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/* ResizeX v1.0.1 mod 8
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/* ResizeX v1.0.1 mod 9
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ResizeX is a wrapper function for AviSynth's internal resizers and Dither_resize16
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that corrects for the chroma shift caused by the internal resizers when they're
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used on horizontally subsampled chroma with MPEG2 placement.
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If either the lsb_in or lsb parameters are set to true, Dither_resize16 is used.
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If both are false, AviSynth's internal resizers are used.
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All AviSynth 2.6 colorspaces are supported. However, to use Dither_resize16 on RGB, the input
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must first be split into a Y8 clip containing the individual red, green, and blue channels.
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This can be done with the following script:
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     Interleave(ShowRed("Y8"),ShowGreen("Y8"),ShowBlue("Y8"))
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     ResizeX(target_width,target_height, lsb=true)
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     DitherPost()
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     MergeRGB(SelectEvery(3,0),SelectEvery(3,1),SelectEvery(3,2))
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Internal and Dither_resize16 kernels: "Bicubic", "Bilinear", "Blackman", "Gauss", "Lanczos",
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                                      "Point", "Sinc", "Spline16", "Spline36", "Spline64"
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Dither_resize16 only kernels:         "Blackmanminlobe", "Impulse", "Rect" or "Box", "Spline"
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Bicubic kernel presets:               "Catmull-Rom" or "CatRom", "Hermite",
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                                      "Mitchell-Netravali" or "Mitchell", "Robidoux", "SoftCubic"
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The number of taps for the Blackman, Blackmanminlobe, Lanczos, Sinc, and Spline kernels
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can be set with the taps parameter or with a number after the kernel name.
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Using the latter method overrides the taps parameter.
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The b and c values for the Bicubic kernel can be set with the a1 and a2 parameters, respectively.
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If a Bicubic preset is used, it will override a1 and a2.
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The p value for the Gauss kernel can be set with a1.
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The softness of the SoftCubic preset can be set with a number after it ranging from 0 through 100.
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The default is 75.
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*/
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function ResizeX(clip input, int target_width, int target_height, float "src_left", float "src_top",
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\                float "src_width", float "src_height", string "kernel", int "taps", float "a1", float "a2",
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\                string "cplace", bool "luma", bool "chroma", bool "lsb_in", bool "lsb", bool "mt", string "mt_params", string "dither_params", bool "lsb_out", bool "desampling") {
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\                string "cplace", bool "luma", bool "chroma", bool "lsb_in", bool "lsb", bool "mt", string "mt_params", string "dither_params", bool "lsb_out", bool "desampling", int "dither_mode") {
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lsb_in     = Default(lsb_in, false)
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lsb_out = Default(lsb_out, false)
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lsb        = Default(lsb, false)
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lsb        = (lsb_out && !lsb) || (lsb_in && !lsb) ? true : lsb
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iw = input.Width()
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ih = lsb_in ? input.Height()/2 : input.Height()
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src_left   = Default(src_left, 0)
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src_top    = Default(src_top, 0)
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desampling = Default(desampling, false)
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src_width  = Default(src_width, desampling ? 0 : iw)
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src_height = Default(src_height, desampling ? 0 : ih)
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kernel     = Default(kernel, "Spline36")
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cplace     = Default(cplace, "MPEG2")
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luma       = Default(luma, true)
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chroma     = Default(chroma, true)
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mt         = Default(mt, true)
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mt_params  = Default(mt_params,      "")
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dither_params = Default(dither_params ,      "")
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dither_mode   = Default(dither_mode, 6)
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sisphbd = AvsPlusVersionNumber > 2294
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Assert(target_width  > 0, "ResizeX: target width must be greater than 0")
