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xfade-easing.sh
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xfade-easing.sh
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#!/opt/local/bin/bash
# FFmpeg XFade easing and extensions by Raymond Luckhurst, Scriptit UK, https://scriptit.uk
# GitHub: owner scriptituk; repository xfade-easing; https://github.com/scriptituk/xfade-easing
#
# This is a port of standard easing equations and CSS easing functions for the FFmpeg XFade filter
# It also ports extended transitions, notably GLSL transitions, for use with or without easing
#
# See https://github.com/scriptituk/xfade-easing for documentation or use the -H option
# See https://ffmpeg.org/ffmpeg-utils.html#Expression-Evaluation for FFmpeg expressions
set -o posix
export CMD=$(basename $0)
export REPO=${CMD%.*}
export VERSION=3.2.1
export TMPDIR=/tmp
TMP=$TMPDIR/$REPO-$$
trap "rm -f $TMP-*" EXIT
ERROR=64 # unreserved exit code
N=$'\n'
R=$'\r'
T=$'\t'
# defaults
export TRANSITION=fade
export EASING=linear
export EXPRFORMAT="'%x'"
export PLOTSIZE=640x480 # default for gnuplot (4:3)
export PLOTTITLE=Easings
export VIDEOSIZE=250x200 # sheep/goat png (5:4)
export VIDEOTRANSITIONDURATION=3
export VIDEOTIME=1
export VIDEOLENGTH=5
export VIDEOFPS=25
export FORMAT=rgb24
export VIDEOSTACK=,0,white,0 # orientation,gap,colour,padding
export VIDEOFSMULT=1.0
# pixel format
p_alpha= # has alpha
p_isrgb= # is RGB
p_maxv= # maximum value
p_midv= # mid value
p_black= # black value
p_white= # white value
vinputs= # video inputs
# main controlling function
_main() {
_deps || exit $ERROR # check dependencies
_opts "$@" || exit $ERROR # get options
_tmp || exit $ERROR # set tmp dir
format=${o_format-$FORMAT}
_format $format || exit $ERROR # set pix format vars
easing=${o_easing-$EASING}
eargs=$(_args "$easing") || exit $ERROR; easing=${easing%%(*}
transition=${o_transition-$TRANSITION}
targs=$(_args "$transition") || exit $ERROR; transition=${transition%%(*}
xformat=${o_xformat-$EXPRFORMAT}
[[ -n $o_list ]] && _list && exit 0
[[ -n $o_help ]] && _help && exit 0
[[ -n $o_version ]] && _version && exit 0
p_easing_expr=$(_easing "$easing" "$eargs") # get easing expr
[[ -z $p_easing_expr ]] && exit $ERROR
g_easing_expr=${p_easing_expr#*:} p_easing_expr=${p_easing_expr%:*} # generic ld(0) & P easing
transition_expr=$(_transition $transition "$targs") # get transition expr
[[ -z $transition_expr ]] && exit $ERROR
expr=$transition_expr # uneased (linear)
transition_expr=$(gsed -e 's/\<P\>/ld(0)/g' <<<$transition_expr) # expects eased progress in ld(0)
if [[ $easing != linear || -n $o_easing ]]; then
expr="$p_easing_expr%n;%n$transition_expr" # chained easing & transition
fi
[[ -n $o_logprogress ]] && expr="if(ld(9)-st(9,floor(time(0))),print(floor((1-P)*100)))%n;%n$expr"
[[ -n $o_expr ]] && _expr "$o_expr" "$xformat" # output custom expression
[[ -n $o_plot ]] && _plot "$o_plot" "${o_pmultiple-$easing}" # output easing plot
[[ -n $o_video ]] && _video "$o_video" "${vinputs[@]}" # output demo video
}
# emit error message to stderr
_error() { # message
echo "Error: $1" >&2
}
# emit warning message to stderr
_warning() { # message
echo "Warning: $1" >&2
}
# emit debug message to stderr
_debug() { # message
[[ $o_loglevel == debug ]] && echo "Debug: $1" >&2
}
# extract document contained in this script
_heredoc() { # delimiter
