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<h1>qwt_scldiv.cpp</h1><pre class="fragment"><div>00001 <span class="comment">/* -*- mode: C++ ; c-file-style: "stroustrup" -*- *****************************</span>
00002 <span class="comment"> * Qwt Widget Library</span>
00003 <span class="comment"> * Copyright (C) 1997 Josef Wilgen</span>
00004 <span class="comment"> * Copyright (C) 2002 Uwe Rathmann</span>
00005 <span class="comment"> * </span>
00006 <span class="comment"> * This library is free software; you can redistribute it and/or</span>
00007 <span class="comment"> * modify it under the terms of the Qwt License, Version 1.0</span>
00008 <span class="comment"> *****************************************************************************/</span>
00009
00010 <span class="preprocessor">#include "qwt_scldiv.h"</span>
00011 <span class="preprocessor">#include "<a class="code" href="qwt__math_8h.html">qwt_math.h</a>"</span>
00012
00013 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> step_eps = 1.0e-3;
00014 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> border_eps = 1.0e-10;
00015
00016 <span class="keyword">static</span> <span class="keywordtype">bool</span> qwtLimRange(<span class="keywordtype">double</span> &val, <span class="keywordtype">double</span> v1, <span class="keywordtype">double</span> v2,
00017 <span class="keywordtype">double</span> eps_rel = 0.0, <span class="keywordtype">double</span> eps_abs = 0.0)
00018 {
00019 <span class="keywordtype">bool</span> rv = TRUE;
00020 <span class="keywordtype">double</span> vmin = qwtMin(v1, v2);
00021 <span class="keywordtype">double</span> vmax = qwtMax(v1, v2);
00022 <span class="keywordtype">double</span> delta_min = qwtMax(qwtAbs(eps_rel * vmin), qwtAbs(eps_abs));
00023 <span class="keywordtype">double</span> delta_max = qwtMax(qwtAbs(eps_rel * vmax), qwtAbs(eps_abs));
00024
00025 <span class="keywordflow">if</span> (val < vmin)
00026 {
00027 <span class="keywordflow">if</span> (val < vmin - delta_min)
00028 rv = FALSE;
00029 val = vmin;
00030 }
00031 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (val > vmax)
00032 {
00033 <span class="keywordflow">if</span> (val > vmax + delta_max)
00034 rv = FALSE;
00035 val = vmax;
00036 }
00037 <span class="keywordflow">return</span> rv;
00038 }
00039
00040
<a name="l00042"></a><a class="code" href="class_qwt_scale_div.html#a0">00042</a> <a class="code" href="class_qwt_scale_div.html#a0">QwtScaleDiv::QwtScaleDiv</a>()
00043 {
00044 d_lBound = 0.0;
00045 d_hBound = 0.0;
00046 d_majStep = 0.0;
00047 d_log = FALSE;
00048 }
00049
<a name="l00086"></a><a class="code" href="class_qwt_scale_div.html#a12">00086</a> <span class="keywordtype">bool</span> <a class="code" href="class_qwt_scale_div.html#a12">QwtScaleDiv::rebuild</a>(<span class="keywordtype">double</span> x1, <span class="keywordtype">double</span> x2,
00087 <span class="keywordtype">int</span> maxMajSteps, <span class="keywordtype">int</span> maxMinSteps, <span class="keywordtype">bool</span> log, <span class="keywordtype">double</span> step, <span class="keywordtype">bool</span> ascend)
00088 {
00089 <span class="keywordtype">int</span> rv;
00090
00091 d_lBound = qwtMin(x1, x2);
00092 d_hBound = qwtMax(x1, x2);
00093 d_log = log;
00094
00095 <span class="keywordflow">if</span> (d_log)
00096 rv = buildLogDiv(maxMajSteps,maxMinSteps,step);
00097 <span class="keywordflow">else</span>
00098 rv = buildLinDiv(maxMajSteps, maxMinSteps, step);
00099
00100 <span class="keywordflow">if</span> ((!ascend) && (x2 < x1))
00101 {
