mi::math Namespace Reference

[Math API]

Description

Namespace for the Math API.

Namespaces

namespace functor: Namespace for basic math functors in the Math API. More...
namespace general: Namespace for generic functions in the Math API. More...

Classes

class Bbox< T, DIM>: Axis-aligned N-dimensional bounding box class template of fixed dimension. More...
struct Bbox_struct< T, DIM>: Storage class for an axis-aligned N-dimensional bounding box class template of fixed dimension. More...
class Color: Standard RGBA color class with floating point elements and operations. More...
struct Color_struct: Generic storage class template for an RGBA color representation storing four floating points elements. More...
class Matrix< T, ROW, COL>: NxM-dimensional matrix class template of fixed dimensions. More...
struct Matrix_struct< T, 1, 1 >: Specialization for 1x1-matrix. More...
struct Matrix_struct< T, 1, 2 >: Specialization for 1x2-matrix. More...
struct Matrix_struct< T, 1, 3 >: Specialization for 1x3-matrix. More...
struct Matrix_struct< T, 1, 4 >: Specialization for 1x4-matrix. More...
struct Matrix_struct< T, 2, 1 >: Specialization for 2x1-matrix. More...
struct Matrix_struct< T, 2, 2 >: Specialization for 2x2-matrix. More...
struct Matrix_struct< T, 2, 3 >: Specialization for 2x3-matrix. More...
struct Matrix_struct< T, 2, 4 >: Specialization for 2x4-matrix. More...
struct Matrix_struct< T, 3, 1 >: Specialization for 3x1-matrix. More...
struct Matrix_struct< T, 3, 2 >: Specialization for 3x2-matrix. More...
struct Matrix_struct< T, 3, 3 >: Specialization for 3x3-matrix. More...
struct Matrix_struct< T, 3, 4 >: Specialization for 3x4-matrix. More...
struct Matrix_struct< T, 4, 1 >: Specialization for 4x1-matrix. More...
struct Matrix_struct< T, 4, 2 >: Specialization for 4x2-matrix. More...
struct Matrix_struct< T, 4, 3 >: Specialization for 4x3-matrix. More...
struct Matrix_struct< T, 4, 4 >: Specialization for 4x4-matrix. More...
struct Matrix_struct< T, ROW, COL>: Storage class for a NxM-dimensional matrix class template of fixed dimensions. More...
class Spectrum: Spectrum with floating point elements and operations. More...
struct Spectrum_struct: Generic storage class template for a Spectrum representation storing three floating point elements. More...
class Vector< T, DIM>: Fixed-size math vector class template with generic operations. More...
struct Vector_struct< T, 1 >: Specialization for dimension 1 to create x member. More...
struct Vector_struct< T, 2 >: Specialization for dimension 2 to create x and y member. More...
struct Vector_struct< T, 3 >: Specialization for dimension 3 to create x, y, and z members. More...
struct Vector_struct< T, 4 >: Specialization for dimension 4 to create x, y, z, and w members. More...
struct Vector_struct< T, DIM>: Generic storage class template for math vector representations storing DIM elements of type T. More...

Enumerations

enum Clip_mode {CLIP_RGB, CLIP_ALPHA, CLIP_RAW }: Supported clipping modes. More...
enum From_iterator_tag {FROM_ITERATOR }: Enum used for initializing a vector from an iterator. More...

Functions

Color abs ( const Color& c): Returns a color with the elementwise absolute values of the color c. More...
Spectrum abs ( const Spectrum& c): Returns a spectrum with the elementwise absolute values of the spectrum c. More...
template< typename T, Size> Vector < T , DIM > abs ( const Vector_struct < T , DIM >& v): Returns a vector with the elementwise absolute values of the vector v. More...
Color acos ( const Color& c): Returns a color with the elementwise arc cosine of the color c. More...
Float32 acos ( Float32 s): Returns the arc cosine of s in radians. More...
Float64 acos ( Float64 s): Returns the arc cosine of s in radians. More...
Spectrum acos ( const Spectrum& c): Returns a spectrum with the elementwise arc cosine of the spectrum c. More...
template< typename T, Size> Vector < T , DIM > acos ( const Vector_struct < T , DIM >& v): Returns a vector with the elementwise arc cosine of the vector v. More...
bool all ( const Color& c): Returns true if all elements of c are not equal to zero. More...
bool all ( Uint8 v): Returns true if v is not equal to zero. More...
bool all ( Uint16 v): Returns true if v is not equal to zero. More...
bool all ( Uint32 v): Returns true if v is not equal to zero. More...
bool all ( Uint64 v): Returns true if v is not equal to zero. More...
bool all ( Sint8 v): Returns true if v is not equal to zero. More...
bool all ( Sint16 v): Returns true if v is not equal to zero. More...
bool all ( Sint32 v): Returns true if v is not equal to zero. More...
bool all ( Sint64 v): Returns true if v is not equal to zero. More...
bool all ( Float32 v): Returns true if v is not equal to zero. More...
bool all ( Float64 v): Returns true if v is not equal to zero. More...
bool all ( const Spectrum& c): Returns true if all elements of c are not equal to zero. More...
template< typename T, Size>bool all ( const Vector_struct < T , DIM >& v): Returns true if all of all elements of v returns true. More...
bool any ( const Color& c): Returns true if any element of c is not equal to zero. More...
bool any ( Uint8 v): Returns true if v is not equal to zero. More...
bool any ( Uint16 v): Returns true if v is not equal to zero. More...
bool any ( Uint32 v): Returns true if v is not equal to zero. More...
bool any ( Uint64 v): Returns true if v is not equal to zero. More...
bool any ( Sint8 v): Returns true if v is not equal to zero. More...
bool any ( Sint16 v): Returns true if v is not equal to zero. More...
bool any ( Sint32 v): Returns true if v is not equal to zero. More...
bool any ( Sint64 v): Returns true if v is not equal to zero. More...
bool any ( Float32 v): Returns true if v is not equal to zero. More...
bool any ( Float64 v): Returns true if v is not equal to zero. More...
bool any ( const Spectrum& c): Returns true if any element of c is not equal to zero. More...
template< typename T, Size>bool any ( const Vector_struct < T , DIM >& v): Returns true if any of any element of v returns true. More...
Color asin ( const Color& c): Returns a color with the elementwise arc sine of the color c. More...
Float32 asin ( Float32 s): Returns the arc sine of s in radians. More...
Float64 asin ( Float64 s): Returns the arc sine of s in radians. More...
Spectrum asin ( const Spectrum& c): Returns a spectrum with the elementwise arc sine of the spectrum c. More...
template< typename T, Size> Vector < T , DIM > asin ( const Vector_struct < T , DIM >& v): Returns a vector with the elementwise arc sine of the vector v. More...
Color atan ( const Color& c): Returns a color with the elementwise arc tangent of the color c. More...
Float32 atan ( Float32 s): Returns the arc tangent of s. More...
Float64 atan ( Float64 s): Returns the arc tangent of s. More...
Spectrum atan ( const Spectrum& c): Returns a spectrum with the elementwise arc tangent of the spectrum c. More...
template< typename T, Size> Vector < T , DIM > atan ( const Vector_struct < T , DIM >& v): Returns a vector with the elementwise arc tangent of the vector v. More...
Color atan2 ( const Color& c, const Color& d): Returns a color with the elementwise arc tangent of the color c / d. More...
Float32 atan2 ( Float32 s, Float32 t): Returns the arc tangent of s / t. More...
Float64 atan2 ( Float64 s, Float64 t): Returns the arc tangent of s / t. More...
Spectrum atan2 ( const Spectrum& c, const Spectrum& d): Returns a spectrum with the elementwise arc tangent of the spectrum c / d. More...
template< typename T, Size> Vector < T , DIM > atan2 ( const Vector_struct < T , DIM >& v, const Vector_struct < T , DIM >& w): Returns a vector with the elementwise arc tangent of the vector v / w. More...
Color ceil ( const Color& c): Returns a color with the elementwise smallest integral value that is not less than the element in color c. More...
Float32 ceil ( Float32 s): Returns the smallest integral value that is not less than s. More...
Float64 ceil ( Float64 s): Returns the smallest integral value that is not less than s. More...
Spectrum ceil ( const Spectrum& c): Returns a spectrum with the elementwise smallest integral value that is not less than the element in spectrum c. More...
template< typename T, Size> Vector < T , DIM > ceil ( const Vector_struct < T , DIM >& v): Returns a vector with the elementwise smallest integral value that is not less than the element in vector v. More...
