Scotland 3-1 Kazakhstan: Steve Clarke's men finish third in Euro 2020 group
by Tom EnglishScotland's bleak Euro 2020 qualifying campaign was brought to a close with a laboured victory over Kazakhstan in Glasgow.
With only third place at stake, Steve Clarke's men came from behind at a sparse Hampden against the world's 121st best side as a John McGinn brace and a Steven Naismith goal cancelled out Baktiyar Zainutdinov's fine strike.
Scotland now go into a play-off next March to try to reach the finals after winning their Nations League group, with the semi-final draw on Friday.
They will face either Bulgaria, Hungary, Israel or Romania in a one-legged tie at Hampden, with Norway or Serbia awaiting the winner.
Fewer than 20,000 fans were at Hampden to witness what was only Scotland's fifth victory of the group and which saw them finish the campaign nine points adrift of second-placed Russia.
'Only sign of life was booing'
The icy temperature was reason enough for the Scotland fans to stay away, but the truth behind the paltry attendance at Hampden had a whole lot more to do with apathy than anything else. Clarke was looking for a third win in a row at the end of a calamitous campaign and a modicum of feel-good factor before March's play-offs, but he's operating in a football vacuum nowadays.
The damage was done long before he fetched up in the job and there's a dwindling number of people prepared to turn up to watch. Even the lure of free tickets wasn't enough to bring out a reasonable crowd. If bigger numbers were watching they were doing so from home or the pub.
How many were still watching beyond the break is anybody's guess. Scotland were losing at that point. They were booed off into the bargain. Their lack of urgency was the thing. Or one of the things. There was no intensity, no tempo, not a hint that suggested they really wanted to win.
A laziness pockmarked their performance. Too many players strolled about, as if their mere presence would be enough to make the visitors fall in a heap at their feet, as if hard work wasn't required to get the job done.
Aleksey Schetkin gave Scotland an early scare when he almost got on the end of a ball into the box, and a touch might have brought the opening goal. McGinn and James Forrest had half-chances soon after but it was dull and Hampden was silent - and freezing.
Then it was a little noisier, but not in acclamation of a Scotland goal. The volume was turned in anger at one for Kazakhstan. Liam Palmer gave it away, then Scott McKenna stood off Zainutdinov and he accepted McKenna's invitation to shoot by curling a beauty beyond David Marshall.
Having thumped Scotland 3-0 earlier in the campaign they were now piling on the misery all over again. Kazakhstan, it has to be remembered, are ranked 121st in the world. More humiliation beckoned.
When Ryan Jack wasted a decent chance when blasting straight at Dymtro Nepogodov in the Kazakhstan goal just before the break, the mood at Hampden was grim. The only sign of life out there was the sound of booing.
McGinn's desire provides glimmer of hope
If Clarke took a verbal flamethrower to his players at half-time, they warranted it. This team is long past mere hairdryer treatment. Whatever words he came up with had an impact. The Scotland that appeared for the second half had more about them than the passive plodders who played out the first 45 minutes.
They needed luck and they got it. McGinn's free-kick 20 yards out took a huge deflection off Sergei Maliy and flew past Nepogodov. It was the Aston Villa midfielder's sixth goal of the campaign following on from the ones he got against Cyprus, the hat-trick against San Marino and the opener against Russia.
Scotland moved the ball faster and played with a bit of hunger. At last. Forrest fired over the top when he might have scored, Naismith did the same and he should have scored, too. The Hearts man then had a close-range flick just wide after some undue enterprising play.
They went ahead just after the hour when Palmer, emerging from a really poor first half, asked some questions down the right. His cross deflected into the Hampden sky and here again Scotland were fortunate. McGinn, who showed significant leadership in that second half, barged into Nepogodov at the near post but got away with it. As the ball descended, Naismith jumped highest and managed to bundle it home.
There was a third at the end and a second for McGinn, a goalscoring godsend. John Fleck played it to Greg Taylor, who squared for the Villa man who got in ahead of his markers to poke it home. That's seven goals in a relative blink of an eye for McGinn.
Scotland saved themselves. For Clarke, a manager utterly desperate for momentum, it was a third win in a row. Better, for sure. Not enough to draw a half-decent crowd to the national stadium, but he'll feel there is some positivity before the great play-off denouement in March.
McGinn has become a huge figure in this team, but the manager needs more with his kind of desire.
Match stats
- Scotland have won three consecutive games in all competitions for the first time since October 2017 under Gordon Strachan.
- They have won seven of their last nine competitive matches on home soil - their previous seven such wins were spread across 18 matches before this.
- Kazakhstan scored 13 goals during this qualification process, the most they have ever scored during a single qualifying campaign as a Uefa nation.
- Naismith (33 years and 66 days) became the oldest player to score for Scotland since Kenny Miller (33 years and 234 days) against England in August 2013.
- McGinn has scored six goals in his last three games for Scotland; he had netted just once in his first 18 appearances for his country before this.
Line-ups
Scotland
- 1Marshall
- 2Palmer
- 5GallagherBooked at 66mins
- 6McKenna
- 3Taylor
- 4Jack
- 10McGregor
- 11ChristieSubstituted forFleckat 83'minutes
- 8McGinnSubstituted forArmstrongat 90+2'minutes
- 7Forrest
- 9NaismithSubstituted forBurkeat 78'minutes
Substitutes
- 12McLaughlin
- 13Shinnie
- 14Fleck
- 15Devlin
- 16Morgan
- 17Burke
- 18Armstrong
- 19Brophy
- 20McBurnie
- 21MacGillivray
- 22O'Donnell
- 23Porteous
Kazakhstan
- 12Nepogodov
- 15MarochkinBooked at 67mins
- 2Maliy
- 23Logvinenko
- 16Suyumbayev
- 14PertsukhSubstituted forKuatat 74'minutesBooked at 81mins
- 6AbikenBooked at 43mins
- 18Shomko
- 19Zainutdinov
- 9IslamkhanBooked at 22minsSubstituted forFedinat 75'minutes
- 7ShchetkinSubstituted forAimbetovat 83'minutes
Substitutes
- 1Pokatilov
- 3Erlanov
- 4Kerimzhanov
- 5Kuat
- 8Tagybergen
- 10Zhukov
- 13Alip
- 17Aimbetov
- 20Fedin
- 21Miroshnichenko
- 22Shatskiy
Referee:
Bas Nijhuis
Match Stats
Home TeamScotlandAway TeamKazakhstan
Possession
Home62%
Away38%
Shots
Home22
Away5
Shots on Target
Home9
Away3
Corners
Home7
Away2
Fouls
Home7
Away16
Live Text
Posted at
Match ends, Scotland 3, Kazakhstan 1.
Full Time
Posted at 90'+5'
Second Half ends, Scotland 3, Kazakhstan 1.
Posted at 90'+3'
Attempt saved. Aybol Abiken (Kazakhstan) right footed shot from more than 35 yards is saved in the centre of the goal.
Posted at 90'+3'
Foul by Ryan Jack (Scotland).
Posted at 90'+3'
Aybol Abiken (Kazakhstan) wins a free kick in the attacking half.
Substitution
Posted at 90'+2'
Substitution, Scotland. Stuart Armstrong replaces John McGinn.
Goal!
Posted at 90'+1'
Goal! Scotland 3, Kazakhstan 1. John McGinn (Scotland) left footed shot from the centre of the box to the centre of the goal. Assisted by Greg Taylor.
Posted at 88'
Attempt saved. John McGinn (Scotland) left footed shot from outside the box is saved in the bottom left corner. Assisted by James Forrest.
Substitution
Posted at 83'
Substitution, Scotland. John Fleck replaces Ryan Christie.
Substitution
Posted at 83'
Substitution, Kazakhstan. Abat Aimbetov replaces Aleksey Shchetkin.
Posted at 83'
Attempt missed. John McGinn (Scotland) left footed shot from the centre of the box is close, but misses to the right. Assisted by Liam Palmer.
Booking
Posted at 81'
Islambek Kuat (Kazakhstan) is shown the yellow card for a bad foul.
Posted at 81'
Ryan Jack (Scotland) wins a free kick in the defensive half.
Posted at 81'
Foul by Islambek Kuat (Kazakhstan).
Posted at 80'
Offside, Kazakhstan. Dmitriy Shomko tries a through ball, but Aleksey Shchetkin is caught offside.
Posted at 79'
Ryan Christie (Scotland) wins a free kick in the defensive half.
Posted at 79'
Foul by Dmitriy Shomko (Kazakhstan).
Posted at 79'
Foul by Callum McGregor (Scotland).
Posted at 79'
Islambek Kuat (Kazakhstan) wins a free kick in the attacking half.
Substitution
Posted at 78'
Substitution, Scotland. Oliver Burke replaces Steven Naismith.
Posted at 76'
Foul by Scott McKenna (Scotland).
Posted at 76'
Aleksey Shchetkin (Kazakhstan) wins a free kick in the defensive half.
Substitution
Posted at 75'
Substitution, Kazakhstan. Maxim Fedin replaces Bauyrzhan Islamkhan.
Substitution
Posted at 74'
Substitution, Kazakhstan. Islambek Kuat replaces Yuriy Pertsukh.
Posted at 72'
Corner, Scotland. Conceded by Aleksandr Marochkin.
Posted at 70'
Foul by John McGinn (Scotland).
Posted at 70'
Gafurzhan Suyumbayev (Kazakhstan) wins a free kick in the defensive half.
Posted at 69'
Corner, Kazakhstan. Conceded by Ryan Christie.
Booking
Posted at 67'
Aleksandr Marochkin (Kazakhstan) is shown the yellow card for a bad foul.
Posted at 67'
Steven Naismith (Scotland) wins a free kick on the left wing.
Posted at 67'
Foul by Aleksandr Marochkin (Kazakhstan).
Booking
Posted at 66'
Declan Gallagher (Scotland) is shown the yellow card for a bad foul.
Posted at 66'
Foul by Declan Gallagher (Scotland).
Posted at 66'
Baktiyor Zainutdinov (Kazakhstan) wins a free kick in the defensive half.
Posted at 65'
Attempt saved. Callum McGregor (Scotland) left footed shot from outside the box is saved in the top centre of the goal. Assisted by James Forrest.
Posted at 65'
Ryan Christie (Scotland) wins a free kick on the right wing.
Posted at 65'
Foul by Dmitriy Shomko (Kazakhstan).
Goal!
Posted at 64'
Goal! Scotland 2, Kazakhstan 1. Steven Naismith (Scotland) header from very close range to the high centre of the goal.
Posted at 62'
Corner, Scotland. Conceded by Baktiyor Zainutdinov.
Posted at 62'
Attempt blocked. Callum McGregor (Scotland) left footed shot from the left side of the box is blocked. Assisted by Ryan Jack.
Show more updates
goal