00102 d_lBound = x1;
00103 d_hBound = x2;
00104 qwtTwistArray(d_majMarks.data(), d_majMarks.size());
00105 qwtTwistArray(d_minMarks.data(), d_minMarks.size());
00106 }
00107
00108 <span class="keywordflow">return</span> rv;
00109 }
00110
00129 <span class="keywordtype">bool</span> QwtScaleDiv::buildLinDiv(<span class="keywordtype">int</span> maxMajSteps, <span class="keywordtype">int</span> maxMinSteps, <span class="keywordtype">double</span> step)
00130 {
00131 <span class="keywordtype">int</span> nMaj, nMin, minSize, i0,i,k;
00132 <span class="keywordtype">double</span> val, mval;
00133 <span class="keywordtype">double</span> firstTick, lastTick;
00134 <span class="keywordtype">double</span> minStep;
00135 QwtArray<double> buffer;
00136 <span class="keywordtype">bool</span> rv = TRUE;
00137
00138 <span class="comment">// parameter range check</span>
00139 maxMajSteps = qwtMax(1, maxMajSteps);
00140 maxMinSteps = qwtMax(0, maxMinSteps);
00141 step = qwtAbs(step);
00142
00143 <span class="comment">// detach arrays</span>
00144 d_majMarks.duplicate(0,0);
00145 d_minMarks.duplicate(0,0);
00146
00147 <span class="keywordflow">if</span> (d_lBound == d_hBound) <span class="keywordflow">return</span> TRUE;
00148
00149 <span class="comment">//</span>
00150 <span class="comment">// Set up major divisions</span>
00151 <span class="comment">//</span>
00152 <span class="keywordflow">if</span> (step == 0.0)
00153 d_majStep = qwtCeil125(qwtAbs(d_hBound - d_lBound) * 0.999999
00154 / <span class="keywordtype">double</span>(maxMajSteps));
00155 <span class="keywordflow">else</span>
00156 d_majStep = step;
00157
00158 <span class="keywordflow">if</span> (d_majStep == 0.0) <span class="keywordflow">return</span> TRUE;
00159
00160 firstTick = ceil( (d_lBound - step_eps * d_majStep) / d_majStep) * d_majStep;
00161 lastTick = floor( (d_hBound + step_eps * d_majStep) / d_majStep) * d_majStep;
00162
00163 nMaj = qwtMin(10000, <span class="keywordtype">int</span>(floor ((lastTick - firstTick) / d_majStep + 0.5)) + 1);
00164
00165 <span class="keywordflow">if</span> ((rv = d_majMarks.resize(nMaj)))
00166 qwtLinSpace(d_majMarks.data(), d_majMarks.size(), firstTick, lastTick);
00167 <span class="keywordflow">else</span>
00168 <span class="keywordflow">return</span> FALSE;
00169
00170 <span class="comment">//</span>
00171 <span class="comment">// Set up minor divisions</span>
00172 <span class="comment">//</span>
00173 <span class="keywordflow">if</span> (maxMinSteps < 1) <span class="comment">// no minor divs</span>
00174 <span class="keywordflow">return</span> TRUE;
00175
00176 minStep = qwtCeil125( d_majStep / <span class="keywordtype">double</span>(maxMinSteps) );
00177
00178 <span class="keywordflow">if</span> (minStep == 0.0) <span class="keywordflow">return</span> TRUE;
00179
00180 nMin = qwtAbs(<span class="keywordtype">int</span>(floor(d_majStep / minStep + 0.5))) - 1; <span class="comment">// # minor steps per interval</span>
00181
00182 <span class="comment">// Do the minor steps fit into the interval?</span>
00183 <span class="keywordflow">if</span> ( qwtAbs(<span class="keywordtype">double</span>(nMin + 1) * minStep - d_majStep)
00184 > step_eps * d_majStep)
00185 {
00186 nMin = 1;
00187 minStep = d_majStep * 0.5;
00188 }
00189
00190 <span class="comment">// Are there minor ticks below the first major tick?</span>
00191 <span class="keywordflow">if</span> (d_majMarks[0] > d_lBound )
00192 i0 = -1;
00193 <span class="keywordflow">else</span>
00194 i0 = 0;
00195
00196 <span class="comment">// resize buffer to the maximum possible number of minor ticks</span>
