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// Copyright (c) 2014-2020 ETH Zurich, University of Bologna
//
// Copyright and related rights are licensed under the Solderpad Hardware
// License, Version 0.51 (the "License"); you may not use this file except in
// compliance with the License. You may obtain a copy of the License at
// http://solderpad.org/licenses/SHL-0.51. Unless required by applicable law
// or agreed to in writing, software, hardware and materials distributed under
// this License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR
// CONDITIONS OF ANY KIND, either express or implied. See the License for the
// specific language governing permissions and limitations under the License.
//
// Authors:
// - Andreas Kurth <[email protected]>
// - Florian Zaruba <[email protected]>
// - Thomas Benz <[email protected]>
// - Wolfgang Roenninger <[email protected]>
// - Fabian Schuiki <[email protected]>
// - Cyril Koenig <[email protected]>
// - Matheus Cavalcante <[email protected]>
//! AXI Package
/// Contains all necessary type definitions, constants, and generally useful functions.
package axi_pkg;
/// AXI Transaction Burst Width.
parameter int unsigned BurstWidth = 32'd2;
/// AXI Transaction Response Width.
parameter int unsigned RespWidth = 32'd2;
/// AXI Transaction Cacheability Width.
parameter int unsigned CacheWidth = 32'd4;
/// AXI Transaction Protection Width.
parameter int unsigned ProtWidth = 32'd3;
/// AXI Transaction Quality of Service Width.
parameter int unsigned QosWidth = 32'd4;
/// AXI Transaction Region Width.
parameter int unsigned RegionWidth = 32'd4;
/// AXI Transaction Length Width.
parameter int unsigned LenWidth = 32'd8;
/// AXI Transaction Size Width.
parameter int unsigned SizeWidth = 32'd3;
/// AXI Lock Width.
parameter int unsigned LockWidth = 32'd1;
/// AXI5 Atomic Operation Width.
parameter int unsigned AtopWidth = 32'd6;
/// AXI5 Non-Secure Address Identifier.
parameter int unsigned NsaidWidth = 32'd4;
/// AXI Transaction Burst Width.
typedef logic [1:0] burst_t;
/// AXI Transaction Response Type.
typedef logic [1:0] resp_t;
/// AXI Transaction Cacheability Type.
typedef logic [3:0] cache_t;
/// AXI Transaction Protection Type.
typedef logic [2:0] prot_t;
/// AXI Transaction Quality of Service Type.
typedef logic [3:0] qos_t;
/// AXI Transaction Region Type.
typedef logic [3:0] region_t;
/// AXI Transaction Length Type.
typedef logic [7:0] len_t;
/// AXI Transaction Size Type.
typedef logic [2:0] size_t;
/// AXI5 Atomic Operation Type.
typedef logic [5:0] atop_t; // atomic operations
/// AXI5 Non-Secure Address Identifier.
typedef logic [3:0] nsaid_t;
/// In a fixed burst:
/// - The address is the same for every transfer in the burst.
/// - The byte lanes that are valid are constant for all beats in the burst. However, within
/// those byte lanes, the actual bytes that have `wstrb` asserted can differ for each beat in
/// the burst.
/// This burst type is used for repeated accesses to the same location such as when loading or
/// emptying a FIFO.
localparam BURST_FIXED = 2'b00;
/// In an incrementing burst, the address for each transfer in the burst is an increment of the
/// address for the previous transfer. The increment value depends on the size of the transfer.
/// For example, the address for each transfer in a burst with a size of 4 bytes is the previous
/// address plus four.
/// This burst type is used for accesses to normal sequential memory.
localparam BURST_INCR = 2'b01;
/// A wrapping burst is similar to an incrementing burst, except that the address wraps around to
/// a lower address if an upper address limit is reached.
/// The following restrictions apply to wrapping bursts:
/// - The start address must be aligned to the size of each transfer.
