Temperature conversion/REXX: Difference between revisions
m (added wording to the REXX section header.) |
m (added whitespace.) |
||
| (11 intermediate revisions by 2 users not shown) | |||
| Line 2: | Line 2: | ||
Note that conversion from/to the '''Dalton''' temperature scale requires natural logarithms. |
Note that conversion from/to the '''Dalton''' temperature scale requires natural logarithms ('''ln'''), and the '''pow''' function. |
||
=={{header|REXX}}== |
|||
| ⚫ | |||
No commenting/explaining was affixed to the higher math functions because it would detract from the logic of the main program. |
|||
/*──────────────────────────────────────────────────────────────────────────────────────────────── |
|||
<span style='font-family: "Linux Libertine",Georgia,Times,serif;font-size:150%;'>[[REXX]]</span><hr> |
|||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
────────────────────────────────────────────────────────────────────────────────────────────────*/ |
|||
| ⚫ | |||
/* |
|||
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡ |
|||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
| ⚫ | |||
pp |
|||
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡ |
|||
*/ |
|||
call e /*let's see the precision we can use. */ |
call e /*let's see the precision we can use. */ |
||
numeric digits length(e) - 1 /*big digits for Planck & |
numeric digits length(e) - 1 /*big digits for Planck & Dalton scale.*/ |
||
/*subtract one for the decimal point.*/ |
/*subtract one for the decimal point.*/ |
||
parse arg tList /*get the specified temperature lists. */ |
parse arg tList /*get the specified temperature lists. */ |
||
tList= space(tList) /*elide any and all superfluous blanks.*/ |
|||
do until tList='' /*process the list of temperatures. */ |
do until tList='' /*process the list of temperatures. */ |
||
parse var tList x ',' tList /*temperatures are separated by commas.*/ |
parse var tList x ',' tList /*temperatures are separated by commas.*/ |
||
x= translate(x, '((', "[{") |
x= translate(x, '(((', "[{«") /*support other grouping symbols. */ |
||
x= space(x) /*elide any and all superfluous blanks.*/ |
x= space(x) /*elide any and all superfluous blanks.*/ |
||
parse var x z '(' /*handle any comments (if there're any)*/ |
parse var x z '(' /*handle any comments (if there're any)*/ |
||
parse upper var z z ' TO ' ! . /*separate the TO option from number.*/ |
parse upper var z z ' TO ' ! . /*separate the TO option from number.*/ |
||
parse |
parse upper var z z 'NOT' not . , noS noE /*separate NOT option from number. */ |
||
/*for the NOT keyword, see (below).*/ |
|||
/* *xxx ◄───don't show scales that end in xxx */ |
/* *xxx ◄───don't show scales that end in xxx */ |
||
/* xxx* ◄─── " " " " begin with xxx */ |
/* xxx* ◄─── " " " " begin with xxx */ |
||
| Line 47: | Line 53: | ||
if right(not, 1) == '*' then noS= left(not, length(not) - 1) |
if right(not, 1) == '*' then noS= left(not, length(not) - 1) |
||
noL= length(noE || noS) |
noL= length(noE || noS) |
||
if noL==0 then call serr |
if noL==0 then call serr , |
||
"illegal NOT keyword, no leading or trailing * specified." |
|||
end |
end |
||
| Line 56: | Line 63: | ||
if z=='' then call serr 'no arguments were specified.' |
if z=='' then call serr 'no arguments were specified.' |
||
_=verify(z, '+-.0123456789') |
_= verify(z, '+-.0123456789') /*list of valid decimal digs & thingys.*/ |
||
n= z /*obtain a "backup" copy of Z (number).*/ |
|||
n=z |
|||
if _\==0 then do |
if _\==0 then do |
||
| Line 65: | Line 72: | ||
end |
end |
||
else u= 'k' /*assume kelvin as per task requirement*/ |
else u= 'k' /*assume kelvin as per task requirement*/ |
||
/* ────── */ |
|||
if \datatype(n, 'N') then call serr "illegal number:" n |
if \datatype(n, 'N') then call serr "illegal number:" n |
||
| Line 97: | Line 104: | ||
/*────────────────────────────────────────────────────────────────────────────────────────────────────────────────*/ |
/*────────────────────────────────────────────────────────────────────────────────────────────────────────────────*/ |
||
convert2Fahrenheit: /*convert N ──► |
convert2Fahrenheit: /*convert N ──► ºF temperatures. */ |
||
/* [↓] |
/* [↓] fifty-eight temperature scales.*/ |
||
select |
select |
||
when sn=='ABSOLUTE' then F= n * 9/5 - 459.67 |
|||
when sn=='AMONTON' then F= n * 8.37209 - 399.163 |
when sn=='AMONTON' then F= n * 8.37209 - 399.163 |
||
when sn=='BARNSDORF' then F= n * 6.85714 + 6.85714 |
when sn=='BARNSDORF' then F= n * 6.85714 + 6.85714 |
||
| Line 160: | Line 168: | ||
otherwise call serr 'invalid temperature scale: ' u |
otherwise call serr 'invalid temperature scale: ' u |
||
end /*select*/ |
end /*select*/ |
||
return |
return |
