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[bug #59710] Undefined behavior error in Nonlinear Least-Squares Fitting
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From: |
Patrick Alken |
|
Subject: |
[bug #59710] Undefined behavior error in Nonlinear Least-Squares Fitting |
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Date: |
Thu, 17 Dec 2020 11:17:57 -0500 (EST) |
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User-agent: |
Mozilla/5.0 (X11; Ubuntu; Linux x86_64; rv:84.0) Gecko/20100101 Firefox/84.0 |
URL:
<https://savannah.gnu.org/bugs/?59710>
Summary: Undefined behavior error in Nonlinear Least-Squares
Fitting
Project: GNU Scientific Library
Submitted by: psa
Submitted on: Thu 17 Dec 2020 04:17:55 PM UTC
Category: None
Severity: 3 - Normal
Operating System:
Status: None
Assigned to: None
Open/Closed: Open
Release:
Discussion Lock: Any
_______________________________________________________
Details:
from zhoulai =dot= fu =at= gmail =dot= com
Running the attached program nlfit_bug.c triggers undefined behavior,
calculating unreasonable
results. The program "nlfit_debug.c" is adapted from the example program
provided
by GSL's doc/examples/nlfit.c. Their difference lies in only one parameter
40.0
versus 60.0:
1d0
<
12c11,12
< #define TMAX (60.0) /* time variable in [0,TMAX] */ //40.0 instead of
60.0 in nlfit.c
---
> //#define TMAX (40.0) /* time variable in [0,TMAX] */
> #define TMAX (60.0) /* time variable in [0,TMAX] */
The undefined behavior can be better visualized if GCC's Undefined
Behavior Sanitizer is enabled (-fsanitize=undefined). Below is the
execution results:
data: 59.3939 1.03153 0.101317
data: 60 1.14181 0.101239
iter 0: A = 1.0000, lambda = 1.0000, b = 0.0000, cond(J) = inf,
|f(x)| = 101.0200
iter 1: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = 92.8216,
|f(x)| = -nan
iter 2: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 3: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 4: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
*nielsen.c:98:7: runtime error: left shift of 4611686018427387904 by 1
places cannot be represented in type 'long int'*iter 5: A = 3.5110, lambda
= -12.8820, b = 1.2364, cond(J) = nan, |f(x)| = -nan
iter 6: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 7: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 8: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 9: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 10: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 11: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 12: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 13: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 14: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 15: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 16: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 17: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 18: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 19: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 20: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 21: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 22: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 23: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 24: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 25: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 26: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 27: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 28: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 29: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 30: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 31: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 32: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 33: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 34: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 35: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 36: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 37: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 38: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 39: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 40: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 41: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 42: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 43: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 44: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 45: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 46: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 47: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 48: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 49: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 50: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 51: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 52: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 53: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 54: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 55: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 56: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 57: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 58: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 59: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 60: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 61: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 62: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 63: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 64: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 65: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 66: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 67: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 68: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 69: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 70: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 71: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 72: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 73: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 74: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 75: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 76: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 77: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 78: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 79: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 80: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 81: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 82: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 83: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 84: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 85: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 86: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 87: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 88: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 89: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 90: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 91: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 92: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 93: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 94: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 95: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 96: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 97: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 98: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 99: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
iter 100: A = 3.5110, lambda = -12.8820, b = 1.2364, cond(J) = nan,
|f(x)| = -nan
summary from method 'trust-region/levenberg-marquardt'
number of iterations: 100
function evaluations: 1586
Jacobian evaluations: 2
reason for stopping: small gradient
initial |f(x)| = 101.020000
final |f(x)| = inf
chisq/dof = inf
A = 3.51103 ± nan
lambda = -12.88201 ± nan
b = 1.23642 ± nan
status = exceeded max number of iterations
Preliminary debugging: The undefined behavior occurs in
multifit_nlinear/nielsen.c, line 98, triggered by overflow of a left shift
of a long int.
*nu <<= 1;
BR,
Zhoulai
_______________________________________________________
File Attachments:
-------------------------------------------------------
Date: Thu 17 Dec 2020 04:17:55 PM UTC Name: nlfit_bug.c Size: 5KiB By: psa
<http://savannah.gnu.org/bugs/download.php?file_id=50503>
_______________________________________________________
Reply to this item at:
<https://savannah.gnu.org/bugs/?59710>
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- [bug #59710] Undefined behavior error in Nonlinear Least-Squares Fitting,
Patrick Alken <=