How can I choose the right multiple? - c++

Let say I've a list of values that are multiplied by 91,875 and rounded using Round to even (aka Banker's Rounding) method. Here's the first 20 multiples:
0 0
91,875 92
183,75 184
275,625 276
367,5 368
459,375 459
551,25 551
643,125 643
735 735
826,875 827
918,75 919
1010,625 1011
1102,5 1102
1194,375 1194
1286,25 1286
1378,125 1378
1470 1470
1561,875 1562
1653,75 1654
1745,625 1746
Suppose that in between those values, my system receives other values. I need to check which of them are multiple of my original 91,875 step and which aren't.
Example. From the list I got:
3583 (before rounding it was 91,875 * 39 = 3583,125)
3584
in this case, I know that the value to choose is only 3583 since:
lrint(91,875 * 39) = 3583
and discard 3584, which is just a value in between 3583 and the next step:
lrint(91,875 * 39) = 3583
lrint(91,875 * 40) = 3675
How can I select it? I don't have 39 and 40 when I got the values. I've tried with:
int times = round(currentSample / samplesPerPulse);
double diff = abs(samplesPerPulse * times - currentSample);
if (diff < 1) {
... do somethings
}
where currentSample are 3583 and 3584 and samplesPerPulse 91,875, but even with 3584 diff is lower than 1.

Please try the following:
if((lrint(floor(currentSample / samplesPerPulse) * samplesPerPulse) == currentSample) or
(lrint(ceil(currentSample / samplesPerPulse) * samplesPerPulse) == currentSample)
)
{
.... do something
}

Related

INDEX and AGGREGATE FUNCTION in Power BI

I have a two tables are data and report.
In data table the following columns are Size A, Size B and Size C, Type and Rank.
In data table I created rank for each type based on the sizes. The purpose of the rank column were multiple matches for same size in this case the rank column will help to decide exact type were match more than one.
In report table the following columns are Size A, Size B and Size C.
In both table the Size A, Size B and Size C columns are common/relationship.
I am trying find out the appropriate type according to the Size A, Size B and Size C from data table into report table.
Data:
TYPE
SIZEA
SIZEB
SIZEC
RANK
A6
420
600
440
11.00
A4
640
600
480
9.00
A5
890
1100
1330
2.00
A6
1335
1100
2350
1.00
A7
890
1100
390
5.00
A8
890
1100
530
3.00
A9
670
1100
540
4.00
A10
670
1100
440
6.00
A11
320
1100
440
10.00
A12
600
400
400
12.00
A13
800
600
400
8.00
A14
1000
600
500
7.00
Report:
SIZEA
SIZEB
SIZEC
DESIRED RESULT-TYPE
400
300
140
A12
A12
250
250
160
A12
600
400
285
A12
400
300
150
A12
280
230
170
A12
320
320
320
A12
320
320
320
A12
600
400
140
A12
400
300
140
A12
400
300
140
A12
370
320
340
A12
320
240
250
A12
300
200
90
A12
400
290
140
A12
I am applying following formula in report table in order to get the appropriate type according to the Size A, Size B and Size C
=INDEX(DATA!$D$2:$D$16,AGGREGATE(15,6,(ROW(DATA!$H$2:$H$16)-1)/(DATA!$H$2:$H$16=1/(1/MAX(((DATA!$E$2:$E$16>=$B3)*(DATA!$F$2:$F$16>=$A3)+(DATA!$E$2:$E$16>=$A3)*(DATA!$F$2:$F$16>=$B3)>0)*(DATA!$G$2:$G$16>=$C3)*DATA!$H$2:$H$16))),1))
How can I apply the same logic in Power BI? Any advise please.
I am looking for new calculate column options. Herewith share the Excel file for your reference
https://www.dropbox.com/scl/fi/iq0gteeyazrg79q7a4tb1/AUTO-MODIFY-REQ.xlsx?dl=0&rlkey=nyyerjsg7if2dz30z9iqo6kdc
Here is another formula that will return the same result as per your current formula, although it is still a long formula, but more easily to understand:
=INDEX($D$2:$D$13,MATCH(MAX(IF($G$2:$G$13<$L3,0,
IF((IF($E$2:$E$13<$K3,0,1)*IF($F$2:$F$13<$J3,0,1))+(IF($E$2:$E$13<$J3,0,1)*IF($F$2:$F$13<$K3,0,1))>0,1,0))
*$H$2:$H$13),$H$2:$H$13,0),1)
So I will break it down to explain how do it working:
Part 1: This if formula is checking comparison of Size C, if your data is lower than than table, the value for the Type will be zero therefore will not be considered at all because zero times any amount will be zero
(IF($G$2:$G$13<$L3,0
Part 2: This part is will first checking comparison of Size A vs Size B, if lower than table than return 0 and apply for other comparison, at then end using If at the beginning to reset the value so than the final value will be 0 or 1
IF((IF($E$2:$E$13<$K3,0,1)*IF($F$2:$F$13<$J3,0,1))+(IF($E$2:$E$13<$J3,0,1)*IF($F$2:$F$13<$K3,0,1))>0,1,0)
Part 3: From the value you calculate, if 0 times any ranking will be zero, so from none zero ranking such as 12 or 9, it will get the max value from the list, most of them are 12
Max((.....)*$H$2:$H$13)
Part 4: Index Match - Finally it is same as your formula first part, but you are using Index row which make it difficult to understand
INDEX($D$2:$D$13,MATCH(Max(...))