||
| Line 166: | Line 173: | ||
/*─────────────────────────────────────────────────────────────────────────────────────────────────────────────*/ |
/*─────────────────────────────────────────────────────────────────────────────────────────────────────────────*/ |
||
convert2specific: /*convert |
convert2specific: /*convert ºF ──► xxx temperatures.*/ |
||
K = (F + 459.67) * 5/9 /*compute temperature in kelvin scale. */ |
K = (F + 459.67) * 5/9 /*compute temperature in kelvin scale. */ |
||
a = (1e || (-digits() % 2) - digits() % 20) /*minimum number for Dalton temperature*/ |
a = (1e || (-digits() % 2) - digits() % 20) /*minimum number for Dalton temperature*/ |
||
eV= (F + 459.67) / 20888.1 /*compute the number of electron volts.*/ |
eV = (F + 459.67) / 20888.1 /*compute the number of electron volts.*/ |
||
if ?('ABSOLUTE') then say $( k ) "Absolute" |
|||
if ?('AMONTON') then say $( ( F + 399.163 ) / 8.37209 ) "Amonton" |
if ?('AMONTON') then say $( ( F + 399.163 ) / 8.37209 ) "Amonton" |
||
if ?('BARNSDORF') then say $( ( F - 6.85715) / 6.85715 ) "Barnsdorf" |
if ?('BARNSDORF') then say $( ( F - 6.85715) / 6.85715 ) "Barnsdorf" |
||
| Line 242: | Line 250: | ||
upper yU /*uppercase version of temperature unit*/ |
upper yU /*uppercase version of temperature unit*/ |
||
if left(yU, 7)=='DEGREES' then yU=substr(yU, 8) /*is this a redundant "degrees" |
if left(yU, 7)=='DEGREES' then yU=substr(yU, 8) /*is this a redundant "degrees" ? */ |
||
if left(yU, 6)=='DEGREE' then yU=substr(yU, 7) /* " " " " "degree" |
if left(yU, 6)=='DEGREE' then yU=substr(yU, 7) /* " " " " "degree" ? */ |
||
yU= strip(yU) /*elide all leading & trailing blanks. */ |
yU= strip(yU) /*elide all leading & trailing blanks. */ |
||
| Line 252: | Line 260: | ||
select /*change abbreviations ──► shortname.*/ |
select /*change abbreviations ──► shortname.*/ |
||
when abbrev('ABSOLUTE' , yU, 1) then sn= "ABSOLUTE" |
|||
when abbrev('AMONTON' , yU) then sn= "AMONTON" |
when abbrev('AMONTON' , yU) then sn= "AMONTON" |
||
when abbrev('BARNDORF' , yU,2) |, |
when abbrev('BARNDORF' , yU,2) |, |
||
| Line 278: | Line 287: | ||
abbrev('CELISU' , yU) |, /* 1% misspelled.*/ |
abbrev('CELISU' , yU) |, /* 1% misspelled.*/ |
||
abbrev('CELSU' , yU) |, /* 1% misspelled.*/ |
abbrev('CELSU' , yU) |, /* 1% misspelled.*/ |
||
abbrev('HECTOGRADE' , yU) |, |
|||
abbrev('CELSIU' , yU) then sn= "CELSIUS" |
abbrev('CELSIU' , yU) then sn= "CELSIUS" |
||
when abbrev('CIMANTO' , yU,2) |, |
when abbrev('CIMANTO' , yU,2) |, |
||
| Line 428: | Line 438: | ||
/*──────────────────────────────────────────────────────────────────────────────────────*/ |
/*──────────────────────────────────────────────────────────────────────────────────────*/ |
||
?: parse arg y |
?: parse arg y 1 yu |
||
| ⚫ | |||
if not\=='' then do |
if not\=='' then do |
||
if noS\=="" then if left( |
if noS\=="" then if left(yu, noL)==noS then return 0 |
||
if noE\=='' then if right( |
if noE\=='' then if right(yu, noL)==noE then return 0 |
||
end |
end |
||
| Line 456: | Line 467: | ||
if x=0 then return 0 /*Argument is zero? Return 0.*/ |
if x=0 then return 0 /*Argument is zero? Return 0.*/ |
||
/*This function work for zero.*/ |
/*This function work for zero.*/ |
||
d= digits() /*get # of dec. digs, current.*/ |
|||
| ⚫ | |||
m.= 9 /* |
m.= 9 /*set " " " " at start.*/ |
||
h= d+6 /*add |
h= d+6 /*add 6 for rounding concerns.*/ |
||
numeric form /* |
numeric form /*right form of exponentiation*/ |
||
numeric digits /*start with nine numeric digs*/ |
numeric digits /*start with nine numeric digs*/ |
||
| Line 465: | Line 476: | ||
/*No exponent? Then add one. */ |
/*No exponent? Then add one. */ |
||
parse value format(x, 2, 1, , 0) 'E0' with g "E" _ . |
parse value format(x, 2, 1, , 0) 'E0' with g "E" _ . |
||
/* [ |
/* [↓] halve the exponent. */ |
||
g=g *.5'e'_ % 2 |
g=g * .5'e'_ % 2 /*a first best guess for sqrt,*/ |
||
/*which is 1/2 of the exponent*/ |
|||
/* [↓] use min number of dec.*/ |
/* [↓] use min number of dec.*/ |
||
/* digs for early SQRTs. */ |
/* digs for early SQRTs. */ |
||
do j=0 while h>9 |
do j=0 while h>9 |
||
m.j= h /*calculate # of digits to use*/ |
m.j= h /*calculate # of digits to use*/ |
||
h= h % 2 + 1 |
h= h % 2 + 1 /*halving the exponent means */ |
||
end /*j*/ |
end /*j*/ /* that it'll be doubled as */ |
||
/* the M. array will be */ |
|||
/* processed backwards. [↓] */ |
|||
do k=j+5 to 0 by -1 /*calculate higher precision. */ |
do k=j+5 to 0 by -1 /*calculate higher precision. */ |
||
numeric digits m.k /*bump the decimal digits. */ |
numeric digits m.k /*bump the decimal digits. */ |
||
| Line 485: | Line 497: | ||
