Integer Arithmetic Intel® FPGA IP Cores User Guide

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ID 683490
Date 7/30/2024
Public
Document Table of Contents
Document Table of Contents x
1. Integer Arithmetic Intel® FPGA IP Cores 2. LPM_COUNTER (Counter) IP Core 3. LPM_DIVIDE Intel® FPGA IP Core References 4. LPM_MULT (Multiplier) IP Core 5. LPM_ADD_SUB (Adder/Subtractor) 6. LPM_COMPARE (Comparator) 7. ALTECC (Error Correction Code: Encoder/Decoder) IP Core 8. Intel FPGA Multiply Adder IP Core 9. ALTMEMMULT (Memory-based Constant Coefficient Multiplier) IP Core 10. ALTMULT_ACCUM (Multiply-Accumulate) IP Core 11. ALTMULT_ADD (Multiply-Adder) IP Core 12. ALTMULT_COMPLEX (Complex Multiplier) IP Core 13. ALTSQRT (Integer Square Root) IP Core 14. PARALLEL_ADD (Parallel Adder) IP Core 15. Integer Arithmetic Intel® FPGA IP Cores User Guide Document Archives 16. Document Revision History for Integer Arithmetic Intel® FPGA IP Cores User Guide
2. LPM_COUNTER (Counter) IP Core x
2.1. Features 2.2. Verilog HDL Prototype 2.3. VHDL Component Declaration 2.4. VHDL LIBRARY_USE Declaration 2.5. Ports 2.6. Parameters
3. LPM_DIVIDE Intel® FPGA IP Core References x
3.1. Features 3.2. Verilog HDL Prototype 3.3. VHDL Component Declaration 3.4. VHDL LIBRARY_USE Declaration 3.5. Ports 3.6. Parameters
4. LPM_MULT (Multiplier) IP Core x
4.1. Features 4.2. Verilog HDL Prototype 4.3. VHDL Component Declaration 4.4. VHDL LIBRARY_USE Declaration 4.5. Signals 4.6. Parameters for Stratix V, Arria V, Cyclone V, and Cyclone® 10 LP Devices 4.7. Parameters for Stratix® 10, Arria® 10, and Cyclone® 10 GX Devices
4.6. Parameters for Stratix V, Arria V, Cyclone V, and Cyclone® 10 LP Devices x
4.6.1. General Tab 4.6.2. General 2 Tab 4.6.3. Pipelining Tab
4.7. Parameters for Stratix® 10, Arria® 10, and Cyclone® 10 GX Devices x
4.7.1. General Tab 4.7.2. General 2 Tab 4.7.3. Pipelining
5. LPM_ADD_SUB (Adder/Subtractor) x
5.1. Features 5.2. Verilog HDL Prototype 5.3. VHDL Component Declaration 5.4. VHDL LIBRARY_USE Declaration 5.5. Ports 5.6. Parameters
6. LPM_COMPARE (Comparator) x
6.1. Features 6.2. Verilog HDL Prototype 6.3. VHDL Component Declaration 6.4. VHDL LIBRARY_USE Declaration 6.5. Ports 6.6. Parameters
7. ALTECC (Error Correction Code: Encoder/Decoder) IP Core x
7.1. ALTECC Encoder Features 7.2. Verilog HDL Prototype (ALTECC_ENCODER) 7.3. Verilog HDL Prototype (ALTECC_DECODER) 7.4. VHDL Component Declaration (ALTECC_ENCODER) 7.5. VHDL Component Declaration (ALTECC_DECODER) 7.6. VHDL LIBRARY_USE Declaration 7.7. Encoder Ports 7.8. Decoder Ports 7.9. Encoder Parameters 7.10. Decoder Parameters
8. Intel FPGA Multiply Adder IP Core x
8.1. Features 8.2. Verilog HDL Prototype 8.3. VHDL Component Declaration 8.4. VHDL LIBRARY_USE Declaration 8.5. Signals 8.6. Parameters
8.1. Features x
8.1.1. Pre-adder 8.1.2. Systolic Delay Register 8.1.3. Pre-load Constant 8.1.4. Double Accumulator
8.1.1. Pre-adder x
8.1.1.1. Pre-adder Simple Mode 8.1.1.2. Pre-adder Coefficient Mode 8.1.1.3. Pre-adder Input Mode 8.1.1.4. Pre-adder Square Mode 8.1.1.5. Pre-adder Constant Mode
8.6. Parameters x
8.6.1. General Tab 8.6.2. Extra Modes Tab 8.6.3. Multipliers Tab 8.6.4. Preadder Tab 8.6.5. Accumulator Tab 8.6.6. Systolic/Chainout Tab 8.6.7. Pipelining Tab
9. ALTMEMMULT (Memory-based Constant Coefficient Multiplier) IP Core x
9.1. Features 9.2. Verilog HDL Prototype 9.3. VHDL Component Declaration 9.4. Ports 9.5. Parameters
10. ALTMULT_ACCUM (Multiply-Accumulate) IP Core x
10.1. Features 10.2. Verilog HDL Prototype 10.3. VHDL Component Declaration 10.4. VHDL LIBRARY_USE Declaration 10.5. Ports 10.6. Parameters
11. ALTMULT_ADD (Multiply-Adder) IP Core x
11.1. Features 11.2. Verilog HDL Prototype 11.3. VHDL Component Declaration 11.4. VHDL LIBRARY_USE Declaration 11.5. Ports 11.6. Parameters
12. ALTMULT_COMPLEX (Complex Multiplier) IP Core x
12.1. Complex Multiplication 12.2. Canonical Representation 12.3. Conventional Representation 12.4. Features 12.5. Verilog HDL Prototype 12.6. VHDL Component Declaration 12.7. VHDL LIBRARY_USE Declaration 12.8. Signals 12.9. Parameters
13. ALTSQRT (Integer Square Root) IP Core x
13.1. Features 13.2. Verilog HDL Prototype 13.3. VHDL Component Declaration 13.4. VHDL LIBRARY_USE Declaration 13.5. Ports 13.6. Parameters
14. PARALLEL_ADD (Parallel Adder) IP Core x
14.1. Feature 14.2. Verilog HDL Prototype 14.3. VHDL Component Declaration 14.4. VHDL LIBRARY_USE Declaration 14.5. Ports 14.6. Parameters
1. Integer Arithmetic Intel® FPGA IP Cores
2. LPM_COUNTER (Counter) IP Core
3. LPM_DIVIDE Intel® FPGA IP Core References
4. LPM_MULT (Multiplier) IP Core
5. LPM_ADD_SUB (Adder/Subtractor)
6. LPM_COMPARE (Comparator)
7. ALTECC (Error Correction Code: Encoder/Decoder) IP Core
8. Intel FPGA Multiply Adder IP Core
9. ALTMEMMULT (Memory-based Constant Coefficient Multiplier) IP Core
10. ALTMULT_ACCUM (Multiply-Accumulate) IP Core
11. ALTMULT_ADD (Multiply-Adder) IP Core
12. ALTMULT_COMPLEX (Complex Multiplier) IP Core
13. ALTSQRT (Integer Square Root) IP Core
14. PARALLEL_ADD (Parallel Adder) IP Core
15. Integer Arithmetic Intel® FPGA IP Cores User Guide Document Archives
16. Document Revision History for Integer Arithmetic Intel® FPGA IP Cores User Guide