A shorter version of your formula by removing unnecessary portion:
=INDEX($D$2:$D$13,MATCH(MAX(IF($G$2:$G$13<$L4,0,
IF(($E$2:$E$13>=$K4)*($F$2:$F$13>=$J4)+($E$2:$E$13>=$J4)*($F$2:$F$13>=$K4)>0,1,0))*$H$2:$H$13),
$H$2:$H$13,0),1)
You can add a colum to your report table like:
Desired = LOOKUPVALUE(DataR[TYPE],DataR[RANK], MAXX(FILTER(DataR, DataR[SIZEA] >= ReportR[SIZEA] && DataR[SIZEB] >= ReportR[SIZEB] && DataR[SIZEC] >= ReportR[SIZEC]), DataR[RANK]))
It first filters the table to find the row where the sizes are more or equal to the report row, selects the rank and then does a lookup to the type.
Result:

Assertion triggered in CGAL when computing polygon union

I'm writing an application in Python that applies a watermark to a font file. The glyphs are non-convex polygons with holes and consist of bezier splines defined in PostScript. The watermark needs to merge with the glyphs, not overlap. I was unable to find a library to do this in Python so I'm using CGAL & C++. I have it working nicely on most glyphs, but it's mysteriously failing on others.
Initially, I was very impressed with CGAL. It looked very comprehensive and sophisticated and seemed to provide all the functionality I needed, but it suffers one fatal flaw - and I almost can't believe it - the library contains no error handling. No error codes, no exceptions, just assertions - but only in the debug build. In the release build you get a nice segmentation fault instead. Furthermore, the assertions reveal nothing about the nature of the problem.
The program fails only on certain glyphs. The letter 'e' works fine, but it crashes on 'a'. The crash occurs when I attempt to compute the union of the glyph with the watermark. There is nothing visibly wrong with the 'a' glyph. My application parses the PostScript correctly and renders it fine on a QGraphicsView.
This program needs to run on a server and its output sent directly to the customer so it must be reliable. I can't recover from an assertion failure or a segfault, so what can I do?
Even if I get it working reliably, how can I trust that it will never fail? If there was some kind of error handling in place, I could just skip the few glyphs that it fails on, leaving them unwatermarked - not ideal, but acceptable. I just don't understand what the authors of this library were thinking; they went to such tremendous effort to make the most comprehensive geometry library available only to ensure that it's completely unfit for purpose.
Currently, it's looking like I'm going to have to modify the code myself to handle the error in a sensible way, but this just seems so ridiculous.
I'm sorry if I come off as impatient, but I'm way past my deadline and my client isn't going to care about or understand these excuses.
The assertion failure is occurring on line 2141 of multiset.h:
CGAL_multiset_precondition (comp_f(object, nodeP->object) != LARGER);
It happens when I call join() on a BezierPolygonSet. My types are as follows:
typedef CGAL::CORE_algebraic_number_traits NtTraits;
typedef NtTraits::Rational Rational;
typedef NtTraits::Algebraic Algebraic;
typedef CGAL::Cartesian<Rational> RatKernel;
typedef CGAL::Cartesian<Algebraic> AlgKernel;
typedef RatKernel::Point_2 BezierRatPoint;
typedef CGAL::Arr_Bezier_curve_traits_2<RatKernel, AlgKernel, NtTraits> Traits;
typedef Traits::Point_2 BezierPoint;
typedef Traits::Curve_2 BezierCurve;
typedef CGAL::Gps_traits_2<Traits> BezierTraits;
typedef BezierTraits::X_monotone_curve_2 BezierXMonotoneCurve;
typedef BezierTraits::General_polygon_2 BezierPolygon;
typedef BezierTraits::General_polygon_with_holes_2 BezierPolygonWithHoles;
typedef CGAL::Gps_default_dcel<BezierTraits> BezierDcelTraits;
typedef CGAL::General_polygon_set_2<BezierTraits, BezierDcelTraits> BezierPolygonSet;
Any help would be much appreciated. Thanks.
