Package: emacs;
Reported by: Ting Boon Ghee <tingbg <at> gmail.com>
Date: Tue, 10 Dec 2024 05:11:02 UTC
Severity: normal
Found in version 29.4
View this message in rfc822 format
From: Ting Boon Ghee <tingbg <at> gmail.com> To: 74760 <at> debbugs.gnu.org Subject: bug#74760: 29.4; Calc : calcFunc-rate does not produce negative results Date: Tue, 10 Dec 2024 00:44:04 +0800
In GNU Emacs 29.4 (build 2, x86_64-pc-linux-gnu, GTK+ Version 3.24.42,
cairo version 1.18.0) of 2024-06-30, modified by Debian built on
sbuild
System Description: Debian GNU/Linux trixie/sid
Configured using:
'configure --build x86_64-linux-gnu --prefix=/usr
--sharedstatedir=/var/lib --libexecdir=/usr/libexec
--localstatedir=/var/lib --infodir=/usr/share/info
--mandir=/usr/share/man --with-libsystemd --with-pop=yes
--enable-locallisppath=/etc/emacs:/usr/local/share/emacs/29.4/site-lisp:/usr/local/share/emacs/site-lisp:/usr/share/emacs/29.4/site-lisp:/usr/share/emacs/site-lisp
--with-sound=alsa --without-gconf --with-mailutils
--with-native-compilation --build x86_64-linux-gnu --prefix=/usr
--sharedstatedir=/var/lib --libexecdir=/usr/libexec
--localstatedir=/var/lib --infodir=/usr/share/info
--mandir=/usr/share/man --with-libsystemd --with-pop=yes
--enable-locallisppath=/etc/emacs:/usr/local/share/emacs/29.4/site-lisp:/usr/local/share/emacs/site-lisp:/usr/share/emacs/29.4/site-lisp:/usr/share/emacs/site-lisp
--with-sound=alsa --without-gconf --with-mailutils
--with-native-compilation --with-pgtk 'CFLAGS=-g -O2
-Werror=implicit-function-declaration
-ffile-prefix-map=/build/reproducible-path/emacs-29.4+1=. -fstack-protector-strong
-fstack-clash-protection -Wformat -Werror=format-security
-fcf-protection -Wall' 'CPPFLAGS=-Wdate-time -D_FORTIFY_SOURCE=2'
LDFLAGS=-Wl,-z,relro'
Configured features:
ACL CAIRO DBUS FREETYPE GIF GLIB GMP GNUTLS GPM GSETTINGS HARFBUZZ
JPEG JSON LCMS2 LIBOTF LIBSELINUX LIBSYSTEMD LIBXML2 MODULES
NATIVE_COMP NOTIFY INOTIFY PDUMPER PGTK PNG RSVG SECCOMP SOUND SQLITE3
THREADS TIFF TOOLKIT_SCROLL_BARS TREE_SITTER WEBP XIM GTK3 ZLIB
Important settings:
value of $LANG: en_SG.UTF-8
locale-coding-system: utf-8-unix
Major mode: Messages
Minor modes in effect:
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magit-auto-revert-mode: t
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file-name-shadow-mode: t
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blink-cursor-mode: t
buffer-read-only: t
column-number-mode: t
line-number-mode: t
indent-tabs-mode: t
transient-mark-mode: t
auto-composition-mode: t
auto-encryption-mode: t
auto-compression-mode: t
Load-path shadows:
/home/boonghee/.emacs.d/elpa/transient-20241208.2227/transient hides /usr/share/emacs/29.4/lisp/transient
Features:
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custom widget keymap hashtable-print-readable backquote threads
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font-render-setting cairo gtk pgtk lcms2 multi-tty
make-network-process native-compile emacs)
Memory information:
((conses 16 5237599 667173)
(symbols 48 71711 58)
(strings 32 1424037 55655)
(string-bytes 1 170514731)
(vectors 16 413925)
(vector-slots 8 5868547 880391)
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Using Calc to compute the rate of return on an investment, negative returns will result in error.
;; Extract from manual on the description of this function
8.6.4 Related Financial Functions
---------------------------------
The ‘b T’ (‘calc-fin-rate’) [‘rate’] command computes the rate of return on an investment. This is also an inverse of ‘pv’: ‘rate(N, PAYMENT, AMOUNT)’ computes the value of RATE such that ‘pv(RATE, N, PAYMENT) = AMOUNT’. The result is expressed as a formula like ‘6.3%’.
