[genius] Wed Apr 26 20:00:02 2017 Jiri (George) Lebl <jirka 5z com>
- From: George Lebl <jirka src gnome org>
- To: commits-list gnome org
- Cc:
- Subject: [genius] Wed Apr 26 20:00:02 2017 Jiri (George) Lebl <jirka 5z com>
- Date: Thu, 27 Apr 2017 01:00:25 +0000 (UTC)
commit 7c07ff512bd9a780587d73e9b6908cca4c5ff2f0
Author: Jiri (George) Lebl <jiri lebl gmail com>
Date: Wed Apr 26 20:00:08 2017 -0500
Wed Apr 26 20:00:02 2017 Jiri (George) Lebl <jirka 5z com>
* help/C/genius.xml: Fixes from Anders Jonsson, plus some other minor
improvements. Also all wikipedia links are now https
* src/graphing.c: fix crash after closing of window
and then doing SufracePlotDrawPoints and SurfacePlotDrawLine
ChangeLog | 8 ++
help/C/genius.xml | 319 +++++++++++++++++++++++++++++++++--------------------
src/graphing.c | 8 +-
3 files changed, 214 insertions(+), 121 deletions(-)
---
diff --git a/ChangeLog b/ChangeLog
index 447d1cb..e2c7708 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,11 @@
+Wed Apr 26 20:00:02 2017 Jiri (George) Lebl <jirka 5z com>
+
+ * help/C/genius.xml: Fixes from Anders Jonsson, plus some other minor
+ improvements. Also all wikipedia links are now https
+
+ * src/graphing.c: fix crash after closing of window
+ and then doing SufracePlotDrawPoints and SurfacePlotDrawLine
+
Wed Apr 26 17:30:29 2017 Jiri (George) Lebl <jirka 5z com>
* help/C/genius.xml: Fixes from Anders Jonsson and some new extra
diff --git a/help/C/genius.xml b/help/C/genius.xml
index ea1cd98..c1d516a 100644
--- a/help/C/genius.xml
+++ b/help/C/genius.xml
@@ -1435,7 +1435,8 @@ returns 3.
<para>
The mod operator. This does not turn on the <link
linkend='genius-gel-modular-evaluation'>modular mode</link>, but
- just returns the remainder of <userinput>a/b</userinput>.
+ just returns the remainder of integer division
+ <userinput>a/b</userinput>.
</para>
</listitem>
</varlistentry>
@@ -1445,8 +1446,9 @@ returns 3.
<term><userinput>a.%b</userinput></term>
<listitem>
<para>
- Element by element the mod operator. Returns the remainder
- after element by element integer <userinput>a./b</userinput>.
+ Element by element mod operator. Returns the remainder
+ after element by element integer division
+ <userinput>a./b</userinput>.
</para>
</listitem>
</varlistentry>
@@ -1547,7 +1549,7 @@ returns 3.
greater than or equal to
<varname>b</varname> else returns <constant>false</constant>.
These can be chained as in <userinput>a >= b >= c</userinput>
- (can also be combine with the greater than operator).
+ (and they can also be combined with the greater than operator).
</para>
</listitem>
</varlistentry>
@@ -1561,7 +1563,7 @@ returns 3.
less than
<varname>b</varname> else returns <constant>false</constant>.
These can be chained as in <userinput>a < b < c</userinput>
- (can also be combine with the less than or equal to operator).
+ (they can also be combined with the less than or equal to operator).
</para>
</listitem>
</varlistentry>
@@ -1576,7 +1578,7 @@ returns 3.
greater than
<varname>b</varname> else returns <constant>false</constant>.
These can be chained as in <userinput>a > b > c</userinput>
- (can also be combine with the greater than or equal to operator).
+ (they can also be combined with the greater than or equal to operator).
</para>
</listitem>
</varlistentry>
@@ -1641,7 +1643,7 @@ returns 3.
<term><userinput>not a</userinput></term>
<listitem>
<para>
- Logical not. Returns the logical negation of <varname>a</varname>
+ Logical not. Returns the logical negation of <varname>a</varname>.
</para>
</listitem>
</varlistentry>
@@ -1708,7 +1710,7 @@ returns 3.
Get element of a matrix in row <varname>b</varname> and column
<varname>c</varname>. If <varname>b</varname>,
<varname>c</varname> are vectors, then this gets the corresponding
- rows columns or submatrices.
+ rows, columns or submatrices.
</para>
</listitem>
</varlistentry>
@@ -1820,8 +1822,8 @@ returns 3.
<term><userinput>(a)i</userinput></term>
<listitem>
<para>
- Make a imaginary number (multiply <varname>a</varname> by the
- imaginary). Note that normally the number <varname>i</varname> is
+ Make <varname>a</varname> into an imaginary number (multiply <varname>a</varname> by the
+ imaginary). Normally the imaginary number <varname>i</varname> is
written as <userinput>1i</userinput>. So the above is equal to
<programlisting>(a)*1i
</programlisting>
@@ -2089,7 +2091,7 @@ for conditional evaluation works here as well. For example, <literal>1 or a=1</l
<title>Global Variables and Scope of Variables</title>
<para>
GEL is a
- <ulink url="http://en.wikipedia.org/wiki/Scope_%28programming%29";>
+ <ulink url="https://en.wikipedia.org/wiki/Scope_%28programming%29";>
dynamically scoped language</ulink>. We will explain what this
means below. That is, normal variables and functions are dynamically
scoped. The exception are
@@ -2386,10 +2388,33 @@ could use the following code.
the top level versus when they are inside parentheses or
inside functions. On the top level, enter acts the same as if
you press return on the command line. Therefore think of programs
- as just sequence of lines as if were entered on the command line.
+ as just a sequence of lines as if they were entered on the command line.
In particular, you do not need to enter the separator at the end of the
line (unless it is of course part of several statements inside
- parentheses).
+ parentheses). When a statement does not end with a separator on the
+ top level, the result is printed after being executed.
+ </para>
+ <para>
+ For example,
+ <programlisting>function f(x)=x^2
+f(3)
+</programlisting>
+ will print first the result of setting a function (a representation of
+ the function, in this case <computeroutput>(`(x)=(x^2))</computeroutput>)
+ and then the expected 9. To avoid this, enter a separator
+ after the function definition.