?: parse arg y; if not\=='' then do; if noS\=="" then if left(y, noL)==noS then return 0; if noE\=='' then if right(y, noL)==noE then return 0; end; if all | y==! then return 1; return 0 |
?: parse arg y; if not\=='' then do; if noS\=="" then if left(y, noL)==noS then return 0; if noE\=='' then if right(y, noL)==noE then return 0; end; if all | y==! then return 1; return 0 |
||
e: e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427427466391932; return e /*112 useful decimal digits. */ |
e: e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427427466391932; return e /*112 useful decimal digits. */ |
||
isInt: return datatype(arg(1), 'W') /*is the argument a whole number (integer)?*/ |
isInt: return datatype(arg(1), 'W') /*is the argument a whole number (integer)? */ |
||
exp: procedure; parse arg x; ix=x%1; if abs(x-ix)>.5 then ix=ix+sign(x); x=x-ix; z=1; _=1; w=z; do j=1; _=_*x/j; z=(z+_)/1; if z==w then leave; w=z; end; if z\==0 then z= z * e()**ix; return z/1 |
exp: procedure; parse arg x; ix=x%1; if abs(x-ix)>.5 then ix=ix+sign(x); x=x-ix; z=1; _=1; w=z; do j=1; _=_*x/j; z=(z+_)/1; if z==w then leave; w=z; end; if z\==0 then z= z * e()**ix; return z/1 |
||
ln: procedure; parse arg x; call e; ig=x>1.5; is=1-2*(ig\==1); ii=0; xx=x; return ln..() |
ln: procedure; parse arg x; call e; ig=x>1.5; is=1-2*(ig\==1); ii=0; xx=x; return ln..() |
||
| Line 494: | Line 506: | ||
rooti: x=abs(x); y=abs(y); a= digits() + 5; g=rootIg(); m= y-1; d=5; do until d==a; d=min(d+d, a); numeric digits d; o=0; do until o=g; o=g; g=format( (m*g**y+x) /y/g**m, , d-2); end; end; _= g * sign(ox); if oy<0 then _= 1/_; return _ |
rooti: x=abs(x); y=abs(y); a= digits() + 5; g=rootIg(); m= y-1; d=5; do until d==a; d=min(d+d, a); numeric digits d; o=0; do until o=g; o=g; g=format( (m*g**y+x) /y/g**m, , d-2); end; end; _= g * sign(ox); if oy<0 then _= 1/_; return _ |
||
rootIg: numeric form;parse value format(x,2,1,,0) 'E0' with ? 'E' _ .; return (? / y'E'_ % y) + (x>1) |
rootIg: numeric form;parse value format(x,2,1,,0) 'E0' with ? 'E' _ .; return (? / y'E'_ % y) + (x>1) |
||
s: if arg(1)==1 then return arg(3); return word(arg(2) 's',1) |
s: if arg(1)==1 then return arg(3); return word(arg(2) 's',1) /*pluralizer.*/ |
||
serr: say; say '***error***'; say; say arg(1); say; exit 13 |
serr: say; say '***error***'; say; say arg(1); say; exit 13 |
||
</lang> |
|||
Latest revision as of 21:16, 28 July 2020
This is the unabridged version of the REXX program to solve the Rosetta Code task of Temperature conversion.
Note that conversion from/to the Dalton temperature scale requires natural logarithms (ln), and the pow function.
No commenting/explaining was affixed to the higher math functions because it would detract from the logic of the main program.
<lang rexx>/*REXX program converts temperatures for fifty─eight different temperature scales. */
/*
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
tt tt tt tt
tttttt tttttt tttttt eeee mmm mm ppppp eeee rr rr aaaa tttttt uu uu rr rr eee
tt eeeeee mmmmmmmm pppppp eeeeee rrrrrr aaaaa tt uu uu rrrrrr eeeeee
tt ee ee mm mm mm pp pp ee ee rrr rr aa tt uu uu rrr rr ee ee
tt eeeeee mm mm mm pp pp eeeeee rr aaaaaa tt uu uu rr eeeeee
tt eeeeee mm mm mm pppppp eeeeee rr aaaaaaa tt uu uu rr eeeeee
tt tt ee mm mm mm ppppp ee rr aa aa tt tt uu uu rr ee
ttttt eeeee mm mm mm pp eeeee rr aaaaaaa ttttt uuuuuu rr eeeee
ttt eee mm mm mm pp eee rr aaaaaaa ttt uuu uu rr eee
pp
pp
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
- /
call e /*let's see the precision we can use. */
numeric digits length(e) - 1 /*big digits for Planck & Dalton scale.*/
/*subtract one for the decimal point.*/
parse arg tList /*get the specified temperature lists. */ tList= space(tList) /*elide any and all superfluous blanks.*/
do until tList= /*process the list of temperatures. */
parse var tList x ',' tList /*temperatures are separated by commas.*/
x= translate(x, '(((', "[{«") /*support other grouping symbols. */
x= space(x) /*elide any and all superfluous blanks.*/
parse var x z '(' /*handle any comments (if there're any)*/
parse upper var z z ' TO ' ! . /*separate the TO option from number.*/
parse upper var z z 'NOT' not . , noS noE /*separate NOT option from number. */
/*for the NOT keyword, see (below).*/
/* *xxx ◄───don't show scales that end in xxx */
/* xxx* ◄─── " " " " begin with xxx */
if not\== then do
if left(not, 1) == '*' then noE= substr(not, 2)
if right(not, 1) == '*' then noS= left(not, length(not) - 1)
noL= length(noE || noS)
if noL==0 then call serr ,
"illegal NOT keyword, no leading or trailing * specified."
end
if !== then != "ALL" /*nothing specific, so choose "ALL". */
all= (!=='ALL') /*allows specification of the "TO" opt.*/
if z== then call serr 'no arguments were specified.'