EDIT:
I have a module called Geometry which wraps the CGAL code and exposes a bunch of geometric primitives (Point, Curve, LineSegment, CubicBezier, Path) and the functions:
PathList toPathList(const PolyList& polyList);
PolyList toPolyList(const PathList& paths);
The Path class has a method called computeUnion, which looks like this:
PathList Path::computeUnion(const PathList& paths1, const PathList& paths2) {
PolyList polyList1 = toPolyList(paths1);
PolyList polyList2 = toPolyList(paths2);
cgal_wrap::BezierPolygonSet polySet;
for (auto i : polyList1) {
polySet.join(i);
}
for (auto i : polyList2) {
polySet.join(i);
}
PolyList polyList;
polySet.polygons_with_holes(std::back_inserter(polyList));
return toPathList(polyList);
}
The error occurs when I call join(). The polygons are created from paths like so:
PolyList toPolyList(const PathList& paths) {
cgal_wrap::Traits traits;
cgal_wrap::Traits::Make_x_monotone_2 fnMakeXMonotone = traits.make_x_monotone_2_object();
cgal_wrap::RatKernel ratKernel;
cgal_wrap::RatKernel::Equal_2 fnEqual = ratKernel.equal_2_object();
PolyList polyList; // The final polygons with holes
cgal_wrap::BezierPolygon outerPoly;
std::list<cgal_wrap::BezierPolygon> holes;
std::list<cgal_wrap::BezierXMonotoneCurve> monoCurves;
bool first = true;
cgal_wrap::BezierRatPoint firstPoint;
// For each path in the list
for (auto i = paths.begin(); i != paths.end(); ++i) {
const Path& path = *i;
cgal_wrap::BezierRatPoint prevEndPoint;
// For each curve in the path
for (auto j = path.begin(); j != path.end(); ++j) {
const Curve& curve = **j;
std::list<cgal_wrap::BezierRatPoint> points;
if (curve.type() == LineSegment::type) {
const LineSegment& lseg = dynamic_cast<const LineSegment&>(curve);
cgal_wrap::BezierRatPoint A = lseg.A();
if (j != path.begin()) {
if (A != prevEndPoint) {
// TODO
assert(false);
}
A = prevEndPoint;
}
points.push_back(cgal_wrap::BezierRatPoint(A));
points.push_back(cgal_wrap::BezierRatPoint(lseg.B()));
}
else if (curve.type() == CubicBezier::type) {
const CubicBezier& bezier = dynamic_cast<const CubicBezier&>(curve);
cgal_wrap::BezierRatPoint A = bezier.A();
if (j != path.begin()) {
if (A != prevEndPoint) {
// TODO
assert(false);
}
A = prevEndPoint;
}
points.push_back(cgal_wrap::BezierRatPoint(A));
points.push_back(cgal_wrap::BezierRatPoint(bezier.B()));
points.push_back(cgal_wrap::BezierRatPoint(bezier.C()));
points.push_back(cgal_wrap::BezierRatPoint(bezier.D()));
}
bool bClosesCurve = false;
if (!first && Point(points.back()) == Point(firstPoint)) {
points.pop_back();
points.push_back(firstPoint);
bClosesCurve = true;
}
prevEndPoint = points.back();
cgal_wrap::BezierCurve cgalCurve(points.begin(), points.end());
std::list<CGAL::Object> monoObjs;
fnMakeXMonotone(cgalCurve, std::back_inserter(monoObjs));
// Append the x-monotone curves to the list
cgal_wrap::BezierXMonotoneCurve monoCurve;
for (auto o = monoObjs.begin(); o != monoObjs.end(); ++o) {
if (CGAL::assign(monoCurve, *o)) {
monoCurves.push_back(monoCurve);
}
}
if (!first) {
// If this curve closes the current chain, thereby creating a new polygon
if (bClosesCurve) {
// Add the new polygon to the list
cgal_wrap::BezierPolygon subPoly(monoCurves.begin(), monoCurves.end());
if (subPoly.orientation() == CGAL::COUNTERCLOCKWISE) {
if (!outerPoly.is_empty()) {
polyList.push_back(cgal_wrap::BezierPolygonWithHoles(outerPoly, holes.begin(), holes.end()));
holes.clear();
}
outerPoly = subPoly;
}
else {
holes.push_back(subPoly);
}
monoCurves.clear();
first = true;
}
}
else {
// This is the first curve in the chain - store its source point
firstPoint = cgalCurve.control_point(0);
first = false;
}
}
}
polyList.push_back(cgal_wrap::BezierPolygonWithHoles(outerPoly, holes.begin(), holes.end()));
return polyList;
}
Notice that I'm careful to ensure that the polygon boundaries have no gaps by setting the first point of curve n+1 to the last point of curve n in case they were slightly different. I was hoping this would solve the problem, but it didn't. I can't think of any other things that might make the shapes invalid.