+ <programlisting>function f(x)=x^2;
+f(3)
+</programlisting>
+ If you need to put a separator into your function then you have to surround with
+ parenthesis. For example:
+<programlisting>function f(x)=(
+ y=1;
+ for j=1 to x do
+ y = y+j;
+ y^2
+);
+</programlisting>
</para>
<para>
The following code will produce an error when entered on the top
@@ -3815,7 +3840,7 @@ vectorfield plot. (See <link linkend="gel-function-VectorfieldPlot"><function>V
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Catalan%27s_constant";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Catalan%27s_constant";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/CatalansConstant.html";>Mathworld</ulink> for more
information.
</para>
</listitem>
@@ -3832,7 +3857,7 @@ vectorfield plot. (See <link linkend="gel-function-VectorfieldPlot"><function>V
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Euler-Mascheroni_constant";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Euler-Mascheroni_constant";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/MascheroniConstant";>Planetmath</ulink> or
<ulink url="http://mathworld.wolfram.com/Euler-MascheroniConstant.html";>Mathworld</ulink> for
more information.
</para>
@@ -3846,7 +3871,7 @@ vectorfield plot. (See <link linkend="gel-function-VectorfieldPlot"><function>V
<para>The Golden Ratio.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Golden_ratio";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Golden_ratio";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/GoldenRatio";>Planetmath</ulink> or
<ulink url="http://mathworld.wolfram.com/GoldenRatio.html";>Mathworld</ulink> for more information.
</para>
@@ -3862,7 +3887,7 @@ vectorfield plot. (See <link linkend="gel-function-VectorfieldPlot"><function>V
round and uniform.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Standard_gravity";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Standard_gravity";>Wikipedia</ulink> for more
information.
</para>
</listitem>
</varlistentry>
@@ -3880,7 +3905,7 @@ vectorfield plot. (See <link linkend="gel-function-VectorfieldPlot"><function>V
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/E_(mathematical_constant)">Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/E_(mathematical_constant)">Wikipedia</ulink> or
<ulink url="http://planetmath.org/E";>Planetmath</ulink> or
<ulink url="http://mathworld.wolfram.com/e.html";>Mathworld</ulink> for more information.
</para>
@@ -3897,7 +3922,7 @@ vectorfield plot. (See <link linkend="gel-function-VectorfieldPlot"><function>V
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Pi";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Pi";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/Pi";>Planetmath</ulink> or
<ulink url="http://mathworld.wolfram.com/Pi.html";>Mathworld</ulink> for more information.
</para>
@@ -3923,7 +3948,7 @@ vectorfield plot. (See <link linkend="gel-function-VectorfieldPlot"><function>V
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Absolute_value";>Wikipedia</ulink>,
+ <ulink url="https://en.wikipedia.org/wiki/Absolute_value";>Wikipedia</ulink>,
<ulink url="http://planetmath.org/AbsoluteValue";>Planetmath (absolute value)</ulink>,
<ulink url="http://planetmath.org/ModulusOfComplexNumber";>Planetmath (modulus)</ulink>,
<ulink url="http://mathworld.wolfram.com/AbsoluteValue.html";>Mathworld (absolute value)</ulink> or
@@ -3950,7 +3975,7 @@ for more information.
all its elements are conjugated.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Complex_conjugate";>Wikipedia</ulink> for more
information.
+ <ulink url="https://en.wikipedia.org/wiki/Complex_conjugate";>Wikipedia</ulink> for more
information.
</para>
</listitem>
</varlistentry>
@@ -3962,7 +3987,7 @@ all its elements are conjugated.</para>
<para>Get the denominator of a rational number.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Denominator";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Denominator";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -3974,7 +3999,7 @@ all its elements are conjugated.</para>
<para>Return the fractional part of a number.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Fractional_part";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Fractional_part";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -3987,7 +4012,7 @@ all its elements are conjugated.</para>
<para>Get the imaginary part of a complex number. For example <userinput>Re(3+4i)</userinput>
yields 4.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Imaginary_part";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Imaginary_part";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -4087,7 +4112,7 @@ we accept the convention that 0 is not a natural number.</para>
<para>Get the numerator of a rational number.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Numerator";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Numerator";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -4100,7 +4125,7 @@ we accept the convention that 0 is not a natural number.</para>
<para>Get the real part of a complex number. For example <userinput>Re(3+4i)</userinput> yields
3.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Real_part";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Real_part";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -4154,7 +4179,7 @@ value then <function>Sign</function> returns the direction or 0.
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Exponential_function";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Exponential_function";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/LogarithmFunction";>Planetmath</ulink> or
<ulink url="http://mathworld.wolfram.com/ExponentialFunction.html";>Mathworld</ulink> for more
information.
</para>
@@ -4185,7 +4210,7 @@ value then <function>Sign</function> returns the direction or 0.
<para>The natural logarithm, the logarithm to base <varname>e</varname>.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Natural_logarithm";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Natural_logarithm";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/LogarithmFunction";>Planetmath</ulink> or
<ulink url="http://mathworld.wolfram.com/NaturalLogarithm.html";>Mathworld</ulink> for more
information.
</para>
@@ -4415,7 +4440,7 @@ number is specified) of the given size returned. For example,
<para>Calculates the arctan (inverse tan) function.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Arctangent";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Arctangent";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/InverseTangent.html";>Mathworld</ulink> for more
information.
</para>
</listitem>
@@ -4445,7 +4470,7 @@ number is specified) of the given size returned. For example,
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Atan2";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Atan2";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/InverseTangent.html";>Mathworld</ulink> for more
information.
</para>
</listitem>
@@ -4458,7 +4483,7 @@ number is specified) of the given size returned. For example,
<para>Calculates the cosine function.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Trigonometric_functions";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Trigonometric_functions";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/DefinitionsInTrigonometry";>Planetmath</ulink> for more
information.
</para>
</listitem>
@@ -4484,7 +4509,7 @@ number is specified) of the given size returned. For example,
<para>The cotangent function.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Trigonometric_functions";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Trigonometric_functions";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/DefinitionsInTrigonometry";>Planetmath</ulink> for more
information.