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liepde.html
| Author | Thomas Wolf |
| Title | LIEPDE |
| Short description | The package LIEPDE computes infinitesimal symmetries of differential equations (DEs). These can be point-, contact and generalized higher order symmetries. The overdetermined system of symmetry conditions is solved by the program CRACK. Flags allow the formulation and solution of the symmetry conditions in successive stages to lower the overall memory and time requirements. A parameter allows the computation of the prolongation of the symmetry vector up to some given order. |
| Platform | REDUCE, version 3.6 or 3.7 |
| System requirements | The memory requirements depend crucially on the application. The non-trivial computations in the test file liepde.tst have been run in an 8MB session under LINUX. |
| Installation | In a running REDUCE session either do in "liepde.red"$ or, in order to speed up computation, either compile it with on comp$ before the above command, or, generate a fast-loading compiled file once with faslout "liepde"$ in "liepde.red"$ faslend$ and load that file whenever you want to run LIEPDE with load liepde$ In a similar way proceed with the file crack.red. The above commands assume all files to be in the current directory. |
| More information/updates | There are available a
manual, a
test file and a
log file. A web demo for LIEPDE may be available later. The latest version is available from ftp://ftp.maths.qmw.ac.uk/pub/tw/liepde/. |
| Contact | e-mail: Thomas Wolf |


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public class EuclidCoreTools
extends java.lang.Object
fastSquareRoot(double)
, or also an linear interpolation algorithm
interpolate(double, double, double)
.| Modifier and Type | Field | Description |
|---|---|---|
static double |
CLAMP_EPS |
Tolerance used in
clamp(double, double, double) to verify the bounds are sane. |
static double |
EPS_ANGLE_SHIFT |
An epsilon that is just slightly bigger than numerical inaccuracies used in
shiftAngleInRange(double, double) . |
static double |
EPS_NORM_FAST_SQRT |
Magic number used as a tolerance for switching to the fast square-root formula.
|
static double |
TwoPI |
This field is used to save unnecessary computation and represents the number
2.0 * Math.PI . |
| Constructor | Description |
|---|---|
EuclidCoreTools() |
| Modifier and Type | Method | Description |
|---|---|---|
static double |
angleDifferenceMinusPiToPi(double angleA,
double angleB) |
Computes the angle difference:
difference = angleA - angleB and shift the result to be contained in [ -pi, pi [. |
static double |
clamp(double value,
double minMax) |
Clamps value to the given range, defined by
-minMax and minMax , inclusive. |
static double |
clamp(double value,
double min,
double max) |
Clamps value to the given range, inclusive.
|
static boolean |
containsNaN(double[] array) |
Tests if at least one element in the given array is equal to
Double.NaN . |
static boolean |
containsNaN(double a,
double b) |
Tests if at least one of the two given elements is equal to Double.NaN.
|
static boolean |
containsNaN(double a,
double b,
double c) |
Tests if at least one of the three given elements is equal to Double.NaN.
|
static boolean |
containsNaN(double a,
double b,
double c,
double d) |
Tests if at least one of the four given elements is equal to Double.NaN.
|
static boolean |
containsNaN(double a0,
double a1,
double a2,
double a3,
double a4,
double a5,
double a6,
double a7,
double a8) |
Tests if at least one of the nine given elements is equal to Double.NaN.
|
static boolean |
epsilonEquals(double expectedValue,
double actualValue,
double epsilon) |
Tests if the two values are equal to an
epsilon :| expectedValue - actualValue | ≤ epsilon |
static double |
fastSquareRoot(double squaredValueClosedToOne) |
Calculates and returns the square root of the given value.
|
static double |
interpolate(double a,
double b,
double alpha) |
Performs a linear interpolation from
a to b given the percentage alpha . |
static double |
max(double a,
double b,
double c) |
Find and return the argument with the maximum value.
|
static double |
med(double a,
double b,
double c) |
Find and return the argument with the value in between the two others.
|
static double |
min(double a,
double b,
double c) |
Find and return the argument with the minimum value.
|
static double |
norm(double x,
double y) |
Calculates and returns the norm squared of the given two elements.
|
static double |
norm(double x,
double y,
double z) |
Calculates and returns the norm squared of the given three elements.
|
static double |
norm(double x,
double y,
double z,
double s) |
Calculates and returns the norm squared of the given four elements.
|
static double |
normSquared(double x,
double y) |
Calculates and returns the norm squared of the given two elements.
|
static double |
normSquared(double x,
double y,
double z) |
Calculates and returns the norm squared of the given three elements.
|
static double |
normSquared(double x,
double y,
double z,
double s) |
Calculates and returns the norm squared of the given four elements.
|
static double |
shiftAngleInRange(double angleToShift,
double angleStart) |
Recomputes the angle value
angleToShift such that the result is in [angleStart ,
angleStart + 2pi[ and still represent the same physical angle as
angleToShift . |
static double |
trimAngleMinusPiToPi(double angleToShift) |
Recomputes the angle value
angleToShift such that the result is in [ -pi,
pi [ and still represent the same physical angle as angleToShift . |
public static final double TwoPI
2.0 * Math.PI
.public static final double EPS_NORM_FAST_SQRT
public static final double EPS_ANGLE_SHIFT
shiftAngleInRange(double, double)
.public static final double CLAMP_EPS
clamp(double, double, double)
to verify the bounds are sane.public static double fastSquareRoot(double squaredValueClosedToOne)
This method is optimized when squaredValueClosedToOne
is equal to
1+/-2.107342E-8 by using an approximation of the square root.
squaredValueClosedToOne
- the value to calculates the square root of.public static boolean containsNaN(double a, double b)
a
- the first element.b
- the second element.true
if at least one element is equal to Double.NaN
, false
otherwise.public static boolean containsNaN(double a, double b, double c)
a
- the first element.b
- the second element.c
- the third element.true
if at least one element is equal to Double.NaN
, false
otherwise.public static boolean containsNaN(double a, double b, double c, double d)
a
- the first element.b
- the second element.c
- the third element.d
- the fourth element.true
if at least one element is equal to Double.NaN
, false
otherwise.public static boolean containsNaN(double a0, double a1, double a2, double a3, double a4, double a5, double a6, double a7, double a8)
a0
- the first element.a1
- the second element.a2
- the third element.a3
- the fourth element.a4
- the fifth element.a5
- the sixth element.a6
- the seventh element.a7
- the eighth element.a8
- the ninth element.true
if at least one element is equal to Double.NaN
, false
otherwise.public static boolean containsNaN(double[] array)
Double.NaN
.array
- the array containing the elements to test for Double.NaN
. Not modified.true
if at least one element is equal to Double.NaN
, false
otherwise.public static double normSquared(double x, double y)
norm2 = x2 + y2
x
- the first element.y
- the second element.public static double normSquared(double x, double y, double z)
norm2 = x2 + y2 + z2
x
- the first element.y
- the second element.z
- the third element.public static double normSquared(double x, double y, double z, double s)
norm2 = x2 + y2 + z2 + s2
x
- the first element.y
- the second element.z
- the third element.s
- the fourth element.public static double norm(double x, double y)
norm = √(x2 + y2)
This method is optimized for calculating norms closed to 1 by using
fastSquareRoot(double)
. For computing norms that are not closed to 1, prefer using the
usual Math.sqrt(double)
on the norm squared.
x
- the first element.y
- the second element.public static double norm(double x, double y, double z)
norm = √(x2 + y2 + z2)
This method is optimized for calculating norms closed to 1 by using
fastSquareRoot(double)
. For computing norms that are not closed to 1, prefer using the
usual Math.sqrt(double)
on the norm squared.
x
- the first element.y
- the second element.z
- the third element.public static double norm(double x, double y, double z, double s)
norm = √(x2 + y2 + z2 + s2)
This method is optimized for calculating norms closed to 1 by using
fastSquareRoot(double)
. For computing norms that are not closed to 1, prefer using the
usual Math.sqrt(double)
on the norm squared.
x
- the first element.y
- the second element.z
- the third element.s
- the fourth element.public static double trimAngleMinusPiToPi(double angleToShift)
angleToShift
such that the result is in [ -pi,
pi [ and still represent the same physical angle as angleToShift
.
Edge cases:
Math.abs(angleToShift + Math.PI) <
EPS_ANGLE_SHIFT
, the returned angle is
-Math.PI
.
Math.abs(angleToShift - Math.PI) <
EPS_ANGLE_SHIFT
, the returned angle is
-Math.PI
.
angleToShift
- the angle to shift.public static double angleDifferenceMinusPiToPi(double angleA, double angleB)
difference = angleA - angleB
angleA
- the first angle in the difference.angleB
- the second angle in the difference.public static double shiftAngleInRange(double angleToShift, double angleStart)
angleToShift
such that the result is in [angleStart
,
angleStart
+ 2pi[ and still represent the same physical angle as
angleToShift
.
Edge cases:
Math.abs(angleToShift - angleStart) <
EPS_ANGLE_SHIFT
, the returned angle
is angleStart
.
Math.abs(angleToShift - angleStart + 2.0 * Math.PI) <
EPS_ANGLE_SHIFT
,
the returned angle is angleStart
.
angleToShift
- the angle to shift.angleStart
- the lowest admissible angle value.angleStart
, angleStart
+ 2pi[public static final double max(double a, double b, double c)
a
- the first argument to compare.b
- the second argument to compare.c
- the third argument to compare.public static final double min(double a, double b, double c)
a
- the first argument to compare.b
- the second argument to compare.c
- the third argument to compare.public static final double med(double a, double b, double c)
a
- the first argument to compare.b
- the second argument to compare.c
- the third argument to compare.public static boolean epsilonEquals(double expectedValue, double actualValue, double epsilon)
epsilon
:expectedValue
- actualValue
| ≤ epsilon
If any of the two values is equal to Double.NaN
, this method fails and returns
false
.
expectedValue
- the first value to compare.actualValue
- the second value to compare.epsilon
- the tolerance to use for the test.true
if the two values are considered to be equal, false otherwise
.public static double clamp(double value, double minMax)
-minMax
and minMax
, inclusive.value
- valueminMax
- inclusive absolute boundary-minMax
if value
is less than -minMax
minMax
if value
is greater than minMax
value
if value
is between or equal to -minMax
and
minMax
public static double clamp(double value, double min, double max)
value
- valuemin
- inclusive boundary startmax
- inclusive boundary endmin
if value
is less than min
max
if value
is greater than max
value
if value
is between or equal to min
and
max
public static double interpolate(double a, double b, double alpha)
a
to b
given the percentage alpha
.
result = (1.0 - alpha) * a + alpha * b
a
- the first value used in the interpolation.b
- the second value used in the interpolation.alpha
- the percentage to use for the interpolation. A value of 0 will return a
,
while a value of 1 will return b
.