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Assert(target_height > 0, "ResizeX: target height must be greater than 0")
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Assert(cplace == "MPEG1" || cplace == "MPEG2", "ResizeX: cplace must be MPEG1 or MPEG2")
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lsb_native = sisphbd ? !(Input.BitsPerComponent() > 8 && (lsb)) : true
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sisphbd ? Assert(lsb_native, "lsb hack is not Compatible with native high bit depth" ) : nop()
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sisphbd ? Assert(!(Input.isYUVA() && lsb), "lsb hack is not Compatible with YUVA" ) : nop()
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# Set correct src_width and src_height values if the input values are zero or negative
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src_width  = src_width  == 0 ? desampling ? undefined : iw
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\          : src_width  <  0 ? iw-src_left+src_width
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\                            : src_width
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src_height = src_height == 0 ? desampling ? undefined : ih
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\          : src_height <  0 ? ih-src_top+src_height
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\                            : src_height
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# Get the input clip's colorspace
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csp = input.PixelType()
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sislumaonly = sisphbd ? input.isy() : input.isy8()
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chroma = sislumaonly ? false : chroma
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chr420  = sisphbd ? input.is420() : input.isyv12()
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chr422  = sisphbd ? input.is422() : input.isYV16()
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chr444  = sisphbd ? input.is444() : input.isYV24()
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Assert(csp != "RGB24" && csp != "RGB32" || !lsb, "ResizeX: lsb things must be false for RGB input")
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# Check for subsampled chroma
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hssc12 = chr420 || chr422 || csp == "YUY2"
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hssc14 = csp == "YV411"
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vssc12 = chr420
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Assert(!hssc12 || target_width%2  == 0, "ResizeX: target width of "+csp+" must be a multiple of 2")
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Assert(!hssc14 || target_width%4  == 0, "ResizeX: target width of "+csp+" must be a multiple of 4")
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Assert(!vssc12 || target_height%2 == 0, "ResizeX: target height of "+csp+" must be a multiple of 2")
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# Set chroma target and src values based on the subsampling ratios
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target_width_c  = hssc12 ? target_width/2  : hssc14 ? target_width/4 : target_width
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target_height_c = vssc12 ? target_height/2 : target_height
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src_left_c      = hssc12 ? src_left/2.0    : hssc14 ? src_left/4.0   : src_left
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src_top_c       = vssc12 ? src_top/2.0     : src_top
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src_width2		= defined(src_width) ? src_width : iw
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src_height2		= defined(src_height) ? src_height : ih
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src_width_c     = defined(src_width) ? hssc12 ? src_width/2.0   : hssc14 ? src_width/4.0  : src_width : src_width
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src_height_c    = defined(src_height) ? vssc12 ? src_height/2.0  : src_height : src_height
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src_width_c2    = defined(src_width_c) ? src_width_c : hssc12 ? src_width2/2.0   : hssc14 ? src_width2/4.0  : src_width2
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src_height_c2   = defined(src_height_c) ? src_height_c : vssc12 ? src_height2/2.0  : src_height2
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# Add the MPEG2 chroma shift correction to the src_left_c value
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MPEG2shift = hssc12 ? 0.25*(desampling ? 1.0-Float(target_width_c)/Float(src_width_c2): 1.0-Float(src_width_c2)/Float(target_width_c))
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\          : hssc14 ? 0.375*(desampling ? 1.0-Float(target_width_c)/Float(src_width_c2) : 1.0-Float(src_width_c2)/Float(target_width_c))
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\                   : 0
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src_left_c  = cplace == "MPEG2" && kernel.LeftStr(5) != "Point" ? src_left_c+MPEG2shift
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\                                                               : src_left_c
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# Remove "Resize" from the end of the kernel string if present
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kernel = kernel.RightStr(6) == "Resize" ? kernel.LeftStr(kernel.StrLen()-6) : kernel
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# Support the Dither_resize16 kernel name variants when resizing 8-bit
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kernel = kernel == "Linear"   ? "Bilinear"
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\      : kernel == "Cubic"    ? "Bicubic"
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\      : kernel == "Gaussian" ? "Gauss"