gsed -n -e "/^@$1/,/^!$1/{//!p}" $0 | gsed '/^[ \t]*#/d'
}
# check dependency
_dep() { # dep
local a=$(compgen -c $1) d
for d in $a; do
test $d == $1 && return 0
done
return $ERROR
}
# check dependencies
_deps() {
local deps
[[ ${BASH_VERSINFO[0]} -ge 4 ]] || deps='bash-v4'
for s in ffmpeg ffprobe gawk gsed seq; do
_dep $s || deps+=" $s"
done
[[ -n $deps ]] && _error "missing dependencies:$deps" && return $ERROR
return 0
}
# emit usage text
_help() {
if _dep envsubst; then
_heredoc USAGE | envsubst
else
local h=$(_heredoc USAGE) e=$(compgen -e) v
for v in $e; do
h=$(gsed -e "s|\${\?$v\>}\?|${!v}|g" <<<$h)
done
printf '%s\n' "$h"
fi
}
# list all transitions
_list() {
_heredoc LIST | gawk -f- $0 | gawk -F "$T" -v randgl=yes '{
if (/:/ || /^$/) {
print
} else {
printf("\t%s", $1)
if ($2) printf(" [args: %s; default: (%s)]", $2, $3)
if ($4) printf(" by %s", $4)
if ($5) printf(" (native-only)")
print ""
}
}'
}
# emit version
_version() {
echo $VERSION
}
# process CLI options
_opts() {
ffmpeg -hide_banner --help filter=xfade | grep -q easing && o_native=true # detect native build
local OPTIND OPTARG opt
while getopts ':t:e:b:x:as:p:m:q:c:v:r:f:g:z:d:i:l:jnu:k:LHVXIPT:KD' opt; do
case $opt in
t) o_transition=$OPTARG ;;
e) o_easing=$OPTARG ;;
b) o_reverse=$OPTARG ;;
x) o_expr=$OPTARG ;;
a) o_xappend=true ;;
s) o_xformat=$OPTARG ;;
p) o_plot=$OPTARG ;;
m) o_pmultiple=$OPTARG ;;
q) o_ptitle=$OPTARG ;;
c) o_psize=$OPTARG ;;
v) o_video=$OPTARG ;;
r) o_vfps=$OPTARG ;;
f) o_format=$OPTARG ;;
g) o_transparent=$OPTARG ;;
z) o_vsize=$OPTARG ;;
d) o_vtduration=$OPTARG ;;
i) o_vtime=$OPTARG ;;
l) o_vlength=$OPTARG ;;
j) o_vplay=true ;;
n) o_vname=true ;;
u) o_vfsmult=$OPTARG ;;
k) o_vstack=$OPTARG ;;
L) o_list=true ;;
H) o_help=true ;;
V) o_version=true ;;
X) o_native= ;;
I) o_loglevel=info ;;
D) o_loglevel=debug ;;
P) o_logprogress=true ; o_loglevel=info ;;
T) o_tmp=$OPTARG ;;
K) o_keep=true ;;
:) _error 'missing argument'; _help; return $ERROR ;;
\?) _error 'invalid option'; _help; return $ERROR ;;
esac
done
shift $(($OPTIND - 1))
vinputs=("$@")
return 0
}
# set tmp dir
_tmp() {
[[ -z $o_tmp ]] && return 0
test ! -d $o_tmp && ! mkdir -p $o_tmp 2>/dev/null && _error "failed to make temp dir $o_tmp" && return $ERROR
TMP=$o_tmp/$REPO-$$
trap - EXIT
[[ -z $o_keep ]] && trap "rm -f $TMP-* && rmdir $o_tmp 2>/dev/null" EXIT
return 0
}
# set pixel format
_format() { # pix_fmt
ffmpeg -hide_banner -pix_fmts > $TMP-pixfmts.txt
local pf=$(_heredoc PIXFMT | gawk -v format=$1 -f- $TMP-pixfmts.txt)
[[ -z $pf ]] && _error "unknown format: $1" && return $ERROR
local planes=${pf%,*} depth=${pf#*,}
p_maxv=$(((1<<$depth)-1))
p_midv=$((1<<($depth-1)))
p_alpha=0; [[ $planes -eq 4 ]] && p_alpha=1
p_isrgb=0; [[ $1 =~ (rgb|bgr|gbr|rbg|bggr|rggb) ]] && p_isrgb=1 # (from libavutil/pixdesc.c)
if [[ $p_isrgb -ne 0 ]]; then
p_black='ifnot(3-PLANE, maxv)'
p_white='maxv'
else
p_black='if(PLANE, if(3-PLANE, midv, maxv))'
p_white='if(between(PLANE,1,2), midv, maxv)'
fi
return 0
}
# shuffle transition
_randgl() {
if [[ ! -f $TMP-randgl.txt ]]; then
echo -1 > $TMP-randgl.txt
_heredoc LIST | gawk -f- $0 |
gawk -F "$T" -v n="$o_native" '$1 ~ /^gl_/ { if (n || !$5) print $1 }' |
sort -R >> $TMP-randgl.txt
fi
readarray -t a < $TMP-randgl.txt
local i=${a[0]}
a=("${a[@]:1}")
i=$((i+1)); [[ $i -ge ${#a[@]} ]] && i=0
