(Perl Data Language) aims to turn perl into an efficient numerical language for scientific computing (similar to IDL and MatLab).
| EXPINT.pm (PDL-2.081) | : | EXPINT.pm (PDL-2.082) |
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| skipping to change at line 37 | | skipping to change at line 37 |
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| This is an interface to the Special Function package present in the GNU Scientif
ic Library. | | This is an interface to the Special Function package present in the GNU Scientif
ic Library. |
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| =cut | | =cut |
| #line 39 "EXPINT.pm" | | #line 39 "EXPINT.pm" |
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| =head1 FUNCTIONS | | =head1 FUNCTIONS |
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| =cut | | =cut |
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|
| #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 958 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_expint_E1 | | =head2 gsl_sf_expint_E1 |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e()) | | Signature: (double x(); double [o]y(); double [o]e()) |
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| =for ref | | =for ref |
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| E_1(x) := Re[ Integrate[ Exp[-xt]/t, {t,1,Infinity}] ] | | E_1(x) := Re[ Integrate[ Exp[-xt]/t, {t,1,Infinity}] ] |
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| =for bad | | =for bad |
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| gsl_sf_expint_E1 does not process bad values. | | gsl_sf_expint_E1 does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 74 "EXPINT.pm" | | #line 74 "EXPINT.pm" |
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| #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_expint_E1 = \&PDL::gsl_sf_expint_E1; | | *gsl_sf_expint_E1 = \&PDL::gsl_sf_expint_E1; |
| #line 81 "EXPINT.pm" | | #line 81 "EXPINT.pm" |
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|
| #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 958 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_expint_E2 | | =head2 gsl_sf_expint_E2 |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e()) | | Signature: (double x(); double [o]y(); double [o]e()) |
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| =for ref | | =for ref |
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| E_2(x) := Re[ Integrate[ Exp[-xt]/t^2, {t,1,Infity}] ] | | E_2(x) := Re[ Integrate[ Exp[-xt]/t^2, {t,1,Infity}] ] |
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| =for bad | | =for bad |
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| gsl_sf_expint_E2 does not process bad values. | | gsl_sf_expint_E2 does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 106 "EXPINT.pm" | | #line 106 "EXPINT.pm" |
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|
| #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_expint_E2 = \&PDL::gsl_sf_expint_E2; | | *gsl_sf_expint_E2 = \&PDL::gsl_sf_expint_E2; |
| #line 113 "EXPINT.pm" | | #line 113 "EXPINT.pm" |
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|
| #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 958 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_expint_Ei | | =head2 gsl_sf_expint_Ei |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e()) | | Signature: (double x(); double [o]y(); double [o]e()) |
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| =for ref | | =for ref |
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| Ei(x) := PV Integrate[ Exp[-t]/t, {t,-x,Infinity}] | | Ei(x) := PV Integrate[ Exp[-t]/t, {t,-x,Infinity}] |
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| =for bad | | =for bad |
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| gsl_sf_expint_Ei does not process bad values. | | gsl_sf_expint_Ei does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 138 "EXPINT.pm" | | #line 138 "EXPINT.pm" |
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| #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_expint_Ei = \&PDL::gsl_sf_expint_Ei; | | *gsl_sf_expint_Ei = \&PDL::gsl_sf_expint_Ei; |
| #line 145 "EXPINT.pm" | | #line 145 "EXPINT.pm" |
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| #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 958 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_Shi | | =head2 gsl_sf_Shi |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e()) | | Signature: (double x(); double [o]y(); double [o]e()) |
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| =for ref | | =for ref |
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| Shi(x) := Integrate[ Sinh[t]/t, {t,0,x}] | | Shi(x) := Integrate[ Sinh[t]/t, {t,0,x}] |
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| =for bad | | =for bad |
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| gsl_sf_Shi does not process bad values. | | gsl_sf_Shi does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 170 "EXPINT.pm" | | #line 170 "EXPINT.pm" |
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| #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_Shi = \&PDL::gsl_sf_Shi; | | *gsl_sf_Shi = \&PDL::gsl_sf_Shi; |
| #line 177 "EXPINT.pm" | | #line 177 "EXPINT.pm" |
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| #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 958 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_Chi | | =head2 gsl_sf_Chi |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e()) | | Signature: (double x(); double [o]y(); double [o]e()) |
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| =for ref | | =for ref |
