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authorSimon Thum <simon.thum@gmx.de>2008-07-10 22:33:39 +0930
committerPeter Hutterer <peter.hutterer@who-t.net>2008-07-13 20:54:33 +0930
commitc9eb0e870c87d291311491452adf7f91a911e24b (patch)
tree0d8f5c9ff2ba7d17bf8574ace0d440f5e82c4e3e /dix/ptrveloc.c
parente7abe1676a6a4e4249504b8c9660cbad70569199 (diff)
Add support for multiple pointer acceleration schemes. #8583
Available acceleration schemes: - xorg classic scheme. - the new "Predictable" polynomial accel scheme. X.Org Bug 8583 <http://bugs.freedesktop.org/show_bug.cgi?id=8583> Signed-off-by: Peter Hutterer <peter.hutterer@who-t.net>
Diffstat (limited to 'dix/ptrveloc.c')
-rw-r--r--dix/ptrveloc.c759
1 files changed, 759 insertions, 0 deletions
diff --git a/dix/ptrveloc.c b/dix/ptrveloc.c
new file mode 100644
index 000000000..9e66ab822
--- /dev/null
+++ b/dix/ptrveloc.c
@@ -0,0 +1,759 @@
+
+#ifdef HAVE_DIX_CONFIG_H
+#include <dix-config.h>
+#endif
+
+#include <math.h>
+#include <ptrveloc.h>
+#include <inputstr.h>
+#include <assert.h>
+
+/*****************************************************************************
+ * Predictable pointer ballistics
+ *
+ * 2006-2008 by Simon Thum (simon [dot] thum [at] gmx de)
+ *
+ * Serves 3 complementary functions:
+ * 1) provide a sophisticated ballistic velocity estimate to improve
+ * the relation between velocity (of the device) and acceleration
+ * 2) make arbitrary acceleration profiles possible
+ * 3) decelerate by two means (constant and adaptive) if enabled
+ *
+ * Important concepts are the
+ *
+ * - Scheme
+ * which selects the basic algorithm
+ * (see devices.c/InitPointerAccelerationScheme)
+ * - Profile
+ * which returns an acceleration
+ * for a given velocity
+ *
+ * The profile can be selected by the user (potentially at runtime).
+ * the classic profile is intended to cleanly perform old-style
+ * function selection (threshold =/!= 0)
+ *
+ ****************************************************************************/
+
+/* fwds */
+static inline void
+FeedFilterStage(FilterStagePtr s, float value, int tdiff);
+extern void
+InitFilterStage(FilterStagePtr s, float rdecay, int lutsize);
+void
+CleanupFilterChain(DeviceVelocityPtr s);
+int
+SetAccelerationProfile(DeviceVelocityPtr s, int profile_num);
+void
+InitFilterChain(DeviceVelocityPtr s, float rdecay, float degression,
+ int stages, int lutsize);
+void
+CleanupFilterChain(DeviceVelocityPtr s);
+static float
+SimpleSmoothProfile(DeviceVelocityPtr pVel, float threshold, float acc);
+
+
+/********************************
+ * Init/Uninit etc
+ *******************************/
+
+/**
+ * Init struct so it should match the average case
+ */
+void
+InitVelocityData(DeviceVelocityPtr s)
+{
+ s->lrm_time = 0;
+ s->velocity = 0;
+ s->corr_mul = 10.0; /* dots per 10 milisecond should be usable */
+ s->const_acceleration = 1.0; /* no acceleration/deceleration */
+ s->reset_time = 300;
+ s->last_dx = 0;
+ s->last_dy = 0;
+ s->use_softening = 1;
+ s->min_acceleration = 1.0; /* don't decelerate */
+ s->coupling = 0.2;
+ s->profile_private = NULL;
+ memset(&s->statistics, 0, sizeof(s->statistics));
+ memset(&s->filters, 0, sizeof(s->filters));
+ SetAccelerationProfile(s, 0);
+ InitFilterChain(s, (float)1.0/20.0, 1, 1, 40);
+}
+
+
+/**
+ * Clean up
+ */
+static void
+FreeVelocityData(DeviceVelocityPtr s){
+ CleanupFilterChain(s);
+ SetAccelerationProfile(s, -1);
+}
+
+
+/*
+ * dix uninit helper, called through scheme
+ */
+void
+AccelerationDefaultCleanup(DeviceIntPtr pDev){
+ /*sanity check*/
+ if( pDev->valuator->accelScheme.AccelSchemeProc == acceleratePointerPredictable
+ && pDev->valuator->accelScheme.accelData != NULL){
+ pDev->valuator->accelScheme.AccelSchemeProc = NULL;
+ FreeVelocityData(pDev->valuator->accelScheme.accelData);
+ xfree(pDev->valuator->accelScheme.accelData);
+ pDev->valuator->accelScheme.accelData = NULL;
+ }
+}
+
+/*********************
+ * Filtering logic
+ ********************/
+
+/**
+Initialize a filter chain.