Color clamp ( const Color& c, const Color& low, const Color& high): Returns the color c elementwise clamped to the range [low, high]. More...
Color clamp ( const Color& c, const Color& low, Float32 high): Returns the color c elementwise clamped to the range [low, high]. More...
Color clamp ( const Color& c, Float32 low, const Color& high): Returns the color c elementwise clamped to the range [low, high]. More...
Color clamp ( const Color& c, Float32 low, Float32 high): Returns the color c elementwise clamped to the range [low, high]. More...
Uint8 clamp ( Uint8 s, Uint8 low, Uint8 high): Returns the value s if it is in the range [low, high], the value low if s < low, or the value high if s > high. More...
Uint16 clamp ( Uint16 s, Uint16 low, Uint16 high): Returns the value s if it is in the range [low, high], the value low if s < low, or the value high if s > high. More...
Uint32 clamp ( Uint32 s, Uint32 low, Uint32 high): Returns the value s if it is in the range [low, high], the value low if s < low, or the value high if s > high. More...
Uint64 clamp ( Uint64 s, Uint64 low, Uint64 high): Returns the value s if it is in the range [low, high], the value low if s < low, or the value high if s > high. More...
Sint8 clamp ( Sint8 s, Sint8 low, Sint8 high): Returns the value s if it is in the range [low, high], the value low if s < low, or the value high if s > high. More...
Sint16 clamp ( Sint16 s, Sint16 low, Sint16 high): Returns the value s if it is in the range [low, high], the value low if s < low, or the value high if s > high. More...
Sint32 clamp ( Sint32 s, Sint32 low, Sint32 high): Returns the value s if it is in the range [low, high], the value low if s < low, or the value high if s > high. More...
Sint64 clamp ( Sint64 s, Sint64 low, Sint64 high): Returns the value s if it is in the range [low, high], the value low if s < low, or the value high if s > high. More...
Float32 clamp ( Float32 s, Float32 low, Float32 high): Returns the value s if it is in the range [low, high], the value low if s < low, or the value high if s > high. More...
Float64 clamp ( Float64 s, Float64 low, Float64 high): Returns the value s if it is in the range [low, high], the value low if s < low, or the value high if s > high. More...
Spectrum clamp ( const Spectrum& c, const Spectrum& low, const Spectrum& high): Returns the spectrum c elementwise clamped to the range [low, high]. More...
Spectrum clamp ( const Spectrum& c, const Spectrum& low, Float32 high): Returns the spectrum c elementwise clamped to the range [low, high]. More...
Spectrum clamp ( const Spectrum& c, Float32 low, const Spectrum& high): Returns the spectrum c elementwise clamped to the range [low, high]. More...
Spectrum clamp ( const Spectrum& c, Float32 low, Float32 high): Returns the spectrum c elementwise clamped to the range [low, high]. More...
template< typename T, Size> Vector < T , DIM > clamp ( const Vector_struct < T , DIM >& v, const Vector_struct < T , DIM >& low, const Vector_struct < T , DIM >& high): Returns the vector v elementwise clamped to the range [low, high]. More...
template< typename T, Size> Vector < T , DIM > clamp ( const Vector_struct < T , DIM >& v, const Vector_struct < T , DIM >& low, T high): Returns the vector v elementwise clamped to the range [low, high]. More...
template< typename T, Size> Vector < T , DIM > clamp ( const Vector_struct < T , DIM >& v, T low, const Vector_struct < T , DIM >& high): Returns the vector v elementwise clamped to the range [low, high]. More...
template< typename T, Size> Vector < T , DIM > clamp ( const Vector_struct < T , DIM >& v, T low, T high): Returns the vector v elementwise clamped to the range [low, high]. More...
template< typename T, Size> Bbox < T , DIM > clip ( const Bbox < T , DIM >& bbox1, const Bbox < T , DIM >& bbox2): Clip bbox1 at bbox2 and return the result. More...
template< typename T2, Size, typename T1, Size> Vector < T2 , DIM2 > convert_vector ( const Vector < T1 , DIM1 >& v, const T2& fill = T2(0)): Converts the vector v of type Vector<T1, DIM1> to a vector of type Vector<T2, DIM2>. More...
Color cos ( const Color& c): Returns a color with the elementwise cosine of the color c. More...
Float32 cos ( Float32 a): Returns the cosine of a. The angle a is specified in radians. More...
Float64 cos ( Float64 a): Returns the cosine of a. The angle a is specified in radians. More...
Spectrum cos ( const Spectrum& c): Returns a spectrum with the elementwise cosine of the spectrum c. More...
template< typename T, Size> Vector < T , DIM > cos ( const Vector_struct < T , DIM >& v): Returns a vector with the elementwise cosine of the vector v. More...
template< typename T>T cross ( const Vector_struct < T , 2 >& lhs, const Vector_struct < T , 2 >& rhs): Returns the two-times-two determinant result for the two vectors lhs and rhs. More...
template< typename T> Vector < T , 3 > cross ( const Vector_struct < T , 3 >& lhs, const Vector_struct < T , 3 >& rhs): Returns the three-dimensional cross product result for the two vectors lhs and rhs. More...
Color degrees ( const Color& c): Converts elementwise radians in c to degrees. More...
Float32 degrees ( Float32 r): Converts radians r to degrees. More...
Float64 degrees ( Float64 r): Converts radians r to degrees. More...
Spectrum degrees ( const Spectrum& c): Converts elementwise radians in c to degrees. More...
template< typename T, Size> Vector < T , DIM > degrees ( const Vector_struct < T , DIM >& v): Converts elementwise radians in v to degrees. More...
Sint32 dot ( Sint32 a, Sint32 b): Returns the inner product (a.k.a. dot or scalar product) of two integers. More...
Float32 dot ( Float32 a, Float32 b): Returns the inner product (a.k.a. dot or scalar product) of two scalars. More...
Float64 dot ( Float64 a, Float64 b): Returns the inner product (a.k.a. dot or scalar product) of two scalars. More...
template< class V>V::value_type dot ( const V& lhs, const V& rhs): Returns the inner product (a.k.a. dot or scalar product) of two vectors. More...
template< typename T, Size> Vector < bool , DIM > elementwise_is_equal ( const Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Returns the boolean vector result of an elementwise equality comparison. More...
template< typename T, Size> Vector < bool , DIM > elementwise_is_greater_than ( const Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Returns the boolean vector result of an elementwise greater-than comparison. More...
template< typename T, Size> Vector < bool , DIM > elementwise_is_greater_than_or_equal ( const Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Returns the boolean vector result of an elementwise greater-than-or-equal comparison. More...
template< typename T, Size> Vector < bool , DIM > elementwise_is_less_than ( const Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Returns the boolean vector result of an elementwise less-than comparison. More...
template< typename T, Size> Vector < bool , DIM > elementwise_is_less_than_or_equal ( const Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Returns the boolean vector result of an elementwise less-than-or-equal comparison. More...
template< typename T, Size> Vector < bool , DIM > elementwise_is_not_equal ( const Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Returns the boolean vector result of an elementwise inequality comparison. More...
Color elementwise_max ( const Color& lhs, const Color& rhs): Returns elementwise max for each element in color lhs that is less than the corresponding element in color rhs. More...
Spectrum elementwise_max ( const Spectrum& lhs, const Spectrum& rhs): Returns elementwise max for each element in spectrum lhs that is less than the corresponding element in spectrum rhs. More...
template< typename T, Size> Vector < T , DIM > elementwise_max ( const Vector_struct < T , DIM >& lhs, const Vector_struct < T , DIM >& rhs): Returns elementwise maximum of two vectors. More...
Color elementwise_min ( const Color& lhs, const Color& rhs): Returns elementwise min for each element in color lhs that is less than the corresponding element in color rhs. More...
Spectrum elementwise_min ( const Spectrum& lhs, const Spectrum& rhs): Returns elementwise min for each element in spectrum lhs that is less than the corresponding element in spectrum rhs. More...
template< typename T, Size> Vector < T , DIM > elementwise_min ( const Vector_struct < T , DIM >& lhs, const Vector_struct < T , DIM >& rhs): Returns elementwise minimum of two vectors. More...
template< class V>V::value_type euclidean_distance ( const V& lhs, const V& rhs): Returns the Euclidean distance from the vector lhs to the vector rhs. More...
