compiler/nir/nir_lower_double_ops.c

/*
 * Copyright © 2015 Intel Corporation
 *
 * Permission is hereby granted, free of charge, to any person obtaining a
 * copy of this software and associated documentation files (the "Software"),
 * to deal in the Software without restriction, including without limitation
 * the rights to use, copy, modify, merge, publish, distribute, sublicense,
 * and/or sell copies of the Software, and to permit persons to whom the
 * Software is furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice (including the next
 * paragraph) shall be included in all copies or substantial portions of the
 * Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL
 * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
 * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
 * IN THE SOFTWARE.
 *
 */

#include "nir.h"
#include "nir_builder.h"

#include <float.h>
#include <math.h>

/*
 * Lowers some unsupported double operations, using only:
 *
 * - pack/unpackDouble2x32
 * - conversion to/from single-precision
 * - double add, mul, and fma
 * - conditional select
 * - 32-bit integer and floating point arithmetic
 */

/* Creates a double with the exponent bits set to a given integer value */
static nir_def *
set_exponent(nir_builder *b, nir_def *src, nir_def *exp)
{
   /* Split into bits 0-31 and 32-63 */
   nir_def *lo = nir_unpack_64_2x32_split_x(b, src);
   nir_def *hi = nir_unpack_64_2x32_split_y(b, src);

   /* The exponent is bits 52-62, or 20-30 of the high word, so set the exponent
    * to 1023
    */
   nir_def *new_hi = nir_bitfield_insert(b, hi, exp,
                                         nir_imm_int(b, 20),
                                         nir_imm_int(b, 11));
   /* recombine */
   return nir_pack_64_2x32_split(b, lo, new_hi);
}

static nir_def *
get_exponent(nir_builder *b, nir_def *src)
{
   /* get bits 32-63 */
   nir_def *hi = nir_unpack_64_2x32_split_y(b, src);

   /* extract bits 20-30 of the high word */
   return nir_ubitfield_extract(b, hi, nir_imm_int(b, 20), nir_imm_int(b, 11));
}

/* Return infinity with the sign of the given source which is +/-0 */

static nir_def *
get_signed_inf(nir_builder *b, nir_def *zero)
{
   nir_def *zero_hi = nir_unpack_64_2x32_split_y(b, zero);

   /* The bit pattern for infinity is 0x7ff0000000000000, where the sign bit
    * is the highest bit. Only the sign bit can be non-zero in the passed in
    * source. So we essentially need to OR the infinity and the zero, except
    * the low 32 bits are always 0 so we can construct the correct high 32
    * bits and then pack it together with zero low 32 bits.
    */
   nir_def *inf_hi = nir_ior_imm(b, zero_hi, 0x7ff00000);
   return nir_pack_64_2x32_split(b, nir_imm_int(b, 0), inf_hi);
}

/*
 * Generates the correctly-signed infinity if the source was zero, and flushes
 * the result to 0 if the source was infinity or the calculated exponent was
 * too small to be representable.
 */

static nir_def *
fix_inv_result(nir_builder *b, nir_def *res, nir_def *src,
               nir_def *exp)
{
   /* If the exponent is too small or the original input was infinity/NaN,
    * force the result to 0 (flush denorms) to avoid the work of handling
    * denorms properly. Note that this doesn't preserve positive/negative
    * zeros, but GLSL doesn't require it.
    */
   res = nir_bcsel(b, nir_ior(b, nir_ile_imm(b, exp, 0), nir_feq_imm(b, nir_fabs(b, src), INFINITY)),
                   nir_imm_double(b, 0.0f), res);

   /* If the original input was 0, generate the correctly-signed infinity */
   res = nir_bcsel(b, nir_fneu_imm(b, src, 0.0f),
                   res, get_signed_inf(b, src));

   return res;
}

static nir_def *
lower_rcp(nir_builder *b, nir_def *src)
{
   /* normalize the input to avoid range issues */
   nir_def *src_norm = set_exponent(b, src, nir_imm_int(b, 1023));

   /* cast to float, do an rcp, and then cast back to get an approximate
    * result
    */
   nir_def *ra = nir_f2f64(b, nir_frcp(b, nir_f2f32(b, src_norm)));