+Expected result is a series of filters, each progressively more integrating.
+*/
+void
+InitFilterChain(DeviceVelocityPtr s, float rdecay, float progression, int stages, int lutsize)
+{
+ int fn;
+ if((stages > 1 && progression < 1.0f) || 0 == progression){
+ ErrorF("(dix ptracc) invalid filter chain progression specified\n");
+ return;
+ }
+ for(fn = 0; fn < MAX_VELOCITY_FILTERS; fn++){
+ if(fn < stages){
+ InitFilterStage(&s->filters[fn], rdecay, lutsize);
+ }else{
+ InitFilterStage(&s->filters[fn], 0, 0);
+ }
+ rdecay /= progression;
+ }
+}
+
+
+void
+CleanupFilterChain(DeviceVelocityPtr s)
+{
+ int fn;
+
+ for(fn = 0; fn < MAX_VELOCITY_FILTERS; fn++)
+ InitFilterStage(&s->filters[fn], 0, 0);
+}
+
+
+/**
+ * Adjust weighting decay and lut in sync
+ * The weight fn is designed so its integral 0->inf is unity, so we end
+ * up with a stable (basically IIR) filter. It always draws
+ * towards its more current input values, which have more weight the older
+ * the last input value is.
+ */
+void
+InitFilterStage(FilterStagePtr s, float rdecay, int lutsize)
+{
+ int x;
+ float *newlut;
+ float *oldlut;
+
+ s->fading_lut_size = 0; /* prevent access */
+ /* mb(); concurrency issues may arise */
+
+ if(lutsize > 0){
+ newlut = xalloc (sizeof(float)* lutsize);
+ if(!newlut)
+ return;
+ for(x = 0; x < lutsize; x++)
+ newlut[x] = pow(0.5, ((float)x) * rdecay);
+ }else{
+ newlut = NULL;
+ }
+ oldlut = s->fading_lut;
+ s->fading_lut = newlut;
+ s->rdecay = rdecay;
+ s->fading_lut_size = lutsize;
+ s->current = 0;
+ if(oldlut != NULL)
+ xfree(oldlut);
+}
+
+
+static inline void
+FeedFilterChain(DeviceVelocityPtr s, float value, int tdiff)
+{
+ int fn;
+
+ for(fn = 0; fn < MAX_VELOCITY_FILTERS; fn++){
+ if(s->filters[fn].rdecay != 0)
+ FeedFilterStage(&s->filters[fn], value, tdiff);
+ else break;
+ }
+}
+
+
+static inline void
+FeedFilterStage(FilterStagePtr s, float value, int tdiff){
+ float fade;
+ if(tdiff < s->fading_lut_size)
+ fade = s->fading_lut[tdiff];
+ else
+ fade = pow(0.5, ((float)tdiff) * s->rdecay);
+ s->current *= fade; /* fade out old velocity */
+ s->current += value * (1.0f - fade); /* and add up current */
+}
+
+/**
+ * Select the most filtered matching result. Also, the first
+ * mismatching filter will be set to value (coupling).
