System.Math
From RAD Studio API Documentation
Defines classes, routines, types, variables, and constants related to mathematical operations, vectors and matrixes.
| Package | rtl250.bpl |
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Contents
Units
System.Math Defines classes, routines, types, variables, and constants related to mathematical operations, vectors and matrixes.
System.Math.Vectors Defines classes, routines, types and variables for using vectors and matrixes.
Classes
EInvalidArgument EInvalidArgument is the exception class for out-of-range parameters in specialized math and accounting functions.
Routines
ArcCos Calculates the inverse cosine of a given number.
ArcCosh Calculates the inverse hyperbolic cosine of a given number.
ArcCot Calculates the inverse cotangent of a given number.
ArcCotH Calculates the inverse hyperbolic cotangent of a given number.
ArcCsc Calculates the inverse cosecant of a given number.
ArcCscH Calculates the inverse hyperbolic cosecant of a given number.
ArcSec Calculates the inverse secant of a given number.
ArcSecH Calculates the inverse hyperbolic secant of a given number.
ArcSin Calculates the inverse sine of a given number.
ArcSinh Calculates the inverse hyperbolic sine of a given number.
ArcTan2 Calculates the arctangent angle and quadrant of a given number.
ArcTanh Calculates the inverse hyperbolic tangent of a given number.
Ceil Rounds variables up toward positive infinity.
ClearExceptions Clears floating-point number's cumulative exception flags and raises cumulative floating-point number's exceptions if
RaisePending is True. ClearFPUExceptions Clears all exception bits in the FPU status word.
ClearSSEExceptions Clears all exception bits in the SSE’s MXCSR register.
CompareValue Returns the relationship between two numeric values.
Cosecant Returns the cosecant of an angle.
Cosh Calculates the hyperbolic cosine of an angle.
Cot Calculates the cotangent of an angle.
Cotan Calculates the cotangent of an angle.
CotH Calculates the hyperbolic cotangent of an angle.
Csc Returns the cosecant of an angle.
CscH Returns the hyperbolic cosecant of an angle.
CycleToDeg Converts an angle measurement from cycles to degrees.
CycleToGrad Converts an angle measurement from cycles to grads.
CycleToRad Converts an angle measurement from cycles to radians.
DegToCycle Returns the value of a degree measurement expressed in cycles.
DegToGrad Returns the value of a degree measurement expressed in grads.
DegToRad Returns the value of a degree measurement expressed in radians.
DivMod Returns the result of an integer division, including the remainder.
DoubleDecliningBalance Calculates the depreciation of an asset using the double-declining balance method.
EnsureRange Returns the closest value to a specified value within a specified range.
Floor Rounds variables toward negative infinity.
FMod Returns the remainder of ANumerator / ADenominator (like mod in integers) with the same sign as ANumerator.
Frexp Separates the Mantissa and Exponent of X
FutureValue Calculates the future value of an investment.
GetExceptionMask Returns the current floating-point exception mask.
GetExceptions Retrieves the set of active floating-point exceptions.
GetFPUExceptionMask Returns the set of masked FPU floating-point arithmetic exceptions.
GetFPURoundMode Gets the Intel FPU's rounding mode.
GetPrecisionMode Returns the Intel FPU precision control mode.
GetRoundMode Returns the current floating-point rounding mode.
GetSSEExceptionMask Returns the set of masked Intel SSE arithmetic exceptions.
GetSSERoundMode Gets the Intel SSE's rounding mode.
GradToCycle Converts grad measurements to cycles.
GradToDeg Converts grad measurements to degrees.
GradToRad Converts grad measurements to radians.
Hypot Calculates the length of the hypotenuse.
IfThen Conditionally returns one of two specified values.
InRange Indicates whether a value falls within a specified range.
InterestPayment Calculates the interest portion of a loan payment.
InternalRateOfReturn Calculates the internal rate of return for an investment.
IntPower Calculates the integral power of a base value.
IsInfinite Indicates when a variable or expression represents an infinite value.
IsNan Indicates when a variable or expression does not evaluate to a numeric value.
IsZero Indicates when a floating-point variable or expression evaluates to zero, or very close to zero.
Ldexp Calculates X times (2 to the power of P).
LnXP1 Returns the natural log of (X+1)
Log10 Calculates log base 10.
Log2 Calculates log base 2.
LogN Calculates the log of X for a specified base.
Max Returns the greater of two numeric values.
MaxIntValue Returns the largest signed value in an integer array.
MaxValue Returns the largest signed value in an array.
Mean Returns the average of all values in an array.
MeanAndStdDev Calculates the mean and standard deviation of array elements.
Min Returns the lesser of two numeric values.
MinIntValue Returns the smallest signed value in an integer array.
MinValue Returns smallest signed value in an array.
MomentSkewKurtosis Calculates the mean, variance, skew, and kurtosis.
NetPresentValue Calculates the current value from an array of estimated cash flow values.
Norm Returns the Euclidean 'L-2' norm.
NumberOfPeriods Returns the number of payment periods for an investment.
Payment Calculates a fully amortized payment.
PeriodPayment Returns the principal amount from a full payment.
Poly Evaluates a uniform polynomial of one variable at the value X.
