spectrum.h

Go to the documentation of this file.

/***************************************************************************************************
 * Copyright 2024 NVIDIA Corporation. All rights reserved.
 **************************************************************************************************/
 
#ifndef MI_MATH_SPECTRUM_H
#define MI_MATH_SPECTRUM_H
 
#include <mi/base/types.h>
#include <mi/math/assert.h>
#include <mi/math/function.h>
#include <mi/math/vector.h>
#include <mi/math/color.h>
 
namespace mi {
 
namespace math {
 
//------ Spectrum Class ---------------------------------------------------------
 
class Spectrum : public Spectrum_struct
{
public:
    typedef Spectrum_struct   Pod_type;         
    typedef Spectrum_struct   storage_type;     
    typedef Float32           value_type;       
    typedef Size              size_type;        
    typedef Difference        difference_type;  
    typedef Float32 *         pointer;          
    typedef const Float32 *   const_pointer;    
    typedef Float32 &         reference;        
    typedef const Float32 &   const_reference;  
 
    static const Size SIZE      = 3;            
 
    static inline Size size()     { return SIZE; }
 
    static inline Size max_size() { return SIZE; }
 
    inline Float32*        begin()       { return &c[0]; }
 
    inline const Float32*  begin() const { return &c[0]; }
 
    inline Float32*        end()         { return begin() + SIZE; }
 
    inline const Float32*  end() const   { return begin() + SIZE; }
 
    inline Spectrum()
    {
#if defined(DEBUG) || (defined(_MSC_VER) && _MSC_VER <= 1310)
        // In debug mode, default-constructed spectra are initialized with signaling NaNs or, if not
        // applicable, with a maximum value to increase the chances of diagnosing incorrect use of
        // an uninitialized spectrum.
        //
        // When compiling with Visual C++ 7.1 or earlier, this code is enabled in all variants to
        // work around a very obscure compiler bug that causes the compiler to crash.
        typedef mi::base::numeric_traits<Float32> Traits;
        Float32 v = (Traits::has_signaling_NaN)
            ? Traits::signaling_NaN() : Traits::max MI_PREVENT_MACRO_EXPAND ();
        for( Size i = 0; i < SIZE; ++i)
            c[i] = v;
#endif
    }
 
#if (__cplusplus >= 201103L)
    Spectrum( const Spectrum& s) = default;
 
    Spectrum& operator=( const Spectrum& s) = default;
#endif
 
    inline Spectrum( const Spectrum_struct& s)
    {
        for( Size i = 0; i < SIZE; ++i)
            c[i] = s.c[i];
    }
 
 
    inline explicit Spectrum( const Float32 s)
    {
        for( Size i = 0; i < SIZE; ++i)
            c[i] = s;
    }
 
    inline Spectrum( Float32 nr, Float32 ng, Float32 nb)
    {
        c[0] = nr;
        c[1] = ng;
        c[2] = nb;
    }
 
    inline explicit Spectrum( const Vector<Float32,3>& v3)
    {
        c[0] = v3[0];
        c[1] = v3[1];
        c[2] = v3[2];
    }
 
    inline explicit Spectrum( const Vector<Float32,4>& v4)
    {
        c[0] = v4[0];
        c[1] = v4[1];
        c[2] = v4[2];
    }
 
    inline explicit Spectrum( const Color& col)
    {
        c[0] = col.r;
        c[1] = col.g;
        c[2] = col.b;
    }
 
    inline Vector<Float32,3> to_vector3() const
    {
        Vector<Float32,3> result;
        result[0] = c[0];
        result[1] = c[1];
        result[2] = c[2];
        return result;
    }
 
    inline Vector<Float32,4> to_vector4() const
    {
        Vector<Float32,4> result;
        result[0] = c[0];
        result[1] = c[1];
        result[2] = c[2];
        result[3] = 1.0;
        return result;
    }
 
    MI_HOST_DEVICE_INLINE const Float32& operator[]( Size i) const
    {
        mi_math_assert_msg( i < SIZE, "precondition");
        return c[i];
    }
 