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January 17th was like any other day until something exciting happened: José gave Elixir 1.6 to the people. Much like the versions before it this one continues the trend of feature packed releases made possible by the collaborative efforts of many.
Let’s take a look together at the exciting features made it into the 1.6 release and how they play into our applications.
Code Formatter
While some may not think a code formatter is essential there’s one thing that the new mix format
task makes sure of: gone are debates and arguments about which styleguide or format is the “right” one.
It’s easy to apply the formatter to your project if you’re using 1.6:
$ mix format lib/**/*.ex
Newly generated projects will include the .formatter.exs
configuration file that allows you to fine tune how the formatter it applied to your code.
Together the community was able to apply the formatter to the entire Elixir code base. If you’re interested in seeing all the changes made head over to Elixir Issue #6643.
If you’re not looking to dig through commits don’t worry, we’ve got you covered. Let’s take a quick look at just a handful of the changes made to the core project with the formatter:
-
Add paranthesis to function calls:
Before
file = Keyword.get opts, :file, "nofile" line = Keyword.get opts, :line, 1
After
file = Keyword.get(opts, :file, "nofile") line = Keyword.get(opts, :line, 1)
-
Realign and reorganize complex statements:
Before
valid = is_list(aliases) and Enum.all?(aliases, fn {k, v} -> is_atom(k) and is_atom(v) end)
After
valid = is_list(aliases) and Enum.all?(aliases, fn {k, v} -> is_atom(k) and is_atom(v) end)
DynamicSupervisor
Easily one of the most exciting features of 1.6, the Dynamic Supervisor provides a powerful new tool to Elixir developers.
With traditional Supervisors we are expected to provide a static list of child processes at initialization. While this works for many situations it requires us to know the exact number of supervised processes we need at start-up which may not always be foreseeable.
Door opens and in strolls a new kid in town: DynamicSupervisor
.
Those constraints are a thing of the past with our new friend the DynamicSupervisor
.
Unlike other supervisors, the dynamic supervisor starts with no children.
Instead we add those child processes as necessary using the start_child/2
function.
Look for an all new DynamicSupervisor
lesson soon!
Compiler Behaviour
The new Mix.Task.Compiler
behaviour won’t be immediately noticeable or useful to most end users but it’s exciting nonetheless.
Through this change Elixir is able to ensure all compilers conform to a specification and provide adequate diagnostics in the event of errors. This improved diagnostics makes integration with code editors easier. The end result is better tooling support for Elixir users.
If you’re interested in taking a closer look at these changes we recommend you check out what Jake Becker, one of the features contributors, has to say in his blog post ElixirLS 0.2: Better builds, code formatter, and incremental Dialyzer.
While at first glance it may not seem like much, these are just a few key features that make up the 1.6 release. Dozens of fixes, tweaks, and other improvements make this release the best yet.
A huge thank you to those who contributed to this release, you’re doing a spectacular job!
We want to hear from you! Are you using any of these features yet? What are your favorite changes in 1.6?
Until next time!
Caught a mistake or want to contribute to the article? Edit this page on GitHub!


