Collaboration diagram for Maths:

Data Structures

struct  AVRational
 rational number numerator/denominator More...
 

Macros

#define ff_ctz   ff_ctz_c
 

Typedefs

typedef struct AVRational AVRational
 rational number numerator/denominator More...
 

Enumerations

enum  AVRounding {
  AV_ROUND_ZERO = 0, AV_ROUND_INF = 1, AV_ROUND_DOWN = 2, AV_ROUND_UP = 3,
  AV_ROUND_NEAR_INF = 5, AV_ROUND_PASS_MINMAX = 8192
}
 

Functions

static av_always_inline av_const int ff_ctz_c (int v)
 
int av_ctz (int v)
 Trailing zero bit count. More...
 
int64_t av_const av_gcd (int64_t a, int64_t b)
 Return the greatest common divisor of a and b. More...
 
int64_t av_rescale (int64_t a, int64_t b, int64_t c) av_const
 Rescale a 64-bit integer with rounding to nearest. More...
 
int64_t av_rescale_rnd (int64_t a, int64_t b, int64_t c, enum AVRounding) av_const
 Rescale a 64-bit integer with specified rounding. More...
 
int64_t av_rescale_q (int64_t a, AVRational bq, AVRational cq) av_const
 Rescale a 64-bit integer by 2 rational numbers. More...
 
int64_t av_rescale_q_rnd (int64_t a, AVRational bq, AVRational cq, enum AVRounding) av_const
 Rescale a 64-bit integer by 2 rational numbers with specified rounding. More...
 
int av_compare_ts (int64_t ts_a, AVRational tb_a, int64_t ts_b, AVRational tb_b)
 Compare 2 timestamps each in its own timebases. More...
 
int64_t av_compare_mod (uint64_t a, uint64_t b, uint64_t mod)
 Compare 2 integers modulo mod. More...
 
int64_t av_rescale_delta (AVRational in_tb, int64_t in_ts, AVRational fs_tb, int duration, int64_t *last, AVRational out_tb)
 Rescale a timestamp while preserving known durations. More...
 
static int av_cmp_q (AVRational a, AVRational b)
 Compare two rationals. More...
 
static double av_q2d (AVRational a)
 Convert rational to double. More...
 
int av_reduce (int *dst_num, int *dst_den, int64_t num, int64_t den, int64_t max)
 Reduce a fraction. More...
 
AVRational av_mul_q (AVRational b, AVRational c) av_const
 Multiply two rationals. More...
 
AVRational av_div_q (AVRational b, AVRational c) av_const
 Divide one rational by another. More...
 
AVRational av_add_q (AVRational b, AVRational c) av_const
 Add two rationals. More...
 
AVRational av_sub_q (AVRational b, AVRational c) av_const
 Subtract one rational from another. More...
 
static av_always_inline AVRational av_inv_q (AVRational q)
 Invert a rational. More...
 
AVRational av_d2q (double d, int max) av_const
 Convert a double precision floating point number to a rational. More...
 
int av_nearer_q (AVRational q, AVRational q1, AVRational q2)
 
int av_find_nearest_q_idx (AVRational q, const AVRational *q_list)
 Find the nearest value in q_list to q. More...
 

Detailed Description

Macro Definition Documentation

#define ff_ctz   ff_ctz_c

Definition at line 108 of file intmath.h.

Referenced by av_ctz().

Typedef Documentation

typedef struct AVRational AVRational

rational number numerator/denominator

Enumeration Type Documentation

enum AVRounding
Enumerator
AV_ROUND_ZERO 

Round toward zero.

AV_ROUND_INF 

Round away from zero.

AV_ROUND_DOWN 

Round toward -infinity.

AV_ROUND_UP 

Round toward +infinity.

AV_ROUND_NEAR_INF 

Round to nearest and halfway cases away from zero.

AV_ROUND_PASS_MINMAX 

Flag to pass INT64_MIN/MAX through instead of rescaling, this avoids special cases for AV_NOPTS_VALUE.

Definition at line 67 of file mathematics.h.

Function Documentation

AVRational av_add_q ( AVRational  b,
AVRational  c 
) const

Add two rationals.

Parameters
bfirst rational
csecond rational
Returns
b+c

Definition at line 93 of file rational.c.

Referenced by av_find_nearest_q_idx(), and av_sub_q().

static int av_cmp_q ( AVRational  a,
AVRational  b 
)
inlinestatic

Compare two rationals.

Parameters
afirst rational
bsecond rational
Returns
0 if a==b, 1 if a>b, -1 if a<b, and INT_MIN if one of the values is of the form 0/0

Definition at line 55 of file rational.h.

