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This paper provides an in-depth analysis of the "double free detected in tcache 2" error encountered when using the mpz class from the GNU Multiple Precision Arithmetic Library (GMP). Through examination of a typical code example, it reveals how uninitialized memory access and function misuse lead to double free issues. The article systematically explains the correct usage of mpz_get_str and mpz_set_str functions, offers best practices for dynamic memory allocation, and discusses safe handling of large integers to prevent memory management errors. Beyond solving specific technical problems, this work explains the memory management mechanisms of the GMP library from a fundamental perspective, providing comprehensive solutions and preventive measures for developers.

This article provides a detailed exploration of methods for installing the GMP extension in PHP environments, focusing on resolving Composer dependency errors caused by missing GMP support. Based on Ubuntu systems and using PHP 7.0 as an example, it step-by-step explains core procedures including installing the extension via apt-get, verifying php.ini configuration, and locating configuration file paths. It also supplements installation commands for other versions like PHP 7.2, and delves into application scenarios of the GMP extension in cryptography and large-number arithmetic, helping developers fully understand the logic behind extension installation and configuration.

This article provides an in-depth exploration of the implementation principles of trigonometric functions like sin() in the C standard library, focusing on the system-dependent implementation strategies of GNU libm across different platforms. By analyzing the C implementation code contributed by IBM, it reveals how modern math libraries achieve high-performance computation while ensuring numerical accuracy through multi-algorithm branch selection, Taylor series approximation, lookup table optimization, and argument reduction techniques. The article also compares the advantages and disadvantages of hardware instructions versus software algorithms, and introduces the application of advanced approximation methods like Chebyshev polynomials in mathematical function computation.

This technical article comprehensively explores methods for calculating the number of days between two dates in Bash shell environment, with primary focus on GNU date command solutions. The paper analyzes the underlying principles of Unix timestamp conversion, examines timezone and daylight saving time impacts, and provides detailed code implementations. Additional Python alternatives and practical application scenarios are discussed to help developers choose appropriate approaches based on specific requirements.

This article provides an in-depth exploration of various methods for obtaining millisecond-level timestamps in Bash shell scripts, with detailed analysis of using date command's %N nanosecond format and arithmetic operations. By comparing the advantages and disadvantages of different approaches and combining theoretical background on system clock resolution, it offers practical time precision solutions and best practice recommendations for developers.

This paper provides an in-depth exploration of various technical solutions for excluding specific directories during recursive searches using grep in Linux/Unix systems. It thoroughly analyzes portable solutions based on the find command, GNU Grep's --exclude-dir option, and the usage of modern search tools like Ag. Through code examples and performance comparisons, the paper offers comprehensive technical guidance for directory exclusion requirements across different scenarios, covering best practices from traditional methods to contemporary tools.

This article provides an in-depth exploration of various methods to obtain the PI constant in C++, including traditional _USE_MATH_DEFINES macro definitions, C++20 standard library features, and runtime computation alternatives. Through detailed code examples and platform compatibility analysis, it offers comprehensive technical reference and practical guidance for developers. The article also compares the advantages and disadvantages of different approaches, helping readers choose the most suitable implementation for various scenarios.

This article provides a comprehensive overview of converting Unix timestamps to human-readable dates in Bash shell environments. It focuses on the usage techniques of GNU Coreutils date command, including handling timestamps with -d parameter, special usage of @ symbol, and different scenarios for processing command-line arguments and standard input. The article also compares differential solutions for Linux and macOS systems and provides complete shell script implementation examples. Additionally, it delves into the basic concepts of Unix timestamps, historical background, and conversion methods in various programming languages, offering comprehensive time processing references for system administrators and developers.

This article provides an in-depth exploration of various Shell script methods for recursively finding files modified after a specific time and archiving them in Unix/Linux systems. It focuses on the synergistic use of find and tar commands, including the time calculation mechanism of the -mtime parameter, pipeline processing techniques with xargs, and the importance of the --no-recursion option. The article also compares advanced time options in GNU find with alternative approaches using touch and -newer, offering complete code examples and practical application scenarios. Performance differences and suitable use cases for different methods are discussed to help readers choose optimal solutions based on specific requirements.