echo "$i ${a[@]}" | tr ' ' '\n' > $TMP-randgl.txt
echo ${a[$i]} # next shuffled transition name
}
# type of AV file
_type() { # file
local mime=$(file --mime "$1")
if [[ $mime =~ video/ ]]; then
echo video
elif [[ $mime =~ image/ ]]; then
echo image
elif [[ $mime =~ audio/ ]]; then
echo audio
else
echo ''
fi
}
# duration of AV file
_duration() { # file
printf '%g' $(ffprobe -v quiet -show_entries format=duration -of csv='p=0' "$1")
}
# probe dimension
_dims() { # file
echo $(ffprobe -v error -i "$1" -select_streams v:0 -show_entries stream=width,height -of csv=s=x:p=0)
}
# parse size
_size() { # WxH original even
local w=${1%x*} h=${1#*x} W=${2%x*} H=${2#*x}
[[ -z $w ]] && w=$(_calc "int($W * $h / $H + 0.5)")
[[ -z $h ]] && h=$(_calc "int($H * $w / $W + 0.5)")
[[ -n $3 ]] && w=$(_calc "int($w / 2 + 0.5) * 2") h=$(_calc "int($h / 2 + 0.5) * 2") # even
echo "${w}x${h}"
}
# expand path placeholder tokens
_expand() { # format expr
local e="$1"
if [[ $e =~ %[fF] ]]; then
e=${e//%f/$format}
e=${e//%F/${format^^}}
fi
e=${e//%t/$transition}
e=${e//%T/${transition^^}}
if [[ $e =~ %[caA] ]]; then
local a=$(_dtargs $transition)
e=${e//%a/${targs-$a}}
e=${e//%A/$a}
e=${e//%c/$eargs}
fi
e=${e//%e/$easing}
e=${e//%E/${easing^^}}
if [[ $e =~ %[xpgzXPGZ] ]]; then
local x=${2-$expr} p=$p_easing_expr g=$g_easing_expr z=$transition_expr
e=${e/\%X/$x}
e=${e/\%P/$p}
e=${e/\%G/$g}
e=${e/\%Z/$z}
x=${x//%n/} x=${x// /} # inline
p=${p//%n/} p=${p// /}
g=${g//%n/} g=${g// /}
z=${z//%n/} z=${z// /}
e=${e/\%x/$x}
e=${e/\%p/$p}
e=${e/\%g/$g}
e=${e/\%z/$z}
fi
e=${e//%n/$N}
echo "$e"
}
# get default transition args
_dtargs() { # transition
_heredoc LIST | gawk -f- $0 | gawk -F "$T" -v transition=$1 '$1 == transition { if ($3) print $3 }'
}
# get transition author
_author() { # transition
_heredoc LIST | gawk -f- $0 | gawk -F "$T" -v transition=$1 '$1 == transition { if ($4) print $4 }'
}
# get easing/transition args
_args() { # easing/transition
local a
[[ $1 =~ \( && ! $1 =~ \(.*\)$ ]] && _error "missing ')' in args '$1'" && return $ERROR
[[ $1 =~ \( ]] && a=${1#*(} a=${a%*)}
[[ $a =~ ^\ *$ ]] && a=
echo "$a"
return 0
}
# get filter string
_xfade() { # offset duration easing eargs transition targs expr reverse
local xfade="offset=$1:duration=$2" e=$3 ea=$4 t=$5 ta=$6 x=$7 r=$8
if [[ -n $o_native ]]; then # use native build
if [[ $e != linear || -n $ea ]]; then # CSS easing but not identity linear
[[ -n $ea ]] && e="'$e($ea)'"
xfade+=":easing=$e"
fi
if [[ $t =~ _ ]]; then # extended
[[ $t = gl_random ]] && t=$(_randgl) # shuffled
[[ -n $ta ]] && t="'$t($ta)'"
fi
xfade+=":transition=$t:reverse=$r"
else # use custom expr
if [[ $t = gl_random ]]; then # shuffled
x=$(_transition $(_randgl))
t=$(gsed -e "s/\<P\>/ld(0)/g" <<<$x)
[[ $e != linear || -n $o_easing ]] && e=$(_easing $e) e=${e%:*} x="$e%n;%n$t"
x=$(_expand '%n%X' "$x")
fi
if [[ -n $x ]]; then # have expr
xfade+=":transition=custom:expr='$x'"
else # vanilla
xfade+=":transition=$t"
fi
fi
echo "$xfade"
}
# calculate expression using awk
_calc() { # expr
gawk -e "BEGIN { ORS = \"\"; print ($1) }"
}
# expression builder
_make() { # expr ...
local e
for e in "$@"; do
if [[ -z $e ]]; then
made=
elif [[ -z $made ]]; then
made="$e"
else
made+="%n$e"
fi
done
}
# C99 % (remainder) operator: a % b = a - (a / b * b) (/ rounds towards 0)
# (not subexpression safe: group first)
_rem() { # a b