_= verify(z, '+-.0123456789') /*list of valid decimal digs & thingys.*/ n= z /*obtain a "backup" copy of Z (number).*/
if _\==0 then do
if _==1 then call serr 'illegal temperature:' z
n= left(z, _-1) /*obtain the number (hopefully). */
u= strip( substr(z, _) ) /*obtain the temperature unit. */
end
else u= 'k' /*assume kelvin as per task requirement*/
/* ────── */
if \datatype(n, 'N') then call serr "illegal number:" n
if \all then do /*there is a TO ααα temp. scale. */
call scaleName ! /*process the TO temp. abbreviation.*/
!= sn /*assign the full temperature name to !*/
end /*! now contains temp scale full name.*/
call scaleName u /*allow alternate temp. scale spellings*/ call convert2Fahrenheit /*convert a temperature ──► Fahrenheit.*/
say right(' ' x, 79, "─") /*show original value & scale (for sep)*/
call convert2specific /*convert Fahrenheit ──► specific temp,*/ end /*until tlist*/ /*this is a biggish DO loop. */
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
$: procedure; showDig= 8 /*only show 8 significant decimal digs.*/
_= commas( format( arg(1), , showDig ) / 1 ) /*format# 8 digits past . and add comma*/
p= pos(., _) /*find position of the decimal point. */
/* [↓] align integers with FP numbers.*/
if p==0 then _= _ || left(, 5 + showDig + 1) /*no decimal point.*/
else _= _ || left(, 5 + showDig - length(_) + p) /*has " " */
return right(_, max(60, length(_) ) ) /*return the re─formatted argument (#).*/
/*────────────────────────────────────────────────────────────────────────────────────────────────────────────────*/
convert2Fahrenheit: /*convert N ──► ºF temperatures. */
/* [↓] fifty-eight temperature scales.*/
select
when sn=='ABSOLUTE' then F= n * 9/5 - 459.67
when sn=='AMONTON' then F= n * 8.37209 - 399.163
when sn=='BARNSDORF' then F= n * 6.85714 + 6.85714
when sn=='BEAUMUIR' then F= n * 2.22951 + 32
when sn=='BENART' then F= n * 1.43391 + 31.2831
when sn=='BERGEN' then F=(n + 23.8667) * 15/14
when sn=='BRISSEN' then F= n * 32/15 + 32
when sn=='CELSIUS' then F= n * 9/5 + 32 /*a single C is taken as Celsius.*/
when sn=='CIMENTO' then F= n * 2.70677 - 4.54135
when sn=='CRUQUIUS' then F= n * 0.409266 - 405.992
when sn=='DALENCE' then F= n * 2.7 + 59
when sn=='DALTON' then F= 273.15 * pow(273.15 / 273.15, n / 100) * 1.8 - 459.67
when sn=='DANIELL' then F= n * 7.27194 + 55.9994
when sn=='DE LA HIRE' then F=(n - 3) / 0.549057
when sn=='DE LA VILLE' then F=(n + 6.48011) / 0.985568
when sn=='DELISLE' then F=212 - n * 6/5
when sn=='DELISLE OLD' then F=212 - n * 1.58590197
when sn=='DE LUC' then F=(n + 14) * 16/7
when sn=='DE LYON' then F=(n + 17.5) * 64/35
when sn=='DE REVILLAS' then F=212 - n * 97/80
when sn=='DERHAM' then F= n / 0.38444386 - 188.578
when sn=='DERHAM OLD' then F= n * 3 + 4.5
when sn=='DE SUEDE' then F=(n + 17.6666) * 150/83
when sn=='DE VILLENEUVE' then F=(n + 23.7037) / 0.740741
when sn=='DU CREST' then F=(n + 37.9202) / 0.650656
when sn=='EDINBURGH' then F= n * 4.6546 - 6.40048
when sn=='ELECTRON VOLTS' then F= n * 20888.1 - 459.67
when sn=='FAHRENHEIT' then F= n
when sn=='FAHRENHEIT OLD' then F= n * 20/11 - 89.2727
when sn=='FLORENTINE LARGE' then F=(n + 7.42857) / 0.857143
when sn=='FLORENTINE MAGNUM' then F=(n + 73.9736 ) / 1.50659
when sn=='FLORENTINE SMALL' then F=(n - 1.38571) / 0.378571
when sn=='FOWLER' then F= n * 0.640321 + 53.7709
when sn=='FRICK' then F= n * 200/251 + 58.5339
when sn=='GASMARK' then F= n * 25 + 250
when sn=='GOUBERT' then F= n * 2 + 32
when sn=='HALES' then F= n * 1.2 + 32
when sn=='HANOW' then F= n * 1.06668 - 10.6672
when sn=='HAUKSBEE' then F= n * 18/25 + 88.16
when sn=='JACOBS-HOLBORN' then F= n * 18/71 - 53.4366
when sn=='KELVIN' then F= n * 9/5 - 459.67
when sn=='LEIDEN' then F= n * 1.8 - 423.4
when sn=='NEWTON' then F= n * 60/11 + 32
when sn=='OERTEL' then F= n + n - 32
when sn=='PLANCK' then F= n * 1.416833e32 * 9/5 - 459.67
when sn=='RANKINE' then F= n - 459.67 /*a single R is taken as Rankine.*/
when sn=='REAUMUR' then F= n * 9/4 + 32
when sn=='RICHTER' then F= n * 160/73 - 7.45205