/// - The length of the burst must be 2, 4, 8, or 16 transfers.
localparam BURST_WRAP = 2'b10;
/// Normal access success. Indicates that a normal access has been successful. Can also indicate
/// that an exclusive access has failed.
localparam RESP_OKAY = 2'b00;
/// Exclusive access okay. Indicates that either the read or write portion of an exclusive access
/// has been successful.
localparam RESP_EXOKAY = 2'b01;
/// Slave error. Used when the access has reached the slave successfully, but the slave wishes to
/// return an error condition to the originating master.
localparam RESP_SLVERR = 2'b10;
/// Decode error. Generated, typically by an interconnect component, to indicate that there is no
/// slave at the transaction address.
localparam RESP_DECERR = 2'b11;
/// When this bit is asserted, the interconnect, or any component, can delay the transaction
/// reaching its final destination for any number of cycles.
localparam CACHE_BUFFERABLE = 4'b0001;
/// When HIGH, Modifiable indicates that the characteristics of the transaction can be modified.
/// When Modifiable is LOW, the transaction is Non-modifiable.
localparam CACHE_MODIFIABLE = 4'b0010;
/// When this bit is asserted, read allocation of the transaction is recommended but is not
/// mandatory.
localparam CACHE_RD_ALLOC = 4'b0100;
/// When this bit is asserted, write allocation of the transaction is recommended but is not
/// mandatory.
localparam CACHE_WR_ALLOC = 4'b1000;
/// Maximum number of bytes per burst, as specified by `size` (see Table A3-2).
function automatic shortint unsigned num_bytes(size_t size);
return 1 << size;
endfunction
/// An overly long address type.
/// It lets us define functions that work generically for shorter addresses. We rely on the
/// synthesizer to optimize the unused bits away.
typedef logic [127:0] largest_addr_t;
/// Aligned address of burst (see A3-51).
function automatic largest_addr_t aligned_addr(largest_addr_t addr, size_t size);
return (addr >> size) << size;
endfunction
/// Warp boundary of a `BURST_WRAP` transfer (see A3-51).
/// This is the lowest address accessed within a wrapping burst.
/// This address is aligned to the size and length of the burst.
/// The length of a `BURST_WRAP` has to be 2, 4, 8, or 16 transfers.
function automatic largest_addr_t wrap_boundary (largest_addr_t addr, size_t size, len_t len);
largest_addr_t wrap_addr;
// pragma translate_off
`ifndef VERILATOR
assume (len == len_t'(4'b1) || len == len_t'(4'b11) || len == len_t'(4'b111) ||
len == len_t'(4'b1111)) else
$error("AXI BURST_WRAP with not allowed len of: %0h", len);
`endif
// pragma translate_on
// In A3-51 the wrap boundary is defined as:
// `Wrap_Boundary = (INT(Start_Address / (Number_Bytes × Burst_Length))) ×
// (Number_Bytes × Burst_Length)`
// Whereas the aligned address is defined as:
// `Aligned_Address = (INT(Start_Address / Number_Bytes)) × Number_Bytes`
// This leads to the wrap boundary using the same calculation as the aligned address, difference
// being the additional dependency on the burst length. The addition in the case statement
// is equal to the multiplication with `Burst_Length` as a shift (used by `aligned_addr`) is
// equivalent with multiplication and division by a power of two, which conveniently are the
// only allowed values for `len` of a `BURST_WRAP`.
unique case (len)
4'b1 : wrap_addr = (addr >> (unsigned'(size) + 1)) << (unsigned'(size) + 1); // multiply `Number_Bytes` by `2`
4'b11 : wrap_addr = (addr >> (unsigned'(size) + 2)) << (unsigned'(size) + 2); // multiply `Number_Bytes` by `4`
4'b111 : wrap_addr = (addr >> (unsigned'(size) + 3)) << (unsigned'(size) + 3); // multiply `Number_Bytes` by `8`
4'b1111 : wrap_addr = (addr >> (unsigned'(size) + 4)) << (unsigned'(size) + 4); // multiply `Number_Bytes` by `16`
default : wrap_addr = '0;
endcase
return wrap_addr;
endfunction
/// Address of beat (see A3-51).
function automatic largest_addr_t
beat_addr(largest_addr_t addr, size_t size, len_t len, burst_t burst, shortint unsigned i_beat);
largest_addr_t ret_addr = addr;
largest_addr_t wrp_bond = '0;
if (burst == BURST_WRAP) begin
// do not trigger the function if there is no wrapping burst, to prevent assumptions firing
wrp_bond = wrap_boundary(addr, size, len);
end
if (i_beat != 0 && burst != BURST_FIXED) begin
// From A3-51:
// For an INCR burst, and for a WRAP burst for which the address has not wrapped, this
// equation determines the address of any transfer after the first transfer in a burst:
// `Address_N = Aligned_Address + (N – 1) × Number_Bytes` (N counts from 1 to len!)
