[Libclc-dev] [PATCH 4/4] rootn: Port from amd_builtins
Jan Vesely via Libclc-dev
libclc-dev at lists.llvm.org
Mon Jan 15 16:47:11 PST 2018
Passes piglit on turks and carrizo
fp64 passes ctx on carrizo
Signed-off-by: Jan Vesely <jan.vesely at rutgers.edu>
---
fp32 cts failure on carrizo is denormal related
generic/include/clc/clc.h | 1 +
generic/include/clc/math/rootn.h | 3 +
generic/include/clc/math/rootn.inc | 1 +
generic/include/math/clc_rootn.h | 3 +
generic/include/math/clc_rootn.inc | 1 +
generic/lib/SOURCES | 2 +
generic/lib/math/clc_rootn.cl | 377 +++++++++++++++++++++++++++++++++++++
generic/lib/math/rootn.cl | 6 +
generic/lib/math/rootn.inc | 3 +
9 files changed, 397 insertions(+)
create mode 100644 generic/include/clc/math/rootn.h
create mode 100644 generic/include/clc/math/rootn.inc
create mode 100644 generic/include/math/clc_rootn.h
create mode 100644 generic/include/math/clc_rootn.inc
create mode 100644 generic/lib/math/clc_rootn.cl
create mode 100644 generic/lib/math/rootn.cl
create mode 100644 generic/lib/math/rootn.inc
diff --git a/generic/include/clc/clc.h b/generic/include/clc/clc.h
index bc5c6f8..fa48639 100644
--- a/generic/include/clc/clc.h
+++ b/generic/include/clc/clc.h
@@ -103,6 +103,7 @@
#include <clc/math/pown.h>
#include <clc/math/powr.h>
#include <clc/math/rint.h>
+#include <clc/math/rootn.h>
#include <clc/math/round.h>
#include <clc/math/sin.h>
#include <clc/math/sincos.h>
diff --git a/generic/include/clc/math/rootn.h b/generic/include/clc/math/rootn.h
new file mode 100644
index 0000000..544302c
--- /dev/null
+++ b/generic/include/clc/math/rootn.h
@@ -0,0 +1,3 @@
+#define __CLC_BODY <clc/math/rootn.inc>
+#include <clc/math/gentype.inc>
+#undef __CLC_BODY
diff --git a/generic/include/clc/math/rootn.inc b/generic/include/clc/math/rootn.inc
new file mode 100644
index 0000000..0a4cc6d
--- /dev/null
+++ b/generic/include/clc/math/rootn.inc
@@ -0,0 +1 @@
+_CLC_OVERLOAD _CLC_DECL __CLC_GENTYPE rootn(__CLC_GENTYPE a, __CLC_INTN b);
diff --git a/generic/include/math/clc_rootn.h b/generic/include/math/clc_rootn.h
new file mode 100644
index 0000000..4ea2096
--- /dev/null
+++ b/generic/include/math/clc_rootn.h
@@ -0,0 +1,3 @@
+#define __CLC_BODY <math/clc_rootn.inc>
+#include <clc/math/gentype.inc>
+#undef __CLC_BODY
diff --git a/generic/include/math/clc_rootn.inc b/generic/include/math/clc_rootn.inc
new file mode 100644
index 0000000..adca078
--- /dev/null
+++ b/generic/include/math/clc_rootn.inc
@@ -0,0 +1 @@
+_CLC_OVERLOAD _CLC_DECL __CLC_GENTYPE __clc_rootn(__CLC_GENTYPE a, __CLC_INTN b);
diff --git a/generic/lib/SOURCES b/generic/lib/SOURCES
index 5fae26a..4c319a5 100644
--- a/generic/lib/SOURCES
+++ b/generic/lib/SOURCES
@@ -157,6 +157,8 @@ math/clc_pown.cl
math/pown.cl
math/clc_powr.cl
math/powr.cl
+math/clc_rootn.cl
+math/rootn.cl
math/sin.cl
math/sincos.cl
math/sincos_helpers.cl
diff --git a/generic/lib/math/clc_rootn.cl b/generic/lib/math/clc_rootn.cl
new file mode 100644
index 0000000..f4b0651
--- /dev/null
+++ b/generic/lib/math/clc_rootn.cl
@@ -0,0 +1,377 @@
+/*
+ * Copyright (c) 2014 Advanced Micro Devices, Inc.