Here is the successful merging of the 'e' glyph with the watermark (an X).
Here is what the 'a' glyph looks like. The merging fails on this glyph.
EDIT 2:
Here are the curves that make up the 'a' glyph after parsing it from PostScript. There doesn't appear to be anything wrong with it. As I said, it looks okay when rendered. The error probably occurs during the translation from this data into the CGAL types. The line segments get translated into BezierCurves with 2 control points. I will investigate further.
LineSegment[(344, 0), (409, 0)]
CubicBezier[(409, 0), (403, 24), (400, 68), (400, 161)]
LineSegment[(400, 161), (400, 324)]
CubicBezier[(400, 324), (400, 437), (330, 485), (232, 485)]
CubicBezier[(232, 485), (180, 485), (121, 472), (66, 437)]
LineSegment[(66, 437), (94, 385)]
CubicBezier[(94, 385), (127, 405), (167, 424), (224, 424)]
CubicBezier[(224, 424), (283, 424), (326, 392), (326, 320)]
LineSegment[(326, 320), (326, 290)]
LineSegment[(326, 290), (236, 287)]
CubicBezier[(236, 287), (188, 285), (150, 280), (118, 264)]
CubicBezier[(118, 264), (70, 242), (38, 199), (38, 136)]
CubicBezier[(38, 136), (38, 45), (102, -10), (188, -10)]
CubicBezier[(188, -10), (247, -10), (293, 18), (330, 53)]
LineSegment[(330, 53), (344, 0)]
LineSegment[(326, 234), (326, 114)]
CubicBezier[(326, 114), (304, 91), (260, 52), (201, 52)]
CubicBezier[(201, 52), (147, 52), (113, 88), (113, 140)]
CubicBezier[(113, 140), (113, 171), (127, 198), (154, 213)]
CubicBezier[(154, 213), (175, 224), (202, 230), (243, 231)]
LineSegment[(243, 231), (326, 234)]
EDIT 3:
Here are the 'a' glyph curves after translation into CGAL curves. Notice that they exactly match the curves before translation implying that none of them had to be split into X-monotone subcurves; they must have all been X-monotone already.
Outer boundary:
2 344 0 409 0 [1] | 344 0 --> 409 0
4 409 0 403 24 400 68 400 161 [1] | 409 0 --> 400 161
2 400 161 400 324 [1] | 400 161 --> 400 324
4 400 324 400 437 330 485 232 485 [1] | 400 324 --> 232 485
4 232 485 180 485 121 472 66 437 [1] | 232 485 --> 66 437
2 66 437 94 385 [1] | 66 437 --> 94 385
4 94 385 127 405 167 424 224 424 [1] | 94 385 --> 224 424
4 224 424 283 424 326 392 326 320 [1] | 224 424 --> 326 320
2 326 320 326 290 [1] | 326 320 --> 326 290
2 326 290 236 287 [1] | 326 290 --> 236 287
4 236 287 188 285 150 280 118 264 [1] | 236 287 --> 118 264
4 118 264 70 242 38 199 38 136 [1] | 118 264 --> 38 136
4 38 136 38 45 102 -10 188 -10 [1] | 38 136 --> 188 -10
4 188 -10 247 -10 293 18 330 53 [1] | 188 -10 --> 330 53
2 330 53 344 0 [1] | 330 53 --> 344 0
Holes:
Hole:
2 326 234 326 114 [1] | 326 234 --> 326 114
4 326 114 304 91 260 52 201 52 [1] | 326 114 --> 201 52
4 201 52 147 52 113 88 113 140 [1] | 201 52 --> 113 140
4 113 140 113 171 127 198 154 213 [1] | 113 140 --> 154 213
4 154 213 175 224 202 230 243 231 [1] | 154 213 --> 243 231
2 243 231 326 234 [1] | 243 231 --> 326 234
This polygon causes the assertion failure when added to a BezierPolygonSet. Any ideas?
You can customize error handling; see the manual.
Please attach a complete standalone program. Nothing looks wrong to me with statements you listed.
You can approximate the Bezier curves with polylines and process the whole things using polylines. If the problem is with the handling of Bezier curves, then this would solve it. If this is acceptable, it will also be more efficient.
We have fixed a bug in the CGAL component that handles Bezier curves, namely, Arr_Bezier_curve_traits_2.h.

Bash: expand a list of coordinates (sed?)

