@luma.gl/shadertools/src/modules/fp32/fp32.js

Shader module system for luma.gl

/** @typedef {import('../../types').ShaderModule} ShaderModule */

const fp32shader = `\
#ifdef LUMA_FP32_TAN_PRECISION_WORKAROUND

// All these functions are for substituting tan() function from Intel GPU only
const float TWO_PI = 6.2831854820251465;
const float PI_2 = 1.5707963705062866;
const float PI_16 = 0.1963495463132858;

const float SIN_TABLE_0 = 0.19509032368659973;
const float SIN_TABLE_1 = 0.3826834261417389;
const float SIN_TABLE_2 = 0.5555702447891235;
const float SIN_TABLE_3 = 0.7071067690849304;

const float COS_TABLE_0 = 0.9807852506637573;
const float COS_TABLE_1 = 0.9238795042037964;
const float COS_TABLE_2 = 0.8314695954322815;
const float COS_TABLE_3 = 0.7071067690849304;

const float INVERSE_FACTORIAL_3 = 1.666666716337204e-01; // 1/3!
const float INVERSE_FACTORIAL_5 = 8.333333767950535e-03; // 1/5!
const float INVERSE_FACTORIAL_7 = 1.9841270113829523e-04; // 1/7!
const float INVERSE_FACTORIAL_9 = 2.75573188446287533e-06; // 1/9!

float sin_taylor_fp32(float a) {
  float r, s, t, x;

  if (a == 0.0) {
    return 0.0;
  }

  x = -a * a;
  s = a;
  r = a;

  r = r * x;
  t = r * INVERSE_FACTORIAL_3;
  s = s + t;

  r = r * x;
  t = r * INVERSE_FACTORIAL_5;
  s = s + t;

  r = r * x;
  t = r * INVERSE_FACTORIAL_7;
  s = s + t;

  r = r * x;
  t = r * INVERSE_FACTORIAL_9;
  s = s + t;

  return s;
}

void sincos_taylor_fp32(float a, out float sin_t, out float cos_t) {
  if (a == 0.0) {
    sin_t = 0.0;
    cos_t = 1.0;
  }
  sin_t = sin_taylor_fp32(a);
  cos_t = sqrt(1.0 - sin_t * sin_t);
}

float tan_taylor_fp32(float a) {
    float sin_a;
    float cos_a;

    if (a == 0.0) {
        return 0.0;
    }

    // 2pi range reduction
    float z = floor(a / TWO_PI);
    float r = a - TWO_PI * z;

    float t;
    float q = floor(r / PI_2 + 0.5);
    int j = int(q);

    if (j < -2 || j > 2) {
        return 1.0 / 0.0;
    }

    t = r - PI_2 * q;

    q = floor(t / PI_16 + 0.5);
    int k = int(q);
    int abs_k = int(abs(float(k)));

    if (abs_k > 4) {
        return 1.0 / 0.0;
    } else {
        t = t - PI_16 * q;
    }

    float u = 0.0;
    float v = 0.0;

    float sin_t, cos_t;
    float s, c;
    sincos_taylor_fp32(t, sin_t, cos_t);

    if (k == 0) {
        s = sin_t;
        c = cos_t;
    } else {
        if (abs(float(abs_k) - 1.0) < 0.5) {
            u = COS_TABLE_0;
            v = SIN_TABLE_0;
        } else if (abs(float(abs_k) - 2.0) < 0.5) {
            u = COS_TABLE_1;
            v = SIN_TABLE_1;
        } else if (abs(float(abs_k) - 3.0) < 0.5) {
            u = COS_TABLE_2;
            v = SIN_TABLE_2;
        } else if (abs(float(abs_k) - 4.0) < 0.5) {
            u = COS_TABLE_3;
            v = SIN_TABLE_3;
        }
        if (k > 0) {
            s = u * sin_t + v * cos_t;
            c = u * cos_t - v * sin_t;
        } else {
            s = u * sin_t - v * cos_t;
            c = u * cos_t + v * sin_t;
        }
    }

    if (j == 0) {
        sin_a = s;
        cos_a = c;
    } else if (j == 1) {
        sin_a = c;
        cos_a = -s;
    } else if (j == -1) {
        sin_a = -c;
        cos_a = s;
    } else {
        sin_a = -s;
        cos_a = -c;
    }
    return sin_a / cos_a;
}
#endif

float tan_fp32(float a) {
#ifdef LUMA_FP32_TAN_PRECISION_WORKAROUND
  return tan_taylor_fp32(a);
#else
  return tan(a);
#endif
}
`;

export const fp32 = {
  name: 'fp32',
  vs: fp32shader,
  fs: null
};