Referenced by av_find_nearest_q_idx(), av_nearer_q(), decode_slice_header(), dump_stream_format(), ff_h263_aspect_to_info(), ff_mxf_get_samples_per_frame(), filter_frame(), find_frame_rate_index(), init_muxer(), mpeg_decode_postinit(), and sdl_write_header().

int64_t av_compare_mod ( uint64_t  a,
uint64_t  b,
uint64_t  mod 
)

Compare 2 integers modulo mod.

That is we compare integers a and b for which only the least significant log2(mod) bits are known.

Parameters
modmust be a power of 2
Returns
a negative value if a is smaller than b a positive value if a is greater than b 0 if a equals b

Definition at line 145 of file mathematics.c.

Referenced by av_read_frame().

int av_compare_ts ( int64_t  ts_a,
AVRational  tb_a,
int64_t  ts_b,
AVRational  tb_b 
)

Compare 2 timestamps each in its own timebases.

The result of the function is undefined if one of the timestamps is outside the int64_t range when represented in the others timebase.

Returns
-1 if ts_a is before ts_b, 1 if ts_a is after ts_b or 0 if they represent the same position

Definition at line 135 of file mathematics.c.

Referenced by check_recording_time(), ff_gen_syncpoint_search(), ff_interleave_compare_dts(), hls_read_packet(), hls_write_packet(), ism_write_packet(), nut_write_packet(), search_hi_lo_keyframes(), seg_write_packet(), and try_filter_frame().

int av_ctz ( int  v)

Trailing zero bit count.

Parameters
vinput value. If v is 0, the result is undefined.
Returns
the number of trailing 0-bits

Definition at line 36 of file intmath.c.

Referenced by ff_ctz_c(), and remove_wasted_bits().

AVRational av_d2q ( double  d,
int  max 
) const

Convert a double precision floating point number to a rational.

inf is expressed as {1,0} or {-1,0} depending on the sign.

Parameters
ddouble to convert
maxthe maximum allowed numerator and denominator
Returns
(AVRational) d

Definition at line 106 of file rational.c.

Referenced by av_get_q(), av_inv_q(), av_opt_get_q(), av_opt_get_video_rate(), av_opt_set_defaults2(), av_parse_ratio(), config_output_props(), decode_frame(), init(), microdvd_read_header(), mov_read_tkhd(), mov_read_trak(), mpeg_decode_postinit(), nuv_header(), read_header(), thp_read_header(), var_read_float(), and write_number().

AVRational av_div_q ( AVRational  b,
AVRational  c 
) const

Divide one rational by another.

Parameters
bfirst rational
csecond rational
Returns
b/c

Definition at line 88 of file rational.c.

Referenced by av_guess_frame_rate(), avi_read_header(), build_frame_code(), config_output(), config_output_props(), config_props_output(), and mpeg_decode_postinit().

int av_find_nearest_q_idx ( AVRational  q,
const AVRational q_list 
)

Find the nearest value in q_list to q.

Parameters
q_listan array of rationals terminated by {0, 0}
Returns
the index of the nearest value found in the array

Definition at line 138 of file rational.c.

Referenced by av_inv_q(), and transcode_init().

int64_t av_const av_gcd ( int64_t  a,
int64_t  b 
)

Return the greatest common divisor of a and b.

If both a and b are 0 or either or both are <0 then behavior is undefined.

Definition at line 55 of file mathematics.c.

Referenced by av_gcd(), av_reduce(), avcodec_string(), avformat_find_stream_info(), decode_main_header(), dump_stream_format(), eval_expr(), ff_h263_decode_picture_header(), ff_MPV_encode_init(), find_frame_rate_index(), rtp_send_samples(), and xvid_correct_framerate().

AVRational av_mul_q ( AVRational  b,
AVRational  c 
) const
int av_nearer_q ( AVRational  q,
AVRational  q1,
AVRational  q2 
)
Returns
1 if q1 is nearer to q than q2, -1 if q2 is nearer than q1, 0 if they have the same distance.

Definition at line 123 of file rational.c.

Referenced by av_find_nearest_q_idx(), av_inv_q(), and find_frame_rate_index().

int64_t av_rescale_delta ( AVRational  in_tb,
int64_t  in_ts,
AVRational  fs_tb,
int  duration,
int64_t *  last,
AVRational  out_tb 
)

Rescale a timestamp while preserving known durations.

Parameters
in_tsInput timestamp
in_tbInput timesbase
fs_tbDuration and *last timebase
durationduration till the next call
out_tbOutput timesbase

Definition at line 152 of file mathematics.c.

Referenced by decode_audio(), and do_streamcopy().

int64_t av_rescale_q ( int64_t  a,
AVRational  bq,
AVRational  cq 
) const

Rescale a 64-bit integer by 2 rational numbers.