   /* Fixup the exponent of the result - note that we check if this is too
    * small below.
    */
   nir_def *new_exp = nir_isub(b, get_exponent(b, ra),
                               nir_iadd_imm(b, get_exponent(b, src),
                                            -1023));

   ra = set_exponent(b, ra, new_exp);

   /* Do a few Newton-Raphson steps to improve precision.
    *
    * Each step doubles the precision, and we started off with around 24 bits,
    * so we only need to do 2 steps to get to full precision. The step is:
    *
    * x_new = x * (2 - x*src)
    *
    * But we can re-arrange this to improve precision by using another fused
    * multiply-add:
    *
    * x_new = x + x * (1 - x*src)
    *
    * See https://en.wikipedia.org/wiki/Division_algorithm for more details.
    */

   ra = nir_ffma(b, nir_fneg(b, ra), nir_ffma_imm2(b, ra, src, -1), ra);
   ra = nir_ffma(b, nir_fneg(b, ra), nir_ffma_imm2(b, ra, src, -1), ra);

   return fix_inv_result(b, ra, src, new_exp);
}

static nir_def *
lower_sqrt_rsq(nir_builder *b, nir_def *src, bool sqrt)
{
   /* We want to compute:
    *
    * 1/sqrt(m * 2^e)
    *
    * When the exponent is even, this is equivalent to:
    *
    * 1/sqrt(m) * 2^(-e/2)
    *
    * and then the exponent is odd, this is equal to:
    *
    * 1/sqrt(m * 2) * 2^(-(e - 1)/2)
    *
    * where the m * 2 is absorbed into the exponent. So we want the exponent
    * inside the square root to be 1 if e is odd and 0 if e is even, and we
    * want to subtract off e/2 from the final exponent, rounded to negative
    * infinity. We can do the former by first computing the unbiased exponent,
    * and then AND'ing it with 1 to get 0 or 1, and we can do the latter by
    * shifting right by 1.
    */

   nir_def *unbiased_exp = nir_iadd_imm(b, get_exponent(b, src),
                                        -1023);
   nir_def *even = nir_iand_imm(b, unbiased_exp, 1);
   nir_def *half = nir_ishr_imm(b, unbiased_exp, 1);

   nir_def *src_norm = set_exponent(b, src,
                                    nir_iadd_imm(b, even, 1023));

   nir_def *ra = nir_f2f64(b, nir_frsq(b, nir_f2f32(b, src_norm)));
   nir_def *new_exp = nir_isub(b, get_exponent(b, ra), half);
   ra = set_exponent(b, ra, new_exp);

