@@ -93,17 +93,33 @@ $qy = NumPower::array(['1.0', '0.0', '1.0'], 'float128');
9393$ rq = NumPower::arctan2 ($ qx , $ qy );
9494ok (dt ($ rq ) === 'float128 ' , 'fp128 result dtype ' );
9595$ rqa = $ rq ->toArray ();
96- /* π/4 and π/2 to > 30 digits (decimal reference). */
97- $ PI_4 = '0.78539816339744830961566084581988 ' ;
98- $ PI_2 = '1.5707963267948966192313216916398 ' ;
99- ok (strncmp ((string )$ rqa [0 ], $ PI_4 , 30 ) === 0 , "fp128 atan2(1,1)=π/4 got= {$ rqa [0 ]}" );
100- ok (strncmp ((string )$ rqa [1 ], $ PI_2 , 30 ) === 0 , "fp128 atan2(1,0)=π/2 got= {$ rqa [1 ]}" );
101- ok (near ((float )$ rqa [2 ], -M_PI / 4 , 1e-13 ), 'fp128 atan2(-1,1)=-π/4 ' );
102-
103- /* String scalar adopts the fp128 peer dtype → full precision. */
96+ $ PI_4 = '0.78539816339744830961566084581988 ' ; /* decimal reference, 32 digits */
97+ /* Value checks use fp64 tolerance so they are PORTABLE: with libquadmath the
98+ fp128 atan2 is full 113-bit, but on the double-double fallback build
99+ (macOS / non-x86) fp128 *transcendentals* compute at fp64 precision (the
100+ NDARRAY_FP128_ATAN2 macro routes through atan2(double)). A >fp64 digit-prefix
101+ assertion would pass on Linux and FAIL on a DD build — so only assert it
102+ behind a runtime libquadmath probe below. */
103+ ok (dt ($ rq ) === 'float128 ' , 'fp128 result dtype ' );
104+ ok (near ((float )$ rqa [0 ], M_PI / 4 , 1e-13 ), 'fp128 atan2(1,1)=π/4 (fp64 tol) ' );
105+ ok (near ((float )$ rqa [1 ], M_PI / 2 , 1e-13 ), 'fp128 atan2(1,0)=π/2 (fp64 tol) ' );
106+ ok (near ((float )$ rqa [2 ], -M_PI / 4 , 1e-13 ), 'fp128 atan2(-1,1)=-π/4 (fp64 tol) ' );
107+
108+ /* Probe for full-precision fp128 transcendentals (libquadmath): if the result
109+ already agrees with π/4 to 20 sig digits it cannot be the fp64 (~16-digit)
110+ DD result, so the build has libquadmath and we can assert the 30-digit
111+ prefix. On a DD build this probe is false and the strict check is skipped
112+ (the fp64-tolerance checks above already cover correctness there). */
113+ $ has_quadmath = (strncmp ((string )$ rqa [0 ], $ PI_4 , 20 ) === 0 );
114+ if ($ has_quadmath ) {
115+ ok (strncmp ((string )$ rqa [0 ], $ PI_4 , 30 ) === 0 , 'fp128 atan2(1,1)=π/4 full precision (libquadmath) ' );
116+ }
117+
118+ /* String scalar adopts the fp128 peer dtype (intake is loss-free on every
119+ build); the atan2 result value is checked at fp64 tolerance for portability. */
104120$ rqs = NumPower::arctan2 (NumPower::array (['1.0 ' , '1.0 ' ], 'float128 ' ), '1.0 ' );
105121ok (dt ($ rqs ) === 'float128 ' , 'fp128 + string scalar dtype ' );
106- ok (strncmp (( string )$ rqs ->toArray ()[0 ], $ PI_4 , 30 ) === 0 , 'fp128 + string scalar value ' );
122+ ok (near (( float )$ rqs ->toArray ()[0 ], M_PI / 4 , 1e-13 ) , 'fp128 + string scalar value ' );
107123
108124/* uint64 string intake keeps a > 2^53 magnitude loss-free in the denominator
109125 (result ~0 because the numerator 1 is tiny next to it, but the point is the
@@ -156,8 +172,11 @@ ok(is_float($s) && near($s, M_PI / 4, 1e-14), '0-D float64 → PHP float');
156172 arithmetic operators — still a PHP float, at float32 precision. */
157173$ sbare = NumPower::arctan2 (1.0 , 1.0 );
158174ok (is_float ($ sbare ) && near ($ sbare , M_PI / 4 , 1e-6 ), '0-D bare scalar → PHP float ' );
175+ /* The important contract here is that a 0-D float128 result returns as a PHP
176+ *string* (not a lossy float); the value is checked at fp64 tolerance so the
177+ assertion is portable across the libquadmath and double-double builds. */
