Bug Summary

File:src/lib/libm/src/e_j1.c
Warning:line 373, column 6
Array access (from variable 'p') results in an undefined pointer dereference

Annotated Source Code

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clang -cc1 -cc1 -triple amd64-unknown-openbsd7.0 -analyze -disable-free -disable-llvm-verifier -discard-value-names -main-file-name e_j1.c -analyzer-store=region -analyzer-opt-analyze-nested-blocks -analyzer-checker=core -analyzer-checker=apiModeling -analyzer-checker=unix -analyzer-checker=deadcode -analyzer-checker=security.insecureAPI.UncheckedReturn -analyzer-checker=security.insecureAPI.getpw -analyzer-checker=security.insecureAPI.gets -analyzer-checker=security.insecureAPI.mktemp -analyzer-checker=security.insecureAPI.mkstemp -analyzer-checker=security.insecureAPI.vfork -analyzer-checker=nullability.NullPassedToNonnull -analyzer-checker=nullability.NullReturnedFromNonnull -analyzer-output plist -w -setup-static-analyzer -mrelocation-model pic -pic-level 1 -fhalf-no-semantic-interposition -mframe-pointer=all -relaxed-aliasing -fno-rounding-math -mconstructor-aliases -munwind-tables -target-cpu x86-64 -target-feature +retpoline-indirect-calls -target-feature +retpoline-indirect-branches -tune-cpu generic -debugger-tuning=gdb -fcoverage-compilation-dir=/usr/src/lib/libm/obj -resource-dir /usr/local/lib/clang/13.0.0 -include namespace.h -I /usr/src/lib/libm/arch/amd64 -I /usr/src/lib/libm/src -I /usr/src/lib/libm/src/ld80 -I /usr/src/lib/libm/hidden -D PIC -internal-isystem /usr/local/lib/clang/13.0.0/include -internal-externc-isystem /usr/include -O2 -fdebug-compilation-dir=/usr/src/lib/libm/obj -ferror-limit 19 -fwrapv -D_RET_PROTECTOR -ret-protector -fgnuc-version=4.2.1 -vectorize-loops -vectorize-slp -fno-builtin-malloc -fno-builtin-calloc -fno-builtin-realloc -fno-builtin-valloc -fno-builtin-free -fno-builtin-strdup -fno-builtin-strndup -analyzer-output=html -faddrsig -D__GCC_HAVE_DWARF2_CFI_ASM=1 -o /home/ben/Projects/vmm/scan-build/2022-01-12-194120-40624-1 -x c /usr/src/lib/libm/src/e_j1.c
1/* @(#)e_j1.c 5.1 93/09/24 */
2/*
3 * ====================================================
4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
5 *
6 * Developed at SunPro, a Sun Microsystems, Inc. business.
7 * Permission to use, copy, modify, and distribute this
8 * software is freely granted, provided that this notice
9 * is preserved.
10 * ====================================================
11 */
12
13/* j1(x), y1(x)
14 * Bessel function of the first and second kinds of order zero.
15 * Method -- j1(x):
16 * 1. For tiny x, we use j1(x) = x/2 - x^3/16 + x^5/384 - ...
17 * 2. Reduce x to |x| since j1(x)=-j1(-x), and
18 * for x in (0,2)
19 * j1(x) = x/2 + x*z*R0/S0, where z = x*x;
20 * (precision: |j1/x - 1/2 - R0/S0 |<2**-61.51 )
21 * for x in (2,inf)
22 * j1(x) = sqrt(2/(pi*x))*(p1(x)*cos(x1)-q1(x)*sin(x1))
23 * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1))
24 * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1)
25 * as follow:
26 * cos(x1) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
27 * = 1/sqrt(2) * (sin(x) - cos(x))
28 * sin(x1) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
29 * = -1/sqrt(2) * (sin(x) + cos(x))
30 * (To avoid cancellation, use
31 * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
32 * to compute the worse one.)