</para>
</listitem>
@@ -4510,7 +4535,7 @@ number is specified) of the given size returned. For example,
<para>The cosecant function.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Trigonometric_functions";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Trigonometric_functions";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/DefinitionsInTrigonometry";>Planetmath</ulink> for more
information.
</para>
</listitem>
@@ -4536,7 +4561,7 @@ number is specified) of the given size returned. For example,
<para>The secant function.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Trigonometric_functions";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Trigonometric_functions";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/DefinitionsInTrigonometry";>Planetmath</ulink> for more
information.
</para>
</listitem>
@@ -4562,7 +4587,7 @@ number is specified) of the given size returned. For example,
<para>Calculates the sine function.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Trigonometric_functions";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Trigonometric_functions";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/DefinitionsInTrigonometry";>Planetmath</ulink> for more
information.
</para>
</listitem>
@@ -4588,7 +4613,7 @@ number is specified) of the given size returned. For example,
<para>Calculates the tan function.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Trigonometric_functions";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Trigonometric_functions";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/DefinitionsInTrigonometry";>Planetmath</ulink> for more
information.
</para>
</listitem>
@@ -4637,7 +4662,7 @@ number is specified) of the given size returned. For example,
<para>Return the <varname>n</varname>th Bernoulli number.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Bernoulli_number";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Bernoulli_number";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/BernoulliNumber.html";>Mathworld</ulink> for more
information.
</para>
</listitem>
@@ -4654,7 +4679,7 @@ number is specified) of the given size returned. For example,
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Chinese_remainder_theorem";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Chinese_remainder_theorem";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/ChineseRemainderTheorem";>Planetmath</ulink> or
<ulink url="http://mathworld.wolfram.com/ChineseRemainderTheorem.html";>Mathworld</ulink> for more
information.
</para>
@@ -4696,7 +4721,7 @@ number is specified) of the given size returned. For example,
is a prime, using the Silver-Pohlig-Hellman algorithm.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Discrete_logarithm";>Wikipedia</ulink>,
+ <ulink url="https://en.wikipedia.org/wiki/Discrete_logarithm";>Wikipedia</ulink>,
<ulink url="http://planetmath.org/DiscreteLogarithm";>Planetmath</ulink>, or
<ulink url="http://mathworld.wolfram.com/DiscreteLogarithm.html";>Mathworld</ulink> for more
information.
</para>
@@ -4722,7 +4747,7 @@ number is specified) of the given size returned. For example,
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Euler_phi";>Wikipedia</ulink>,
+ <ulink url="https://en.wikipedia.org/wiki/Euler_phi";>Wikipedia</ulink>,
<ulink url="http://planetmath.org/EulerPhifunction";>Planetmath</ulink>, or
<ulink url="http://mathworld.wolfram.com/TotientFunction.html";>Mathworld</ulink> for more
information.
</para>
@@ -4759,7 +4784,7 @@ number is specified) of the given size returned. For example,
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Factorization";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Factorization";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -4800,7 +4825,7 @@ number is specified) of the given size returned. For example,
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Fermat_factorization";>Wikipedia</ulink> for more
information.
+ <ulink url="https://en.wikipedia.org/wiki/Fermat_factorization";>Wikipedia</ulink> for more
information.
</para>
</listitem>
</varlistentry>
@@ -4873,7 +4898,7 @@ precalculated and returned in the second column.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Mersenne_prime";>Wikipedia</ulink>,
+ <ulink url="https://en.wikipedia.org/wiki/Mersenne_prime";>Wikipedia</ulink>,
<ulink url="http://planetmath.org/MersenneNumbers";>Planetmath</ulink>,
<ulink url="http://mathworld.wolfram.com/MersennePrime.html";>Mathworld</ulink> or
<ulink url="http://www.mersenne.org/";>GIMPS</ulink>
@@ -4918,8 +4943,8 @@ precalculated and returned in the second column.</para>
<synopsis>IsPerfectSquare (n)</synopsis>
<para>
Check an integer for being a perfect square of an integer. The number must
- be a real integer. Negative integers are of course never perfect
- squares of real integers.
+ be an integer. Negative integers are of course never perfect
+ squares of integers.
</para>
</listitem>
</varlistentry>
@@ -5044,7 +5069,7 @@ If <varname>q</varname> is not prime results are bogus.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Lucas%E2%80%93Lehmer_primality_test";>Wikipedia</ulink>,
+ <ulink url="https://en.wikipedia.org/wiki/Lucas%E2%80%93Lehmer_primality_test";>Wikipedia</ulink>,
<ulink url="http://planetmath.org/LucasLhemer";>Planetmath</ulink>, or
<ulink url="http://mathworld.wolfram.com/Lucas-LehmerTest.html";>Mathworld</ulink> for more
information.
</para>
@@ -5058,7 +5083,7 @@ If <varname>q</varname> is not prime results are bogus.</para>
<para>Returns the <varname>n</varname>th Lucas number.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Lucas_number";>Wikipedia</ulink>,
+ <ulink url="https://en.wikipedia.org/wiki/Lucas_number";>Wikipedia</ulink>,
<ulink url="http://planetmath.org/LucasNumbers";>Planetmath</ulink>, or
<ulink url="http://mathworld.wolfram.com/LucasNumber.html";>Mathworld</ulink> for more information.
</para>
@@ -5089,7 +5114,7 @@ If <varname>q</varname> is not prime results are bogus.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Mersenne_prime";>Wikipedia</ulink>,
+ <ulink url="https://en.wikipedia.org/wiki/Mersenne_prime";>Wikipedia</ulink>,
<ulink url="http://planetmath.org/MersenneNumbers";>Planetmath</ulink>,
<ulink url="http://mathworld.wolfram.com/MersennePrime.html";>Mathworld</ulink> or
<ulink url="http://www.mersenne.org/";>GIMPS</ulink>
@@ -5113,7 +5138,7 @@ If <varname>q</varname> is not prime results are bogus.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Miller%E2%80%93Rabin_primality_test";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Miller%E2%80%93Rabin_primality_test";>Wikipedia</ulink>
or
<ulink url="http://planetmath.org/MillerRabinPrimeTest";>Planetmath</ulink> or
<ulink
url="http://mathworld.wolfram.com/Rabin-MillerStrongPseudoprimeTest.html";>Mathworld</ulink> for more
information.
