// Copyright ©2015 The gonum Authors. All rights reserved. // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. package f32 import ( "math" "testing" ) var ( nan = float32(math.NaN()) inf = float32(math.Inf(1)) ) var tests = []struct { incX, incY, incDst uintptr ix, iy, idst uintptr a float32 dst, x, y []float32 ex []float32 }{ {incX: 2, incY: 2, incDst: 3, ix: 0, iy: 0, idst: 0, a: 3, dst: []float32{5}, x: []float32{2}, y: []float32{1}, ex: []float32{7}}, {incX: 2, incY: 2, incDst: 3, ix: 0, iy: 0, idst: 0, a: 5, dst: []float32{0, 0, 0}, x: []float32{0, 0, 0}, y: []float32{1, 1, 1}, ex: []float32{1, 1, 1}}, {incX: 2, incY: 2, incDst: 3, ix: 0, iy: 0, idst: 0, a: 5, dst: []float32{0, 0, 0}, x: []float32{0, 0}, y: []float32{1, 1, 1}, ex: []float32{1, 1}}, {incX: 2, incY: 2, incDst: 3, ix: 0, iy: 0, idst: 0, a: -1, dst: []float32{-1, -1, -1}, x: []float32{1, 1, 1}, y: []float32{1, 2, 1}, ex: []float32{0, 1, 0}}, {incX: 2, incY: 2, incDst: 3, ix: 0, iy: 0, idst: 0, a: -1, dst: []float32{1, 1, 1}, x: []float32{1, 2, 1}, y: []float32{-1, -2, -1}, ex: []float32{-2, -4, -2}}, {incX: 2, incY: 2, incDst: 3, ix: 0, iy: 0, idst: 0, a: 2.5, dst: []float32{1, 1, 1, 1, 1}, x: []float32{1, 2, 3, 2, 1}, y: []float32{0, 0, 0, 0, 0}, ex: []float32{2.5, 5, 7.5, 5, 2.5}}, {incX: 2, incY: 2, incDst: 3, ix: 0, iy: 0, idst: 0, // Run big test twice, once aligned once unaligned. a: 16.5, dst: make([]float32, 20), x: []float32{.5, .5, .5, .5, .5, .5, .5, .5, .5, .5, .5, .5, .5, .5, .5, .5, .5, .5, .5, .5}, y: []float32{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, ex: []float32{9.25, 10.25, 11.25, 12.25, 13.25, 14.25, 15.25, 16.25, 17.25, 18.25, 9.25, 10.25, 11.25, 12.25, 13.25, 14.25, 15.25, 16.25, 17.25, 18.25}}, {incX: 2, incY: 2, incDst: 3, ix: 0, iy: 0, idst: 0, a: 16.5, dst: make([]float32, 10), x: []float32{.5, .5, .5, .5, .5, .5, .5, .5, .5, .5}, y: []float32{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, ex: []float32{9.25, 10.25, 11.25, 12.25, 13.25, 14.25, 15.25, 16.25, 17.25, 18.25}}, } func guardVector(v []float32, g float32, g_ln int) (guarded []float32) { guarded = make([]float32, len(v)+g_ln*2) copy(guarded[g_ln:], v) for i := 0; i < g_ln; i++ { guarded[i] = g guarded[len(guarded)-1-i] = g } return guarded } func isValidGuard(v []float32, g float32, g_ln int) bool { for i := 0; i < g_ln; i++ { if v[i] != g || v[len(v)-1-i] != g { return false } } return true } func same(x, y float32) bool { a, b := float64(x), float64(y) return a == b || (math.IsNaN(a) && math.IsNaN(b)) } func TestAxpyUnitary(t *testing.T) { var x_gd, y_gd float32 = 1, 1 for j, v := range tests { xg_ln, yg_ln := 4+j%2, 4+j%3 v.x, v.y = guardVector(v.x, x_gd, xg_ln), guardVector(v.y, y_gd, yg_ln) x, y := v.x[xg_ln:len(v.x)-xg_ln], v.y[yg_ln:len(v.y)-yg_ln] AxpyUnitary(v.a, x, y) for i := range v.ex { if !same(y[i], v.ex[i]) { t.Errorf("Test %d Unexpected result at %d Got: %v Expected: %v", j, i, y[i], v.ex[i]) } } if !isValidGuard(v.x, x_gd, xg_ln) { t.Errorf("Test %d Guard violated in x vector %v %v", j, v.x[:xg_ln], v.x[len(v.x)-xg_ln:]) } if !isValidGuard(v.y, y_gd, yg_ln) { t.Errorf("Test %d Guard violated in y vector %v %v", j, v.y[:yg_ln], v.y[len(v.y)-yg_ln:]) } } } func TestAxpyUnitaryTo(t *testing.T) { var