33 *
34 * 3 Special cases
35 * j1(nan)= nan
36 * j1(0) = 0
37 * j1(inf) = 0
38 *
39 * Method -- y1(x):
40 * 1. screen out x<=0 cases: y1(0)=-inf, y1(x<0)=NaN
41 * 2. For x<2.
42 * Since
43 * y1(x) = 2/pi*(j1(x)*(ln(x/2)+Euler)-1/x-x/2+5/64*x^3-...)
44 * therefore y1(x)-2/pi*j1(x)*ln(x)-1/x is an odd function.
45 * We use the following function to approximate y1,
46 * y1(x) = x*U(z)/V(z) + (2/pi)*(j1(x)*ln(x)-1/x), z= x^2
47 * where for x in [0,2] (abs err less than 2**-65.89)
48 * U(z) = U0[0] + U0[1]*z + ... + U0[4]*z^4
49 * V(z) = 1 + v0[0]*z + ... + v0[4]*z^5
50 * Note: For tiny x, 1/x dominate y1 and hence
51 * y1(tiny) = -2/pi/tiny, (choose tiny<2**-54)
52 * 3. For x>=2.
53 * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1))
54 * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1)
55 * by method mentioned above.
56 */
57
58#include "math.h"
59#include "math_private.h"
60
61static double pone(double), qone(double);
62
63static const double
64huge = 1e300,
65one = 1.0,
66invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
67tpi = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
68 /* R0/S0 on [0,2] */
69r00 = -6.25000000000000000000e-02, /* 0xBFB00000, 0x00000000 */
70r01 = 1.40705666955189706048e-03, /* 0x3F570D9F, 0x98472C61 */
71r02 = -1.59955631084035597520e-05, /* 0xBEF0C5C6, 0xBA169668 */
72r03 = 4.96727999609584448412e-08, /* 0x3E6AAAFA, 0x46CA0BD9 */
73s01 = 1.91537599538363460805e-02, /* 0x3F939D0B, 0x12637E53 */
74s02 = 1.85946785588630915560e-04, /* 0x3F285F56, 0xB9CDF664 */
75s03 = 1.17718464042623683263e-06, /* 0x3EB3BFF8, 0x333F8498 */
76s04 = 5.04636257076217042715e-09, /* 0x3E35AC88, 0xC97DFF2C */
77s05 = 1.23542274426137913908e-11; /* 0x3DAB2ACF, 0xCFB97ED8 */
78
79static const double zero = 0.0;
80
81double
82j1(double x)
83{
84 double z, s,c,ss,cc,r,u,v,y;
85 int32_t hx,ix;
86
87 GET_HIGH_WORD(hx,x)do { ieee_double_shape_type gh_u; gh_u.value = (x); (hx) = gh_u
.parts.msw; } while (0)
;
88 ix = hx&0x7fffffff;
89 if(ix>=0x7ff00000) return one/x;
90 y = fabs(x);
91 if(ix >= 0x40000000) { /* |x| >= 2.0 */
92 s = sin(y);
93 c = cos(y);
94 ss = -s-c;
95 cc = s-c;
96 if(ix<0x7fe00000) { /* make sure y+y not overflow */
97 z = cos(y+y);
98 if ((s*c)>zero) cc = z/ss;
99 else ss = z/cc;
100 }
101 /*
102 * j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x)
103 * y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
104 */
105 if(ix>0x48000000) z = (invsqrtpi*cc)/sqrt(y);
106 else {
107 u = pone(y); v = qone(y);
108 z = invsqrtpi*(u*cc-v*ss)/sqrt(y);
109 }
110 if(hx<0) return -z;
111 else return z;
112 }
113 if(ix<0x3e400000) { /* |x|<2**-27 */
114 if(huge+x>one) return 0.5*x;/* inexact if x!=0 necessary */
115 }
116 z = x*x;
117 r = z*(r00+z*(r01+z*(r02+z*r03)));
118 s = one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
119 r *= x;
120 return(x*0.5+r/s);
121}
