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206 lines
7.9 KiB
Plaintext
206 lines
7.9 KiB
Plaintext
concrete sanskrit of Numerals = {
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flags coding = utf8 ;
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-- include numerals.Abs.gf ;
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-- flags coding=devanagari ;
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param DForm = unit | ten ;
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param DSize = sg | r2 | r3 | r4 | r5 | r6 | r7 | r8 | r9 ;
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param Size = sing | dual | less10 | more100 | more10 ;
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oper
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vowel : Strs = strs {"अ" ; "ए" ; "इ" ; "उ" ; "ओ"} ;
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dental : Strs = strs {"न"; "त"; "द"} ;
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labial : Strs = strs {"म"; "प"; "ब"} ;
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velar : Strs = strs {"ग़"; "क"; "ग"} ;
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affricate : Strs = strs {"ञ" ; "च"; "ज" } ;
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retroflex : Strs = strs {"ण" ; "ट" ; "ड"; "ष"} ;
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sibilant : Strs = strs {"श" ; "स"; "ह"; "र"} ; -- r also
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unvoiced : Strs = strs {"क"; "प"; "च"; "त"} ;
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oper
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S : Str = pre {"ष" ; "ट" / unvoiced ; "ड" / vowel } ;
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as : Str = pre {"ओ" ; "अस" / unvoiced ; "अः" / sibilant } ;
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i : Str = pre {"इ" ; "य" / vowel } ;
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am : Str = "अ" + (pre {"म" ; "न" / dental ; "ग़" / velar ; "ञ" / affricate ; "ण" / retroflex ; "ं" / sibilant}) ;
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a_ : Str = pre { "आ" ; "अ" / vowel } ; -- shortened if a follows (no other vowel occur initally)
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r : Str = pre {"र" ; "स" / unvoiced ; "च" / affricate ; "ः" / sibilant } ;
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t : Str = pre {"त" ; "च" / affricate ; "ट" / retroflex } ;
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LinDigit = {s : DForm => Str ; size : DSize} ;
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lincat Numeral = { s : Str } ;
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lincat Digit = LinDigit ;
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lincat Sub10 = {s : DForm => Str ; size : DSize} ;
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lincat Sub100 = {s : Str ; s2 : Str ; size : Size} ;
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lincat Sub1000 = {s : Str ; s2 : Str ; size : Size } ;
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lincat Sub1000000 = { s : Str } ;
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lin num x0 =
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{s = [] ++ x0.s ++ []} ; -- the Devanagari environment
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oper mkNum : Str -> Str -> DSize -> LinDigit =
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\u -> \t -> \sz ->
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{s = table {unit => u ; ten => t } ; size = sz } ;
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-- lin n1 mkNum "एक" daca ... ;
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lin n2 = mkNum "द्व" viMcati r2 ;
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lin n3 = mkNum ("त्र" + i) triMcat r3 ;
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lin n4 = mkNum ("चतु" + r) catvariMcat r4 ;
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lin n5 = mkNum "पञ्च" pancacat r5 ;
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lin n6 = mkNum ("ष" + S) SaSTi r6 ;
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lin n7 = mkNum "सप्त" saptati r7 ;
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lin n8 = mkNum "अष्ट" aciti r8;
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lin n9 = mkNum "नव" navati r9 ;
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oper daca : Str = "दश" ;
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oper viMcati : Str = "विंशत" + i;
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oper triMcat : Str = "त्रिंश" + t;
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oper catvariMcat : Str = "चत्वारिंश" + t ;
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oper pancacat : Str = "पञ्चाश" + t;
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oper SaSTi : Str = "षष्ट" + i;
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oper saptati : Str = "सप्तत" + i ;
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oper aciti : Str = "अशीत" + i ;
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oper navati : Str = "नवत" + i ;
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oper mkR1 : Str -> Str -> DSize => Str = \a1 -> \a2 -> table {
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sg => a1 + daca ;
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r2 => a2 + viMcati ;