00197 rv = buffer.resize(nMin * (nMaj + 1));
00198
00199 <span class="comment">// calculate minor ticks</span>
00200 <span class="keywordflow">if</span> (rv)
00201 {
00202 minSize = 0;
00203 <span class="keywordflow">for</span> (i = i0; i < (<span class="keywordtype">int</span>)d_majMarks.size(); i++)
00204 {
00205 <span class="keywordflow">if</span> (i >= 0)
00206 val = d_majMarks[i];
00207 <span class="keywordflow">else</span>
00208 val = d_majMarks[0] - d_majStep;
00209
00210 <span class="keywordflow">for</span> (k=0; k< nMin; k++)
00211 {
00212 mval = (val += minStep);
00213 <span class="keywordflow">if</span> (qwtLimRange(mval, d_lBound, d_hBound, border_eps))
00214 {
00215 buffer[minSize] = mval;
00216 minSize++;
00217 }
00218 }
00219 }
00220 d_minMarks.duplicate(buffer.data(), minSize);
00221 }
00222
00223 <span class="keywordflow">return</span> rv;
00224 }
00225
00232 <span class="keywordtype">bool</span> QwtScaleDiv::buildLogDiv(<span class="keywordtype">int</span> maxMajSteps, <span class="keywordtype">int</span> maxMinSteps, <span class="keywordtype">double</span> majStep)
00233 {
00234 <span class="keywordtype">double</span> firstTick, lastTick;
00235 <span class="keywordtype">double</span> lFirst, lLast;
00236 <span class="keywordtype">double</span> val, sval, minStep, minFactor;
00237 <span class="keywordtype">int</span> nMaj, nMin, minSize, i, k, k0, kstep, kmax, i0;
00238 <span class="keywordtype">int</span> rv = TRUE;
00239 <span class="keywordtype">double</span> width;
00240
00241 QwtArray<double> buffer;
00242
00243
00244 <span class="comment">// Parameter range check</span>
00245 maxMajSteps = qwtMax(1, qwtAbs(maxMajSteps));
00246 maxMinSteps = qwtMax(0, qwtAbs(maxMinSteps));
00247 majStep = qwtAbs(majStep);
00248
00249 <span class="comment">// boundary check</span>
00250 qwtLimRange(d_hBound, LOG_MIN, LOG_MAX);
00251 qwtLimRange(d_lBound, LOG_MIN, LOG_MAX);
00252
00253 <span class="comment">// detach arrays</span>
00254 d_majMarks.duplicate(0,0);
00255 d_minMarks.duplicate(0,0);
00256
00257 <span class="keywordflow">if</span> (d_lBound == d_hBound) <span class="keywordflow">return</span> TRUE;
00258
00259 <span class="comment">// scale width in decades</span>
00260 width = log10(d_hBound) - log10(d_lBound);
00261
00262 <span class="comment">// scale width is less than one decade -> build linear scale</span>
00263 <span class="keywordflow">if</span> (width < 1.0)
00264 {
00265 rv = buildLinDiv(maxMajSteps, maxMinSteps, 0.0);
00266 <span class="comment">// convert step width to decades</span>
00267 <span class="keywordflow">if</span> (d_majStep > 0)
00268 d_majStep = log10(d_majStep);
00269
00270 <span class="keywordflow">return</span> rv;
00271 }
00272
00273 <span class="comment">//</span>
00274 <span class="comment">// Set up major scale divisions</span>
00275 <span class="comment">//</span>
00276 <span class="keywordflow">if</span> (majStep == 0.0)
00277 d_majStep = qwtCeil125( width * 0.999999 / <span class="keywordtype">double</span>(maxMajSteps));
00278 <span class="keywordflow">else</span>
00279 d_majStep = majStep;
00280
00281 <span class="comment">// major step must be >= 1 decade</span>
00282 d_majStep = qwtMax(d_majStep, 1.0);
00283
00284
00285 lFirst = ceil((log10(d_lBound) - step_eps * d_majStep) / d_majStep) * d_majStep;
00286 lLast = floor((log10(d_hBound) + step_eps * d_majStep) / d_majStep) * d_majStep;
00287
00288 firstTick = pow(10.0, lFirst);
00289 lastTick = pow(10.0, lLast);
00290