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\                             : kernel
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# Dither_resize16 kernels without an internal equivalent can't be used without lsb things being true
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Assert(lsb || kernel == "Spline16" || kernel == "Spline36" || kernel == "Spline64" ||
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\      kernel != "Rect" && kernel != "Box" && kernel != "Blackmanminlobe" && kernel.LeftStr(6) != "Spline" && kernel != "Impulse",
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\      "ResizeX: Rect, Box, Blackmanminlobe, Spline, and Impulse kernels"+chr(10)+
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\      "are available only when resizing for lsb things)")
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# Get the taps value from the kernel string if present (overrides the parameter)
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taps = kernel.LeftStr(6)  == "Spline"          && kernel != "Spline16" && kernel != "Spline36" && kernel != "Spline64" &&
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\                                                 kernel.StrLen() >  6 ? kernel.RightStr(kernel.StrLen()-6).Value().Int()
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\    : kernel.LeftStr(7)  == "Lanczos"         && kernel.StrLen() >  7 ? kernel.RightStr(kernel.StrLen()-7).Value().Int()
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\    : kernel.LeftStr(8)  == "Blackman"        && kernel.LeftStr(15) != "Blackmanminlobe" &&
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\                                                 kernel.StrLen() >  8 ? kernel.RightStr(kernel.StrLen()-8).Value().Int()
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\    : kernel.LeftStr(15) == "Blackmanminlobe" && kernel.StrLen() > 15 ? kernel.RightStr(kernel.StrLen()-15).Value().Int()
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\    : kernel.LeftStr(4)  == "Sinc"            && kernel.StrLen() >  4 ? kernel.RightStr(kernel.StrLen()-4).Value().Int()
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\                                                                      : taps
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# Remove the taps value from the kernel string if present
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kernel = kernel.LeftStr(6)  == "Spline"          && kernel != "Spline16" && kernel != "Spline36" && kernel != "Spline64" &&
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\                                                   kernel.StrLen() >  6 ? kernel.LeftStr(6)
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\      : kernel.LeftStr(7)  == "Lanczos"         && kernel.StrLen() >  7 ? kernel.LeftStr(7)
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\      : kernel.LeftStr(8)  == "Blackman"        && kernel.LeftStr(15) != "Blackmanminlobe" &&
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\                                                   kernel.StrLen() >  8 ? kernel.LeftStr(8)
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\      : kernel.LeftStr(15) == "Blackmanminlobe" && kernel.StrLen() > 15 ? kernel.LeftStr(15)
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\      : kernel.LeftStr(4)  == "Sinc"            && kernel.StrLen() >  4 ? kernel.LeftStr(4)
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\                                                                        : kernel
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# Set the a1 and a2 values for bicubic presets (overrides the parameters)
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    kernel == "Catmull-Rom" || kernel == "CatRom" ? 
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\   Eval("""
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         a1     = 0.0
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         a2     = 0.5
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         kernel = "Bicubic"
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         """)
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\ : kernel == "Hermite" ?
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\   Eval("""
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         a1     = 0.0
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         a2     = 0.0
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         kernel = "Bicubic"
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         """)
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\ : kernel == "Mitchell-Netravali" || kernel == "Mitchell" ?
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\   Eval("""
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         a1     = 1.0/3.0
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         a2     = 1.0/3.0
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         kernel = "Bicubic"
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         """)
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\ : kernel == "Robidoux" ?
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\   Eval("""
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         a1     = 0.3782
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         a2     = 0.3109
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         kernel = "Bicubic"
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         """)
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\ : kernel == "SoftCubic" ?
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\   Eval("""
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         a1     = 0.75
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         a2     = 0.25
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         kernel = "Bicubic"
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         """)
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\ : kernel.LeftStr(9) == "SoftCubic" && kernel.StrLen() > 9 ?