Color exp ( const Color& c): Returns a color with elementwise e to the power of the element in the color c. More...
Float32 exp ( Float32 s): Returns the constant e to the power of s (exponential function). More...
Float64 exp ( Float64 s): Returns the constant e to the power of s (exponential function). More...
Spectrum exp ( const Spectrum& c): Returns a spectrum with elementwise e to the power of the element in the spectrum c. More...
template< typename T, Size> Vector < T , DIM > exp ( const Vector_struct < T , DIM >& v): Returns a vector with elementwise e to the power of the element in the vector v. More...
Color exp2 ( const Color& c): Returns a color with elementwise 2 to the power of the element in the color c. More...
Float32 exp2 ( Float32 s): Returns the constant 2 to the power of s (exponential function). More...
Float64 exp2 ( Float64 s): Returns the constant 2 to the power of s (exponential function). More...
Spectrum exp2 ( const Spectrum& c): Returns a spectrum with elementwise 2 to the power of the element in the spectrum c. More...
template< typename T, Size> Vector < T , DIM > exp2 ( const Vector_struct < T , DIM >& v): Returns a vector with elementwise 2 to the power of the element in the vector v. More...
Float32 fast_exp ( Float32 x): A fast implementation of exp for floats. More...
Float32 fast_log2 ( Float32 i): A fast implementation of log2(x) for floats. More...
Float32 fast_pow ( Float32 b, Float32 e): A fast implementation of pow(x,y) for floats. More...
Float32 fast_pow2 ( Float32 x): A fast implementation of pow(2,x) for floats. More...
Float32 fast_sqrt ( Float32 i): A fast implementation of sqrt(x) for floats. More...
Color floor ( const Color& c): Returns a color with the elementwise largest integral value that is not greater than the element in color c. More...
Float32 floor ( Float32 s): Returns the largest integral value that is not greater than s. More...
Float64 floor ( Float64 s): Returns the largest integral value that is not greater than s. More...
Spectrum floor ( const Spectrum& c): Returns a spectrum with the elementwise largest integral value that is not greater than the element in spectrum c. More...
template< typename T, Size> Vector < T , DIM > floor ( const Vector_struct < T , DIM >& v): Returns a vector with the elementwise largest integral value that is not greater than the element in vector v. More...
Color fmod ( const Color& a, const Color& b): Returns elementwise a modulo b, in other words, the remainder of a/b. More...
Color fmod ( const Color& a, Float32 b): Returns elementwise a modulo b, in other words, the remainder of a/b. More...
Float32 fmod ( Float32 a, Float32 b): Returns a modulo b, in other words, the remainder of a/b. More...
Float64 fmod ( Float64 a, Float64 b): Returns a modulo b, in other words, the remainder of a/b. More...
Spectrum fmod ( const Spectrum& a, const Spectrum& b): Returns elementwise a modulo b, in other words, the remainder of a/b. More...
Spectrum fmod ( const Spectrum& a, Float32 b): Returns elementwise a modulo b, in other words, the remainder of a/b. More...
template< typename T, Size> Vector < T , DIM > fmod ( const Vector_struct < T , DIM >& a, const Vector_struct < T , DIM >& b): Returns elementwise a modulo b, in other words, the remainder of a/b. More...
template< typename T, Size> Vector < T , DIM > fmod ( const Vector_struct < T , DIM >& a, T b): Returns elementwise a modulo b, in other words, the remainder of a/b. More...
Color frac ( const Color& c): Returns a color with the elementwise positive fractional part of the color c. More...
Float32 frac ( Float32 s): Returns the positive fractional part of s. More...
Float64 frac ( Float64 s): Returns the positive fractional part of s. More...
Spectrum frac ( const Spectrum& c): Returns a spectrum with the elementwise positive fractional part of the spectrum c. More...
template< typename T, Size> Vector < T , DIM > frac ( const Vector_struct < T , DIM >& v): Returns a vector with the elementwise positive fractional part of the vector v. More...
MI_HOST_DEVICE_INLINE void from_rgbe ( const Uint8 rgbe[4], Color& color): Decodes a color from RGBE representation. More...
MI_HOST_DEVICE_INLINE void from_rgbe ( const Uint32 rgbe, Color& color): Decodes a color from RGBE representation. More...
MI_HOST_DEVICE_INLINE void from_rgbe ( const Uint8 rgbe[4], Float32 color[3]): Decodes a color from RGBE representation. More...
MI_HOST_DEVICE_INLINE void from_rgbe ( const Uint32 rgbe, Float32 color[3]): Decodes a color from RGBE representation. More...
MI_HOST_DEVICE_INLINE void from_rgbe ( const Uint8 rgbe[4], Spectrum& c): Decodes a color from RGBE representation. More...
MI_HOST_DEVICE_INLINE void from_rgbe ( const Uint32 rgbe, Spectrum& c): Decodes a color from RGBE representation. More...
Color gamma_correction ( const Color& color, Float32 gamma_factor): Returns a gamma corrected color. More...
Spectrum gamma_correction ( const Spectrum& spectrum, Float32 gamma_factor): Returns a gamma corrected spectrum. More...
bool is_approx_equal ( const Color& lhs, const Color& rhs, Float32 e): Compares the two given values elementwise for equality within the given epsilon. More...
bool is_approx_equal ( Float32 left, Float32 right, Float32 e): Compares the two given values for equality within the given epsilon. More...
bool is_approx_equal ( Float64 left, Float64 right, Float64 e): Compares the two given values for equality within the given epsilon. More...
bool is_approx_equal ( const Spectrum& lhs, const Spectrum& rhs, Float32 e): Compares the two given values elementwise for equality within the given epsilon. More...
template< typename T, Size>bool is_approx_equal ( const Vector_struct < T , DIM >& left, const Vector_struct < T , DIM >& right, T e): Compares the two given values elementwise for equality within the given epsilon. More...
template< class V>bool is_equal ( const V& lhs, const V& rhs): Returns true if vector lhs is elementwise equal to vector rhs, and false otherwise. More...
template< class V>bool is_not_equal ( const V& lhs, const V& rhs): Returns true if vector lhs is elementwise not equal to vector rhs, and false otherwise. More...
bool isfinite ( const Color& c): Indicates whether all components of the color are finite. More...
bool isfinite ( const Float32 x): Checks a single-precision floating point number for neither "not a number" nor "infinity". More...
bool isfinite ( const Float64 x): Checks a double-precision floating point number for neither "not a number" nor "infinity". More...
bool isfinite ( const Spectrum& c): Indicates whether all components of the spectrum are finite. More...
bool isinfinite ( const Color& c): Indicates whether any component of the color is infinite. More...
bool isinfinite ( const Float32 x): Checks a single-precision floating point number for "infinity". More...
bool isinfinite ( const Float64 x): Checks a double-precision floating point number for "infinity". More...
bool isinfinite ( const Spectrum& c): Indicates whether any component of the spectrum is infinite. More...
bool isnan ( const Color& c): Indicates whether any component of the color is "not a number". More...
bool isnan ( const Float32 x): Checks a single-precision floating point number for "not a number". More...
bool isnan ( const Float64 x): Checks a double-precision floating point number for "not a number". More...
bool isnan ( const Spectrum& c): Indicates whether any component of the spectrum is "not a number". More...
Uint32 leading_zeros ( Uint32 v): Returns the number of leading zeros of v, 32-bit version. More...
Uint32 leading_zeros ( Uint64 v): Returns the number of leading zeros of v, 64-bit version. More...
Float32 length ( Float32 a): Returns the Euclidean norm of the scalar a (its absolute value). More...
Float64 length ( Float64 a): Returns the Euclidean norm of the scalar a (its absolute value). More...
template< class V>V::value_type length ( const V& v): Returns the Euclidean norm of the vector v. More...
template< typename T, Size> Bbox < T , DIM > lerp ( const Bbox < T , DIM >& bbox1, const Bbox < T , DIM >& bbox2, T t): Returns the linear interpolation between bbox1 and bbox2, i.e., it returns (1-t) * bbox1 + t * bbox2. More...
Color lerp ( const Color& c1, const Color& c2, const Color& t): Returns the elementwise linear interpolation between c1 and c2, i.e., it returns (1-t) * c1 + t * c2. More...
Color lerp ( const Color& c1, const Color& c2, Float32 t): Returns the linear interpolation between c1 and c2, i.e., it returns (1-t) * c1 + t * c2. More...