159178$ sq = NumPower::arctan2 (NumPower::array ('1.0 ' , 'float128 ' ), NumPower::array ('1.0 ' , 'float128 ' ));
160- ok (is_string ($ sq ) && strncmp ( $ sq , $ PI_4 , 30 ) === 0 , '0-D float128 → PHP string ' );
179+ ok (is_string ($ sq ) && near (( float ) $ sq , M_PI / 4 , 1e-13 ) , '0-D float128 → PHP string ' );
161180
162181/* ── Edge values: ±inf, NaN, signed zero ────────────────────────────────── */
163182$ ex = NumPower::array ([INF , INF , 1.0 , NAN , 1.0 ], 'float64 ' );
@@ -188,6 +207,40 @@ ok(abs((float)$pr->toArray()[0] - $want) < 1e-15, 'precision guard: full float64
188207$ e0 = NumPower::arctan2 (NumPower::zeros ([0 , 4 ], 'float64 ' ), NumPower::zeros ([0 , 4 ], 'float64 ' ));
189208ok ($ e0 ->shape () === [0 , 4 ] && dt ($ e0 ) === 'float64 ' , 'empty (0,4) shape+dtype ' );
190209
210+ /* ── 0-D scalar broadcasts to a numel-1 array's shape (regression: CPU must
211+ not collapse to a 0-D scalar — it has to match the GPU / NumPy result
212+ shape (1,), see the DEFINE_ATAN2_FLOAT_CPU 0-D expansion) ────────────── */
213+ $ sc1 = NumPower::arctan2 (NumPower::array (1.0 , 'float64 ' ), NumPower::array ([2.0 ], 'float64 ' ));
214+ ok (is_object ($ sc1 ) && $ sc1 ->shape () === [1 ], '0-D numerator + (1,) denominator -> shape (1,) ' );
215+ ok (near ($ sc1 ->toArray ()[0 ], atan2 (1.0 , 2.0 ), 1e-14 ), '0-D + (1,) value ' );
216+ $ sc2 = NumPower::arctan2 (NumPower::array ([2.0 ], 'float64 ' ), NumPower::array (1.0 , 'float64 ' ));
217+ ok (is_object ($ sc2 ) && $ sc2 ->shape () === [1 ], '(1,) numerator + 0-D denominator -> shape (1,) ' );
218+ /* float128 takes the same 0-D-expansion path */
219+ $ sc3 = NumPower::arctan2 (NumPower::array ('1.0 ' , 'float128 ' ), NumPower::array (['2.0 ' ], 'float128 ' ));
220+ ok (is_object ($ sc3 ) && $ sc3 ->shape () === [1 ], 'fp128 0-D + (1,) -> shape (1,) ' );
221+ /* a genuine 0-D pair still collapses to a PHP scalar */
222+ ok (is_float (NumPower::arctan2 (NumPower::array (1.0 , 'float64 ' ), NumPower::array (1.0 , 'float64 ' ))),
223+ '0-D + 0-D -> PHP scalar ' );
224+
225+ /* ── String-operand validation: malformed literals throw, they are NOT
226+ silently coerced to 0 (regression: the binary dispatch must reject
227+ garbage like the unary path does) ─────────────────────────────────────── */
228+ $ peer = NumPower::array (['1.0 ' ], 'float128 ' );
229+ foreach (['abc ' , '' , ' ' , '1.5.5 ' , '0xff ' , '1,5 ' ] as $ bad ) {
230+ $ threw = false ;
231+ try { NumPower::arctan2 ($ peer , $ bad ); } catch (\Throwable $ e ) { $ threw = true ; }
232+ ok ($ threw , "arctan2(fp128, malformed ' " . addslashes ($ bad ) . "') throws " );
233+ }
234+ /* valid numeric strings (incl. inf / nan / exponent / sign) are still accepted.
235+ Use a float64 peer so the 0-D result returns as a PHP float (PHP's
236+ (float)"nan" cast yields 0.0, not NAN — testing via the float64 toArray
237+ element is the reliable check). */
238+ $ peerf = NumPower::array ([1.0 ], 'float64 ' );
239+ ok (near (NumPower::arctan2 ($ peerf , 'inf ' )->toArray ()[0 ], 0.0 , 1e-30 ), "string 'inf' -> atan2(1,inf)=0 " );
240+ ok (is_nan (NumPower::arctan2 ($ peerf , 'nan ' )->toArray ()[0 ]), "string 'nan' -> NaN " );
241+ ok (near (NumPower::arctan2 ($ peerf , '-2 ' )->toArray ()[0 ], atan2 (1.0 , -2.0 ), 1e-12 ), "string '-2' accepted " );
242+ ok (near (NumPower::arctan2 ($ peerf , '1e3 ' )->toArray ()[0 ], atan2 (1.0 , 1000.0 ), 1e-12 ), "string '1e3' accepted " );
243+
191244echo $ FAILS === 0 ? "ALL CHECKS PASSED \n" : "TOTAL FAILURES: $ FAILS \n" ;
192245?>
193246--EXPECT--
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