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\   Eval("""
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         a1     = kernel.RightStr(kernel.StrLen()-9).Value()
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         a1     = a1 >= 0 && a1 <= 100 ? a1/100.0
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         \      : Assert(false, "ResizeX: SoftCubic value must be in the range 0 through 100")
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         a2     = 1.0-a1
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         kernel = "Bicubic"
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         """)
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\ : NOP()
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# If chroma=false and resizing 8-bit YUV, convert to Y8 to avoid processing chroma
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csp2   = !chroma && !lsb && !(input.isrgb()) ? "Y" : csp
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input2 = csp2 == "Y" && !sislumaonly ? sisphbd ? input.ConvertToY() : input.ConvertToY8() : input
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# Convert YUY2 to YV16 because Dither_resize16 only supports planar formats
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input2 = csp2 == "YUY2" ? input2.ConvertToYV16() : input2
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# Dither_resize16 is used if lsb things is true,
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# so the input needs to be converted to stack16 format if lsb_in=false and lsb is used
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input2 = !lsb_in && lsb ? input2.Dither_convert_8_to_16() : input2
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# Blank luma channel for luma=false
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noY = input2.BlankClip(width=target_width, height=target_height, pixel_type=sisphbd ? "Y"+string(Input.BitsPerComponent()) : "Y8", color_yuv=color_gray)
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# Perform resizing
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    lsb ?
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\   Eval("""
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         resized = input2.Dither_resize16(target_width,target_height,src_left,src_top,src_width,src_height,kernel,
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         \                                taps=taps, a1=a1, a2=a2, cplace=cplace, y=luma?3:1, u=chroma?3:1, v=chroma?3:1"""+dither_params+""")
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         """)
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\ : input.isRGB() || (sisphbd ? (csp2 == "Y" || input.is444() && luma) : (csp2 == "Y" || csp2 == "YV24" && luma)) ?
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\   Eval("""
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         r8 = desampling ? input2.ResizeX_deResizemt(target_width,target_height,src_left,src_top,src_width,src_height,kernel,taps,a1,a2,mt_params) : \
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		 				   mt ? input2.ResizeX_AvsmtResize(target_width,target_height,src_left,src_top,src_width,src_height,kernel,taps,a1,a2,mt_params) : input2.ResizeX_AvsResize(target_width,target_height,src_left,src_top,src_width,src_height,kernel,taps,a1,a2)
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         resized = luma || input.isRGB() ? r8 : noY
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         """)
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\ : Eval("""
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         r8Y = sisphbd ? input2.ConvertToY() : input2.ConvertToY8()
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         r8Y = desampling ? r8Y.ResizeX_deResizemt(target_width,target_height,src_left,src_top,src_width,src_height,kernel,taps,a1,a2,mt_params) : \
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		 					mt ? r8Y.ResizeX_AvsmtResize(target_width,target_height,src_left,src_top,src_width,src_height,kernel,taps,a1,a2,mt_params) : r8Y.ResizeX_AvsResize(target_width,target_height,src_left,src_top,src_width,src_height,kernel,taps,a1,a2)
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         r8U = sisphbd ? input2.ExtractU() : input2.UToY8()
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         r8U = desampling ? r8U.ResizeX_deResizemt(target_width_c,target_height_c,src_left_c,src_top_c,src_width_c,src_height_c,kernel,taps,a1,a2,mt_params) : \
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		 					mt ? r8U.ResizeX_AvsmtResize(target_width_c,target_height_c,src_left_c,src_top_c,src_width_c,src_height_c,kernel,taps,a1,a2,mt_params) : r8U.ResizeX_AvsResize(target_width_c,target_height_c,src_left_c,src_top_c,src_width_c,src_height_c,kernel,taps,a1,a2)
