GHI.Premium.System Provides constants and static methods for trigonometric, logarithmic, and other common mathematical functions. Represents the natural logarithmic base, specified by the constant, e. Represents the ratio of the circumference of a circle to its diameter, specified by the constant, π. Returns the cosine of the specified angle. An angle, measured in radians. The cosine of d. If d is equal to NaN, NegativeInfinity, or PositiveInfinity, this method returns NaN. Returns the sine of the specified angle. An angle, measured in radians. The sine of a. If a is equal to NaN, NegativeInfinity, or PositiveInfinity, this method returns NaN. Returns the tangent of the specified angle. An angle, measured in radians. The tangent of a. If a is equal to NaN, NegativeInfinity, or PositiveInfinity, this method returns NaN. Returns the angle whose cosine is the specified number. A number representing a cosine, where -1 ≤d≤ 1. An angle, θ, measured in radians, such that 0 ≤θ≤π or NaN if d < -1 or d > 1. Returns the angle whose sine is the specified number. A number representing a sine, where -1 ≤d≤ 1. An angle, θ, measured in radians, such that -π/2 ≤θ≤π/2 or NaN if d < -1 or d > 1. Returns the angle whose tangent is the specified number. A number representing a tangent. An angle, θ, measured in radians, such that -π/2 ≤θ≤π/2 or NaN if d equals NaN, -π/2 rounded to double precision (-1.5707963267949) if d equals NegativeInfinity, or π/2 rounded to double precision (1.5707963267949) if d equals PositiveInfinity. Returns the angle whose tangent is the quotient of two specified numbers. The y coordinate of a point. The x coordinate of a point. An angle, θ, measured in radians, such that -π≤θ≤π, and tan(θ) = y / x, where (x, y) is a point in the Cartesian plane. Returns the hyperbolic cosine of the specified angle. An angle, measured in radians. The hyperbolic cosine of value. If value is equal to NegativeInfinity or PositiveInfinity, PositiveInfinity is returned. If value is equal to NaN, NaN is returned. Returns the hyperbolic sine of the specified angle. An angle, measured in radians. The hyperbolic sine of value. If value is equal to NegativeInfinity, PositiveInfinity, or NaN, this method returns a Double equal to value. Returns the hyperbolic tangent of the specified angle. An angle, measured in radians. The hyperbolic tangent of value. If value is equal to NegativeInfinity, this method returns -1. If value is equal to PositiveInfinity, this method returns 1. If value is equal to NaN, this method returns NaN. Returns a specified number raised to the specified power. A double-precision floating-point number to be raised to a power. A double-precision floating-point number that specifies a power. The number x raised to the power y. Returns the square root of a specified number. A number. The positive square root of d. Returns e raised to the specified power. A number specifying a power. The number e raised to the power d. If d equals NaN or PositiveInfinity, that value is returned. If d equals NegativeInfinity, 0 is returned. Returns the natural (base e) logarithm of a specified number. A number whose logarithm is to be found. The natural logarithm of d. Returns the base 10 logarithm of a specified number. A number whose logarithm is to be found. The base 10 log of d. Returns the smallest integral value that is greater than or equal to the specified double-precision floating-point number. A double-precision floating-point number. The smallest integral value that is greater than or equal to a. If a is equal to NaN, NegativeInfinity, or PositiveInfinity, that value is returned. Note that this method returns a Double instead of an integral type. Returns the largest integer less than or equal to the specified double-precision floating-point number. A double-precision floating-point number. The largest integer less than or equal to d. If d is equal to NaN, NegativeInfinity, or PositiveInfinity, that value is returned. Rounds a double-precision floating-point value to the nearest integral value. A double-precision floating-point number to be rounded. The integer nearest a. If the fractional component of a is halfway between two integers, one of which is even and the other odd, then the even number is returned. Note that this method returns a Double instead of an integral type. Calculates the integral part of a specified double-precision floating-point number. A number to truncate. The integral part of d; that is, the number that remains after any fractional digits have been discarded. Extended Tiny Encryption Algorithm. Extended Tiny Encryption Algorithm uses 128 bit key. It is secure and has simple implementation. The algorithm is explained in length at various sources including Wikipedia.

The version used in this class does 32 cycles of XTEA encryption (most common).
The data length to be encrypted or decrypted MUST be a multiple of 8. To work around this restriction, pad the data until it is a multiple of 8. Also, an implementation that does not have this limitation and is the same as NETMF's Key_TinyEncryptionAlgorithm is explained in the book “Expert .NET Micro Framework”, Second Edition by Jens Kühner. It includes source example that implements XTEA in addition to cipher block chaining with cipher byte stealing. See chapter 8 source code in the book link.
