Section 3 of the manual describes all library functions excluding the library functions (system call wrappers) described in Section 2, which implement system calls.

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BIO_meth_set_read_ex
Routines to build up BIO methods
BIO_meth_set_write
Routines to build up BIO methods
BIO_meth_set_write_ex
Routines to build up BIO methods
BIO_method_type
BIO_find_type, BIO_next, BIO_method_type - BIO chain traversal
BIO_new
BIO_new_ex, BIO_new, BIO_up_ref, BIO_free, BIO_vfree, BIO_free_all - BIO allocation and freeing functions
BIO_new_CMS
CMS streaming filter BIO
BIO_new_accept
accept BIO
BIO_new_bio_pair
BIO pair BIO
BIO_new_buffer_ssl_connect
SSL BIO
BIO_new_connect
connect BIO
BIO_new_dgram
Network BIO with datagram semantics
BIO_new_ex
BIO_new_ex, BIO_new, BIO_up_ref, BIO_free, BIO_vfree, BIO_free_all - BIO allocation and freeing functions
BIO_new_fd
BIO_s_fd, BIO_set_fd, BIO_get_fd, BIO_new_fd - file descriptor BIO
BIO_new_file
BIO_s_file, BIO_new_file, BIO_new_fp, BIO_set_fp, BIO_get_fp, BIO_read_filename, BIO_write_filename, BIO_append_filename, BIO_rw_filename - FILE bio
BIO_new_fp
BIO_s_file, BIO_new_file, BIO_new_fp, BIO_set_fp, BIO_get_fp, BIO_read_filename, BIO_write_filename, BIO_append_filename, BIO_rw_filename - FILE bio
BIO_new_from_core_bio
BIO_s_core, BIO_new_from_core_bio - OSSL_CORE_BIO functions
BIO_new_mem_buf
BIO_s_secmem, BIO_s_mem, BIO_set_mem_eof_return, BIO_get_mem_data, BIO_set_mem_buf, BIO_get_mem_ptr, BIO_new_mem_buf - memory BIO
BIO_new_socket
BIO_s_socket, BIO_new_socket - socket BIO
BIO_new_ssl
SSL BIO
BIO_new_ssl_connect
SSL BIO
BIO_next
BIO_find_type, BIO_next, BIO_method_type - BIO chain traversal
BIO_parse_hostserv
BIO_hostserv_priorities, BIO_parse_hostserv - utility routines to parse a standard host and service string
BIO_pending
BIO control operations
BIO_pop
BIO_push, BIO_pop, BIO_set_next - add and remove BIOs from a chain
BIO_printf
BIO_printf, BIO_vprintf, BIO_snprintf, BIO_vsnprintf - formatted output to a BIO
BIO_ptr_ctrl
BIO control operations
BIO_push
BIO_push, BIO_pop, BIO_set_next - add and remove BIOs from a chain
BIO_puts
BIO_read_ex, BIO_write_ex, BIO_read, BIO_write, BIO_gets, BIO_get_line, BIO_puts - BIO I/O functions
BIO_read
BIO_read_ex, BIO_write_ex, BIO_read, BIO_write, BIO_gets, BIO_get_line, BIO_puts - BIO I/O functions
BIO_read_ex
BIO_read_ex, BIO_write_ex, BIO_read, BIO_write, BIO_gets, BIO_get_line, BIO_puts - BIO I/O functions
BIO_read_filename
BIO_s_file, BIO_new_file, BIO_new_fp, BIO_set_fp, BIO_get_fp, BIO_read_filename, BIO_write_filename, BIO_append_filename, BIO_rw_filename - FILE bio
BIO_reset
BIO control operations
BIO_retry_type
BIO_should_read, BIO_should_write, BIO_should_io_special, BIO_retry_type, BIO_should_retry, BIO_get_retry_BIO, BIO_get_retry_reason, BIO_set_retry_reason - BIO retry functions