Float32 lerp ( Float32 s1, Float32 s2, Float32 t): Returns the linear interpolation between s1 and s2, i.e., it returns (1-t) * s1 + t * s2. More...
Float64 lerp ( Float64 s1, Float64 s2, Float64 t): Returns the linear interpolation between s1 and s2, i.e., it returns (1-t) * s1 + t * s2. More...
Spectrum lerp ( const Spectrum& c1, const Spectrum& c2, const Spectrum& t): Returns the elementwise linear interpolation between c1 and c2, i.e., it returns (1-t) * c1 + t * c2. More...
Spectrum lerp ( const Spectrum& c1, const Spectrum& c2, Float32 t): Returns the linear interpolation between c1 and c2, i.e., it returns (1-t) * c1 + t * c2. More...
template< typename T, Size> Vector < T , DIM > lerp ( const Vector_struct < T , DIM >& v1, const Vector_struct < T , DIM >& v2, const Vector_struct < T , DIM >& t): Returns the elementwise linear interpolation between v1 and v2, i.e., it returns (1-t) * v1 + t * v2. More...
template< typename T, Size> Vector < T , DIM > lerp ( const Vector_struct < T , DIM >& v1, const Vector_struct < T , DIM >& v2, T t): Returns the linear interpolation between v1 and v2, i.e., it returns (1-t) * v1 + t * v2. More...
template< class V>Comparison_result lexicographically_compare ( const V& lhs, const V& rhs): Compares two vectors lexicographically. More...
template< class V>bool lexicographically_greater ( const V& lhs, const V& rhs): Returns true if vector lhs is lexicographically greater than vector rhs, and false otherwise. More...
template< class V>bool lexicographically_greater_or_equal ( const V& lhs, const V& rhs): Returns true if vector lhs is lexicographically greater than or equal to vector rhs, and false otherwise. More...
template< class V>bool lexicographically_less ( const V& lhs, const V& rhs): Returns true if vector lhs is lexicographically less than vector rhs, and false otherwise. More...
template< class V>bool lexicographically_less_or_equal ( const V& lhs, const V& rhs): Returns true if vector lhs is lexicographically less than or equal to vector rhs, and false otherwise. More...
Color log ( const Color& c): Returns a color with elementwise natural logarithm of the color c. More...
Float32 log ( Float32 s): Returns the natural logarithm of s. More...
Float64 log ( Float64 s): Returns the natural logarithm of s. More...
Spectrum log ( const Spectrum& c): Returns a spectrum with elementwise natural logarithm of the spectrum c. More...
template< typename T, Size> Vector < T , DIM > log ( const Vector_struct < T , DIM >& v): Returns a vector with the elementwise natural logarithm of the vector v. More...
Color log10 ( const Color& c): Returns a color with elementwise base 10 logarithm of the color c. More...
Float32 log10 ( Float32 s): Returns the base 10 logarithm of s. More...
Float64 log10 ( Float64 s): Returns the base 10 logarithm of s. More...
Spectrum log10 ( const Spectrum& c): Returns a spectrum with elementwise base 10 logarithm of the spectrum c. More...
template< typename T, Size> Vector < T , DIM > log10 ( const Vector_struct < T , DIM >& v): Returns a vector with the elementwise base 10 logarithm of the vector v. More...
Color log2 ( const Color& c): Returns a color with elementwise base 2 logarithm of the color c. More...
Float32 log2 ( Float32 s): Returns the base 2 logarithm of s. More...
Float64 log2 ( Float64 s): Returns the base 2 logarithm of s. More...
Spectrum log2 ( const Spectrum& c): Returns a spectrum with elementwise base 2 logarithm of the spectrum c. More...
template< typename T, Size> Vector < T , DIM > log2 ( const Vector_struct < T , DIM >& v): Returns a vector with the elementwise base 2 logarithm of the vector v. More...
Sint32 log2_int ( const Uint32 v): Returns the integer log2 of v. More...
Sint32 log2_int ( const Uint64 v): Returns the integer log2 of v. More...
Sint32 log2_int ( const Float32 v): Returns the integer log2 of v. More...
Sint32 log2_int ( const Float64 v): Returns the integer log2 of v. More...
template< typename Integer>Sint32 log2_int_ceil ( const Integer v): Returns the integer log2 of v, i.e., rounded up to the next integer. More...
template< typename T>void make_basis ( const Vector < T , 3 >& n, Vector < T , 3 >* u, Vector < T , 3 >* v): Computes a basis of 3D space with one given vector. More...
template< typename T>void make_basis ( const Vector < T , 3 >& n, const Vector < T , 3 >& u, const Vector < T , 3 >& v, Vector < T , 3 >* t, Vector < T , 3 >* b): Computes a basis of 3D space with one given vector, plane, and direction. More...
template< typename T, Size, Size>T* matrix_base_ptr ( Matrix_struct < T , ROW , COL >& mat): Returns the base pointer to the matrix data. More...
template< typename T, Size, Size>const T* matrix_base_ptr ( const Matrix_struct < T , ROW , COL >& mat): Returns the base pointer to the matrix data. More...
Color modf ( const Color& c, Color& i): Returns the elementwise fractional part of c and stores the elementwise integral part of c in i. More...
Float32 modf ( Float32 s, Float32& i): Returns the fractional part of s and stores the integral part of s in i. More...
Float64 modf ( Float64 s, Float64& i): Returns the fractional part of s and stores the integral part of s in i. More...
Spectrum modf ( const Spectrum& c, Spectrum& i): Returns the elementwise fractional part of c and stores the elementwise integral part of c in i. More...
template< typename T, Size> Vector < T , DIM > modf ( const Vector_struct < T , DIM >& v, Vector < T , DIM >& i): Returns the elementwise fractional part of v and stores the elementwise integral part of v in i. More...
template< Size> Vector < bool , DIM > operator! ( const Vector < bool , DIM >& vec): Returns the elementwise logical not of a boolean vector. More...
template< typename T, Size>bool operator!= ( const Bbox < T , DIM >& lhs, const Bbox < T , DIM >& rhs): Returns true if lhs is elementwise not equal to rhs. More...
bool operator!= ( const Color& lhs, const Color& rhs): Returns true if lhs is elementwise not equal to rhs. More...
template< typename T, Size, Size>bool operator!= ( const Matrix < T , ROW , COL >& lhs, const Matrix < T , ROW , COL >& rhs): Returns true if lhs is elementwise not equal to rhs. More...
bool operator!= ( const Spectrum& lhs, const Spectrum& rhs): Returns true if lhs is elementwise not equal to rhs. More...
template< typename T, Size> Vector < T , DIM > operator% ( const Vector_struct < T , DIM >& lhs, const Vector_struct < T , DIM >& rhs): Computes lhs modulo rhs elementwise and returns the new result. More...
template< typename T, Size> Vector < T , DIM > operator% ( const Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Computes lhs modulo rhs elementwise and returns the new result. More...
template< typename T, typename TT, Size> Vector < T , DIM > operator% ( const Vector_struct < T , DIM >& v, TT s): Computes v modulo s elementwise and returns the new result. More...
template< typename T, Size> Vector < T , DIM >& operator%= ( Vector < T , DIM >& lhs, const Vector_struct < T , DIM >& rhs): Computes lhs modulo rhs elementwise and returns the modified lhs. More...
template< typename T, Size> Vector < T , DIM >& operator%= ( Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Computes lhs modulo rhs elementwise and returns the modified lhs. More...
template< typename T, typename TT, Size> Vector < T , DIM >& operator%= ( Vector < T , DIM >& v, TT s): Computes v modulo s elementwise and returns the modified vector v. More...
template< Size> Vector < bool , DIM > operator&& ( const Vector < bool , DIM >& lhs, const Vector < bool , DIM >& rhs): Returns the elementwise logical and of two boolean vectors. More...
template< Size> Vector < bool , DIM > operator&& ( bool lhs, const Vector < bool , DIM >& rhs): Returns the elementwise logical and of a bool and a boolean vector. More...
template< Size> Vector < bool , DIM > operator&& ( const Vector < bool , DIM >& lhs, bool rhs): Returns the elementwise logical and of a boolean vector and a bool. More...
template< typename T, Size> Bbox < T , DIM > operator* ( const Bbox < T , DIM >& bbox, T factor): Returns a bounding box that is a version of bbox scaled by factor, i.e., bbox.max and bbox.min are multiplied by factor. More...