|
HamlPHP
Yet another Haml parser written in PHP
|
Public Member Functions | |
| __construct ($str, $encoding=null) | |
| offsetExists ($offset) | |
| offsetGet ($offset) | |
| offsetSet ($offset, $value) | |
| offsetUnset ($offset) | |
| isBeginningOfLine () | |
| check ($pattern) | |
| checkUntil ($pattern) | |
| concat ($str) | |
| exist ($pattern) | |
| getch () | |
| inspect () | |
| match ($pattern) | |
| matched () | |
| getMatched () | |
| getMatchedSize () | |
| peek ($len) | |
| getPos () | |
| setPointer ($i) | |
| setPos ($i) | |
| getPostMatch () | |
| getPreMatch () | |
| reset () | |
| getRest () | |
| restSize () | |
| scan ($pattern) | |
| scanFull ($pattern, $advance_pointer, $return_string) | |
| scanUntil ($pattern) | |
| searchFull ($pattern, $advance_pointer, $return_string) | |
| skip ($pattern) | |
| skipUntil ($pattern) | |
| getString () | |
| setString ($str) | |
| terminate () | |
| unscan () | |
Protected Member Functions | |
| isEos () | |
Protected Attributes | |
| $magic_get_methods | |
Private Member Functions | |
| doScan ($regex, $update_ptr, $get_str, $head_only) | |
| _matched ($update_curr) | |
| _clear_matched () | |
| _string_updated ($keep_pointer) | |
Private Attributes | |
| $_string | |
| $_curr | |
| $_prev | |
| $_matches | |
| $_lastMatchBeg | |
| $_lastMatchEnd | |
| $_rest | |
| $_size | |
| $_restSize | |
| $_encoding = null | |
Magic Properties | |
| read_only bool | $beginningOfLine |
| Returns true if the scan $pointer is at the beginning of the line. | |
| read_only bool | $bol |
| Returns true if the scan $pointer is at the beginning of a new line. | |
| read_only bool | $eos |
| Returns true if the scan $pointer is at the end of the string. | |
| read_only int | $matchedSize |
| Returns the size of the most recent match (see $matched or getMatched()), or null if there was no recent match. | |
| read_only int | $pointer |
| Returns the current pointer position. | |
| int | $pos |
| Returns true if the scan $pointer is at the beginning of a new line. | |
| read_only string | $rest |
| Returns the "rest" of the string (i.e. everything after the scan $pointer). If there is no more data ($eos = true), it returns "". | |
| read_only string | $restSize |
| Returns the size of the "rest" of the string. | |
| string | $string |
| Returns the string being scanned. | |
| read_only string | $matched |
| Returns true if the last match was successful. |
StringScanner provides for lexical scanning operations on a String. This class is a port of Ruby's StringScan class. So the documentation was "stolen" from there. Here is an example of its usage:
$s = new StringScanner('This is an example string'); $s->eos; # -> false echo $s->scan('/\w+/'); # -> "This" echo $s->scan('/\w+/'); # -> null echo $s->scan('/\s+/'); # -> " " echo $s->scan('/\s+/'); # -> null echo $s->scan('/\w+/'); # -> "is" $s->eos; # -> false echo $s->scan('/\s+/'); # -> " " echo $s->scan('/\w+/'); # -> "an" echo $s->scan('/\s+/'); # -> " " echo $s->scan('/\w+/'); # -> "example" echo $s->scan('/\s+/'); # -> " " echo $s->scan('/\w+/'); # -> "string" $s->eos; # -> true echo $s->scan('/\s+/'); # -> null echo $s->scan('/\w+/'); # -> null
Scanning a $string means remembering the position of a scan $pointer, which is just an index. The point of scanning is to move forward a bit at a time, so matches are sought after the scan $pointer; usually immediately after it.
Given the string "test string", here are the pertinent scan $pointer positions:
t e s t s t r i n g 0 1 2 ... 1 0
When you scan() for a pattern (a regular expression), the match must occur at the character after the scan $pointer. If you use scanUntil(), then the match can occur anywhere after the scan pointer. In both cases, the scan $pointer moves just beyond the last character of the match, ready to scan again from the next character onwards. This is demonstrated by the example above.
There are other methods besides the plain scanners. You can look ahead in the string without actually scanning. You can access the most recent match. You can modify the $string being scanned, reset() or terminate() the scanner, find out or change the position of the scan $pointer, skip() ahead, and so on.
There are aliases to several of the methods.
Definition at line 126 of file StringScanner.php.
| __construct | ( | $ | str, |
| $ | encoding = null |
||
| ) |
Creates a new StringScanner object to scan over the given $string.
| string | $str | The string to be scanned |
| string | $encoding | The encoding of the string |
Definition at line 239 of file StringScanner.php.
References reset().
| read_only bool $beginningOfLine |
Returns true if the scan $pointer is at the beginning of the line.
| read_only bool $bol |
Returns true if the scan $pointer is at the beginning of a new line.
| read_only bool $eos |
Returns true if the scan $pointer is at the end of the string.
| read_only string $matched |
Returns true if the last match was successful.
| read_only int $matchedSize |
Returns the size of the most recent match (see $matched or getMatched()), or null if there was no recent match.
| read_only int $pointer |
Returns the current pointer position.
| int $pos |
Returns true if the scan $pointer is at the beginning of a new line.
| read_only string $rest |
| read_only string $restSize |
Returns the size of the "rest" of the string.
| string $string |
Returns the string being scanned.
| _clear_matched | ( | ) | [private] |
Definition at line 316 of file StringScanner.php.
Referenced by doScan(), terminate(), and unscan().
| _matched | ( | $ | update_curr | ) | [private] |
Definition at line 302 of file StringScanner.php.
| _string_updated | ( | $ | keep_pointer | ) | [private] |
Definition at line 323 of file StringScanner.php.
| check | ( | $ | pattern | ) |
This returns the value that scan would return, without advancing the scan pointer. The match register is affected, though.
$s = new StringScanner("Fri Dec 12 1975 14:39"); $s->check('/Fri/'); # -> "Fri" $s->pos; # -> 0 $s->matched; # -> "Fri" $s->check('/12/'); # -> null $s->matched; # -> null
Mnemonic: it "checks" to see whether a scan will return a value.
| string | $pattern |
Definition at line 433 of file StringScanner.php.
References doScan().
| checkUntil | ( | $ | pattern | ) |
This returns the value that scanUntil() would return, without advancing the scan $pointer. The match register is affected, though.
$s = new StringScanner("Fri Dec 12 1975 14:39"); $s->checkUntil('/12/'); # -> "Fri Dec 12" $s->pos; # -> 0 $s->matched; # -> 12
Mnemonic: it "checks" to see whether a scanUntil will return a value.
| string | $pattern |
Definition at line 451 of file StringScanner.php.
References doScan().
| concat | ( | $ | str | ) |
Appends $str to the $string being scanned. This method does not affect scan $pointer.
$s = new StringScanner("Fri Dec 12 1975 14:39"); $s->scan('/Fri /'); $s->concat(" +1000 GMT"); $s->string; // -> "Fri Dec 12 1975 14:39 +1000 GMT" $s->scan('/Dec/'); // -> "Dec"
| $str |
Definition at line 467 of file StringScanner.php.
References _string_updated().
Referenced by Element::_parseHashAttrs(), and Element::_parseHtmlAttrs().
| doScan | ( | $ | regex, |
| $ | update_ptr, | ||
| $ | get_str, | ||
| $ | head_only | ||
| ) | [private] |
Definition at line 258 of file StringScanner.php.
References _clear_matched(), and _matched().
Referenced by check(), checkUntil(), exist(), match(), scan(), scanFull(), scanUntil(), searchFull(), skip(), and skipUntil().
| exist | ( | $ | pattern | ) |
Looks ahead to see if the $pattern exists anywhere in the $string, without advancing the scan $pointer. This predicts whether a scanUntil() will return a value.
$s = new StringScanner('test string'); $s->exist('/s/'); # -> 3 $s->scan('/test/'); # -> "test" $s->exist('/s/'); # -> 2 $s->exist('/e/'); # -> null
| string | $pattern |
Definition at line 503 of file StringScanner.php.
References doScan().
| getch | ( | ) |
Scans one character and returns it. This method is multibyte character sensitive.
$s = new StringScanner("ab"); $s->getch(); # => "a" $s->getch(); # => "b" $s->getch(); # => null $s = new StringScanner("\244\242"); $s->getch(); # => "\244\242" # Japanese hira-kana "A" in EUC-JP $s->getch(); # => null
Definition at line 557 of file StringScanner.php.
References _matched().
| getMatched | ( | ) |
Returns the last matched string.
$s = new StringScanner('test string'); $s->match('/\w+/'); # -> 4 $s->matched; # -> "test"
Definition at line 646 of file StringScanner.php.
| getMatchedSize | ( | ) |
Returns the size of the most recent match (see matched), or null if there was no recent match.
$s = new StringScanner('test string'); $s->check('/\w+/'); # -> "test" $s->matchedSize; # -> 4 $s->check('/\d+/'); # -> null $s->matchedSize; # -> null
Definition at line 663 of file StringScanner.php.
| getPos | ( | ) |
Returns the character position of the scan $pointer. In the 'reset' position, this value is zero. In the 'terminated' position (i.e. the string is exhausted), this value is the size of the $string.
In short, it's a 0-based index into the $string.
$s = new StringScanner('test string'); $s->pos; # -> 0 $s->scanUntil /str/ # -> "test str" $s->pos; # -> 8 $s->terminate(); # -> #<StringScanner fin> $s->pos; # -> 11
Definition at line 708 of file StringScanner.php.
| getPostMatch | ( | ) |
Return the post-match (in the regular expression sense) of the last scan.
$s = new StringScanner('test string'); $s->scan('/\w+/'); # -> "test" $s->scan('/\s+/'); # -> " " $s->preMatch; # -> "test" $s->postMatch; # -> "string"
Definition at line 764 of file StringScanner.php.
| getPreMatch | ( | ) |
Return the pre-match (in the regular expression sense) of the last scan.
$s = new StringScanner('test string'); $s->scan('/\w+/'); # -> "test" $s->scan('/\s+/'); # -> " " $s->preMatch; # -> "test" $s->postMatch; # -> "string"
Definition at line 784 of file StringScanner.php.
| getRest | ( | ) |
Returns the "rest" of the string (i.e. everything after the scan pointer). If there is no more data (eos? = true), it returns ""
.
Definition at line 806 of file StringScanner.php.
| getString | ( | ) |
| inspect | ( | ) |
Returns a string that represents the StringScanner object, showing:
$s = new StringScanner("Fri Dec 12 1975 14:39"); $s->inspect(); # -> '#<StringScanner 0/21 @ "Fri D...">' $s->scanUntil('/12/'); # -> "Fri Dec 12" $s->inspect(); # -> '#<StringScanner 10/21 "...ec 12" @ " 1975...">'
Definition at line 580 of file StringScanner.php.
| isBeginningOfLine | ( | ) |
Returns true if the scan $pointer is at the beginning of the line.
$s = new StringScanner("test\ntest\n"); $s->bol(); # => true $s->scan('/te/'); $s->bol(); # => false $s->scan('/st\n/'); $s->bol(); # => true $s->terminate(); $s->bol(); # => true
Definition at line 415 of file StringScanner.php.
| isEos | ( | ) | [protected] |
Returns true if the scan $pointer is at the end of the string.
$s = new StringScanner('test string'); echo $s->eos; # => false $s->scan('/test/'); echo $s->eos; # => false $s->terminate(); echo $s->eos; # => true
Definition at line 486 of file StringScanner.php.
| match | ( | $ | pattern | ) |
Tests whether the given $pattern is matched from the current scan $pointer. Returns the length of the match, or
null
. The scan $pointer is not advanced.
$s = new StringScanner('test string'); echo $s->match('/\w+/'); # -> 4 echo $s->match('/\w+/'); # -> 4 echo $s->match('/\s+/'); # -> null
| string | $pattern |
Definition at line 617 of file StringScanner.php.
References doScan().
| matched | ( | ) |
Returns true if the last match was successful.
$s = new StringScanner('test string'); $s->match('/\w+/'); # => 4 $s->matched(); # => true $s->matched; # => "test" $s->match('/\d+/'); # => null $s->matched(); # => false
Definition at line 633 of file StringScanner.php.
| offsetExists | ( | $ | offset | ) |
Wether the n-th group was caught or not in the last match. 0 stands for the whole match. This method is executed when using isset() or empty().
| int | $offset |
Definition at line 353 of file StringScanner.php.
| offsetGet | ( | $ | offset | ) |
Implements ArrayAccess Return the n-th subgroup in the most recent match.
$s = new StringScanner("Fri Dec 12 1975 14:39"); $s->scan('/(\w+) (\w+) (\d+) /'); # -> "Fri Dec 12 " echo $s[0]; # -> "Fri Dec 12 " echo $s[1]; # -> "Fri" echo $s[2]; # -> "Dec" echo $s[3]; # -> "12" echo $s->postMatch(); # -> "1975 14:39" echo $s->preMatch(); # -> ""
| int | $offset |
Definition at line 373 of file StringScanner.php.
| offsetSet | ( | $ | offset, |
| $ | value | ||
| ) |
Calling this method will throw an exception. You can't set the value of the last match.
Definition at line 382 of file StringScanner.php.
| offsetUnset | ( | $ | offset | ) |
Calling this method will throw an exception. You can't unset the value of the last match.
Definition at line 391 of file StringScanner.php.
| peek | ( | $ | len | ) |
Extracts a string corresponding to mb_substr($rest, 0, $len)
, without advancing the scan pointer.
$s = new StringScanner('test string'); $s->peek(7) # => "test st" $s->peek(7) # => "test st"
| $len |
Definition at line 682 of file StringScanner.php.
| reset | ( | ) |
Reset the scan pointer (index 0) and clear matching data.
Definition at line 795 of file StringScanner.php.
References _string_updated().
Referenced by __construct(), and setString().
| restSize | ( | ) |
$s->restSize() is equivalent to mb_strlen($s->rest)
Definition at line 814 of file StringScanner.php.
| scan | ( | $ | pattern | ) |
Tries to match with $pattern at the current position. If there's a match, the scanner advances the scan $pointer and returns the matched string. Otherwise, the scanner returns
null
.
$s = new StringScanner('test string'); echo $s->scan('/\w+/'); # -> "test" echo $s->scan('/\w+/'); # -> null echo $s->scan('/\s+/'); # -> " " echo $s->scan('/\w+/'); # -> "string" echo $s->scan('/./'); # -> null
| string | $pattern |
Definition at line 833 of file StringScanner.php.
References doScan().
Referenced by Element::_parseHashAttrs(), and Element::_parseHtmlAttrs().
| scanFull | ( | $ | pattern, |
| $ | advance_pointer, | ||
| $ | return_string | ||
| ) |
Tests whether the given +pattern+ is matched from the current scan pointer. Advances the scan pointer if +advance_pointer_p+ is true. Returns the matched string if +return_string_p+ is true. The match register is affected.
"full" means "#scan with full parameters".
| string | $pattern | The regular expression |
| bool | $advance_pointer | Wheter to update the pointer or not |
| bool | $return_string | Wheter to return the matched string or the position |
Definition at line 852 of file StringScanner.php.
References doScan().
| scanUntil | ( | $ | pattern | ) |
Scans the string _until_ the +pattern+ is matched. Returns the substring up to and including the end of the match, advancing the scan pointer to that location. If there is no match, +null+ is returned.
$s = new StringScanner("Fri Dec 12 1975 14:39"); $s->scanUntil('/1/'); # -> "Fri Dec 1" $s->preMatch(); # -> "Fri Dec " $s->scanUntil('/XYZ/'); # -> null
| string | $pattern |
Definition at line 871 of file StringScanner.php.
References doScan().
Referenced by Element::_parseHashAttrs().
| searchFull | ( | $ | pattern, |
| $ | advance_pointer, | ||
| $ | return_string | ||
| ) |
Scans the string _until_ the $pattern is matched. Advances the scan pointer if $advance_pointer, otherwise not. Returns the matched string if $return_string is true, otherwise returns the number of bytes advanced. This method does affect the match register.
| string | $pattern | The regular expression |
| bool | $advance_pointer | Wheter to update the pointer or not |
| bool | $return_string | Wheter to return the matched string or the position |
Definition at line 889 of file StringScanner.php.
References doScan().
| setPointer | ( | $ | i | ) |
Set the byte position of the scan pointer.
$s = new StringScanner('test string'); $s->pos = 7 # -> 7 $s->rest; # -> "ring"
| int | $i |
Definition at line 723 of file StringScanner.php.
Referenced by setPos().
| setPos | ( | $ | i | ) |
Same as setPointer() Set the byte position of the scan pointer.
$s = new StringScanner('test string'); $s->pos = 7 # -> 7 $s->rest; # -> "ring"
| int | $i |
Definition at line 748 of file StringScanner.php.
References setPointer().
| setString | ( | $ | str | ) |
Changes the string being scanned to +str+ and resets the scanner.
| string | $str |
Definition at line 954 of file StringScanner.php.
References reset().
| skip | ( | $ | pattern | ) |
Attempts to skip over the given +pattern+ beginning with the scan pointer. If it matches, the scan pointer is advanced to the end of the match, and the length of the match is returned. Otherwise, +null+ is returned.
It's similar to scan, but without returning the matched string.
$s = new StringScanner('test string'); echo $s->skip('/\w+/'); # -> 4 echo $s->skip('/\w+/'); # -> null echo $s->skip('/\s+/'); # -> 1 echo $s->skip('/\w+/'); # -> 6 echo $s->skip('/./'); # -> null
| string | $pattern |
Definition at line 912 of file StringScanner.php.
References doScan().
| skipUntil | ( | $ | pattern | ) |
Advances the scan pointer until +pattern+ is matched and consumed. Returns the number of bytes advanced, or +null+ if no match was found.
Look ahead to match +pattern+, and advance the scan pointer to the _end_ of the match. Return the number of characters advanced, or +null+ if the match was unsuccessful.
It's similar to scanUntil, but without returning the intervening string.
$s = new StringScanner("Fri Dec 12 1975 14:39"); $s->skipUntil('/12/'); # -> 10
| string | $pattern |
Definition at line 934 of file StringScanner.php.
References doScan().
| terminate | ( | ) |
Set the scan pointer to the end of the string and clear matching data.
Definition at line 963 of file StringScanner.php.
References _clear_matched().
| unscan | ( | ) |
Set the scan pointer to the previous position. Only one previous position is remembered, and it changes with each scanning operation.
$s = new StringScanner('test string'); $s->scan('/\w+/'); # => "test" $s->unscan(); $s->scan('/../'); # => "te" $s->scan('/\d/'); # => null $s->unscan(); # ScanError: unscan failed: previous match record not exist
Definition at line 980 of file StringScanner.php.
References _clear_matched().
$_curr [private] |
Definition at line 193 of file StringScanner.php.
$_encoding = null [private] |
Definition at line 225 of file StringScanner.php.
$_lastMatchBeg [private] |
Definition at line 207 of file StringScanner.php.
$_lastMatchEnd [private] |
Definition at line 213 of file StringScanner.php.
$_matches [private] |
Definition at line 201 of file StringScanner.php.
$_prev [private] |
Definition at line 195 of file StringScanner.php.
$_rest [private] |
Definition at line 215 of file StringScanner.php.
$_restSize [private] |
Definition at line 223 of file StringScanner.php.
$_size [private] |
Definition at line 221 of file StringScanner.php.
$_string [private] |
Definition at line 191 of file StringScanner.php.
$magic_get_methods [protected] |
array( 'bol' => 'isBeginningOfLine', 'beginningOfLine' => 'isBeginningOfLine', 'pointer' => 'getPos', 'eos' => 'isEos', )
Definition at line 227 of file StringScanner.php.