</para>
@@ -5131,7 +5156,7 @@ If <varname>q</varname> is not prime results are bogus.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Miller%E2%80%93Rabin_primality_test";>Wikipedia</ulink>,
+ <ulink url="https://en.wikipedia.org/wiki/Miller%E2%80%93Rabin_primality_test";>Wikipedia</ulink>,
<ulink url="http://planetmath.org/MillerRabinPrimeTest";>Planetmath</ulink>, or
<ulink
url="http://mathworld.wolfram.com/Rabin-MillerStrongPseudoprimeTest.html";>Mathworld</ulink> for more
information.
</para>
@@ -5401,8 +5426,8 @@ If <varname>q</varname> is not prime results are bogus.</para>
<listitem>
<synopsis>CountZeroColumns (M)</synopsis>
<para>
- Count the number of zero columns in a matrix. For example
- once your column reduce a matrix you can use this to find
+ Count the number of zero columns in a matrix. For example,
+ once you column-reduce a matrix, you can use this to find
the nullity. See <link linkend="gel-function-cref"><function>cref</function></link>
and <link linkend="gel-function-Nullity"><function>Nullity</function></link>.
</para>
@@ -5432,7 +5457,7 @@ If <varname>q</varname> is not prime results are bogus.</para>
<para>Gets the diagonal entries of a matrix as a column vector.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Diagonal_of_a_matrix#Matrices";>Wikipedia</ulink> for
more information.
+ <ulink url="https://en.wikipedia.org/wiki/Diagonal_of_a_matrix#Matrices";>Wikipedia</ulink> for
more information.
</para>
</listitem>
</varlistentry>
@@ -5509,7 +5534,7 @@ If <varname>q</varname> is not prime results are bogus.</para>
<para>Is a matrix diagonal.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Diagonal_matrix";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Diagonal_matrix";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/DiagonalMatrix";>Planetmath</ulink> for more information.
</para>
</listitem>
@@ -5551,7 +5576,7 @@ If <varname>q</varname> is not prime results are bogus.</para>
Do not confuse positive matrices with positive semi-definite matrices.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Positive_matrix";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Positive_matrix";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -5565,7 +5590,7 @@ positive (and hence real). In particular, no element is 0. Do not confuse
positive matrices with positive definite matrices.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Positive_matrix";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Positive_matrix";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -5659,7 +5684,7 @@ functions make this check. Values can be any number including complex numbers.<
<userinput>MakeDiagonal(1,2,3)</userinput>.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Diagonal_matrix";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Diagonal_matrix";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/DiagonalMatrix";>Planetmath</ulink> for more information.
</para>
</listitem>
@@ -6079,7 +6104,7 @@ result as a vector and not added together.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Eigenvalue";>Wikipedia</ulink>,
+ <ulink url="https://en.wikipedia.org/wiki/Eigenvalue";>Wikipedia</ulink>,
<ulink url="http://planetmath.org/Eigenvalue";>Planetmath</ulink>, or
<ulink url="http://mathworld.wolfram.com/Eigenvalue.html";>Mathworld</ulink> for more information.
</para>
@@ -6098,7 +6123,7 @@ the eigenvalues and their algebraic multiplicities.
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Eigenvector";>Wikipedia</ulink>,
+ <ulink url="https://en.wikipedia.org/wiki/Eigenvector";>Wikipedia</ulink>,
<ulink url="http://planetmath.org/Eigenvector";>Planetmath</ulink>, or
<ulink url="http://mathworld.wolfram.com/Eigenvector.html";>Mathworld</ulink> for more information.
</para>
@@ -6362,7 +6387,7 @@ determinant.
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Kronecker_product";>Wikipedia</ulink>,
+ <ulink url="https://en.wikipedia.org/wiki/Kronecker_product";>Wikipedia</ulink>,
<ulink url="http://planetmath.org/KroneckerProduct";>Planetmath</ulink> or
<ulink url="http://mathworld.wolfram.com/KroneckerProduct.html";>Mathworld</ulink> for more
information.
</para>
@@ -6405,7 +6430,7 @@ determinant.
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/LU_decomposition";>Wikipedia</ulink>,
+ <ulink url="https://en.wikipedia.org/wiki/LU_decomposition";>Wikipedia</ulink>,
<ulink url="http://planetmath.org/LUDecomposition";>Planetmath</ulink> or
<ulink url="http://mathworld.wolfram.com/LUDecomposition.html";>Mathworld</ulink> for more
information.
</para>
@@ -6519,7 +6544,7 @@ function of two arguments or it can be a matrix giving a sesquilinear form.
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/QR_decomposition";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/QR_decomposition";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/QRDecomposition";>Planetmath</ulink> or
<ulink url="http://mathworld.wolfram.com/QRDecomposition.html";>Mathworld</ulink> for more
information.
</para>
@@ -6644,7 +6669,7 @@ function of two arguments or it can be a matrix giving a sesquilinear form.
<para>Returns the Smith normal form of a matrix over fields (will end up with 1's on the
diagonal).</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Smith_normal_form";>Wikipedia</ulink> for more
information.
+ <ulink url="https://en.wikipedia.org/wiki/Smith_normal_form";>Wikipedia</ulink> for more
information.
</para>
</listitem>
</varlistentry>
@@ -6656,7 +6681,7 @@ function of two arguments or it can be a matrix giving a sesquilinear form.
<para>Return the Smith normal form for square integer matrices over integers.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Smith_normal_form";>Wikipedia</ulink> for more
information.
+ <ulink url="https://en.wikipedia.org/wiki/Smith_normal_form";>Wikipedia</ulink> for more
information.
</para>
</listitem>
</varlistentry>
@@ -6679,7 +6704,7 @@ conjugated and the nonconjugated version is used for the first row to give a
Hermitian matrix (if the first element is real of course).</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Toeplitz_matrix";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Toeplitz_matrix";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/ToeplitzMatrix";>Planetmath</ulink> for more information.