[[ $# -ne 2 ]] && _error "_rem expects 2 args, got $#"
echo "($1 - trunc($1 / $2) * $2)"
}
# vf_xfade.c fract(a)
# (not subexpression safe: group first)
_fract() { # a
[[ $# -ne 1 ]] && _error "_fract expects 1 arg, got $#"
echo "$1 - floor($1)"
}
# vf_xfade.c smoothstep(edge0,edge1,x)
# (not subexpression safe: group first)
_smoothstep() { # edge0 edge1 x st
[[ $# -ne 4 ]] && _error "_smoothstep expects 4 args, got $#"
local e n="($3 - $1)" d="($2 - $1)"
[[ $1 == 0 ]] && n="$3" d="$2"
[[ "$2-$1" =~ ^[0-9.-]+$ ]] && d=$(_calc "$d")
e="$n / $d"
[[ $d == 1 ]] && e="$n"
e=${e//- -/+ }
e="st($4, clip($e, 0, 1))"
echo "$e * ld($4) * (3 - 2 * ld($4))"
}
# vf_xfade.c frand(x,y)
# (not subexpression safe: group first)
_frand() { # x y st
[[ $# -ne 3 ]] && _error "_frand expects 3 args, got $#"
local e="st($3, sin($1 * 12.9898 + $2 * 78.233) * 43758.545)"
echo "$e - floor(ld($3))"
}
# get first input value
# (not subexpression safe: group first)
_a() { # X Y
[[ $# -ne 2 ]] && _error "_a expects 2 args, got $#"
echo "ifnot(PLANE, a0($1,$2), ifnot(1-PLANE, a1($1,$2), ifnot(2-PLANE, a2($1,$2), a3($1,$2))))"
}
# get second input value
# (not subexpression safe: group first)
_b() { # X Y
[[ $# -ne 2 ]] && _error "_b expects 2 args, got $#"
echo "ifnot(PLANE, b0($1,$2), ifnot(1-PLANE, b1($1,$2), ifnot(2-PLANE, b2($1,$2), b3($1,$2))))"
}
# get colour value (grey/transparent)
# (not subexpression safe: group first)
_colour() { # colour (<0 transparent, 0 to 1 grey)
[[ $# -ne 1 ]] && _error "_c expects 1 arg, got $#"
if [[ $p_isrgb -ne 0 ]]; then
echo "if(3-PLANE, max($1, 0), gte($1, 0)) * maxv"
else
echo "ifnot(PLANE, max($1 * maxv, 0), if(3-PLANE, midv, gte($1, 0) * maxv))"
fi
}
# mix linear interpolation
# (not subexpression safe: group first)
_mix() { # a b mix xf
[[ $# -lt 3 ]] && _error "_mix expects 3 args, got $#"
local m
if [[ $# -eq 3 ]]; then
m="$1 * (1 - $3) + $2 * $3"
[[ $1 == 1 ]] && m="1 + ($2 - 1) * $3"
[[ $2 == 1 ]] && m="$1 * (1 - $3) + $3"
[[ $3 == 1 ]] && m="$2"
elif [[ $4 == xf ]]; then # xfade arg order
m="$1 * $3 + $2 * (1 - $3)"
[[ $1 == 1 ]] && m="$2 * (1 - $3) + $3"
[[ $2 == 1 ]] && m="1 + ($1 - 1) * $3"
[[ $3 == 1 ]] && m="$1"
else
_error 'bad _mix args'
fi
echo "$m"
}
# dot product
# (not subexpression safe: group first)
_dot() { # x1 y1 x2 y2
[[ $# -ne 4 ]] && _error "_dot expects 4 args, got $#"
echo "$1 * $3 + $2 * $4"
}
# step function
_step() { # edge x
[[ $# -ne 2 ]] && _error "_step expects 2 args, got $#"
echo "gte($2, $1)"
}
# custom expressions for standard easings
# (by Robert Penner; single arg version by Michael Pohoreski, optimised by me)
# xfade progress P goes backwards in time, which is clearly daft, so we cater for that last
# see http://robertpenner.com/easing/
# see https://github.com/Michaelangel007/easing
_rp_easing() { # easing mode
local i o io x # mode expressions as functions of time (T)
case $1 in
# note: T is time (0 to 1); R is reversed, 1 - T
linear)
[[ $1 != linear ]] && return '' # CSS
io='T'
;;
quadratic)
i='T * T'
o='T * (2 - T)'
io='if(lt(T, 0.5), 2 * T * T, 2 * T * (2 - T) - 1)'
;;
cubic)
i='T^3'
o='1 - R^3'
io='if(lt(T, 0.5), 4 * T^3, 1 - 4 * R^3)'
;;
quartic)
i='T^4'
o='1 - R^4'
io='if(lt(T, 0.5), 8 * T^4, 1 - 8 * R^4)'
;;
quintic)
i='T^5'
o='1 - R^5'
io='if(lt(T, 0.5), 16 * T^5, 1 - 16 * R^5)'
;;
sinusoidal)
i='1 - cos(T * PI / 2)'
o='sin(T * PI / 2)'