   /*
    * The following implements an iterative algorithm that's very similar
    * between sqrt and rsqrt. We start with an iteration of Goldschmit's
    * algorithm, which looks like:
    *
    * a = the source
    * y_0 = initial (single-precision) rsqrt estimate
    *
    * h_0 = .5 * y_0
    * g_0 = a * y_0
    * r_0 = .5 - h_0 * g_0
    * g_1 = g_0 * r_0 + g_0
    * h_1 = h_0 * r_0 + h_0
    *
    * Now g_1 ~= sqrt(a), and h_1 ~= 1/(2 * sqrt(a)). We could continue
    * applying another round of Goldschmit, but since we would never refer
    * back to a (the original source), we would add too much rounding error.
    * So instead, we do one last round of Newton-Raphson, which has better
    * rounding characteristics, to get the final rounding correct. This is
    * split into two cases:
    *
    * 1. sqrt
    *
    * Normally, doing a round of Newton-Raphson for sqrt involves taking a
    * reciprocal of the original estimate, which is slow since it isn't
    * supported in HW. But we can take advantage of the fact that we already
    * computed a good estimate of 1/(2 * g_1) by rearranging it like so:
    *
    * g_2 = .5 * (g_1 + a / g_1)
    *     = g_1 + .5 * (a / g_1 - g_1)
    *     = g_1 + (.5 / g_1) * (a - g_1^2)
    *     = g_1 + h_1 * (a - g_1^2)
    *
    * The second term represents the error, and by splitting it out we can get
    * better precision by computing it as part of a fused multiply-add. Since
    * both Newton-Raphson and Goldschmit approximately double the precision of
    * the result, these two steps should be enough.
    *
    * 2. rsqrt
    *
    * First off, note that the first round of the Goldschmit algorithm is
    * really just a Newton-Raphson step in disguise:
    *
    * h_1 = h_0 * (.5 - h_0 * g_0) + h_0
    *     = h_0 * (1.5 - h_0 * g_0)
    *     = h_0 * (1.5 - .5 * a * y_0^2)
    *     = (.5 * y_0) * (1.5 - .5 * a * y_0^2)
    *
    * which is the standard formula multiplied by .5. Unlike in the sqrt case,
    * we don't need the inverse to do a Newton-Raphson step; we just need h_1,
    * so we can skip the calculation of g_1. Instead, we simply do another
    * Newton-Raphson step:
    *
    * y_1 = 2 * h_1
    * r_1 = .5 - h_1 * y_1 * a
    * y_2 = y_1 * r_1 + y_1
    *
    * Where the difference from Goldschmit is that we calculate y_1 * a
    * instead of using g_1. Doing it this way should be as fast as computing
    * y_1 up front instead of h_1, and it lets us share the code for the
    * initial Goldschmit step with the sqrt case.
    *
    * Putting it together, the computations are:
    *
    * h_0 = .5 * y_0
    * g_0 = a * y_0
    * r_0 = .5 - h_0 * g_0
    * h_1 = h_0 * r_0 + h_0
    * if sqrt:
    *    g_1 = g_0 * r_0 + g_0
    *    r_1 = a - g_1 * g_1
    *    g_2 = h_1 * r_1 + g_1
    * else:
    *    y_1 = 2 * h_1
    *    r_1 = .5 - y_1 * (h_1 * a)
    *    y_2 = y_1 * r_1 + y_1
    *
    * For more on the ideas behind this, see "Software Division and Square
    * Root Using Goldschmit's Algorithms" by Markstein and the Wikipedia page
    * on square roots
    * (https://en.wikipedia.org/wiki/Methods_of_computing_square_roots).
    */

   nir_def *one_half = nir_imm_double(b, 0.5);
   nir_def *h_0 = nir_fmul(b, one_half, ra);
   nir_def *g_0 = nir_fmul(b, src, ra);
   nir_def *r_0 = nir_ffma(b, nir_fneg(b, h_0), g_0, one_half);
   nir_def *h_1 = nir_ffma(b, h_0, r_0, h_0);
   nir_def *res;
   if (sqrt) {
      nir_def *g_1 = nir_ffma(b, g_0, r_0, g_0);
      nir_def *r_1 = nir_ffma(b, nir_fneg(b, g_1), g_1, src);
      res = nir_ffma(b, h_1, r_1, g_1);
   } else {
      nir_def *y_1 = nir_fmul_imm(b, h_1, 2.0);
      nir_def *r_1 = nir_ffma(b, nir_fneg(b, y_1), nir_fmul(b, h_1, src),
                              one_half);
      res = nir_ffma(b, y_1, r_1, y_1);
   }

   if (sqrt) {
      /* Here, the special cases we need to handle are
       * 0 -> 0 and
       * +inf -> +inf
       */
      const bool preserve_denorms =
         b->shader->info.float_controls_execution_mode &
         FLOAT_CONTROLS_DENORM_PRESERVE_FP64;
      nir_def *src_flushed = src;
      if (!preserve_denorms) {
         src_flushed = nir_bcsel(b,
                                 nir_flt_imm(b, nir_fabs(b, src), DBL_MIN),
                                 nir_imm_double(b, 0.0),
                                 src);
      }
      res = nir_bcsel(b, nir_ior(b, nir_feq_imm(b, src_flushed, 0.0), nir_feq_imm(b, src, INFINITY)),
                      src_flushed, res);
   } else {
      res = fix_inv_result(b, res, src, new_exp);
   }

   return res;
}

static nir_def *
lower_trunc(nir_builder *b, nir_def *src)
{
   nir_def *unbiased_exp = nir_iadd_imm(b, get_exponent(b, src),
                                        -1023);

   nir_def *frac_bits = nir_isub_imm(b, 52, unbiased_exp);

   /*
    * Decide the operation to apply depending on the unbiased exponent:
    *
    * if (unbiased_exp < 0)
    *    return 0
    * else if (unbiased_exp > 52)
    *    return src
    * else
    *    return src & (~0 << frac_bits)
    *
    * Notice that the else branch is a 64-bit integer operation that we need
    * to implement in terms of 32-bit integer arithmetics (at least until we
    * support 64-bit integer arithmetics).
    */