when sn=='RINALDINI' then F= n * 15 + 32
when sn=='ROMER' then F=(n - 7.5) * 27/4 + 32
when sn=='ROSENTHAL' then F= n * 45/86 - 453.581
when sn=='ROYAL SOCIETY' then F=(n -122.82) * -50/69
when sn=='SAGREDO' then F= n * 0.3798 - 5.98
when sn=='SAINT-PATRICE' then F= n * 2.62123 + 115.879
when sn=='STUFE' then F= n * 45 + 257
when sn=='SULZER' then F= n * 1.14595 + 33.2334
when sn=='THERMOSTAT' then F= n * 54 + 32
when sn=='WEDGWOOD' then F= n * 44.7429295 + 516.2
otherwise call serr 'invalid temperature scale: ' u
end /*select*/
return
/*─────────────────────────────────────────────────────────────────────────────────────────────────────────────*/
convert2specific: /*convert ºF ──► xxx temperatures.*/
K = (F + 459.67) * 5/9 /*compute temperature in kelvin scale. */ a = (1e || (-digits() % 2) - digits() % 20) /*minimum number for Dalton temperature*/ eV = (F + 459.67) / 20888.1 /*compute the number of electron volts.*/
if ?('ABSOLUTE') then say $( k ) "Absolute"
if ?('AMONTON') then say $( ( F + 399.163 ) / 8.37209 ) "Amonton"
if ?('BARNSDORF') then say $( ( F - 6.85715) / 6.85715 ) "Barnsdorf"
if ?('BEAUMUIR') then say $( ( F - 32 ) / 2.22951 ) "Beaumuir"
if ?('BENART') then say $( ( F - 31.2831 ) / 1.43391 ) "Benart"
if ?('BERGEN') then say $( ( F * 14/15 ) - 23.8667 ) "Bergen"
if ?('BRISSON') then say $( ( F - 32 ) * 15/32 ) "Brisson"
if ?('CELSIUS') then say $( ( F - 32 ) * 5/9 ) "Celsius"
if ?('CIMENTO') then say $( ( F + 4.54135) / 2.70677 ) "Cimento"
if ?('CRUQUIUS') then say $( ( F + 405.992 ) / 0.409266 ) "Cruquius"
if ?('DALENCE') then say $( ( F - 59 ) / 2.7 ) "Dalence"
if ?('DALTON') then if K>a then say $(100*ln(k/273.15)/ln(373.15/273.15) ) "Dalton"
else say right("-infinity ", 60) "Dalton"
if ?('DANIELL') then say $( ( F - 55.9994 ) / 7.27194 ) "Daniell" if ?('DE LA HIRE') then say $( F * 0.549057 + 3 ) "De la Hire" if ?('DE LA VILLE') then say $( F * 0.985568 - 6.48011 ) "De la Ville" if ?('DELISLE') then say $( ( 212 - F ) * 5/6 ) "Delisle" if ?('DELISLE OLD') then say $( ( 212 - F ) / 1.58590197 ) "Delisle OLD" if ?('DE LUC') then say $( F * 7/16 - 14 ) "De Luc" if ?('DE LYON') then say $( F * 35/64 - 17.5 ) "De Lyon" if ?('DE REVILLAS') then say $( ( 212 - F ) * 80/97 ) "De Revillas" if ?('DERHAM') then say $( F * 0.38444386 + 72.4978 ) "Derham" if ?('DERHAM OLD') then say $( ( F - 4.5 ) / 3 ) "Derham OLD" if ?('DE VILLENEUVE') then say $( F * 0.740741 - 23.7037 ) "De Villeneuve" if ?('DE SUEDE') then say $( F * 83/150 - 17.6666 ) "De Suede" if ?('DU CREST') then say $( F * 0.650656 - 37.9202 ) "Du Crest" if ?('EDINBURGH') then say $( ( F + 6.40048) / 4.6546 ) "Edinburgh" if ?('ELECTRON VOLTS') then say $( eV ) "electron volt"s(eV) if ?('FAHRENHEIT') then say $( F ) "Fahrenheit" if ?('FAHRENHEIT OLD') then say $( F * 20/11 - 89.2727 ) "Fahrenheit OLD" if ?('FLORENTINE LARGE') then say $( F * 0.857143 - 7.42857 ) "Florentine large" if ?('FLORENTINE MAGNUM') then say $( F * 1.50659 - 73.9736 ) "Florentine Magnum" if ?('FLORENTINE SMALL') then say $( F * 0.378571 + 1.38571 ) "Florentine small" if ?('FOWLER') then say $( ( F - 53.7709 ) / 0.640321 ) "Fowler" if ?('FRICK') then say $( ( F - 58.5338 ) * 251/200 ) "Frick" if ?('GAS MARK') then say $( ( F - 250 ) * 0.04 ) "gas mark" if ?('GOUBERT') then say $( ( F + 32 ) * 0.5 ) "Goubert" if ?('HALES') then say $( ( F - 32 ) / 1.2 ) "Hales" if ?('HANOW') then say $( ( F + 10.6672 ) / 1.06668 ) "Hanow" if ?('HAUKSBEE') then say $( ( F - 88.16 ) * 25/18 ) "Hauksbee" if ?('JACOBS-HOLBORN') then say $( ( F + 53.4366 ) * 71/18 ) "Jacobs-Holborn" if ?('KELVIN') then say $( k ) "kelvin"s(k) if ?('LEIDEN') then say $( F / 1.8 + 235.222 ) "Leiden" if ?('NEWTON') then say $( ( F - 32 ) * 11/60 ) "Newton" if ?('OERTEL') then say $( ( F + 32 ) * 0.5 ) "Oertel" if ?('PLANCK') then say $( ( F + 459.67 ) * 5/9 / 1.416833e32 ) "Planck" if ?('RANKINE') then say $( F + 459.67 ) "Rankine" if ?('REAUMUR') then say $( ( F - 32 ) * 4/9 ) "Reaumur" if ?('RICHTER') then say $( ( F + 7.45205) * 73/160 ) "Richter" if ?