+ */
+static inline float
+QueryFilterChain(
+ DeviceVelocityPtr s,
+ float value,
+ float maxdiv)
+{
+ int fn, rfn = 0, cfn = -1;
+ float cur, result = value;
+
+ /* try to retrieve most integrated result 'within range'
+ * Assumption: filter are in order least to most integrating */
+ for(fn = 0; fn < MAX_VELOCITY_FILTERS; fn++){
+ if(0.0f == s->filters[fn].rdecay)
+ break;
+ cur = s->filters[fn].current;
+
+ if (fabs(value - cur) <= 1.0f ||
+ fabs(value - cur) / (value + cur) <= maxdiv){
+ result = cur;
+ rfn = fn; /*remember result determining filter */
+ } else if(cfn == -1){
+ cfn = fn; /* rememeber first mismatching filter */
+ }
+ }
+
+ s->statistics.filter_usecount[rfn]++;
+ DebugF("(dix ptraccel) result from filter stage %i, input %.2f, output %.2f\n", rfn, value, result);
+
+ /* override one current (coupling) so the filter
+ * catches up quickly. */
+ if(cfn != -1)
+ s->filters[cfn].current = result;
+
+ return result;
+}
+
+/********************************
+ * velocity computation
+ *******************************/
+
+/**
+ * return the axis if mickey is insignificant and axis-aligned,
+ * -1 otherwise
+ * 1 for x-axis
+ * 2 for y-axis
+ */
+static inline short
+GetAxis(int dx, int dy){
+ if(dx == 0 || dy == 0){
+ if(dx == 1 || dx == -1)
+ return 1;
+ if(dy == 1 || dy == -1)
+ return 2;
+ return -1;
+ }else{
+ return -1;
+ }
+}
+
+
+/**
+ * Perform velocity approximation
+ * return true if non-visible state reset is suggested
+ */
+static short
+ProcessVelocityData(DeviceVelocityPtr s, int dx, int dy, int time)
+{
+ float cvelocity;
+
+ int diff = time - s->lrm_time;
+ int cur_ax = GetAxis(dx, dy);
+ int last_ax = GetAxis(s->last_dx, s->last_dy);
+ short reset = (diff >= s->reset_time);
+
+ if(cur_ax != last_ax && cur_ax != -1 && last_ax != -1 && !reset){
+ /* correct for the error induced when diagonal movements are
+ reported as alternating axis mickeys */
+ dx += s->last_dx;
+ dy += s->last_dy;
+ diff += s->last_diff;
+ s->last_diff = time - s->lrm_time; /* prevent repeating add-up */
+ DebugF("(dix ptracc) axial correction\n");
+ }else{
+ s->last_diff = diff;
+ }
+
+ /*
+ * cvelocity is not a real velocity yet, more a motion delta. contant
+ * acceleration is multiplied here to make the velocity an on-screen
+ * velocity (px/t as opposed to [insert unit]/t). This is intended to
+ * make multiple devices with widely varying ConstantDecelerations respond
+ * similar to acceleration controls.
+ */
+ cvelocity = (float)sqrt(dx*dx + dy*dy) * s->const_acceleration;
+
+ s->lrm_time = time;
+
+ if (s->reset_time < 0 || diff < 0) { /* disabled or timer overrun? */
+ /* simply set velocity from current movement, no reset. */
+ s->velocity = cvelocity;
+ return 0;
+ }
+
+ if (diff == 0)
+ diff = 1; /* prevent div-by-zero, though it shouldn't happen anyway*/
+
+ /* translate velocity to dots/ms (somewhat untractable in integers,
+ so we multiply by some per-device adjustable factor) */
+ cvelocity = cvelocity * s->corr_mul / (float)diff;
+
+ /* short-circuit: when nv-reset the rest can be skipped */
+ if(reset == TRUE){
+ s->velocity = cvelocity;
+ return TRUE;
+ }
+
+ /* feed into filter chain */
+ FeedFilterChain(s, cvelocity, diff);
+
+ /* perform coupling and decide final value */
+ s->velocity = QueryFilterChain(s, cvelocity, s->coupling);
+
+ DebugF("(dix ptracc) guess: vel=%.3f diff=%d |%i|%i|%i|%i|\n",
+ s->velocity, diff,
+ s->statistics.filter_usecount[0], s->statistics.filter_usecount[1], s->statistics.filter_usecount[2], s->statistics.filter_usecount[3]);
+ return reset;
+}
+
+
+/**
+ * this flattens significant ( > 1) mickeys a little bit for more steady
+ * constant-velocity response
+ */
+static inline float
+ApplySimpleSoftening(int od, int d)
+{
+ float res = d;
+ if (d <= 1 && d >= -1)
+ return res;
+ if (d > od)
+ res -= 0.5;
+ else if (d < od)
+ res += 0.5;
+ return res;
+}
+
+
+static void
+ApplySofteningAndConstantDeceleration(
+ DeviceVelocityPtr s,
+ int dx,
+ int dy,
+ float* fdx,
+ float* fdy,
+ short do_soften)
+{
+ if (do_soften && s->use_softening) {
+ *fdx = ApplySimpleSoftening(s->last_dx, dx);
+ *fdy = ApplySimpleSoftening(s->last_dy, dy);
+ } else {
+ *fdx = dx;
+ *fdy = dy;
+ }
+
+ *fdx *= s->const_acceleration;
+ *fdy *= s->const_acceleration;
+}
+
+
+
+/*****************************************
+ * Acceleration functions and profiles
+ ****************************************/
+
+/**
+ * Polynomial function similar previous one, but with f(1) = 1
+ */
+static float
+PolynomialAccelerationProfile(DeviceVelocityPtr pVel, float ignored, float acc)
+{
+ return pow(pVel->velocity, (acc - 1.0) * 0.5);
+}
+
+
+/**
+ * returns acceleration for velocity.