</para>
</listitem>
@@ -6693,7 +6718,7 @@ Hermitian matrix (if the first element is real of course).</para>
<para>Calculate the trace of a matrix. That is the sum of the diagonal elements.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Trace_(linear_algebra)">Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Trace_(linear_algebra)">Wikipedia</ulink> or
<ulink url="http://planetmath.org/Trace";>Planetmath</ulink> for more information.
</para>
</listitem>
@@ -6707,7 +6732,7 @@ Hermitian matrix (if the first element is real of course).</para>
<userinput>.'</userinput> operator.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Transpose";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Transpose";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/Transpose";>Planetmath</ulink> for more information.
</para>
</listitem>
@@ -6721,7 +6746,7 @@ Hermitian matrix (if the first element is real of course).</para>
<para>Return the Vandermonde matrix.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Vandermonde_matrix";>Wikipedia</ulink> for more
information.
+ <ulink url="https://en.wikipedia.org/wiki/Vandermonde_matrix";>Wikipedia</ulink> for more
information.
</para>
</listitem>
</varlistentry>
@@ -6788,7 +6813,7 @@ function of two arguments or it can be a matrix giving a sesquilinear form.
<para>Get the determinant of a matrix.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Determinant";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Determinant";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/Determinant2";>Planetmath</ulink> for more information.
</para>
</listitem>
@@ -6804,7 +6829,7 @@ elimination but not backaddition to <varname>M</varname>. The pivot rows are
divided to make all pivots 1.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Row_echelon_form";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Row_echelon_form";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/RowEchelonForm";>Planetmath</ulink> for more information.
</para>
</listitem>
@@ -6818,7 +6843,7 @@ divided to make all pivots 1.</para>
<para>Get the reduced row echelon form of a matrix. That is, apply gaussian elimination together
with backaddition to <varname>M</varname>.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Reduced_row_echelon_form";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Reduced_row_echelon_form";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/ReducedRowEchelonForm";>Planetmath</ulink> for more information.
</para>
</listitem>
@@ -6851,7 +6876,7 @@ divided to make all pivots 1.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Combination";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Combination";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -6906,7 +6931,7 @@ divided to make all pivots 1.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Fibonacci_number";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Fibonacci_number";>Wikipedia</ulink> or
<ulink url="http://planetmath.org/FibonacciSequence";>Planetmath</ulink> or
<ulink url="http://mathworld.wolfram.com/FibonacciNumber.html";>Mathworld</ulink> for more
information.
</para>
@@ -7017,7 +7042,7 @@ divided to make all pivots 1.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Multinomial_theorem";>Wikipedia</ulink>,
+ <ulink url="https://en.wikipedia.org/wiki/Multinomial_theorem";>Wikipedia</ulink>,
<ulink url="http://planetmath.org/MultinomialTheorem";>Planetmath</ulink>, or
<ulink url="http://mathworld.wolfram.com/MultinomialCoefficient.html";>Mathworld</ulink> for more
information.
</para>
@@ -7049,7 +7074,7 @@ do (
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Combination";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Combination";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -7077,7 +7102,7 @@ do (
<para>
See
<ulink url="http://mathworld.wolfram.com/Permutation.html";>Mathworld</ulink> or
- <ulink url="http://en.wikipedia.org/wiki/Permutation";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Permutation";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -7166,7 +7191,7 @@ do (
<para>
See
<ulink url="http://mathworld.wolfram.com/Permutation.html";>Mathworld</ulink> or
- <ulink url="http://en.wikipedia.org/wiki/Permutation";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Permutation";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -7246,7 +7271,7 @@ the term <userinput>cos(x*(n-1)*pi/L)</userinput>, while
or <varname>b</varname> can be <constant>null</constant>.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/FourierSeries.html";>Mathworld</ulink> for more
information.
</para>
</listitem>
@@ -7352,7 +7377,7 @@ computed by numerical integration using
<link linkend="gel-function-NumericalIntegral"><function>NumericalIntegral</function></link>.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/FourierSeries.html";>Mathworld</ulink> for more
information.
</para>
<para>Version 1.0.7 onwards.</para>
@@ -7372,7 +7397,7 @@ computed by numerical integration using
<link linkend="gel-function-NumericalIntegral"><function>NumericalIntegral</function></link>.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/FourierSeries.html";>Mathworld</ulink> for more
information.
</para>
<para>Version 1.0.7 onwards.</para>
@@ -7397,7 +7422,7 @@ the constant coefficient! That is, <userinput>a@(n)</userinput> refers to
the term <userinput>cos(x*(n-1)*pi/L)</userinput>.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/FourierCosineSeries.html";>Mathworld</ulink> for more
information.
</para>
<para>Version 1.0.7 onwards.</para>
@@ -7418,7 +7443,7 @@ computed by numerical integration using
<link linkend="gel-function-NumericalIntegral"><function>NumericalIntegral</function></link>.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/FourierCosineSeries.html";>Mathworld</ulink> for more
information.
</para>
<para>Version 1.0.7 onwards.</para>
@@ -7440,7 +7465,7 @@ computed by numerical integration using
<link linkend="gel-function-NumericalIntegral"><function>NumericalIntegral</function></link>.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/FourierSineSeries.html";>Mathworld</ulink> for more
information.
</para>
<para>Version 1.0.7 onwards.</para>
@@ -7461,7 +7486,7 @@ computed by numerical integration using
<link linkend="gel-function-NumericalIntegral"><function>NumericalIntegral</function></link>.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
+ <ulink url="https://en.wikipedia.org/wiki/Fourier_series";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/FourierSineSeries.html";>Mathworld</ulink> for more
information.
</para>
<para>Version 1.0.7 onwards.</para>
@@ -7598,7 +7623,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>Bessel function of the first kind of order 0. Only implemented for real numbers.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Bessel_functions";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Bessel_functions";>Wikipedia</ulink> for more
information.
</para>
<para>Version 1.0.16 onwards.</para>
</listitem>
@@ -7611,7 +7636,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>Bessel function of the first kind of order 1. Only implemented for real numbers.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Bessel_functions";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Bessel_functions";>Wikipedia</ulink> for more
information.
</para>
<para>Version 1.0.16 onwards.</para>
</listitem>
@@ -7624,7 +7649,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>Bessel function of the first kind of order <varname>n</varname>. Only implemented for real
numbers.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Bessel_functions";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Bessel_functions";>Wikipedia</ulink> for more
information.