I have a list of simple coordinates (longitude, latitude pairs) like
110 30
-120 0
130 -30
0 30
and try to expand it to this:
110 30 110\272E 30\272N 110 30 LON0
-120 0 120\272W 0\272 -120 0 LON0
130 -30 130\272E 30\272S 130 -30 LON0
0 30 0\272 30\272N 0 30 LON0
Examining the first line:
110 30 110\272E 30\272N 110 30 LON0
110 30 The first two values just stay the same
110\272E the third value is basically the first value with an added (octal \272) degree symbol and an E for positive values or a W for negative values
30\272N similar to the third value, this is the latitude with an added degree symbol and a N for positive and a S for negative values.
110 30 is just a repetition of the first two values
LON0 is a fixed string for later replacement.
Things tried so far:
I played around with sed, but was unable to achieve anything remotely useful. I wasn't able to manipulate the matched values depending on them being negative or positive.
Any help is greatly appreciated.
All the best,
Chris
EDIT: #jaypal suggested to add different possible cases that can occur. Original was only one case with minor deviations in value.
EDIT2: Had to adjust the example data due to me not updating all values in the sample data. My apologies.
Can you use awk? It will be very easy:
$ cat file
110 30
-120 0
130 -30
0 30
awk '
function abs(x) {
x = x > 0 ? x : x * -1
return x
}
{
print abs($1),abs($2), ($1>0?abs($1)"\272E":$1==0?$1"\272":abs($1)"\272W"), ($2>0?abs($2)"\272N":$2==0?$2"\272":abs($2)"\272S"), abs($1), abs($2), "LON0"
}' file
110 30 110ºE 30ºN 110 30 LON0
120 0 120ºW 0º 120 0 LON0
130 30 130ºE 30ºS 130 30 LON0
0 30 0º 30ºN 0 30 LON0
If you want to print \272 instead of º just add another backslash to prevent it from interpolating. So modify the above script and use \\272 where ever you see \272.
We print the fields as you desire in your output and the following two syntax:
($1>0?$1"\272E":$1"\272W")
($2>0?$2"\272N":$2"\272S")
are ternary operators that checks for the positivity of the values. If first is positive use E else W. If second is positive use N else use S.
Update:
awk '
function abs(x) {
x = x > 0 ? x : x * -1
return x
}
{
print $1,$2,($1>0?$1"\\272E":$1==0?$1"\\272":abs($1)"\\272W"),($2>0?$2"\\272N":$2==0?$2"\\272":abs($2)"\\272S"),$1,$2, "LON0"
}' file
110 30 110\272E 30\272N 110 30 LON0
-120 0 120\272W 0\272 -120 0 LON0
130 -30 130\272E 30\272S 130 -30 LON0
0 30 0\272 30\272N 0 30 LON0

Quarterback Rating Function with Arrays and Structs is acting strange

First of all, I should state that this is a homework assignment, so while questions that give a direct answer will give me a good grade, I would prefer to know why something doesn't work, and a reason why/how I should fix it with your solution.
So here is the background for this function. I have a quarterback struct with the following information. There are ten games, which all are stored in the struct and its arrays:
struct QuarterBack{
string name;
int completions[kNumGames];
int attempts[kNumGames];
int yards[kNumGames];
int touchdowns[kNumGames];
int interceptions[kNumGames];
};
Now my goal for this problem is to use the information stored in these structs to compute the NFL Style passer ratings. For reference, wikipedia gives the following:
So here is the code I am using. It has some excessive parenthesis that I was trying to use to make sure my control was correct, but other than that I am stumped as to why I am not getting more correct answers. Below the code I will post an example file and output.
/**
* #brief printPasserRating prints the passer rating of all players
* #param players is the array holding all the players
*/
void printPasserRating(QuarterBack *players, int numPlayers){
for(int player = 0; player < numPlayers; player++){
double passerRating = 0;
int sumCompletions = 0, sumAttempts = 0, sumYards = 0,
sumTouchdowns = 0, sumInterceptions = 0;
for(int game = 0; game < kNumGames; game++){
sumCompletions += players[player].completions[game];
sumAttempts += players[player].attempts[game];
sumYards += players[player].yards[game];
sumTouchdowns += players[player].touchdowns[game];
sumInterceptions += players[player].interceptions[game];
}
double a = 0, b = 0, c = 0, d = 0;
double nums[4] = {a, b, c, d};
nums[0] = static_cast<double>((sumCompletions / sumAttempts) - 0.3) * 5;
nums[1] = static_cast<double>((sumYards / sumAttempts) - 3) * 0.25;
nums[2] = static_cast<double>(sumTouchdowns / sumAttempts) * 20;
nums[3] = 2.375 - (static_cast<double>(sumInterceptions / sumAttempts) * 25);
for(int letter = 0; letter < 4; letter++){
nums[letter] = mm(nums[letter]);
}
passerRating = (nums[0] + nums[1] + nums[2] + nums[3]) / 0.06;
cout << players[player].name << "\t" << passerRating << endl;
}
showMenu(players, numPlayers);
}
Here is the example file. Ignore the 4, as it is for a separate part of the problem. Each row is a game, and it is listed as: completions, attempts, yards, touchdowns, then interceptions.
