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Eigen  3.4.0
 
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ZVector/Complex.h
1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2010 Gael Guennebaud <gael.guennebaud@inria.fr>
5// Copyright (C) 2016 Konstantinos Margaritis <markos@freevec.org>
6//
7// This Source Code Form is subject to the terms of the Mozilla
8// Public License v. 2.0. If a copy of the MPL was not distributed
9// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
10
11#ifndef EIGEN_COMPLEX32_ALTIVEC_H
12#define EIGEN_COMPLEX32_ALTIVEC_H
13
14namespace Eigen {
15
16namespace internal {
17
18#if !defined(__ARCH__) || (defined(__ARCH__) && __ARCH__ >= 12)
19static Packet4ui p4ui_CONJ_XOR = { 0x00000000, 0x80000000, 0x00000000, 0x80000000 }; //vec_mergeh((Packet4ui)p4i_ZERO, (Packet4ui)p4f_MZERO);
20#endif
21
22static Packet2ul p2ul_CONJ_XOR1 = (Packet2ul) vec_sld((Packet4ui) p2d_ZERO_, (Packet4ui) p2l_ZERO, 8);//{ 0x8000000000000000, 0x0000000000000000 };
23static Packet2ul p2ul_CONJ_XOR2 = (Packet2ul) vec_sld((Packet4ui) p2l_ZERO, (Packet4ui) p2d_ZERO_, 8);//{ 0x8000000000000000, 0x0000000000000000 };
24
25struct Packet1cd
26{
27 EIGEN_STRONG_INLINE Packet1cd() {}
28 EIGEN_STRONG_INLINE explicit Packet1cd(const Packet2d& a) : v(a) {}
29 Packet2d v;
30};
31
32struct Packet2cf
33{
34 EIGEN_STRONG_INLINE Packet2cf() {}
35 EIGEN_STRONG_INLINE explicit Packet2cf(const Packet4f& a) : v(a) {}
36#if !defined(__ARCH__) || (defined(__ARCH__) && __ARCH__ < 12)
37 union {
38 Packet4f v;
39 Packet1cd cd[2];
40 };
41#else
42 Packet4f v;
43#endif
44};
45
46template<> struct packet_traits<std::complex<float> > : default_packet_traits
47{
48 typedef Packet2cf type;
49 typedef Packet2cf half;
50 enum {
51 Vectorizable = 1,
52 AlignedOnScalar = 1,
53 size = 2,
54 HasHalfPacket = 0,
55
56 HasAdd = 1,
57 HasSub = 1,
58 HasMul = 1,
59 HasDiv = 1,
60 HasNegate = 1,
61 HasAbs = 0,
62 HasAbs2 = 0,
63 HasMin = 0,
64 HasMax = 0,
65 HasBlend = 1,
66 HasSetLinear = 0
67 };
68};
69
70
71template<> struct packet_traits<std::complex<double> > : default_packet_traits
72{
73 typedef Packet1cd type;
74 typedef Packet1cd half;
75 enum {
76 Vectorizable = 1,
77 AlignedOnScalar = 1,
78 size = 1,
79 HasHalfPacket = 0,
80
81 HasAdd = 1,
82 HasSub = 1,
83 HasMul = 1,
84 HasDiv = 1,
85 HasNegate = 1,
86 HasAbs = 0,
87 HasAbs2 = 0,
88 HasMin = 0,
89 HasMax = 0,
90 HasSetLinear = 0
91 };
92};
93
94template<> struct unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; typedef Packet2cf half; };
95template<> struct unpacket_traits<Packet1cd> { typedef std::complex<double> type; enum {size=1, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; typedef Packet1cd half; };
96
97/* Forward declaration */
98EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet2cf,2>& kernel);
99
100/* complex<double> first */
101template<> EIGEN_STRONG_INLINE Packet1cd pload <Packet1cd>(const std::complex<double>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet1cd(pload<Packet2d>((const double*)from)); }
102template<> EIGEN_STRONG_INLINE Packet1cd ploadu<Packet1cd>(const std::complex<double>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cd(ploadu<Packet2d>((const double*)from)); }
103template<> EIGEN_STRONG_INLINE void pstore <std::complex<double> >(std::complex<double> * to, const Packet1cd& from) { EIGEN_DEBUG_ALIGNED_STORE pstore((double*)to, from.v); }