io='(1 - cos(T * PI)) / 2'
;;
exponential)
i='if(lte(T, 0), 0, 2^(10 * T - 10))'
o='if(gte(T, 1), 1, 1 - 2^(-10 * T))'
_make ''
_make 'if(lt(T, 0.5),'
_make ' if(lte(T, 0), 0, 2^(20 * T - 11)),'
_make ' if(gte(T, 1), 1, 1 - 2^(9 - 20 * T))'
_make ')'
io=$made
;;
circular)
i='1 - sqrt(1 - T * T)'
o='sqrt(T * (2 - T))'
_make ''
_make 'if(lt(T, 0.5),'
_make ' 1 - sqrt(1 - 4 * T * T),'
_make ' 1 + sqrt(4 * T * (2 - T) - 3)'
_make ') / 2'
io=$made
;;
elastic)
i='cos(20 * R * PI / 3) / 2^(10 * R)'
o='1 - cos(20 * T * PI / 3) / 2^(10 * T)'
_make ''
_make 'st(1, cos(40 * st(2, 2 * T - 1) * PI / 9) / 2);'
_make 'st(2, 2^(10 * ld(2)));'
_make 'if(lt(T, 0.5), ld(1) * ld(2), 1 - ld(1) / ld(2))'
io=$made
;;
back)
local K=1.70158 K1=2.70158 # K=1.70158 for 10% back; K1=K+1
local H=2.59491 H1=3.59491 H2=4.59491 # H=K*1.525 # for back in-out; H1=H+1; H2=H+2
i="T * T * (T * $K1 - $K)"
o="1 - R^2 * (1 - T * $K1)"
_make ''
_make 'if(lt(T, 0.5),'
_make " 2 * T * T * (2 * T * $H1 - $H),"
_make " 1 - 2 * R^2 * ($H2 - 2 * T * $H1)"
_make ')'
io=$made
;;
bounce)
_make ''
_make ' st(1, 121/16);'
_make ' if(lt(T, 4/11),'
_make ' ld(1) * T * T,'
_make ' if(lt(T, 8/11),'
_make ' ld(1) * (T - 6/11)^2 + 3/4,'
_make ' if(lt(T, 10/11),'
_make ' ld(1) * (T - 9/11)^2 + 15/16,'
_make ' ld(1) * (T - 21/22)^2 + 63/64'
_make ' )'
_make ' )'
_make ' )'
o=$made
x="${o//T/ld(0)}"
_make '' 'st(0, 1 - T);' '1 - (' "$x" ')'
i=$made
_make ''
_make 'st(1,' ' st(0, st(2, lt(T, 0.5) * 2 - 1) * (1 - 2 * T));' "$x" ');'
_make '(1 - ld(2) * ld(1)) / 2'
io=$made
;;
*)
echo '' && return
;;
esac
local t=$io p=$io
[[ $2 == in ]] && t=$i p=$o
[[ $2 == out ]] && t=$o p=$i
t=${t//R/(1-T)} p=${p//R/(1-T)}
t=${t//T/ld(0)} # ld(0) is any normalised input value (0 to 1)
p=${p//T/P} # P is progress (1 to 0)
if [[ $t =~ %n ]]; then t=${t//%n/%n } t="st(0,%n $t%n)"; else t="st(0, $t)"; fi
if [[ $p =~ %n ]]; then p=${p//%n/%n } p="st(0,%n $p%n)"; else p="st(0, $p)"; fi
echo "$p:$t"
}
# custom expressions for supplementary easings
_se_easing() { # easing mode
local i o io # mode expressions
case $1 in
squareroot) # opposite to quadratic (not Pohoreski's sqrt)
i='sqrt(T)'
o='1 - sqrt(R)'
io='if(lt(T, 0.5), sqrt(T / 2), 1 - sqrt(R / 2))'
;;
cuberoot) # opposite to cubic
i='1 - pow(R, 1/3)'
o='pow(T, 1/3)'
io='if(lt(T, 0.5), pow(T / 4, 1/3), 1 - pow(R / 4, 1/3))'
;;
*)
echo '' && return
;;
esac
local t=$io p=$io
[[ $2 == in ]] && t=$i p=$o
[[ $2 == out ]] && t=$o p=$i
t=${t//R/(1-T)} p=${p//R/(1-T)}
p="st(0, ${p//T/P})"
t="st(0, ${t//T/ld(0)})"
echo "$p:$t"
}
# custom expressions for CSS easings
_css_easing() { # easing
local x # expr
case $1 in
cubic-bezier | ease | ease-in | ease-out | ease-in-out) ;&
steps | step-start | step-end) ;&
linear)
x=NATIVE
;;
esac
echo "$x"
}
# get easing expression
_easing() { # easing args
local e="$1" m=''
[[ -z $2 && ! $e =~ ^ease && ! $e =~ ^step && $e =~ - ]] && m=${e#*-} e=${e%%-*}
local x=$(_rp_easing $e $m) # try standard
[[ -z $x ]] && x=$(_se_easing $e $m) # try supplementary
[[ -z $x ]] && x=$(_css_easing "$e") # try CSS
[[ -z $x ]] && _error "unknown easing '$e'" && exit $ERROR
[[ $x == NATIVE && -z $o_native ]] && _error "CSS easings supported by custom ffmpeg only" && exit $ERROR
echo "$x" # f(P) in ld(0)
exit 0
}
# custom expressions for XFade transitions
# see https://github.com/FFmpeg/FFmpeg/blob/master/libavfilter/vf_xfade.c
_xf_transition() { # transition