+ *
+ * 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 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 <clc/clc.h>
+
+#include "math.h"
+#include "tables.h"
+#include "../clcmacro.h"
+
+// compute pow using log and exp
+// x^y = exp(y * log(x))
+//
+// we take care not to lose precision in the intermediate steps
+//
+// When computing log, calculate it in splits,
+//
+// r = f * (p_invead + p_inv_tail)
+// r = rh + rt
+//
+// calculate log polynomial using r, in end addition, do
+// poly = poly + ((rh-r) + rt)
+//
+// lth = -r
+// ltt = ((xexp * log2_t) - poly) + logT
+// lt = lth + ltt
+//
+// lh = (xexp * log2_h) + logH
+// l = lh + lt
+//
+// Calculate final log answer as gh and gt,
+// gh = l & higher-half bits
+// gt = (((ltt - (lt - lth)) + ((lh - l) + lt)) + (l - gh))
+//
+// yh = y & higher-half bits
+// yt = y - yh
+//
+// Before entering computation of exp,
+// vs = ((yt*gt + yt*gh) + yh*gt)
+// v = vs + yh*gh
+// vt = ((yh*gh - v) + vs)
+//
+// In calculation of exp, add vt to r that is used for poly
+// At the end of exp, do
+// ((((expT * poly) + expT) + expH*poly) + expH)
+
+_CLC_DEF _CLC_OVERLOAD float __clc_rootn(float x, int ny)
+{
+ float y = MATH_RECIP((float)ny);
+
+ int ix = as_int(x);
+ int ax = ix & EXSIGNBIT_SP32;
+ int xpos = ix == ax;
+
+ int iy = as_int(y);
+ int ay = iy & EXSIGNBIT_SP32;
+ int ypos = iy == ay;
+
+ // Extra precise log calculation
+ // First handle case that x is close to 1
+ float r = 1.0f - as_float(ax);
+ int near1 = fabs(r) < 0x1.0p-4f;
+ float r2 = r*r;
+
+ // Coefficients are just 1/3, 1/4, 1/5 and 1/6
+ float poly = mad(r,
+ mad(r,
+ mad(r,
+ mad(r, 0x1.24924ap-3f, 0x1.555556p-3f),
+ 0x1.99999ap-3f),
+ 0x1.000000p-2f),
+ 0x1.555556p-2f);
+
+ poly *= r2*r;
+
+ float lth_near1 = -r2 * 0.5f;
+ float ltt_near1 = -poly;
+ float lt_near1 = lth_near1 + ltt_near1;
+ float lh_near1 = -r;
+ float l_near1 = lh_near1 + lt_near1;
+
+ // Computations for x not near 1
+ int m = (int)(ax >> EXPSHIFTBITS_SP32) - EXPBIAS_SP32;
+ float mf = (float)m;
+ int ixs = as_int(as_float(ax | 0x3f800000) - 1.0f);
+ float mfs = (float)((ixs >> EXPSHIFTBITS_SP32) - 253);
+ int c = m == -127;
+ int ixn = c ? ixs : ax;
+ float mfn = c ? mfs : mf;
+
+ int indx = (ixn & 0x007f0000) + ((ixn & 0x00008000) << 1);
+
+ // F - Y
+ float f = as_float(0x3f000000 | indx) - as_float(0x3f000000 | (ixn & MANTBITS_SP32));
+
+ indx = indx >> 16;
+ float2 tv = USE_TABLE(log_inv_tbl_ep, indx);
+ float rh = f * tv.s0;
+ float rt = f * tv.s1;
+ r = rh + rt;
+
+ poly = mad(r, mad(r, 0x1.0p-2f, 0x1.555556p-2f), 0x1.0p-1f) * (r*r);