104template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<double> >(std::complex<double> * to, const Packet1cd& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((double*)to, from.v); }
105
106template<> EIGEN_STRONG_INLINE Packet1cd pset1<Packet1cd>(const std::complex<double>& from)
107{ /* here we really have to use unaligned loads :( */ return ploadu<Packet1cd>(&from); }
108
109template<> EIGEN_DEVICE_FUNC inline Packet1cd pgather<std::complex<double>, Packet1cd>(const std::complex<double>* from, Index stride EIGEN_UNUSED)
110{
111 return pload<Packet1cd>(from);
112}
113template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<double>, Packet1cd>(std::complex<double>* to, const Packet1cd& from, Index stride EIGEN_UNUSED)
114{
115 pstore<std::complex<double> >(to, from);
116}
117template<> EIGEN_STRONG_INLINE Packet1cd padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(a.v + b.v); }
118template<> EIGEN_STRONG_INLINE Packet1cd psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(a.v - b.v); }
119template<> EIGEN_STRONG_INLINE Packet1cd pnegate(const Packet1cd& a) { return Packet1cd(pnegate(Packet2d(a.v))); }
120template<> EIGEN_STRONG_INLINE Packet1cd pconj(const Packet1cd& a) { return Packet1cd((Packet2d)vec_xor((Packet2d)a.v, (Packet2d)p2ul_CONJ_XOR2)); }
121template<> EIGEN_STRONG_INLINE Packet1cd pmul<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
122{
123 Packet2d a_re, a_im, v1, v2;
124
125 // Permute and multiply the real parts of a and b
126 a_re = vec_perm(a.v, a.v, p16uc_PSET64_HI);
127 // Get the imaginary parts of a
128 a_im = vec_perm(a.v, a.v, p16uc_PSET64_LO);
129 // multiply a_re * b
130 v1 = vec_madd(a_re, b.v, p2d_ZERO);
131 // multiply a_im * b and get the conjugate result
132 v2 = vec_madd(a_im, b.v, p2d_ZERO);
133 v2 = (Packet2d) vec_sld((Packet4ui)v2, (Packet4ui)v2, 8);
134 v2 = (Packet2d) vec_xor((Packet2d)v2, (Packet2d) p2ul_CONJ_XOR1);
135
136 return Packet1cd(v1 + v2);
137}
138template<> EIGEN_STRONG_INLINE Packet1cd pand <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(vec_and(a.v,b.v)); }
139template<> EIGEN_STRONG_INLINE Packet1cd por <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(vec_or(a.v,b.v)); }
140template<> EIGEN_STRONG_INLINE Packet1cd pxor <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(vec_xor(a.v,b.v)); }
141template<> EIGEN_STRONG_INLINE Packet1cd pandnot <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(vec_and(a.v, vec_nor(b.v,b.v))); }
142template<> EIGEN_STRONG_INLINE Packet1cd ploaddup<Packet1cd>(const std::complex<double>* from) { return pset1<Packet1cd>(*from); }
143template<> EIGEN_STRONG_INLINE Packet1cd pcmp_eq(const Packet1cd& a, const Packet1cd& b) {
144 Packet2d eq = vec_cmpeq (a.v, b.v);
145 Packet2d tmp = { eq[1], eq[0] };
146 return (Packet1cd)pand<Packet2d>(eq, tmp);
147}
148
149template<> EIGEN_STRONG_INLINE void prefetch<std::complex<double> >(const std::complex<double> * addr) { EIGEN_ZVECTOR_PREFETCH(addr); }
150
151template<> EIGEN_STRONG_INLINE std::complex<double> pfirst<Packet1cd>(const Packet1cd& a)
152{
153 std::complex<double> EIGEN_ALIGN16 res;
154 pstore<std::complex<double> >(&res, a);
155
156 return res;
157}
158
159template<> EIGEN_STRONG_INLINE Packet1cd preverse(const Packet1cd& a) { return a; }
160template<> EIGEN_STRONG_INLINE std::complex<double> predux<Packet1cd>(const Packet1cd& a)