122DEF_NONSTD(j1)__asm__(".global " "j1" " ; " "j1" " = " "_libm_j1");
123
124static const double U0[5] = {
125 -1.96057090646238940668e-01, /* 0xBFC91866, 0x143CBC8A */
126 5.04438716639811282616e-02, /* 0x3FA9D3C7, 0x76292CD1 */
127 -1.91256895875763547298e-03, /* 0xBF5F55E5, 0x4844F50F */
128 2.35252600561610495928e-05, /* 0x3EF8AB03, 0x8FA6B88E */
129 -9.19099158039878874504e-08, /* 0xBE78AC00, 0x569105B8 */
130};
131static const double V0[5] = {
132 1.99167318236649903973e-02, /* 0x3F94650D, 0x3F4DA9F0 */
133 2.02552581025135171496e-04, /* 0x3F2A8C89, 0x6C257764 */
134 1.35608801097516229404e-06, /* 0x3EB6C05A, 0x894E8CA6 */
135 6.22741452364621501295e-09, /* 0x3E3ABF1D, 0x5BA69A86 */
136 1.66559246207992079114e-11, /* 0x3DB25039, 0xDACA772A */
137};
138
139double
140y1(double x)
141{
142 double z, s,c,ss,cc,u,v;
143 int32_t hx,ix,lx;
144
145 EXTRACT_WORDS(hx,lx,x)do { ieee_double_shape_type ew_u; ew_u.value = (x); (hx) = ew_u
.parts.msw; (lx) = ew_u.parts.lsw; } while (0)
;
1
Loop condition is false. Exiting loop
146 ix = 0x7fffffff&hx;
147 /* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */
148 if(ix>=0x7ff00000) return one/(x+x*x);
2
Assuming 'ix' is < 2146435072
3
Taking false branch
149 if((ix|lx)==0) return -one/zero;
4
Assuming the condition is false
5
Taking false branch
150 if(hx<0) return zero/zero;
6
Assuming 'hx' is >= 0
7
Taking false branch
151 if(ix >= 0x40000000) { /* |x| >= 2.0 */
8
Assuming 'ix' is >= 1073741824
9
Taking true branch
152 s = sin(x);
153 c = cos(x);
154 ss = -s-c;
155 cc = s-c;
156 if(ix<0x7fe00000) { /* make sure x+x not overflow */
10
Assuming 'ix' is < 2145386496
11
Taking true branch
157 z = cos(x+x);
158 if ((s*c)>zero) cc = z/ss;
12
Assuming the condition is false
13
Taking false branch
159 else ss = z/cc;
160 }
161 /* y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x0)+q1(x)*cos(x0))
162 * where x0 = x-3pi/4
163 * Better formula:
164 * cos(x0) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
165 * = 1/sqrt(2) * (sin(x) - cos(x))
166 * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
167 * = -1/sqrt(2) * (cos(x) + sin(x))
168 * To avoid cancellation, use
169 * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
170 * to compute the worse one.
171 */
172 if(ix>0x48000000) z = (invsqrtpi*ss)/sqrt(x);
14
Assuming 'ix' is <= 1207959552
15
Taking false branch
173 else {
174 u = pone(x); v = qone(x);
16
Calling 'qone'
175 z = invsqrtpi*(u*ss+v*cc)/sqrt(x);
176 }
177 return z;
178 }
179 if(ix<=0x3c900000) { /* x < 2**-54 */
180 return(-tpi/x);
181 }
182 z = x*x;
183 u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
184 v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
185 return(x*(u/v) + tpi*(j1(x)*log(x)-one/x));
186}
187DEF_NONSTD(y1)__asm__(".global " "y1" " ; " "y1" " = " "_libm_y1");
188
189/* For x >= 8, the asymptotic expansions of pone is
190 * 1 + 15/128 s^2 - 4725/2^15 s^4 - ..., where s = 1/x.