00291 nMaj = qwtMin(10000, <span class="keywordtype">int</span>(floor (qwtAbs(lLast - lFirst) / d_majStep + 0.5)) + 1);
00292
00293 <span class="keywordflow">if</span> (d_majMarks.resize(nMaj))
00294 qwtLogSpace(d_majMarks.data(), d_majMarks.size(), firstTick, lastTick);
00295 <span class="keywordflow">else</span>
00296 <span class="keywordflow">return</span> FALSE;
00297
00298
00299 <span class="comment">//</span>
00300 <span class="comment">// Set up minor scale divisions</span>
00301 <span class="comment">//</span>
00302
00303 <span class="keywordflow">if</span> ((d_majMarks.size() < 1) || (maxMinSteps < 1)) <span class="keywordflow">return</span> TRUE; <span class="comment">// no minor marks</span>
00304
00305 <span class="keywordflow">if</span> (d_majStep < 1.1) <span class="comment">// major step width is one decade</span>
00306 {
00307 <span class="keywordflow">if</span> (maxMinSteps >= 8)
00308 {
00309 k0 = 2;
00310 kmax = 9;
00311 kstep = 1;
00312 minSize = (d_majMarks.size() + 1) * 8;
00313 }
00314 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (maxMinSteps >= 4)
00315 {
00316 k0 = 2;
00317 kmax = 8;
00318 kstep = 2;
00319 minSize = (d_majMarks.size() + 1) * 4;
00320 }
00321 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (maxMinSteps >= 2)
00322 {
00323 k0 = 2;
00324 kmax = 5;
00325 kstep = 3;
00326 minSize = (d_majMarks.size() + 1) * 2;
00327 }
00328 <span class="keywordflow">else</span>
00329 {
00330 k0 = 5;
00331 kmax = 5;
00332 kstep = 1;
00333 minSize = (d_majMarks.size() + 1);
00334 }
00335
00336 <span class="comment">// resize buffer to the max. possible number of minor marks</span>
00337 buffer.resize(minSize);
00338
00339 <span class="comment">// Are there minor ticks below the first major tick?</span>
00340 <span class="keywordflow">if</span> ( d_lBound < firstTick )
00341 i0 = -1;
00342 <span class="keywordflow">else</span>
00343 i0 = 0;
00344
00345 minSize = 0;
00346 <span class="keywordflow">for</span> (i = i0; i< (<span class="keywordtype">int</span>)d_majMarks.size(); i++)
00347 {
00348 <span class="keywordflow">if</span> (i >= 0)
00349 val = d_majMarks[i];
00350 <span class="keywordflow">else</span>
00351 val = d_majMarks[0] / pow(10.0, d_majStep);
00352
00353 <span class="keywordflow">for</span> (k=k0; k<= kmax; k+=kstep)
00354 {
00355 sval = val * double(k);
00356 <span class="keywordflow">if</span> (qwtLimRange(sval, d_lBound, d_hBound, border_eps))
00357 {
00358 buffer[minSize] = sval;
00359 minSize++;
00360 }
00361 }
00362 }
00363
00364 <span class="comment">// copy values into the minMarks array</span>
00365 d_minMarks.duplicate(buffer.data(), minSize);
00366
00367 }
00368 <span class="keywordflow">else</span> <span class="comment">// major step > one decade</span>
00369 {
00370
00371 <span class="comment">// substep width in decades, at least one decade</span>
00372 minStep = qwtCeil125( (d_majStep - step_eps * (d_majStep / <span class="keywordtype">double</span>(maxMinSteps)))
00373 / <span class="keywordtype">double</span>(maxMinSteps) );
00374 minStep = qwtMax(1.0, minStep);
00375
00376 <span class="comment">// # subticks per interval</span>
00377 nMin = int(floor (d_majStep / minStep + 0.5)) - 1;
00378
00379 <span class="comment">// Do the minor steps fit into the interval?</span>
00380 <span class="keywordflow">if</span> ( qwtAbs( <span class="keywordtype">double</span>(nMin + 1) * minStep - d_majStep) > step_eps * d_majStep)
00381 nMin = 0;
00382
00383 <span class="keywordflow">if</span> (nMin < 1) <span class="keywordflow">return</span> TRUE; <span class="comment">// no subticks</span>