   /* Compute "~0 << frac_bits" in terms of hi/lo 32-bit integer math */
   nir_def *mask_lo =
      nir_bcsel(b,
                nir_ige_imm(b, frac_bits, 32),
                nir_imm_int(b, 0),
                nir_ishl(b, nir_imm_int(b, ~0), frac_bits));

   nir_def *mask_hi =
      nir_bcsel(b,
                nir_ilt_imm(b, frac_bits, 33),
                nir_imm_int(b, ~0),
                nir_ishl(b,
                         nir_imm_int(b, ~0),
                         nir_iadd_imm(b, frac_bits, -32)));

   nir_def *src_lo = nir_unpack_64_2x32_split_x(b, src);
   nir_def *src_hi = nir_unpack_64_2x32_split_y(b, src);

   return nir_bcsel(b,
                    nir_ilt_imm(b, unbiased_exp, 0),
                    nir_imm_double(b, 0.0),
                    nir_bcsel(b, nir_ige_imm(b, unbiased_exp, 53),
                              src,
                              nir_pack_64_2x32_split(b,
                                                     nir_iand(b, mask_lo, src_lo),
                                                     nir_iand(b, mask_hi, src_hi))));
}

static nir_def *
lower_floor(nir_builder *b, nir_def *src)
{
   /*
    * For x >= 0, floor(x) = trunc(x)
    * For x < 0,
    *    - if x is integer, floor(x) = x
    *    - otherwise, floor(x) = trunc(x) - 1
    */
   nir_def *tr = nir_ftrunc(b, src);
   nir_def *positive = nir_fge_imm(b, src, 0.0);
   return nir_bcsel(b,
                    nir_ior(b, positive, nir_feq(b, src, tr)),
                    tr,
                    nir_fadd_imm(b, tr, -1.0));
}

static nir_def *
lower_ceil(nir_builder *b, nir_def *src)
{
   /* if x < 0,                    ceil(x) = trunc(x)
    * else if (x - trunc(x) == 0), ceil(x) = x
    * else,                        ceil(x) = trunc(x) + 1
    */
   nir_def *tr = nir_ftrunc(b, src);
   nir_def *negative = nir_flt_imm(b, src, 0.0);
   return nir_bcsel(b,
                    nir_ior(b, negative, nir_feq(b, src, tr)),
                    tr,
                    nir_fadd_imm(b, tr, 1.0));
}

static nir_def *
lower_fract(nir_builder *b, nir_def *src)
{
   return nir_fsub(b, src, nir_ffloor(b, src));
}

static nir_def *
lower_round_even(nir_builder *b, nir_def *src)
{
   /* Add and subtract 2**52 to round off any fractional bits. */
   nir_def *two52 = nir_imm_double(b, (double)(1ull << 52));
   nir_def *sign = nir_iand_imm(b, nir_unpack_64_2x32_split_y(b, src),
                                1ull << 31);

   b->exact = true;
   nir_def *res = nir_fsub(b, nir_fadd(b, nir_fabs(b, src), two52), two52);
   b->exact = false;

   return nir_bcsel(b, nir_flt(b, nir_fabs(b, src), two52),
                    nir_pack_64_2x32_split(b, nir_unpack_64_2x32_split_x(b, res),
                                           nir_ior(b, nir_unpack_64_2x32_split_y(b, res), sign)),
                    src);
}

static nir_def *
lower_mod(nir_builder *b, nir_def *src0, nir_def *src1)
{
   /* mod(x,y) = x - y * floor(x/y)
    *
    * If the division is lowered, it could add some rounding errors that make
    * floor() to return the quotient minus one when x = N * y. If this is the
    * case, we should return zero because mod(x, y) output value is [0, y).
    * But fortunately Vulkan spec allows this kind of errors; from Vulkan
    * spec, appendix A (Precision and Operation of SPIR-V instructions:
    *
    *   "The OpFRem and OpFMod instructions use cheap approximations of
    *   remainder, and the error can be large due to the discontinuity in
    *   trunc() and floor(). This can produce mathematically unexpected
    *   results in some cases, such as FMod(x,x) computing x rather than 0,
    *   and can also cause the result to have a different sign than the
    *   infinitely precise result."
    *
    * In practice this means the output value is actually in the interval
    * [0, y].
    *
    * While Vulkan states this behaviour explicitly, OpenGL does not, and thus
    * we need to assume that value should be in range [0, y); but on the other
    * hand, mod(a,b) is defined as "a - b * floor(a/b)" and OpenGL allows for
    * some error in division, so a/a could actually end up being 1.0 - 1ULP;
    * so in this case floor(a/a) would end up as 0, and hence mod(a,a) == a.
    *
    * In summary, in the practice mod(a,a) can be "a" both for OpenGL and
    * Vulkan.
    */
   nir_def *floor = nir_ffloor(b, nir_fdiv(b, src0, src1));