x_gd, y_gd, dst_gd float32 = 1, 1, 0 for j, v := range tests { xg_ln, yg_ln := 4+j%2, 4+j%3 v.x, v.y = guardVector(v.x, x_gd, xg_ln), guardVector(v.y, y_gd, yg_ln) v.dst = guardVector(v.dst, dst_gd, xg_ln) x, y := v.x[xg_ln:len(v.x)-xg_ln], v.y[yg_ln:len(v.y)-yg_ln] dst := v.dst[xg_ln : len(v.dst)-xg_ln] AxpyUnitaryTo(dst, v.a, x, y) for i := range v.ex { if !same(v.ex[i], dst[i]) { t.Errorf("Test %d Unexpected result at %d Got: %v Expected: %v", j, i, dst[i], v.ex[i]) } } if !isValidGuard(v.x, x_gd, xg_ln) { t.Errorf("Test %d Guard violated in x vector %v %v", j, v.x[:xg_ln], v.x[len(v.x)-xg_ln:]) } if !isValidGuard(v.y, y_gd, yg_ln) { t.Errorf("Test %d Guard violated in y vector %v %v", j, v.y[:yg_ln], v.y[len(v.y)-yg_ln:]) } if !isValidGuard(v.dst, dst_gd, xg_ln) { t.Errorf("Test %d Guard violated in dst vector %v %v", j, v.dst[:xg_ln], v.dst[len(v.dst)-xg_ln:]) } } } func guardIncVector(v []float32, g float32, incV uintptr, g_ln int) (guarded []float32) { inc := int(incV) s_ln := len(v) * (inc) guarded = make([]float32, s_ln+g_ln*2) for i, j := 0, 0; i < len(guarded); i++ { switch { case i < g_ln, i > g_ln+s_ln: guarded[i] = g case (i-g_ln)%(inc) == 0 && j < len(v): guarded[i] = v[j] j++ default: guarded[i] = g } } return guarded } func checkValidIncGuard(t *testing.T, v []float32, g float32, incV uintptr, g_ln int) { inc := int(incV) s_ln := len(v) - 2*g_ln for i := range v { switch { case same(v[i], g): // Correct value case i < g_ln: t.Errorf("Front guard violated at %d %v", i, v[:g_ln]) case i > g_ln+s_ln: t.Errorf("Back guard violated at %d %v", i-g_ln-s_ln, v[g_ln+s_ln:]) case (i-g_ln)%inc == 0 && (i-g_ln)/inc < len(v): // Ignore input values default: t.Errorf("Internal guard violated at %d %v", i-g_ln, v[g_ln:g_ln+s_ln]) } } } func TestAxpyInc(t *testing.T) { var x_gd, y_gd float32 = 1, 1 for j, v := range tests { xg_ln, yg_ln := 4+j%2, 4+j%3 v.x, v.y = guardIncVector(v.x, x_gd, uintptr(v.incX), xg_ln), guardIncVector(v.y, y_gd, uintptr(v.incY), yg_ln) x, y := v.x[xg_ln:len(v.x)-xg_ln], v.y[yg_ln:len(v.y)-yg_ln] AxpyInc(v.a, x, y, uintptr(len(v.ex)), v.incX, v.incY, v.ix, v.iy) for i := range v.ex { if !same(y[i*int(v.incY)], v.ex[i]) { t.Errorf("Test %d Unexpected result at %d Got: %v Expected: %v", j, i, y[i*int(v.incY)], v.ex[i]) } } checkValidIncGuard(t, v.x, x_gd, uintptr(v.incX), xg_ln) checkValidIncGuard(t, v.y, y_gd, uintptr(v.incY), yg_ln) } } func TestAxpyIncTo(t *testing.T) { var x_gd, y_gd, dst_gd float32 = 1, 1, 0 for j, v := range tests { xg_ln, yg_ln := 4+j%2, 4+j%3 v.x, v.y = guardIncVector(v.x, x_gd, uintptr(v.incX), xg_ln), guardIncVector(v.y, y_gd, uintptr(v.incY), yg_ln) v.dst = guardIncVector(v.dst, dst_gd, uintptr(v.incDst), xg_ln) x, y := v.x[xg_ln:len(v.x)-xg_ln], v.y[yg_ln:len(v.y)-yg_ln] dst := v.dst[xg_ln : len(v.dst)-xg_ln] AxpyIncTo(dst, v.incDst, v.idst, v.a, x, y, uintptr(len(v.ex)), v.incX, v.incY, v.ix, v.iy) for i := range v.ex { if !same(dst[i*int(v.incDst)], v.ex[i]) { t.Errorf("Test %d Unexpected result at %d Got: %v Expected: %v", j, i, dst[i*int(v.incDst)], v.ex[i]) } } checkValidIncGuard(t, v.x, x_gd, uintptr(v.incX), xg_ln) checkValidIncGuard(t, v.y, y_gd, uintptr(v.incY), yg_ln) checkValidIncGuard(t, v.dst, dst_gd, uintptr(v.incDst), xg_ln) } }