('RINALDINI') then say $( ( F - 32 ) / 15 ) "Rinaldini" if ?('ROMER') then say $( ( F - 32 ) * 4/27 + 7.5 ) "Romer" if ?('ROSENTHAL') then say $( ( F + 453.581 ) * 86/45 ) "Rosenthal" if ?('ROYAL SOCIETY') then say $( F * -69/50 + 122.82 ) "Royal Society of London" if ?('SAGREDO') then say $( ( F + 5.98 ) / 0.3798 ) "Segredo" if ?('SAINT-PATRICE') then say $( ( F - 115.879 ) / 2.62123 ) "Saint-Patrice" if ?('STUFE') then say $( ( F - 257 ) / 45 ) "Stufe" if ?('SULZER') then say $( ( F - 33.2334 ) / 1.14595 ) "Sulzer" if ?('THERMOSTAT') then say $( ( F - 32 ) / 54 ) "Thermostat" if ?('WEDGWOOD') then say $( ( F - 516.2 ) / 44.7429295 ) "Wedgwood"
return
/*──────────────────────────────────────────────────────────────────────────────────────────────────*/
scaleName: parse arg y /*abbreviations ──► temp. short name.*/
yU= translate(y, '-eE', "_éÉ") /*translate some accented characters. */
upper yU /*uppercase version of temperature unit*/
if left(yU, 7)=='DEGREES' then yU=substr(yU, 8) /*is this a redundant "degrees" ? */ if left(yU, 6)=='DEGREE' then yU=substr(yU, 7) /* " " " " "degree" ? */
yU= strip(yU) /*elide all leading & trailing blanks. */
_= length(yU) /*obtain the length of the yU value. */
if right(yU,1)=='S' & _>1 then yU=left(yU, _-1) /*remove any trailing plural(s). */
select /*change abbreviations ──► shortname.*/
when abbrev('ABSOLUTE' , yU, 1) then sn= "ABSOLUTE"
when abbrev('AMONTON' , yU) then sn= "AMONTON"
when abbrev('BARNDORF' , yU,2) |,
abbrev('BARNSDORF' , yU,2) then sn= "BARNSDORF"
when abbrev('BEAUMIUR' , yU,3) |,
abbrev('BEAUMUIR' , yU,3) then sn= "BEAUMUIR"
when abbrev('BENERT' , yU,3) |,
abbrev('BENART' , yU,3) then sn= "BENART"
when abbrev('BRISSEN' , yU,3) |,
abbrev('BRISSON' , yU,3) then sn= "BRISSEN"
when abbrev('BURGEN' , yU,3) |,
abbrev('BURGAN' , yU,3) |,
abbrev('BERGAN' , yU,3) |,
abbrev('BERGEN' , yU,3) then sn= "BERGEN"
when abbrev('CENTIGRADE' , yU) |,
abbrev('CENTRIGRADE' , yU) |, /* 50% misspelled.*/
abbrev('CETIGRADE' , yU) |, /* 50% misspelled.*/
abbrev('CENTINGRADE' , yU) |,
abbrev('CENTESIMAL' , yU) |,
abbrev('CELCIU' , yU) |, /* 82% misspelled.*/
abbrev('CELCIOU' , yU) |, /* 4% misspelled.*/
abbrev('CELCUI' , yU) |, /* 4% misspelled.*/
abbrev('CELSUI' , yU) |, /* 2% misspelled.*/
abbrev('CELCEU' , yU) |, /* 2% misspelled.*/
abbrev('CELCU' , yU) |, /* 2% misspelled.*/
abbrev('CELISU' , yU) |, /* 1% misspelled.*/
abbrev('CELSU' , yU) |, /* 1% misspelled.*/
abbrev('HECTOGRADE' , yU) |,
abbrev('CELSIU' , yU) then sn= "CELSIUS"
when abbrev('CIMANTO' , yU,2) |,
abbrev('CIMENTO' , yU,2) then sn= "CIMENTO"
when abbrev('CRUQUIOU' , yU,2) |,
abbrev('CRUQUIO' , yU,2) |,
abbrev('CRUQUIU' , yU,2) then sn= "CRUQUIU"
when abbrev('DALANCE' , yU,4) |,
abbrev('DALENCE' , yU,4) then sn= "DALENCE"
when abbrev('DANELLE' , yU,3) |,
abbrev('DANEAL' , yU,3) |,
abbrev('DANIAL' , yU,3) |,
abbrev('DANIELE' , yU,3) |,
abbrev('DANNEL' , yU,3) |,
abbrev('DANYAL' , yU,3) |,
abbrev('DANYEL' , yU,3) |,
abbrev('DANIELL' , yU,3) then sn= "DANIELL"
when abbrev('DALTON' , yU,3) then sn= "DALTON"
when abbrev('DELAHIRE' , yU,7) |,
abbrev('LAHIRE' , yU,4) |,
abbrev('HIRE' , yU,2) |,
abbrev('DE-LA-HIRE' , yU,7) then sn= "DE LA HIRE"
when abbrev('DELAVILLE' , yU,7) |,
abbrev('LAVILLE' , yU,3) |,
abbrev('VILLE' , yU,1) |,
abbrev('VILLA' , yU,1) |,
abbrev('DE-LA-VILLE' , yU,7) then sn= "DE LA VILLE"
when abbrev('DELISLE' , yU,3) then sn= "DELISLE"
when abbrev('DELISLE-OLD' , yU,8) |,
abbrev('OLDDELISLE' , yU,6) |,
abbrev('DELISLEOLD' , yU,8) then sn= "DELISLE OLD"
when abbrev('DELUC' , yU,4) |,
abbrev('LUC' , yU,2) |,
abbrev('DE-LUC' , yU,5) then sn= "DE LUC"
when abbrev('DELYON' , yU,4) |,
abbrev('LYON' , yU,2) |,
abbrev('DE-LYON' , yU,5) then sn= "DE LYON"
when abbrev('DEREVILLA' , yU,3) |,
abbrev('DEREVILA' , yU,3) |,
abbrev('REVILLA' , yU,3) |,
abbrev('DE-REVILLA' , yU,4) |,
abbrev('DE-REVILLA' , yU,5) then sn= "DE REVILLAS"
when abbrev('DEVILLENEUVE' , yU,3) |,
abbrev('DE-VILLENEUVE' , yU,4) then sn= "DE VILLENEUVE"