191 * We approximate pone by
192 * pone(x) = 1 + (R/S)
193 * where R = pr0 + pr1*s^2 + pr2*s^4 + ... + pr5*s^10
194 * S = 1 + ps0*s^2 + ... + ps4*s^10
195 * and
196 * | pone(x)-1-R/S | <= 2 ** ( -60.06)
197 */
198
199static const double pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
200 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
201 1.17187499999988647970e-01, /* 0x3FBDFFFF, 0xFFFFFCCE */
202 1.32394806593073575129e+01, /* 0x402A7A9D, 0x357F7FCE */
203 4.12051854307378562225e+02, /* 0x4079C0D4, 0x652EA590 */
204 3.87474538913960532227e+03, /* 0x40AE457D, 0xA3A532CC */
205 7.91447954031891731574e+03, /* 0x40BEEA7A, 0xC32782DD */
206};
207static const double ps8[5] = {
208 1.14207370375678408436e+02, /* 0x405C8D45, 0x8E656CAC */
209 3.65093083420853463394e+03, /* 0x40AC85DC, 0x964D274F */
210 3.69562060269033463555e+04, /* 0x40E20B86, 0x97C5BB7F */
211 9.76027935934950801311e+04, /* 0x40F7D42C, 0xB28F17BB */
212 3.08042720627888811578e+04, /* 0x40DE1511, 0x697A0B2D */
213};
214
215static const double pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
216 1.31990519556243522749e-11, /* 0x3DAD0667, 0xDAE1CA7D */
217 1.17187493190614097638e-01, /* 0x3FBDFFFF, 0xE2C10043 */
218 6.80275127868432871736e+00, /* 0x401B3604, 0x6E6315E3 */
219 1.08308182990189109773e+02, /* 0x405B13B9, 0x452602ED */
220 5.17636139533199752805e+02, /* 0x40802D16, 0xD052D649 */
221 5.28715201363337541807e+02, /* 0x408085B8, 0xBB7E0CB7 */
222};
223static const double ps5[5] = {
224 5.92805987221131331921e+01, /* 0x404DA3EA, 0xA8AF633D */
225 9.91401418733614377743e+02, /* 0x408EFB36, 0x1B066701 */
226 5.35326695291487976647e+03, /* 0x40B4E944, 0x5706B6FB */
227 7.84469031749551231769e+03, /* 0x40BEA4B0, 0xB8A5BB15 */
228 1.50404688810361062679e+03, /* 0x40978030, 0x036F5E51 */
229};
230
231static const double pr3[6] = {
232 3.02503916137373618024e-09, /* 0x3E29FC21, 0xA7AD9EDD */
233 1.17186865567253592491e-01, /* 0x3FBDFFF5, 0x5B21D17B */
234 3.93297750033315640650e+00, /* 0x400F76BC, 0xE85EAD8A */
235 3.51194035591636932736e+01, /* 0x40418F48, 0x9DA6D129 */
236 9.10550110750781271918e+01, /* 0x4056C385, 0x4D2C1837 */
237 4.85590685197364919645e+01, /* 0x4048478F, 0x8EA83EE5 */
238};
239static const double ps3[5] = {
240 3.47913095001251519989e+01, /* 0x40416549, 0xA134069C */
241 3.36762458747825746741e+02, /* 0x40750C33, 0x07F1A75F */
242 1.04687139975775130551e+03, /* 0x40905B7C, 0x5037D523 */
243 8.90811346398256432622e+02, /* 0x408BD67D, 0xA32E31E9 */
244 1.03787932439639277504e+02, /* 0x4059F26D, 0x7C2EED53 */
245};
246
247static const double pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
248 1.07710830106873743082e-07, /* 0x3E7CE9D4, 0xF65544F4 */
249 1.17176219462683348094e-01, /* 0x3FBDFF42, 0xBE760D83 */
250 2.36851496667608785174e+00, /* 0x4002F2B7, 0xF98FAEC0 */
251 1.22426109148261232917e+01, /* 0x40287C37, 0x7F71A964 */