4
Peyton Manning
27 42 462 7 0
30 43 307 2 0
32 37 374 3 0
28 34 327 4 0
33 42 414 4 1
28 42 295 2 1
29 49 386 3 1
30 44 354 4 3
25 36 330 4 0
24 40 323 1 0
Tom Brady
29 52 288 2 1
19 39 185 1 0
25 36 225 2 1
20 31 316 2 0
18 38 197 0 1
25 43 269 1 1
22 46 228 0 1
13 22 116 1 1
23 33 432 4 0
29 40 296 1 1
Drew Brees
26 35 357 2 1
26 46 322 1 2
29 46 342 3 1
30 39 413 4 0
29 35 288 2 0
17 36 236 2 1
26 34 332 5 0
30 51 382 2 2
34 41 392 4 0
30 43 305 1 1
Eli Manning
24 35 360 1 2
25 46 340 2 3
26 44 350 3 1
34 35 460 1 2
25 36 240 2 3
16 34 250 3 1
24 35 360 1 0
35 56 340 2 2
36 44 350 3 0
34 45 360 1 1
And here is the output that the function is giving me:
Any help is much appreciated, and if you need more information to help me, feel free to comment and ask. Also, as this is a homework assignment, don't assume that I am just incompetent even if I make a silly mistake. I was told that Stack Overflow has no stupid questions, and I really hope that the community can live up to that.
This math is unlikely to do what you want:
nums[0] = static_cast<double>((sumCompletions / sumAttempts) - 0.3) * 5;
nums[1] = static_cast<double>((sumYards / sumAttempts) - 3) * 0.25;
nums[2] = static_cast<double>(sumTouchdowns / sumAttempts) * 20;
nums[3] = 2.375 - (static_cast<double>(sumInterceptions / sumAttempts) * 25);
Where you've put the cast will cast the result of the division to be double after the division has been performed. But, the division itself will be an integer division.
You want something more like this:
nums[0] = (static_cast<double>(sumCompletions) / sumAttempts - 0.3) * 5.0;
nums[1] = (static_cast<double>(sumYards) / sumAttempts - 3) * 0.25;
nums[2] = (static_cast<double>(sumTouchdowns) / sumAttempts) * 20.0;
nums[3] = 2.375 - (static_cast<double>(sumInterceptions) / sumAttempts) * 25.0;
By casting one of the terms in the divide to double, the division itself upgrades to double.
Alternately, you could just declare all of these variables to be double and avoid the casts entirely. That would make the code much easier to follow. Or, just make sumAttempts into a double, as it is common to all of the four divides.
I think the issue is in code like this:
static_cast<double>((sumCompletions / sumAttempts) - 0.3)
Here, sumCompletions and sumAttempts are ints. While you're trying to do a cast to a double to avoid integer division, the cast is on the complete value of the expression rather than on the numerator or denominator. This means that the division performed is integer division, which then has 0.3 subtracted and the result, which is already a double, is then cast to a double.
To fix this, cast the numerator or denominator, not the quotient itself:
static_cast<double>(sumCompletions) / sumAttempts - 0.3
Hope this helps!

Understanding some C++ coding practice [closed]

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I am currently trying to understand how the following code (http://pastebin.com/zTHUrmyx) works, my approach is currently compiling the software in debug and using gdb to step through the code.
However, I'm running into the problem that 'step' does not always tell me what is going on. Particularly unclear to me is the EXECUTE {...} which I cannot step into.
How do I go about learning what the code is doing?
1 /*
2 Copyright 2008 Brain Research Institute, Melbourne, Australia
3
4 Written by J-Donald Tournier, 27/06/08.
5
6 This file is part of MRtrix.
7
8 MRtrix is free software: you can redistribute it and/or modify
9 it under the terms of the GNU General Public License as published by
10 the Free Software Foundation, either version 3 of the License, or
11 (at your option) any later version.
12
13 MRtrix is distributed in the hope that it will be useful,
14 but WITHOUT ANY WARRANTY; without even the implied warranty of
15 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16 GNU General Public License for more details.
17
18 You should have received a copy of the GNU General Public License
19 along with MRtrix. If not, see <http://www.gnu.org/licenses/>.