+ * This profile selects the two functions like the old scheme did
+ */
+static float
+ClassicProfile(
+ DeviceVelocityPtr pVel,
+ float threshold,
+ float acc)
+{
+
+ if (threshold) {
+ return SimpleSmoothProfile (pVel,
+ threshold,
+ acc);
+ } else {
+ return PolynomialAccelerationProfile (pVel,
+ 0,
+ acc);
+ }
+}
+
+
+/**
+ * Power profile
+ * This has a completely smooth transition curve, i.e. no jumps in the
+ * derivatives.
+ *
+ * This has the expense of overall response dependency on min-acceleration.
+ * In effect, min_acceleration mimics const_acceleration in this profile.
+ */
+static float
+PowerProfile(
+ DeviceVelocityPtr pVel,
+ float threshold,
+ float acc)
+{
+ float vel_dist;
+
+ acc = (acc-1.0) * 0.1f + 1.0; /* without this, acc of 2 is unuseable */
+
+ if (pVel->velocity <= threshold)
+ return pVel->min_acceleration;
+ vel_dist = pVel->velocity - threshold;
+ return (pow(acc, vel_dist)) * pVel->min_acceleration;
+}
+
+
+/**
+ * just a smooth function in [0..1] -> [0..1]
+ * - point symmetry at 0.5
+ * - f'(0) = f'(1) = 0
+ * - starts faster than sinoids, C1 (Cinf if you dare to ignore endpoints)
+ */
+static inline float
+CalcPenumbralGradient(float x){
+ x *= 2.0f;
+ x -= 1.0f;
+ return 0.5f + (x * sqrt(1.0f - x*x) + asin(x))/M_PI;
+}
+
+
+/**
+ * acceleration function similar to classic accelerated/unaccelerated,
+ * but with smooth transition in between (and towards zero for adaptive dec.).
+ */
+static float
+SimpleSmoothProfile(
+ DeviceVelocityPtr pVel,
+ float threshold,
+ float acc)
+{
+ float velocity = pVel->velocity;
+ if(velocity < 1.0f)
+ return CalcPenumbralGradient(0.5 + velocity*0.5) * 2.0f - 1.0f;
+ if(threshold < 1.0f)
+ threshold = 1.0f;
+ if (velocity <= threshold)
+ return 1;
+ velocity /= threshold;
+ if (velocity >= acc)
+ return acc;
+ else
+ return 1.0f + (CalcPenumbralGradient(velocity/acc) * (acc - 1.0f));
+}
+
+
+/**
+ * This profile uses the first half of the penumbral gradient as a start
+ * and then scales linearly.
+ */
+static float
+SmoothLinearProfile(
+ DeviceVelocityPtr pVel,
+ float threshold,
+ float acc)
+{
+ if(acc > 1.0f)
+ acc -= 1.0f; /*this is so acc = 1 is no acceleration */
+ else
+ return 1.0f;
+
+ float nv = (pVel->velocity - threshold) * acc * 0.5f;
+ float res;
+ if(nv < 0){
+ res = 0;
+ }else if(nv < 2){
+ res = CalcPenumbralGradient(nv*0.25f)*2.0f;
+ }else{
+ nv -= 2.0f;
+ res = nv * 2.0f / M_PI /* steepness of gradient at 0.5 */
+ + 1.0f; /* gradient crosses 2|1 */
+ }
+ res += pVel->min_acceleration;
+ return res;
+}
+
+
+static float
+LinearProfile(
+ DeviceVelocityPtr pVel,
+ float threshold,
+ float acc)
+{
+ return acc * pVel->velocity;
+}
+
+
+/**
+ * Set the profile by number.
