NAME

       refract - calculate the refraction direction for an incident vector

DECLARATION

       genType refract(genType I, genType N, float eta);

       genDType refract(genDType I, genDType N, float eta);

PARAMETERS

       I
           Specifies the incident vector.

       N
           Specifies the normal vector.

       eta
           Specifies the ratio of indices of refraction.

DESCRIPTION

       For a given incident vector I, surface normal N and ratio of indices of refraction, eta, refract returns
       the refraction vector, R.

       R is calculated as:

               k = 1.0 - eta * eta * (1.0 - dot(N, I) * dot(N, I));
               if (k < 0.0)
                   R = genType(0.0);       // or genDType(0.0)
               else
                   R = eta * I - (eta * dot(N, I) + sqrt(k)) * N;

       The input parameters I and N should be normalized in order to achieve the desired result.

VERSION SUPPORT

       ┌────────────┬───────────────────────────────────────────────────────────────────────────────────┐
       │            │        OpenGL Shading Language Version                                            │
       ├────────────┼──────┬──────┬──────┬──────┬──────┬──────┬──────┬──────┬──────┬──────┬──────┬──────┤
       │ Function   │ 1.10 │ 1.20 │ 1.30 │ 1.40 │ 1.50 │ 3.30 │ 4.00 │ 4.10 │ 4.20 │ 4.30 │ 4.40 │ 4.50 │
       │ Name       │      │      │      │      │      │      │      │      │      │      │      │      │
       ├────────────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┤
       │ refract    │  ✔   │  ✔   │  ✔   │  ✔   │  ✔   │  ✔   │  ✔   │  ✔   │  ✔   │  ✔   │  ✔   │  ✔   │
       │ (genType)  │      │      │      │      │      │      │      │      │      │      │      │      │
       ├────────────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────┤
       │ refract    │  -   │  -   │  -   │  -   │  -   │  -   │  ✔   │  ✔   │  ✔   │  ✔   │  ✔   │  ✔   │
       │ (genDType) │      │      │      │      │      │      │      │      │      │      │      │      │
       └────────────┴──────┴──────┴──────┴──────┴──────┴──────┴──────┴──────┴──────┴──────┴──────┴──────┘

SEE ALSO

       dot(), reflect()

COPYRIGHT

       Copyright © 2011-2014 Khronos Group. This material may be distributed subject to the terms and conditions
       set forth in the Open Publication License, v 1.0, 8 June 1999.  http://opencontent.org/openpub/.

COPYRIGHT

       Copyright © 2011-2014 Khronos Group

[FIXME: source]                                    11/18/2024                                        REFRACT(3G)