252 1.76939711271687727390e+01, /* 0x4031B1A8, 0x177F8EE2 */
253 5.07352312588818499250e+00, /* 0x40144B49, 0xA574C1FE */
254};
255static const double ps2[5] = {
256 2.14364859363821409488e+01, /* 0x40356FBD, 0x8AD5ECDC */
257 1.25290227168402751090e+02, /* 0x405F5293, 0x14F92CD5 */
258 2.32276469057162813669e+02, /* 0x406D08D8, 0xD5A2DBD9 */
259 1.17679373287147100768e+02, /* 0x405D6B7A, 0xDA1884A9 */
260 8.36463893371618283368e+00, /* 0x4020BAB1, 0xF44E5192 */
261};
262
263static double
264pone(double x)
265{
266 const double *p,*q;
267 double z,r,s;
268 int32_t ix;
269 GET_HIGH_WORD(ix,x)do { ieee_double_shape_type gh_u; gh_u.value = (x); (ix) = gh_u
.parts.msw; } while (0)
;
270 ix &= 0x7fffffff;
271 if(ix>=0x40200000) {p = pr8; q= ps8;}
272 else if(ix>=0x40122E8B){p = pr5; q= ps5;}
273 else if(ix>=0x4006DB6D){p = pr3; q= ps3;}
274 else if(ix>=0x40000000){p = pr2; q= ps2;}
275 z = one/(x*x);
276 r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
277 s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
278 return one+ r/s;
279}
280
281
282/* For x >= 8, the asymptotic expansions of qone is
283 * 3/8 s - 105/1024 s^3 - ..., where s = 1/x.
284 * We approximate pone by
285 * qone(x) = s*(0.375 + (R/S))
286 * where R = qr1*s^2 + qr2*s^4 + ... + qr5*s^10
287 * S = 1 + qs1*s^2 + ... + qs6*s^12
288 * and
289 * | qone(x)/s -0.375-R/S | <= 2 ** ( -61.13)
290 */
291
292static const double qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
293 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
294 -1.02539062499992714161e-01, /* 0xBFBA3FFF, 0xFFFFFDF3 */
295 -1.62717534544589987888e+01, /* 0xC0304591, 0xA26779F7 */
296 -7.59601722513950107896e+02, /* 0xC087BCD0, 0x53E4B576 */
297 -1.18498066702429587167e+04, /* 0xC0C724E7, 0x40F87415 */
298 -4.84385124285750353010e+04, /* 0xC0E7A6D0, 0x65D09C6A */
299};
300static const double qs8[6] = {
301 1.61395369700722909556e+02, /* 0x40642CA6, 0xDE5BCDE5 */
302 7.82538599923348465381e+03, /* 0x40BE9162, 0xD0D88419 */
303 1.33875336287249578163e+05, /* 0x4100579A, 0xB0B75E98 */
304 7.19657723683240939863e+05, /* 0x4125F653, 0x72869C19 */
305 6.66601232617776375264e+05, /* 0x412457D2, 0x7719AD5C */
306 -2.94490264303834643215e+05, /* 0xC111F969, 0x0EA5AA18 */
307};
308
309static const double qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
310 -2.08979931141764104297e-11, /* 0xBDB6FA43, 0x1AA1A098 */
311 -1.02539050241375426231e-01, /* 0xBFBA3FFF, 0xCB597FEF */
312 -8.05644828123936029840e+00, /* 0xC0201CE6, 0xCA03AD4B */
313 -1.83669607474888380239e+02, /* 0xC066F56D, 0x6CA7B9B0 */
314 -1.37319376065508163265e+03, /* 0xC09574C6, 0x6931734F */
315 -2.61244440453215656817e+03, /* 0xC0A468E3, 0x88FDA79D */
316};
317static const double qs5[6] = {
318 8.12765501384335777857e+01, /* 0x405451B2, 0xFF5A11B2 */
319 1.99179873460485964642e+03, /* 0x409F1F31, 0xE77BF839 */