+ poly += (rh - r) + rt;
+
+ const float LOG2_HEAD = 0x1.62e000p-1f; // 0.693115234
+ const float LOG2_TAIL = 0x1.0bfbe8p-15f; // 0.0000319461833
+ tv = USE_TABLE(loge_tbl, indx);
+ float lth = -r;
+ float ltt = mad(mfn, LOG2_TAIL, -poly) + tv.s1;
+ float lt = lth + ltt;
+ float lh = mad(mfn, LOG2_HEAD, tv.s0);
+ float l = lh + lt;
+
+ // Select near 1 or not
+ lth = near1 ? lth_near1 : lth;
+ ltt = near1 ? ltt_near1 : ltt;
+ lt = near1 ? lt_near1 : lt;
+ lh = near1 ? lh_near1 : lh;
+ l = near1 ? l_near1 : l;
+
+ float gh = as_float(as_int(l) & 0xfffff000);
+ float gt = ((ltt - (lt - lth)) + ((lh - l) + lt)) + (l - gh);
+
+ float yh = as_float(iy & 0xfffff000);
+
+ float fny = (float)ny;
+ float fnyh = as_float(as_int(fny) & 0xfffff000);
+ float fnyt = (float)(ny - (int)fnyh);
+ float yt = MATH_DIVIDE(mad(-fnyt, yh, mad(-fnyh, yh, 1.0f)), fny);
+
+ float ylogx_s = mad(gt, yh, mad(gh, yt, yt*gt));
+ float ylogx = mad(yh, gh, ylogx_s);
+ float ylogx_t = mad(yh, gh, -ylogx) + ylogx_s;
+
+ // Extra precise exp of ylogx
+ const float R_64_BY_LOG2 = 0x1.715476p+6f; // 64/log2 : 92.332482616893657
+ int n = convert_int(ylogx * R_64_BY_LOG2);
+ float nf = (float) n;
+
+ int j = n & 0x3f;
+ m = n >> 6;
+ int m2 = m << EXPSHIFTBITS_SP32;
+
+ const float R_LOG2_BY_64_LD = 0x1.620000p-7f; // log2/64 lead: 0.0108032227
+ const float R_LOG2_BY_64_TL = 0x1.c85fdep-16f; // log2/64 tail: 0.0000272020388
+ r = mad(nf, -R_LOG2_BY_64_TL, mad(nf, -R_LOG2_BY_64_LD, ylogx)) + ylogx_t;
+
+ // Truncated Taylor series for e^r
+ poly = mad(mad(mad(r, 0x1.555556p-5f, 0x1.555556p-3f), r, 0x1.000000p-1f), r*r, r);
+
+ tv = USE_TABLE(exp_tbl_ep, j);
+
+ float expylogx = mad(tv.s0, poly, mad(tv.s1, poly, tv.s1)) + tv.s0;
+ #if !defined(SUBNORMALS_SUPPORTED)
+ int explg = ((as_uint(expylogx) & EXPBITS_SP32 >> 23) - 127);
+ m = (23-(m + 149)) == 0 ? 1: m;
+ uint mantissa = ((as_uint(expylogx) & MANTBITS_SP32)|IMPBIT_SP32) >> (23-(m + 149));
+ float sexpylogx = as_float(mantissa);
+ #else
+ float sexpylogx = expylogx * as_float(0x1 << (m + 149));
+ #endif
+
+
+ float texpylogx = as_float(as_int(expylogx) + m2);
+ expylogx = m < -125 ? sexpylogx : texpylogx;
+
+ // Result is +-Inf if (ylogx + ylogx_t) > 128*log2
+ expylogx = ((ylogx > 0x1.62e430p+6f) | (ylogx == 0x1.62e430p+6f & ylogx_t > -0x1.05c610p-22f)) ? as_float(PINFBITPATT_SP32) : expylogx;
+
+ // Result is 0 if ylogx < -149*log2
+ expylogx = ylogx < -0x1.9d1da0p+6f ? 0.0f : expylogx;
+
+ // Classify y:
+ // inty = 0 means not an integer.
+ // inty = 1 means odd integer.
+ // inty = 2 means even integer.
