X}{xrom.did:X}.bin'
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xrom_buf = self.cs.mem.read_physical_mem(xrom.base, xrom.size) # use xrom_hdr.InitSize ?
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write_file(xrom_fname, xrom_buf)
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return xrom_hdr
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def find_XROM(self, bus: int, dev: int, fun: int, try_init: bool = False, xrom_dump: bool = False, xrom_addr: Optional[int] = None) -> Tuple[bool, Optional[XROM]]:
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# return results
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xrom_found, xrom = False, None
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logger().log_hal(f'[pci] checking XROM in {bus:02X}:{dev:02X}.{fun:02X}')
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cmd = self.read_word(bus, dev, fun, PCI_HDR_CMD_OFF)
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ms = (cmd & PCI_HDR_CMD_MS_MASK) == PCI_HDR_CMD_MS_MASK
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logger().log_hal(f'[pci] PCI CMD (memory space = {ms:d}): 0x{cmd:04X}')
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hdr_type = self.read_byte(bus, dev, fun, PCI_HDR_TYPE_OFF)
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_mf = hdr_type & PCI_HDR_TYPE_MF_MASK
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_type = hdr_type & PCI_HDR_TYPE_TYPE_MASK
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xrom_bar_off = PCI_HDR_TYPE1_XROM_BAR_OFF if _type == PCI_TYPE1 else PCI_HDR_TYPE0_XROM_BAR_OFF
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xrom_bar = self.read_dword(bus, dev, fun, xrom_bar_off)
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xrom_exists = (xrom_bar != 0)
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if xrom_exists:
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logger().log_hal(f'[pci] device programmed XROM BAR: 0x{xrom_bar:08X}')
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else:
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logger().log_hal(f'[pci] device did not program XROM BAR: 0x{xrom_bar:08X}')
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if try_init:
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self.write_dword(bus, dev, fun, xrom_bar_off, PCI_HDR_XROM_BAR_BASE_MASK)
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xrom_bar = self.read_dword(bus, dev, fun, xrom_bar_off)
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xrom_exists = (xrom_bar != 0)
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logger().log_hal(f'[pci] returned 0x{xrom_bar:08X} after writing {PCI_HDR_XROM_BAR_BASE_MASK:08X}')
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if xrom_exists and (xrom_addr is not None):
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# device indicates XROM may exist. Initialize its base with supplied MMIO address
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size_align = ~(xrom_bar & PCI_HDR_XROM_BAR_BASE_MASK) # actual XROM alignment
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if (xrom_addr & size_align) != 0:
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logger().log_warning(f'XROM address 0x{xrom_addr:08X} must be aligned at 0x{size_align:08X}')
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return False, None
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self.write_dword(bus, dev, fun, xrom_bar_off, (xrom_addr | PCI_HDR_XROM_BAR_EN_MASK))
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xrom_bar = self.read_dword(bus, dev, fun, xrom_bar_off)
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logger().log_hal(f'[pci] programmed XROM BAR with 0x{xrom_bar:08X}')
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#
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# At this point, a device indicates that XROM exists. Let's check if XROM is really there
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#
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xrom_en = (xrom_bar & PCI_HDR_XROM_BAR_EN_MASK) == 0x1
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xrom_base = xrom_bar & PCI_HDR_XROM_BAR_BASE_MASK
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xrom_size = ~xrom_base + 1
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if xrom_exists:
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logger().log_hal(f'[pci] XROM: BAR = 0x{xrom_bar:08X}, base = 0x{xrom_base:08X}, size = 0x{xrom_size:X}, en = {xrom_en:d}')
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xrom = XROM(bus, dev, fun, xrom_en, xrom_base, xrom_size)
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if xrom_en and (xrom_base != PCI_HDR_XROM_BAR_BASE_MASK):
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xrom.header = self.parse_XROM(xrom, xrom_dump)
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xrom_found = (xrom is not None) and (xrom.header is not None)
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if xrom_found:
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logger().log_hal(f"[pci] XROM found at 0x{xrom_base:08X}")
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logger().log_hal(str(xrom.header))
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if not xrom_found:
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logger().log_hal('[pci] XROM was not found')
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return xrom_found, xrom
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def enumerate_xroms(self, try_init: bool = False, xrom_dump: bool = False, xrom_addr: Optional[int] = None) -> List[Optional[XROM]]:
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pci_xroms = []
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logger().log("[pci] enumerating available PCI devices...")