161{
162 return pfirst(a);
163}
164template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const Packet1cd& a)
165{
166 return pfirst(a);
167}
168EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet1cd,Packet2d)
169
170template<> EIGEN_STRONG_INLINE Packet1cd pdiv<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
171{
172 // TODO optimize it for AltiVec
173 Packet1cd res = pmul(a,pconj(b));
174 Packet2d s = vec_madd(b.v, b.v, p2d_ZERO_);
175 return Packet1cd(pdiv(res.v, s + vec_perm(s, s, p16uc_REVERSE64)));
176}
177
178EIGEN_STRONG_INLINE Packet1cd pcplxflip/*<Packet1cd>*/(const Packet1cd& x)
179{
180 return Packet1cd(preverse(Packet2d(x.v)));
181}
182
183EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet1cd,2>& kernel)
184{
185 Packet2d tmp = vec_perm(kernel.packet[0].v, kernel.packet[1].v, p16uc_TRANSPOSE64_HI);
186 kernel.packet[1].v = vec_perm(kernel.packet[0].v, kernel.packet[1].v, p16uc_TRANSPOSE64_LO);
187 kernel.packet[0].v = tmp;
188}
189
190/* complex<float> follows */
191template<> EIGEN_STRONG_INLINE Packet2cf pload <Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>((const float*)from)); }
192template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>((const float*)from)); }
193template<> EIGEN_STRONG_INLINE void pstore <std::complex<float> >(std::complex<float> * to, const Packet2cf& from) { EIGEN_DEBUG_ALIGNED_STORE pstore((float*)to, from.v); }
194template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<float> >(std::complex<float> * to, const Packet2cf& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((float*)to, from.v); }
195
196template<> EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet2cf>(const Packet2cf& a)
197{
198 std::complex<float> EIGEN_ALIGN16 res[2];
199 pstore<std::complex<float> >(res, a);
200
201 return res[0];
202}
203
204
205#if !defined(__ARCH__) || (defined(__ARCH__) && __ARCH__ < 12)
206template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>& from)
207{
208 Packet2cf res;
209 res.cd[0] = Packet1cd(vec_ld2f((const float *)&from));
210 res.cd[1] = res.cd[0];
211 return res;
212}
213#else
214template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>& from)
215{
216 Packet2cf res;
217 if((std::ptrdiff_t(&from) % 16) == 0)
218 res.v = pload<Packet4f>((const float *)&from);
219 else
220 res.v = ploadu<Packet4f>((const float *)&from);
221 res.v = vec_perm(res.v, res.v, p16uc_PSET64_HI);
222 return res;
223}
224#endif
225
226template<> EIGEN_DEVICE_FUNC inline Packet2cf pgather<std::complex<float>, Packet2cf>(const std::complex<float>* from, Index stride)
227{
228 std::complex<float> EIGEN_ALIGN16 af[2];
229 af[0] = from[0*stride];
230 af[1] = from[1*stride];
231 return pload<Packet2cf>(af);
232}
233template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<float>, Packet2cf>(std::complex<float>* to, const Packet2cf& from, Index stride)
234{
235 std::complex<float> EIGEN_ALIGN16 af[2];
236 pstore<std::complex<float> >((std::complex<float> *) af, from);
237 to[0*stride] = af[0];
238 to[1*stride] = af[1];
239}
240
241template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(padd<Packet4f>(a.v, b.v)); }
242template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(psub<Packet4f>(a.v, b.v)); }
243template<> EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf& a) { return Packet2cf(pnegate(Packet4f(a.v))); }
244