local x # expr
local s r
_make ''
case $1 in
fade)
_make 'mix(A, B, P)'
;;
fadefast|fadeslow)
r=1 s=+
[[ $1 =~ slow ]] && r=2 s=-
_make "st(1, pow(P, 1 + log($r $s abs(A - B) / maxv)));"
_make 'mix(A, B, ld(1))'
;;
dissolve)
_make 'st(1, frand(X, Y, 1));'
_make 'st(1, ld(1) * 2 + P * 2 - 1.5);' # smooth
_make 'if(gte(ld(1), 0.5), A, B)'
;;
fadeblack|fadewhite)
s=black; [[ $1 =~ white ]] && s=white
_make "st(1, $s);" # bg
_make 'st(2, smoothstep(0.8, 1, P, 2));'
_make 'st(2, mix(A, ld(1), ld(2)));'
_make 'st(3, smoothstep(0.2, 1, P, 3));'
_make 'st(3, mix(ld(1), B, ld(3)));'
_make 'mix(ld(2), ld(3), P)'
;;
fadegrays)
if [[ $p_isrgb -ne 0 ]]; then
_make 'st(1, if(3-PLANE, (a0(X,Y) + a1(X,Y) + a2(X,Y)) / 3, A));'
_make 'st(2, if(3-PLANE, (b0(X,Y) + b1(X,Y) + b2(X,Y)) / 3, B));'
else
_make 'if(between(PLANE,1,2), st(1, st(2, midv)), st(1, A); st(2, B));'
fi
_make 'st(3, smoothstep(0.8, 1, P, 3));'
_make 'st(1, mix(A, ld(1), ld(3)));'
_make 'st(3, smoothstep(0.2, 1, P, 3));'
_make 'st(2, mix(ld(2), B, ld(3)));'
_make 'mix(ld(1), ld(2), P)'
;;
pixelize)
_make 'st(1, min(P, 1 - P));' # d
_make 'st(1, ceil(ld(1) * 50) / 50);' # dist
_make 'st(2, 2 * ld(1) * min(W, H) / 20);' # sqx
_make 'st(3, ld(2));' # sqy (== sqx in vf_xfade.c)
_make 'st(2, if(gt(ld(1), 0), min((floor(X / ld(2)) + 0.5) * ld(2), W - 1), X));' # sx
_make 'st(3, if(gt(ld(1), 0), min((floor(Y / ld(3)) + 0.5) * ld(3), H - 1), Y));' # sy
_make 'st(1, a(ld(2), ld(3)));'
_make 'st(2, b(ld(2), ld(3)));'
_make 'mix(ld(1), ld(2), P)'
;;
wipeleft)
_make 'if(gt(X, W * P), B, A)'
;;
wiperight)
_make 'if(gt(X, W * (1 - P)), A, B)'
;;
wipeup)
_make 'if(gt(Y, H * P), B, A)'
;;
wipedown)
_make 'if(gt(Y, H * (1 - P)), A, B)'
;;
wipetl)
_make 'if(lte(Y, H * P) * lte(X, W * P), A, B)'
;;
wipetr)
_make 'if(lte(Y, H * P) * gt(X, W * (1 - P)), A, B)'
;;
wipebl)
_make 'if(gt(Y, H * (1 - P)) * lte(X, W * P), A, B)'
;;
wipebr)
_make 'if(gt(Y, H * (1 - P)) * gt(X, W * (1 - P)), A, B)'
;;
slideleft|slideright)
[[ $1 =~ left ]] && s=-
_make "st(1, trunc(${s}W * P));" # z
_make 'st(2, ld(1) + X);' # zx
_make 'st(3, rem(ld(2), W) + W * lt(ld(2), 0));' # zz
_make 'if(between(ld(2), 0, W - 1),'
_make ' b(ld(3), Y),'
_make ' a(ld(3), Y)'
_make ')'
;;
slideup|slidedown)
[[ $1 =~ up ]] && s=-
_make "st(1, trunc(${s}H * P));" # z
_make 'st(2, ld(1) + Y);' # zy
_make 'st(3, rem(ld(2), H) + H * lt(ld(2), 0));' # zz
_make 'if(between(ld(2), 0, H - 1),'
_make ' b(X, ld(3)),'
_make ' a(X, ld(3))'
_make ')'
;;
smoothleft|smoothright|smoothup|smoothdown)
s='X / W'
[[ $1 =~ right ]] && s='(W - 1 - X) / W'
[[ $1 =~ up ]] && s='Y / H'
[[ $1 =~ down ]] && s='(H - 1 - Y) / H'
_make "st(1, 1 + $s - P * 2);" # smooth
_make 'st(1, smoothstep(0, 1, ld(1), 1));'
_make 'mix(B, A, ld(1))'
;;
circlecrop)
_make 'st(1, (2 * abs(P - 0.5))^3 * hypot(W / 2, H / 2));' # z
_make 'st(2, hypot(X - W / 2, Y - H / 2));' # dist
_make 'if(lt(ld(1), ld(2)),'
_make ' black,' # bg
_make ' if(lt(P, 0.5), B, A)' # val
_make ')'
;;
rectcrop)
_make 'st(1, abs(P - 0.5));'
_make 'if(lt(abs(X - W / 2), ld(1) * W) * lt(abs(Y - H / 2), ld(1) * H),' # dist
_make ' if(lt(P, 0.5), B, A),' # val
_make ' black' # bg
_make ')'
;;
circleopen|circleclose)
_make 'st(1, hypot(W / 2, H / 2));' # z
s='(P - 0.5) * 3'; [[ $1 =~ close ]] && s='(0.5 - P) * 3'
_make "st(2, $s);" # p
