trigonometry

I need to calculate a triangle and saw wave but it is a little complicate because of my model and the data I'm able to work with (but maybe I'm just confused). I'm able to calculate my sine wave but I'm not really using a frame counter. What I do is, calculate a theta_increment variable which I can use the next time I need to calculate a sample. This works like this: float x = note.frequency / AppSettings::sampleRate; float theta_increment = 2.0f * M_PI * x; float value = 0; if(waveType == SINE){ value = sin(note.theta) * fixedAmplitude; } Now that I have the value of the currend frame/sample

I have raw data of Gyroscope and magnetometer. on basis of this data, i have to calculate Heading information with an accuracy of 1Deg. I would like to know, is there any algorithm which can help me to get heading info using available information with mentioned accuracy? Any article or any link also will be helpful. Thanks I am assuming you are using phone to collect gyroscope+magnetometer data. You cannot calculate Heading with Gyro+Magnetometer unless you know initial state of device. You have to try Accelerometer+Magnetometer . You can get heading values from rotation-matrix' or yaw`

I want to know the best way to fit a sine-wave with a distorted time base, in Matlab. The distortion in time is given by a n-th order polynomial (n~10), of the form t_distort = P(t) . For example, consider the distortion t_distort = 8 + 12t + 6t^2 + t^3 (which is just the power series expansion of (t-2)^3 ). This will distort a sine-wave as follows: I want to be able to find the distortion given this distorted sine-wave. (i.e. I want to find the function t = G(t_distort) , but t_distort = P(t) is unknown.) Here's an analytical driven route that takes asin of the signal with proper unwrapping

I'm currently having some problems regarding my homework. Here's the Exercise: (Plot the sine and cosine functions) Write a program that plots the sine function in red and the cosine function in blue. hint: The Unicode for Pi is \u03c0 . To display -2Pi, use g.drawString("-2\u03c0", x, y). For a trigonometric function like sin(x), x is in radians. Use the following loop to add the points to a polygon p for (int x = -170; x <= 170; x++) { p.addPoint(x + 200, 100 - (int)(50 * Math.sin((x / 100.0) * 2 * Math.PI))); -2Pi is at ( 100, 100 ), the center of the axis is at ( 200, 100 ), and 2Pi is at

I am working on a spatial analysis problem and part of this workflow is to calculate the angle between connected line segments. Each line segment is composed of only two points, and each point has a pair of XY coordinates (Cartesian). Here is the image from GeoGebra. I am always interested in getting a positive angle in 0 to 180 range . However, I get all kind of angles depending on the order of vertices in input line segments. The input data I work with is provided as tuples of coordinates. Depending on the vertex creation order, the last/end point for each line segment can be different. Here

>>> import math >>> math.sin(68) -0.897927680689 But sin(68) = 0.927 (3 decimal places) Any ideas about why I am getting this result? Thanks. >>> import math >>> print math.sin.__doc__ sin(x) Return the sine of x (measured in radians). math.sin expects its argument to be in radians, not degrees, so: >>> import math >>> print math.sin(math.radians(68)) 0.927183854567 by default angle in Python is calculated in radians. So, you can try to multiply the angle ( degrees ) by 0.01745 - to convert it to degrees and input the values. print(math.sin(60*0.01745)) 0.8659266112878228 来源： https:/

I wish to generate rays from the camera through the viewing plane. In order to do this, I need my camera position ("eye"), the up, right, and towards vectors (where towards is the vector from the camera in the direction of the object that the camera is looking at) and P, the point on the viewing plane. Once I have these, the ray that's generated is: ray = camera_eye + t*(P-camera_eye); where t is the distance along the ray (assume t = 1 for now). My question is, how do I obtain the 3D coordinates of point P given that it is located at position (i,j) on the viewing plane? Assume that the upper

I'm looking to calculate highly parallelized trig functions (in block of like 1024), and I'd like to take advantage of at least some of the parallelism that modern architectures have. When I compile a block for(int i=0; i<SIZE; i++) { arr[i]=sin((float)i/1024); } GCC won't vectorize it, and says not vectorized: relevant stmt not supported: D.3068_39 = __builtin_sinf (D.3069_38); Which makes sense to me. However, I'm wondering if there's a library to do parallel trig computations. With just a simple taylor series up the 11th order, GCC will vectorize all the loops, and I'm getting speeds over