   return nir_fsub(b, src0, nir_fmul(b, src1, floor));
}

static nir_def *
lower_minmax(nir_builder *b, nir_op cmp, nir_def *src0, nir_def *src1)
{
   b->exact = true;
   nir_def *src1_is_nan = nir_fneu(b, src1, src1);
   nir_def *cmp_res = nir_build_alu2(b, cmp, src0, src1);
   b->exact = false;
   nir_def *take_src0 = nir_ior(b, src1_is_nan, cmp_res);
   return nir_bcsel(b, take_src0, src0, src1);
}

static nir_def *
lower_sat(nir_builder *b, nir_def *src)
{
   b->exact = true;
   /* This will get lowered again if nir_lower_dminmax is set */
   nir_def *sat = nir_fclamp(b, src, nir_imm_double(b, 0),
                             nir_imm_double(b, 1));
   b->exact = false;
   return sat;
}

static nir_def *
lower_doubles_instr_to_soft(nir_builder *b, nir_alu_instr *instr,
                            const nir_shader *softfp64,
                            nir_lower_doubles_options options)
{
   if (!(options & nir_lower_fp64_full_software))
      return NULL;

   const char *name;
   const char *mangled_name;
   const struct glsl_type *return_type = glsl_uint64_t_type();

   switch (instr->op) {
   case nir_op_f2i64:
      if (instr->src[0].src.ssa->bit_size != 64)
         return false;
      name = "__fp64_to_int64";
      mangled_name = "__fp64_to_int64(u641;";
      return_type = glsl_int64_t_type();
      break;
   case nir_op_f2u64:
      if (instr->src[0].src.ssa->bit_size != 64)
         return false;
      name = "__fp64_to_uint64";
      mangled_name = "__fp64_to_uint64(u641;";
      break;
   case nir_op_f2f64:
      name = "__fp32_to_fp64";
      mangled_name = "__fp32_to_fp64(f1;";
      break;
   case nir_op_f2f32:
      name = "__fp64_to_fp32";
      mangled_name = "__fp64_to_fp32(u641;";
      return_type = glsl_float_type();
      break;
   case nir_op_f2i32:
      name = "__fp64_to_int";
      mangled_name = "__fp64_to_int(u641;";
      return_type = glsl_int_type();
      break;
   case nir_op_f2u32:
      name = "__fp64_to_uint";
      mangled_name = "__fp64_to_uint(u641;";
      return_type = glsl_uint_type();
      break;
   case nir_op_b2f64:
      name = "__bool_to_fp64";
      mangled_name = "__bool_to_fp64(b1;";
      break;
   case nir_op_i2f64:
      if (instr->src[0].src.ssa->bit_size == 64) {
         name = "__int64_to_fp64";
         mangled_name = "__int64_to_fp64(i641;";
      } else {
         name = "__int_to_fp64";
         mangled_name = "__int_to_fp64(i1;";
      }
      break;
   case nir_op_u2f64:
      if (instr->src[0].src.ssa->bit_size == 64) {
         name = "__uint64_to_fp64";
         mangled_name = "__uint64_to_fp64(u641;";
      } else {
         name = "__uint_to_fp64";
         mangled_name = "__uint_to_fp64(u1;";
      }
      break;
   case nir_op_fabs:
      name = "__fabs64";
      mangled_name = "__fabs64(u641;";
      break;
   case nir_op_fneg:
      name = "__fneg64";
      mangled_name = "__fneg64(u641;";
      break;
   case nir_op_fround_even:
      name = "__fround64";
      mangled_name = "__fround64(u641;";
      break;
   case nir_op_ftrunc:
      name = "__ftrunc64";
      mangled_name = "__ftrunc64(u641;";
      break;
   case nir_op_ffloor:
      name = "__ffloor64";
      mangled_name = "__ffloor64(u641;";
      break;
   case nir_op_ffract:
      name = "__ffract64";
      mangled_name = "__ffract64(u641;";
      break;
   case nir_op_fsign:
      name = "__fsign64";
      mangled_name = "__fsign64(u641;";
      break;
   case nir_op_feq:
      name = "__feq64";
      mangled_name = "__feq64(u641;u641;";
      return_type = glsl_bool_type();
      break;
   case nir_op_fneu:
      name = "__fneu64";
      mangled_name = "__fneu64(u641;u641;";
      return_type = glsl_bool_type();
      break;
   case nir_op_flt:
      name = "__flt64";
      mangled_name = "__flt64(u641;u641;";
      return_type = glsl_bool_type();
      break;
   case nir_op_fge:
      name = "__fge64";
      mangled_name = "__fge64(u641;u641;";
      return_type = glsl_bool_type();
      break;
   case nir_op_fmin:
      name = "__fmin64";
      mangled_name = "__fmin64(u641;u641;";
      break;
   case nir_op_fmax:
      name = "__fmax64";
      mangled_name = "__fmax64(u641;u641;";
      break;
   case nir_op_fadd:
      name = "__fadd64";
      mangled_name = "__fadd64(u641;u641;";
      break;
   case nir_op_fmul:
      name = "__fmul64";
      mangled_name = "__fmul64(u641;u641;";
      break;
   case nir_op_ffma:
      name = "__ffma64";
      mangled_name = "__ffma64(u641;u641;u641;";
      break;
   case nir_op_fsat:
      name = "__fsat64";
      mangled_name = "__fsat64(u641;";
      break;
   case nir_op_fisfinite:
      name = "__fisfinite64";
      mangled_name = "__fisfinite64(u641;";
      return_type = glsl_bool_type();
      break;
   default:
      return false;
   }