</para>
<para>Version 1.0.16 onwards.</para>
</listitem>
@@ -7637,7 +7662,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>Bessel function of the second kind of order 0. Only implemented for real numbers.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Bessel_functions";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Bessel_functions";>Wikipedia</ulink> for more
information.
</para>
<para>Version 1.0.16 onwards.</para>
</listitem>
@@ -7650,7 +7675,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>Bessel function of the second kind of order 1. Only implemented for real numbers.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Bessel_functions";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Bessel_functions";>Wikipedia</ulink> for more
information.
</para>
<para>Version 1.0.16 onwards.</para>
</listitem>
@@ -7663,7 +7688,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>Bessel function of the second kind of order <varname>n</varname>. Only implemented for real
numbers.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Bessel_functions";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Bessel_functions";>Wikipedia</ulink> for more
information.
</para>
<para>Version 1.0.16 onwards.</para>
</listitem>
@@ -7721,7 +7746,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>
See
<ulink url="http://planetmath.org/GammaFunction";>Planetmath</ulink> or
- <ulink url="http://en.wikipedia.org/wiki/Gamma_function";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Gamma_function";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -7749,7 +7774,7 @@ and has period <userinput>b-a</userinput>.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Lambert_W_function";>Wikipedia</ulink> for more
information.
+ <ulink url="https://en.wikipedia.org/wiki/Lambert_W_function";>Wikipedia</ulink> for more
information.
</para>
<para>Version 1.0.18 onwards.</para>
</listitem>
@@ -7769,7 +7794,7 @@ and has period <userinput>b-a</userinput>.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Lambert_W_function";>Wikipedia</ulink> for more
information.
+ <ulink url="https://en.wikipedia.org/wiki/Lambert_W_function";>Wikipedia</ulink> for more
information.
</para>
</listitem>
</varlistentry>
@@ -7872,7 +7897,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>
See
<ulink url="http://planetmath.org/RiemannZetaFunction";>Planetmath</ulink> or
- <ulink url="http://en.wikipedia.org/wiki/Riemann_zeta_function";>Wikipedia</ulink> for more
information.
+ <ulink url="https://en.wikipedia.org/wiki/Riemann_zeta_function";>Wikipedia</ulink> for more
information.
</para>
</listitem>
</varlistentry>
@@ -7884,7 +7909,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>The unit step function is 0 for x<0, 1 otherwise. This is the integral of the Dirac
Delta function. Also called the Heaviside function.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Unit_step";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Unit_step";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -7925,7 +7950,7 @@ and has period <userinput>b-a</userinput>.</para>
If you want the normalized function call <userinput>sinc(pi*x)</userinput>.</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Sinc";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Sinc";>Wikipedia</ulink> for more information.
</para>
<para>Version 1.0.16 onwards.</para>
</listitem>
@@ -7955,7 +7980,7 @@ and has period <userinput>b-a</userinput>.</para>
See
<ulink url="http://planetmath.org/CubicFormula";>Planetmath</ulink>,
<ulink url="http://mathworld.wolfram.com/CubicFormula.html";>Mathworld</ulink>, or
- <ulink url="http://en.wikipedia.org/wiki/Cubic_equation";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Cubic_equation";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -7984,7 +8009,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>
See
<ulink url="http://mathworld.wolfram.com/EulerForwardMethod.html";>Mathworld</ulink> or
- <ulink url="http://en.wikipedia.org/wiki/Eulers_method";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Eulers_method";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -7997,7 +8022,7 @@ and has period <userinput>b-a</userinput>.</para>
Use classical Euler's method to numerically solve y'=f(x,y) for
initial <varname>x0</varname>, <varname>y0</varname> going to
<varname>x1</varname> with <varname>n</varname> increments,
- returns a 2 by <userinput>n+1</userinput> matrix with the
+ returns an <userinput>n+1</userinput> by 2 matrix with the
<varname>x</varname> and <varname>y</varname> values.
Unless you explicitly want to use Euler's method, you should really
think about using
@@ -8040,7 +8065,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>
See
<ulink url="http://mathworld.wolfram.com/EulerForwardMethod.html";>Mathworld</ulink> or
- <ulink url="http://en.wikipedia.org/wiki/Eulers_method";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Eulers_method";>Wikipedia</ulink> for more information.
</para>
<para>Version 1.0.10 onwards.</para>
</listitem>
@@ -8113,7 +8138,7 @@ and has period <userinput>b-a</userinput>.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Halley%27s_method";>Wikipedia</ulink> for more
information.
+ <ulink url="https://en.wikipedia.org/wiki/Halley%27s_method";>Wikipedia</ulink> for more
information.
</para>
<para>Version 1.0.18 onwards.</para>
</listitem>
@@ -8139,7 +8164,7 @@ and has period <userinput>b-a</userinput>.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Newtons_method";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Newtons_method";>Wikipedia</ulink> for more information.
</para>
<para>Version 1.0.18 onwards.</para>
</listitem>
@@ -8181,8 +8206,9 @@ and has period <userinput>b-a</userinput>.</para>
</para>
<para>
See
- <ulink url="http://planetmath.org/QuadraticFormula";>Planetmath</ulink> or
- <ulink url="http://mathworld.wolfram.com/QuadraticFormula.html";>Mathworld</ulink> for more
information.
+ <ulink url="http://planetmath.org/QuadraticFormula";>Planetmath</ulink>, or
+ <ulink url="http://mathworld.wolfram.com/QuadraticFormula.html";>Mathworld</ulink>, or
+ <ulink url="https://en.wikipedia.org/wiki/Quadratic_formula";>Wikipedia</ulink> for more
information.
</para>
</listitem>
</varlistentry>
@@ -8203,7 +8229,7 @@ and has period <userinput>b-a</userinput>.</para>
See
<ulink url="http://planetmath.org/QuarticFormula";>Planetmath</ulink>,
<ulink url="http://mathworld.wolfram.com/QuarticEquation.html";>Mathworld</ulink>, or
- <ulink url="http://en.wikipedia.org/wiki/Quartic_equation";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Quartic_equation";>Wikipedia</ulink> for more
information.