245template<> EIGEN_STRONG_INLINE Packet2cf pand <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(pand<Packet4f>(a.v,b.v)); }
246template<> EIGEN_STRONG_INLINE Packet2cf por <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(por<Packet4f>(a.v,b.v)); }
247template<> EIGEN_STRONG_INLINE Packet2cf pxor <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(pxor<Packet4f>(a.v,b.v)); }
248template<> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(pandnot<Packet4f>(a.v,b.v)); }
249
250template<> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from) { return pset1<Packet2cf>(*from); }
251
252template<> EIGEN_STRONG_INLINE void prefetch<std::complex<float> >(const std::complex<float> * addr) { EIGEN_ZVECTOR_PREFETCH(addr); }
253
254
255#if !defined(__ARCH__) || (defined(__ARCH__) && __ARCH__ < 12)
256
257template<> EIGEN_STRONG_INLINE Packet2cf pcmp_eq(const Packet2cf& a, const Packet2cf& b) {
258 Packet4f eq = pcmp_eq<Packet4f> (a.v, b.v);
259 Packet2cf res;
260 Packet2d tmp1 = { eq.v4f[0][1], eq.v4f[0][0] };
261 Packet2d tmp2 = { eq.v4f[1][1], eq.v4f[1][0] };
262 res.v.v4f[0] = pand<Packet2d>(eq.v4f[0], tmp1);
263 res.v.v4f[1] = pand<Packet2d>(eq.v4f[1], tmp2);
264 return res;
265}
266
267template<> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a)
268{
269 Packet2cf res;
270 res.v.v4f[0] = pconj(Packet1cd(reinterpret_cast<Packet2d>(a.v.v4f[0]))).v;
271 res.v.v4f[1] = pconj(Packet1cd(reinterpret_cast<Packet2d>(a.v.v4f[1]))).v;
272 return res;
273}
274
275template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
276{
277 Packet2cf res;
278 res.v.v4f[0] = pmul(Packet1cd(reinterpret_cast<Packet2d>(a.v.v4f[0])), Packet1cd(reinterpret_cast<Packet2d>(b.v.v4f[0]))).v;
279 res.v.v4f[1] = pmul(Packet1cd(reinterpret_cast<Packet2d>(a.v.v4f[1])), Packet1cd(reinterpret_cast<Packet2d>(b.v.v4f[1]))).v;
280 return res;
281}
282
283template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a)
284{
285 Packet2cf res;
286 res.cd[0] = a.cd[1];
287 res.cd[1] = a.cd[0];
288 return res;
289}
290
291template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a)
292{
293 std::complex<float> res;
294 Packet1cd b = padd<Packet1cd>(a.cd[0], a.cd[1]);
295 vec_st2f(b.v, (float*)&res);
296 return res;
297}
298
299template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a)
300{
301 std::complex<float> res;
302 Packet1cd b = pmul<Packet1cd>(a.cd[0], a.cd[1]);
303 vec_st2f(b.v, (float*)&res);
304 return res;
305}
306
307EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet2cf,Packet4f)
308
309template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
310{
311 // TODO optimize it for AltiVec
312 Packet2cf res;
313 res.cd[0] = pdiv<Packet1cd>(a.cd[0], b.cd[0]);
314 res.cd[1] = pdiv<Packet1cd>(a.cd[1], b.cd[1]);
315 return res;
316}
317
318EIGEN_STRONG_INLINE Packet2cf pcplxflip/*<Packet2cf>*/(const Packet2cf& x)
319{
320 Packet2cf res;
321 res.cd[0] = pcplxflip(x.cd[0]);
322 res.cd[1] = pcplxflip(x.cd[1]);
323 return res;
324}
325
326EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet2cf,2>& kernel)
327{
328 Packet1cd tmp = kernel.packet[0].cd[1];
329 kernel.packet[0].cd[1] = kernel.packet[1].cd[0];
330 kernel.packet[1].cd[0] = tmp;
331}
332
333template<> EIGEN_STRONG_INLINE Packet2cf pblend(const Selector<2>& ifPacket, const Packet2cf& thenPacket, const Packet2cf& elsePacket) {
334 Packet2cf result;