BIO_rw_filename
BIO_s_file, BIO_new_file, BIO_new_fp, BIO_set_fp, BIO_get_fp, BIO_read_filename, BIO_write_filename, BIO_append_filename, BIO_rw_filename - FILE bio
BIO_s_accept
accept BIO
BIO_s_bio
BIO pair BIO
BIO_s_connect
connect BIO
BIO_s_core
BIO_s_core, BIO_new_from_core_bio - OSSL_CORE_BIO functions
BIO_s_datagram
Network BIO with datagram semantics
BIO_s_fd
BIO_s_fd, BIO_set_fd, BIO_get_fd, BIO_new_fd - file descriptor BIO
BIO_s_file
BIO_s_file, BIO_new_file, BIO_new_fp, BIO_set_fp, BIO_get_fp, BIO_read_filename, BIO_write_filename, BIO_append_filename, BIO_rw_filename - FILE bio
BIO_s_mem
BIO_s_secmem, BIO_s_mem, BIO_set_mem_eof_return, BIO_get_mem_data, BIO_set_mem_buf, BIO_get_mem_ptr, BIO_new_mem_buf - memory BIO
BIO_s_null
null data sink
BIO_s_secmem
BIO_s_secmem, BIO_s_mem, BIO_set_mem_eof_return, BIO_get_mem_data, BIO_set_mem_buf, BIO_get_mem_ptr, BIO_new_mem_buf - memory BIO
BIO_s_socket
BIO_s_socket, BIO_new_socket - socket BIO
BIO_seek
BIO control operations
BIO_set_accept_bios
accept BIO
BIO_set_accept_ip_family
accept BIO
BIO_set_accept_name
accept BIO
BIO_set_accept_port
accept BIO
BIO_set_app_data
application-specific data
BIO_set_bind_mode
accept BIO
BIO_set_buffer_read_data
BIO_get_buffer_num_lines, BIO_set_read_buffer_size, BIO_set_write_buffer_size, BIO_set_buffer_size, BIO_set_buffer_read_data, BIO_f_buffer - buffering BIO
BIO_set_buffer_size
BIO_get_buffer_num_lines, BIO_set_read_buffer_size, BIO_set_write_buffer_size, BIO_set_buffer_size, BIO_set_buffer_read_data, BIO_f_buffer - buffering BIO
BIO_set_callback
BIO callback functions
BIO_set_callback_arg
BIO callback functions
BIO_set_callback_ex
BIO callback functions
BIO_set_cipher
BIO_f_cipher, BIO_set_cipher, BIO_get_cipher_status, BIO_get_cipher_ctx - cipher BIO filter
BIO_set_close
BIO control operations
BIO_set_conn_address
connect BIO
BIO_set_conn_hostname
connect BIO
BIO_set_conn_ip_family
connect BIO
BIO_set_conn_port
connect BIO
BIO_set_data
BIO_set_data, BIO_get_data, BIO_set_init, BIO_get_init, BIO_set_shutdown, BIO_get_shutdown - functions for managing BIO state information
BIO_set_ex_data
application-specific data
BIO_set_fd
BIO_s_fd, BIO_set_fd, BIO_get_fd, BIO_new_fd - file descriptor BIO
BIO_set_fp
BIO_s_file, BIO_new_file, BIO_new_fp, BIO_set_fp, BIO_get_fp, BIO_read_filename, BIO_write_filename, BIO_append_filename, BIO_rw_filename - FILE bio
BIO_set_indent
BIO_f_prefix, BIO_set_prefix, BIO_set_indent, BIO_get_indent - prefix BIO filter
BIO_set_info_callback
BIO control operations
BIO_set_init
BIO_set_data, BIO_get_data, BIO_set_init, BIO_get_init, BIO_set_shutdown, BIO_get_shutdown - functions for managing BIO state information
BIO_set_md
BIO_f_md, BIO_set_md, BIO_get_md, BIO_get_md_ctx - message digest BIO filter
BIO_set_mem_buf
BIO_s_secmem, BIO_s_mem, BIO_set_mem_eof_return, BIO_get_mem_data, BIO_set_mem_buf, BIO_get_mem_ptr, BIO_new_mem_buf - memory BIO
