diff options
author | Joe Hunkeler <jhunkeler@gmail.com> | 2015-08-11 16:51:37 -0400 |
---|---|---|
committer | Joe Hunkeler <jhunkeler@gmail.com> | 2015-08-11 16:51:37 -0400 |
commit | 40e5a5811c6ffce9b0974e93cdd927cbcf60c157 (patch) | |
tree | 4464880c571602d54f6ae114729bf62a89518057 /math/minpack/enorm.f | |
download | iraf-osx-40e5a5811c6ffce9b0974e93cdd927cbcf60c157.tar.gz |
Repatch (from linux) of OSX IRAF
Diffstat (limited to 'math/minpack/enorm.f')
-rw-r--r-- | math/minpack/enorm.f | 108 |
1 files changed, 108 insertions, 0 deletions
diff --git a/math/minpack/enorm.f b/math/minpack/enorm.f new file mode 100644 index 00000000..2cb5b607 --- /dev/null +++ b/math/minpack/enorm.f @@ -0,0 +1,108 @@ + double precision function enorm(n,x) + integer n + double precision x(n) +c ********** +c +c function enorm +c +c given an n-vector x, this function calculates the +c euclidean norm of x. +c +c the euclidean norm is computed by accumulating the sum of +c squares in three different sums. the sums of squares for the +c small and large components are scaled so that no overflows +c occur. non-destructive underflows are permitted. underflows +c and overflows do not occur in the computation of the unscaled +c sum of squares for the intermediate components. +c the definitions of small, intermediate and large components +c depend on two constants, rdwarf and rgiant. the main +c restrictions on these constants are that rdwarf**2 not +c underflow and rgiant**2 not overflow. the constants +c given here are suitable for every known computer. +c +c the function statement is +c +c double precision function enorm(n,x) +c +c where +c +c n is a positive integer input variable. +c +c x is an input array of length n. +c +c subprograms called +c +c fortran-supplied ... dabs,dsqrt +c +c argonne national laboratory. minpack project. march 1980. +c burton s. garbow, kenneth e. hillstrom, jorge j. more +c +c ********** + integer i + double precision agiant,floatn,one,rdwarf,rgiant,s1,s2,s3,xabs, + * x1max,x3max,zero + data one,zero,rdwarf,rgiant /1.0d0,0.0d0,3.834d-20,1.304d19/ + s1 = zero + s2 = zero + s3 = zero + x1max = zero + x3max = zero + floatn = n + agiant = rgiant/floatn + do 90 i = 1, n + xabs = dabs(x(i)) + if (xabs .gt. rdwarf .and. xabs .lt. agiant) go to 70 + if (xabs .le. rdwarf) go to 30 +c +c sum for large components. +c + if (xabs .le. x1max) go to 10 + s1 = one + s1*(x1max/xabs)**2 + x1max = xabs + go to 20 + 10 continue + s1 = s1 + (xabs/x1max)**2 + 20 continue + go to 60 + 30 continue +c +c sum for small components. +c + if (xabs .le. x3max) go to 40 + s3 = one + s3*(x3max/xabs)**2 + x3max = xabs + go to 50 + 40 continue + if (xabs .ne. zero) s3 = s3 + (xabs/x3max)**2 + 50 continue + 60 continue + go to 80 + 70 continue +c +c sum for intermediate components. +c + s2 = s2 + xabs**2 + 80 continue + 90 continue +c +c calculation of norm. +c + if (s1 .eq. zero) go to 100 + enorm = x1max*dsqrt(s1+(s2/x1max)/x1max) + go to 130 + 100 continue + if (s2 .eq. zero) go to 110 + if (s2 .ge. x3max) + * enorm = dsqrt(s2*(one+(x3max/s2)*(x3max*s3))) + if (s2 .lt. x3max) + * enorm = dsqrt(x3max*((s2/x3max)+(x3max*s3))) + go to 120 + 110 continue + enorm = x3max*dsqrt(s3) + 120 continue + 130 continue + return +c +c last card of function enorm. +c + end |