7.1. ALTECC Encoder Features

The ALTECC encoder IP core offers the following features:

  • Performs data encoding using the Hamming Coding scheme
  • Supports data width of 2–64 bits
  • Supports signed and unsigned data representation format
  • Support pipelining with output latency of either one or two clock cycles
  • Supports optional asynchronous clear and clock enable ports

The ALTECC encoder IP core takes in and encodes the data using the Hamming Coding scheme. The Hamming Coding scheme derives the parity bits and appends them to the original data to produce the output code word. The number of parity bits appended depends on the width of the data.

The following table lists the number of parity bits appended for different ranges of data widths. The Total Bits column represents the total number of input data bits and appended parity bits.

Table 21.  Number of Parity Bits and Code Word According to Data Width
Data Width Number of Parity Bits Total Bits (Code Word)
2-4 3+1 6-8
5-11 4+1 10-16
12-26 5+1 18-32
27-57 6+1 34-64
58-64 7+1 66-72

The parity bit derivation uses an even-parity checking. The additional 1 bit (shown in the table as +1) is appended to the parity bits as the MSB of the code word. This ensures that the code word has an even number of 1’s. For example, if the data width is 4 bits, 4 parity bits are appended to the data to become a code word with a total of 8 bits. If 7 bits from the LSB of the 8-bit code word have an odd number of 1’s, the 8th bit (MSB) of the code word is 1 making the total number of 1’s in the code word even.

The following figure shows the generated code word and the arrangement of the parity bits and data bits in an 8-bit data input.

Figure 8. Parity Bits and Data Bits Arrangement in an 8-Bit Generated Code Word


The ALTECC encoder IP core accepts only input widths of 2 to 64 bits at one time. Input widths of 12 bits, 29 bits, and 64 bits, which are ideally suited to Intel® devices, generate outputs of 18 bits, 36 bits, and 72 bits respectively. You can control the bit-selection limitation in the parameter editor.

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