ret_addr = aligned_addr(addr, size) + i_beat * num_bytes(size);
// From A3-51:
// For a WRAP burst, if Address_N = Wrap_Boundary + (Number_Bytes × Burst_Length), then:
// * Use this equation for the current transfer:
// `Address_N = Wrap_Boundary`
// * Use this equation for any subsequent transfers:
// `Address_N = Start_Address + ((N – 1) × Number_Bytes) – (Number_Bytes × Burst_Length)`
// This means that the address calculation of a `BURST_WRAP` fundamentally works the same
// as for a `BURST_INC`, the difference is when the calculated address increments
// over the wrap threshold, the address wraps around by subtracting the accessed address
// space from the normal `BURST_INCR` address. The lower wrap boundary is equivalent to
// The wrap trigger condition minus the container size (`num_bytes(size) * (len + 1)`).
if (burst == BURST_WRAP && ret_addr >= wrp_bond + (num_bytes(size) * (len + 1))) begin
ret_addr = ret_addr - (num_bytes(size) * (len + 1));
end
end
return ret_addr;
endfunction
/// Index of lowest byte in beat (see A3-51).
function automatic shortint unsigned
beat_lower_byte(largest_addr_t addr, size_t size, len_t len, burst_t burst,
shortint unsigned strobe_width, shortint unsigned i_beat);
largest_addr_t _addr = beat_addr(addr, size, len, burst, i_beat);
return shortint'(_addr - (_addr / strobe_width) * strobe_width);
endfunction
/// Index of highest byte in beat (see A3-51).
function automatic shortint unsigned
beat_upper_byte(largest_addr_t addr, size_t size, len_t len, burst_t burst,
shortint unsigned strobe_width, shortint unsigned i_beat);
if (i_beat == 0) begin
return aligned_addr(addr, size) + (num_bytes(size) - 1) - (addr / strobe_width) * strobe_width;
end else begin
return beat_lower_byte(addr, size, len, burst, strobe_width, i_beat) + num_bytes(size) - 1;
end
endfunction
/// Is the bufferable bit set?
function automatic logic bufferable(cache_t cache);
return |(cache & CACHE_BUFFERABLE);
endfunction
/// Is the modifiable bit set?
function automatic logic modifiable(cache_t cache);
return |(cache & CACHE_MODIFIABLE);
endfunction
/// Memory Type.
typedef enum logic [3:0] {
DEVICE_NONBUFFERABLE,
DEVICE_BUFFERABLE,
NORMAL_NONCACHEABLE_NONBUFFERABLE,
NORMAL_NONCACHEABLE_BUFFERABLE,
WTHRU_NOALLOCATE,
WTHRU_RALLOCATE,
WTHRU_WALLOCATE,
WTHRU_RWALLOCATE,
WBACK_NOALLOCATE,
WBACK_RALLOCATE,
WBACK_WALLOCATE,
WBACK_RWALLOCATE
} mem_type_t;
/// Create an `AR_CACHE` field from a `mem_type_t` type.
function automatic logic [3:0] get_arcache(mem_type_t mtype);
unique case (mtype)
DEVICE_NONBUFFERABLE : return 4'b0000;
DEVICE_BUFFERABLE : return 4'b0001;
NORMAL_NONCACHEABLE_NONBUFFERABLE : return 4'b0010;
NORMAL_NONCACHEABLE_BUFFERABLE : return 4'b0011;
WTHRU_NOALLOCATE : return 4'b1010;
WTHRU_RALLOCATE : return 4'b1110;
WTHRU_WALLOCATE : return 4'b1010;
WTHRU_RWALLOCATE : return 4'b1110;
WBACK_NOALLOCATE : return 4'b1011;
WBACK_RALLOCATE : return 4'b1111;
WBACK_WALLOCATE : return 4'b1011;
WBACK_RWALLOCATE : return 4'b1111;
endcase // mtype
endfunction
/// Create an `AW_CACHE` field from a `mem_type_t` type.
