List of Math Calls

Addition Calls

These calls add two values of the same data type together and return the result in the same data type.

Integers

Add32() Adds 32-bit integers.
Add64() Adds 64-bit integers.

Fractions

AddF14() Adds 2.14 format fixed-point fractions.
AddF16() Adds 16.16 format fixed-point fractions.
AddF30() Adds 2.30 format fixed-point fractions.
AddF32() Adds 32.32 format fixed-point fractions.
AddF60() Adds 4.60 format fixed-point fractions.

Subtraction Calls

These calls subtract one value from another and return the result. Both the values and the result are the same data type.

Integers

Sub32() Subtracts two 32-bit integers.
Sub64() Subtracts two 64-bit integers.

Fractions

SubF14() Subtracts two 2.14 fractions.
SubF16() Subtracts two 16.16 fractions.
SubF30() Subtracts two 2.30 fractions.
SubF32() Subtracts two 32.32 fractions.
SubF60() Subtracts two 4.60 fractions.

Division Calls

These calls take two values of the same data type and divide the first by the second to return a quotient and/or a remainder of the same data type.

Integers

DivRemS32() 32-bit quotient, remainder of a 32-bit division.
DivS64() 64-bit quotient, remainder of a 64-bit division.
DivRemU32() 32-bit quotient, remainder of a 32-bit division.
DivU64() 64-bit quotient, remainder of a 64-bit division.

Fractions

DivSF16() 16.16 quotient of a 16.16 division.
DivRemSF16() 16.16 quotient, remainder of a 16.16 division.
DivUF16() 16.16 quotient of a 16.16 division.
DivRemUF16() 16.16 quotient, remainder of a 16.16 division.

Same-Product Multiplication Calls

These calls multiply two values that can be numbers, vectors, or matrices. They return products of the same type as the multipliers.

Cross-Product Multiplication

Cross3_F16() 16.16 cross-product of 2 vectors of 16.16 values.

Integer Multiplication

Mul32() Multiplies two 32-bit integers; 32-bit integer result.
Mul64() Multiplies two 64-bit integers; 64-bit integer result.

Fraction Multiplication

MulF14() Multiplies two 2.14 fractions; 2.14 fraction result.
MulSF16() Multiplies two signed 16.16 fractions; 16.16 result.
MulUF16() Multiplies two unsigned 16.16 fractions; 16.16 result.

Scalar Multiplication

MulScalarF16() Multiplies 16.16 scalar by an array of 16.16 values; 16.16 array result.

Vector by Vector Multiplication

MulManyF16() Multiplies an array of 16.16 values by another array of 16.16 values.

Matrix by Matrix Multiplication

These calls multiply a matrix within an object structure by an external matrix.

MulMat33Mat33_F16() Multiplies two 3x3 matrices of 16.16 values.
MulMat44Mat44_F16()Multiplies two 4x4 matrices of 16.16 values.
MulObjectMat33_F16()Multiplies matrix within an object structure by an external 3x3 matrix of 16.16 values.
MulObjectMat44_F16()Multiplies matrix within an object structure by an external 4x4 matrix of 16.16 values.

Vector by Matrix Multiplication

These calls multiply many vectors within an object structure by an external matrix.

MulManyVec3Mat33_F16() Multiplies 16.16 vector(s) by a 3x3 matrix of 16.16 values.
MulManyVec4Mat44_F16() Multiplies 16.16 vector(s) by a 4x4 matrix of 16.16 values.
MulVec3Mat33_F16() Multiplies a 16.16 vector and a 3x3 matrix.
MulVec4Mat44_F16() Multiplies a 16.16 vector and a 4x4 matrix.
MulObjectVec3Mat33_F16() Multiplies many 16.16 vectors within an object structure by a 3x3 matrix of 16.16 values.
MulObjectVec4Mat44_F16() Multiplies many 16.16 vectors within an object structure by a 4x4 matrix of 16.16 values.
MulVec3Mat33DivZ_F16() Multiplies a 3x3 matrix of 16.16 fractions by a 3-coordinate vector of 16.16 values, then multiply the x and y elements of the results vector by the ratio n/z.
MulManyVec3Mat33DivZ_F16() Multiplies a 3x3 matrix of 16.16 fractions by one or more 3-coordinate vectors of 16.16 values, then multiply the x and y elements of the result vector by the ration n/z.

Different-Product Multiplication Calls

These calls multiply two values and return a product of a different type than the arguments.