    MI_HOST_DEVICE_INLINE Float32& operator[]( Size i)
    {
        mi_math_assert_msg( i < SIZE, "precondition");
        return c[i];
    }
 
 
    inline Float32 get( Size i) const
    {
        mi_math_assert_msg( i < SIZE, "precondition");
        return c[i];
    }
 
    inline void set( Size i, Float32 value)
    {
        mi_math_assert_msg( i < SIZE, "precondition");
        c[i] = value;
    }
 
    inline bool is_black() const
    {
        for( Size i = 0; i < SIZE; ++i)
            if( c[i] != 0.0f)
                return false;
        return true;
    }
 
    inline Float32 linear_intensity() const
    {
        Float32 sum = 0.f;
        for( Size i = 0; i < SIZE; ++i)
            sum += c[i];
        return sum / Float32( SIZE);
    }
};
 
//------ Free comparison operators ==, !=, <, <=, >, >= for spectra  ------------
 
inline bool  operator==( const Spectrum& lhs, const Spectrum& rhs)
{
    return is_equal( lhs, rhs);
}
 
inline bool  operator!=( const Spectrum& lhs, const Spectrum& rhs)
{
    return is_not_equal( lhs, rhs);
}
 
inline bool operator<( const Spectrum& lhs, const Spectrum& rhs)
{
    return lexicographically_less( lhs, rhs);
}
 
inline bool operator<=( const Spectrum& lhs, const Spectrum& rhs)
{
    return lexicographically_less_or_equal( lhs, rhs);
}
 
inline bool operator>( const Spectrum& lhs, const Spectrum& rhs)
{
    return lexicographically_greater( lhs, rhs);
}
 
inline bool operator>=( const Spectrum& lhs, const Spectrum& rhs)
{
    return lexicographically_greater_or_equal( lhs, rhs);
}
 
 
 
//------ Free operators +=, -=, *=, /=, +, -, *, and / for spectra --------------
 
inline Spectrum& operator+=( Spectrum& lhs, const Spectrum& rhs)
{
    mi_math_assert_msg( lhs.size() == 3, "precondition");
    mi_math_assert_msg( rhs.size() == 3, "precondition");
    lhs[0] += rhs[0];
    lhs[1] += rhs[1];
    lhs[2] += rhs[2];
    return lhs;
}
 
inline Spectrum& operator-=( Spectrum& lhs, const Spectrum& rhs)
{
    mi_math_assert_msg( lhs.size() == 3, "precondition");
    mi_math_assert_msg( rhs.size() == 3, "precondition");
    lhs[0] -= rhs[0];
    lhs[1] -= rhs[1];
    lhs[2] -= rhs[2];
    return lhs;
}
 
inline Spectrum& operator*=( Spectrum& lhs, const Spectrum& rhs)
{
    mi_math_assert_msg( lhs.size() == 3, "precondition");
    mi_math_assert_msg( rhs.size() == 3, "precondition");
    lhs[0] *= rhs[0];
    lhs[1] *= rhs[1];
    lhs[2] *= rhs[2];
    return lhs;
}
 
inline Spectrum& operator/=( Spectrum& lhs, const Spectrum& rhs)
{
    mi_math_assert_msg( lhs.size() == 3, "precondition");
    mi_math_assert_msg( rhs.size() == 3, "precondition");
    lhs[0] /= rhs[0];
    lhs[1] /= rhs[1];
    lhs[2] /= rhs[2];
    return lhs;
}
 
inline Spectrum operator+( const Spectrum& lhs, const Spectrum& rhs)
{
    mi_math_assert_msg( lhs.size() == 3, "precondition");
    mi_math_assert_msg( rhs.size() == 3, "precondition");
    return Spectrum( lhs[0] + rhs[0], lhs[1] + rhs[1], lhs[2] + rhs[2]);
}
 
inline Spectrum operator-( const Spectrum& lhs, const Spectrum& rhs)
{
    mi_math_assert_msg( lhs.size() == 3, "precondition");
    mi_math_assert_msg( rhs.size() == 3, "precondition");
    return Spectrum( lhs[0] - rhs[0], lhs[1] - rhs[1], lhs[2] - rhs[2]);
}
 
inline Spectrum operator*( const Spectrum& lhs, const Spectrum& rhs)
{
    mi_math_assert_msg( lhs.size() == 3, "precondition");
    mi_math_assert_msg( rhs.size() == 3, "precondition");
    return Spectrum( lhs[0] * rhs[0], lhs[1] * rhs[1], lhs[2] * rhs[2]);
}
 
inline Spectrum operator/( const Spectrum& lhs, const Spectrum& rhs)
{
    mi_math_assert_msg( lhs.size() == 3, "precondition");
    mi_math_assert_msg( rhs.size() == 3, "precondition");
    return Spectrum( lhs[0] / rhs[0], lhs[1] / rhs[1], lhs[2] / rhs[2]);
}
 
inline Spectrum operator-( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( -c[0], -c[1], -c[2]);
}
 