Color operator* ( const Color& lhs, const Color& rhs): Multiplies rhs elementwise with lhs and returns the new result. More...
Color operator* ( const Color& c, Float32 s): Multiplies the color c elementwise with the scalar s and returns the new result. More...
Color operator* ( Float32 s, const Color& c): Multiplies the color c elementwise with the scalar s and returns the new result. More...
template< typename T, Size, Size, Size, Size> Matrix < T , ROW1 , COL2 > operator* ( const Matrix < T , ROW1 , COL1 >& lhs, const Matrix < T , ROW2 , COL2 >& rhs): Performs matrix multiplication, lhs times rhs, and returns the new result. More...
template< typename T, Size, Size, Size> Vector < T , ROW > operator* ( const Matrix < T , ROW , COL >& mat, const Vector < T , DIM >& vec): Multiplies the (column) vector vec from the right with the matrix mat and returns the resulting vector. More...
template< Size, typename T, Size, Size> Vector < T , COL > operator* ( const Vector < T , DIM >& vec, const Matrix < T , ROW , COL >& mat): Multiplies the (row) vector vec from the left with the matrix mat and returns the resulting vector. More...
template< typename T, Size, Size> Matrix < T , ROW , COL > operator* ( const Matrix < T , ROW , COL >& mat, T factor): Multiplies the matrix mat elementwise with the scalar factor and returns the new result. More...
template< typename T, Size, Size> Matrix < T , ROW , COL > operator* ( T factor, const Matrix < T , ROW , COL >& mat): Multiplies the matrix mat elementwise with the scalar factor and returns the new result. More...
Spectrum operator* ( const Spectrum& lhs, const Spectrum& rhs): Multiplies rhs elementwise with lhs and returns the new result. More...
Spectrum operator* ( const Spectrum& c, Float32 s): Multiplies the spectrum c elementwise with the scalar s and returns the new result. More...
Spectrum operator* ( Float32 s, const Spectrum& c): Multiplies the spectrum c elementwise with the scalar s and returns the new result. More...
template< typename T, Size> Vector < T , DIM > operator* ( const Vector_struct < T , DIM >& lhs, const Vector_struct < T , DIM >& rhs): Multiplies rhs elementwise with lhs and returns the new result. More...
template< typename T, Size> Vector < T , DIM > operator* ( const Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Multiplies rhs elementwise with lhs and returns the new result. More...
template< typename T, typename TT, Size> Vector < T , DIM > operator* ( const Vector_struct < T , DIM >& v, TT s): Multiplies the vector v elementwise with the scalar s and returns the new result. More...
template< typename T, typename TT, Size> Vector < T , DIM > operator* ( TT s, const Vector_struct < T , DIM >& v): Multiplies the vector v elementwise with the scalar s and returns the new result. More...
template< typename T, Size> Bbox < T , DIM >& operator*= ( Bbox < T , DIM >& bbox, T factor): Scales bbox by factor, i.e., bbox.max and bbox.min are multiplied by factor. More...
Color& operator*= ( Color& lhs, const Color& rhs): Multiplies rhs elementwise with lhs and returns the modified lhs. More...
Color& operator*= ( Color& c, Float32 s): Multiplies the color c elementwise with the scalar s and returns the modified color c. More...
template< typename T, Size, Size> Matrix < T , ROW , COL >& operator*= ( Matrix < T , ROW , COL >& lhs, const Matrix < T , COL , COL >& rhs): Performs matrix multiplication, lhs times rhs, assigns it to lhs, and returns the modified lhs. More...
template< typename T, Size, Size> Matrix < T , ROW , COL >& operator*= ( Matrix < T , ROW , COL >& mat, T factor): Multiplies the matrix mat elementwise with the scalar factor and returns the modified matrix mat. More...
Spectrum& operator*= ( Spectrum& lhs, const Spectrum& rhs): Multiplies rhs elementwise with lhs and returns the modified lhs. More...
Spectrum& operator*= ( Spectrum& c, Float32 s): Multiplies the spectrum c elementwise with the scalar s and returns the modified spectrum c. More...
template< typename T, Size> Vector < T , DIM >& operator*= ( Vector < T , DIM >& lhs, const Vector_struct < T , DIM >& rhs): Multiplies rhs elementwise with lhs and returns the modified lhs. More...
template< typename T, Size> Vector < T , DIM >& operator*= ( Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Multiplies rhs elementwise with lhs and returns the modified lhs. More...
template< typename T, typename TT, Size> Vector < T , DIM >& operator*= ( Vector < T , DIM >& v, TT s): Multiplies the vector v elementwise with the scalar s and returns the modified vector v. More...
template< typename T, Size> Bbox < T , DIM > operator+ ( const Bbox < T , DIM >& bbox, T value): Returns a bounding box that is the bbox increased by a constant value at each face, i.e., value is added to bbox.max and subtracted from bbox.min. More...
Color operator+ ( const Color& lhs, const Color& rhs): Adds lhs and rhs elementwise and returns the new result. More...
template< typename T, Size, Size> Matrix < T , ROW , COL > operator+ ( const Matrix < T , ROW , COL >& lhs, const Matrix < T , ROW , COL >& rhs): Adds lhs and rhs elementwise and returns the new result. More...
Spectrum operator+ ( const Spectrum& lhs, const Spectrum& rhs): Adds lhs and rhs elementwise and returns the new result. More...
template< typename T, Size> Vector < T , DIM > operator+ ( const Vector_struct < T , DIM >& lhs, const Vector_struct < T , DIM >& rhs): Adds lhs and rhs elementwise and returns the new result. More...
template< typename T, Size> Vector < T , DIM > operator+ ( const Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Adds lhs and rhs elementwise and returns the new result. More...
template< typename T, Size> Vector < T , DIM >& operator++ ( Vector < T , DIM >& vec): Pre-increments all elements of vec and returns the result. Modifies vec. More...
template< typename T, Size> Bbox < T , DIM >& operator+= ( Bbox < T , DIM >& bbox, T value): Increases bbox by a constant value at each face, i.e., value is added to bbox.max and subtracted from bbox.min. More...
Color& operator+= ( Color& lhs, const Color& rhs): Adds rhs elementwise to lhs and returns the modified lhs. More...
template< typename T, Size, Size> Matrix < T , ROW , COL >& operator+= ( Matrix < T , ROW , COL >& lhs, const Matrix < T , ROW , COL >& rhs): Adds rhs elementwise to lhs and returns the modified lhs. More...
Spectrum& operator+= ( Spectrum& lhs, const Spectrum& rhs): Adds rhs elementwise to lhs and returns the modified lhs. More...
template< typename T, Size> Vector < T , DIM >& operator+= ( Vector < T , DIM >& lhs, const Vector_struct < T , DIM >& rhs): Adds rhs elementwise to lhs and returns the modified lhs. More...
template< typename T, Size> Vector < T , DIM >& operator+= ( Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Adds rhs elementwise to lhs and returns the modified lhs. More...
template< typename T, Size> Bbox < T , DIM > operator- ( const Bbox < T , DIM >& bbox, T value): Returns a bounding box that is the bbox shrunk by a constant value at each face, i.e., value is subtracted from bbox.max and added to bbox.min. More...
Color operator- ( const Color& lhs, const Color& rhs): Subtracts rhs elementwise from lhs and returns the new result. More...
Color operator- ( const Color& c): Negates the color c elementwise and returns the new result. More...
template< typename T, Size, Size> Matrix < T , ROW , COL > operator- ( const Matrix < T , ROW , COL >& lhs, const Matrix < T , ROW , COL >& rhs): Subtracts rhs elementwise from lhs and returns the new result. More...
template< typename T, Size, Size> Matrix < T , ROW , COL > operator- ( const Matrix < T , ROW , COL >& mat): Negates the matrix mat elementwise and returns the new result. More...
Spectrum operator- ( const Spectrum& lhs, const Spectrum& rhs): Subtracts rhs elementwise from lhs and returns the new result. More...
