matho-sumsq(1) [debian man page]

MATHO-SUMSQ(1)						       Mathomatic Utilities						    MATHO-SUMSQ(1)

NAME

       matho-sumsq - Find the minimum sum of the squares for integers

SYNOPSIS

       matho-sumsq [numbers]

DESCRIPTION

       This  command-line  utility  is	optionally  part of the mathomatic(1) package.	It finds the minimum number of positive integers that when
       squared and added together, equal the given number.  There is a proof that no more than 4 squares summed together are required to represent
       any positive integer.

       The  command-line  may contain positive integers to find the minimum squares of, they must be less than 2147483648 (2^31) on 32-bit systems
       or less than 9223372036854775808 (2^63) on 64-bit systems.  If "+" is appended to the given number, the program counts up  from	the  given
       number.	If the minimum number of squares is 2, this program displays all possible combinations with 2 squares for the given number, other-
       wise it just displays the first combination it finds.

       If no command-line arguments are given, the programs reads the numbers from standard input.

AUTHOR

       George Gesslein II (gesslein@mathomatic.org) at "http://www.mathomatic.org".

REPORTING BUGS

       If you find a bug, please report it to the author or at "https://launchpad.net/mathomatic".

SEE ALSO

       mathomatic(1), matho-pascal(1), matho-primes(1)

Mathomatic															    MATHO-SUMSQ(1)

slassq.f(3)							      LAPACK							       slassq.f(3)

NAME

       slassq.f -

SYNOPSIS

   Functions/Subroutines
       subroutine slassq (N, X, INCX, SCALE, SUMSQ)
	   SLASSQ updates a sum of squares represented in scaled form.

Function/Subroutine Documentation
   subroutine slassq (integerN, real, dimension( * )X, integerINCX, realSCALE, realSUMSQ)
       SLASSQ updates a sum of squares represented in scaled form.

       Purpose:

	    SLASSQ  returns the values	scl  and  smsq	such that

	       ( scl**2 )*smsq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq,

	    where  x( i ) = X( 1 + ( i - 1 )*INCX ). The value of  sumsq  is
	    assumed to be non-negative and  scl  returns the value

	       scl = max( scale, abs( x( i ) ) ).

	    scale and sumsq must be supplied in SCALE and SUMSQ and
	    scl and smsq are overwritten on SCALE and SUMSQ respectively.

	    The routine makes only one pass through the vector x.

       Parameters:
	   N

		     N is INTEGER
		     The number of elements to be used from the vector X.

	   X

		     X is REAL array, dimension (N)
		     The vector for which a scaled sum of squares is computed.
			x( i )	= X( 1 + ( i - 1 )*INCX ), 1 <= i <= n.

	   INCX

		     INCX is INTEGER
		     The increment between successive values of the vector X.
		     INCX > 0.

	   SCALE

		     SCALE is REAL
		     On entry, the value  scale  in the equation above.
		     On exit, SCALE is overwritten with  scl , the scaling factor
		     for the sum of squares.

	   SUMSQ

		     SUMSQ is REAL
		     On entry, the value  sumsq  in the equation above.
		     On exit, SUMSQ is overwritten with  smsq , the basic sum of
		     squares from which  scl  has been factored out.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 104 of file slassq.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       slassq.f(3)