when abbrev('DURHAM' , yU,3) |,
abbrev('DERHAM' , yU,4) then sn= "DERHAM"
when abbrev('OLDDURHAM' , yU,5) |,
abbrev('OLDDERHAM' , yU,6) |,
abbrev('DERHAM-OLD' , yU,4) |,
abbrev('DERHAMOLD' , yU,4) then sn= "DERHAM OLD"
when abbrev('DE-SUEDE' , yU,4) |,
abbrev('DESUEDE' , yU,4) then sn= "DE SUEDE"
when abbrev('DU-CREST' , yU,2) |,
abbrev('DUCREST' , yU,2) then sn= "DU CREST"
when abbrev('EDENBURGH' , yU,2) |,
abbrev('EDINBURGH' , yU,2) then sn= "EDINBURGH"
when abbrev('EVOLT' , yU,2) |,
abbrev('ELECTRONVOLT' , yU,2) then sn= "ELECTRON VOLTS"
when abbrev('FARENHEIT' , yU) |, /* 39% misspelled.*/
abbrev('FARENHEIGHT' , yU) |, /* 15% misspelled.*/
abbrev('FARENHITE' , yU) |, /* 6% misspelled.*/
abbrev('FARENHIET' , yU) |, /* 3% misspelled.*/
abbrev('FARHENHEIT' , yU) |, /* 3% misspelled.*/
abbrev('FARINHEIGHT' , yU) |, /* 2% misspelled.*/
abbrev('FARENHIGHT' , yU) |, /* 2% misspelled.*/
abbrev('FAHRENHIET' , yU) |, /* 2% misspelled.*/
abbrev('FERENHEIGHT' , yU) |, /* 2% misspelled.*/
abbrev('FEHRENHEIT' , yU) |, /* 2% misspelled.*/
abbrev('FERENHEIT' , yU) |, /* 2% misspelled.*/
abbrev('FERINHEIGHT' , yU) |, /* 1% misspelled.*/
abbrev('FARIENHEIT' , yU) |, /* 1% misspelled.*/
abbrev('FARINHEIT' , yU) |, /* 1% misspelled.*/
abbrev('FARANHITE' , yU) |, /* 1% misspelled.*/
abbrev('FAHRENHEIT' , yU) then sn= "FAHRENHEIT"
when abbrev('OLDFAHRENHEIT' , yU,4) |,
abbrev('FAHRENHEIT-OLD' , yU,13) |,
abbrev('FAHRENHEITOLD' , yU,13) then sn= "FARHENHEIT OLD"
when abbrev('FLORENTINE-LARGE' , yU,12) |,
abbrev('LARGE-FLORENTINE' , yU,7) |,
abbrev('LARGEFLORENTINE' , yU,6) |,
abbrev('FLORENTINELARGE' , yU,12) then sn= "FLORENTINE LARGE"
when abbrev('FLORENTINE-MAGNUM' , yU,2) |,
abbrev('MAGNUM-FLORENTINE' , yU,3) |,
abbrev('MAGNUMFLORENTINE' , yU,3) |,
abbrev('FLORENTINEMAGNUM' , yU,2) then sn= "FLORENTINE MAGNUM"
when abbrev('FLORENTINE-SMALL' , yU,13) |,
abbrev('SMALL-FLORENTINE' , yU,7) |,
abbrev('SMALLFLORENTINE' , yU,6) |,
abbrev('FLORENTINESMALL' , yU,13) then sn= "FLORENTINE SMALL"
when abbrev('FOULER' , yU,2) |,
abbrev('FOWLOR' , yU,2) |,
abbrev('FOWLER' , yU,2) then sn= "FOWLER"
when abbrev('FRICK' , yU,2) then sn= "FRICK"
when abbrev('GAS-MARK' , yU,2) |,
abbrev('GASMARK' , yU,2) then sn= "GAS MARK"
when abbrev('GOUBERT' , yU,2) then sn= "GOUBERT"
when abbrev('HAIL' , yU,3) |,
abbrev('HALE' , yU,3) then sn= "HALES"
when abbrev('HANOW' , yU,3) then sn= "HANOW"
when abbrev('HUCKSBEE' , yU,3) |,
abbrev('HAWKSBEE' , yU,3) |,
abbrev('HAUKSBEE' , yU,3) then sn= "HAUKSBEE"
when abbrev('JACOBSHOLBORN' , yU,2) |,
abbrev('JACOBS-HOLBORN' , yU,2) then sn= "JACOBS-HOLBORN"
when abbrev('KALVIN' , yU) |, /* 27% misspelled.*/
abbrev('KERLIN' , yU) |, /* 18% misspelled.*/
abbrev('KEVEN' , yU) |, /* 9% misspelled.*/
abbrev('KELVIN' , yU) then sn= "KELVIN"
when abbrev('LAYDEN' , yU) |,
abbrev('LEIDEN' , yU) then sn= "LEIDEN"
when abbrev('NEUTON' , yU) |, /*100% misspelled.*/
abbrev('NEWTON' , yU) then sn= "NEWTON"
when abbrev('ORTEL' , yU) |,
abbrev('OERTEL' , yU) then sn= "OERTEL"
when abbrev('PLACK' , yU) |, /*100% misspelled.*/
abbrev('PLANC' , yU) |, /* misspelled.*/
abbrev('PLANK' , yU) |, /* misspelled.*/
abbrev('PLANCK' , yU) then sn= "PLANCK"
when abbrev('RANKINE' , yU, 1) then sn= "RANKINE"
when abbrev('REAUMUR' , yU, 2) then sn= "REAUMUR"
when abbrev('RICKTER' , yU, 3) |,
abbrev('RICHTER' , yU, 3) then sn= "RICHTER"
when abbrev('RINALDINI' , yU, 3) then sn= "RINALDINI"
when abbrev('ROEMER' , yU, 3) |,
abbrev('ROMER' , yU, 3) then sn= "ROMER"
when abbrev('ROSANTHAL' , yU, 3) |,
abbrev('ROSENTHAL' , yU, 3) then sn= "ROSENTHAL"
when abbrev('RSOL' , yU, 2) |,
abbrev('RSL' , yU, 2) |,
abbrev('ROYALSOCIETYOFLONDON' , yU, 3) |,
abbrev('ROYAL-SOCIETY-OF-LONDON' , yU, 3) then sn= "ROYAL SOCIETY"
when abbrev('SAGREDO' , yU, 3) then sn= "SAGREDO"
when abbrev('ST.-PATRICE' , yU, 3) |,
abbrev('ST.PATRICE' , yU, 3) |,
abbrev('SAINTPATRICE' , yU, 3) |,
abbrev('SAINT-PATRICE' , yU, 3) then sn= "SAINT-PATRICE"
when abbrev('STUFFE' , yU, 3) |,
abbrev('STUFE' , yU, 3) then sn= "STUFE"
