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#include "AP_Math.h"
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#include <math.h>
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// a varient of asin() that checks the input ranges and ensures a
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// valid angle as output. If nan is given as input then zero is
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// returned.
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float safe_asin(float v)
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{
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        if (isnan(v)) {
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                return 0.0;
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        }
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        if (v >= 1.0) {
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                return M_PI/2;
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        }
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        if (v <= -1.0) {
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                return -M_PI/2;
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        }
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        return asin(v);
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}
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// a varient of sqrt() that checks the input ranges and ensures a
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// valid value as output. If a negative number is given then 0 is
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// returned. The reasoning is that a negative number for sqrt() in our
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// code is usually caused by small numerical rounding errors, so the
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// real input should have been zero
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float safe_sqrt(float v)
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{
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        float ret = sqrt(v);
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        if (isnan(ret)) {
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                return 0;
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        }
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        return ret;
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}
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// find a rotation that is the combination of two other
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// rotations. This is used to allow us to add an overall board
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// rotation to an existing rotation of a sensor such as the compass
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// Note that this relies the set of rotations being complete. The
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// optional 'found' parameter is for the test suite to ensure that it is.
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enum Rotation rotation_combination(enum Rotation r1, enum Rotation r2, bool *found)
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{
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        Vector3f tv1, tv2;
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        enum Rotation r;
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        tv1(1,2,3);
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        tv1.rotate(r1);
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        tv1.rotate(r2);
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        for (r=ROTATION_NONE; r<ROTATION_MAX;
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             r = (enum Rotation)((uint8_t)r+1)) {
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                Vector3f diff;
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                tv2(1,2,3);
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                tv2.rotate(r);
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                diff = tv1 - tv2;
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                if (diff.length() < 1.0e-6) {
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                        // we found a match
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                        if (found) {
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                                *found = true;
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                        }
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                        return r;
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                }
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        }
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        // we found no matching rotation. Someone has edited the
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        // rotations list and broken its completeness property ...
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        if (found) {
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                *found = false;
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        }
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        return ROTATION_NONE;
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}