| Finite
Geometry Notes
|
"… the best way to understand a group is to
see it as the group of symmetries of something."
— John Baez, book review, p. 239,
Bulletin of the American Mathematical Society, April 2005
|
Update
of Oct. 22,
2008:
Concepts of Space: Euclid vs. Galois Fig. 7 Baez's statement that "lines in
the Fano
plane correspond to planes through the origin [the vertex labeled '1']
in this cube" might be
taken literally by some viewers of the Baez slides, with the planes
regarded as cutting a cube in Euclidean 3-space. So
interpreted, the statement would be false. But this is not what he
meant.
Baez took the pictures in Fig. 7 from his article "The Octonions" in the AMS Bulletin of April 2002. As that article shows, Baez's "planes through the origin" are not to be regarded as planes in Euclidean 3-space, but rather as planes in the linear 3-space over the two-element Galois field GF(2). For another picture of this 3-space, with coordinates from GF(2), see Fig. 5 above. (See also the cubes in Diamonds and Whirls, 1984.) That projective-plane lines correspond to planes through the origin in linear 3-space-- a standard definition of lines in projective geometry-- is trivially true both of the Baez cube and of the eightfold cube (Fig. 5 above). Lest viewers of the Baez lectures confuse his remarks on the Fano plane and the cube model with my own remarks on the same subject, it should be emphasized that the point of the eightfold-cube model is-- unlike the Baez cube-- to exhibit the seven projective lines not as planes through the origin, but rather as sets of partitions of the eight subcubes (Fig. 3 above). This allows group actions on the space to be visualized as generated by simple permutations of 1x1x2 cube sections (Fig. 4 above and Diamonds and Whirls). Although it is not a figure from Euclidean geometry, the eightfold cube (a Galois geometry) may be modeled by a concrete, palpable (Fig. 6 above) physical structure whose natural transformations are, unlike those of Euclidean geometry, non-continuous. As such, it may eventually, as Euclidean geometry has in the past, throw some light on the structure of the space we live in. |