</para>
</listitem>
</varlistentry>
@@ -8229,7 +8255,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>
See
<ulink url="http://mathworld.wolfram.com/Runge-KuttaMethod.html";>Mathworld</ulink> or
- <ulink url="http://en.wikipedia.org/wiki/Runge-Kutta_methods";>Wikipedia</ulink> for more
information.
+ <ulink url="https://en.wikipedia.org/wiki/Runge-Kutta_methods";>Wikipedia</ulink> for more
information.
</para>
</listitem>
</varlistentry>
@@ -8244,7 +8270,7 @@ and has period <userinput>b-a</userinput>.</para>
y'=f(x,y) for initial <varname>x0</varname>, <varname>y0</varname>
going to <varname>x1</varname> with <varname>n</varname>
increments,
- returns a 2 by <userinput>n+1</userinput> matrix with the
+ returns an <userinput>n+1</userinput> by 2 matrix with the
<varname>x</varname> and <varname>y</varname> values. Suitable
for plugging into
<link linkend="gel-function-LinePlotDrawLine">LinePlotDrawLine</link> or
@@ -8282,7 +8308,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>
See
<ulink url="http://mathworld.wolfram.com/Runge-KuttaMethod.html";>Mathworld</ulink> or
- <ulink url="http://en.wikipedia.org/wiki/Runge-Kutta_methods";>Wikipedia</ulink> for more
information.
+ <ulink url="https://en.wikipedia.org/wiki/Runge-Kutta_methods";>Wikipedia</ulink> for more
information.
</para>
<para>Version 1.0.10 onwards.</para>
</listitem>
@@ -8300,9 +8326,10 @@ and has period <userinput>b-a</userinput>.</para>
<listitem>
<synopsis>Average (m)</synopsis>
<para>Aliases: <function>average</function> <function>Mean</function>
<function>mean</function></para>
- <para>Calculate average of an entire matrix.</para>
+ <para>Calculate average (the arithmetic mean) of an entire matrix.</para>
<para>
See
+ <ulink url="https://en.wikipedia.org/wiki/Mean";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/ArithmeticMean.html";>Mathworld</ulink> for more
information.
</para>
</listitem>
@@ -8315,6 +8342,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>Integral of the GaussFunction from 0 to <varname>x</varname> (area under the normal
curve).</para>
<para>
See
+ <ulink url="https://en.wikipedia.org/wiki/Normal_distribution";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/NormalDistribution.html";>Mathworld</ulink> for more
information.
</para>
</listitem>
@@ -8327,6 +8355,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>The normalized Gauss distribution function (the normal curve).</para>
<para>
See
+ <ulink url="https://en.wikipedia.org/wiki/Normal_distribution";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/NormalDistribution.html";>Mathworld</ulink> for more
information.
</para>
@@ -8341,6 +8370,7 @@ and has period <userinput>b-a</userinput>.</para>
<para>Calculate median of an entire matrix.</para>
<para>
See
+ <ulink url="https://en.wikipedia.org/wiki/Median";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/StatisticalMedian.html";>Mathworld</ulink> for more
information.
</para>
</listitem>
@@ -8360,9 +8390,11 @@ and has period <userinput>b-a</userinput>.</para>
<listitem>
<synopsis>RowAverage (m)</synopsis>
<para>Aliases: <function>RowMean</function></para>
- <para>Calculate average of each row in a matrix.</para>
+ <para>Calculate average of each row in a matrix. That is, compute the
+ arithmetic mean.</para>
<para>
See
+ <ulink url="https://en.wikipedia.org/wiki/Mean";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/ArithmeticMean.html";>Mathworld</ulink> for more
information.
</para>
</listitem>
@@ -8376,6 +8408,7 @@ and has period <userinput>b-a</userinput>.</para>
vector of the medians.</para>
<para>
See
+ <ulink url="https://en.wikipedia.org/wiki/Median";>Wikipedia</ulink> or
<ulink url="http://mathworld.wolfram.com/StatisticalMedian.html";>Mathworld</ulink> for more
information.
</para>
</listitem>
@@ -8473,7 +8506,7 @@ and has period <userinput>b-a</userinput>.</para>
</para>
<para>
See
- <ulink url="http://en.wikipedia.org/wiki/Newtons_method";>Wikipedia</ulink> for more information.
+ <ulink url="https://en.wikipedia.org/wiki/Newtons_method";>Wikipedia</ulink> for more information.
</para>
</listitem>
</varlistentry>
@@ -8622,7 +8655,20 @@ and has period <userinput>b-a</userinput>.</para>
<term><anchor id="gel-function-ASCIIToString"/>ASCIIToString</term>
<listitem>
<synopsis>ASCIIToString (vec)</synopsis>
- <para>Convert a vector of ASCII values to a string.</para>
+ <para>Convert a vector of ASCII values to a string.
+ See also
+ <link linkend="gel-function-StringToASCII"><function>StringToASCII</function></link>.
+ </para>
+ <para>
+ Example:
+ <screen><prompt>genius></prompt> <userinput>ASCIIToString([97,98,99])</userinput>
+= "abc"
+</screen>
+ </para>
+ <para>
+ See
+ <ulink url="https://en.wikipedia.org/wiki/ASCII";>Wikipedia</ulink> for more information.
+ </para>
</listitem>
</varlistentry>
@@ -8630,7 +8676,18 @@ and has period <userinput>b-a</userinput>.</para>
<term><anchor id="gel-function-AlphabetToString"/>AlphabetToString</term>
<listitem>
<synopsis>AlphabetToString (vec,alphabet)</synopsis>
- <para>Convert a vector of 0-based alphabet values (positions in the alphabet string) to a
string.</para>
+ <para>Convert a vector of 0-based alphabet values (positions in the alphabet string) to a string.
A <constant>null</constant> vector results in an empty string.
+ See also
+ <link linkend="gel-function-StringToAlphabet"><function>StringToAlphabet</function></link>.