   assert(softfp64 != NULL);
   nir_function *func = nir_shader_get_function_for_name(softfp64, name);

   /* Another attempt, but this time with mangled names if softfp64
    * shader is taken from SPIR-V.
    */
   if (!func)
      func = nir_shader_get_function_for_name(softfp64, mangled_name);

   if (!func || !func->impl) {
      fprintf(stderr, "Cannot find function \"%s\"\n", name);
      assert(func);
   }

   nir_def *params[4] = {
      NULL,
   };

   nir_variable *ret_tmp =
      nir_local_variable_create(b->impl, return_type, "return_tmp");
   nir_deref_instr *ret_deref = nir_build_deref_var(b, ret_tmp);
   params[0] = &ret_deref->def;

   assert(nir_op_infos[instr->op].num_inputs + 1 == func->num_params);
   for (unsigned i = 0; i < nir_op_infos[instr->op].num_inputs; i++) {
      assert(i + 1 < ARRAY_SIZE(params));
      params[i + 1] = nir_mov_alu(b, instr->src[i], 1);
   }

   nir_inline_function_impl(b, func->impl, params, NULL);

   return nir_load_deref(b, ret_deref);
}

nir_lower_doubles_options
nir_lower_doubles_op_to_options_mask(nir_op opcode)
{
   switch (opcode) {
   case nir_op_frcp:
      return nir_lower_drcp;
   case nir_op_fsqrt:
      return nir_lower_dsqrt;
   case nir_op_frsq:
      return nir_lower_drsq;
   case nir_op_ftrunc:
      return nir_lower_dtrunc;
   case nir_op_ffloor:
      return nir_lower_dfloor;
   case nir_op_fceil:
      return nir_lower_dceil;
   case nir_op_ffract:
      return nir_lower_dfract;
   case nir_op_fround_even:
      return nir_lower_dround_even;
   case nir_op_fmod:
      return nir_lower_dmod;
   case nir_op_fsub:
      return nir_lower_dsub;
   case nir_op_fdiv:
      return nir_lower_ddiv;
   case nir_op_fmin:
   case nir_op_fmax:
      return nir_lower_dminmax;
   case nir_op_fsat:
      return nir_lower_dsat;
   default:
      return 0;
   }
}

