fiConstruct fixed-point numeric object Show
Description To assign a fixed-point data type to a number or variable, create a CreationSyntaxDescriptionexample
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Input Argumentsexpand all v — Value scalar | vector | matrix | multi-dimensional arrayValue of the The value of the output You can specify the non-finite values
Data Types: s — Signedness 1 (default) | 0Signedness of the Data Types: w — Word length 16 (default) | scalar integerWord length, in bits, of the The Data Types: f — Fraction length 15 (default) | scalar integerFraction length, in bits, of the Data Types: slope — Slope scalar integerSlope of the scaling, specified as a scalar integer. The following equation represents the real-world value of a slope bias scaled number. Data Types: bias — Bias scalarBias of the scaling, specified as a scalar. The following equation represents the real-world value of a slope bias scaled number. Data Types: slopeadjustmentfactor — Slope adjustment factor scalar integerThe slope adjustment factor of a slope bias scaled number. The following equation demonstrates the relationship between the slope, fixed exponent, and slope adjustment factor. Data Types: fixedexponent — Fixed exponent scalar integerThe fixed exponent of a slope bias scaled number. The following equation demonstrates the relationship between the slope, fixed exponent, and slope adjustment factor. Data Types: T — Numeric type properties numerictype objectNumeric type properties of the F — Fixed-point math properties fimath objectFixed-point math properties of the Examplescollapse all Create a fi objectCreate a
signed a = 3.1250 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 8 FractionLength: 3 Create an Array of fi ObjectsCreate an array of a = fi((magic(3)/10), 1, 16, 12) a = 0.8000 0.1001 0.6001 0.3000 0.5000 0.7000 0.3999 0.8999 0.2000 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 16 FractionLength: 12 Create a fi object with Default Word Length and Fraction LengthWhen you specify only the value and the signedness of the a = 3.1416 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 16 FractionLength: 13 Create a fi Object with Default PrecisionIf you do not specify a fraction length, input argument a = 3.1562 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 8 FractionLength: 5 The fraction length of b = 3.1406 DataTypeMode: Fixed-point: binary point scaling Signedness: Unsigned WordLength: 8 FractionLength: 6 Create a fi Object with Slope and Bias ScalingThe real-world value of a slope bias scaled number is represented by: realworldvalue=(slope×integer)+bias To create a a = 2 DataTypeMode: Fixed-point: slope and bias scaling Signedness: Signed WordLength: 16 Slope: 3 Bias: 2 The Create a fi Object From a Non-Double ValueWhen the value input argument, Create a When the input is a built-in integer, the fixed-point attributes match the attributes of the integer type. v1 = uint32(5); a1 = fi(v1) a1 = 5 DataTypeMode: Fixed-point: binary point scaling Signedness: Unsigned WordLength: 32 FractionLength: 0 v2 = int8(5); a2 = fi(v2) a2 = 5 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 8 FractionLength: 0 Create a When the input value is a v = fi(pi, 1, 24, 12); a = fi(v) a = 3.1416 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 24 FractionLength: 12 Create a When the input a = 1 DataTypeMode: Boolean Create a When the input is single, the v = single(pi); a = fi(v) a = 3.1416 DataTypeMode: Single Create a fi Object With an Associated fimath ObjectThe arithmetic attributes of a Create a F = fimath('OverflowAction', 'Wrap', 'RoundingMethod','Floor', 'ProductMode','KeepMSB') F = RoundingMethod: Floor OverflowAction: Wrap ProductMode: KeepMSB ProductWordLength: 32 SumMode: FullPrecision Create a a = 3.1415 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 16 FractionLength: 13 RoundingMethod: Floor OverflowAction: Wrap ProductMode: KeepMSB ProductWordLength: 32 SumMode: FullPrecision Use the a = 3.1415 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 16 FractionLength: 13 Create a fi Object From a numerictype ObjectA You can create a T = DataTypeMode: Fixed-point: binary point scaling Signedness: Unsigned WordLength: 24 FractionLength: 16 a = 3.1416 DataTypeMode: Fixed-point: binary point scaling Signedness: Unsigned WordLength: 24 FractionLength: 16 Create a fi Object With Fraction Length Greater Than Word LengthWhen you use binary-point representation for a fixed-point number, the fraction length can be greater than the word length. In this case, there are implicit leading zeros (for positive numbers) or ones (for negative numbers) between the binary point and the first significant binary digit. Consider a signed value with a word length of 8, fraction length of 10, and a stored integer value of 5. Calculate the real-world value using the following equation. realworldvalue =storedinteger×2-fractionlength realWorldValue = 5*2^(-10) Create a signed a = fi(realWorldValue, 1, 8, 10) a = 0.0049 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 8 FractionLength: 10 Get the stored integer value of Use the Because the fraction length is two bits longer than the word length, the binary value of the stored integer is Create a fi Object With Negative Fraction LengthWhen you use binary-point representation for a fixed-point number, the fraction length can be negative. In this case, there are implicit trailing zeros (for positive numbers) or ones (for