+ * Intended to make profiles exchangeable at runtime.
+ * If you created a profile, give it a number here to make it selectable.
+ * In case some profile-specific init is needed, here would be a good place,
+ * since FreeVelocityData() also calls this with -1.
+ * returns FALSE (0) if profile number is unknown.
+ */
+int
+SetAccelerationProfile(
+ DeviceVelocityPtr s,
+ int profile_num)
+{
+ PointerAccelerationProfileFunc profile;
+ switch(profile_num){
+ case -1:
+ profile = NULL; /* Special case to uninit properly */
+ break;
+ case 0:
+ profile = ClassicProfile;
+ break;
+ case 1:
+ if(NULL == s->deviceSpecificProfile)
+ return FALSE;
+ profile = s->deviceSpecificProfile;
+ break;
+ case 2:
+ profile = PolynomialAccelerationProfile;
+ break;
+ case 3:
+ profile = SmoothLinearProfile;
+ break;
+ case 4:
+ profile = SimpleSmoothProfile;
+ break;
+ case 5:
+ profile = PowerProfile;
+ break;
+ case 6:
+ profile = LinearProfile;
+ break;
+ default:
+ return FALSE;
+ }
+ if(s->profile_private != NULL){
+ /* Here one could free old profile-private data */
+ xfree(s->profile_private);
+ s->profile_private = NULL;
+ }
+ /* Here one could init profile-private data */
+ s->Profile = profile;
+ s->statistics.profile_number = profile_num;
+ return TRUE;
+}
+
+/**
+ * device-specific profile
+ *
+ * The device-specific profile is intended as a hook for a driver
+ * which may want to provide an own acceleration profile.
+ * It should not rely on profile-private data, instead
+ * it should do init/uninit in the driver (ie. with DEVICE_INIT and friends).
+ * Users may override or choose it.
+ */
+extern void
+SetDeviceSpecificAccelerationProfile(
+ DeviceIntPtr pDev,
+ PointerAccelerationProfileFunc profile)
+{
+ /*sanity check*/
+ if( pDev->valuator &&
+ pDev->valuator->accelScheme.AccelSchemeProc ==
+ acceleratePointerPredictable &&
+ pDev->valuator->accelScheme.accelData != NULL){
+ ((DeviceVelocityPtr)
+ (pDev->valuator->accelScheme.accelData))->deviceSpecificProfile
+ = profile;
+ }
+}
+
+
+
+/********************************
+ * acceleration schemes
+ *******************************/
+
+/**
+ * Modifies valuators in-place.
+ * This version employs a velocity approximation algorithm to
+ * enable fine-grained predictable acceleration profiles.
+ */
+void
+acceleratePointerPredictable(DeviceIntPtr pDev, int first_valuator,
+ int num_valuators, int *valuators, int evtime)
+{
+ float mult = 0.0;
+ int dx = 0, dy = 0;
+ int *px = NULL, *py = NULL;
+ DeviceVelocityPtr velocitydata =
+ (DeviceVelocityPtr) pDev->valuator->accelScheme.accelData;
+ float fdx, fdy; /* no need to init */
+
+ if (!num_valuators || !valuators || !velocitydata)
+ return;
+
+ if (first_valuator == 0) {
+ dx = valuators[0];
+ px = &valuators[0];
+ }
+ if (first_valuator <= 1 && num_valuators >= (2 - first_valuator)) {
+ dy = valuators[1 - first_valuator];
+ py = &valuators[1 - first_valuator];
+ }
+
+ if (dx || dy){
+ /* reset nonvisible state? */
+ if (ProcessVelocityData(velocitydata, dx , dy, evtime)) {
+ /* set to center of pixel */
+ pDev->last.remainder[0] = pDev->last.remainder[1] = 0.5f;
+ /* prevent softening (somewhat quirky solution,
+ as it depends on the algorithm) */
+ velocitydata->last_dx = dx;