 Creates an XTEA using the encryption key. The key must be 16 bytes long (128 bits). Encrypts the data. Data to be encrypted. This array is not changed. Offset into the plain data array. Encrypted data will be written to this array. Offset into the encrypted data array. Data count to be processed. It MUST be a multiple of 8. Decrypts the data. Data to be decrypted. This array is not changed. Offset into the encrypted data array. Decrypted data will be written to this array. Offset into the plain data array. Data count to be processed. It MUST be a multiple of 8. Provides a cyclic redundancy check. Computes CRC. Buffer. Offset. Count. Seed. CRC. This is used in XMODEM and many others. Computes CRC. Buffer. Offset. Conut. Seed. CRC. This is used in ZMODEM and many others. Represents a device connected to USB Host. Device ID. This is unique among the currently connected USB devices. It will be the same for a device with multiple interfaces. Logical device interface index. Some USB devices might have multiple functions represented as multiple interfaces. If a device functions as a whole, this will be equal to NO_INTERFACE_ASSOCIATED. Device type. Device Vendor ID. This is unique per company. Device Product ID. This is unique per product for a certain company. Device USB port number. Constructor to create fields data. ID. INTERFACE_INDEX. TYPE. VENDOR_ID. PRODUCT_ID. PORT_NUMBER. Constructor to create fields data identical to a given device. Target device. Available devices' types. Device is not recognized. USB Hub. Human Interface Device. Mouse. Keyboard. Joystick. Mass Storage. This includes USB storage devices such as USB Thumbs drives and USB hard disks. Printer. USB to Serial device. USB to Serial device. USB to Serial device. USB to Serial device. USB to Serial device. USB to Serial device. Sierra Installer. Video device. Webcamera. System model types. To get the system model type use Microsoft.SPOT.Hardware.SystemInfo.SystemID.Model. Model Type. Network Interface. To get the NetworkInterface use. Built In Interface. ENC28J60 Interface. RS910 Interface. Application protect level. To get the Application protect level use. Disable protection. Level_1 protection. Level_2 protection. Level_3 protection. Utilities. Allows Set Application Protect Application protect level key value Allows Set Application Protect Application protect level key value Allows Update MAC address Network Interface MAC address value Allows .wav file playback through AnalogOut AnalogOut Channel .wav file buffer Array offset Size of playback sample Frequency in Hz Forces Extended Weak References to flush. Extended Weak References are normally flushed in the background. Use this method to force flushing. Converts a string to UTF-8 and inserts into a byte array. String. Buffer. Insert offset in buffer. true to terminate the string with a null. If this is used, the buffer must have extra byte to store the null. Converts a value into little-endian binary bytes representation and insert them into an array. Value. Buffer. Insert offset in buffer. Converts little-endian binary bytes representation to an equivalent value. Output value. Buffer. Extract offset in buffer. Converts Bitmap pixel bytes into different BPP representation. Bitmap bytes. Output buffer after conversion. Target bits per pixel representation. GHI Electronics' devices support Bitmap and WPF graphics natively on color TFT displays. A design may require a small low-cost SPI-based displays. Different SPI LCDs can have different BPP requirements. This function converts the Bitmap bytes, where each pixel is represented as 4 bytes, into the needed BPP representation and then it can be transferred to the display.
Start by doing all necessary graphics in NETMF on a Bitmap object. When you need to flush the results to the LCD:
1) Get the Bitmap bytes using myBitmap.GetBitmap().
2) Use this conversion method to convert the buffer into the needed BPP.
3) Send output buffer to LCD over SPI.

This drawing technique can be used also with Windows Presentation Foundation but it does not work on old non-TFT Embedded Master and it requires the following:
1) Set the display size to match your SPI-display using SetLCD. Use any values for timing and 0 for PixelClockRateKHZ which will disable TFT LCD refresh.
2) Use the following code to fetch the Bitmap object from the WPF system. WindowManager.Instance.PostRender += new PostRenderEventHandler(Instance_PostRender); // … void Instance_PostRender(DrawingContext dc) { // get bitmap bytes byte[] MyBitmapBytes = dc.Bitmap.GetBitmap(); // do any necessary conversion Util.ConvertBPP(MyBitmapBytes, output, Util.BPP_Type.BPP16_RGB_LE); // send over SPI MySPIDisplay.FlushData(output); } Converts Bitmap pixel bytes to a BMP file. This method coverts .NET Micro Framework's Bitmap pixels to a BMP file. This file can be stored on a storage device or transferred over a network.
First allocate a buffer for the BMP file. Its size must be: imageWidth * imageHeight * 3 + 54. Then pass the buffer along with the Bitmap's pixels to this method. The Bitmap's pixels can be obtained using Bitmap.GetBitmap().
 Pixel data. This is done using Bitmap.GetBitmap(). Image width (Bitmap.Width). Image height (Bitmap.Height). BMP file buffer. Its size must be: imageWidth * imageHeight * 3 + 54. Low level use. driverID. n1. n2. b1. b2. a. Return value. Splits a passed in string using a delimiter and fills out an array with the parsed values. The string to be split. The length of the string. The delimiter character that will be used to split the string. An array of values to be filled out from the parsed string. Returns the number of values that were parsed. Bits per pixel conversion type. 1 BPP for displays of 128 width and 128 or 64 height. The 1-bit pixel is set if the bitmap pixel has any color besides black. 8 BPP with RGB 3:3:2. 8 BPP from red channel. 8 BPP from green channel. 8 BPP from blue channel. Big Endian 16 BPP with RGB 5:6:5. Little Endian 16 BPP with RGB 5:6:5. Big Endian 16 BPP with BGR 5:6:5. Little Endian 16 BPP with BGR 5:6:5.