+ </para>
+ <para>
+ Examples:
+ <screen><prompt>genius></prompt> <userinput>AlphabetToString([1,2,3,0,0],"abcd")</userinput>
+= "bcdaa"
+<prompt>genius></prompt> <userinput>AlphabetToString(null,"abcd")</userinput>
+= ""
+</screen>
+ </para>
</listitem>
</varlistentry>
@@ -8638,7 +8695,20 @@ and has period <userinput>b-a</userinput>.</para>
<term><anchor id="gel-function-StringToASCII"/>StringToASCII</term>
<listitem>
<synopsis>StringToASCII (str)</synopsis>
- <para>Convert a string to a vector of ASCII values.</para>
+ <para>Convert a string to a (row) vector of ASCII values.
+ See also
+ <link linkend="gel-function-ASCIIToString"><function>ASCIIToString</function></link>.
+ </para>
+ <para>
+ Example:
+ <screen><prompt>genius></prompt> <userinput>StringToASCII("abc")</userinput>
+= [97, 98, 99]
+</screen>
+ </para>
+ <para>
+ See
+ <ulink url="https://en.wikipedia.org/wiki/ASCII";>Wikipedia</ulink> for more information.
+ </para>
</listitem>
</varlistentry>
@@ -8646,7 +8716,20 @@ and has period <userinput>b-a</userinput>.</para>
<term><anchor id="gel-function-StringToAlphabet"/>StringToAlphabet</term>
<listitem>
<synopsis>StringToAlphabet (str,alphabet)</synopsis>
- <para>Convert a string to a vector of 0-based alphabet values (positions in the alphabet string),
-1's for unknown letters.</para>
+ <para>Convert a string to a (row) vector of 0-based alphabet values
+ (positions in the alphabet string), -1's for unknown letters.
+ An empty string results in a <constant>null</constant>.
+ See also
+ <link linkend="gel-function-AlphabetToString"><function>AlphabetToString</function></link>.
+ </para>
+ <para>
+ Examples:
+ <screen><prompt>genius></prompt> <userinput>StringToAlphabet("cca","abcd")</userinput>
+= [2, 2, 0]
+ <screen><prompt>genius></prompt> <userinput>StringToAlphabet("ccag","abcd")</userinput>
+= [2, 2, 0, -1]
+</screen>
+ </para>
</listitem>
</varlistentry>
@@ -8897,7 +8980,7 @@ optionally the limits as <userinput>x1,x2,y1,y2</userinput>.
<screen><prompt>genius></prompt>
<userinput>LinePlotDrawLine(0,0,1,1,"color","blue","thickness",3)</userinput>
<prompt>genius></prompt> <userinput>LinePlotDrawLine([0,0;1,-1;-1,-1])</userinput>
<prompt>genius></prompt> <userinput>LinePlotDrawLine([0,0;1,1],"arrow","end")</userinput>
-<prompt>genius></prompt>
<userinput>LinePlotDrawLine(RungeKuttaFull(`(x,y)=y,0,3,100),"color","blue","legend","The
Solution")</userinput>
+<prompt>genius></prompt>
<userinput>LinePlotDrawLine(RungeKuttaFull(`(x,y)=y,0,0.001,10,100),"color","blue","legend","The
Solution")</userinput>
<prompt>genius></prompt> <userinput>for r=0.0 to 1.0 by 0.1 do
LinePlotDrawLine([0,0;1,r],"color",[r,(1-r),0.5],"window",[0,1,0,1])</userinput>
<prompt>genius></prompt>
<userinput>LinePlotDrawLine([0,0;10,0;10,10;0,10],"filled","color","green")</userinput>
</screen>
@@ -8964,7 +9047,7 @@ optionally the limits as <userinput>x1,x2,y1,y2</userinput>.
Examples:
<screen><prompt>genius></prompt>
<userinput>LinePlotDrawPoints(0,0,"color","blue","thickness",3)</userinput>
<prompt>genius></prompt> <userinput>LinePlotDrawPoints([0,0;1,-1;-1,-1])</userinput>
-<prompt>genius></prompt>
<userinput>LinePlotDrawPoints(RungeKuttaFull(`(x,y)=y,0,3,100),"color","blue","legend","The
Solution")</userinput>
+<prompt>genius></prompt>
<userinput>LinePlotDrawPoints(RungeKuttaFull(`(x,y)=y,0,0.001,10,100),"color","blue","legend","The
Solution")</userinput>
<prompt>genius></prompt> <userinput>LinePlotDrawPoints([1;1+1i;1i;0],"thickness",5)</userinput>
<prompt>genius></prompt>
<userinput>LinePlotDrawPoints(ApplyOverMatrix((0:6)',`(k)=exp(k*2*pi*1i/7)),"thickness",3,"legend","The 7th
roots of unity")</userinput>
</screen>
@@ -9292,7 +9375,7 @@ limits as <userinput>x1,x2,y1,y2</userinput>.
</para>
<para>
Extra parameters can be added to specify line color, thickness,
- arrows, the plotting window, or legend.
+ the plotting window, or legend.
You can do this by adding an argument string <userinput>"color"</userinput>,
<userinput>"thickness"</userinput>,
<userinput>"window"</userinput>,
diff --git a/src/graphing.c b/src/graphing.c
index c78376d..79f075b 100644
--- a/src/graphing.c
+++ b/src/graphing.c
@@ -9581,7 +9581,8 @@ SurfacePlotDrawLine_op (GelCtx *ctx, GelETree * * a, int *exception)
}
}
- if (plot_mode != MODE_SURFACE) {
+ if (plot_mode != MODE_SURFACE ||
+ surface_plot == NULL) {
plot_mode = MODE_SURFACE;
plot_surface_functions (TRUE /* do_window_present */,
surfaceplot_fit_dependent_axis_cb /*fit*/);
@@ -9649,7 +9650,7 @@ SurfacePlotDrawPoints_op (GelCtx *ctx, GelETree * * a, int *exception)
y[0] = y1;
z = g_new (double, 1);
z[0] = z1;
- nextarg = 6;
+ nextarg = 3;
minx = x1;
maxx = x1;
@@ -9814,7 +9815,8 @@ SurfacePlotDrawPoints_op (GelCtx *ctx, GelETree * * a, int *exception)
}
}
- if (plot_mode != MODE_SURFACE) {
+ if (plot_mode != MODE_SURFACE ||
+ surface_plot == NULL) {
plot_mode = MODE_SURFACE;
plot_surface_functions (TRUE /* do_window_present */,
surfaceplot_fit_dependent_axis_cb /*fit*/);
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