Spectrum operator- ( const Spectrum& c): Negates the spectrum c elementwise and returns the new result. More...
template< typename T, Size> Vector < T , DIM > operator- ( const Vector_struct < T , DIM >& lhs, const Vector_struct < T , DIM >& rhs): Subtracts rhs elementwise from lhs and returns the new result. More...
template< typename T, Size> Vector < T , DIM > operator- ( const Vector_struct < T , DIM >& v): Negates the vector v elementwise and returns the new result. More...
template< typename T, Size> Vector < T , DIM > operator- ( const Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Subtracts rhs elementwise from lhs and returns the new result. More...
template< typename T, Size> Vector < T , DIM > operator- ( const Vector < T , DIM >& v): Negates the vector v elementwise and returns the new result. More...
template< typename T, Size> Vector < T , DIM >& operator-- ( Vector < T , DIM >& vec): Pre-decrements all elements of vec and returns the result. Modifies vec. More...
template< typename T, Size> Bbox < T , DIM >& operator-= ( Bbox < T , DIM >& bbox, T value): Shrinks bbox by a constant value at each face, i.e., value is subtracted from bbox.max and added to bbox.min. More...
Color& operator-= ( Color& lhs, const Color& rhs): Subtracts rhs elementwise from lhs and returns the modified lhs. More...
template< typename T, Size, Size> Matrix < T , ROW , COL >& operator-= ( Matrix < T , ROW , COL >& lhs, const Matrix < T , ROW , COL >& rhs): Subtracts rhs elementwise from lhs and returns the modified lhs. More...
Spectrum& operator-= ( Spectrum& lhs, const Spectrum& rhs): Subtracts rhs elementwise from lhs and returns the modified lhs. More...
template< typename T, Size> Vector < T , DIM >& operator-= ( Vector < T , DIM >& lhs, const Vector_struct < T , DIM >& rhs): Subtracts rhs elementwise from lhs and returns the modified lhs. More...
template< typename T, Size> Vector < T , DIM >& operator-= ( Vector < T , DIM >& lhs, const Vector < T , DIM >& rhs): Subtracts rhs elementwise from lhs and returns the modified lhs. More...
template< typename T, Size> Bbox < T , DIM > operator/ ( const Bbox < T , DIM >& bbox, T divisor): Returns a bounding box that is a version of bbox divided by divisor, i.e., bbox.max and bbox.min are divided by divisor. More...
Color operator/ ( const Color& lhs, const Color& rhs): Divides rhs elementwise by lhs and returns the new result. More...
Color operator/ ( const Color& c, Float32 s): Divides the color c elementwise by the scalar s and returns the new result. More...
Spectrum operator/ ( const Spectrum& lhs, const Spectrum& rhs): Divides rhs elementwise by lhs and returns the new result. More...
Spectrum operator/ ( const Spectrum& c, Float32 s): Divides the spectrum c elementwise by the scalar s and returns the new result. More...
template< typename T, typename U, Size> Vector < T , DIM > operator/ ( const Vector_struct < T , DIM >& lhs, const Vector_struct & rhs): Divides rhs elementwise by lhs and returns the new result. More...
template< typename T, typename U, Size> Vector < T , DIM > operator/ ( const Vector < T , DIM >& lhs, const Vector & rhs): Divides rhs elementwise by lhs and returns the new result. More...
template< typename T, typename TT, Size> Vector < T , DIM > operator/ ( const Vector_struct < T , DIM >& v, TT s): Divides the vector v elementwise by the scalar s and returns the new result. More...
template< typename T, Size> Bbox < T , DIM >& operator/= ( Bbox < T , DIM >& bbox, T divisor): Divide bbox by divisor, i.e., bbox.max and bbox.min are divided by divisor. More...
Color& operator/= ( Color& lhs, const Color& rhs): Divides lhs elementwise by rhs and returns the modified lhs. More...
Color& operator/= ( Color& c, Float32 s): Divides the color c elementwise by the scalar s and returns the modified color c. More...
Spectrum& operator/= ( Spectrum& lhs, const Spectrum& rhs): Divides lhs elementwise by rhs and returns the modified lhs. More...
Spectrum& operator/= ( Spectrum& c, Float32 s): Divides the spectrum c elementwise by the scalar s and returns the modified spectrum c. More...
template< typename T, typename U, Size> Vector < T , DIM >& operator/= ( Vector < T , DIM >& lhs, const Vector_struct & rhs): Divides lhs elementwise by rhs and returns the modified lhs. More...
template< typename T, typename U, Size> Vector < T , DIM >& operator/= ( Vector < T , DIM >& lhs, const Vector & rhs): Divides lhs elementwise by rhs and returns the modified lhs. More...
template< typename T, typename TT, Size> Vector < T , DIM >& operator/= ( Vector < T , DIM >& v, TT s): Divides the vector v elementwise by the scalar s and returns the modified vector v. More...
template< typename T, Size>bool operator< ( const Bbox < T , DIM >& lhs, const Bbox < T , DIM >& rhs): Returns true if lhs is lexicographically less than rhs. More...
bool operator< ( const Color& lhs, const Color& rhs): Returns true if lhs is lexicographically less than rhs. More...
template< typename T, Size, Size>bool operator< ( const Matrix < T , ROW , COL >& lhs, const Matrix < T , ROW , COL >& rhs): Returns true if lhs is lexicographically less than rhs. More...
bool operator< ( const Spectrum& lhs, const Spectrum& rhs): Returns true if lhs is lexicographically less than rhs. More...
template< typename T, Size>bool operator<= ( const Bbox < T , DIM >& lhs, const Bbox < T , DIM >& rhs): Returns true if lhs is lexicographically less than or equal to rhs. More...
bool operator<= ( const Color& lhs, const Color& rhs): Returns true if lhs is lexicographically less than or equal to rhs. More...
template< typename T, Size, Size>bool operator<= ( const Matrix < T , ROW , COL >& lhs, const Matrix < T , ROW , COL >& rhs): Returns true if lhs is lexicographically less than or equal to rhs. More...
bool operator<= ( const Spectrum& lhs, const Spectrum& rhs): Returns true if lhs is lexicographically less than or equal to rhs. More...
template< typename T, Size>bool operator== ( const Bbox < T , DIM >& lhs, const Bbox < T , DIM >& rhs): Returns true if lhs is elementwise equal to rhs. More...
bool operator== ( const Color& lhs, const Color& rhs): Returns true if lhs is elementwise equal to rhs. More...
template< typename T, Size, Size>bool operator== ( const Matrix < T , ROW , COL >& lhs, const Matrix < T , ROW , COL >& rhs): Returns true if lhs is elementwise equal to rhs. More...
bool operator== ( const Spectrum& lhs, const Spectrum& rhs): Returns true if lhs is elementwise equal to rhs. More...
template< typename T, Size>bool operator> ( const Bbox < T , DIM >& lhs, const Bbox < T , DIM >& rhs): Returns true if lhs is lexicographically greater than rhs. More...
bool operator> ( const Color& lhs, const Color& rhs): Returns true if lhs is lexicographically greater than rhs. More...
template< typename T, Size, Size>bool operator> ( const Matrix < T , ROW , COL >& lhs, const Matrix < T , ROW , COL >& rhs): Returns true if lhs is lexicographically greater than rhs. More...
bool operator> ( const Spectrum& lhs, const Spectrum& rhs): Returns true if lhs is lexicographically greater than rhs. More...
template< typename T, Size>bool operator>= ( const Bbox < T , DIM >& lhs, const Bbox < T , DIM >& rhs): Returns true if lhs is lexicographically greater than or equal to rhs. More...
bool operator>= ( const Color& lhs, const Color& rhs): Returns true if lhs is lexicographically greater than or equal to rhs. More...
template< typename T, Size, Size>bool operator>= ( const Matrix < T , ROW , COL >& lhs, const Matrix < T , ROW , COL >& rhs): Returns true if lhs is lexicographically greater than or equal to rhs. More...
bool operator>= ( const Spectrum& lhs, const Spectrum& rhs): Returns true if lhs is lexicographically greater than or equal to rhs. More...
template< Size> Vector < bool , DIM > operator^ ( const Vector < bool , DIM >& lhs, const Vector < bool , DIM >& rhs): Returns the elementwise logical xor of two boolean vectors. More...
template< Size> Vector < bool , DIM > operator^ ( bool lhs, const Vector < bool , DIM >& rhs): Returns the elementwise logical xor of a bool and a boolean vector. More...
template< Size> Vector < bool , DIM > operator^ ( const Vector < bool , DIM >& lhs, bool rhs): Returns the elementwise logical xor of a boolean vector and a bool. More...
template< Size> Vector < bool , DIM > operator|| ( const Vector < bool , DIM >& lhs, const Vector < bool , DIM >& rhs): Returns the elementwise logical or of two boolean vectors. More...
template< Size> Vector < bool , DIM > operator|| ( bool lhs, const Vector < bool , DIM >& rhs): Returns the elementwise logical or of a bool and a boolean vector. More...
template< Size> Vector < bool , DIM > operator|| ( const Vector < bool , DIM >& lhs, bool rhs): Returns the elementwise logical or of a boolean vector and a bool. More...