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r3 => a2 + triMcat ;
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r4 => a2 + catvariMcat ;
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r5 => a2 + pancacat ;
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r6 => a2 + SaSTi ;
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r7 => a2 + saptati ;
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r8 => a2 + aciti ;
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r9 => a2 + navati
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} ;
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oper mkR : Str -> DSize => Str = \a1 -> table {
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sg => a1 + daca ;
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r2 => a1 + viMcati ;
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r3 => a1 + triMcat ;
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r4 => a1 + catvariMcat ;
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r5 => a1 + pancacat ;
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r6 => a1 + SaSTi ;
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r7 => a1 + saptati ;
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r8 => a1 + aciti ;
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r9 => a1 + navati
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} ;
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oper mkR9 : Str -> DSize => Str = \a1 -> table {
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sg => variants {a1 + daca ; "ऊना" + viMcati} ;
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r2 => variants {a1 + viMcati ; "ऊना" + triMcat } ;
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r3 => variants {a1 + triMcat ; "ऊना" + catvariMcat } ;
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r4 => variants {a1 + catvariMcat ; "ऊना" + pancacat } ;
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r5 => variants {a1 + pancacat ; "ऊना" + SaSTi } ;
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r6 => variants {a1 + SaSTi ; "ऊना" + saptati } ;
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r7 => variants {a1 + saptati ; "ऊना" + aciti } ;
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r8 => variants {a1 + aciti ; "ऊना" + navati } ;
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r9 => variants {a1 + navati ; "ऊना" + cata }
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} ;
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oper mkR3 : Str -> Str -> DSize => Str = \a1 -> \a2 -> table {
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sg => a1 + daca ;
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r2 => a1 + viMcati ;
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r3 => a1 + triMcat ;
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r4 => variants { a2 + catvariMcat ; a1 + catvariMcat } ;
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r5 => variants { a2 + pancacat ; a1 + pancacat } ;
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r6 => variants { a2 + SaSTi ; a1 + SaSTi } ;
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r7 => variants { a2 + saptati ; a1 + saptati } ;
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r8 => a2 + aciti ;
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r9 => variants { a2 + navati ; a1 + navati }
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} ;
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oper mkR6 : Str -> DSize => Str = \a1 -> table {
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sg => "षोडश" ;
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r2 => a1 + viMcati ;
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r3 => a1 + triMcat ;
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r4 => a1 + catvariMcat ;
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r5 => a1 + pancacat ;
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r6 => a1 + SaSTi ;
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r7 => a1 + saptati ;
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r8 => a1 + aciti ;
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r9 => "षोण्णवत" + i
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} ;
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oper rows : DSize => DSize => Str = table {
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sg => mkR1 ("एक" + a_) eka ;
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r2 => mkR3 ("द्व" + a_) ("द्व" + i) ;
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r3 => mkR3 ("त्रय" + as) ("त्र" + i) ;
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r4 => mkR ("चतु" + r) ;
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r5 => mkR "पञ्च" ;
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r6 => mkR6 ("ष" + S) ;
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r7 => mkR "सप्त" ;
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r8 => mkR3 ("अष्ट" + a_) "अष्ट" ;
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r9 => mkR9 "नव"
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} ;
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oper eka : Str = "एक" ;
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lin pot01 = {s = table {unit => eka ; ten => daca } ; size = sg} ;
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lin pot0 d = d ;