negative numbers) between the binary point and the first significant binary digit. Consider a signed data type with a word length of 8, fraction length of -2 and a stored integer value of 5. Calculate the stored integer value using the following equation. realworldvalue=storedinteger×2-fractionlength Create a signed a = fi(realWorldValue, 1, 8, -2) a = 20 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 8 FractionLength: -2 Get the stored integer value of Get the binary value of Because the fraction length is negative, the binary value of the stored integer is Create a fi Object Specifying Rounding and Overflow ModesYou can set math properties, such as rounding and overflow modes during the creation of the a = fi(pi, 'RoundingMethod', 'Floor', 'OverflowAction', 'Wrap') a = 3.1415 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 16 FractionLength: 13 RoundingMethod: Floor OverflowAction: Wrap ProductMode: FullPrecision SumMode: FullPrecision The Use the a = 3.1415 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 16 FractionLength: 13 Use fi as an Indexing ArgumentWhen
using a Set up an array to index into. Create an integer valued Use Create a = fi(1, 0, 8, 0); b = fi(2, 0, 8, 0); c = fi(10, 0, 8, 0); for x = a:b:c x end x = 1 DataTypeMode: Fixed-point: binary point scaling Signedness: Unsigned WordLength: 8 FractionLength: 0 x = 3 DataTypeMode: Fixed-point: binary point scaling Signedness: Unsigned WordLength: 8 FractionLength: 0 x = 5 DataTypeMode: Fixed-point: binary point scaling Signedness: Unsigned WordLength: 8 FractionLength: 0 x = 7 DataTypeMode: Fixed-point: binary point scaling Signedness: Unsigned WordLength: 8 FractionLength: 0 x = 9 DataTypeMode: Fixed-point: binary point scaling Signedness: Unsigned WordLength: 8 FractionLength: 0 Set Data Type Override on a fi ObjectThe Save the current fp = fipref; initialDTO = fp.DataTypeOverride; Create a a = 3.1416 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 16 FractionLength: 13 Turn on data type override to doubles and create a new fipref('DataTypeOVerride', 'TrueDoubles') ans = NumberDisplay: 'RealWorldValue' NumericTypeDisplay: 'full' FimathDisplay: 'full' LoggingMode: 'Off' DataTypeOverride: 'TrueDoubles' DataTypeOverrideAppliesTo: 'AllNumericTypes' a = 3.1416 DataTypeMode: Double Now create a b = fi(pi, 'DataTypeOverride', 'Off') b = 3.1416 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 16 FractionLength: 13 Restore the fipref settings saved at the start of the example. fp.DataTypeOverride = initialDTO; fi Behavior for -Inf, Inf, and NaNTo use the non-numeric values Saturate on Overflow When the numeric type of the x = [-inf nan inf]; a = fi(x,1,8,0,'OverflowAction','Saturate') b = fi(x,0,8,0,'OverflowAction','Saturate') a = -128 0 127 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 8 FractionLength: 0 RoundingMethod: Nearest OverflowAction: Saturate ProductMode: FullPrecision SumMode: FullPrecision b = 0 0 255 DataTypeMode: Fixed-point: binary point scaling Signedness: Unsigned WordLength: 8 FractionLength: 0 RoundingMethod: Nearest OverflowAction: Saturate ProductMode: FullPrecision SumMode: FullPrecision Wrap on Overflow When the numeric type of the x = [-inf nan inf]; a = fi(x,1,8,0,'OverflowAction','Wrap') b = fi(x,0,8,0,'OverflowAction','Wrap') a = 0 0 0 DataTypeMode: Fixed-point: binary point scaling Signedness: Signed WordLength: 8 FractionLength: 0 RoundingMethod: Nearest OverflowAction: Wrap ProductMode: FullPrecision SumMode: FullPrecision b = 0 0 0 DataTypeMode: Fixed-point: binary point scaling Signedness: Unsigned WordLength: 8 FractionLength: 0 RoundingMethod: Nearest OverflowAction: Wrap ProductMode: FullPrecision SumMode: FullPrecision Extended CapabilitiesC/C++ Code Generation Generate C and C++ code using MATLAB® Coder™.Usage notes and limitations:
HDL Code Generation Generate Verilog and VHDL code for FPGA and ASIC designs using HDL Coder™.Version HistoryIntroduced in R2006a expand all R2021a: Inexact property names for fi, fimath, and numerictype objects not supportedIn previous releases, inexact property names for R2020b: Change in default behavior of fi for -Inf, Inf, and NaNIn previous releases, When
For an example of this behavior, see fi Behavior for -Inf, Inf, and NaN. Note Best-precision scaling is not supported for input values of What is an embedded object in Word?1. In general, an embedded object is a separate file not created in the program that is placed into the program. For example, when using a word processor program, you paste a movie clip into the word processor document; this would be considered an embedded object.
When you edit an embedded object what happens to the source file?When you embed an Excel object, information in the Word file doesn't change if you modify the source Excel file. Embedded objects become part of the Word file and, after they are inserted, they are no longer part of the source file.
What is an embedded object in Powerpoint?Embedded objects The source data is embedded in the presentation. You can view the embedded object on another computer, because the source data is part of the presentation file.
What are the steps to embed an object?#2 – Embedding (inserting) an Existing Object in Excel. Step 1: Select “Text” from the “Insert” tab and click “Object.”. Step 2: Select “Create from File” and click “Browse” to embed an existing file into the worksheet. ... . Step 3: Now click “OK.” The file icon will be displayed on the worksheet.. |