 
 
//------ Free operator *=, /=, *, and / definitions for scalars ---------------
 
inline Spectrum& operator*=( Spectrum& c, Float32 s)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    c[0] *= s;
    c[1] *= s;
    c[2] *= s;
    return c;
}
 
inline Spectrum& operator/=( Spectrum& c, Float32 s)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    const Float32 f = 1.0f / s;
    c[0] *= f;
    c[1] *= f;
    c[2] *= f;
    return c;
}
 
inline Spectrum operator*( const Spectrum& c, Float32 s)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( c[0] * s, c[1] * s, c[2] * s);
}
 
inline Spectrum operator*( Float32 s, const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( s * c[0], s * c[1], s* c[2]);
}
 
inline Spectrum operator/( const Spectrum& c, Float32 s)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    Float32 f = 1.0f / s;
    return Spectrum( c[0] * f, c[1] * f, c[2] * f);
}
 
 
//------ Function Overloads for Spectrum Algorithms ------------------------------
 
 
inline Spectrum abs( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( abs( c[0]), abs( c[1]), abs( c[2]));
}
 
inline Spectrum acos( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( acos( c[0]), acos( c[1]), acos( c[2]));
}
 
inline bool all( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return (c[0] != 0.0f) && (c[1] != 0.0f) && (c[2] != 0.0f);
}
 
inline bool any( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return (c[0] != 0.0f) || (c[1] != 0.0f) || (c[2] != 0.0f);
}
 
inline Spectrum asin( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( asin( c[0]), asin( c[1]), asin( c[2]));
}
 
inline Spectrum atan( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( atan( c[0]), atan( c[1]), atan( c[2]));
}
 
inline Spectrum atan2( const Spectrum& c, const Spectrum& d)
{
    mi_math_assert_msg( c.size() == 3 && d.size() == 3, "precondition");
    return Spectrum( atan2( c[0], d[0]), atan2( c[1], d[1]), atan2( c[2], d[2]));
}
 
inline Spectrum ceil( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( ceil( c[0]), ceil( c[1]), ceil( c[2]));
}
 
inline Spectrum clamp( const Spectrum& c, const Spectrum& low, const Spectrum& high)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    mi_math_assert_msg( low.size() == 3, "precondition");
    mi_math_assert_msg( high.size() == 3, "precondition");
    return Spectrum( clamp( c[0], low[0], high[0]),
                     clamp( c[1], low[1], high[1]),
                     clamp( c[2], low[2], high[2]));
}
 
inline Spectrum clamp( const Spectrum& c, const Spectrum& low, Float32 high)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    mi_math_assert_msg( low.size() == 3, "precondition");
    return Spectrum( clamp( c[0], low[0], high),
                     clamp( c[1], low[1], high),
                     clamp( c[2], low[2], high));
}
 
inline Spectrum clamp( const Spectrum& c, Float32 low, const Spectrum& high)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    mi_math_assert_msg( high.size() == 3, "precondition");
    return Spectrum( clamp( c[0], low, high[0]),
                     clamp( c[1], low, high[1]),
                     clamp( c[2], low, high[2]));
}
 
inline Spectrum clamp( const Spectrum& c, Float32 low, Float32 high)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( clamp( c[0], low, high),
                     clamp( c[1], low, high),
                     clamp( c[2], low, high));
}
 
inline Spectrum cos( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( cos( c[0]), cos( c[1]), cos( c[2]));
}
 
inline Spectrum degrees( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( degrees( c[0]), degrees( c[1]), degrees( c[2]));
}
 
inline Spectrum elementwise_max( const Spectrum& lhs, const Spectrum& rhs)
{
    mi_math_assert_msg( lhs.size() == 3, "precondition");
    mi_math_assert_msg( rhs.size() == 3, "precondition");
    return Spectrum( base::max MI_PREVENT_MACRO_EXPAND ( lhs[0], rhs[0]),
                     base::max MI_PREVENT_MACRO_EXPAND ( lhs[1], rhs[1]),
                     base::max MI_PREVENT_MACRO_EXPAND ( lhs[2], rhs[2]));
}
 