BIO_set_mem_eof_return
BIO_s_secmem, BIO_s_mem, BIO_set_mem_eof_return, BIO_get_mem_data, BIO_set_mem_buf, BIO_get_mem_ptr, BIO_new_mem_buf - memory BIO
BIO_set_nbio
connect BIO
BIO_set_nbio_accept
accept BIO
BIO_set_next
BIO_push, BIO_pop, BIO_set_next - add and remove BIOs from a chain
BIO_set_prefix
BIO_f_prefix, BIO_set_prefix, BIO_set_indent, BIO_get_indent - prefix BIO filter
BIO_set_read_buffer_size
BIO_get_buffer_num_lines, BIO_set_read_buffer_size, BIO_set_write_buffer_size, BIO_set_buffer_size, BIO_set_buffer_read_data, BIO_f_buffer - buffering BIO
BIO_set_retry_reason
BIO_should_read, BIO_should_write, BIO_should_io_special, BIO_retry_type, BIO_should_retry, BIO_get_retry_BIO, BIO_get_retry_reason, BIO_set_retry_reason - BIO retry functions
BIO_set_shutdown
BIO_set_data, BIO_get_data, BIO_set_init, BIO_get_init, BIO_set_shutdown, BIO_get_shutdown - functions for managing BIO state information
BIO_set_ssl
SSL BIO
BIO_set_ssl_mode
SSL BIO
BIO_set_ssl_renegotiate_bytes
SSL BIO
BIO_set_ssl_renegotiate_timeout
SSL BIO
BIO_set_write_buf_size
BIO pair BIO
BIO_set_write_buffer_size
BIO_get_buffer_num_lines, BIO_set_read_buffer_size, BIO_set_write_buffer_size, BIO_set_buffer_size, BIO_set_buffer_read_data, BIO_f_buffer - buffering BIO
BIO_should_io_special
BIO_should_read, BIO_should_write, BIO_should_io_special, BIO_retry_type, BIO_should_retry, BIO_get_retry_BIO, BIO_get_retry_reason, BIO_set_retry_reason - BIO retry functions
BIO_should_read
BIO_should_read, BIO_should_write, BIO_should_io_special, BIO_retry_type, BIO_should_retry, BIO_get_retry_BIO, BIO_get_retry_reason, BIO_set_retry_reason - BIO retry functions
BIO_should_retry
BIO_should_read, BIO_should_write, BIO_should_io_special, BIO_retry_type, BIO_should_retry, BIO_get_retry_BIO, BIO_get_retry_reason, BIO_set_retry_reason - BIO retry functions
BIO_should_write
BIO_should_read, BIO_should_write, BIO_should_io_special, BIO_retry_type, BIO_should_retry, BIO_get_retry_BIO, BIO_get_retry_reason, BIO_set_retry_reason - BIO retry functions
BIO_shutdown_wr
BIO pair BIO
BIO_snprintf
BIO_printf, BIO_vprintf, BIO_snprintf, BIO_vsnprintf - formatted output to a BIO
BIO_socket
BIO_socket, BIO_bind, BIO_connect, BIO_listen, BIO_accept_ex, BIO_closesocket - BIO socket communication setup routines
BIO_socket_wait
BIO_socket_wait, BIO_wait, BIO_do_connect_retry - BIO connection utility functions
BIO_ssl_copy_session_id
SSL BIO
BIO_ssl_shutdown
SSL BIO
BIO_tell
BIO control operations
BIO_up_ref
BIO_new_ex, BIO_new, BIO_up_ref, BIO_free, BIO_vfree, BIO_free_all - BIO allocation and freeing functions
BIO_vfree
BIO_new_ex, BIO_new, BIO_up_ref, BIO_free, BIO_vfree, BIO_free_all - BIO allocation and freeing functions
BIO_vprintf
BIO_printf, BIO_vprintf, BIO_snprintf, BIO_vsnprintf - formatted output to a BIO