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Inline-Loops for Efficient Array or String Operations


Left-hand indexes $, $R, $C and right hand inline-loop index $1 can additionally control file sections, binomials, matrix products, concatenations, etc.

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FromTo operations ":" operation( left_integer : right_integer )
+ (3 : 5) 3 + 4 + 5 = 12
= * (5 : 1) 5 * 4 * 3 * 2 * 1 = 5! = 120
sum = +(2^(0:-10)) 1+1/2+1/4+ .. 1/1024 == 1.9990234375
p = +( LOG(100:1)) 363.739375555564 == log(100) + log(99) + ... log(1)
q = LOG(*(100:1)) 363.739375555563 == log( 100 * 99 * ... 1 )
x = +(1.6 : 2.4) x is 2 == NINT(1.6) == NINT(2.4)
M = +( 1 : $ )
1 3 6 10 15 21 28 36 45
= *(n:1) / (*(k:1)) / (*(n-k:1)) n! / ( k! * (n-k)! ), same as:
binomial_coeff = *(n:n-k+1) / (*(k:1))
x = *(49:1) / (*(6:1)) / (*(49-6:1)) 6 from 49 = 13983816
y = *(49:49-6+1) / (*(6:1)) 49 choose 6 = 13983816
Arrays REAL X(3), Y(3), M(3,3), X8(8) ! samples
Y = (1,2,3) ^ (4,5,6) 1 32 729 temporary vector
d = /(Y) = Y(1) / Y(2) / Y(3)
Y = Y(3:1) reverse a vector
M = 1 / $ M is (1, 1/2, 1/3, ..., 1/9)
1 0.5 0.3333333
0.25 0.2 0.1666667
0.1428571 0.125 0.1111111
M = M( 3:1, 3:1) reverse row and column order
M = 1 / ( $R + $C - 1) !
1 0.5 0.3333
0.5 0.3333 0.25
0.3333 0.25 0.2
= +( M( $1, $1) ) sum of matrix M diagonal elements
k = +( M >= 1/2 ) count matrix elements >= 0.5
l = +( M( 2 , : ) > 1/2 ) count row(2) elements > 0.5
n = +( M( : , 2 ) ) sum along column 2
o = +( M( : , 2:3) ) sum along columns 2 and 3
Z = +(M( $C, $1) * Y( $1))
max = MAX( 4, -3.1, 4+4.1 ) 8.1
max_location = MAXLOC( 4, -3.1, 4+4.1 ) 3
X8 = *( 8 : 8- $+1 ) / ( *( $:1) ) 8 28 56 70 56 28 8 1
8th row of Pascals triangle

1st coeff ( 0! == 1) would provoke error
+( X8 ) + 1 256 == 2 ^ 8 sum of 8th row
CHARACTER S10*10 ! sample string
S10 = CHAR( $ + 64) ABCDEFGHIJ
( "A" has the Ascii number 65)
S10 = &( CHAR(64+ $1) & "," ) A, B, C, D
("&" is the Join operator)
S10 = CHAR(64+ RAN(26)+0* $ ) SQYWTYQHFG
( 0* $ forces the inline loop to execute LEN(S10) = 10 times)
  • CHARACTER filename= 'TEST.TXT'
For files $1 is the row number
op( filename( from : to )
see MatrixExplorer
OPEN(FIle=filename, F=";/;/N;/") 3 columns separated by semicolons.
3rd column is Numerical
string = && (filename( $1, 2)) string gets all elements in column 2
separated by 1 space
string = & (filename( $1,2)&$CRLF) elements in column 2 separated by carriagereturn & linefeed
column-sum = + (filename( $1,3)) all elements in column 3 added



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