+
+ int inty = 2 - (ny & 1);
+
+ float signval = as_float((as_uint(expylogx) ^ SIGNBIT_SP32));
+ expylogx = ((inty == 1) & !xpos) ? signval : expylogx;
+ int ret = as_int(expylogx);
+
+ // Corner case handling
+ ret = (!xpos & (inty == 2)) ? QNANBITPATT_SP32 : ret;
+ int xinf = xpos ? PINFBITPATT_SP32 : NINFBITPATT_SP32;
+ ret = ((ax == 0) & !ypos & (inty == 1)) ? xinf : ret;
+ ret = ((ax == 0) & !ypos & (inty == 2)) ? PINFBITPATT_SP32 : ret;
+ ret = ((ax == 0) & ypos & (inty == 2)) ? 0 : ret;
+ int xzero = xpos ? 0 : 0x80000000;
+ ret = ((ax == 0) & ypos & (inty == 1)) ? xzero : ret;
+ ret = ((ix == NINFBITPATT_SP32) & ypos & (inty == 1)) ? NINFBITPATT_SP32 : ret;
+ ret = ((ix == NINFBITPATT_SP32) & !ypos & (inty == 1)) ? 0x80000000 : ret;
+ ret = ((ix == PINFBITPATT_SP32) & !ypos) ? 0 : ret;
+ ret = ((ix == PINFBITPATT_SP32) & ypos) ? PINFBITPATT_SP32 : ret;
+ ret = ax > PINFBITPATT_SP32 ? ix : ret;
+ ret = ny == 0 ? QNANBITPATT_SP32 : ret;
+
+ return as_float(ret);
+}
+_CLC_BINARY_VECTORIZE(_CLC_DEF _CLC_OVERLOAD, float, __clc_rootn, float, int)
+
+#ifdef cl_khr_fp64
+_CLC_DEF _CLC_OVERLOAD double __clc_rootn(double x, int ny)
+{
+ const double real_log2_tail = 5.76999904754328540596e-08;
+ const double real_log2_lead = 6.93147122859954833984e-01;
+
+ double dny = (double)ny;
+ double y = 1.0 / dny;
+
+ long ux = as_long(x);
+ long ax = ux & (~SIGNBIT_DP64);
+ int xpos = ax == ux;
+
+ long uy = as_long(y);
+ long ay = uy & (~SIGNBIT_DP64);
+ int ypos = ay == uy;
+
+ // Extended precision log
+ double v, vt;
+ {
+ int exp = (int)(ax >> 52) - 1023;
+ int mask_exp_1023 = exp == -1023;
+ double xexp = (double) exp;
+ long mantissa = ax & 0x000FFFFFFFFFFFFFL;
+
+ long temp_ux = as_long(as_double(0x3ff0000000000000L | mantissa) - 1.0);
+ exp = ((temp_ux & 0x7FF0000000000000L) >> 52) - 2045;
+ double xexp1 = (double) exp;
+ long mantissa1 = temp_ux & 0x000FFFFFFFFFFFFFL;
+
+ xexp = mask_exp_1023 ? xexp1 : xexp;
+ mantissa = mask_exp_1023 ? mantissa1 : mantissa;
+
+ long rax = (mantissa & 0x000ff00000000000) + ((mantissa & 0x0000080000000000) << 1);
+ int index = rax >> 44;
+
+ double F = as_double(rax | 0x3FE0000000000000L);
+ double Y = as_double(mantissa | 0x3FE0000000000000L);
+ double f = F - Y;
+ double2 tv = USE_TABLE(log_f_inv_tbl, index);
+ double log_h = tv.s0;
+ double log_t = tv.s1;
+ double f_inv = (log_h + log_t) * f;
+ double r1 = as_double(as_long(f_inv) & 0xfffffffff8000000L);
+ double r2 = fma(-F, r1, f) * (log_h + log_t);
+ double r = r1 + r2;
+
+ double poly = fma(r,
+ fma(r,
+ fma(r,
+ fma(r, 1.0/7.0, 1.0/6.0),
+ 1.0/5.0),
+ 1.0/4.0),
+ 1.0/3.0);
+ poly = poly * r * r * r;
+
+ double hr1r1 = 0.5*r1*r1;
+ double poly0h = r1 + hr1r1;
+ double poly0t = r1 - poly0h + hr1r1;
+ poly = fma(r1, r2, fma(0.5*r2, r2, poly)) + r2 + poly0t;
+
+ tv = USE_TABLE(powlog_tbl, index);
+ log_h = tv.s0;
+ log_t = tv.s1;
+
+ double resT_t = fma(xexp, real_log2_tail, + log_t) - poly;
+ double resT = resT_t - poly0h;
+ double resH = fma(xexp, real_log2_lead, log_h);
+ double resT_h = poly0h;
+
+ double H = resT + resH;
+ double H_h = as_double(as_long(H) & 0xfffffffff8000000L);
+ double T = (resH - H + resT) + (resT_t - (resT + resT_h)) + (H - H_h);
+ H = H_h;
+