This article provides a comprehensive exploration of various methods to obtain the current time in seconds since January 1, 1970 (Unix Epoch) in Linux Bash environments. It focuses on the core solution using the %s format specifier with the date command, delving into its working principles, system compatibility, and performance characteristics. Alternative approaches using Bash's built-in EPOCHREALTIME variable and printf command are also covered, with code examples and performance comparisons to offer complete guidance for timestamp acquisition in different scenarios. The discussion extends to practical considerations like time precision and cross-platform compatibility.

This paper provides an in-depth examination of the 'undefined reference to clock_gettime' and 'undefined reference to clock_settime' errors encountered during C++ compilation in Linux environments. By analyzing the implementation mechanisms of POSIX time functions, the article explains why linking the librt library is necessary and presents multiple solutions, including compiler option configurations, IDE settings, and cross-platform compatibility recommendations. The discussion further explores the role of the real-time library (librt), fundamental principles of the linking process, and best practices to prevent similar linking errors.

This article provides an in-depth analysis of the boundary matching mechanisms of \b and \B in regular expressions. Through multiple examples, it explains the core differences between these two metacharacters. \b matches word boundary positions, specifically the transition between word characters and non-word characters, while \B matches non-word boundary positions. The article includes detailed code examples to illustrate their behavior in different contexts, helping readers accurately understand and apply these important elements.

This article provides an in-depth exploration of various methods to obtain the previous day's date in Bash, with particular focus on the timezone offset solution for Solaris systems lacking GNU date's -d option. It offers comprehensive code examples, implementation principles, and cross-platform compatibility analysis.

This article provides an in-depth exploration of techniques for inserting text lines after lines matching specific strings using the sed command. By analyzing the append command syntax in GNU sed, it thoroughly explains core operations such as single-line insertion and in-place replacement, combined with practical configuration file modification scenarios to offer complete code examples and best practice guidelines. The article also extends to cover advanced techniques like inserting text before matches and handling multi-line insertions, helping readers comprehensively master sed applications in text processing.

This paper provides a comprehensive analysis of techniques for recursively identifying the most recently modified files in directory trees within Unix/Linux systems. By examining the -printf option of the find command and timestamp processing mechanisms, it details efficient methods for retrieving file modification times and performing numerical sorting. The article compares differences between GNU find and BSD systems in file status queries, offering complete command-line solutions and memory optimization recommendations suitable for performance optimization in large-scale file systems.

This paper provides an in-depth exploration of text pattern matching and extraction techniques using grep, sed, perl, and other command-line tools in Linux environments. Through detailed analysis of attribute value extraction from XML/HTML documents, it covers core concepts including zero-width assertions, capturing groups, and Perl-compatible regular expressions, offering multiple practical command-line solutions with comprehensive code examples.

This technical paper provides an in-depth analysis of recursive directory searching using the grep command in Linux environments. The article begins by explaining the fundamental concepts of grep and the significance of recursive searching in modern system administration. It then delves into the detailed syntax and operational principles of the grep -r command, supported by multiple practical code examples demonstrating various usage scenarios including basic searches, path specification, and case sensitivity handling. The paper contrasts traditional find and xargs approaches with modern grep -r methodology, analyzing their respective advantages. Finally, it addresses cross-platform compatibility concerns and performance optimization strategies, offering comprehensive technical guidance for system administrators and developers.

This paper provides an in-depth technical analysis of date and time management in Linux systems, focusing on the core functionality and advanced usage of the date command. Through systematic technical examination, it details the implementation principles of customized date-time format output and offers complete custom command configuration solutions based on bash shell environment. The article comprehensively covers practical scenarios including network time synchronization and timezone configuration, particularly addressing the special requirements of embedded devices like Raspberry Pi, providing professional-level technical reference for system administrators and developers.

This technical article comprehensively explores various methods for repeating characters in Bash shell, with focus on the efficient implementation using printf command and brace expansion. Through comparative analysis of different command characteristics, it deeply explains parameter expansion mechanisms, format string principles, and performance advantages, while introducing alternative approaches using seq and tr with their applicable scenarios and limitations.

This article explores how to recursively list all files in directories and subdirectories in Unix/Linux systems, sorted by modification time in reverse order. By analyzing the limitations of the find and ls commands, it presents an efficient solution combining find, sort, and cut. The paper delves into the command mechanics, including timestamp formatting, numerical sorting, and output processing, with variants for different scenarios. It also discusses command limitations and alternatives, offering practical file management techniques for system administrators and developers.