335 const Selector<4> ifPacket4 = { ifPacket.select[0], ifPacket.select[0], ifPacket.select[1], ifPacket.select[1] };
336 result.v = pblend<Packet4f>(ifPacket4, thenPacket.v, elsePacket.v);
337 return result;
338}
339#else
340template<> EIGEN_STRONG_INLINE Packet2cf pcmp_eq(const Packet2cf& a, const Packet2cf& b) {
341 Packet4f eq = vec_cmpeq (a.v, b.v);
342 Packet4f tmp = { eq[1], eq[0], eq[3], eq[2] };
343 return (Packet2cf)pand<Packet4f>(eq, tmp);
344}
345template<> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a) { return Packet2cf(pxor<Packet4f>(a.v, reinterpret_cast<Packet4f>(p4ui_CONJ_XOR))); }
346template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
347{
348 Packet4f a_re, a_im, prod, prod_im;
349
350 // Permute and multiply the real parts of a and b
351 a_re = vec_perm(a.v, a.v, p16uc_PSET32_WODD);
352
353 // Get the imaginary parts of a
354 a_im = vec_perm(a.v, a.v, p16uc_PSET32_WEVEN);
355
356 // multiply a_im * b and get the conjugate result
357 prod_im = a_im * b.v;
358 prod_im = pxor<Packet4f>(prod_im, reinterpret_cast<Packet4f>(p4ui_CONJ_XOR));
359 // permute back to a proper order
360 prod_im = vec_perm(prod_im, prod_im, p16uc_COMPLEX32_REV);
361
362 // multiply a_re * b, add prod_im
363 prod = pmadd<Packet4f>(a_re, b.v, prod_im);
364
365 return Packet2cf(prod);
366}
367
368template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a)
369{
370 Packet4f rev_a;
371 rev_a = vec_perm(a.v, a.v, p16uc_COMPLEX32_REV2);
372 return Packet2cf(rev_a);
373}
374
375template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a)
376{
377 Packet4f b;
378 b = vec_sld(a.v, a.v, 8);
379 b = padd<Packet4f>(a.v, b);
380 return pfirst<Packet2cf>(Packet2cf(b));
381}
382
383template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a)
384{
385 Packet4f b;
386 Packet2cf prod;
387 b = vec_sld(a.v, a.v, 8);
388 prod = pmul<Packet2cf>(a, Packet2cf(b));
389
390 return pfirst<Packet2cf>(prod);
391}
392
393EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet2cf,Packet4f)
394
395template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
396{
397 // TODO optimize it for AltiVec
398 Packet2cf res = pmul(a, pconj(b));
399 Packet4f s = pmul<Packet4f>(b.v, b.v);
400 return Packet2cf(pdiv(res.v, padd<Packet4f>(s, vec_perm(s, s, p16uc_COMPLEX32_REV))));
401}
402
403template<> EIGEN_STRONG_INLINE Packet2cf pcplxflip<Packet2cf>(const Packet2cf& x)
404{
405 return Packet2cf(vec_perm(x.v, x.v, p16uc_COMPLEX32_REV));
406}
407
408EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet2cf,2>& kernel)
409{
410 Packet4f tmp = vec_perm(kernel.packet[0].v, kernel.packet[1].v, p16uc_TRANSPOSE64_HI);
411 kernel.packet[1].v = vec_perm(kernel.packet[0].v, kernel.packet[1].v, p16uc_TRANSPOSE64_LO);
412 kernel.packet[0].v = tmp;
413}
414
415template<> EIGEN_STRONG_INLINE Packet2cf pblend(const Selector<2>& ifPacket, const Packet2cf& thenPacket, const Packet2cf& elsePacket) {
416 Packet2cf result;
417 result.v = reinterpret_cast<Packet4f>(pblend<Packet2d>(ifPacket, reinterpret_cast<Packet2d>(thenPacket.v), reinterpret_cast<Packet2d>(elsePacket.v)));
418 return result;
419}
420#endif
421
422} // end namespace internal
423
424} // end namespace Eigen
425
426#endif // EIGEN_COMPLEX32_ALTIVEC_H
@ Aligned16
Definition: Constants.h:235
Namespace containing all symbols from the Eigen library.
Definition: Core:141
EIGEN_DEFAULT_DENSE_INDEX_TYPE Index
The Index type as used for the API.
Definition: Meta.h:74