when abbrev('SULTZER' , yU, 2) |,
abbrev('SULZER' , yU, 2) then sn= "SULZER"
when abbrev('WEDGEWOOD' , yU) |,
abbrev('WEDGWOOD' , yU) then sn= "WEDGWOOD"
otherwise call serr 'illegal temperature scale:' y
end /*select*/
return
/*──────────────────────────────────────────────────────────────────────────────────────*/
?: parse arg y 1 yu
upper yu
if not\== then do
if noS\=="" then if left(yu, noL)==noS then return 0
if noE\== then if right(yu, noL)==noE then return 0
end
if all | y==! then return 1
return 0
/*──────────────────────────────────────────────────────────────────────────────────────*/
commas: procedure; parse arg _ /*insert commas in a number. */
n= _'.9' /*added suffix for VERIFY BIF.*/
#= 123456789 /*a nifty handy-dandy literal.*/
b= verify(n, #, "M") /*find beginning of a number. */
e= verify(n, #'0', , verify(n, #"0.", 'M') ) - 4 /* " end " " " */
do j=e to b by -3 /*insert commas right─to─left.*/
_= insert(",", _, j) /*insert a comma every period.*/
end /*j*/
return _
/*──────────────────────────────────────────────────────────────────────────────────────*/
sqrt: procedure; parse arg x /*obtain the target of SQRT. */
if x=0 then return 0 /*Argument is zero? Return 0.*/
/*This function work for zero.*/
d= digits() /*get # of dec. digs, current.*/
m.= 9 /*set " " " " at start.*/
h= d+6 /*add 6 for rounding concerns.*/
numeric form /*right form of exponentiation*/
numeric digits /*start with nine numeric digs*/
/*a way of getting the expon. */
/*No exponent? Then add one. */
parse value format(x, 2, 1, , 0) 'E0' with g "E" _ .
/* [↓] halve the exponent. */
g=g * .5'e'_ % 2 /*a first best guess for sqrt,*/
/*which is 1/2 of the exponent*/
/* [↓] use min number of dec.*/
/* digs for early SQRTs. */
do j=0 while h>9
m.j= h /*calculate # of digits to use*/
h= h % 2 + 1 /*halving the exponent means */
end /*j*/ /* that it'll be doubled as */
/* the M. array will be */
/* processed backwards. [↓] */
do k=j+5 to 0 by -1 /*calculate higher precision. */
numeric digits m.k /*bump the decimal digits. */
g= (g + x / g) * .5 /*calculate SQRT approximation*/
end /*k*/
return g / 1 /*this normalizes the sqrt #. */
/*──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────*/
?: parse arg y; if not\== then do; if noS\=="" then if left(y, noL)==noS then return 0; if noE\== then if right(y, noL)==noE then return 0; end; if all | y==! then return 1; return 0
e: e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427427466391932; return e /*112 useful decimal digits. */
isInt: return datatype(arg(1), 'W') /*is the argument a whole number (integer)? */
exp: procedure; parse arg x; ix=x%1; if abs(x-ix)>.5 then ix=ix+sign(x); x=x-ix; z=1; _=1; w=z; do j=1; _=_*x/j; z=(z+_)/1; if z==w then leave; w=z; end; if z\==0 then z= z * e()**ix; return z/1
ln: procedure; parse arg x; call e; ig=x>1.5; is=1-2*(ig\==1); ii=0; xx=x; return ln..()
ln..: do while ig & xx>1.5 | \ig & xx<.5;_=e;do k=-1;iz=xx*_**-is;if k>=0 & (ig & iz<1 | \ig & iz>.5) then leave;_=_*_;izz=iz;end;xx=izz; ii=ii+is*2**k; end; x=x*e**-ii-1; z=0;_=-1;p=z;do k=1; _=-_*x;z=z+_/k; if z=p then leave;p=z; end; return z+ii
pow: procedure; parse arg x,y; if y=0 then return 1; if x=0 then return 0; if isInt(y) then return x**y; if isInt(1/y) then return root(x,1/y,f); return pow.()
pow.: if abs(y//1)=.5 then return sqrt(x)**sign(y)*x**(y%1); return exp(y*ln(x))
root: procedure; parse arg x 1 ox,y 1 oy; if x=0 | y=1 then return x; if isInt(y) then return rooti(x,y); _=sqrt(x); if y<0 then _=1/_; return _
rooti: x=abs(x); y=abs(y); a= digits() + 5; g=rootIg(); m= y-1; d=5; do until d==a; d=min(d+d, a); numeric digits d; o=0; do until o=g; o=g; g=format( (m*g**y+x) /y/g**m, , d-2); end; end; _= g * sign(ox); if oy<0 then _= 1/_; return _
rootIg: numeric form;parse value format(x,2,1,,0) 'E0' with ? 'E' _ .; return (? / y'E'_ % y) + (x>1)
s: if arg(1)==1 then return arg(3); return word(arg(2) 's',1) /*pluralizer.*/
serr: say; say '***error***'; say; say arg(1); say; exit 13
</lang>