inline Spectrum elementwise_min( const Spectrum& lhs, const Spectrum& rhs)
{
    mi_math_assert_msg( lhs.size() == 3, "precondition");
    mi_math_assert_msg( rhs.size() == 3, "precondition");
    return Spectrum( base::min MI_PREVENT_MACRO_EXPAND ( lhs[0], rhs[0]),
                     base::min MI_PREVENT_MACRO_EXPAND ( lhs[1], rhs[1]),
                     base::min MI_PREVENT_MACRO_EXPAND ( lhs[2], rhs[2]));
}
 
inline Spectrum exp( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( exp( c[0]), exp( c[1]), exp( c[2]));
}
 
inline Spectrum exp2( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( exp2( c[0]), exp2( c[1]), exp2( c[2]));
}
 
inline Spectrum floor( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( floor( c[0]), floor( c[1]), floor( c[2]));
}
 
inline Spectrum fmod( const Spectrum& a, const Spectrum& b)
{
    mi_math_assert_msg( a.size() == 3, "precondition");
    mi_math_assert_msg( b.size() == 3, "precondition");
    return Spectrum( fmod( a[0], b[0]), fmod( a[1], b[1]), fmod( a[2], b[2]));
}
 
inline Spectrum fmod( const Spectrum& a, Float32 b)
{
    mi_math_assert_msg( a.size() == 3, "precondition");
    return Spectrum( fmod( a[0], b), fmod( a[1], b), fmod( a[2], b));
}
 
inline Spectrum frac( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( frac( c[0]), frac( c[1]), frac( c[2]));
}
 
inline Spectrum gamma_correction(
    const Spectrum& spectrum,    
    Float32 gamma_factor)        
{
    mi_math_assert_msg( spectrum.size() == 3, "precondition");
    mi_math_assert( gamma_factor > 0);
    const Float32 f = Float32(1.0) / gamma_factor;
    return Spectrum( fast_pow( spectrum[0], f),
                     fast_pow( spectrum[1], f),
                     fast_pow( spectrum[2], f));
}
 
inline bool is_approx_equal(
    const Spectrum& lhs,
    const Spectrum& rhs,
    Float32         e)
{
    mi_math_assert_msg( lhs.size() == 3, "precondition");
    mi_math_assert_msg( rhs.size() == 3, "precondition");
    return is_approx_equal( lhs[0], rhs[0], e)
        && is_approx_equal( lhs[1], rhs[1], e)
        && is_approx_equal( lhs[2], rhs[2], e);
}
 
inline Spectrum lerp(
    const Spectrum& c1,  
    const Spectrum& c2,  
    const Spectrum& t)   
{
    mi_math_assert_msg( c1.size() == 3, "precondition");
    mi_math_assert_msg( c2.size() == 3, "precondition");
    mi_math_assert_msg( t.size() == 3, "precondition");
    return Spectrum( lerp( c1[0], c2[0], t[0]),
                     lerp( c1[1], c2[1], t[1]),
                     lerp( c1[2], c2[2], t[2]));
}
 
inline Spectrum lerp(
    const Spectrum& c1,  
    const Spectrum& c2,  
    Float32         t)   
{
    mi_math_assert_msg( c1.size() == 3, "precondition");
    mi_math_assert_msg( c2.size() == 3, "precondition");
    // equivalent to: return c1 * (Float32(1)-t) + c2 * t;
    return Spectrum( lerp( c1[0], c2[0], t),
                     lerp( c1[1], c2[1], t),
                     lerp( c1[2], c2[2], t));
}
 
inline Spectrum log( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( log( c[0]), log( c[1]), log( c[2]));
}
 
inline Spectrum log2 MI_PREVENT_MACRO_EXPAND ( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( log2 MI_PREVENT_MACRO_EXPAND (c[0]),
                     log2 MI_PREVENT_MACRO_EXPAND (c[1]),
                     log2 MI_PREVENT_MACRO_EXPAND (c[2]));
}
 
inline Spectrum log10( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( log10( c[0]), log10( c[1]), log10( c[2]));
}
 
inline Spectrum modf( const Spectrum& c, Spectrum& i)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    mi_math_assert_msg( i.size() == 3, "precondition");
    return Spectrum( modf( c[0], i[0]), modf( c[1], i[1]), modf( c[2], i[2]));
}
 
inline Spectrum pow( const Spectrum& a,  const Spectrum& b)
{
    mi_math_assert_msg( a.size() == 3, "precondition");
    mi_math_assert_msg( b.size() == 3, "precondition");
    return Spectrum( pow( a[0], b[0]), pow( a[1], b[1]), pow( a[2], b[2]));
}
 