20
21
22 15-10-2008 J-Donald Tournier <d.tournier#brain.org.au>
23 * fix -prs option handling
24 * remove MR::DICOM_DW_gradients_PRS flag
25
26 15-10-2008 J-Donald Tournier <d.tournier#brain.org.au>
27 * add -layout option to manipulate data ordering within the image file
28
29 14-02-2010 J-Donald Tournier <d.tournier#brain.org.au>
30 * fix -coord option so that the "end" keyword can be used
31
32
33 */
34
35 #include "app.h"
36 #include "image/position.h"
37 #include "image/axis.h"
38 #include "math/linalg.h"
39
40 using namespace std;
41 using namespace MR;
42
43 SET_VERSION_DEFAULT;
44
45 DESCRIPTION = {
46 "perform conversion between different file types and optionally extract a subset of the input image.",
47 "If used correctly, this program can be a very useful workhorse. In addition to converting images between different formats, it can be used to extract specific studies from a data set, extract a specific region of interest, flip the images, or to scale the intensity of the images.",
48 NULL
49 };
50
51 ARGUMENTS = {
52 Argument ("input", "input image", "the input image.").type_image_in (),
53 Argument ("ouput", "output image", "the output image.").type_image_out (),
54 Argument::End
55 };
56
57
58 const gchar* type_choices[] = { "REAL", "IMAG", "MAG", "PHASE", "COMPLEX", NULL };
59 const gchar* data_type_choices[] = { "FLOAT32", "FLOAT32LE", "FLOAT32BE", "FLOAT64", "FLOAT64LE", "FLOAT64BE",
60 "INT32", "UINT32", "INT32LE", "UINT32LE", "INT32BE", "UINT32BE",
61 "INT16", "UINT16", "INT16LE", "UINT16LE", "INT16BE", "UINT16BE",
62 "CFLOAT32", "CFLOAT32LE", "CFLOAT32BE", "CFLOAT64", "CFLOAT64LE", "CFLOAT64BE",
63 "INT8", "UINT8", "BIT", NULL };
64
65 OPTIONS = {
66 Option ("coord", "select coordinates", "extract data only at the coordinates specified.", false, true)
67 .append (Argument ("axis", "axis", "the axis of interest").type_integer (0, INT_MAX, 0))
68 .append (Argument ("coord", "coordinates", "the coordinates of interest").type_sequence_int()),
69
70 Option ("vox", "voxel size", "change the voxel dimensions.")
71 .append (Argument ("sizes", "new dimensions", "A comma-separated list of values. Only those values specified will be changed. For example: 1,,3.5 will change the voxel size along the x & z axes, and leave the y-axis voxel size unchanged.")
72 .type_sequence_float ()),
73
74 Option ("datatype", "data type", "specify output image data type.")
75 .append (Argument ("spec", "specifier", "the data type specifier.").type_choice (data_type_choices)),
76
77 Option ("scale", "scaling factor", "apply scaling to the intensity values.")
78 .append (Argument ("factor", "factor", "the factor by which to multiply the intensities.").type_float (NAN, NAN, 1.0)),
79
80 Option ("offset", "offset", "apply offset to the intensity values.")
81 .append (Argument ("bias", "bias", "the value of the offset.").type_float (NAN, NAN, 0.0)),
82
83 Option ("zero", "replace NaN by zero", "replace all NaN values with zero."),
84
85 Option ("output", "output type", "specify type of output")
86 .append (Argument ("type", "type", "type of output.")
87 .type_choice (type_choices)),
88
89 Option ("layout", "data layout", "specify the layout of the data in memory. The actual layout produced will depend on whether the output image format can support it.")
90 .append (Argument ("spec", "specifier", "the data layout specifier.").type_string ()),
91
92 Option ("prs", "DW gradient specified as PRS", "assume that the DW gradients are specified in the PRS frame (Siemens DICOM only)."),
93
94 Option::End
95 };
96
97
98
99 inline bool next (Image::Position& ref, Image::Position& other, const std::vector<int>* pos)
100 {
101 int axis = 0;
102 do {
103 ref.inc (axis);
104 if (ref[axis] < ref.dim(axis)) {
105 other.set (axis, pos[axis][ref[axis]]);
106 return (true);
107 }
108 ref.set (axis, 0);
109 other.set (axis, pos[axis][0]);
110 axis++;
111 } while (axis < ref.ndim());
112 return (false);
113 }
114
115
116
117
118
119 EXECUTE {
120 std::vector<OptBase> opt = get_options (1); // vox
121 std::vector<float> vox;
122 if (opt.size())
123 vox = parse_floats (opt[0][0].get_string());
124
125
126 opt = get_options (3); // scale
127 float scale = 1.0;
128 if (opt.size()) scale = opt[0][0].get_float();
129
130 opt = get_options (4); // offset
131 float offset = 0.0;
132 if (opt.size()) offset = opt[0][0].get_float();
133
134 opt = get_options (5); // zero
135 bool replace_NaN = opt.size();