00384
00385 <span class="comment">// resize buffer to max. possible number of subticks</span>
00386 buffer.resize((d_majMarks.size() + 1) * nMin );
00387
00388 <span class="comment">// substep factor = 10^substeps</span>
00389 minFactor = qwtMax(pow(10.0, minStep), 10.0);
00390
00391 <span class="comment">// Are there minor ticks below the first major tick?</span>
00392 <span class="keywordflow">if</span> ( d_lBound < firstTick )
00393 i0 = -1;
00394 <span class="keywordflow">else</span>
00395 i0 = 0;
00396
00397 minSize = 0;
00398 <span class="keywordflow">for</span> (i = i0; i< (<span class="keywordtype">int</span>)d_majMarks.size(); i++)
00399 {
00400 <span class="keywordflow">if</span> (i >= 0)
00401 val = d_majMarks[i];
00402 <span class="keywordflow">else</span>
00403 val = firstTick / pow(10.0, d_majStep);
00404
00405 <span class="keywordflow">for</span> (k=0; k< nMin; k++)
00406 {
00407 sval = (val *= minFactor);
00408 <span class="keywordflow">if</span> (qwtLimRange(sval, d_lBound, d_hBound, border_eps))
00409 {
00410 buffer[minSize] = sval;
00411 minSize++;
00412 }
00413 }
00414 }
00415 d_minMarks.duplicate(buffer.data(), minSize);
00416 }
00417
00418 <span class="keywordflow">return</span> rv;
00419 }
00420
<a name="l00425"></a><a class="code" href="class_qwt_scale_div.html#a1">00425</a> <span class="keywordtype">int</span> <a class="code" href="class_qwt_scale_div.html#a1">QwtScaleDiv::operator==</a>(<span class="keyword">const</span> <a class="code" href="class_qwt_scale_div.html">QwtScaleDiv</a> &s)<span class="keyword"> const</span>
00426 <span class="keyword"></span>{
00427 <span class="keywordflow">if</span> (d_lBound != s.<a class="code" href="class_qwt_scale_div.html#r0">d_lBound</a>) <span class="keywordflow">return</span> 0;
00428 <span class="keywordflow">if</span> (d_hBound != s.<a class="code" href="class_qwt_scale_div.html#r1">d_hBound</a>) <span class="keywordflow">return</span> 0;
00429 <span class="keywordflow">if</span> (d_log != s.<a class="code" href="class_qwt_scale_div.html#r3">d_log</a>) <span class="keywordflow">return</span> 0;
00430 <span class="keywordflow">if</span> (d_majStep != s.<a class="code" href="class_qwt_scale_div.html#r2">d_majStep</a>) <span class="keywordflow">return</span> 0;
00431 <span class="keywordflow">if</span> (d_majMarks != s.<a class="code" href="class_qwt_scale_div.html#r4">d_majMarks</a>) <span class="keywordflow">return</span> 0;
00432 <span class="keywordflow">return</span> (d_minMarks == s.<a class="code" href="class_qwt_scale_div.html#r5">d_minMarks</a>);
00433 }
00434
<a name="l00439"></a><a class="code" href="class_qwt_scale_div.html#a2">00439</a> <span class="keywordtype">int</span> <a class="code" href="class_qwt_scale_div.html#a2">QwtScaleDiv::operator!=</a>(<span class="keyword">const</span> <a class="code" href="class_qwt_scale_div.html">QwtScaleDiv</a> &s)<span class="keyword"> const</span>
00440 <span class="keyword"></span>{
00441 <span class="keywordflow">return</span> (!(*<span class="keyword">this</span> == s));
00442 }
00443
<a name="l00445"></a><a class="code" href="class_qwt_scale_div.html#a11">00445</a> <span class="keywordtype">void</span> <a class="code" href="class_qwt_scale_div.html#a11">QwtScaleDiv::reset</a>()
00446 {
00447 <span class="comment">// detach arrays</span>
00448 d_majMarks.duplicate(0,0);
00449 d_minMarks.duplicate(0,0);
00450
00451 d_lBound = 0.0;
00452 d_hBound = 0.0;
00453 d_majStep = 0.0;
00454 d_log = FALSE;
00455 }
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