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pci_devices = self.enumerate_devices()
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for (b, d, f, vid, did, rid) in pci_devices:
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exists, xrom = self.find_XROM(b, d, f, try_init, xrom_dump, xrom_addr)
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if exists and (xrom is not None):
|
|
xrom.vid = vid
|
|
xrom.did = did
|
|
pci_xroms.append(xrom)
|
|
return pci_xroms
|
|
|
|
def get_header_type(self, bus, dev, fun):
|
|
res = self.read_byte(bus, dev, fun, PCI_HDR_TYPE_OFF)
|
|
return res & PCI_HDR_TYPE_TYPE_MASK
|
|
|
|
#
|
|
# Calculates actual size of MMIO BAR range
|
|
def calc_bar_size(self, bus: int, dev: int, fun: int, off: int, is64: bool, isMMIO: bool) -> int:
|
|
logger().log_hal(f'calc_bar_size {bus}:{dev}.{fun} offset{off}')
|
|
# Read the original value of the register
|
|
orig_regL = self.read_dword(bus, dev, fun, off)
|
|
logger().log_hal(f'orig_regL: {orig_regL:X}')
|
|
if is64:
|
|
orig_regH = self.read_dword(bus, dev, fun, off + PCI_HDR_BAR_STEP)
|
|
logger().log_hal(f'orig_regH: {orig_regH:X}')
|
|
# Write all 1's to the register
|
|
self.write_dword(bus, dev, fun, off + PCI_HDR_BAR_STEP, MASK_32b)
|
|
if is64:
|
|
self.write_dword(bus, dev, fun, off, MASK_32b)
|
|
# Read the register back
|
|
regL = self.read_dword(bus, dev, fun, off)
|
|
logger().log_hal(f'regL: {regL:X}')
|
|
if is64:
|
|
regH = self.read_dword(bus, dev, fun, off + PCI_HDR_BAR_STEP)
|
|
logger().log_hal(f'regH: {regH:X}')
|
|
# Write original value back to register
|
|
self.write_dword(bus, dev, fun, off, orig_regL)
|
|
if is64:
|
|
self.write_dword(bus, dev, fun, off + PCI_HDR_BAR_STEP, orig_regH)
|
|
# Calculate Sizing
|
|
if isMMIO and is64:
|
|
reg = regL | (regH << 32)
|
|
orig_reg = orig_regL | (orig_regH << 32)
|
|
if orig_reg == reg:
|
|
size = BOUNDARY_4KB
|
|
else:
|
|
size = (~(reg & PCI_HDR_BAR_BASE_MASK_MMIO64) & MASK_64b) + 1
|
|
elif isMMIO:
|
|
if regL == orig_regL:
|
|
size = BOUNDARY_4KB
|
|
else:
|
|
size = (~(regL & PCI_HDR_BAR_BASE_MASK_MMIO) & MASK_32b) + 1
|
|
else:
|
|
if regL == orig_regL:
|
|
size = 0x100
|
|
else:
|
|
size = (~(regL & PCI_HDR_BAR_BASE_MASK_IO) & MASK_16b) + 1
|
|
return size
|
|
|
|
# Returns all I/O and MMIO BARs defined in the PCIe header of the device
|
|
# Returns array of elements in format (BAR_address, isMMIO, is64bit, BAR_reg_offset, BAR_reg_value)
|
|
def get_device_bars(self, bus: int, dev: int, fun: int, bCalcSize: bool = False) -> List[Tuple[int, bool, bool, int, int, int]]:
|
|
_bars = []
|
|
hdr_type = self.get_header_type(bus, dev, fun)
|
|
if hdr_type == 0:
|
|
bounds = PCI_HDR_TYPE0_BAR2_HI_OFF
|
|
elif hdr_type == 1:
|
|
bounds = PCI_HDR_TYPE0_BAR1_LO_OFF
|
|
else:
|
|
bounds = PCI_HDR_BAR0_LO_OFF
|
|
|
|
off = PCI_HDR_BAR0_LO_OFF
|
|
size = BOUNDARY_4KB
|
|
while off <= bounds:
|
|
reg = self.read_dword(bus, dev, fun, off)
|
|
if reg and reg != MASK_32b:
|
|
# BAR is initialized
|
|
isMMIO = (PCI_HDR_BAR_IOMMIO_MMIO == (reg & PCI_HDR_BAR_IOMMIO_MASK))
|
|
if isMMIO:
|
|
# MMIO BAR
|
|
mem_type = (reg & PCI_HDR_BAR_TYPE_MASK) >> PCI_HDR_BAR_TYPE_SHIFT
|
|
if PCI_HDR_BAR_TYPE_64B == mem_type:
|
|
# 64-bit MMIO BAR
|
|
if bCalcSize and hdr_type == 0:
|
|
size = self.calc_bar_size(bus, dev, fun, off, True, True)
|
|
off += PCI_HDR_BAR_STEP
|
|
reg_hi = self.read_dword(bus, dev, fun, off)
|
|
reg |= (reg_hi << 32)
|
|
base = (reg & PCI_HDR_BAR_BASE_MASK_MMIO64)
|
|
if base != 0:
|
|
_bars.append((base, isMMIO, True, off - PCI_HDR_BAR_STEP, reg, size))
|
|
elif PCI_HDR_BAR_TYPE_1MB == mem_type:
|
|
# MMIO BAR below 1MB - not supported
|
|
pass
|
|
elif PCI_HDR_BAR_TYPE_32B == mem_type:
|
|
# 32-bit only MMIO BAR
|
|
base = (reg & PCI_HDR_BAR_BASE_MASK_MMIO)
|
|
if base != 0:
|
|
if bCalcSize and hdr_type == 0:
|
|
size = self.calc_bar_size(bus, dev, fun, off, False, True)
|
|
_bars.append((base, isMMIO, False, off, reg, size))
|
|
else:
|
|
# I/O BAR
|
|
base = (reg & PCI_HDR_BAR_BASE_MASK_IO)
|
|
if base != 0:
|
|
if bCalcSize and hdr_type == 0:
|
|
size = self.calc_bar_size(bus, dev, fun, off, False, False)
|
|
else:
|
|
size = 0x100
|
|
_bars.append((base, isMMIO, False, off, reg, size))
|
|
off += PCI_HDR_BAR_STEP
|
|
return _bars
|
|
|
|
def get_DIDVID(self, bus: int, dev: int, fun: int) -> Tuple[int, int]:
|
|
didvid = self.read_dword(bus, dev, fun, 0x0)
|
|
vid = didvid & 0xFFFF
|
|
did = (didvid >> 16) & 0xFFFF
|
|
return (did, vid)
|
|
|
|
def is_enabled(self, bus: int, dev: int, fun: int) -> bool:
|
|
(did, vid) = self.get_DIDVID(bus, dev, fun)
|
|
if (is_all_ones(vid, 2)) or (is_all_ones(did, 2)):
|
|
return False
|
|
return True
|