Standard Multiplication

MulS32_64() Multiplies two 32-bit integers; 64-bit result.
MulSF16_F32() Multiplies two signed 16.16 numbers; 32.32 result.
MulSF30_F60() Multiplies two signed 2.30 numbers; a 4.60 result.
MulU32_64() Multiplies two unsigned 32-bit integers; 64-bit result.
MulUF16_F32() Multiplies two unsigned 16.16 numbers; 32.32 result.
MulUF30_F60() Multiplies two unsigned 2.30 numbers; 4.60 result.

Dot Product Multiplication

Dot3_F16() Dot product of 2 three-coordinate vectors of 16.16 values.
Dot4_F16() Dot product of 2 four-coordinate vectors of 16.16 values.

Matrix Transposition Calls

These calls transpose matrices.

Transpose33_F16() Transposes a 3x3 matrix of 16.16 values.
Transpose44_F16() Transposes a 4x4 matrix of 16.16 values.

Geometry Calls

These calls compute geometric functions: sines, cosines, and so on.

Arctangent

Atan2F16() Arctangent of a ratio.

Cosines

CosF16() 16.16 cosine of a 16.16 fraction angle.
CosF30() 2.30 cosine of a 16.16 fraction.
CosF32() 32.32 cosine of a 16.16 fraction.

Sines

SinF16() 16.16 sine of a 16.16 fraction angle.
SinF30() 2.30 sine of a 16.16 fraction.
SinF32() 32.32 sine of a 16.16 fraction.

Conversion Calls

These calls convert a value in one data type to the corresponding value in another data type.

Integers to Fractions

Convert32_F16() Converts 32-bit integer to 16.16 fraction.
Convert32_F32() Converts 32-bit integer to 32.32 fraction.

Integers to Integers

ConvertS32_64() Converts 32-bit integer to 64-bit integer.
ConvertU32_64() Converts unsigned 32-bit integer to unsigned 64-bit integer.

Fractions to Fractions

ConvertF14_F16() Converts 2.14 fraction to 16.16 fraction.
ConvertF16_F14() Converts 16.16 fraction to 2.14 fraction.
ConvertF16_F30() Converts 16.16 fraction to 2.30 fraction.
ConvertF30_F16() Converts 2.30 fraction to 16.16 fraction.
ConvertF32_F16() Converts 32.32 fraction to 16.16 fraction.
ConvertSF16_F32() Converts 16.16 fraction to 32.32 fraction.
ConvertUF16_F32() Converts unsigned 16.16 fraction to unsigned 32.32 fraction.

Fraction to Integers

ConvertF16_32() Converts 16.16 fraction to 32-bit integer.

Comparative Calls

These calls compare two values of the same data type and return a result that is a positive value if the first value is greater than the second, a 0 if the two values are equal, and a negative number if the second value is greater than the first.

Integers

CompareS64() Compares signed 64-bit integers.
CompareU64() Compares unsigned 64-bit integers.

Fractions

CompareSF32() Compares signed 32.32 format fractions.
CompareSF60() Compares signed 4.60 format fractions.
CompareUF32() Compares unsigned 32.32 format fractions.
CompareUF60() Compares unsigned 4.60 format fractions.

One's and Two's Complement Calls

These calls return one's and two's complements of a value.

Two's Complements

Neg32() Two's complement of a 32-bit integer.
NegF14() Two's complement of a 2.14 fraction.
NegF16() Two's complement of a 16.16 fraction.
NegF30() Two's complement of a 2.30 fraction.
Neg64() Two's complement of a 64-bit integer.
NegF32() Two's complement of a 32.32 number.

One's Complements

Not32() One's complement of a 32-bit integer.
NotF14() One's complement of a 2.14 fraction.
NotF16() One's complement of a 16.16 fraction.
NotF30() One's complement of a 2.30 fraction.
Not64() One's complement of a 64-bit integer.
NotF32() One's complement of a 32.32 number.

Reciprocal Calls

These calls return the reciprocal of a number.

RecipSF16() Reciprocal of a signed 16.16 number.
RecipUF16() Reciprocal of an unsigned 16.16 number.

Squaring and Square Root Calls

These calls return the square or the square root of a number.

Squares

Square64() Square a 64-bit integer.
SquareSF16() Square a signed 16.16 fraction.
SquareUF16() Square an unsigned 16.16 fraction.

Square Roots

Sqrt32() Unsigned 32-bit square root of an unsigned 32-bit number.
SqrtF16() 16.16 fraction square root of an unsigned 16.16 number.
Sqrt64_32() 32-bit square root of an unsigned 64-bit integer.
SqrtF32_F16() 16.16 square root of a32.32 fraction.

Absolue Value

The following calls compute the absolute value of a vector call.

AbsVec3_F16 Computes the absolute value of a vector of 16.16 values.
AbsVec4_F16 Computes the absolute value of a vector of 16.16 values.