PopnStdDev Calculates the population standard deviation.
PopnVariance Calculates the population variance.
Power Raises Base to any Exponent power.
PresentValue Calculates the present value of an investment.
RadToCycle Converts radians to cycles.
RadToDeg Converts radians to degrees.
RadToGrad Converts radians to grads.
RaiseExceptions Raises cumulative floating-point number's exceptions.
RandG Generates random numbers with Gaussian distribution.
RandomFrom Returns a randomly selected element from an array.
RandomRange Returns a random integer from a specified range.
RoundTo Rounds a floating-point value to a specified digit or power of ten using "Banker's rounding".
SameValue Indicates whether two floating-point values are (approximately) equal.
Sec Calculates the secant of an angle.
Secant Calculates the secant of an angle.
SecH Calculates the hyperbolic secant of an angle.
SetExceptionMask Sets the exception mask for the floating-point exceptions.
SetFPUExceptionMask Sets the floating-point exception masks TFPUExceptionMask in the Intel FPU control word.
SetFPURoundMode Sets the Intel X87 FPU's rounding mode.
SetPrecisionMode Sets the Intel FPU precision control mode.
SetRoundMode Sets the rounding mode for floating-point calculations.
SetSSEExceptionMask Sets the floating-point exception masks TSSEExceptionMask in the Intel SSE’s MXCSR register.
SetSSERoundMode Sets the Intel SSE's rounding mode.
Sign Indicates whether a numeric value is positive, negative, or zero.
SimpleRoundTo Rounds a floating-point value to a specified digit or power of ten using symmetric arithmetic rounding.
SinCos Returns sine and cosine of an angle.
Sinh Returns the hyperbolic sine of an angle.
SLNDepreciation Returns the straight-line depreciation allowance of an asset.
StdDev Returns the sample standard deviation for elements in an array.
Sum Returns the sum of the elements in an array.
SumInt Returns the sum of the elements in an integer array.
SumOfSquares Returns the sum of the squared values from a data array.
SumsAndSquares Returns the sum of the values and the sum of the squared values in an array.
SYDDepreciation Calculates depreciation for an asset.
Tan Returns the tangent of X.
Tanh Returns the hyperbolic tangent of X.
TotalVariance Returns the statistical variance from an array of values.
Variance Calculates statistical sample variance from an array of data.
Types
TArithmeticException Enumeration that holds values representing floating-point exceptions.
TArithmeticExceptionMask Specifies a set of masked floating-point exceptions.
TArithmeticExceptions Specifies a set of handled floating-point exceptions.
TFPUException Enumeration that holds values representing FPU floating-point exceptions.
TFPUExceptionMask Specifies a set of masked FPU floating-point exceptions.
TFPUPrecisionMode TFPUPrecisionMode defines how the FPU handles precision.
TFPURoundingMode Enumerates the FPU's floating-point rounding modes.
TPaymentTime TPaymentTime is an enumerated type used as a parameter in financial functions.
TRoundingMode Enumerates the floating-point rounding modes.
TRoundToEXRangeExtended
Represents the permitted range for a power of ten used by System.Math.RoundTo.
TSSEException Enumeration that holds values representing SSE floating-point exceptions.
TSSEExceptionMask Specifies a set of masked SSE floating-point exceptions.
TSSERoundingMode Enumerates the SSE's floating-point rounding modes.
Variables
NegInfinity NegInfinity represents negative infinity.
Constants
DefaultExceptionFlags DefaultExceptionFlags: Set = [exInvalidOp,exZeroDivide..exOverflow];
exAllArithmeticExceptions exAllArithmeticExceptions: Set = [exInvalidOp..exPrecision];
MaxDouble MaxDouble: Extended = 1.798e+308;
MaxExtended MaxExtended: Extended = 1.19e+4932;
MaxExtended80 MaxExtended80: Extended = 1.19e+4932;
MaxSingle MaxSingle: Extended = 3.403e+38;
MinDouble MinDouble: Extended = 2.225e-308;
MinDoubleDenormal MinDoubleDenormal: Extended = 4.941e-324;
MinExtended MinExtended: Extended = 3.362e-4932;
MinExtended80 MinExtended80: Extended = 3.362e-4932;
MinExtended80Denormal MinExtended80Denormal: Extended = 3.645e-4951;
MinExtendedDenormal MinExtendedDenormal: Extended = 3.645e-4951;
MinSingle MinSingle: Extended = 1.175e-38;
MinSingleDenormal MinSingleDenormal: Extended = 1.401e-45;
NegativeValue NegativeValue: Integer = $FFFFFFFF;
PositiveValue PositiveValue: Integer = 1;
seAESNI seAESNI: Integer = 80ドル;
sePCLMULQDQ sePCLMULQDQ: Integer = 100ドル;
sePOPCNT sePOPCNT: Integer = 40ドル;
seSSE seSSE: Integer = 1;
seSSE2 seSSE2: Integer = 2;
seSSE3 seSSE3: Integer = 4;
seSSE41 seSSE41: Integer = 10ドル;
seSSE42 seSSE42: Integer = 20ドル;
seSSSE3 seSSSE3: Integer = 8;
ZeroValue ZeroValue: Integer = 0;