136
137 opt = get_options (6); // output
138 Image::OutputType output_type = Image::Default;
139 if (opt.size()) {
140 switch (opt[0][0].get_int()) {
141 case 0: output_type = Image::Real; break;
142 case 1: output_type = Image::Imaginary; break;
143 case 2: output_type = Image::Magnitude; break;
144 case 3: output_type = Image::Phase; break;
145 case 4: output_type = Image::RealImag; break;
146 }
147 }
148
149
150
151
152 Image::Object &in_obj (*argument[0].get_image());
153
154 Image::Header header (in_obj);
155
156 if (output_type == 0) {
157 if (in_obj.is_complex()) output_type = Image::RealImag;
158 else output_type = Image::Default;
159 }
160
161 if (output_type == Image::RealImag) header.data_type = DataType::CFloat32;
162 else if (output_type == Image::Phase) header.data_type = DataType::Float32;
163 else header.data_type.unset_flag (DataType::ComplexNumber);
164
165
166 opt = get_options (2); // datatype
167 if (opt.size()) header.data_type.parse (data_type_choices[opt[0][0].get_int()]);
168
169 for (guint n = 0; n < vox.size(); n++)
170 if (isfinite (vox[n])) header.axes.vox[n] = vox[n];
171
172 opt = get_options (7); // layout
173 if (opt.size()) {
174 std::vector<Image::Axis> ax = parse_axes_specifier (header.axes, opt[0][0].get_string());
175 if (ax.size() != (guint) header.axes.ndim())
176 throw Exception (String("specified layout \"") + opt[0][0].get_string() + "\" does not match image dimensions");
177
178 for (guint i = 0; i < ax.size(); i++) {
179 header.axes.axis[i] = ax[i].axis;
180 header.axes.forward[i] = ax[i].forward;
181 }
182 }
183
184
185 opt = get_options (8); // prs
186 if (opt.size() && header.DW_scheme.rows() && header.DW_scheme.columns()) {
187 for (guint row = 0; row < header.DW_scheme.rows(); row++) {
188 double tmp = header.DW_scheme(row, 0);
189 header.DW_scheme(row, 0) = header.DW_scheme(row, 1);
190 header.DW_scheme(row, 1) = tmp;
191 header.DW_scheme(row, 2) = -header.DW_scheme(row, 2);
192 }
193 }
194
195 std::vector<int> pos[in_obj.ndim()];
196
197 opt = get_options (0); // coord
198 for (guint n = 0; n < opt.size(); n++) {
199 int axis = opt[n][0].get_int();
200 if (pos[axis].size()) throw Exception ("\"coord\" option specified twice for axis " + str (axis));
201 pos[axis] = parse_ints (opt[n][1].get_string(), header.dim(axis)-1);
202 header.axes.dim[axis] = pos[axis].size();
203 }
204
205 for (int n = 0; n < in_obj.ndim(); n++) {
206 if (pos[n].empty()) {
207 pos[n].resize (in_obj.dim(n));
208 for (guint i = 0; i < pos[n].size(); i++) pos[n][i] = i;
209 }
210 }
211
212
213 in_obj.apply_scaling (scale, offset);
214
215
216
217
218
219
220 Image::Position in (in_obj);
221 Image::Position out (*argument[1].get_image (header));
222
223 for (int n = 0; n < in.ndim(); n++) in.set (n, pos[n][0]);
224
225 ProgressBar::init (out.voxel_count(), "copying data...");
226
227 do {
228
229 float re, im = 0.0;
230 in.get (output_type, re, im);
231 if (replace_NaN) if (gsl_isnan (re)) re = 0.0;
232 out.re (re);
233
234 if (output_type == Image::RealImag) {
235 if (replace_NaN) if (gsl_isnan (im)) im = 0.0;
236 out.im (im);
237 }
238
239 ProgressBar::inc();
240 } while (next (out, in, pos));
241
242 ProgressBar::done();
243 }
As was noted in the comments, EXECUTE seems to be a macro, apparent from the context a function header (and maybe a bit more, e.g. some global variables and functions), so the part in curly braces is the function body.
To get to the definition of EXECUTE, you will have to examine the headers.
However, if you can reach some part of the code during debugging, you could insert a string or char[] at that point, giving it the stringified version of EXECUTE, so you get whatever the preprocessor will emit for EXECUTE at that position in the code.
#define STR(x) #x
#define STRINGIFY(x) STR(x)
char c[] = STRINGIFY(EXECUTE);
the two macros are a known little macro trick to get the content of any macro as a string literal. Try it out and inspect the char array in your debugger to get the content of execute.
My wild guess here: EXECUTE is the main function or a replacement for it, the OPTIONS and ARGUMENTS describe what arguments the program expects and what command line options you can pass to it. Those macros and some of the used functions and variables (get_options, argument) are part of a little framework that should facilitate the usage, evaluation and user information about command line options.