Functions |
static bool | find_min_max_delta (double from, double left_limit, double right_limit, double &result_min_delta, double &result_max_delta) |
| This function is only intended for internal use and not intended for external use. If you do use it, read the documentation very carefully. Returns the min and max amount (in radians) that can be moved from "from" angle to "left_limit" and "right_limit".
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static double | from_degrees (double degrees) |
| Convert degrees to radians.
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static double | normalize_angle (double angle) |
| normalize
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static double | normalize_angle_positive (double angle) |
| normalize_angle_positive
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static double | shortest_angular_distance (double from, double to) |
| shortest_angular_distance
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static bool | shortest_angular_distance_with_limits (double from, double to, double left_limit, double right_limit, double &shortest_angle) |
| Returns the delta from "from_angle" to "to_angle" making sure it does not violate limits specified by left_limit and right_limit. The valid interval of angular positions is [left_limit,right_limit]. E.g., [-0.25,0.25] is a 0.5 radians wide interval that contains 0. But [0.25,-0.25] is a 2*M_PI-0.5 wide interval that contains M_PI (but not 0). The value of shortest_angle is the angular difference between "from" and "to" that lies within the defined valid interval. E.g. shortest_angular_distance_with_limits(-0.5,0.5,0.25,-0.25,ss) evaluates ss to 2*M_PI-1.0 and returns true while shortest_angular_distance_with_limits(-0.5,0.5,-0.25,0.25,ss) returns false since -0.5 and 0.5 do not lie in the interval [-0.25,0.25].
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static double | to_degrees (double radians) |
| Convert radians to degrees.
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static double | two_pi_complement (double angle) |
| returns the angle in [-2*M_PI, 2*M_PI] going the other way along the unit circle.
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static double angles::shortest_angular_distance |
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double |
from, |
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double |
to | |
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) |
| | [inline, static] |
shortest_angular_distance
Given 2 angles, this returns the shortest angular difference. The inputs and ouputs are of course radians.
The result would always be -pi <= result <= pi. Adding the result to "from" will always get you an equivelent angle to "to".
Definition at line 103 of file angles.h.
static bool angles::shortest_angular_distance_with_limits |
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double |
from, |
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double |
to, |
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double |
left_limit, |
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double |
right_limit, |
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double & |
shortest_angle | |
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) |
| | [inline, static] |
Returns the delta from "from_angle" to "to_angle" making sure it does not violate limits specified by left_limit and right_limit. The valid interval of angular positions is [left_limit,right_limit]. E.g., [-0.25,0.25] is a 0.5 radians wide interval that contains 0. But [0.25,-0.25] is a 2*M_PI-0.5 wide interval that contains M_PI (but not 0). The value of shortest_angle is the angular difference between "from" and "to" that lies within the defined valid interval. E.g. shortest_angular_distance_with_limits(-0.5,0.5,0.25,-0.25,ss) evaluates ss to 2*M_PI-1.0 and returns true while shortest_angular_distance_with_limits(-0.5,0.5,-0.25,0.25,ss) returns false since -0.5 and 0.5 do not lie in the interval [-0.25,0.25].
- Returns:
- true if "from" and "to" positions are within the limit interval, false otherwise
- Parameters:
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| from | - "from" angle |
| to | - "to" angle |
| left_limit | - left limit of valid interval for angular position, left and right limits are specified on the unit circle w.r.t to a reference pointing inwards |
| right_limit | - right limit of valid interval for angular position, left and right limits are specified on the unit circle w.r.t to a reference pointing inwards |
| shortest_angle | - result of the shortest angle calculation |
Definition at line 223 of file angles.h.