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         r8V = sisphbd ? input2.ExtractV() : input2.VToY8()
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         r8V = desampling ? r8V.ResizeX_deResizemt(target_width_c,target_height_c,src_left_c,src_top_c,src_width_c,src_height_c,kernel,taps,a1,a2,mt_params) : \
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		 					mt ? r8V.ResizeX_AvsmtResize(target_width_c,target_height_c,src_left_c,src_top_c,src_width_c,src_height_c,kernel,taps,a1,a2,mt_params) : r8V.ResizeX_AvsResize(target_width_c,target_height_c,src_left_c,src_top_c,src_width_c,src_height_c,kernel,taps,a1,a2)
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         resized = luma ? YToUV(r8U,r8V,r8Y)
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         \              : YToUV(r8U,r8V,noY)
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         """)
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resized = lsb && !lsb_out ? resized.DitherPost(mode=6) : resized
241+
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resized = lsb && !lsb_out ? resized.DitherPost(mode=dither_mode) : resized
243
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# Make sure the output is the same colorspace as the input
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resized = csp == "YV12"  ? resized.ConvertToYV12()  
246
\       : csp == "YV16"  ? resized.ConvertToYV16()
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\       : csp == "YUY2"  ? resized.ConvertToYUY2()
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\       : csp == "YV411" ? resized.ConvertToYV411()
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\       : csp == "YV24"  ? resized.ConvertToYV24()
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\       : chr420         ? resized.ConvertToYUV420()  
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\       : chr422         ? resized.ConvertToYUV422()  
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\       : chr444         ? resized.ConvertToYUV444()  
253
\                        : resized
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resized = sisphbd ? input.IsYUVA() && !(resized.IsYUVA()) ? resized.AddAlphaPlane(mt ? input.ExtractA().ResizeX_AvsmtResize(target_width,target_height,src_left,src_top,src_width,src_height,kernel,taps,a1,a2,mt_params) : input.ExtractA().ResizeX_AvsResize(target_width,target_height,src_left,src_top,src_width,src_height,kernel,taps,a1,a2)) : resized : resized
256
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return resized
258
}
259
260
# Wrapper function for AviSynth's internal resizers
261
function ResizeX_AvsResize(clip input, int target_width, int target_height, float "src_left", float "src_top",
262
\                          float "src_width", float "src_height", string "kernel", int "taps", float "a1", float "a2") {
263
264
kernel = Default(kernel, "Spline36")
265
266
Eval("""
267
     kernel == "Spline16" ||
268
\    kernel == "Spline36" ||
269
\    kernel == "Spline64" || 
270
\    kernel == "Bilinear" ||
271
\    kernel == "Point"     ? input."""+kernel+"""Resize(target_width,target_height,src_left,src_top,src_width,src_height)
272
\  : kernel == "Lanczos"  ||
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\    kernel == "Blackman" ||
274
\    kernel == "Sinc"      ? input."""+kernel+"""Resize(target_width,target_height,src_left,src_top,src_width,src_height,taps)
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\  : kernel == "Bicubic"   ? input."""+kernel+"""Resize(target_width,target_height,a1,a2,src_left,src_top,src_width,src_height)
276
\  : kernel == "Gauss"     ? input."""+kernel+"""Resize(target_width,target_height,src_left,src_top,src_width,src_height,a1)
277
\                          : Assert(false, "ResizeX_AvsResize: invalid kernel")
278
     """)
279
}
280
281
# Wrapper function for AviSynth's mt resizers
282
function ResizeX_AvsmtResize(clip input, int target_width, int target_height, float "src_left", float "src_top",
283
\                          float "src_width", float "src_height", string "kernel", int "taps", float "a1", float "a2", string "mt_params") {
284
285
kernel    = Default(kernel, "Spline36")
286
mt_params = Default(mt_params,      "")
287
288
try { Eval("""
289
     kernel == "Spline16" ||
290
\    kernel == "Spline36" ||
291
\    kernel == "Spline64" || 
292
\    kernel == "Bilinear" ||
293
\    kernel == "Point"     ? input."""+kernel+"""Resizemt(target_width,target_height,src_left,src_top,src_width,src_height"""+mt_params+""")
294
\  : kernel == "Lanczos"  ||
295