Color pow ( const Color& a, const Color& b): Returns the color a elementwise to the power of b. More...
Color pow ( const Color& a, Float32 b): Returns the color a elementwise to the power of b. More...
Uint32 pow ( Uint32 a, Uint32 b): Returns a to the power of b. More...
Uint64 pow ( Uint64 a, Uint64 b): Returns a to the power of b. More...
Sint32 pow ( Sint32 a, Sint32 b): Returns a to the power of b. More...
Sint64 pow ( Sint64 a, Sint64 b): Returns a to the power of b. More...
Float32 pow ( Float32 a, Float32 b): Returns a to the power of b. More...
Float64 pow ( Float64 a, Float64 b): Returns a to the power of b. More...
Spectrum pow ( const Spectrum& a, const Spectrum& b): Returns the spectrum a elementwise to the power of b. More...
Spectrum pow ( const Spectrum& a, Float32 b): Returns the spectrum a elementwise to the power of b. More...
template< typename T, Size> Vector < T , DIM > pow ( const Vector_struct < T , DIM >& a, const Vector_struct < T , DIM >& b): Returns the vector a elementwise to the power of b. More...
template< typename T, Size> Vector < T , DIM > pow ( const Vector_struct < T , DIM >& a, T b): Returns the vector a elementwise to the power of b. More...
Color radians ( const Color& c): Converts elementwise degrees in c to radians. More...
Float32 radians ( Float32 d): Converts degrees d to radians. More...
Float64 radians ( Float64 d): Converts degrees d to radians. More...
Spectrum radians ( const Spectrum& c): Converts elementwise degrees in c to radians. More...
template< typename T, Size> Vector < T , DIM > radians ( const Vector_struct < T , DIM >& v): Converts elementwise degrees in v to radians. More...
Color round ( const Color& c): Returns a color with the elements of color c rounded to nearest integers. More...
Float32 round ( Float32 s): Returns s rounded to the nearest integer value. More...
Float64 round ( Float64 s): Returns s rounded to the nearest integer value. More...
Spectrum round ( const Spectrum& c): Returns a spectrum with the elements of spectrum c rounded to nearest integers. More...
template< typename T, Size> Vector < T , DIM > round ( const Vector_struct < T , DIM >& v): Returns a vector with the elements of vector v rounded to nearest integers. More...
Color rsqrt ( const Color& c): Returns the reciprocal of the square root of each element of c. More...
Float32 rsqrt ( Float32 s): Returns the reciprocal of the square root of s. More...
Float64 rsqrt ( Float64 s): Returns the reciprocal of the square root of s. More...
Spectrum rsqrt ( const Spectrum& c): Returns the reciprocal of the square root of each element of c. More...
template< typename T, Size> Vector < T , DIM > rsqrt ( const Vector_struct < T , DIM >& v): Returns the reciprocal of the square root of each element of v. More...
Color saturate ( const Color& c): Returns the color c clamped elementwise to the range [0,1]. More...
Float32 saturate ( Float32 s): Returns the value s clamped to the range [0,1]. More...
Float64 saturate ( Float64 s): Returns the value s clamped to the range [0,1]. More...
Spectrum saturate ( const Spectrum& c): Returns the spectrum c clamped elementwise to the range [0,1]. More...
template< typename T, Size> Vector < T , DIM > saturate ( const Vector_struct < T , DIM >& v): Returns the vector v clamped elementwise to the range [0,1]. More...
template< class V>void set_bounds ( V& v, const V& low, const V& high): Bounds the value of vector v elementwise to the given low and high vector values. More...
Color sign ( const Color& c): Returns the elementwise sign of color c. More...
Sint8 sign ( Sint8 s): Returns -1 if s<0, 0 if s==0, and +1 if s>0. More...
Sint16 sign ( Sint16 s): Returns -1 if s<0, 0 if s==0, and +1 if s>0. More...
Sint32 sign ( Sint32 s): Returns -1 if s<0, 0 if s==0, and +1 if s>0. More...
Sint64 sign ( Sint64 s): Returns -1 if s<0, 0 if s==0, and +1 if s>0. More...
Float32 sign ( Float32 s): Returns -1 if s<0, 0 if s==0, and +1 if s>0. More...
Float64 sign ( Float64 s): Returns -1 if s<0, 0 if s==0, and +1 if s>0. More...
Spectrum sign ( const Spectrum& c): Returns the elementwise sign of spectrum c. More...
template< typename T, Size> Vector < T , DIM > sign ( const Vector_struct < T , DIM >& v): Returns the elementwise sign of vector v. More...
bool sign_bit ( Sint8 s): Returns true if s<0 and false if s>= 0. More...
bool sign_bit ( Sint16 s): Returns true if s<0 and false if s>= 0. More...
bool sign_bit ( Sint32 s): Returns true if s<0 and false if s>= 0. More...
bool sign_bit ( Sint64 s): Returns true if s<0 and false if s>= 0. More...
bool sign_bit ( Float32 s): Extracts the sign bit of a single-precision floating point number. More...
bool sign_bit ( Float64 s): Extracts the sign bit of a double-precision floating point number. More...
Color sin ( const Color& c): Returns a color with the elementwise sine of the color c. More...
Float32 sin ( Float32 a): Returns the sine of a. The angle a is specified in radians. More...
Float64 sin ( Float64 a): Returns the sine of a. The angle a is specified in radians. More...
Spectrum sin ( const Spectrum& c): Returns a spectrum with the elementwise sine of the spectrum c. More...
template< typename T, Size> Vector < T , DIM > sin ( const Vector_struct < T , DIM >& v): Returns a vector with the elementwise sine of the vector v. More...
void sincos ( const Color& a, Color& s, Color& c): Computes elementwise the sine s and cosine c of angles a simultaneously. More...
void sincos ( Float32 a, Float32& s, Float32& c): Computes the sine s and cosine c of angle a simultaneously. More...
void sincos ( Float64 a, Float64& s, Float64& c): Computes the sine s and cosine c of angle a simultaneously. More...
void sincos ( const Spectrum& a, Spectrum& s, Spectrum& c): Computes elementwise the sine s and cosine c of angles a simultaneously. More...
template< typename T, Size>void sincos ( const Vector_struct < T , DIM >& a, Vector < T , DIM >& s, Vector < T , DIM >& c): Computes elementwise the sine s and cosine c of angles a simultaneously. More...
Color smoothstep ( const Color& a, const Color& b, const Color& c): Returns 0 if c is less than a and 1 if c is greater than b in an elementwise fashion. More...
Color smoothstep ( const Color& a, const Color& b, Float32 x): Returns 0 if c is less than a and 1 if c is greater than b in an elementwise fashion. More...
Float32 smoothstep ( Float32 a, Float32 b, Float32 x): Returns 0 if x is less than a and 1 if x is greater than b. More...
Float64 smoothstep ( Float64 a, Float64 b, Float64 x): Returns 0 if x is less than a and 1 if x is greater than b. More...
Spectrum smoothstep ( const Spectrum& a, const Spectrum& b, const Spectrum& c): Returns 0 if c is less than a and 1 if c is greater than b in an elementwise fashion. More...
Spectrum smoothstep ( const Spectrum& a, const Spectrum& b, Float32 x): Returns 0 if c is less than a and 1 if c is greater than b in an elementwise fashion. More...
template< typename T, Size> Vector < T , DIM > smoothstep ( const Vector_struct < T , DIM >& a, const Vector_struct < T , DIM >& b, const Vector_struct < T , DIM >& v): Returns 0 if v is less than a and 1 if v is greater than b in an elementwise fashion. More...
template< typename T, Size> Vector < T , DIM > smoothstep ( const Vector_struct < T , DIM >& a, const Vector_struct < T , DIM >& b, T x): Returns 0 if x is less than a and 1 if x is greater than b in an elementwise fashion. More...
Color sqrt ( const Color& c): Returns the square root of each element of c. More...
Float32 sqrt ( Float32 s): Returns the square root of s. More...
Float64 sqrt ( Float64 s): Returns the square root of s. More...