_make 'st(1, hypot(X - W / 2, Y - H / 2) / ld(1) + ld(2));' # smooth
_make 'st(1, smoothstep(0, 1, ld(1), 1));'
s='mix(A, B, ld(1))'; [[ $1 =~ close ]] && s='mix(B, A, ld(1))'
_make "$s"
;;
vertopen|vertclose|horzopen|horzclose)
s='2 * X / W - 1'; [[ $1 =~ horz ]] && s='2 * Y / H - 1'
r="2 - abs($s) - P * 2"; [[ $1 =~ close ]] && r="1 + abs($s) - P * 2"
_make "st(1, $r);" # smooth
_make 'st(1, smoothstep(0, 1, ld(1), 1));'
_make 'mix(B, A, ld(1))'
;;
diagtl|diagtr|diagbl|diagbr)
s='X / W'; [[ $1 =~ r ]] && s='(W - 1 - X) / W'
r='Y / H'; [[ $1 =~ b ]] && r='(H - 1 - Y) / H'
_make "st(1, 1 + $s * $r - P * 2);" # smooth
_make 'st(1, smoothstep(0, 1, ld(1), 1));'
_make 'mix(B, A, ld(1))'
;;
hlslice|hrslice|vuslice|vdslice)
s='X / W'
[[ $1 =~ hr ]] && s='(W - 1 - X) / W'
[[ $1 =~ vu ]] && s='Y / H'
[[ $1 =~ vd ]] && s='(H - 1 - Y) / H'
_make "st(1, $s);" # xx, yy
_make 'st(2, ld(1) - P * 1.5);'
_make 'st(2, smoothstep(-0.5, 0, ld(2), 2));' # smooth
_make 'st(1, 10 * ld(1));'
_make 'st(1, fract(ld(1)));'
_make 'if(gt(ld(2), ld(1)), B, A)'
;;
radial)
_make 'st(1, atan2(X - W / 2, Y - H / 2) - (P - 0.5) * PI * 2.5);' # smooth
_make 'st(1, smoothstep(0, 1, ld(1), 1));'
_make 'mix(B, A, ld(1))'
;;
zoomin)
_make 'st(1, smoothstep(0.5, 1, P, 1));' # zf
_make 'st(2, 0.5 + (X / W - 0.5) * ld(1));' # u
_make 'st(3, 0.5 + (Y / H - 0.5) * ld(1));' # v
_make 'st(2, ceil(ld(2) * (W - 1)));' # iu
_make 'st(3, ceil(ld(3) * (H - 1)));' # iv
_make 'st(1, a(ld(2), ld(3)));' # zv
_make 'st(2, smoothstep(0, 0.5, P, 2));'
_make 'mix(ld(1), B, ld(2))'
;;
squeezeh)
_make 'st(1, 0.5 + (Y / H - 0.5) / P);' # z
_make 'if(between(ld(1), 0, 1),'
_make ' st(1, round(ld(1) * (H - 1)));'
_make ' a(X, ld(1)),'
_make ' B'
_make ')'
;;
squeezev)
_make 'st(1, 0.5 + (X / W - 0.5) / P);' # z
_make 'if(between(ld(1), 0, 1),'
_make ' st(1, round(ld(1) * (W - 1)));'
_make ' a(ld(1), Y),'
_make ' B'
_make ')'
;;
hlwind|hrwind|vuwind|vdwind)
s='X / W'
[[ $1 =~ v ]] && s='Y / H'
[[ $1 =~ l || $1 =~ u ]] && s="1 - $s"
_make "st(1, $s);" # fx, fy
r='frand(0, Y, 2)'; [[ $1 =~ v ]] && r='frand(X, 0, 2)'
_make "st(2, $r);" # r
_make 'st(1, ld(1) * 0.8 + 0.2 * ld(2) - (1 - P) * 1.2);'
_make 'st(1, smoothstep(0, -0.2, ld(1), 1));'
_make 'mix(B, A, ld(1))'
;;
coverleft|coverright|revealleft|revealright)
[[ $1 =~ left ]] && s=-
_make "st(1, trunc(${s}W * P));" # z
_make 'st(2, ld(1) + X);' # zx
_make 'st(3, rem(ld(2), W) + W * lt(ld(2), 0));' # zz
r='b(ld(3), Y)' s=A
[[ $1 =~ reveal ]] && r=B s='a(ld(3), Y)'
_make 'if(between(ld(2), 0, W - 1),'
_make " $r,"
_make " $s"
_make ')'
;;
coverup|coverdown|revealup|revealdown)
[[ $1 =~ up ]] && s=-
_make "st(1, trunc(${s}H * P));" # z
_make 'st(2, ld(1) + Y);' # zy
_make 'st(3, rem(ld(2), H) + H * lt(ld(2), 0));' # zz
r='b(X, ld(3))' s=A
[[ $1 =~ reveal ]] && r=B s='a(X, ld(3))'
_make 'if(between(ld(2), 0, H - 1),'
_make " $r,"
_make " $s"
_make ')'
;;
# distance) needs number of planes
# hblur) needs aggregation in X
esac
x=$made
echo "$x"
}
# custom expressions for GLSL transitions
# # see https://github.com/gl-transitions/gl-transitions/tree/master/transitions
_gl_transition() { # transition args
local x # expr
readarray -d , -t a <<<$2,,,,,,,,,, # args
_make ''
case $1 in
# NOTE 1: never use P after st(0) as it will break easing
# NOTE 2: if st(9) is needed restore its time value as in gl_powerKaleido
gl_angular) # by Fernando Kuteken