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lin pot110 = {s = daca ; s2 = variants { ayuta ; mksahasra2 more10 daca }; size = more10} ;
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lin pot111 = {s = rows ! sg ! sg ;
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s2 = mkayutamore eka sg eka sg ;
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size = more10} ;
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lin pot1to19 d =
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{s = rows ! d.size ! sg ;
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s2 = mkayutamore eka sg (d.s ! unit) d.size;
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size = more10} ;
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lin pot0as1 n = {s = n.s ! unit ;
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s2 = mksahasra n.size (n.s ! unit) ;
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size = table {sg => sing ; r2 => dual ; _ => less10} ! n.size };
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lin pot1 d = {s = d.s ! ten ;
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s2 = variants {mkayuta d.size (d.s ! unit) ; mksahasra2 more10 (d.s ! ten) } ;
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size = more10} ;
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lin pot1plus d e = {s = rows ! e.size ! d.size ;
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s2 = mkayutamore (d.s ! unit) d.size (e.s ! unit) e.size ;
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size = more10} ;
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lin pot1as2 n = {s = n.s ; s2 = n.s2 ; size = n.size } ;
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lin pot2 d =
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{s = mkcata d.size (d.s ! unit);
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s2 = mklakh d.size (d.s ! unit) ;
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size = more100} ;
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lin pot2plus d e =
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{s = hundredplusunit (mkcata d.size (d.s ! unit)) e.s ;
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s2 = lakhplus (mklakh d.size (d.s ! unit)) e.s2 ;
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size = more100} ;
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lin pot2as3 n = {s = n.s } ;
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lin pot3 n =
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{s = table {more10 => n.s2 ;
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_ => mksahasra2 n.size n.s } ! n.size} ;
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lin pot3plus n m =
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{s = p3plus (table {more10 => n.s2 ; _ => mksahasra2 n.size n.s } ! n.size) n.size m.s m.size} ;
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oper mksahasra2 : Size -> Str -> Str = \sz -> \s -> table {sing => "सहस्र" + am ; dual => "द्वे" ++ "सहस्रे" ; _ => s ++ ("सहस्राण" + i)} ! sz ;
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oper mksahasra : DSize -> Str -> Str = \sz -> \s -> table {sg => "सहस्र" + am ; r2 => "द्वे" ++ "सहस्रे" ; _ => s ++ ("सहस्राण" + i)} ! sz ;
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oper mkcata : DSize -> Str -> Str = \sz -> \s -> table {sg => cata ; r2 => variants {"द्वे" ++ "शते" ; "द्वी" + cata }; _ => s ++ ("शतान" + i)} ! sz ;
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oper mklakh : DSize -> Str -> Str = \sz -> \s -> table {sg => "लक्ष" + am ; r2 => "द्वे" ++ "लक्षे" ; _ => s ++ ("लक्षाण" + i) } ! sz ;
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oper mklakh2 : Size -> Str -> Str = \sz -> \s -> table {sing => "लक्ष" + am ; dual => "द्वे" ++ "लक्षे" ; _ => s ++ ("लक्षाण" + i) } ! sz ;
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oper mkayuta : DSize -> Str -> Str = \sz -> \s -> table {sg => "अयुत" + am ; r2 => "द्वे" ++ "अयुते" ; _ => s ++ ("अयुतान" + i)} ! sz ;
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oper adhikam : Str = "अधिक" + am ;
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oper ca : Str = "च" ;
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oper ayuta : Str = "अयुत" + am ;
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oper cata : Str = "शत" + am ;
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oper hundredplusunit : Str -> Str -> Str = \hun -> \unit ->
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variants {hun ++ unit ++ "च" ; unit ++ adhikam ++ hun};
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oper lakhplus : Str -> Str -> Str = \lakh -> \low -> lakh ++ low ++ ca ;
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oper p3plus : Str -> Size -> Str -> Size -> Str = \b -> \bs -> \s -> \ss -> table {more10 => table {more10 => b ++ ca ++ s ++ ca ; _ => s ++ adhikam ++ b} ! ss;
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_ => table {more10 => b ++ s ++ ca ; _ => s ++ b} ! ss } ! bs;
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mkayutamore : Str -> DSize -> Str -> DSize -> Str = \d -> \ds -> \e -> \es ->
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variants {(mkayuta ds d) ++ (mksahasra es e) ;
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mklakh2 more10 (rows ! es ! ds) } ;
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}
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