struct lower_doubles_data {
   const nir_shader *softfp64;
   nir_lower_doubles_options options;
};

static bool
should_lower_double_instr(const nir_instr *instr, const void *_data)
{
   const struct lower_doubles_data *data = _data;
   const nir_lower_doubles_options options = data->options;

   if (instr->type != nir_instr_type_alu)
      return false;

   const nir_alu_instr *alu = nir_instr_as_alu(instr);

   bool is_64 = alu->def.bit_size == 64;

   unsigned num_srcs = nir_op_infos[alu->op].num_inputs;
   for (unsigned i = 0; i < num_srcs; i++) {
      is_64 |= (nir_src_bit_size(alu->src[i].src) == 64);
   }

   if (!is_64)
      return false;

   if (options & nir_lower_fp64_full_software)
      return true;

   return options & nir_lower_doubles_op_to_options_mask(alu->op);
}

static nir_def *
lower_doubles_instr(nir_builder *b, nir_instr *instr, void *_data)
{
   const struct lower_doubles_data *data = _data;
   const nir_lower_doubles_options options = data->options;
   nir_alu_instr *alu = nir_instr_as_alu(instr);

   nir_def *soft_def =
      lower_doubles_instr_to_soft(b, alu, data->softfp64, options);
   if (soft_def)
      return soft_def;

   if (!(options & nir_lower_doubles_op_to_options_mask(alu->op)))
      return NULL;

   nir_def *src = nir_mov_alu(b, alu->src[0],
                              alu->def.num_components);

   switch (alu->op) {
   case nir_op_frcp:
      return lower_rcp(b, src);
   case nir_op_fsqrt:
      return lower_sqrt_rsq(b, src, true);
   case nir_op_frsq:
      return lower_sqrt_rsq(b, src, false);
   case nir_op_ftrunc:
      return lower_trunc(b, src);
   case nir_op_ffloor:
      return lower_floor(b, src);
   case nir_op_fceil:
      return lower_ceil(b, src);
   case nir_op_ffract:
      return lower_fract(b, src);
   case nir_op_fround_even:
      return lower_round_even(b, src);
   case nir_op_fsat:
      return lower_sat(b, src);

   case nir_op_fdiv:
   case nir_op_fsub:
   case nir_op_fmod:
   case nir_op_fmin:
   case nir_op_fmax: {
      nir_def *src1 = nir_mov_alu(b, alu->src[1],
                                  alu->def.num_components);
      switch (alu->op) {
      case nir_op_fdiv:
         return nir_fmul(b, src, nir_frcp(b, src1));
      case nir_op_fsub:
         return nir_fadd(b, src, nir_fneg(b, src1));
      case nir_op_fmod:
         return lower_mod(b, src, src1);
      case nir_op_fmin:
         return lower_minmax(b, nir_op_flt, src, src1);
      case nir_op_fmax:
         return lower_minmax(b, nir_op_fge, src, src1);
      default:
         unreachable("unhandled opcode");
      }
   }
   default:
      unreachable("unhandled opcode");
   }
}

static bool
nir_lower_doubles_impl(nir_function_impl *impl,
                       const nir_shader *softfp64,
                       nir_lower_doubles_options options)
{
   struct lower_doubles_data data = {
      .softfp64 = softfp64,
      .options = options,
   };

   bool progress =
      nir_function_impl_lower_instructions(impl,
                                           should_lower_double_instr,
                                           lower_doubles_instr,
                                           &data);

   if (progress && (options & nir_lower_fp64_full_software)) {
      /* Indices are completely messed up now */
      nir_index_ssa_defs(impl);

      nir_metadata_preserve(impl, nir_metadata_none);

      /* And we have deref casts we need to clean up thanks to function
       * inlining.
       */
      nir_opt_deref_impl(impl);
   } else if (progress) {
      nir_metadata_preserve(impl, nir_metadata_block_index |
                                     nir_metadata_dominance);
   } else {
      nir_metadata_preserve(impl, nir_metadata_all);
   }

   return progress;
}

bool
nir_lower_doubles(nir_shader *shader,
                  const nir_shader *softfp64,
                  nir_lower_doubles_options options)
{
   bool progress = false;

   nir_foreach_function_impl(impl, shader) {
      progress |= nir_lower_doubles_impl(impl, softfp64, options);
   }

   return progress;
}