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| Chi(x) := Re[ M_EULER + log(x) + Integrate[(Cosh[t]-1)/t, {t,0,x}] ] | | Chi(x) := Re[ M_EULER + log(x) + Integrate[(Cosh[t]-1)/t, {t,0,x}] ] |
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| =for bad | | =for bad |
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| gsl_sf_Chi does not process bad values. | | gsl_sf_Chi does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 202 "EXPINT.pm" | | #line 202 "EXPINT.pm" |
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| #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_Chi = \&PDL::gsl_sf_Chi; | | *gsl_sf_Chi = \&PDL::gsl_sf_Chi; |
| #line 209 "EXPINT.pm" | | #line 209 "EXPINT.pm" |
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|
| #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 958 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_expint_3 | | =head2 gsl_sf_expint_3 |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e()) | | Signature: (double x(); double [o]y(); double [o]e()) |
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| =for ref | | =for ref |
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| Ei_3(x) := Integral[ Exp[-t^3], {t,0,x}] | | Ei_3(x) := Integral[ Exp[-t^3], {t,0,x}] |
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| =for bad | | =for bad |
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| gsl_sf_expint_3 does not process bad values. | | gsl_sf_expint_3 does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 234 "EXPINT.pm" | | #line 234 "EXPINT.pm" |
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|
| #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_expint_3 = \&PDL::gsl_sf_expint_3; | | *gsl_sf_expint_3 = \&PDL::gsl_sf_expint_3; |
| #line 241 "EXPINT.pm" | | #line 241 "EXPINT.pm" |
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|
| #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 958 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_Si | | =head2 gsl_sf_Si |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e()) | | Signature: (double x(); double [o]y(); double [o]e()) |
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| =for ref | | =for ref |
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| Si(x) := Integrate[ Sin[t]/t, {t,0,x}] | | Si(x) := Integrate[ Sin[t]/t, {t,0,x}] |
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| =for bad | | =for bad |
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| gsl_sf_Si does not process bad values. | | gsl_sf_Si does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 266 "EXPINT.pm" | | #line 266 "EXPINT.pm" |
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|
| #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_Si = \&PDL::gsl_sf_Si; | | *gsl_sf_Si = \&PDL::gsl_sf_Si; |
| #line 273 "EXPINT.pm" | | #line 273 "EXPINT.pm" |
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| #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 958 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_Ci | | =head2 gsl_sf_Ci |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e()) | | Signature: (double x(); double [o]y(); double [o]e()) |
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| =for ref | | =for ref |
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| Ci(x) := -Integrate[ Cos[t]/t, {t,x,Infinity}] | | Ci(x) := -Integrate[ Cos[t]/t, {t,x,Infinity}] |
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| =for bad | | =for bad |
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| gsl_sf_Ci does not process bad values. | | gsl_sf_Ci does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 298 "EXPINT.pm" | | #line 298 "EXPINT.pm" |
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|
| #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_Ci = \&PDL::gsl_sf_Ci; | | *gsl_sf_Ci = \&PDL::gsl_sf_Ci; |
| #line 305 "EXPINT.pm" | | #line 305 "EXPINT.pm" |
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|
| #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 958 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_atanint | | =head2 gsl_sf_atanint |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e()) | | Signature: (double x(); double [o]y(); double [o]e()) |
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| =for ref | | =for ref |
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| AtanInt(x) := Integral[ Arctan[t]/t, {t,0,x}] | | AtanInt(x) := Integral[ Arctan[t]/t, {t,0,x}] |
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| =for bad | | =for bad |
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| gsl_sf_atanint does not process bad values. | | gsl_sf_atanint does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
| | |
| =cut | | =cut |
| #line 330 "EXPINT.pm" | | #line 330 "EXPINT.pm" |
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|
| #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" | | #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_atanint = \&PDL::gsl_sf_atanint; | | *gsl_sf_atanint = \&PDL::gsl_sf_atanint; |
| #line 337 "EXPINT.pm" | | #line 337 "EXPINT.pm" |
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| #line 138 "gsl_sf_expint.pd" | | #line 138 "gsl_sf_expint.pd" |
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| =head1 AUTHOR | | =head1 AUTHOR |
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| This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it> | | This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it> |
| All rights reserved. There | | All rights reserved. There |
| | | |
| End of changes. 18 change blocks. |
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| 18 lines changed or deleted | | 18 lines changed or added |
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"Fossies" - the Fresh Open Source Software Archive 