inline Spectrum pow( const Spectrum& a,  Float32 b)
{
    mi_math_assert_msg( a.size() == 3, "precondition");
    return Spectrum( pow( a[0], b), pow( a[1], b), pow( a[2], b));
}
 
inline Spectrum radians( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( radians( c[0]), radians( c[1]), radians( c[2]));
}
 
inline Spectrum round( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( round( c[0]), round( c[1]), round( c[2]));
}
 
inline Spectrum rsqrt( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( rsqrt( c[0]), rsqrt( c[1]), rsqrt( c[2]));
}
 
inline Spectrum saturate( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( saturate( c[0]), saturate( c[1]), saturate( c[2]));
}
 
inline Spectrum sign( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( sign( c[0]), sign( c[1]), sign( c[2]));
}
 
inline Spectrum sin( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( sin( c[0]), sin( c[1]), sin( c[2]));
}
 
inline void sincos( const Spectrum& a, Spectrum& s, Spectrum& c)
{
    mi_math_assert_msg( a.size() == 3, "precondition");
    mi_math_assert_msg( s.size() == 3, "precondition");
    mi_math_assert_msg( c.size() == 3, "precondition");
    sincos( a[0], s[0], c[0]);
    sincos( a[1], s[1], c[1]);
    sincos( a[2], s[2], c[2]);
}
 
inline Spectrum smoothstep( const Spectrum& a, const Spectrum& b, const Spectrum& c)
{
    mi_math_assert_msg( a.size() == 3, "precondition");
    mi_math_assert_msg( b.size() == 3, "precondition");
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( smoothstep( a[0], b[0], c[0]),
                     smoothstep( a[1], b[1], c[1]),
                     smoothstep( a[2], b[2], c[2]));
}
 
inline Spectrum smoothstep( const Spectrum& a, const Spectrum& b, Float32 x)
{
    mi_math_assert_msg( a.size() == 3, "precondition");
    mi_math_assert_msg( b.size() == 3, "precondition");
    return Spectrum( smoothstep( a[0], b[0], x),
                     smoothstep( a[1], b[1], x),
                     smoothstep( a[2], b[2], x));
}
 
inline Spectrum sqrt( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( sqrt( c[0]), sqrt( c[1]), sqrt( c[2]));
}
 
inline Spectrum step( const Spectrum& a, const Spectrum& c)
{
    mi_math_assert_msg( a.size() == 3, "precondition");
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( step( a[0], c[0]), step( a[1], c[1]), step( a[1], c[2]));
}
 
inline Spectrum tan( const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return Spectrum( tan( c[0]), tan( c[1]), tan( c[2]));
}
 
inline bool isfinite MI_PREVENT_MACRO_EXPAND (const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return isfinite MI_PREVENT_MACRO_EXPAND (c[0])
        && isfinite MI_PREVENT_MACRO_EXPAND (c[1])
        && isfinite MI_PREVENT_MACRO_EXPAND (c[2]);
}
 
inline bool isinfinite MI_PREVENT_MACRO_EXPAND (const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return isinfinite MI_PREVENT_MACRO_EXPAND (c[0])
        || isinfinite MI_PREVENT_MACRO_EXPAND (c[1])
        || isinfinite MI_PREVENT_MACRO_EXPAND (c[2]);
}
 
inline bool isnan MI_PREVENT_MACRO_EXPAND (const Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    return isnan MI_PREVENT_MACRO_EXPAND (c[0])
        || isnan MI_PREVENT_MACRO_EXPAND (c[1])
        || isnan MI_PREVENT_MACRO_EXPAND (c[2]);
}
 
 void to_rgbe( const Spectrum& c, Uint32& rgbe)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    to_rgbe( &c[0], rgbe);
}
 
 void to_rgbe( const Spectrum& c, Uint8 rgbe[4])
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    to_rgbe( &c[0], rgbe);
}
 
 void from_rgbe( const Uint8 rgbe[4], Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    from_rgbe( rgbe, &c[0]);
}
 
 void from_rgbe( const Uint32 rgbe, Spectrum& c)
{
    mi_math_assert_msg( c.size() == 3, "precondition");
    from_rgbe( rgbe, &c[0]);
}
 // end group mi_math_spectrum
 
} // namespace math
 
} // namespace mi
 
#endif // MI_MATH_SPECTRUM_H