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17 People Who Can Knock Anyone Off Their Feet With Just One Comment
How often do you feel like leaving a sharp comment when scrolling your newsfeed, but at the last moment decided it’s not worth it? There are people out there who can’t control themselves and just do it. They can easily leave a couple of words to the post about recently born twins, about Kate Middleton’s coat, and even about a place to buy a wooden case.
Bright Side couldn’t pass by these 17 juicy comments from internet users whose wit has reached the highest level.
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3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
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14.
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How often have strangers left comments on your posts? How often do you feel the need to leave comments? We would be glad to hear from you in the comments!
Preview photo credit Bro_olla / Twitter


THE NAVIGATOR A film review by Mark R. Leeper Copyright 1989 Mark R. Leeper
Capsule review: For the beauty of its photography and the originality of its concept this fantasy from Australia and New Zealand is the best that has been seen in America for several years. Yet it loses points because of a muddled narrative that leaves the viewer wondering what the story was really all about. Rating: +2.
It is March 1348 in Cumbria. In a small mining village there is the certain knowledge that the Plague is coming. Connor has been gone from the village for three months, much longer than expected, just finding out what is happening in the world. Perhaps the Plague has claimed him. His young brother Griffin waits for his return. And Griffin suffers from enigmatic dreams, perhaps visions, of another world and a mission of faith, perhaps an act of faith so great that God will intercede and protect the village from the onslaught of the Plague. God wants the villagers to dig through the flat disk that is our world and come out on the other side, the Celestial City. There they are to forge a cross and place it on top of the mighty cathedral that commands the Celestial City. When Connor returns with news of just how close the Plague really is, the urgency of the mission becomes obvious. They dig through the disk and find the Celestial City, a city of great wonder, though to our eyes it is just your standard 1988 New Zealand city. Things we have come to live with are to the pilgrims' eyes great sights and great dangers. And so begins their adventure.
Stylistically filmed in black and white and in color, THE NAVIGATOR beautifully re-creates the life in a 14th Century village and a comparable view of life in the 20th Century, though the color photography is much less interesting. It is a story told on many levels, not all of which are comprehensible. The style of story-telling is usually well told with the sort of duality of vision that THE GODS MUST BE CRAZY has. We see the familiar, but we also see it through the eyes of a strange culture. Only at one point does this duality break down into slapstick worthy of a Terry Gilliam.
THE NAVIGATOR is an odd and murky fantasy that seems to be pointing to some deeper meaning that is somewhere beyond view. As a fantasy it edges out even this year's FIELD OF DREAMS for originality of idea. But in the final analysis the film narrative is muddled and the point of this exercise remains unclear. I give it a +2 on the -4 to +4 scale.
Mark R. Leeper att!mtgzx!leeper<EMAIL_ADDRESS>.
The review above was posted to the
rec.arts.movies.reviews newsgroup (de.rec.film.kritiken for German reviews).
The Internet Movie Database accepts no responsibility for the contents of the
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Related links: index of all rec.arts.movies.reviews reviews


A node module (with full Typescript support) to emulate localStorage
and/or sessionStorage outside the browser.
(A major use case being unit tests)
npm install mockstorage
or
yarn add mockstorage
In Javascript
var MockStorage = require('mockstorage').MockStorage
var myStore = new MockStorage()
myStore.setItem('myKey', 'some value')
console.log(myStore.getItem('myKey')) // > 'some value'
In Typescript
import { MockStorage } from 'mockstorage'
const myStore = new MockStorage()
myStore.setItem('myKey', 'some value')
console.log(myStore.getItem('myKey')) // > 'some value'
This project is licensed under the MIT license (a copy of which is part of the project)
Copyright (c) 2017, Arnav Gupta
Generated using TypeDoc


(Placeholder Text)
text1 here
(Placeholder Text)
text2 here
(Placeholder Text)
text3 here
(Placeholder Text)
text4 here


The new ImageCache instance
Returns a list of the available actions
The list of available actions
Gets an action
Returns a list of the available plugins
The list of available plugins
Returns a list of the available presets
The list of available presets
Registers an action from a plugin
Renders an image using the supplied preset.
The image to be rendered
The preset to use
Generated using TypeDoc
Creates a new instance of ImageCache with a list of presets.


Assembly: SketchUpFactory (in SketchUpFactory.dll)
| Name | Description | |
|---|---|---|
| Color | Define an RGBA color. | |
| CompDef | Defines a reusable component. | |
| CompInst | Instance created from a CompDef. | |
| EdgePoint | Defines an edge in a Loop. | |
| Entities | Parent class for Model, CompInst, and Group. | |
| Face | A polygon with one outer loop, zero to many inner loops. | |
| Group | A collection of entities that can be part of a Model or Component. | |
| ImageBuffer | A generic image object. | |
| Material | Represents a color or texture for a Face, Group, or CompInst instance. | |
| Model | The root of the document object model. | |
| Pixel | A single pixel from an ImageBuffer. | |
| Point2 | Store a planar value. Use for any two doubles mapped to axes. | |
| Point3 | Store a spatial value. Use for any three doubles mapped to axes. | |
| Texture | An image in the the form need for a Material. | |
| Transform | Allow scaling, rotation, and translation of Groups and CompInsts. |


Preparation time
less than 30 mins
Cooking time
10 to 30 mins
Serves
Serves 2
It's hard to resist, that post-pub kebab. But imagine how much better you'll feel tomorrow eating this homemade version.
Place the chicken breasts on a chopping board and cover loosely with a sheet of cling film.  (It will cook quicker.)
Mix the olive oil, cumin, grated garlic, the juice of half the lemon and some black pepper in a bowl and swish the chicken around to coat it completely. Marinade the chicken breasts for 10 minutes, if you have time. Meanwhile, you can prepare all the salad you want to put in.
Heat a frying pan until very hot. Lift the chicken breasts from the marinade and allow the excess to drip off. Cook in the hot pan on a high heat for 2 minutes on each side.
Add the stock – it will bubble up rapidly. Reduce the heat to medium and partly cover, cooking the chicken for about 5 more minutes or until cooked through (you’ll need to remove it from the pan and cut into it to make sure it’s cooked). Put the cooked chicken breasts onto a warm plate and scrape all the juices out on the top.
To serve, heat the flatbreads in the frying pan over a medium-high heat for a minute either side until they are warmed through and a little toasty. Place the flatbreads on two plates and spread each with some hummous. Slice the chicken into thin strips and divide between the two flatbreads. Top with salad and sauces that you like and a squeeze of lemon juice. Roll up and serve.