\    kernel == "Blackman" ||
296
\    kernel == "Sinc"      ? input."""+kernel+"""Resizemt(target_width,target_height,src_left,src_top,src_width,src_height,taps"""+mt_params+""")
297
\  : kernel == "Bicubic"   ? input."""+kernel+"""Resizemt(target_width,target_height,a1,a2,src_left,src_top,src_width,src_height"""+mt_params+""")
298
\  : kernel == "Gauss"     ? input."""+kernel+"""Resizemt(target_width,target_height,src_left,src_top,src_width,src_height,a1"""+mt_params+""")
299
\                          : Assert(false, "ResizeX_AvsmtResize: invalid kernel")
300
          """)
301
      } catch(error_msg) { input.ResizeX_AvsResize(target_width, target_height, src_left, src_top, src_width, src_height, kernel, taps, a1, a2) }
302
}
303
304
# Wrapper function for AviSynth's mt deresizers
305
function ResizeX_deResizemt(clip input, int target_width, int target_height, float "src_left", float "src_top",
306
\                          float "src_width", float "src_height", string "kernel", int "taps", float "a1", float "a2", string "mt_params") {
307
308
kernel    = Default(kernel, "Spline36")
309
mt_params = Default(mt_params,      "")
310
311
     kernel == "Spline16" ||
312
\    kernel == "Spline36" ||
313
\    kernel == "Spline64" || 
314
\    kernel == "Bilinear"  ? Eval("input.de"+kernel+"Resizemt(target_width,target_height,src_left,src_top,src_width,src_height"+mt_params+")")
315
\  : kernel == "Lanczos"  ||
316
\    kernel == "Blackman" ||
317
\    kernel == "Sinc"      ? Eval("input.de"+kernel+"Resizemt(target_width,target_height,src_left,src_top,src_width,src_height,taps"+mt_params+")")
318
\  : kernel == "Bicubic"   ? Eval("input.de"+kernel+"Resizemt(target_width,target_height,a1,a2,src_left,src_top,src_width,src_height"+mt_params+")")
319
\  : kernel == "Gauss"     ? Eval("input.de"+kernel+"Resizemt(target_width,target_height,src_left,src_top,src_width,src_height,a1"+mt_params+")")
320
\                          : Assert(false, "ResizeX_deResizemt: invalid kernel")
321
}
322
323
################
324
325
# base on dithertools avsi functions by cretindesalpes
326
327
Function y_gamma_to_linear (clip src,
328
\	bool "tv_range_in", bool "tv_range_out", string "curve", int "u", int "v",
329
\	float "gcor", bool "sigmoid", float "thr", float "cont")
330
{
331
	src
332
	linear_and_gamma (false,
333
\		tv_range_in, tv_range_out, curve, u, v,
334
\		gcor, sigmoid, thr, cont
335
\	)
336
}
337
338
Function y_linear_to_gamma (clip src,
339
\	bool "tv_range_in", bool "tv_range_out", string "curve", int "u", int "v",
340
\	float "gcor", bool "sigmoid", float "thr", float "cont")
341
{
342
	src
343
	linear_and_gamma (true,
344
\		tv_range_in, tv_range_out, curve, u, v,
345
\		gcor, sigmoid, thr, cont
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\	)
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}
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Function linear_and_gamma (clip src, bool l2g_flag,
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\	bool "tv_range_in", bool "tv_range_out", string "curve", int "u", int "v",
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\	float "gcor", bool "sigmoid", float "thr", float "cont")
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{
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	tv_range_in  = Default (tv_range_in,  true)
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	tv_range_out = Default (tv_range_out, true)
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	curve        = Default (curve,      "srgb")
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	u            = Default (u,               2)
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	v            = Default (v,               2)
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	gcor         = Default (gcor,          1.0)
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	sigmoid      = Default (sigmoid,     false)
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	c_num =
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\	  (curve == "srgb" ) ? 0
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\	: (curve == "709"  ) ? 1
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\	: (curve == "601"  ) ? 1
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\	: (curve == "170"  ) ? 1
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\	: (curve == "240"  ) ? 2
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\	: (curve == "2020" ) ? 3
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\	: (curve == "1886" ) ? 4
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\	: (curve == "1886a") ? 5
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\	: Assert (false, "linear_and_gamma: wrong curve value.")