+ velocitydata->last_dy = dy;
+ }
+
+ if (pDev->ptrfeed && pDev->ptrfeed->ctrl.num) {
+ /* invoke acceleration profile to determine acceleration */
+ mult = velocitydata->Profile(velocitydata,
+ pDev->ptrfeed->ctrl.threshold,
+ (float)(pDev->ptrfeed->ctrl.num) /
+ (float)(pDev->ptrfeed->ctrl.den));
+
+ DebugF("(dix ptracc) resulting speed multiplier : %.3f\n", mult);
+ /* enforce min_acceleration */
+ if (mult < velocitydata->min_acceleration) {
+ DebugF("(dix ptracc) enforced min multiplier : %.3f\n",
+ velocitydata->min_acceleration);
+ mult = velocitydata->min_acceleration;
+ }
+
+ if(mult != 1.0 || velocitydata->const_acceleration != 1.0) {
+ ApplySofteningAndConstantDeceleration( velocitydata,
+ dx, dy,
+ &fdx, &fdy,
+ mult > 1.0);
+ if (dx) {
+ pDev->last.remainder[0] = mult * fdx + pDev->last.remainder[0];
+ *px = (int)pDev->last.remainder[0];
+ pDev->last.remainder[0] = pDev->last.remainder[0] - (float)*px;
+ }
+ if (dy) {
+ pDev->last.remainder[1] = mult * fdy + pDev->last.remainder[1];
+ *py = (int)pDev->last.remainder[1];
+ pDev->last.remainder[1] = pDev->last.remainder[1] - (float)*py;
+ }
+ }
+ }
+ }
+ /* remember last motion delta (for softening/slow movement treatment) */
+ velocitydata->last_dx = dx;
+ velocitydata->last_dy = dy;
+}
+
+
+
+/**
+ * Originally a part of xf86PostMotionEvent; modifies valuators
+ * in-place. Retained mostly for embedded scenarios.
+ */
+void
+acceleratePointerClassic(DeviceIntPtr pDev, int first_valuator,
+ int num_valuators, int *valuators, int ignored)
+{
+ float mult = 0.0;
+ int dx = 0, dy = 0;
+ int *px = NULL, *py = NULL;
+
+ if (!num_valuators || !valuators)
+ return;
+
+ if (first_valuator == 0) {
+ dx = valuators[0];
+ px = &valuators[0];
+ }
+ if (first_valuator <= 1 && num_valuators >= (2 - first_valuator)) {
+ dy = valuators[1 - first_valuator];
+ py = &valuators[1 - first_valuator];
+ }
+
+ if (!dx && !dy)
+ return;
+
+ if (pDev->ptrfeed && pDev->ptrfeed->ctrl.num) {
+ /* modeled from xf86Events.c */
+ if (pDev->ptrfeed->ctrl.threshold) {
+ if ((abs(dx) + abs(dy)) >= pDev->ptrfeed->ctrl.threshold) {
+ pDev->last.remainder[0] = ((float)dx *
+ (float)(pDev->ptrfeed->ctrl.num)) /
+ (float)(pDev->ptrfeed->ctrl.den) +
+ pDev->last.remainder[0];
+ if (px) {
+ *px = (int)pDev->last.remainder[0];
+ pDev->last.remainder[0] = pDev->last.remainder[0] -
+ (float)(*px);
+ }
+
+ pDev->last.remainder[1] = ((float)dy *
+ (float)(pDev->ptrfeed->ctrl.num)) /
+ (float)(pDev->ptrfeed->ctrl.den) +
+ pDev->last.remainder[1];
+ if (py) {
+ *py = (int)pDev->last.remainder[1];
+ pDev->last.remainder[1] = pDev->last.remainder[1] -
+ (float)(*py);
+ }
+ }
+ }
+ else {
+ mult = pow((float)dx * (float)dx + (float)dy * (float)dy,
+ ((float)(pDev->ptrfeed->ctrl.num) /
+ (float)(pDev->ptrfeed->ctrl.den) - 1.0) /
+ 2.0) / 2.0;
+ if (dx) {
+ pDev->last.remainder[0] = mult * (float)dx +
+ pDev->last.remainder[0];
+ *px = (int)pDev->last.remainder[0];
+ pDev->last.remainder[0] = pDev->last.remainder[0] -
+ (float)(*px);
+ }
+ if (dy) {
+ pDev->last.remainder[1] = mult * (float)dy +
+ pDev->last.remainder[1];
+ *py = (int)pDev->last.remainder[1];
+ pDev->last.remainder[1] = pDev->last.remainder[1] -
+ (float)(*py);
+ }
+ }
+ }
+}