function automatic logic [3:0] get_awcache(mem_type_t mtype);
unique case (mtype)
DEVICE_NONBUFFERABLE : return 4'b0000;
DEVICE_BUFFERABLE : return 4'b0001;
NORMAL_NONCACHEABLE_NONBUFFERABLE : return 4'b0010;
NORMAL_NONCACHEABLE_BUFFERABLE : return 4'b0011;
WTHRU_NOALLOCATE : return 4'b0110;
WTHRU_RALLOCATE : return 4'b0110;
WTHRU_WALLOCATE : return 4'b1110;
WTHRU_RWALLOCATE : return 4'b1110;
WBACK_NOALLOCATE : return 4'b0111;
WBACK_RALLOCATE : return 4'b0111;
WBACK_WALLOCATE : return 4'b1111;
WBACK_RWALLOCATE : return 4'b1111;
endcase // mtype
endfunction
/// RESP precedence: DECERR > SLVERR > OKAY > EXOKAY. This is not defined in the AXI standard but
/// depends on the implementation. We consistently use the precedence above. Rationale:
/// - EXOKAY means an exclusive access was successful, whereas OKAY means it was not. Thus, if
/// OKAY and EXOKAY are to be merged, OKAY precedes because the exclusive access was not fully
/// successful.
/// - Both DECERR and SLVERR mean (part of) a transaction were unsuccessful, whereas OKAY means an
/// entire transaction was successful. Thus both DECERR and SLVERR precede OKAY.
/// - DECERR means (part of) a transactions could not be routed to a slave component, whereas
/// SLVERR means the transaction reached a slave component but lead to an error condition there.
/// Thus DECERR precedes SLVERR because DECERR happens earlier in the handling of a transaction.
function automatic resp_t resp_precedence(resp_t resp_a, resp_t resp_b);
unique case (resp_a)
RESP_OKAY: begin
// Any response except EXOKAY precedes OKAY.
if (resp_b == RESP_EXOKAY) begin
return resp_a;
end else begin
return resp_b;
end
end
RESP_EXOKAY: begin
// Any response precedes EXOKAY.
return resp_b;
end
RESP_SLVERR: begin
// Only DECERR precedes SLVERR.
if (resp_b == RESP_DECERR) begin
return resp_b;
end else begin
return resp_a;
end
end
RESP_DECERR: begin
// No response precedes DECERR.
return resp_a;
end
endcase
endfunction
/// AW Width: Returns the width of the AW channel payload
function automatic int unsigned aw_width(int unsigned addr_width, int unsigned id_width,
int unsigned user_width );
// Sum the individual bit widths of the signals
return (id_width + addr_width + LenWidth + SizeWidth + BurstWidth + LockWidth + CacheWidth +
ProtWidth + QosWidth + RegionWidth + AtopWidth + user_width );
endfunction
/// W Width: Returns the width of the W channel payload
function automatic int unsigned w_width(int unsigned data_width, int unsigned user_width );
// Sum the individual bit widths of the signals
return (data_width + data_width / 32'd8 + 32'd1 + user_width);
// ^- StrobeWidth ^- LastWidth
endfunction
/// B Width: Returns the width of the B channel payload
function automatic int unsigned b_width(int unsigned id_width, int unsigned user_width );
// Sum the individual bit widths of the signals
return (id_width + RespWidth + user_width);
endfunction
/// AR Width: Returns the width of the AR channel payload
function automatic int unsigned ar_width(int unsigned addr_width, int unsigned id_width,
int unsigned user_width );
// Sum the individual bit widths of the signals
return (id_width + addr_width + LenWidth + SizeWidth + BurstWidth + LockWidth + CacheWidth +
ProtWidth + QosWidth + RegionWidth + user_width );
endfunction
/// R Width: Returns the width of the R channel payload
function automatic int unsigned r_width(int unsigned data_width, int unsigned id_width,
int unsigned user_width );
// Sum the individual bit widths of the signals
return (id_width + data_width + RespWidth + 32'd1 + user_width);
// ^- LastWidth
endfunction
/// Request Width: Returns the width of the request channel
function automatic int unsigned req_width(int unsigned addr_width, int unsigned data_width,
int unsigned id_width, int unsigned aw_user_width,
int unsigned ar_user_width, int unsigned w_user_width );
// Sum the individual bit widths of the signals and their handshakes
// v- valids
return (aw_width(addr_width, id_width, aw_user_width) + 32'd1 +
w_width(data_width, w_user_width) + 32'd1 +
ar_width(addr_width, id_width, ar_user_width) + 32'd1 + 32'd1 + 32'd1 );
// ^- R, ^- B ready
endfunction
/// Response Width: Returns the width of the response channel
function automatic int unsigned rsp_width(int unsigned data_width, int unsigned id_width,
int unsigned r_user_width, int unsigned b_user_width );
// Sum the individual bit widths of the signals and their handshakes
// v- valids
return (r_width(data_width, id_width, r_user_width) + 32'd1 +
b_width(id_width, b_user_width) + 32'd1 + 32'd1 + 32'd1 + 32'd1);
// ^- AW, ^- AR, ^- W ready
endfunction
// ATOP[5:0]
/// - Sends a single data value with an address.