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	#                                  BT-709/601
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	#                         sRGB     SMPTE 170M  SMPTE 240M    BT-2020    BT-1886    BT-1886a
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	k0    = Select (c_num, " 0.04045", " 0.081  ", " 0.0912 ", " 0.08145", "0      ", "0.35   ")
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	phi   = Select (c_num, "12.92   ", " 4.5    ", " 4.0    ", " 4.5    ", "4.5    ", "0.65709357")	# 0.35 ^ (3.0-2.6)
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	gam2  = Select (c_num, " 1      ", " 1      ", " 1      ", " 1      ", "1      ", "3.0    ")
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	alpha = Select (c_num, " 0.055  ", " 0.099  ", " 0.1115 ", " 0.0993 ", "0      ", "0      ")
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	gamma = Select (c_num, " 2.4    ", " 2.22222", " 2.22222", " 2.22222", "2.4    ", "2.6    ")
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	expr = (tv_range_in) ? "x 4096 - 56064 /" : "x 65536 /"
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	# E = (E' <= k0)   ?   (E' ^ gam2) / phi   :   ((E' + alpha) / (1 + alpha)) ^ gamma
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	g2l = expr
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	g2l =   g2l + " " + k0 +" <= "
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\	      + g2l + " " + gam2 + " ^ " + phi +" / "
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\	      + g2l + " " + alpha + " + 1 " + alpha + " + / " + gamma + " ^   ?"
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	g2l = (gcor != 1.0) ? g2l + " 0 >=   " + g2l + " " + String (gcor) + " ^   " + g2l + "   ?" : g2l
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	g2l = (sigmoid) ? build_sigmoid_expr (g2l , true , thr, cont) : g2l
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	l2g = (sigmoid) ? build_sigmoid_expr (expr, false, thr, cont) : expr
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	l2g = (gcor != 1.0) ? l2g + " 0 >=   " + l2g + " " + String (gcor) + " ^   " + l2g + "   ?" : l2g
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	# E' = (E <= k0 / phi)   ?   (E * phi) ^ (1 / gam2)   :   (E ^ (1 / gamma)) * (alpha + 1) - alpha
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	l2g =   l2g + " " + k0 + " " + phi + " / <= "
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\	      + l2g + " " + phi + " * 1 " + gam2 + " / ^ "
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\	      + l2g + " 1 " + gamma + " / ^ " + alpha + " 1 + * " + alpha + " -   ?"
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	expr = (l2g_flag) ? l2g : g2l
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	expr = expr + ((tv_range_out) ? " 56064 * 4096 +" : " 65536 *")
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	src.mt_lut (expr="i16 " + expr, scale_inputs=!tv_range_out || !tv_range_in ? "allf" : "all", y=3, u=u, v=v)
400
}
401
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# Sigmoidal functions:
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# x0 = 1 / (1 + exp (cont *  thr     ))
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# x1 = 1 / (1 + exp (cont * (thr - 1)))
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# y  = (1 / (1 + exp (cont * (thr - x))) - x0) / (x1 - x0)
406
# x  = thr - log (1 / (y * (x1 - x0) + x0) - 1) / cont
407
Function build_sigmoid_expr (string in, bool inv, float "thr", float "cont")
408
{
409
	thr   = Default (thr,  0.5)
410
	cont  = Default (cont, 6.5)
411
	Assert ((cont > 0), "build_sigmoid_expr: cont must be strictly positive.")
412
	Assert ((thr >= 0 && thr <= 1), "build_sigmoid_expr: thr must be in the 0-1 range.")
413
	x0v = 1 / (1 + exp (cont *  thr     ))
414
	x1v = 1 / (1 + exp (cont * (thr - 1)))
415
416
	x0   = String (      x0v)
417
	x1m0 = String (x1v - x0v)
418
	cont = String (cont)
419
	thr  = String (thr)
420
421
	expr = (inv)
422
\	? thr + " 1 " + in + " " + x1m0 + " * " + x0 + " + 0.000001 max / 1 - 0.000001 max log " + cont + " / -"
423
\	: "1 1 " + cont + " " + thr + " " + in + " - * exp + / " + x0 + " - " + x1m0 + " /"
424
425
	return (expr)
426
}