Spectrum sqrt ( const Spectrum& c): Returns the square root of each element of c. More...
template< typename T, Size> Vector < T , DIM > sqrt ( const Vector_struct < T , DIM >& v): Returns the square root of each element of v. More...
template< class V>V::value_type square_euclidean_distance ( const V& lhs, const V& rhs): Returns the squared Euclidean distance from the vector lhs to the vector rhs. More...
template< class V>V::value_type square_length ( const V& v): Returns the squared Euclidean norm of the vector v. More...
Color step ( const Color& a, const Color& c): Returns elementwise 0 if c is less than a and 1 otherwise. More...
Float32 step ( Float32 a, Float32 x): Returns 0 if x is less than a and 1 otherwise. More...
Float64 step ( Float64 a, Float64 x): Returns 0 if x is less than a and 1 otherwise. More...
Spectrum step ( const Spectrum& a, const Spectrum& c): Returns elementwise 0 if c is less than a and 1 otherwise. More...
template< typename T, Size> Vector < T , DIM > step ( const Vector_struct < T , DIM >& a, const Vector_struct < T , DIM >& v): Returns elementwise 0 if v is less than a and 1 otherwise. More...
template< Size, Size, typename T, Size, Size> Matrix < T , NEW_ROW , NEW_COL > sub_matrix ( const Matrix < T , ROW , COL >& mat): Returns the upper-left sub-matrix of size NEW_ROW times NEW_COL. More...
Color tan ( const Color& c): Returns a color with the elementwise tangent of the color c. More...
Float32 tan ( Float32 a): Returns the tangent of a. The angle a is specified in radians. More...
Float64 tan ( Float64 a): Returns the tangent of a. The angle a is specified in radians. More...
Spectrum tan ( const Spectrum& c): Returns a spectrum with the elementwise tangent of the spectrum c. More...
template< typename T, Size> Vector < T , DIM > tan ( const Vector_struct < T , DIM >& v): Returns a vector with the elementwise tangent of the vector v. More...
MI_HOST_DEVICE_INLINE void to_rgbe ( const Color& color, Uint32& rgbe): Encodes a color into RGBE representation. More...
MI_HOST_DEVICE_INLINE void to_rgbe ( const Color& color, Uint8 rgbe[4]): Encodes a color into RGBE representation. More...
MI_HOST_DEVICE_INLINE void to_rgbe ( const Float32 color[3], Uint32& rgbe): Encodes a color into RGBE representation. More...
MI_HOST_DEVICE_INLINE void to_rgbe ( const Float32 color[3], Uint8 rgbe[4]): Encodes a color into RGBE representation. More...
MI_HOST_DEVICE_INLINE void to_rgbe ( const Spectrum& c, Uint32& rgbe): Encodes a spectrum into RGBE representation. More...
MI_HOST_DEVICE_INLINE void to_rgbe ( const Spectrum& c, Uint8 rgbe[4]): Encodes a spectrum into RGBE representation. More...
template< typename T, typename U> Vector transform_normal ( const Matrix < T , 4 , 4 >& mat, const Vector & normal): Returns a transformed 3D normal vector by applying the 3x3 transposed linear sub-transformation in the inverse of the 4x4 matrix mat on the 3D normal vector normal. More...
template< typename T, typename U> Vector transform_normal_inv ( const Matrix < T , 3 , 3 >& inv_mat, const Vector & normal): Returns an inverse transformed 3D normal vector by applying the 3x3 transposed linear transformation in the matrix inv_mat on the 3D normal vector normal. More...
template< typename T, typename U> Vector transform_normal_inv ( const Matrix < T , 4 , 4 >& inv_mat, const Vector & normal): Returns an inverse transformed 3D normal vector by applying the 3x3 transposed linear sub-transformation in the 4x4 matrix inv_mat on the 3D normal vector normal. More...
template< typename TT, typename T> Bbox < T , 3 > transform_point ( const Matrix < TT , 4 , 4 >& mat, const Bbox < T , 3 >& bbox): Returns the 3D bounding box transformed by a matrix. More...
template< typename T, typename U>U transform_point ( const Matrix < T , 4 , 4 >& mat, const U& point): Returns a transformed 1D point by applying the full transformation in the 4x4 matrix mat on the 1D point point, which includes the translation. More...
template< typename T, typename U> Vector transform_point ( const Matrix < T , 4 , 4 >& mat, const Vector & point): Returns a transformed 2D point by applying the full transformation in the 4x4 matrix mat on the 2D point point, which includes the translation. More...
template< typename T, typename U> Vector transform_point ( const Matrix < T , 4 , 3 >& mat, const Vector & point): Returns a transformed 3D point by applying the full transformation in the 4x3 matrix mat on the 3D point point, which includes the translation. More...
template< typename T, typename U> Vector transform_point ( const Matrix < T , 4 , 4 >& mat, const Vector & point): Returns a transformed 3D point by applying the full transformation in the 4x4 matrix mat on the 3D point point, which includes the translation. More...
template< typename T, typename U> Vector transform_point ( const Matrix < T , 4 , 4 >& mat, const Vector & point): Returns a transformed 4D point by applying the full transformation in the 4x4 matrix mat on the 4D point point, which includes the translation. More...
template< typename TT, typename T> Bbox < T , 3 > transform_vector ( const Matrix < TT , 4 , 4 >& mat, const Bbox < T , 3 >& bbox): Returns the 3D bounding box transformed by a matrix. More...
template< typename T, typename U>U transform_vector ( const Matrix < T , 4 , 4 >& mat, const U& vector): Returns a transformed 1D vector by applying the 1x1 linear sub-transformation in the 4x4 matrix mat on the 1D vector vector, which excludes the translation. More...
template< typename T, typename U> Vector transform_vector ( const Matrix < T , 4 , 4 >& mat, const Vector & vector): Returns a transformed 2D vector by applying the 2x2 linear sub-transformation in the 4x4 matrix mat on the 2D vector vector, which excludes the translation. More...
template< typename T, typename U> Vector transform_vector ( const Matrix < T , 3 , 3 >& mat, const Vector & vector): Returns a transformed 3D vector by applying the 3x3 matrix mat transformation on the 3D vector vector. More...
template< typename T, typename U> Vector transform_vector ( const Matrix < T , 4 , 3 >& mat, const Vector & vector): Returns a transformed 3D vector by applying the 3x3 linear sub-transformation in the 4x3 matrix mat on the 3D vector vector, which excludes the translation. More...
template< typename T, typename U> Vector transform_vector ( const Matrix < T , 4 , 4 >& mat, const Vector & vector): Returns a transformed 3D vector by applying the 3x3 linear sub-transformation in the 4x4 matrix mat on the 3D vector vector, which excludes the translation. More...
template< typename T, Size, Size> Matrix < T , COL , ROW > transpose ( const Matrix < T , ROW , COL >& mat): Returns the transpose of the matrix mat by exchanging rows and columns. More...
template< typename T, Size>T* vector_base_ptr ( Vector_struct < T , DIM >& vec): Returns the base pointer to the vector data. More...
template< typename T, Size>const T* vector_base_ptr ( const Vector_struct < T , DIM >& vec): Returns the base pointer to the vector data. More...
template< typename T>T* vector_base_ptr ( Vector_struct < T , 1 >& vec): Returns the base pointer to the vector data, specialization for DIM==1. More...
template< typename T>const T* vector_base_ptr ( const Vector_struct < T , 1 >& vec): Returns the base pointer to the vector data, specialization for DIM==1. More...
template< typename T>T* vector_base_ptr ( Vector_struct < T , 2 >& vec): Returns the base pointer to the vector data, specialization for DIM==2. More...
template< typename T>const T* vector_base_ptr ( const Vector_struct < T , 2 >& vec): Returns the base pointer to the vector data, specialization for DIM==2. More...
template< typename T>T* vector_base_ptr ( Vector_struct < T , 3 >& vec): Returns the base pointer to the vector data, specialization for DIM==3. More...
template< typename T>const T* vector_base_ptr ( const Vector_struct < T , 3 >& vec): Returns the base pointer to the vector data, specialization for DIM==3. More...
template< typename T>T* vector_base_ptr ( Vector_struct < T , 4 >& vec): Returns the base pointer to the vector data, specialization for DIM==4. More...
template< typename T>const T* vector_base_ptr ( const Vector_struct < T , 4 >& vec): Returns the base pointer to the vector data, specialization for DIM==4. More...

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mi::math Namespace Reference

[Math API]

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