Across: 1. Tub by strange chap, yes... but it helped looking for 8 (11) 7. Went on air for audience's complaint (3) 9. Dangerous devices with moving parts (5) 10. Dangerous devices poets rode excitedly (9) 11. Mobs so excited by intimate parts (6) 12. At order of clan, it surrounds 29 (8) 14. Unfortunately, a teen until rank obtained in service (10) 15. Shining light on shifting 18 (4) 18. Innovative pursuits of wandering 15 (4) 19. Auto-producer replaced sub ... is it him? (10) 21. Sub lost in 63 who might hit the rye (8) 23. Small car on supporter (6) 25. Releasing mad Ivan's blog (9) 26. Challenges at sea as the French get in American fuel (5) 28. Critical report of harbour (3) 29. Violent rages, SOS as a final stage of 8's demise (8 3) Down: 1. However ship turned (3) 2. Passing violent rains in temporary shelter (9) 3. Eye moist, struck with beautiful mountain park (8) 4. Nice piece of meat found by end of sale (4) 5. Orthodoxy uni imparts deviously (10) 6. Seamen swimming in surges of water (6) 7. Bob fell on act's odd elements (5) 8. Russian scoop ruined without a sub lost in 68 (1 1 1 8) 11. Subsection (o) described as "Times" article comes before monarch (7 4) 13. Deranged killer in EU not so probable (10) 16. Sit & select members (those that have a local member) (9) 17. Makes compact as embrace of connection (8) 20. And another thing: charity comes after scripture! (6) 22. Dangerous beginnings of ructions in heavens (5) 24. Where people flock to resting place of anagrams essentially (4) 27. Quiet pursuit of Julius' end... Cleopatra's last resort! (3)


Object Oriented Thinking
###What are the main goals of the object-oriented programming?###
1. Abstraction, yes, i had to put this in the first place, in my point of view, this is the biggest goal of the OO programming
2. Encapsulation, which is a form of abstraction!
3. Reusability
4. Modularity
5. Readability
Let’s say that OO programming did never exist, so, i can say that any procedural programmer (C, fortran, cobol, etc..) who has a little notion about how to build organized codes, would, naturally, evolve to an organization that would look like the actual concept of OO programming.
Don’t you think? It would be intuitive, the object-oriented thinking is a quite natural way to think, let me show you… We are used to separate things (from now we’ll call thing as objects) by it’s class, just like the class “Car”, we know GM, wolksvagem, nissan, honda…but they all are cars, right? And we’re also used to say that something inherited some particularities from his precedent… And that’s the idea behind the OO programming, grab the main concept of object and class that defines objects in real world and use it on programming!
Just before the creation of Object-Oriented Programming, the system development in C was using the concept of breaking the big problem into small sub-problems, where each sub-result together would generate the solution of the big problem in question. It’s actually smart to think like this, the OOP languages just formalized this concept (and of course, create others features, but this was the start point). Look at this following problem: We want a data structure to represent the functionaries of determined business, this functionary should have a name, age, salary and a function to change his salary. Let’s deal with it in the smartest way, which is, creating separately some structure that will represent the functionaries, in C we would code something like this:
typedef struct functionary{
int age;
char name[50];
float salary;
}stru_func, *ap_func;
void riseSalary(ap_func pthis){
int n;
printf("Enter new salary: \n");
scanf("%d", n);
pthis->salary = n;
}
As you can see, in this func.c, we have the structure to represent the functionaries and the function that we will use. (from now, we’ll call function as METHODS)
And here’s the main code:
#include "func.c"
int main(){
stru_func new;
printf("Enter the age, name and salary: \n");
scanf("%d", &new.age);
scanf("%s", &new.name);
scanf("%f", &new.salary);
printf ("%d \n", new.age);
printf ("%s \n", new.name);
printf ("%f \n", new.salary);
riseSalary(&new);
printf("%f", new.salary);
return 0;
}
Done, now we have a nice example of class and object…but, made with C! Where the class is this struct called “functionary” and the variables inside it we call “attributes” and the function “riseSalary” we call “method” (obs: look that the function/method is OUTSIDE the struct functionary), in fact we separate the module that represent the functionaries from the main module, and if we want, we can use this functionary module in other problems that need a struct to represent functionaries with those attributes/methods!
And…where’s the object? Right there in the main module, where we created a “variable” called “new” from the struct functionary, this is called “INSTANCE”, in this moment, we create a object from its class! Again, the class is the structure that represent the functionary and the object is the “variable” that we created with this structure!
All these concepts already happened before the creation of the pure Object-Oriented languages, but there was a need of formalize these techniques, creating more rigorous, useful and trustful standards.
The same problem that we solved in C, in java, would be something like this:
public class functionary
{
public int age;
public string name;
public int salary;
public void riseSalary(int n)
{
this.salary = n;
}
}
As you should have noticed, the method now is INSIDE the structure that represent the functionary (the class). And what the big advantage of this? the class is now more portable, we can reuse it easily!
in the main module we could just create as many object as we want just using: “functionary func = new functionary();”
Conclusion: Of course that the big evolution of procedural to Object-Oriented did not stop there! The concept of reuse, organize and divide the code and the problem created others many famous techniques that we can use on classes and objects, like the polymorfism, inheritance, abstract class and many others! But this evolution kept one main goal: modularity with more abstraction.


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Cryptography is a method of protecting information and communications through the use of codes, so that only those for whom the information is intended can read and process it. The prefix "crypt-" means "hidden" or "vault" -- and the suffix "-graphy" stands for "writing."
Modern cryptography concerns itself with the following four objectives:
Cryptosystems use a set of procedures known as cryptographic algorithms, or ciphers, to encrypt and decrypt messages to secure communications among computer systems, devices such as smartphones, and applications. A cipher suite uses one algorithm for encryption, another algorithm for message authentication, and another for key exchange. This process, embedded in protocols and written in software that runs on operating systems and networked computer systems, involves public and private key generation for data encryption/decryption, digital signing and verification for message authentication, and key exchange.
Single-key or symmetric-key encryption algorithms create a fixed length of bits known as a block cipher with a secret key that the creator/sender uses to encipher data (encryption) and the receiver uses to decipher it. Types of symmetric-key cryptography include the Advanced Encryption Standard (AES), a specification established in November 2001 by the National Institute of Standards and Technology as a Federal Information Processing Standard (FIPS 197), to protect sensitive information. The standard is mandated by the U.S. government and widely used in the private sector.
In June 2003, AES was approved by the U.S. government for classified information. It is a royalty-free specification implemented in software and hardware worldwide. AES is the successor to the Data Encryption Standard (DES) and DES3. It uses longer key lengths (128-bit, 192-bit, 256-bit) to prevent brute force and other attacks.
Public-key or asymmetric-key encryption algorithms use a pair of keys, a public key associated with the creator/sender for encrypting messages and a private key that only the originator knows (unless it is exposed or they decide to share it) for decrypting that information. The types of public-key cryptography include RSA, used widely on the internet; Elliptic Curve Digital Signature Algorithm (ECDSA) used by Bitcoin; Digital Signature Algorithm (DSA) adopted as a Federal Information Processing Standard for digital signatures by NIST in FIPS 186-4; and Diffie-Hellman key exchange.
To maintain data integrity in cryptography, hash functions, which return a deterministic output from an input value, are used to map data to a fixed data size. Types of cryptographic hash functions include SHA-1 (Secure Hash Algorithm 1), SHA-2 and SHA-3.
To conclude this documentation, we can say that Cryptography is important as it helps us data so that no unauthorized user or system can access any confidential data transfered between them.