;; Example of positive return working correctly
;; Calculations for N=1, Payment=110 Amount=100
;; Answer is 10% as expected
;; Using the calculator
M-x calc <RET> 1 <RET> 110 <RET> 100 <RET> b T
Answer is 10%
;; Evaluating the original function from calc-fin.el
(calcFunc-rate 1 110 100)
Answer : (float 1 -1)
;; Negative returns result in error
;; Calculations for N=1, Payment=90 Amount=100
;; Answer should be -10%
;; Using the calculator
M-x calc <RET> 1 <RET> 90 <RET> 100 <RET> b T
Result : rate(1, 90, 100)
Pressing '=' in the calculator subsequently gives the following message
Working... widen = (-1.59974 .. 199261559.20347)
Unable to bracket root: (-1.599740 .. 199261559.203470)
;; Evaluating the original function from calc-fin.el
(calcFunc-rate 1 90 100)
Evaluating the function produces this Backtrace message
Debugger entered--Lisp error: (wrong-type-argument "*Unable to bracket root" (intv 0 (float -159974 -5) (float 19926155920347 -5)))
math-reject-arg((intv 0 (float -159974 -5) (float 19926155920347 -5)) "*Unable to bracket root")
math-search-root((- (calcFunc-pv (var DUMMY var-DUMMY) 1 90 0) 100) (+ (/ 90 (* (var DUMMY var-DUMMY) (^ (+ (var DUMMY var-DUMMY) 1) 2))) (/ (- (/ 90 (+ (var DUMMY var-DUMMY) 1)) 90) (^ (var DUMMY var-DUMMY) 2))) (float 1 -4) (float -1000899910009 -11) (float 1 0) (float -55 0))
math-newton-search-root((- (calcFunc-pv (var DUMMY var-DUMMY) 1 90 0) 100) (+ (/ 90 (* (var DUMMY var-DUMMY) (^ (+ (var DUMMY var-DUMMY) 1) 2))) (/ (- (/ 90 (+ (var DUMMY var-DUMMY) 1)) 90) (^ (var DUMMY var-DUMMY) 2))) nil nil nil nil (float 1 -4) (float -1000899910009 -11) (float 1 0) (float -55 0))
math-find-root((calcFunc-eq (calcFunc-pv (var DUMMY var-DUMMY) 1 90 0) 100) (var DUMMY var-DUMMY) (intv 3 (float 1 -4) 1) t)
math-compute-rate(1 90 100 nil calcFunc-pv)
calcFunc-rate(1 90 100)
elisp--eval-last-sexp(nil)
eval-last-sexp(nil)
funcall-interactively(eval-last-sexp nil)
command-execute(eval-last-sexp)
;; Original definition of calcFunc-rate and math-compute-rate copied from calc-fin.el as follows
(defun calcFunc-rate (num pmt amount &optional lump)
(math-compute-rate num pmt amount lump 'calcFunc-pv))
(defun math-compute-rate (num pmt amount lump func)
(or (math-objectp num)
(math-reject-arg num 'numberp))
(or (math-objectp pmt)
(math-reject-arg pmt 'numberp))
(or (math-objectp amount)
(math-reject-arg amount 'numberp))
(or (null lump)
(math-objectp lump)
(math-reject-arg lump 'numberp))
(let ((root (math-find-root (list 'calcFunc-eq
(list func
'(var DUMMY var-DUMMY)
num
pmt
(or lump 0))
amount)
'(var DUMMY var-DUMMY)
'(intv 3 (float 1 -4) 1)
t)))
(if (math-vectorp root)
(nth 1 root)
root)))
;; My modified function definitions
(defmath my/rate (num pmt amount &optional lump)
(my/compute-rate num pmt amount lump 'calcFunc-pv))
(defmath my/compute-rate (num pmt amount lump func)
(or (math-objectp num)
(math-reject-arg num 'numberp))
(or (math-objectp pmt)
(math-reject-arg pmt 'numberp))
(or (math-objectp amount)
(math-reject-arg amount 'numberp))
(or (null lump)
(math-objectp lump)
(math-reject-arg lump 'numberp))
(let ((root (math-find-root (list 'calcFunc-eq
(list func
'(var DUMMY var-DUMMY)
num
pmt
(or lump 0))
amount)
'(var DUMMY var-DUMMY)
'(intv 3 -1 1)
t)))
(if (math-vectorp root)
(nth 1 root)
root)))
By changing the interval from '(intv 3 (float 1 -4) 1) to '(intv 3 -1 1), the correct answer of -10% for above example can be computed.
;; Evaluating my modified function
(calcFunc-my/rate 1 90 100)
Answer : (float -1 -1)
That is -10% as expected.
I am not sure if this is a bug or due to some restrictions or constrains elsewhere that the interval cannot be negative in the original function definition of math-compute-rate. Other than Rate, IRR function is also facing the same issue as the interval for math-compute-irr is also set as '(intv 3 (float 1 -4) 1).
Calculations can also be crosschecked with spreadsheets. Results should be same.
--
Best regards,
Boon Ghee
GNU bug tracking system
Copyright (C) 1999 Darren O. Benham,
1997,2003 nCipher Corporation Ltd,
1994-97 Ian Jackson.