_make "st(1, ${a[0]:-90});" # startingAngle
_make "st(2, ${a[1]:-0});" # clockwise
_make 'st(3, 1 - P);' # progress
_make 'st(1, ld(1) * PI / 180);' # offset
_make 'st(1, atan2(0.5 - Y / H, X / W - 0.5) + ld(1));' # angle
_make 'st(1, ld(1) / 2 / PI + 0.5);' # normalizedAngle
_make 'if(ld(2), st(1, -ld(1)));'
_make 'st(1, fract(ld(1)));'
_make 'if(step(ld(1), ld(3)), B, A)'
;;
gl_BookFlip) # by hong
_make 'st(1, X / W - 0.5);'
_make 'st(2, 0.5 - Y / H);'
_make 'st(3, step(P, X / W));' # pr
_make 'st(4,' # shadeVal
if [[ $p_isrgb -ne 0 ]]; then
_make ' if(3-PLANE,'
else
_make ' if(not(PLANE),'
fi
_make ' max(0.7, abs(P - 0.5) * 2),'
_make ' 1'
_make ' )'
_make ');'
_make 'if(lt(ld(1), 0),'
_make ' ifnot(ld(3),'
_make ' A,'
_make ' st(5, ld(1) / (1 - 2 * P) + 0.5);' # skewLeft skewX
_make ' st(6, ld(2) / (1 - 4 * P * ld(1)) + 0.5);' # skewLeft skewY
_make ' st(5, ld(5) * W);'
_make ' st(6, (1 - ld(6)) * H);'
_make ' st(3, b(ld(5), ld(6)));'
_make ' ld(3) * ld(4)'
_make ' ),'
_make ' if(ld(3),'
_make ' B,'
_make ' st(5, (ld(1) - 0.5 + P) / (2 * P - 1));' # skewRight skewX
_make ' st(6, ld(2) / (1 + 4 * (1 - P) * ld(1)) + 0.5);' # skewRight skewY
_make ' st(5, ld(5) * W);'
_make ' st(6, (1 - ld(6)) * H);'
_make ' st(3, a(ld(5), ld(6)));'
_make ' ld(3) * ld(4)'
_make ' )'
_make ')'
;;
gl_Bounce) # by Adrian Purser
_make "st(1, ${a[0]:-0.6});" # shadowAlpha
_make "st(2, ${a[1]:-0.075});" # shadowHeight
_make "st(3, ${a[2]:-3});" # bounces
_make "st(4, ${a[3]:-0});" # direction
_make "st(5, ${a[4]:-0});" # shadowColor
_make 'st(6, 1 - P);' # progress
_make 'st(3, ld(6) * PI * ld(3));' # phase
_make 'st(3, abs(cos(ld(3))) * (1 - sin(ld(6) * PI / 2)));' # p
_make 'if(gt(ld(4), 1), st(3, 1 - ld(3)));'
_make 'st(7, X / W);'
_make 'st(8, 1 - Y / H);'
_make 'st(4, 8 - mod(ld(4), 2));'
_make 'st(3, ld(ld(4)) - ld(3));' # d
_make 'if(gt(ld(3), 0),'
_make ' if(gt(ld(3), ld(2)),'
_make ' B,'
_make ' st(6, smoothstep(0.95, 1, ld(6), 6));'
_make ' st(2, (ld(3) / ld(2) - 1) * ld(1) + 1);'
_make ' st(2, mix(ld(2), 1, ld(6)));'
_make ' st(1, colour(ld(5)));'
_make ' mix(ld(1), B, ld(2))'
_make ' ),'
_make ' st(ld(4), 1 + ld(3));'
_make ' st(7, ld(7) * W);'
_make ' st(8, (1 - ld(8)) * H);'
_make ' a(ld(7), ld(8))'
_make ')'
;;
gl_BowTie) # by huynx
_make NATIVE
# ${a[0]:-0} # vertical
;;
gl_ButterflyWaveScrawler) # by mandubian
_make NATIVE
# ${a[0]:-1} # amplitude
# ${a[1]:-30} # waves
# ${a[2]:-0.3} # colorSeparation
;;
gl_cannabisleaf) # by Flexi23
_make 'if(eq(P, 1), A,'
_make ' st(1, 10 * pow(1 - P, 3.5));'
_make ' st(2, (X / W - 0.5) / ld(1));' # leaf_uv.x
_make ' st(3, (0.5 - Y / H) / ld(1) + 0.35);' # leaf_uv.y
_make ' st(1, atan2(ld(3), ld(2)));' # o
_make ' st(1, (1 + sin(ld(1))) * (1 + 0.9 * cos(8 * ld(1))) *'
_make ' (1 + 0.1 * cos(24 * ld(1))) * (0.9 + 0.05 * cos(200 * ld(1))));' # curve
_make ' if(step(0.18 * ld(1), hypot(ld(2), ld(3))), A, B)'
_make ')'
;;
gl_chessboard) # by lql
_make "st(1, ${a[0]:-8});" # grid
_make 'st(2, X / W * ld(1));' # st.x
_make 'st(3, (1 - Y / H) * ld(1));' # st.y
_make 'st(4, floor(ld(2)));' # idx.x
_make 'st(5, floor(ld(3)));' # idx.y
_make 'st(2, ld(2) - ld(4));' # g
_make 'st(3, bitand(ld(4) + ld(5), 1));' # checker
_make 'st(1, 1 - P);' # progress
_make 'if('
_make ' if(lt(ld(1), 0.5),'
_make ' if(ld(3), step(ld(2), ld(1) * 2)),'