Definition at line 130 of file mathematics.c.

Referenced by ass_decode_close(), audio_decode_frame(), av_buffersink_get_samples(), av_mpeg4_decode_header(), av_rescale_delta(), avcodec_decode_audio4(), avcodec_decode_subtitle2(), avformat_find_stream_info(), avformat_seek_file(), avi_read_packet(), avi_read_seek(), avisynth_read_packet_audio(), avisynth_read_seek(), buffer_offset(), caca_write_header(), choose_output(), close_output_stream(), compute_chapters_end(), concat_read_packet(), copy_chapters(), decode_audio(), decode_frame(), decode_video(), display_frame(), do_audio_out(), do_streamcopy(), do_subtitle_out(), do_video_out(), dv_extract_video_info(), dv_read_header(), ff_af_queue_add(), ff_dv_offset_reset(), ff_filter_frame_needs_framing(), ff_interleave_compare_dts(), ff_interleave_new_audio_packet(), ff_interleave_packet_per_dts(), ff_read_packet(), ff_rtsp_open_transport_ctx(), ff_samples_to_time_base(), ff_update_link_current_pts(), ff_write_chained(), fill_all_stream_timings(), filter_frame(), flush_encoders(), get_subtitle_pkt(), guess_ni_flag(), http_prepare_data(), init(), init_convert_timestamp(), lavfi_read_packet(), main(), microdvd_decode_frame(), mkv_write_chapters(), mov_create_chapter_track(), mov_read_seek(), mov_text_decode_frame(), mov_write_chpl_tag(), mov_write_single_packet(), mp3_parse_vbr_tags(), mpl2_decode_frame(), mxf_parse_structural_metadata(), mxf_read_seek(), ogg_buffer_data(), ogg_compare_granule(), ogg_write_packet(), output_packet(), parse_forced_key_frames(), plot_spectrum_column(), print_report(), process_input(), push_frame(), push_samples(), r3d_read_rdvo(), r3d_seek(), rawvideo_read_header(), read_from_fifo(), read_header(), reap_filters(), request_frame(), rescale_interval(), rl2_read_seek(), rtcp_send_sr(), rtp_parse_one_packet(), rtp_write_header(), rtsp_read_play(), rtsp_read_seek(), sami_decode_frame(), sbg_read_seek2(), seek_subtitle(), seg_write_packet(), send_silence(), source_request_frame(), srt_decode_frame(), sub2video_heartbeat(), sub2video_update(), tee_write_packet(), text_decode_frame(), transcode_init(), ts_str(), update_stream_timings(), and webvtt_decode_frame().

int64_t av_rescale_q_rnd ( int64_t  a,
AVRational  bq,
AVRational  cq,
enum  AVRounding 
) const

Rescale a 64-bit integer by 2 rational numbers with specified rounding.

Returns
rescaled value a, or if AV_ROUND_PASS_MINMAX is set and a is INT64_MIN or INT64_MAX then a is passed through unchanged.

Definition at line 122 of file mathematics.c.

Referenced by av_rescale_delta(), av_rescale_q(), ff_interleave_add_packet(), ff_interleave_packet_per_dts(), filter_frame(), parse_packet(), rescale_interval(), and rtp_write_header().

int64_t av_rescale_rnd ( int64_t  a,
int64_t  b,
int64_t  c,
enum  AVRounding 
) const

Rescale a 64-bit integer with specified rounding.

A simple a*b/c isn't possible as it can overflow.

Returns
rescaled value a, or if AV_ROUND_PASS_MINMAX is set and a is INT64_MIN or INT64_MAX then a is passed through unchanged.

Definition at line 60 of file mathematics.c.

Referenced by av_compare_ts(), av_nearer_q(), av_rescale(), av_rescale_q_rnd(), av_rescale_rnd(), avformat_seek_file(), compute_pkt_fields(), dv_write_pack(), ff_nut_reset_ts(), ff_pcm_read_seek(), filter_frame(), gxf_compare_field_nb(), gxf_write_media_preamble(), handle_file(), hls_read_packet(), hls_read_seek(), main(), mov_write_edts_tag(), mov_write_mvhd_tag(), mov_write_tkhd_tag(), nut_write_packet(), request_frame(), rtmp_read_seek(), vpx_init(), and vqf_read_seek().

AVRational av_sub_q ( AVRational  b,
AVRational  c 
) const

Subtract one rational from another.

Parameters
bfirst rational
csecond rational
Returns
b-c

Definition at line 101 of file rational.c.

Referenced by av_find_nearest_q_idx().

static av_always_inline av_const int ff_ctz_c ( int  v)
static

Definition at line 109 of file intmath.h.