/// - The target swaps the value at the addressed location with the data value that is supplied in
/// the transaction.
/// - The original data value at the addressed location is returned.
/// - Outbound data size is 1, 2, 4, or 8 bytes.
/// - Inbound data size is the same as the outbound data size.
localparam ATOP_ATOMICSWAP = 6'b110000;
/// - Sends two data values, the compare value and the swap value, to the addressed location.
/// The compare and swap values are of equal size.
/// - The data value at the addressed location is checked against the compare value:
/// - If the values match, the swap value is written to the addressed location.
/// - If the values do not match, the swap value is not written to the addressed location.
/// - The original data value at the addressed location is returned.
/// - Outbound data size is 2, 4, 8, 16, or 32 bytes.
/// - Inbound data size is half of the outbound data size because the outbound data contains both
/// compare and swap values, whereas the inbound data has only the original data value.
localparam ATOP_ATOMICCMP = 6'b110001;
// ATOP[5:4]
/// Perform no atomic operation.
localparam ATOP_NONE = 2'b00;
/// - Sends a single data value with an address and the atomic operation to be performed.
/// - The target performs the operation using the sent data and value at the addressed location as
/// operands.
/// - The result is stored in the address location.
/// - A single response is given without data.
/// - Outbound data size is 1, 2, 4, or 8 bytes.
localparam ATOP_ATOMICSTORE = 2'b01;
/// Sends a single data value with an address and the atomic operation to be performed.
/// - The original data value at the addressed location is returned.
/// - The target performs the operation using the sent data and value at the addressed location as
/// operands.
/// - The result is stored in the address location.
/// - Outbound data size is 1, 2, 4, or 8 bytes.
/// - Inbound data size is the same as the outbound data size.
localparam ATOP_ATOMICLOAD = 2'b10;
// ATOP[3]
/// For AtomicStore and AtomicLoad transactions `AWATOP[3]` indicates the endianness that is
/// required for the atomic operation. The value of `AWATOP[3]` applies to arithmetic operations
/// only and is ignored for bitwise logical operations.
/// When deasserted, this bit indicates that the operation is little-endian.
localparam ATOP_LITTLE_END = 1'b0;
/// When asserted, this bit indicates that the operation is big-endian.
localparam ATOP_BIG_END = 1'b1;
// ATOP[2:0]
/// The value in memory is added to the sent data and the result stored in memory.
localparam ATOP_ADD = 3'b000;
/// Every set bit in the sent data clears the corresponding bit of the data in memory.
localparam ATOP_CLR = 3'b001;
/// Bitwise exclusive OR of the sent data and value in memory.
localparam ATOP_EOR = 3'b010;
/// Every set bit in the sent data sets the corresponding bit of the data in memory.
localparam ATOP_SET = 3'b011;
/// The value stored in memory is the maximum of the existing value and sent data. This operation
/// assumes signed data.
localparam ATOP_SMAX = 3'b100;
/// The value stored in memory is the minimum of the existing value and sent data. This operation
/// assumes signed data.
localparam ATOP_SMIN = 3'b101;
/// The value stored in memory is the maximum of the existing value and sent data. This operation
/// assumes unsigned data.
localparam ATOP_UMAX = 3'b110;
/// The value stored in memory is the minimum of the existing value and sent data. This operation
/// assumes unsigned data.
localparam ATOP_UMIN = 3'b111;
// ATOP[5] == 1'b1 indicated that an atomic transaction has a read response
// Ussage eg: if (req_i.aw.atop[axi_pkg::ATOP_R_RESP]) begin
localparam ATOP_R_RESP = 32'd5;
// `xbar_latency_e` and `xbar_cfg_t` are documented in `doc/axi_xbar.md`.