+ double y_head = as_double(uy & 0xfffffffff8000000L);
+ double y_tail = y - y_head;
+
+ double fnyh = as_double(as_long(dny) & 0xfffffffffff00000);
+ double fnyt = (double)(ny - (int)fnyh);
+ y_tail = fma(-fnyt, y_head, fma(-fnyh, y_head, 1.0))/ dny;
+
+ double temp = fma(y_tail, H, fma(y_head, T, y_tail*T));
+ v = fma(y_head, H, temp);
+ vt = fma(y_head, H, -v) + temp;
+ }
+
+ // Now calculate exp of (v,vt)
+
+ double expv;
+ {
+ const double max_exp_arg = 709.782712893384;
+ const double min_exp_arg = -745.1332191019411;
+ const double sixtyfour_by_lnof2 = 92.33248261689366;
+ const double lnof2_by_64_head = 0.010830424260348081;
+ const double lnof2_by_64_tail = -4.359010638708991e-10;
+
+ double temp = v * sixtyfour_by_lnof2;
+ int n = (int)temp;
+ double dn = (double)n;
+ int j = n & 0x0000003f;
+ int m = n >> 6;
+
+ double2 tv = USE_TABLE(two_to_jby64_ep_tbl, j);
+ double f1 = tv.s0;
+ double f2 = tv.s1;
+ double f = f1 + f2;
+
+ double r1 = fma(dn, -lnof2_by_64_head, v);
+ double r2 = dn * lnof2_by_64_tail;
+ double r = (r1 + r2) + vt;
+
+ double q = fma(r,
+ fma(r,
+ fma(r,
+ fma(r, 1.38889490863777199667e-03, 8.33336798434219616221e-03),
+ 4.16666666662260795726e-02),
+ 1.66666666665260878863e-01),
+ 5.00000000000000008883e-01);
+ q = fma(r*r, q, r);
+
+ expv = fma(f, q, f2) + f1;
+ expv = ldexp(expv, m);
+
+ expv = v > max_exp_arg ? as_double(0x7FF0000000000000L) : expv;
+ expv = v < min_exp_arg ? 0.0 : expv;
+ }
+
+ // See whether y is an integer.
+ // inty = 0 means not an integer.
+ // inty = 1 means odd integer.
+ // inty = 2 means even integer.
+
+ int inty = 2 - (ny & 1);
+
+ expv *= ((inty == 1) & !xpos) ? -1.0 : 1.0;
+
+ long ret = as_long(expv);
+
+ // Now all the edge cases
+ ret = (!xpos & (inty == 2)) ? QNANBITPATT_DP64 : ret;
+ long xinf = xpos ? PINFBITPATT_DP64 : NINFBITPATT_DP64;
+ ret = ((ax == 0L) & !ypos & (inty == 1)) ? xinf : ret;
+ ret = ((ax == 0L) & !ypos & (inty == 2)) ? PINFBITPATT_DP64 : ret;
+ ret = ((ax == 0L) & ypos & (inty == 2)) ? 0L : ret;
+ long xzero = xpos ? 0L : 0x8000000000000000L;
+ ret = ((ax == 0L) & ypos & (inty == 1)) ? xzero : ret;
+ ret = ((ux == NINFBITPATT_DP64) & ypos & (inty == 1)) ? NINFBITPATT_DP64 : ret;
+ ret = ((ux == NINFBITPATT_DP64) & !ypos & (inty == 1)) ? 0x8000000000000000L : ret;
+ ret = ((ux == PINFBITPATT_DP64) & !ypos) ? 0L : ret;
+ ret = ((ux == PINFBITPATT_DP64) & ypos) ? PINFBITPATT_DP64 : ret;
+ ret = ax > PINFBITPATT_DP64 ? ux : ret;
+ ret = ny == 0 ? QNANBITPATT_DP64 : ret;
+ return as_double(ret);
+}
+_CLC_BINARY_VECTORIZE(_CLC_DEF _CLC_OVERLOAD, double, __clc_rootn, double, int)
+#endif
diff --git a/generic/lib/math/rootn.cl b/generic/lib/math/rootn.cl
new file mode 100644
index 0000000..b149a95
--- /dev/null
+++ b/generic/lib/math/rootn.cl
@@ -0,0 +1,6 @@
+#include <clc/clc.h>
+
+#include <math/clc_rootn.h>
+
+#define __CLC_BODY <rootn.inc>
+#include <clc/math/gentype.inc>
diff --git a/generic/lib/math/rootn.inc b/generic/lib/math/rootn.inc
new file mode 100644
index 0000000..3f5b00c
--- /dev/null
+++ b/generic/lib/math/rootn.inc
@@ -0,0 +1,3 @@
+_CLC_OVERLOAD _CLC_DEF __CLC_GENTYPE rootn(__CLC_GENTYPE x, __CLC_INTN y) {
+ return __clc_rootn(x, y);
+}
--
2.14.3
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