320 1.74684851924908907677e+04, /* 0x40D10F1F, 0x0D64CE29 */
321 4.98514270910352279316e+04, /* 0x40E8576D, 0xAABAD197 */
322 2.79480751638918118260e+04, /* 0x40DB4B04, 0xCF7C364B */
323 -4.71918354795128470869e+03, /* 0xC0B26F2E, 0xFCFFA004 */
324};
325
326static const double qr3[6] = {
327 -5.07831226461766561369e-09, /* 0xBE35CFA9, 0xD38FC84F */
328 -1.02537829820837089745e-01, /* 0xBFBA3FEB, 0x51AEED54 */
329 -4.61011581139473403113e+00, /* 0xC01270C2, 0x3302D9FF */
330 -5.78472216562783643212e+01, /* 0xC04CEC71, 0xC25D16DA */
331 -2.28244540737631695038e+02, /* 0xC06C87D3, 0x4718D55F */
332 -2.19210128478909325622e+02, /* 0xC06B66B9, 0x5F5C1BF6 */
333};
334static const double qs3[6] = {
335 4.76651550323729509273e+01, /* 0x4047D523, 0xCCD367E4 */
336 6.73865112676699709482e+02, /* 0x40850EEB, 0xC031EE3E */
337 3.38015286679526343505e+03, /* 0x40AA684E, 0x448E7C9A */
338 5.54772909720722782367e+03, /* 0x40B5ABBA, 0xA61D54A6 */
339 1.90311919338810798763e+03, /* 0x409DBC7A, 0x0DD4DF4B */
340 -1.35201191444307340817e+02, /* 0xC060E670, 0x290A311F */
341};
342
343static const double qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
344 -1.78381727510958865572e-07, /* 0xBE87F126, 0x44C626D2 */
345 -1.02517042607985553460e-01, /* 0xBFBA3E8E, 0x9148B010 */
346 -2.75220568278187460720e+00, /* 0xC0060484, 0x69BB4EDA */
347 -1.96636162643703720221e+01, /* 0xC033A9E2, 0xC168907F */
348 -4.23253133372830490089e+01, /* 0xC04529A3, 0xDE104AAA */
349 -2.13719211703704061733e+01, /* 0xC0355F36, 0x39CF6E52 */
350};
351static const double qs2[6] = {
352 2.95333629060523854548e+01, /* 0x403D888A, 0x78AE64FF */
353 2.52981549982190529136e+02, /* 0x406F9F68, 0xDB821CBA */
354 7.57502834868645436472e+02, /* 0x4087AC05, 0xCE49A0F7 */
355 7.39393205320467245656e+02, /* 0x40871B25, 0x48D4C029 */
356 1.55949003336666123687e+02, /* 0x40637E5E, 0x3C3ED8D4 */
357 -4.95949898822628210127e+00, /* 0xC013D686, 0xE71BE86B */
358};
359
360static double
361qone(double x)
362{
363 const double *p,*q;
17
'p' declared without an initial value
364 double s,r,z;
365 int32_t ix;
366 GET_HIGH_WORD(ix,x)do { ieee_double_shape_type gh_u; gh_u.value = (x); (ix) = gh_u
.parts.msw; } while (0)
;
18
Loop condition is false. Exiting loop
367 ix &= 0x7fffffff;
368 if(ix>=0x40200000) {p = qr8; q= qs8;}
19
Assuming 'ix' is < 1075838976
20
Taking false branch
369 else if(ix>=0x40122E8B){p = qr5; q= qs5;}
21
Assuming 'ix' is < 1074933387
22
Taking false branch
370 else if(ix>=0x4006DB6D){p = qr3; q= qs3;}
23
Assuming 'ix' is < 1074191213
24
Taking false branch
371 else if(ix>=0x40000000){p = qr2; q= qs2;}
25
Assuming 'ix' is < 1073741824
26
Taking false branch
372 z = one/(x*x);
373 r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
27
Array access (from variable 'p') results in an undefined pointer dereference
374 s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
375 return (.375 + r/s)/x;
376}