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1
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10
.
.
.
.
The
New
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copyright
reserved
botanical
Garden
EXAMINED
FOR
BAHAMA
FLOfi*
W.
T.
OILUS
NEW/YORK
BOTANICAL
GARDEN
FIELD
MUSEUM
OF
NATURAL
HISTORY
EXPLORATIO.N
OF
THE
BAHAMAS.
ANDROS,
Road
to
Conch
Sound
MARCH
12,
1907,
NEW
YORK
BOTANICAL
GARDEN
01497959
01497959
Legend -
Level of confidence that token is an accurately-transcribed word
extremely low
very low
low
undetermined
medium
high
very high


Duler is a contemporary chair with a hint of tradition. The wicker hanging on the metallic structure makes a nice and cozy seat that embraces the body.


Don't forget to take a test today. More tests are coming soon, to test your intelligence level!!!
IQ Test
The intelligence test is a group of different questions, whose purpose is to determine the level of intelligence of the tested person. The average IQ is 100. Have you ever wondered what is your IQ? Take our IQ test and find out what is your level of intelligence right now! Completing the test is absolutely free. IQ Test


I did series of Coupled Cluster testing calculations of FH2 using two nodes connected with infiniband, with 12 cores and 48GB memory per node.
For rather small basis and tasks, such as UCCSDT/avdz and UCCSD/vtz, everything is OK, but for tasks requiring more than 500MB memory occurs the problem.
The input file is :
start fh2
scratch_dir ./tmp
memory heap 300 mb stack 300 mb global 3000 mb
geometry units au
H -0.466571969 0.000000000 -3.498280516
H 0.624505061 0.000000000 -2.532671944
F -0.008378972 0.000000000 0.319965748
end
basis noprint
* library cc-pvdz # or aug-cc-pvdz or others
end
SCF
semidirect
DOUBLET
UHF
THRESH 1.0e-10
TOL2E 1.0e-10
END
TCE
SCF
CCSD # or CCSDT or CCSDTQ
END
TASK TCE ENERGY
When I do UCCSD/avtz calculations, the Hartree Fock part is OK, but terminated at CC as below:
Memory Information
------------------
Available GA space size is<PHONE_NUMBER> doubles
Available MA space size is 78639421 doubles
Maximum block size 36 doubles
tile_dim = 35
Block Spin Irrep Size Offset Alpha
-------------------------------------------------
1 alpha a' 5 doubles 0 1
2 alpha a" 1 doubles 5 2
3 beta a' 4 doubles 6 3
4 beta a" 1 doubles 10 4
5 alpha a' 34 doubles 11 5
6 alpha a' 34 doubles 45 6
7 alpha a" 31 doubles 79 7
8 beta a' 34 doubles 110 8
9 beta a' 35 doubles 144 9
10 beta a" 31 doubles 179 10
Global array virtual files algorithm will be used
Parallel file system coherency ......... OK
Integral file = ./tmp/fh2.aoints.00
Record size in doubles = 65536 No. of integs per rec = 43688
Max. records in memory = 15 Max. records in file = 2287
No. of bits per label = 8 No. of bits per value = 64
#quartets = 1.396D+05 #integrals = 8.008D+06 #direct = 0.0% #cached =100.0%
File balance: exchanges= 12 moved= 15 time= 0.0
Fock matrix recomputed
1-e file size = 12706
1-e file name = ./tmp/fh2.f1
Cpu & wall time / sec 0.2 1.1
tce_ao2e: fast2e=1
half-transformed integrals in memory
2-e (intermediate) file size = 279803475
2-e (intermediate) file name = ./tmp/fh2.v2i
Cpu & wall time / sec 1.8 2.3
tce_mo2e: fast2e=1
2-e integrals stored in memory
2-e file size = 119972997
2-e file name = ./tmp/fh2.v2
Cpu & wall time / sec 10.0 10.5
do_pt = F
do_lam_pt = F
do_cr_pt = F
do_lcr_pt = F
do_2t_pt = F
T1-number-of-tasks 6
t1 file size = 678
t1 file name = ./tmp/fh2.t1
t1 file handle = -998
T2-number-of-boxes 38
t2 file size = 368230
t2 file name = ./tmp/fh2.t2
t2 file handle = -995
CCSD iterations
-----------------------------------------------------------------
Iter Residuum Correlation Cpu Wall V2*C2
-----------------------------------------------------------------
0: error ival=4
(rank:0 hostname:compute-10-15.local pid:19142):ARMCI DASSERT fail. ../../ga-5-1/armci/src/devices/openib/openib.c:armci_call_data_server():2193 cond:(pdscr->status==IBV_WC_SUCCESS)
12: error ival=4
(rank:12 hostname:compute-10-1.local pid:9867):ARMCI DASSERT fail. ../../ga-5-1/armci/src/devices/openib/openib.c:armci_call_data_server():2193 cond:(pdscr->status==IBV_WC_SUCCESS)
rank 0 in job 8 i10-15_52820 caused collective abort of all ranks
exit status of rank 0: killed by signal 9
For UCCSDTQ/vdz calculations, it terminated at the third iteration of CC:
2-e file size = 386290
2-e file name = ./tmp/fh2.v2
Cpu & wall time / sec 0.4 0.4
do_pt = F
do_lam_pt = F
do_cr_pt = F
do_lcr_pt = F
do_2t_pt = F
T1-number-of-tasks 6
t1 file size = 140
t1 file name = ./tmp/fh2.t1
t1 file handle = -998
T2-number-of-boxes 38
t2 file size = 14660
t2 file name = ./tmp/fh2.t2
t2 file handle = -995
t3 file size = 1160539
t3 file name = ./tmp/fh2.t3
2: WARNING:armci_set_mem_offset: offset changed 794624 to 9244672
3: WARNING:armci_set_mem_offset: offset changed 0 to 8450048
6: WARNING:armci_set_mem_offset: offset changed 794624 to 8450048
8: WARNING:armci_set_mem_offset: offset changed 794624 to 8450048
13: WARNING:armci_set_mem_offset: offset changed 0 to -620834816
t4 file size = 78188214
t4 file name = ./tmp/fh2.t4
CCSDTQ iterations
--------------------------------------------------------
Iter Residuum Correlation Cpu Wall
--------------------------------------------------------
1 0.2682660632262 -0.1813353786615 86.8 89.1
2 0.0920127385001 -0.1943555090903 87.5 89.9
0: error ival=4
(rank:0 hostname:compute-10-15.local pid:19656):ARMCI DASSERT fail. ../../ga-5-1/armci/src/devices/openib/openib.c:armci_call_data_server():2193 cond:(pdscr->status==IBV_WC_SUCCESS)
12: error ival=4
(rank:12 hostname:compute-10-1.local pid:10202):ARMCI DASSERT fail. ../../ga-5-1/armci/src/devices/openib/openib.c:armci_call_data_server():2193 cond:(pdscr->status==IBV_WC_SUCCESS)
application called MPI_Abort(comm=0x84000003, 1) - process 0
rank 0 in job 13 i10-15_52820 caused collective abort of all ranks
exit status of rank 0: killed by signal 9
If only one node was used everything is also OK. It seems that the actually available memory becomes limited if parallel with multiple nodes.
I also checked the maximum shared memory, which is nearly 36GB:
cat /proc/sys/kernel/shmmax
37976435712
The compiling setenvs are:
setenv LARGE_FILES TRUE
setenv LIB_DEFINES "-DDFLT_TOT_MEM=16777216"
setenv NWCHEM_TOP /work2/nwchem-6.1.1
setenv NWCHEM_TARGET LINUX64
setenv ENABLE_COMPONENT yes
setenv TCGRSH /usr/bin/ssh
setenv USE_MPI "y"
setenv USE_MPIF "y"
setenv USE_MPIF4 "y"
setenv MPI_LOC /work2/intel/impi/<IP_ADDRESS>/intel64
setenv MPI_LIB ${MPI_LOC}/lib
setenv MPI_INCLUDE ${MPI_LOC}/include
setenv LIBMPI "-lmpigf -lmpigi -lmpi_ilp64 -lmpi"
setenv IB_HOME /usr
setenv IB_INCLUDE $IB_HOME/include
setenv IB_LIB $IB_HOME/lib64
setenv IB_LIB_NAME "-libverbs -libumad -lpthread -lrt"
setenv ARMCI_NETWORK OPENIB
setenv PYTHONHOME /usr
setenv PYTHONVERSION 2.4
setenv USE_PYTHON64 "y"
setenv CCSDTQ yes
setenv CCSDTLR yes
setenv NWCHEM_MODULES "all python"
setenv MKLROOT /work1/soft/intel/mkl/<IP_ADDRESS>
setenv BLASOPT "-L${MKLROOT}/lib/em64t -lmkl_intel_ilp64 -lmkl_sequential -lmkl_core -lpthread -lm"
setenv FC "ifort -i8 -I${MKLROOT}/include"
setenv CC "icc -DMKL_ILP64 -I${MKLROOT}/include"
setenv MSG_COMMS MPI
How can I deal with this error? Did anyone get the similar problem?
Any suggestions are welcome.
|