/// Slice on Demux AW channel.
localparam bit [9:0] DemuxAw = (1 << 9);
/// Slice on Demux W channel.
localparam bit [9:0] DemuxW = (1 << 8);
/// Slice on Demux B channel.
localparam bit [9:0] DemuxB = (1 << 7);
/// Slice on Demux AR channel.
localparam bit [9:0] DemuxAr = (1 << 6);
/// Slice on Demux R channel.
localparam bit [9:0] DemuxR = (1 << 5);
/// Slice on Mux AW channel.
localparam bit [9:0] MuxAw = (1 << 4);
/// Slice on Mux W channel.
localparam bit [9:0] MuxW = (1 << 3);
/// Slice on Mux B channel.
localparam bit [9:0] MuxB = (1 << 2);
/// Slice on Mux AR channel.
localparam bit [9:0] MuxAr = (1 << 1);
/// Slice on Mux R channel.
localparam bit [9:0] MuxR = (1 << 0);
/// Latency configuration for `axi_xbar`.
typedef enum bit [9:0] {
NO_LATENCY = 10'b000_00_000_00,
CUT_SLV_AX = DemuxAw | DemuxAr,
CUT_MST_AX = MuxAw | MuxAr,
CUT_ALL_AX = DemuxAw | DemuxAr | MuxAw | MuxAr,
CUT_SLV_PORTS = DemuxAw | DemuxW | DemuxB | DemuxAr | DemuxR,
CUT_MST_PORTS = MuxAw | MuxW | MuxB | MuxAr | MuxR,
CUT_ALL_PORTS = 10'b111_11_111_11
} xbar_latency_e;
/// Configuration for `axi_xbar`.
typedef struct packed {
/// Number of slave ports of the crossbar.
/// This many master modules are connected to it.
int unsigned NoSlvPorts;
/// Number of master ports of the crossbar.
/// This many slave modules are connected to it.
int unsigned NoMstPorts;
/// Maximum number of open transactions each master connected to the crossbar can have in
/// flight at the same time.
int unsigned MaxMstTrans;
/// Maximum number of open transactions each slave connected to the crossbar can have in
/// flight at the same time.
int unsigned MaxSlvTrans;
/// Determine if the internal FIFOs of the crossbar are instantiated in fallthrough mode.
/// 0: No fallthrough
/// 1: Fallthrough
bit FallThrough;
/// The Latency mode of the xbar. This determines if the channels on the ports have
/// a spill register instantiated.
/// Example configurations are provided with the enum `xbar_latency_e`.
bit [9:0] LatencyMode;
/// This is the number of `axi_multicut` stages instantiated in the line cross of the channels.
/// Having multiple stages can potentially add a large number of FFs!
int unsigned PipelineStages;
/// AXI ID width of the salve ports. The ID width of the master ports is determined
/// Automatically. See `axi_mux` for details.
int unsigned AxiIdWidthSlvPorts;
/// The used ID portion to determine if a different salve is used for the same ID.
/// See `axi_demux` for details.
int unsigned AxiIdUsedSlvPorts;
/// Are IDs unique?
bit UniqueIds;
/// AXI4+ATOP address field width.
int unsigned AxiAddrWidth;
/// AXI4+ATOP data field width.
int unsigned AxiDataWidth;
/// The number of address rules defined for routing of the transactions.
/// Each master port can have multiple rules, should have however at least one.
/// If a transaction can not be routed the xbar will answer with an `axi_pkg::RESP_DECERR`.
int unsigned NoAddrRules;
} xbar_cfg_t;
/// Commonly used rule types for `axi_xbar` (64-bit addresses).
typedef struct packed {
int unsigned idx;
logic [63:0] start_addr;
logic [63:0] end_addr;
} xbar_rule_64_t;
/// Commonly used rule types for `axi_xbar` (32-bit addresses).
typedef struct packed {
int unsigned idx;
logic [31:0] start_addr;
logic [31:0] end_addr;
} xbar_rule_32_t;
// Return either the argument minus 1 or 0 if 0; useful for IO vector width declaration
function automatic integer unsigned iomsb (input integer unsigned width);
return (width != 32'd0) ? unsigned'(width-1) : 32'd0;
endfunction
endpackage